diff --git "a/data/dm_maths/full_data_2/2213_11255.jsonl" "b/data/dm_maths/full_data_2/2213_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2213_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the third derivative of -13780*p**5 + 1516*p**2 - 1 wrt p.\nAnswer: -826800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 238498528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 170667493 + -2?\nAnswer: 170667491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 u, and 1 k when three letters picked without replacement from {j: 6, c: 3, k: 1, x: 1, u: 4, e: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1411687*p**2 + 705822*p**2 + 705813*p**2 + 2*p.\nAnswer: -52*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3193 divided by 15148.\nAnswer: 3193\/15148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(18)*-3))**2.\nAnswer: 7\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 + -74. Let j = -17 - c. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*-2641\nAnswer: 39615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 70*p**2 + 33*p + 19 - 67*p**2 - 9*p. Is g(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - ((-50)\/20)\/((-1)\/(-2)). Let w(n) be the first derivative of n**2\/2 - 7*n - 1. Let u be w(g). Which is smaller: u or -4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 18. Let x be t(-14). Let m(n) be the third derivative of -n**6\/120 + n**5\/15 + 5*n**4\/24 - n**3\/3 - 5*n**2. What are the prime factors of m(x)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 4*z + 12. Suppose -166 + 174 = k. Does 36 divide u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.9965 - -3.996. Let g = 5 + c. What is g rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 111*o**3 + o**2 - 4*o + 2. Let q be m(1). What is the remainder when (0 - (-18)\/3) + q is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292, -2299, -7802, -18571, -36376, -62987, -100174?\nAnswer: -149707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-75))\/((-1)\/(-5)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160736.\nAnswer: 2, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5890\/420 + -14)\/(6\/24). Let i be (-14)\/18 + 2 + -1. What is the smallest value in f, i, 0.8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14490 and 40?\nAnswer: 57960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 46193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -196 + 2158\/11. What is the third biggest value in a, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 + 317*n**3 - 3 + 1003*n**3.\nAnswer: 1320*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 39. Suppose 8*q + 1670 = v*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 887, 873, 847, 803, 735, 637, 503?\n\"Answer: -s**3 - 7*s + 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((100\/12)\/(-5))\/(4\/12). Which is the closest to 1? (a) -0.5 (b) 1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165.7 - 173. Let m = 7 + z. Suppose -3*p + 5*p - w = -5, -5*w - 8 = p. What is the nearest to p in 0.5, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 220.5\nAnswer: 44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -4, 28, 92, 194, 340, 536, 788?\nAnswer: 1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 429, 919, 1409, 1899?\n\"Answer: 490*p - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 11*x + 10. Let d be p(10). Let z = 15 + -12. Solve -z*v + v = d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451658419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 - 12396*v\/7 + 19207602\/7.\nAnswer: 2*(v - 3099)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 23*r + 8 + 2)*(3*r - 3*r + 2*r) in the form i*r**2 + m + p*r and give i.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25259, -25263, -25251, -25217, -25155, -25059?\n\"Answer: r**3 + 2*r**2 - 17*r - 25245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9542092 to 4 dps.\nAnswer: 2.9542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 34\/20*15\/12. Which is greater: l or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g - 77*g = -599742. List the prime factors of g.\nAnswer: 2, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1.189 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/13, -0.1, 4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12679222 and 0.15.\nAnswer: -12679221.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2 + 18*w - 48 = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 317*t - 15. Let c(k) = -78*k**2. What is p(c(d))?\nAnswer: 12168*d**4 - 24726*d**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -213279318 divided by -6?\nAnswer: 35546553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {n: 5, r: 2, s: 7, d: 3, l: 1}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32600059 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 1 + 25*t - t**3 + 3 - 4*t**2 - 28*t. Calculate l(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbaasambvbssmbaa. Give prob of picking 1 m and 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*i + 6. Suppose 3*b = 9 + i. Factor 5*w**3 - w**3 + 2*w**2 + 1 - 3*w**4 - 2*w**3 + w**b - 3*w.\nAnswer: (w - 1)**4*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/317 or 1?\nAnswer: 12\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 2\/3, -4\/7, -143\/6, 1.2, -2\/861?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 1. Determine w(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167875885 to the power of 1\/3, to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 44 - 74. Suppose -h*w = -54*w. Solve -x - 3*x + 4 = w, -3 = -5*y + 2*x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9*n + 3 - 134*n + 3 - 162*n.\nAnswer: -287*n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.058 * 3.\nAnswer: 15.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -495 - -514. Suppose -9*p + h*p = 8*p. Are p and -4\/51 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144.4 * -45\nAnswer: -6498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 433 + -298. Let h(w) = -w + 33. Let d be h(0). Suppose 3*s - 51 = -0*s - 2*l, 2*s + l = d. Calculate the greatest common factor of v and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (17 - 8) + (-2 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000136410861 rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1014*w + 4. Let s(t) = 2*t. Calculate s(c(u)).\nAnswer: -2028*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22254299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 9:14 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7552 - -377621\/50. Calculate the common denominator of b and 5\/14.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 11:34 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 3*p + 7*p)*(-7 + 19 - 47) - p - 2*p + 2*p + (-4*p + p + p)*(6 - 2 - 3).\nAnswer: -178*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 1. Suppose -2*m = 5*x + 114, -2*x = m + 12 + 34. Let k = x + 16. Let s(f) = -f**2 - 2*f - 2. What is k*z(y) + 3*s(y)?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 283741548 to the power of 1\/2, to the nearest integer?\nAnswer: 16845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.4 from 6.8.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2912 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 46. Let d(j) = -3*j + 21. Let h be d(s). Solve -h*f = -f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-10) + (-1278)\/(-15). Suppose 3*k + m = 8*k. Let d = k + -1. What is the remainder when 46 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 2 + 16 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/25*(-3 - -8). Calculate the greatest common factor of m and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**14\/l)*l)\/l)\/(l*l\/(l**4\/l))*(l**(-12\/11)*l)**(1\/34) assuming l is positive.\nAnswer: l**(-4115\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 9*p**2 - 14*p + 43. Let l be j(10). Solve 0*r + 3*r - q = 3, 5*r = -l*q - 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**2 + 2058928672*p + 264949204773980224 = 0.\nAnswer: -257366084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/29)*v**(2\/25)*v)\/((v\/v**(2\/3))\/((v\/v**(-12))\/v)) assuming v is positive.\nAnswer: v**(29749\/2175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.094, 0.2, 0 in decreasing order.\nAnswer: 4, 0.2, 0.094, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 1\/2, -4\/9, -936, -65, -0.5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 448 - 2*g - 4*g.\nAnswer: -g + 448","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i - 6*i - 13248 = -33*i. What is the remainder when 3046 is divided by i?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*k = -141*k - 4*o - 30, 0 = -5*o - 25. Solve -k*q + 2 = -13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -6. Let m(o) = o**3 + 4*o**2 + 2. Calculate the remainder when m(-2) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 + 89. What is the remainder when 119 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -800876 smaller than -800873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.37 and -218.65.\nAnswer: -80.9005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + 37 - (-35 + 8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 49 = 3*w + 7*c, -5*w + 5*c = 135. Let g = 60 - w. Let i = -46 + g. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5 - 2346*s**4 - 689136*s**3 - 686792*s**2.\nAnswer: -2*s**2*(s + 1)*(s + 586)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 14*w - 30 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1242041 (base 5) to base 11\nAnswer: -17576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12231 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-2 - -1 - -1). Let n be 3\/2*(q - 1). Let b = n - -5. What is the greatest common divisor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5881*u = -12899*u - 238612 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/6 + 9743*f\/6 + 3185343 = 0. Calculate f.\nAnswer: -1674, 11417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2314 - -1708?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*g - 13. Let f be g\/2 + (-1)\/2. Suppose -9*i + 60 = -4*i. Solve -2*b + j = -j + i, 0 = -b - f*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*h**3 + 106*h - 106*h + (-5 + 5 + h)*(2*h**2 + 0*h**2 + h**2) in the form p*h**3 + z + g*h**2 + x*h and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/27 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n. Let m(o) = -30796436*o. What is h(m(l))?\nAnswer: 92389308*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34407 - -6.346.\nAnswer: -34400.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-2)*(-17 - -15). Suppose f*m - 13*m = 6. Solve 0 = p + m*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 151520 and 520850.\nAnswer: 8333600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/3))**(2\/175)\/(((z\/(z\/z**(4\/7)))\/z)\/(z*z*z*z**(-5\/4)*z)) assuming z is positive.\nAnswer: z**(6707\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 7:57 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120187609 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from mlnnnqnllnmdnmnnnd.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100317 and 2499?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311, 625, 939, 1253?\nAnswer: 1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t**4 + 7*t**2 + 6*t + 6. Let l(f) = -9*f**4 - 6*f**2 - 5*f - 5. Let r(o) = -5*d(o) - 6*l(o). What is the third derivative of r(h) wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(10\/(-8)*4\/10). Determine n so that 3*n**3 - 7*n**2 + 6*n**3 + 2*n**s + 5*n**2 - 5*n**3 - 4*n = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + -2 - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3362154 (base 11) to base 14\nAnswer: -ad3d6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2308\/16 - 2\/8. Suppose 4*p = -0*p + i. Let r = 94 - p. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2116 = -67*o - 25*o for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.223 less than 0.56?\nAnswer: 0.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 10) in base 7?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 5)*(24 - 24 - 51*d**5 - 2*d + 2*d - 2*d**5 - 4*d**4 + 4*d**4 + 2*d**5 + (-4*d - 2*d + 5*d)*(-6*d**4 + 2*d**4 + 2*d**4)).\nAnswer: -490*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 102984*l - 4223964. What is y(41)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 71.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*f**3*w**2 - 2589*f**2*w**2 - 4*w**2 + 7696 wrt f.\nAnswer: -24*f**2*w**2 - 5178*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/48475 and -80\/63.\nAnswer: 436275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7911 + 3584. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -687428*z**2 + 196954 wrt z?\nAnswer: -1374856*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 24. Let o be b(27). Factor 8\/3*w**2 - 10\/3*w + 4\/3 - 2\/3*w**o.\nAnswer: -2*(w - 2)*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -22\/43, -1, -1.2, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + o - 113. Let q be v(-8). Solve 2 = -q*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-230)\/15)\/(4\/(-6)). Let j = x + -13. What is the greatest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -23, -10, 3, 16?\n\"Answer: 13*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6500000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -695532 by -231844.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/8)\/(2\/(-2)). Let a be (3 - -3)\/(-3 + x). Suppose 0*o = a*o. Solve o = -t - t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130 - -128. Let g = -16 + 16. What is the nearest to 0 in g, h, 2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/1299974 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 14388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13282.\nAnswer: 2, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 30*j**2 - 396*j + 648.\nAnswer: 3*(j - 6)*(j - 2)*(j + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {v: 2, r: 1, j: 5, m: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2765*d - 1172326. What is p(424)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -4 + 0*n**2 - 1\/8*n**4 + 0*n + 0*n**3. Find f, given that y(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -59*l**3 - l**2 + l. Let x be g(2). Let n = -252 - x. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1817*g**3 - 912*g**3 - 904*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 413632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 264271639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 16*s + 18. Let q = -57 - -65. What is the hundreds digit of j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**3 + 6*f**2 - 5*f. Suppose -4 - 14 = -3*m. Let g(k) = k**3 - k**2. Let r(c) = m*g(c) + i(c). What is the second derivative of r(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v + 11. Let i(z) = 3*z - 3. What is 7*i(p) + 2*o(p)?\nAnswer: 7*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(4 - 2*c - 4) + 6 - 65 - 49 + c as q + l*c and give q.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (4 + -5 + (-3 + 5 - -3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 11349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**3 - 10*r**2 - 170*r - 235. What are the prime factors of u(-14)?\nAnswer: 16649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/29*3\/(3\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 - -116. Let l = z + -11. Is l greater than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -556 - -558. Calculate the greatest common divisor of 146 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83.91 + -84. Round z to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -58. Is (l\/(-4))\/(29\/24302) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4804 in -2, -214, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a minute in seconds?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/35 and -24\/931?\nAnswer: 4655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -6, 0*v - 5*v + 4 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c + 150 = 0. Let x be 0 - 1*(c - 2). What is the highest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 104846305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -29. Let m = -5838 + 5846. What is the least common multiple of t and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842761757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find x such that -9\/7 + 6\/7*x + 2\/7*x**5 - 8\/7*x**3 + 2*x**2 - 5\/7*x**4 = 0.\nAnswer: -3\/2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1376 divided by 4191.\nAnswer: -1376\/4191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21114)\/(-3519)*(-4)\/21.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101001100 - -110110111110010?\nAnswer: 110000010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 342, 517?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-7 + 7 + 4*u**2) - 9 + 15*u**2 + 9.\nAnswer: 23*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75\/4*b**2 + 85\/2*b + 0 - 5\/4*b**3.\nAnswer: -5*b*(b - 2)*(b + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + q**5 + 0 + q**5 - 5*q**5 + 0*q**5 + 86*q + 8*q**5 - 86*q + (0 - q + 0)*(-q**2 - 2*q**4 + q**2).\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v - 37. Let g be z(-4). Let p be 5*(4 - (g - 0)). Let r be 2\/(-6) - (-1)\/3. Solve -5 = -r*n + p*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g = 45563 - 10258. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000028057348 rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 103742 + 2?\nAnswer: 103744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 1007, -5, 4, -1 in descending order.\nAnswer: 1007, 36, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5293956, 5293933, 5293852, 5293683, 5293396, 5292961, 5292348, 5291527?\nAnswer: 5290468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-10)*471 + 1. Let r = -1001\/10 - f. Calculate the common denominator of -109\/6 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, 4\/9, 18, 2\/11.\nAnswer: -0.5, 2\/11, 4\/9, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -5\/498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 51*u**3 - u**2 + 3*u - 3. Let w be z(1). Suppose -c = c - w. Solve 5*s + 2*r - c = 0, r + 10 = -s + 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27246 is divided by 115?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 757436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -246*m**2 + 3691*m + 10. Determine j(15).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/13, 0.4, 0.06, 1, 0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 5*n + 55. Let y be o(10). Suppose -15 = -5*m - y*u, -2*m = -7*m + 4*u - 3. Calculate the least common multiple of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3*y**3 + o**3*y + 5756*o**2*y**3 + 6*o*y + 2*y**3 - 2*y**2 - 846 wrt o.\nAnswer: -6*o*y**3 + 6*o*y + 11512*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 4*n**2 + 19*n + 14. Let s be m(7). Find w such that -3\/2*w**3 - 3 + s*w**2 + 9\/2*w = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -883 or 403133?\nAnswer: 403133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11 and 95\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f - 5*f**2 - 3*f + 17*f**6 - 10*f**5 + 3*f + 12*f**5 wrt f.\nAnswer: 2040*f**3 + 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 - 1.30064. Round b to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 85951*a**3 + a**2 - 9617*a**3.\nAnswer: -95568*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 380 (b) -1\/6 (c) 2\/13 (d) -0.5 (e) -2\/1853\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 212*m**2 + 18 - 212*m**2 - 3*m**4 + (3*m**3 - 3*m**3 + 2*m**3)*(0*m + m - 3*m).\nAnswer: -7*m**4 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 m when four letters picked without replacement from {m: 2, x: 4, b: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -524 + 34?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/8*(-24)\/(-14). Suppose d - 5 = 2*r - 2*d, r + 3*d + 7 = 0. Let g = r - -9. Which is greater: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1122 + -13123?\nAnswer: -20311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3 = -7*g + 3*g, -18 = -5*t + g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = -3*c + 53. Let i = c + 28. Let b = 6 - i. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266430?\nAnswer: 2, 5, 11, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 37 + (800 - 804)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 6*k**2 - 6*k + 1. Let r be g(-5). Let b be (1 - 0)\/(21\/r). Factor -b*z + 4\/7 - 2\/7*z**2.\nAnswer: -2*(z - 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 24811*b**2 + 118*b - 120. Is n(1) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 23*s**3 + 2*s**2 - 5*s**2 - 24*s**3 + 3. Let g be y(-3). Is 3 + g + (-7 - -237) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b + 4836 = -17*b - 49*b - 42*b for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.222547401 rounded to three dps?\nAnswer: 0.223","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1, -0.5, 54, -5 in ascending order.\nAnswer: -5, -0.5, -1\/4, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 5:46 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16928, -15008, -13088, -11168?\nAnswer: -9248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25507872?\nAnswer: 2, 3, 13, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*6)\/(190\/(-4)*(-4288)\/(-5360))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, h: 4, w: 2, i: 3}. What is prob of picking 1 h and 1 w?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 + 102*j + 6. Let x be y(34). Let b be 31780\/60 + (-4)\/(-18)*x. Calculate the greatest common divisor of b and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*g + 3*g - 5, 0 = 2*d + g - 7. What is the second derivative of 6*p**d + 3*p - p - 2*p + 2*p wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7858330 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*t**2 + 12*t - 8*t + 0 + 1 - 5*t**2 - 10*t to the form x*t + n + d*t**2 and give d.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6139 - -9062. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(100\/10))\/(1575\/(-25))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 15739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29565 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*g**3 + 57*g**3 + 58*g**3 + 46*g**3.\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssswbssssbsbsbsb. Give prob of sequence bbbb.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 11*t + 1. Let n(c) = -c**2 - 5*c. Give 4*b(i) + 7*n(i).\nAnswer: i**2 + 9*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 204*t + 207*t + 33, -4*u + 55 = -5*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izis when four letters picked without replacement from {x: 5, z: 1, s: 4, i: 5}?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*f + 16. Let r = 0 - f. Let d(j) = 3 - j**3 + 3*j**2 - 1 - 4*j + 3*j**2 - 3. Determine d(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -101*d**3 - 1211*d**2 - 8*d + 38. Give b(-12).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-6) + 33\/2. Let b(r) = -2*r**2 + x*r - 19*r + 6*r**2. Let u be b(-1). Sort u, -0.5, 2\/11 in increasing order.\nAnswer: -0.5, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*h*p**2 + 4*a*h + 58*a*p + 2*h*p**2 - 2*h*p - 40*p with respect to a.\nAnswer: -h*p**2 + 4*h + 58*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -0*z + 3*z. Let d = -24 + z. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r + 197. Let a be l(0). What is the first derivative of -50 + 197*f**2 - a*f**2 + 49*f**4 wrt f?\nAnswer: 196*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Let i = t + -6. Sort -1, 0.4, i in ascending order.\nAnswer: i, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (183\/16)\/(6\/4) and (-2)\/(-2) + (-17)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and -1081.\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p - 8. Suppose 3*g - 28 = -1. Let q be n(g). Suppose -q = -r - 6. Calculate the remainder when 24 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 91*t + 2. What is the tens digit of k(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiiiiiiiiiiiiijii.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 3. Let m(u) = 3*u + 6. Let f(w) = -5*k(w) - 2*m(w). Let d be f(0). Sort 5, d, -2 in descending order.\nAnswer: 5, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 18 = -2*x. Suppose h = x + 1. Let b(v) = -2*v - 1. Calculate the least common multiple of h and b(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8735058481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61 - 2?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -218395336*n**3 - 11615*n**2 + 332*n wrt n.\nAnswer: -1310372016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1)\/(4 - 0). Let b be (-4)\/14 - 60\/378. What is the third smallest value in b, g, -3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15*(-5)\/6)\/(((-1056)\/891)\/(-32)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 490 divided by 1001798\nAnswer: 35\/71557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14698 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:52 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/(1\/(-4)). Let i be (d\/6)\/(9\/(-36)). Factor 8\/3*h**3 - 2\/3*h**2 - i*h + 0 + 2*h**4.\nAnswer: 2*h*(h + 1)**2*(3*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5.2, 1\/3, -24, -144.98?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-2))\/(-2*(1 + -2)). Suppose -4*u - 16 = -i*v, -u + 6*u = 4*v - 16. Let o = -10 + 16. Calculate the least common multiple of v and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**3 + 27 - 4*m**2 - 25 + m**3 to g*m**2 + w + i*m**3 + a*m and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 + 130.7. Which is the third smallest value? (a) 2 (b) 4 (c) t (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162468709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 549*j**2 + j + 2*j.\nAnswer: -549*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-4))\/(110\/176). Solve 0*y - q*y - 13 = -3*b, -2*b - y = -5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8287\/3 + -2762. What is the nearest to 25\/2 in 5, y, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16853.8? (a) 0.5 (b) 4 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 57.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let k(n) = n**2 + 3*n + 4. Let c be k(-3). Suppose 36 + c = q*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 12662 = -258*k - 4509 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*h + 88, 2*h = -3*h - 4*z + 164. Let b be 7\/((-14)\/(-8)) + 20\/4. Calculate the greatest common factor of h and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1296*s - 130*s + 64052*s.\nAnswer: 62626*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*t - 41 = -t, -9 = -3*t. Let a = 13 + v. Suppose -a = -b - 1. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/966*(-6030)\/(-60) and 73\/69?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9671\/1378 + -586\/53. Find the common denominator of 4\/3 and d.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-51)*(-147)\/(-28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llfwlhfblww. What is prob of picking 1 b, 1 w, and 2 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - ((-15 - -4) + 1) - 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -24. Let u = -18 - l. Let t be 27\/9*(-2)\/12. Put -1\/11, t, u in descending order.\nAnswer: u, -1\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -3*d - 30. What is the third derivative of 43*f**d + 3*f**2 - 49*f**6 - f**3 + f**3 wrt f?\nAnswer: -720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/4))**50\/((r**(-3)\/r)\/(r\/(r\/((r\/(r*r\/(r**(-3\/7)*r)))\/r)))) assuming r is positive.\nAnswer: r**(911\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1882457 is divided by 668.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 1) + 4 - -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24\/2 + 80\/((-2080)\/(-3159))*6\/(-9)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 107966339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -359, -87, 505, 1417, 2649, 4201?\nAnswer: 6073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**3 + 3468*l**2 - 438148*l + 434676 = 0?\nAnswer: -979, 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r + 25. Let j(u) = 23*u + 66. Let n(t) = 11*a(t) - 4*j(t). Determine n(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-1 + -1 + -4 + 3*sqrt(637)*-2 + 1)**2*2.\nAnswer: 784*sqrt(13) + 62458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2. Let x(f) = 2481*f. Give x(r(p)).\nAnswer: 7443*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4 = 2*a. Let w(k) = k**2 + 5*k - 2. Calculate the remainder when w(-6) is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9978024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9*r**3 + 5*r**2 + 5*r. Let w(c) = -44*c**3 - 24*c**2 - 24*c. Let y(l) = -24*b(l) - 5*w(l). Let n(d) = -4*d**3. Calculate -4*n(o) - 5*y(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/471 - -155\/12089. Is v less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 17 - 7 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + w - 3. Let h = 1 - w. Suppose 5*a + 5*p = 35, -2*p + h*p = 5*a - 32. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(-6)\/(-24) + (-3)\/2. Factor t*r - 1\/3*r**2 + 4\/3.\nAnswer: -(r - 2)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 24, 1, -20, -33?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-3)*n)**(-3\/29)*(n**(2\/11)\/n)**(1\/13))**(-4\/15))**2 assuming n is positive.\nAnswer: n**(-1592\/20735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)*n)**(-41)*(n*n*n\/(n*n*n\/(n\/((n**0\/n)\/n*n)))*n)**(2\/53)*(n**(-1\/4))**(3\/2)\/(n**(-2\/9)*n*n**(2\/13)*n*n) assuming n is positive.\nAnswer: n**(-8927807\/248040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 133 divided by -786\nAnswer: -133\/786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*g + 264*g + 8 = -4*y, -5*y - 8*g = 32 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482222 = -27*l + 1065914 + 4406988. Round l to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 1055\/67211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508983 is divided by 63592.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 111*r**2 + 27*r**2 + 51*r**2 - 130*r**2.\nAnswer: -163*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19188684 is divided by 6396181?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 14*i + 22. Let f be k(-13). Let x be -4*(-3)\/36*-2*f. Let q(g) = -g**3 + g**2 - 15*g - 7. Is q(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 16 = l. Let g(b) = -b + 5. Let d be g(4). Let t be d*6*(0 - -1). Solve l*j - v + 6 = 0, -t - 6 = 2*j - 4*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 10453, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 9:30 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 7\/2039, 1\/2, 7\/5?\nAnswer: 7\/2039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwv. What is prob of picking 2 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430*f**3 - 431*f**3 - 1170*f**2 + 1170*f**2.\nAnswer: -861*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/12012 and -59\/1092.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/15)\/x**(-1\/3))**19)**(6\/11) assuming x is positive.\nAnswer: x**(114\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3606*p + 3058 = 3745*p for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16\/3 + -12. What is the common denominator of y and 7 + -249*1\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3180195?\nAnswer: 3, 5, 23557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 447767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -115*h**2 + 122 - 47 - 250 wrt h.\nAnswer: -230*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1039 + 1042. Let z(f) be the second derivative of -7*f + 1\/2*f**4 - 5\/2*f**2 + 0*f**i + 0. Differentiate z(k) wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-29 + 24 - (-172)\/25) + 20\/(-250). Factor -1\/5*x**4 + 4\/5 + d*x**2 - 1\/5*x**3 - 11\/5*x.\nAnswer: -(x - 1)**3*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 51 = 5*f - 5*o, o + 3 = 0. Suppose 4*z = -2*l + f, -3*l + 4*z - 5*z = -3. Let a = 5 - 3. Solve l = -5*x + 2*d + 30, -5*x + 2*d = -a*x - 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 949199.4ns?\nAnswer: 0.9491994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*r = m - 1115, -1091 = -3*m - r. Suppose 0 = -i - 2*i + 4*f + m, 2*f + 4 = 0. What are the prime factors of i?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.61011 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -5 + (-9)\/(-3). Let k be (((-33)\/u)\/(-11))\/(6\/16). Let b(d) = -92 + 43 - 4*d + d**3 + k*d**2 + 46. Give b(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59970 - -3?\nAnswer: 59973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 371 - 0?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/10*(-40)\/(-3). Let y = 251 + -165. Let l = y - 54. What is the highest common factor of l and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**4\/24 + 31*u**2. Let f(r) = -r + 25. What is f(d(m))?\nAnswer: m + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5156 is divided by 2575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4426 and 66.\nAnswer: 146058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000000001011 + 1000?\nAnswer: 1100000000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1\/6 (c) 38 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-5))\/(10\/(-100)). Suppose -u + 15 = -d*u. Let g(l) be the second derivative of -l**3\/6 - 3*l**2\/2 + 13*l. Calculate g(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5678 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuiqx. Give prob of picking 1 q, 1 t, and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2. Let j(r) = -86*r. Give w(j(v)).\nAnswer: 7396*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-12))\/((-60)\/(-288)). Which is greater: k or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 4*g - 2. Let o be b(-3). Let m(q) = -q**2 - q. Let d be m(o). Let l = d - -7. What is the remainder when l is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 18*x - 31. Let w be a(-16). Let y(h) = -h**3 - h**2 + h + 1. Let r(s) = 14*s**3 + s**2 - s + 2. Let u(c) = r(c) - y(c). Determine u(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205.91699 + -209.917. Let p = u - -4. What is p rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 5:10 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116*j**3 + 176 + 21*j**3 - 313 with respect to j.\nAnswer: 411*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60069672 and 81432.\nAnswer: 180209016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 632.8856 nanometers?\nAnswer: 0.00006328856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(3\/(30\/8))\/(72168\/1940)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (896\/70 + -3)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i - 112. What is the remainder when h(27) is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 f, and 1 s when three letters picked without replacement from sfslsfs.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -176354.1827 rounded to the nearest one hundred?\nAnswer: -176400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63625 - 7?\nAnswer: -63633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.37? (a) 2\/3 (b) -13 (c) 0.072 (d) 0 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 u when four letters picked without replacement from {y: 4, u: 3, s: 1, z: 2, v: 4}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 2\/281, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2446 and 0.02596?\nAnswer: 63.49816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 15\/(-5) + 4. Does 29 divide t + 116 + 1 + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392458.\nAnswer: 2, 31, 37, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**2 + 38*d - 5. Let a(n) = 5*n**2 - 36*n + 6. Determine 5*a(b) + 6*r(b).\nAnswer: b**2 + 48*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3575.306 rounded to the nearest 10?\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -120*q. Let c(x) = -6*x**2 + 3*x. Let i(b) = -23*b**2 + 12*b. Let r(l) = 4*c(l) - i(l). Calculate r(s(v)).\nAnswer: -14400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 214\/4 + (-6)\/4. Let s = c - 55. Sort -2, 3\/2, s in descending order.\nAnswer: 3\/2, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 846 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z - 49 - z + 8*z - 5*z. What is the tens digit of p(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 34*c - 42*c - 89*c**3.\nAnswer: -89*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5225, 20320, 45279, 80096, 124765, 179280, 243635?\nAnswer: 317824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7094520, -7094518, -7094516, -7094514, -7094512?\n\"Answer: 2*f - 7094522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b**2 - 61*b + 11. List the prime factors of x(8).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*i = 2*w - 177, -4*w - 1428979 = i - 1428940 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 8. Let n be z(-6). Let u be ((-10)\/180)\/((-2)\/8). Which is the nearest to u? (a) n (b) -3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*k - 5005 = -3371 + 11590 for k.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)\/(sqrt(63) - (sqrt(63) - 2*sqrt(63))))\/((sqrt(216) + sqrt(216)*2 - sqrt(216))*-3 - sqrt(216))*1.\nAnswer: -sqrt(7)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*s + 25, 6 + 4 = 3*u - s. Let r = -7 + u. Let q be (2 + r - 0) + 1. Calculate the highest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 0*h - 2*h + h. Let p be u(4). Let z(y) = -y + 12. Let g be z(7). Sort g, p, 2 in increasing order.\nAnswer: p, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1503530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-18))**(7\/8))**(2\/63) assuming k is positive.\nAnswer: 1\/sqrt(k)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 2:47 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -10*r + 264. Let y be (2\/(-5))\/(33\/15) - (-963)\/33. Calculate s(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 3 + 4)*(0 - 3 + 1) - 2 - 5 + 4 + 3 - 2 - 2)*(2 - 2 + 2*f) to the form s + p*f and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -4.42.\nAnswer: -4.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 51. Let k = j + -38. Let g = k - -0.9. Which is the nearest to g? (a) 0.1 (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5287*s + 21. Let g be i(-9). Is ((-20)\/(-12) + -2)*g\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**4 - m**3 - 18*m**2 - 2*m wrt m?\nAnswer: 24*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-6)*9\/6. Solve -13 = -4*g + a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 9298. Let g(h) = 2*h. Give g(o(t)).\nAnswer: 2*t - 18596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3598*u**3 - 12*u + 11*u + 5643*u**3 + 10169*u**3.\nAnswer: 12214*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + sqrt(3) - (sqrt(21)*2)\/sqrt(7).\nAnswer: -sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 487*a**4\/3 + a**3\/3 - a**2\/2 - 44*a. Is x(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 2173 and 820574?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -29 + (0 - 2) + -1. Let n = q - -73. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 4*f**2 - 4*f + 2. Suppose 3*z = 4*i - 82, 0 = -5*z - 6*i + 4*i - 180. Let j = z - -36. Determine p(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 4 - 5)*(-14*d + 7*d - 8*d) + (6*d - 2*d - d)*(-3 + 2 + 2) - 5*d + 2*d - d + (0*d - d + 0*d)*(0 + 1 + 1) as x*d + g and give x.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -1010101?\nAnswer: -1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101115 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1270 + -1265. Let h(n) = -n**2 + 6. Let u(q) = -q**2 + 5. Give o*h(m) - 6*u(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 14 = 10. What is the first derivative of -4 + 0 + 4*h - m + 4 wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100011 (base 3) to base 10\nAnswer: -976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u**4\/3 - 1504*u**3\/3 - 18809*u**2\/3 - 9708*u - 3936 = 0. What is u?\nAnswer: -123, -12, -1, -8\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**5 + 70*p**4 - 225*p**3 - 2630*p**2 - 5980*p - 4200 = 0 for p.\nAnswer: -15, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -494, -14\/5, 0?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*k*m**3 - 514*k*m + 93085*m**3 - 3128*m**2 wrt m.\nAnswer: -306*k + 558510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 11 - 41. Suppose 33 = 10*p + f. Put 1, -3, -5, p in decreasing order.\nAnswer: p, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80888 - 1015 = -8*c + 28905. Is c a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/10 and -27\/251.\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 10*m**2 + 9*m + 5. Let a be p(9). Suppose -u - a*u = -30. Differentiate -4 - 2*w**4 + 0*w**4 - u*w**4 - w**4 wrt w.\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -6, -2, -2\/9 in decreasing order.\nAnswer: -0.01, -2\/9, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*d**3 + 4*d**3 - 3*d**3)*(0 - 2 + 6) to the form y*d**2 + k*d**3 + r + u*d and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4*l - 16*a**2*l - 339*a*l - 2*l wrt a.\nAnswer: 12*a**2*l - 32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3781502844.\nAnswer: 2, 3, 7, 89, 505819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*y**2 + 0*y + 109*y**2 - 14 - 7*y + 134*y**2.\nAnswer: 288*y**2 - 7*y - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15*(-3 + (-17)\/(-5)). Let k be (-140)\/(-72) - (y + -4). Is k equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -208 in 3, -2, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 771 - 3*q**4 + 30*q - 388 - 381 - 8*q**3 as x*q**2 + l*q + h*q**4 + o + i*q**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -17, -19, -21, -23, -25?\n\"Answer: -2*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 158 - -4?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 9552 + 9534 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g + 38*g + 42 = -3*m, -5 = -5*g. Let t(b) = -2*b**3 - b**2 + 3*b - 1. Let u be t(2). Let k = m - u. Solve z - 4 = -k*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 334\/(-4)*(-16)\/(-4). Let t = 497 + k. Let g = t - 52. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122122 + 1121012010?\nAnswer: 1120112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - r + 2. Calculate o(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 5. Let r = 40 - u. Let y = r - 18. Solve 5*c - 2*q - 11 = 0, -y*q + 2*q + 1 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 67*z**5\/30 + z**4\/24 - 61*z**3\/6 + 109*z**2. What is the second derivative of r(m) wrt m?\nAnswer: 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*r = -20*r - 184382. What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (2 - (12 - 8)) + -36.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = 5*l, -14 + 0 = -3*l - 5*w. Let y be (1 + l)*0\/(-4). Round y to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and 13.\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 8. Let m(q) = 4*q + 1. Let l be m(1). Solve z*f = -u + 13, 0*f - u + 15 = l*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/j**(-3))))\/j)**(-1\/88))**(1\/43)\/((j**(1\/4)\/j)\/j**(-2\/3))**22 assuming j is positive.\nAnswer: j**(20803\/11352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p. Let m(q) = -186*q + 5. Let r be m(10). Let o be r\/(-20) + (-3)\/4. Let i(a) = a + 92 - o. Calculate i(k(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11426 + 11450. Solve 19*c - n*c - 6 = i, -3*c = -i + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p + 13. Let v be t(-10). Let a(g) = g + 4. What is a(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 21*x**5\/20 + 10*x**2 + 8*x. Differentiate m(i) wrt i.\nAnswer: 63*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-3)\/(-30)*52?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-1 + (2 - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38127802?\nAnswer: 2, 151, 191, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82\/255 + 4\/51. Let f = 6 + -6.5. Which is the fourth biggest value? (a) r (b) -0.4 (c) -1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 549 and 327326?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*l - 1 - 5, 3*l + 9 = -n. Let z be (-2 - l)*(4 + 2). Let y = 6 + z. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -96, 4, 11 in ascending order.\nAnswer: -96, -3, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00158128943 to seven decimal places.\nAnswer: -0.0015813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*(n*n*n*n**5)\/n*n)\/n)*n**(-5)*n*n**(-6)*n*n**(-3)*n)**2 assuming n is positive.\nAnswer: n**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4\/2 + 1347*z**3\/2 - 54537*z**2\/2 - 1347*z\/2 + 27270 = 0.\nAnswer: -1, 1, 45, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o + 21*o + 464 = 0. Solve 3*m + 10 = o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhh. What is prob of sequence mh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 - -0.3. What is the closest to h in -0.4, 5, 0.1, 24?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212012814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 10, d: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 t when four letters picked without replacement from {l: 2, d: 3, t: 2, j: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 912931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*c + 2*l, 2*c - 4*c = -5*l + 2. Let s = 0 - c. Calculate the remainder when 16 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/28)\/(6\/(-7)). Which is smaller: s or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 7 = 5. Suppose 0 = -u*n + 2*k + 335 + 265, 0 = 5*n + 2*k - 1486. What are the prime factors of n?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 * 67\nAnswer: -3417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -4 (c) -2 (d) 0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 136, 3\/4, 0.5, -0.03, -1\/293, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2\/13 + 22*r\/13 - 4 = 0.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/1330*7*-2)\/((-2076)\/40)\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -99*r - 2015. Determine p(-20).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126 + -166. Which is bigger: h or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.4 (c) 0.0527 (d) -0.5 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2558992 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*b + 17150 = -5488 - 40 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round -24127068.339 to the nearest one hundred thousand.\nAnswer: -24100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**3\/15 - 598*q**2 + 26924*q\/15 - 5984\/5 = 0.\nAnswer: -4488, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 15*y**2 - y + 21. Let s be z(15). Is 14\/(((-22)\/55)\/(s\/(-10))) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9635 divided by 1?\nAnswer: 9635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -11, 2, 217?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -24. Suppose 2*c - g = -w + 4*c, -5*w + 265 = 2*c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/5*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**3 - z**2 + 8*z + 3. Let m(n) = -5*n**3 - n**2 + 7*n + 3. Let w(u) = -3*c(u) + 4*m(u). What are the prime factors of w(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38513544095 plus 993?\nAnswer: -38513543102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 852, 1705, 2558?\n\"Answer: 853*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*y**3 - 361*y**3 + 748*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 555, 556, 557?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -604\/5 - -4907\/40. What is the common denominator of k and ((-2)\/(-24))\/((-2)\/26)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 1, -4, 2, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 15*b**2 - 40*b + 2. Let o(d) = 63*d**2 - 160*d + 3. Let w(l) = -4*o(l) + 17*y(l). Calculate w(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 5:07 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 2*h. Let o(p) = p + 0*p - p**3 + 5*p**2 + 8 + 4*p + 0*p**3. Let t be o(6). Sort 14, t, h in decreasing order.\nAnswer: 14, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m + 9. Let w(a) = -69. Let s(p) = -5*g(p) - w(p). Give s(7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 5811570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3870 (base 15) to base 11.\nAnswer: -9047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -4. Let o be (2*-1)\/(4\/v). Are 0.3 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 5.95. Let q = u + -0.008. What is q rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 870110 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99161773?\nAnswer: 937, 105829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11*c**2 + 26*c + 11. Calculate u(4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1277*h**4 + 27.\nAnswer: 5108*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 150 = 5*s + 449, 0 = 3*i - 4*s + 1816. Let h = -522 - i. Calculate the remainder when h is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**5 + 65*j**4 - 1200*j**3 - 22860*j**2 - 99360*j - 77760 = 0. What is j?\nAnswer: -12, -6, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)\/sqrt(4)*-5.\nAnswer: -25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -6*d + 2*d. Let v(g) = g**3 - 10*g**2 - 18*g - 8. Let x be v(12). Suppose d*s = 3*s + x. What is the remainder when 28 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x. Let q(p) = -167*p**2 + 1. What is q(d(i))?\nAnswer: -6012*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5765.039 litres to millilitres.\nAnswer: 5765039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/3*(-176)\/(-440)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -916*n**3 + 95*n**2 - 95*n**2 + 1081*n**3.\nAnswer: 165*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 463 = p, -5*p - 70 - 148 = -s. Suppose 4*l = s - 57. Let t = l - 21. Solve 4*a = -k - 4, 4*k - t + 5 = a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 + 0)*((-1 - 1819) + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.051201027 to three dps.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207733?\nAnswer: 43, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -0.8899.\nAnswer: -1.2899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 3*s - a, 5*s - 3*a = a + 185. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 35648.7 nanoseconds?\nAnswer: 35.6487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*k + 33. Let j(f) = 3*f**2 + 3*f + 4. Let q be j(3). Let a = q - k. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.085, 1, 5, -1\/6, -2 in decreasing order.\nAnswer: 5, 1, 0.085, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (6 + -14 + 7 - -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -9 + 45. Let r(g) = 5*g + 9. Let m be r(z). Let l(u) = -u**2 - 7*u + 1. Let x be l(-5). What is the highest common factor of m and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212 + -218. Let n(g) = -g**3 - 5*g**2 + 5*g. Calculate n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -k - 4*k - 2*h, 3*h = k - 20. Let w be 0 - -4 - -3 - 6\/(-6). Solve 3*p = k*p + w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39b578 + 3?\nAnswer: 39b57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 7*z**2 - 11*z - 9. Let p be f(-8). Suppose 3*q + 5*m = 70, m + 10 + p = 2*q. What is the greatest common factor of q and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28800 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/202792 and 43\/40.\nAnswer: 1013960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 2*p**2 + 4*p - 5. Let n be t(-4). Let z = 140 + n. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-45)\/6*20\/(-30) - -23 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 1. Let c(z) = 11*z**2 + 4*z - 5. Calculate -c(v) - 6*l(v).\nAnswer: -5*v**2 - 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 329617, 329616, 329615, 329614, 329613, 329612?\n\"Answer: -j + 329618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46.7 + 30.6. Let r = -16 - a. What is the second biggest value in r, -2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58279270645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjjjjkjjjjkjjjjjkjj. What is prob of sequence jj?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 33 = -48*u + 23*u, -3*u + u = -63*t + 66*t + 72 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 85*l**3 + 77*l**3 - 112*l**3.\nAnswer: 50*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -158, -1.\nAnswer: -158, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37276*f - 66009.\nAnswer: 37276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 100 = -3*z. Suppose -3*b + z - 2 = 4*y, 4*y - 3*b = 28. Calculate the remainder when 15 - 1\/1 - 2 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -723 - -1138. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/593 or 2\/97?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*l - l + 6, 2 = -4*l - 2*n. Calculate the common denominator of -21\/10 and ((-161)\/28)\/((-1)\/l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7}. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 23*y - 5. Calculate w(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93454786.\nAnswer: 2, 1459, 32027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 32*v + 8. Let k be h(6). Let d be ((-275)\/10 + -2)*k. What is d rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56331 (base 9) in base 4?\nAnswer: -21021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 5. Let m(h) = -3 + 6 - 1 - 1. Suppose -3*d - 30 = d + s, s = -3*d - 23. Let c = 9 + d. Calculate c*w(z) + 10*m(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p + 4*x = 27*p + 13548, 4*p - 27100 = -4*x. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(440) + -1*sqrt(440) + sqrt(440) + sqrt(440)))\/((sqrt(392) - -1*sqrt(392) - sqrt(392)) + sqrt(392)))\/(2*sqrt(55)\/(sqrt(704)\/sqrt(4))).\nAnswer: 10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3)*-5 + -2 - (sqrt(2178)*-2)\/(-6*2*sqrt(9)))**2.\nAnswer: 202*sqrt(2)\/3 + 10273\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9058321 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -944300 to the nearest 10000.\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2358391\/3 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 378. Suppose -10*g = -5*g - 2*l + 13, l - 4 = 0. Calculate the common denominator of 17\/8 and -4 + 597\/b - g.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-27))**8)**(-24) assuming n is positive.\nAnswer: n**5184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 496991843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18648 is divided by 345?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024647 rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.29*4\nAnswer: -1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00561106 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.581 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 6*h**2 - 2*h + 5. Let v be q(-4). Let o be (-3)\/(-12) - v\/(-12). Is (-15 + -25)*(-2)\/o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 152?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900777 is divided by 263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -372, 3, 5 in decreasing order.\nAnswer: 5, 3, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 + 4)\/(1 - 2). Suppose 14 = -r*y - 6. Let k be (y\/(-165))\/((-13)\/65). Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14\/55 + 16\/11. Let t = -25.4259 - -25.0259. What is the nearest to 0.3 in -5\/3, w, -1\/4, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3285\/(-146) + ((-12)\/(-14))\/(168\/784).\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4666266153 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98376*j + 21*j**2 - 98376*j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 1, p: 2, q: 1, u: 2}. What is prob of sequence uy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 1. Let j be o(8). Let c = j - -9. Solve 4*r - 3*l + 2*l = c, 2*r + 5*l = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 722*v**3 + 31780*v**3 - 226728*v**3.\nAnswer: -194226*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48094630 is divided by 32235.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9255*y - 354*y - 148158 - 499716 + 100161 = 0 for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -215 + 218. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*6\/27*-6. Let n(t) = -t**2 - 6*t + 5. Let k be n(-6). Is k less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/(-108)*1\/(4\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3270.9 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**4\/6 - 11*w**3\/2 + 9*w**2\/2 - 22*w. Let d be h(16). Is d at least as big as -11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300 - 13202?\nAnswer: -12302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -12. Let q = n + 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2888 is divided by 181.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101024 = -187*a - 124586 for a.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.4 and -2849.\nAnswer: -6837.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/14 + (-266)\/(-98). Suppose q*l + 142 = 2*a, -328 = a - 5*a - 5*l. Suppose 11*w + 22 - a = 0. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -3. Calculate the least common multiple of 10*(12\/(-5))\/b and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9482? (a) -310 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 675\/8. Let z = 73 + -43. Let p = 25 - z. Which is the nearest to 0? (a) -2\/3 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkqq when four letters picked without replacement from {b: 1, q: 5, k: 1, m: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 150 + -318?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001010001101 + -1101?\nAnswer: 110001010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7320*g - 320511 = 1569 for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*x = 2*c - 523, -2*x - 107 = -c. What is the highest common divisor of c and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 6:23 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.9076592 take away -11?\nAnswer: 35.9076592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0.1, 29, 1\/7, 0.02, -31?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 426542994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 56*w + 414. Calculate d(38).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5260 divided by 1052\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k + 3*k + 5*k. Let j(w) be the second derivative of w**2\/2 - w. Let p(n) = 2*n - 2. Let l(z) = 2*j(z) + p(z). Calculate g(l(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 2*i - 14, 0 = -4*w - 0*i - 4*i + 24 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 99. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (25\/2 - -4)*2. Suppose g - 53 = -4*y, 3*y = -4*g + 10 + u. Calculate the greatest common factor of 52 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4))**(-16\/5)*(n**1*n)**37)**(-3\/16) assuming n is positive.\nAnswer: n**(-549\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 8*q + 3. Let n(h) = h**3 - 6*h**2 - 8*h + 9. Let l be n(7). Let i(v) = v**l - 3*v - 1 - 2*v**2 + 2*v - 2*v. Determine -3*c(j) - 8*i(j).\nAnswer: 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 216003264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/5)\/(6\/150). Let c be (-2)\/5 - (-6)\/y. Solve j + c = 1, 3*x = 2*j - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936*s - 3 = 3*k + 933*s, -3*k = 2*s + 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6435 and 7859995.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-147)\/(-28) + -5 + (-12791997)\/(-12). Round h to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -10. Suppose -2*s + 4*l + o = 0, -4*s + 5 = -2*s - 3*l. Which is greater: s or -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -318312 divided by -2?\nAnswer: 159156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/25 and 101\/486?\nAnswer: 12150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.3 + -0.3. Let u be (14\/(-5))\/((-45)\/25). Let s = u + -116\/63. What is the second biggest value in 1, s, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/23))\/(u\/((u**(7\/5)\/u)\/u)) assuming u is positive.\nAnswer: u**(-59\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 13*x = -1967. Find the first derivative of -x*z**2 + 0 + 400*z**2 - 20 + 1 wrt z.\nAnswer: 238*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31176.35g in micrograms?\nAnswer: 31176350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/10)\/(16\/640). Let j = -13 - g. Let b(u) = 8*u**2 + 3*u - 1. Let s be b(j). What is the highest common divisor of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x = 43 + 72 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, and 2 c when four letters picked without replacement from {u: 4, i: 1, k: 11, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 2*s**2 + 9*s - 9. Let f(i) = i**3 - i**2 + 10*i - 9. Let a(v) = 5*f(v) - 6*n(v). List the prime factors of a(5).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1659 divide 208362105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1770970.7\nAnswer: 1770970.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47.4 - 50.39. Let d = 2.85 + b. What is the closest to d in 0, 4\/5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8971.\nAnswer: 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q. Let m(v) = v**2 - 6*v + 59. Calculate h(m(s)).\nAnswer: -12*s**2 + 72*s - 708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssmssmmqmsssems. What is prob of sequence me?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 67 - 60 + 17*q + 2*q + 125.\nAnswer: 15*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.06 + -0.06. Let x = -0.607 + 2.607. Which is the nearest to -1\/3? (a) x (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 419 in descending order.\nAnswer: 419, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/81 and -79\/216?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-275)\/495*(-1)\/((-6)\/27). Which is the nearest to 0? (a) -28\/11 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754586?\nAnswer: 2, 7, 53899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/9 + 4\/(-18). Let j(g) = 12*g**2 - 6*g - 5. Let q be j(-1). Suppose -22 = q*p - 217. Solve p = -s + x*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111025542 + 3?\nAnswer: -111025535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 201 and 158965804183.\nAnswer: 158965804384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9234*b - b**3 - 9234*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**4\/4 - u**3\/3 - u**2\/2 + 4*u - 3. Let m be z(0). Suppose m*v - 23 = 1. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1430, -1417, -1404?\n\"Answer: 13*s - 1443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, h: 3}. Give prob of sequence dhhh.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5*r + 8. Suppose -2 - 10 = -r*v. Solve k + 6 = -v*z + 2*k, 4*k = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 193\/3*n**2 - 1\/3*n**3 - 9215\/3*n - 9409\/3 = 0. Calculate n.\nAnswer: -1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 382 + 369 = 88*k + 47. What is the highest common factor of 97 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 67972 (b) -2 (c) -1\/6 (d) 4 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 897342279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 10 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**2. Let b(v) be the third derivative of v**4\/12 + 2*v**3\/3 - 179*v**2. Calculate b(m(k)).\nAnswer: 12*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 - -11)\/(2\/10). What is the greatest common factor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.4. Let x = 0.5 - 1. What is the closest to -0.1 in q, x, 1\/12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -12 + 3 + 4 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98\/71 - 12175\/284. Let s = p + 44. Which is the third smallest value? (a) s (b) -1.8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59375016 and 34688.\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2. Let w(g) = -26*g + 59 - g**2 + 57 - 116 + 0*g**2. Calculate k(w(z)).\nAnswer: z**4 + 52*z**3 + 676*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/1)\/((-1)\/(-5)). Let q = 7 - t. Find the third derivative of 4*n**q - 4*n**2 - n**2 - 2*n**2 + 2*n**3 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(448) - (1 + sqrt(448))*6 - (sqrt(448)*2*-3 - sqrt(448) - -2*sqrt(448)*-5))**2 + -2.\nAnswer: -1280*sqrt(7) + 44862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -4e01?\nAnswer: -4e06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d - 7670 = 13852. List the prime factors of d.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 1. Let u(p) = p - 5. Let s be u(9). Suppose -1 - 19 = -s*b. Solve b*o + 12 + j = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -10. Let v(q) = -q - q + o*q. Let l(t) = -5*t. Calculate v(l(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11 = 3*r - 4*r, -4*r = -2*y + 22. Put -4, 5, y, -5 in increasing order.\nAnswer: -5, -4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -251 + 755 - m - 20*m**2 - 256 - 258 to y + w*m + n*m**2 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 - 5621 + 2829 + 2827 in the form t*v**2 + w + z*v and give w.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10428 and 302649.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437934739?\nAnswer: 11, 17, 2341897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -33 - (2 + 6) - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18587494 + -3?\nAnswer: -18587497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = -0. Let u be (-2)\/(-3)*l*-6. Let -6*i**2 - 4 - 9*i - u*i + 3*i = 0. What is i?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -566*b**2. Let f(n) = -20413*n**2. Give j(f(c)).\nAnswer: -235846862054*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11405.2 rounded to the nearest one hundred?\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000664 rounded to six decimal places?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y - 3*o + 191, 3*y = 5*o - 577. Let f be ((-12)\/(-5))\/((-81)\/(-9720)). Let q = y + f. List the prime factors of q.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6504301 - 0.1\nAnswer: -6504301.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2027165 to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 26*c + 33 = -21. Solve 3*u - c = 3*s, 0 = -3*s - 2*u - 3*u + 50 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, o: 6, c: 4}. Give prob of sequence vovo.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 6, -2, -12?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((-6336)\/(-495) - (-20)\/(-25))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1853931 and 4965.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + w = -288, 2*j + 3*w - 1416 = -3*j. Suppose -2*p = -5*p + j. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-157)\/314)\/((-4)\/(-8))*(43 + (2 - 5)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19947 is divided by 19926.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3026 + 4796. Calculate the highest common divisor of b and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.72 * 6\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**2 + 368*b - 2. Let y(c) = 10*c**2 - 739*c + 3. Give -5*p(z) - 2*y(z).\nAnswer: 5*z**2 - 362*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 - -115. Calculate the remainder when 106 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-64)\/(-10) - 6\/15. Let l be 3\/2*20\/f. Let s(x) be the second derivative of -x**4\/12 + 5*x**3\/6 - 3*x**2\/2 - 2*x. Determine s(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u - 47 - 56 + 119 to the form r + y*u and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from gwewewgpwc.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3. Let j(q) be the first derivative of -q**6\/360 - q**5\/120 + 13*q**4\/24 + 7*q**3 - 22. Let p(h) be the third derivative of j(h). Give p(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 71 + 27. Suppose -5*a = 3*l + s, 4*a + 11 + 9 = 0. What is the highest common divisor of 4 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**5\/60 + b**4\/4 - 2*b**3\/3 - 4*b**2. Let u be x(5). Let y = -1\/3 - 0. What is the closest to 0.1 in u, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2207068 to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 1, 5 in descending order.\nAnswer: 5, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732736951 plus 328?\nAnswer: 1732737279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14191397659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 49878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 1. Let h(q) = q - 26. Calculate -h(f) + 4*t(f).\nAnswer: -5*f + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4*c - 18 = 2*x, -3*c = 5*x - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7282122.\nAnswer: 2, 3, 23, 52769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -30?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14 + (-5 - -107 - 14). Solve v*c - 80*c = 36 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2259, 2258, 2257, 2256, 2255, 2254?\nAnswer: 2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-6 - 8) - (1 + 1 + -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5532.8, 3, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -105\/714572 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2 - (2 - 8). Let x = -1 + v. Let p(a) = -a**3 + 6*a**2 + a + 3. List the prime factors of p(x).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 4*v**4\/3 - v**3\/2 - 44*v**2. Differentiate n(f) with respect to f.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1673 to the nearest 10.\nAnswer: -1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150589 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, -5, 4 in increasing order.\nAnswer: -11, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/9))\/f**(-2\/17)*(f**1\/f)**(-4\/39) assuming f is positive.\nAnswer: f**(137\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 636 + -211. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013285 rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.972125 to 1 dp.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.097 - -6.497. Which is the nearest to -2\/5? (a) s (b) 27 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + 23154.6.\nAnswer: 23199.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**5 - m**3 - 7*m**2 - m - 1. Let g(l) = -l**5 - l**3 - l - 1. Let q(r) = -g(r) + y(r). Find the third derivative of q(t) wrt t.\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 5\/14*p**4 - 6\/35*p**5 + 8\/21*p**3 - 50 - 4\/7*p**2 + 0*p. Find c such that y(c) = 0.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(2 + sqrt(11))**2 - (-1*sqrt(11) + -1)**2).\nAnswer: -60 - 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -263332\/5 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 214342 (base 8) to base 3\nAnswer: 10122122012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -4, 0.3, 1.7 in increasing order.\nAnswer: -4, -1\/5, 0.3, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3. Let z(i) be the second derivative of -2*i**5\/5 + i**4\/12 + i**3\/6 + i. Give z(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 419 + -289. What is the greatest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 436 and 368.\nAnswer: 40112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 3, 64, 3\/7?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/(-10) + (-36)\/60. Let a be ((-6)\/8)\/((-2)\/(-8)). Let b be 13*(1 + -1 - a). Solve h*x - b = -14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m - 138*m + 49*m + 42*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3 - (2 + -2 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16606 + 5786 = 3*c. List the prime factors of c.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-8)*(-8 + (640\/(-48))\/(-2)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-11.8.\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) + 3 + 235\/(-3). Which is greater: -74 or x?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 140?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -2) + (1 - -4). Let o be 6\/(-15)*(z - -2). Let w = -0.38 - -0.48. What is the third biggest value in -5, w, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 78045495*y + 156090970.\nAnswer: 5*(y + 2)*(y + 15609097)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1997 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4147020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 11848*t**3 - 161*t - 11847*t**3 - 115*t - 230*t in the form j*t**3 + q + w*t**2 + b*t and give b.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 39, 97, 189, 321, 499, 729, 1017?\nAnswer: 1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 (base 15) in base 7?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -604, -830, -1056, -1282, -1508?\n\"Answer: -226*j - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 6*z + 14. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323843 is divided by 3368.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61442, -245782, -553016, -983144, -1536166, -2212082, -3010892?\n\"Answer: -61447*q**2 + q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 208*t - 6548. Determine p(40).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**3 - 1. Let t(d) = d**2 - 6*d - 1. Let j be t(8). Suppose 2*v - j = -v. Suppose -v*c - 21 = -4*b, -5*c + 4 = 3*b + 32. Calculate m(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -447 + -3?\nAnswer: -44a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n*t**2 - 808*n + 1121*t**2 wrt t.\nAnswer: -4*n*t + 2242*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27062822887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1993 (base 14) in base 9?\nAnswer: -6322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/5 + (0 - 1). Let t = 5479\/22 - 497\/2. Let y = -8\/55 + t. Is y equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226526007.\nAnswer: 3, 83, 909743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.1951m in kilometers?\nAnswer: 0.5921951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 266493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1226739 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i\/((i*i**9)\/i))\/i*i)*i**(-9))\/(i*i**3)**(-17) assuming i is positive.\nAnswer: i**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -31*t**3 + t**2 - 3*t - 4. What are the prime factors of g(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89837799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 254 = -34*m + 35*m, m = 2*x + 251. Calculate the greatest common factor of 184 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 15 = 4*d, 1 + 2 = d. Let r be -2 + (3 - -2*w). Let g(m) = -m - 2. Let b be g(-3). Put b, r, 0 in increasing order.\nAnswer: 0, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 3073*t + 80530. Calculate l(26).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -3474735.\nAnswer: -3474737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -155, -203, -251, -299?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 1375*s - 1376*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 237 + -239. Let i(w) = 94*w**2 - 5*w - 2. Let u(s) = -189*s**2 + 10*s + 4. Let o(g) = p*u(g) - 5*i(g). Find the second derivative of o(c) wrt c.\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(96) - sqrt(896)*-2)\/((sqrt(1008) - -2*sqrt(1008)*-2) + sqrt(1008)).\nAnswer: -65*sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 770626 + 770626.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 22. Calculate the greatest common divisor of i and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*p + 488 = 0, 5*d - 2*p - 607 = -4*p. What is the remainder when d is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26956 (b) 0.4 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, 26, 31, 36, 41?\n\"Answer: 5*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 6500 = 10*l. Suppose 4*o = -60 + l. What is the remainder when o is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8958 - -8958.14155. What is k rounded to 3 dps?\nAnswer: 0.142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 19 - (2 - 1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/5 of a decade?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11353 = 105*k - 42433. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 812 and 0.3.\nAnswer: 243.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 11*k**3 - 20*k**2 - 99*k - 120. Let m(u) = -24*u**3 + 40*u**2 + 199*u + 239. Let n(j) = 6*m(j) + 13*s(j). Let n(w) = 0. Calculate w.\nAnswer: -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7936 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6 * -42.2.\nAnswer: -109.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24156419 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1082*j - 480*j - 1571*j + 58880 = -189*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + s - s)*(-2 + 5 - 1) - 22*s**2 - 7*s**2 + 6*s**2.\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iks when three letters picked without replacement from ecshkischekescs?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + q**2 - 2*q**2)*(3 - 4 + 2) + 81*q**2 - 247*q + 247*q.\nAnswer: 83*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 275 - 285\/2*z + 5\/2*z**2.\nAnswer: 5*(z - 55)*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*g + 289 + 131 = -466*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 454924908265 - 0.2\nAnswer: 454924908264.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.96 + -0.04. Let o = 12 + y. Let d = o - 4. What is the second biggest value in 0, d, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -4, -1 in descending order.\nAnswer: -1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 v, and 1 a when three letters picked without replacement from {v: 1, e: 1, k: 1, u: 3, a: 2, m: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzszzzs. What is prob of picking 3 z?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2856 and -97\/188224.\nAnswer: 3952704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z - 29 = -4*l, 0 = -l - 4*z - 19. What is the smallest common multiple of 14 and (1 + 1)*4*l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/43 in 1\/2, 0.12, 150, -3, 3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 24. What is the remainder when (3 - 39\/15)\/(4\/220) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1828*n - 1850*n + 3708*n.\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 6 + 2074*y - 30 + 10)*(3*y**2 + y**2 - 2*y**2).\nAnswer: 4148*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6995*n**2 - 39*n - 41. Does 189 divide z(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + 2*v**5 + v**5 - 23*v**5 - 283559*v**2 + 283559*v**2 + (-v - 1 + 1)*(v**4 + 2*v**2 - 2*v**2) - 3*v**5 - 3*v**5 + 5*v**5 + 3 - 3 + v**5.\nAnswer: -23*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - i - 1. Let p(k) = 18*k**2 - 27*k - 27. Let q(v) = 2*p(v) - 54*r(v). Let x(w) be the first derivative of 5*w**2\/2 + 290. What is q(x(y))?\nAnswer: -450*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9256 by -65.\nAnswer: 712\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 9*n**2 - 54*n + 30. Determine k(-6).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**4\/6 - g**3\/6 + 2*g. Let m be j(-1). Let u be (-1 + (-2)\/2)\/m. Solve -f - 1 = b, -f - b = 3*b - u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -458 - 471 + 929 + 245*m - 4361*m. Let u(f) = 2*f. What is u(b(t))?\nAnswer: -8232*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63527201?\nAnswer: 389, 163309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36005 is divided by 8923?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 392822981 to the power of 1\/3, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*t - 15 = 15, -u = t + 2. Let p be 1\/5*3 - -1. Is p less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/4 - 2*t**3\/3 - t - 29. Let d be j(-2). Let w(q) = -6*q**3 + 3*q**2 + q. Let s be w(d). Solve -l - l + s = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18226765181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h = 2*c - 32, 5*h - 6*c + 41 = -39 + 69 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7179, 1\/2, -4, -121 in decreasing order.\nAnswer: 1\/2, -4, -121, -7179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/144)\/((-16)\/320)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/5)*o**(2\/9)*(o**(-1\/11)\/o)\/(o**(5\/3)*o) assuming o is positive.\nAnswer: o**(-1552\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/16)\/(66\/(-924)*(12\/(-15))\/(-2)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - p - 5, 0 = 3*v + 2*v + 3*p + 11. What is the nearest to v in -2\/3, -5, -0.2, 4\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = 0. Suppose 3 - 3 = -10*o. Solve l = -n, 1 = -o*q - q + 5*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.238 + -5.238. Which is bigger: a or 1295?\nAnswer: 1295","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 7*d - 8. Determine j(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k**3 - 11*k**3 - 21*k**2 - 153*k**3.\nAnswer: -146*k**3 - 21*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1317.6 + -1185. Let v = a - 17.3. Let u = v - 108. Round u to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 18*u - 15. Let o be q(-16). Let j(w) = w**3 - 13*w**2 - 58*w - 11. List the prime factors of j(o).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.14 and 0.1.\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127004 is divided by 1809.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a - 158. Let s be j(25). Solve -s*t + 13*t = 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/18 + (-525)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10806760 or -10806776?\nAnswer: -10806760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 135682402 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t - 45 + 288 = 0. Calculate the highest common divisor of 2412 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 182 - 181. Let x(u) = -u**2 - 2*u + 2. Calculate x(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 5:40 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + d)*((0*d + 3*d - d)*(0 - 3 + 2) - 2*d + 2*d - 4*d)*(-2*d**2 + 0*d + 0*d) to the form i*d**2 + o*d**4 + j*d**3 + y + z*d and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2550 + -434?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -4. Let j be 0\/(r\/((-3)\/3)). Suppose -c + 5*b = j, -4*b + 2*b = 2*c - 24. Solve -o = -6*o - c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -152 - -143. Which is the nearest to -3\/2? (a) i (b) 2\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**3 - u**2 + 1. Let f be h(1). Solve 6*n - 4 = f*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3684 - 2493. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -24a0 (base 12) to base 4.\nAnswer: -1000320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -30)*(-20)\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*o + 286 = -274 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/8 - -2*1. Suppose 0*v = -4*l - 2*v - 4, -5*l = -4*v - o. Are -5\/6 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1481245*0.02\nAnswer: 29624.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 1\/57 (c) -0.78 (d) 0.1 (e) 15 (f) 2 (g) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22033100303 - -1?\nAnswer: -22033100302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - a + 67 = 3*z, 5*a + 1 = -z. Suppose -24*i = -22*i - 206. Suppose -5*k + 32 = -i. Calculate the remainder when k is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26477407 is divided by 181.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/7 of a week in minutes?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = r - l, 77*r + 3808 = 4*l - 2*l - l + 3642 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -524095357*k**3 + 3*k**2 + 85752*k - 62.\nAnswer: -3144572142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17\/(-136) - (-3702)\/48. Let z(p) = -p**2 + 19*p + 58. Let q be z(18). Which is smaller: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/11 and 6\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 17*d - 3. Let h(y) = -y**2 - 858*y. What is h(j(t))?\nAnswer: -289*t**2 - 14484*t + 2565","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 8:11 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yzjjjzyzjzzzyz?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*l - 4*l + 2*l + (3 - 3 - 2*l)*(-1 - 4 - 1) + 2*l - 3*l + 3*l)*(0 + 3 - 5) in the form y*l + h and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(15\/4))\/(5612\/(-1098)).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4 - 242*q**3 + 10915*q**2 + 22806*q = 0. What is q?\nAnswer: -2, 0, 63, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 500*a**3*u**2 + 1054*a**3*u - a wrt u?\nAnswer: 1000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(209) - 3*sqrt(209))*4*2)\/((sqrt(99)*-2*-5)\/(sqrt(18)\/(sqrt(18) + sqrt(2)) - sqrt(9))).\nAnswer: -24*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2412 or 2411?\nAnswer: 2411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 13*c**2 + 2*c + 28. Let x be l(-13). What is the second derivative of -2*m**4 - 14*m + 7*m**4 + 0*m**4 - x*m**4 wrt m?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + ((4 + sqrt(192) + sqrt(192))**2 - sqrt(75)*-2)).\nAnswer: -3128 - 552*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -2, 3\/5, 5, -20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - x)*(1 + 0 - 3) - 3016 + 1010 + 1005 + 1000 + 1144*x as s + m*x and give m.\nAnswer: 1146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 822502 = 125*p - 1550498. What is the thousands digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000336 rounded to 6 decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**2 - 2*h**2 - 3*h**2 - 67*h**2 + 35*h**2 + 35*h**2 + 2 - 4*h + 4*h + 2*h**2 + (1 - h - 1)*(3*h + h - 6*h).\nAnswer: 6*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*c - 44415, 1761*c + 133157 = 3*s + 1763*c. What are the prime factors of s?\nAnswer: 3, 14797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41173733639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2723 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17 and -193.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - l)*(4 - 3 + 1) + (-3 + 2 + 4)*(-4*l + l + 2*l) - 93*l + 10 - 25 + 16 as y + p*l and give p.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {r: 1, z: 2, d: 2, n: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/19)\/g**(-1\/6))\/(g*g\/(g\/(g\/(g**1*g)))*g)**49)**24)**(-46) assuming g is positive.\nAnswer: g**(1026536\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 780, 1791, 3468, 5805, 8796, 12435?\n\"Answer: -g**3 + 339*g**2 + g + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**3 + 3. Let i(o) = -30*o**3 + 16. Let v(d) = -2*i(d) + 11*p(d). Find the first derivative of v(s) wrt s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -1.468264.\nAnswer: 0.1468264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 70*p. Let r(j) = -5*j. Give x(r(v)).\nAnswer: -50*v**2 + 350*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 1345*g**2 - 55330*g + 56680.\nAnswer: -5*(g - 1)*(g + 52)*(g + 218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.2 + -13.19. Let g = 1.99 + l. Which is the nearest to g? (a) -4 (b) -0.5 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -21. Let k be 10*2\/(-28) + 1. What is the nearest to k in -2, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2817155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 26. Suppose -4*i = -t*i + 35. Determine s so that -11*s**3 - 5*s**4 + s**3 - 10*s**2 - i*s**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 4*z**4)*(-6*z + 5*z - 6*z).\nAnswer: 28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.735719 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70733 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/131 and 61\/5?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 19*n + 50 = 0. Let i be (-51)\/(-18) + (-5)\/n. Let -6*z**4 + 14\/3*z**5 + 0 + 6*z**2 - 4\/3*z - i*z**3 = 0. What is z?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5461726 and 642556.\nAnswer: 10923452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b + 82. Find the common denominator of 89\/54 and -3 - 1 - b\/(-20).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152374044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 12:01 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20128*m + 3 + 37499*m - 3.\nAnswer: 57627*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.0002.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from rvvvrvvvvvvv.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -34*(-64)\/(-4)*89\/9968\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60 in 2\/7, 0.03, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 2*k - 34, -4*k + 61358 - 61370 = -4*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9261420 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 - 97 + 6*d**3 - 19*d**3 + 23*d**3.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(32*t**4 + 25*t**4 - 58*t**4) + 6*t**4 - 2*t**4 - t**4 - 8*t**4 - 38*t + 38*t.\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2439, 2463, 2475, 2469, 2439, 2379?\n\"Answer: -u**3 + 31*u + 2409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 47 + 37. Suppose -18*v = h*v - 2418. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165*h**2*o + 18*h*o wrt h.\nAnswer: -330*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 10 + -5)\/2. Solve -5*h = 3*m + 21, -3 = w*m + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 0 + a**2 - 4 - 40*a**3 + 3. Let x be h(-1). Suppose 0 = -n - 4 + 1, 5*t = -5*n - x. Sort t, 1, 0.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i - i + 1 - 5*i. Let d be r(-1). Suppose d*y - 5*y = 35. What is the least common multiple of y and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (850\/255)\/(5\/(10\/(-4))).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2904 is divided by 2888?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -8. Let s(n) = n. Let v be s(-4). Let c = -2 - v. Sort 0, f, c.\nAnswer: f, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/21142 and -11\/124.\nAnswer: 42284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -2\/7, 10, -2\/3, 2\/21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Suppose -u = -4*q + 7. Suppose -25 - 6 = -g + 3*y, q*g - 3*y = 63. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*t**3 + t**4 - 2*t**2 + 4*t**2 - 524 - 2*t**2 + 526 to the form b*t**3 + f*t**4 + z*t + y*t**2 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*o - 15 = -o, 2*o = 5*r + 21. Let m = -32 - -47. Let i = m - 17. Which is bigger: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-18 - -21 - (0 - -6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1011866 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1627, -1\/9, -5 in ascending order.\nAnswer: -5, -0.1627, -1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -11348 - 2*w + 11348. Let u(f) be the second derivative of 5\/2*f**3 + 0 + 0*f**2 + 2*f. Determine u(l(t)).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 13288881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 820046 and 75650?\nAnswer: 20501150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**3 - 1148*k**2 + 82940*k - 81796 = 0.\nAnswer: 1, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 + 31.192926595\nAnswer: 31.352926595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9786066*m. Let b(x) = -3*x. Determine i(b(g)).\nAnswer: 29358198*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1))**(-26))**(-27)\/((j*j*j\/(j*j**1*j)*j)**(-6\/13)\/(j**(1\/5)\/j**4)) assuming j is positive.\nAnswer: j**(-217\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3037 or 3038?\nAnswer: 3037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/12 + q**3\/6 + q**2\/2 + 186*q + 1. Let a(c) = -9*c**3 + 6*c**2 - 6*c - 6. Determine a(f) + 6*k(f).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s + s**4 + 2*s**2 - 2*s**3 + s**3 + 2 - 2 in the form n + z*s**3 + g*s**2 + i*s**4 + f*s and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177168 is divided by 342.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*j - 7 + 35 = 0, h - j = -1. Suppose 15 = 7*n - h*n, 5*n - 241 = -y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239, -241, -245, -251?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, m: 5}. Give prob of sequence qmmq.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppppjjppppppjp. What is prob of sequence pj?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -404, -3, -1\/7, 2, -2\/123 in descending order.\nAnswer: 2, 0, -2\/123, -1\/7, -3, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 46853714535009?\nAnswer: -46853714535013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 19. Let a be -9 - ((-35)\/5 - -3). Does 14 divide 2\/2 - (q + a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:47 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -123. What is the greatest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*j - 3, 0 = -3*t - 3*j + 1 - 7. Let l(c) = -10*c**3 - c - 2. Let w be l(t). Which is smaller: 10 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 4*y**2 + 5*y - 6. Give v(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -13*b. Let a(u) = u - 5. Let z(c) = 1. Let s(w) = 4*a(w) + 20*z(w). Let r(f) = -f. Let l(d) = 14*r(d) + 4*s(d). Calculate v(l(n)).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5)*f)**6)**(-2\/63)\/(f**(1\/6)*f\/(f**(2\/5)*f))**(-3\/2) assuming f is positive.\nAnswer: f**(-37\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 164258 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 39. Let k(b) be the first derivative of h*b + 0*b**3 + 2\/5*b**5 + 2 + 0*b**4 + b**2. Find the second derivative of k(f) wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b**2 + 24*b**2 + 17*b**2 - 64*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g + 327. Let a be j(-27). Calculate the greatest common divisor of a and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7221.67 - -7269. Let l = -47 + m. What is l rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.2 (b) 1\/3 (c) -79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52680 at least 52681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68968 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*1085\/(-56) + (-2)\/(-8). What is the least common multiple of (1\/(-3))\/((-1)\/g) and 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5 + 5 + 2 + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 12:22 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 10*t**2 - 26*t + 15. What are the prime factors of j(-12)?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 125330*x - 74471565.\nAnswer: -5*(x - 24457)*(x - 609)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - 0.45. Let i be 1520\/7980 - (2\/(-14) - 0). What is the second biggest value in 0.4, i, f, 0.08?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -1)\/(4\/404)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1389*t = -28920 - 48183 - 47907 for t.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 8. Suppose 9 = t + x. Suppose 2*r + 5*p = 127 + 56, -t*r = -3*p - 222. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3160\/(-35) + (-4)\/(-14). Let w be (-6)\/l + 2\/6. Factor -2\/5 - w*n**2 - 4\/5*n.\nAnswer: -2*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8965604, 17931218, 26896832?\nAnswer: 35862446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*d**4 + 12*d**4 - 9*d**4)*(-3 - 1 + 2) - 224*d**2 - 4*d**4 - 6*d**4 + 224*d**2.\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13463536 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3650755550 a multiple of 6110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3993*b - 403411. Determine c(-101).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 2:08 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 7\/2*y**2 + 9 + 2*y. What is the derivative of m(v) wrt v?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.6 (b) -0.2 (c) -2\/3 (d) 2 (e) 16 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2596?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 48 = 5*m. Let p be (1 - 1) + (-4 - m). Is (39\/p)\/(19\/38) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -232?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 5*j**2 + 5*j**2 - 3*j**2 - 35480 - 18305.\nAnswer: -4*j**2 - 53785","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-539) + 16126\/1078?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 9.3, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020\/(-9)*(-60 + -6) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/6)\/(9\/7578594) - (-24)\/36 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**3 - 4*z**2 + 16*z + 12. Let g(c) = -6*c**3 + 5*c**2 - 20*c - 15. Let v(f) = -4*g(f) - 5*x(f). Let j(y) = -y**3 - y + 4. Give j(a) + 3*v(a).\nAnswer: -4*a**3 - a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1261 + 72938.\nAnswer: 74199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.311.\nAnswer: -0.1555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1370*z + 718428 = 1439*z. Is z a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54 + 10*t**2 + 89 + 2*t - 11*t**2 + 40*t**4 wrt t.\nAnswer: 480*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82553041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -85, -242, -515, -904?\n\"Answer: -58*y**2 + 17*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/3 - (-4 + 6 + -4). Put 2, f, 8 in decreasing order.\nAnswer: 8, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*o + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:06 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -15881*k + 1. Let u(t) = 4*t**2. Calculate u(j(b)).\nAnswer: 1008824644*b**2 - 127048*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36925012 minus -5?\nAnswer: 36925017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2500, 5271, 8042, 10813, 13584, 16355?\n\"Answer: 2771*p - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 5 + ((sqrt(891) - (sqrt(891) + 0)) + sqrt(891) - sqrt(891)))*-2)**2.\nAnswer: 360*sqrt(11) + 3664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/6)*r)**(-3)\/(((r\/(r**(5\/6)\/r)*r)\/r)\/(r\/(r\/r**9)*r)) assuming r is positive.\nAnswer: r**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3176*c + 1196*c + 3960*c + 1 - 15849*c as b + q*c and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 42133*m = -42136*m + 45, -5*r - 72 = -2*m - 14 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 + -29 + 14)*-2. Factor 4\/9*p**4 + 11\/9*p**3 - 1\/3*p**k + 0 + 0*p.\nAnswer: p**2*(p + 3)*(4*p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-2 + -3)\/(-1). Suppose v*o - 5*l = -2*l + 2808, 3*l = -3. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 9 = 4*l, 11 = w + w - l. Suppose -3*m + w*g + 6 = -73, 28 = m - 2*g. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 2\/5*a**5 + 0*a**4 + 0*a + 5 + 0*a**2 - 4\/3*a**3. Find the third derivative of l(y) wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*h - 514 + 104, -5*u + 1025 = 5*h. Suppose -5*j = 5*i - 70, -5*j - 12 = -2*j. Let a = u - i. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1352374*q + 146. Let w be m(-21). What is w rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 190.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1304 + 296 - 880)*(j + 0*j + 10 + 0*j).\nAnswer: 720*j + 7200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*a**3*h**2 + 7507*a**3*h*t**2 - 8*a**2*h*t**2 + 119*a*h**2 - 2*a*t - 36*t**2 wrt a.\nAnswer: 438*h**2 + 45042*h*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 47. Which is bigger: j or -21?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4db - -3?\nAnswer: -4d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/3 in 0.3, -3\/1015, -0.06?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25052969?\nAnswer: 83, 301843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - 47. Suppose 0 = 3*x - 5 - 4. Suppose -4*j + 105 = -4*n + 33, -x*n = -5*j + 100. What is the remainder when j is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 1, z: 2, r: 4, t: 1}. Give prob of sequence tj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a hour in minutes?\nAnswer: 804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 863524 (base 11) to base 3\nAnswer: 2121011012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s = -49*s - 11670100. Round s to the nearest ten thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l - 2. Let h be d(-1). Let a be 2\/7 + (-19)\/(-7). Put -5, a, h in decreasing order.\nAnswer: a, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 2*x - 2. Let j(w) = -3*w**2 - 3*w + 1. Determine 2*j(h) + 3*t(h).\nAnswer: 3*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 2:28 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -951215 greater than -951213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 15. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 6*f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-784)\/(-2912)*((-4)\/(-7))\/1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(-40)*h)\/h)**(-6\/31)*h**39*h*h*h**(-13) assuming h is positive.\nAnswer: h**(1102\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 3*m**6\/40 + 3*m**5\/20 - 8*m**2. What is the third derivative of t(w) wrt w?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 4) + -71 + (4 - -13) + -13 + -2\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 43 + 65. What is the highest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -4. Let s = a + 27. Let f = 4205\/8 + -527. Is f <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 5*h + 2. Let q be v(-4). Let a = -5 - q. Solve -4*o + 4*u = -16, 0 = o - a*u - 16 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3 = 3*h, -3*h = -2*q + 5. Let w(v) = 5*v**2 - v - 18. Let p(r) = -2*r**2 + r + 4. Let t(n) = q*p(n) + w(n). Let i(u) = 5*u**2. Determine t(i(o)).\nAnswer: 75*o**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**3 - 3*z**2 + 7*z - 5. Determine j(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sskzidikkskd. What is prob of picking 2 d and 2 k?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 16*w - 689. Let i be x(51). Which is smaller: -0.2 or i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14046 + -743?\nAnswer: 13303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9745008 and 81480.\nAnswer: 48725040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741 is divided by 45.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**4\/8 - m**3\/3 - 15*m**2. What is the remainder when o(6) is divided by -1 + ((-11)\/(-1) - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131702 > -131700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpvptvvpvpj. What is prob of sequence tpj?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*a - 2*f, -4*a - 3 = -8*a + 3*f. Suppose -3*q = 6 + a. Let i(g) = 2*g + 7. Let b be i(q). Solve -2*s - b = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 5\/(-10)*(2 + -145 + 3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3607453 to the power of 1\/2, to the nearest integer?\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1. Let l(b) = 2*b + 1. Let a(i) = i - 1. Let f(t) = a(t) - l(t). Let c be 2*(-1)\/(-2)*4. Let d be -9 + 11 - (-1 - -2). Give c*j(s) + d*f(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 119*g - 16. Let n be j(60). What is the greatest common divisor of 2101 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -1\/18576?\nAnswer: -1\/18576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 61\/4 of a milligram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383*y - 12*y = 11130. Solve 5*b = 15, 5*w - 1 = -y*b + 28*b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648 divided by -216.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1158 - 56\/(-8)) + (-7 - 3). Solve l = 9*o + 1146 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1681 (base 15) to base 6.\nAnswer: 34234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.848 rounded to one dp?\nAnswer: -48.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.9 - -4.865. Let u = -0.065 + j. Let c be (1 - 5\/6)*4. What is the nearest to u in -0.3, c, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1224904862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 + -79. Solve -s*j - 9 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 433217930 + 0.07.\nAnswer: 433217930.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -443960675*m - 285804680 wrt m.\nAnswer: -443960675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -14. What is the biggest value in u, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5677, 11403, 17127, 22849, 28569, 34287, 40003?\nAnswer: 45717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 171*w**4 - 504*w**4 + 23*w + 259*w**4 wrt w.\nAnswer: -888*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 23) + (-1 + 0 - 9) + -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, r: 1, j: 2}. Give prob of picking 1 i and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3778 - 6*b**2 + 3779 - 7548 + 4*b**2.\nAnswer: -2*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -26.9. Let b = f + -1.099955. What is b rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2484*j + 1020. Let i(r) = r. What is s(i(z))?\nAnswer: 2484*z + 1020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -25*b + 29\/12*b**4 - 15\/14*b**7 + 0*b**5 + 0*b**2 + 0*b**6 + 0*b**3 - 2. What is the third derivative of l(h) wrt h?\nAnswer: -2700*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 4\/9, 0, -0.17, 6, -117.\nAnswer: -117, -1\/2, -0.17, 0, 4\/9, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 374 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302751.\nAnswer: 3, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 9*w**3 + 121*w**2\/2 - 33*w. Let b(t) = -27*t - 61. Let q(p) = 13*b(p) + 6*r(p). Find the first derivative of q(d) wrt d.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/40 and 22\/455.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.57382kg in micrograms?\nAnswer: 8573820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 978 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1126.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-2 - -3 - 2). Calculate the remainder when -1*(j + 2) + 2 is divided by (-2)\/(-5)*-1*(-10)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*w - 5. Suppose 18 = w*c - 7. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + 3*t**2 - 3*t**2 - 3*t**2 to the form d*t + r*t**2 + y and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(2 - 3)*-1. Suppose 2*w = -5*y - w, 3*y - 5*w = 0. Let s be (-1 - 0)*y + f. Solve -b + 2*a - 9 = s, -3 = 2*b - b + a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**5 - p**3 - p - 1. Let g(l) = 26*l**5 - 32*l**4 - 16*l**3 + 36*l**2 - 18*l - 12. Let w(d) = -g(d) + 8*s(d). Solve w(r) = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 + 141 + -60 + (55 - -2) + -1\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35694 * -11961\nAnswer: 426935934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*10)\/(60104\/3344 + 12\/456)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - -4. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2 + 15 + -12. Suppose c*r = 4*r - 4*s + 71580, -4*s - 35820 = r. Round r to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 3628571530?\nAnswer: -3628571532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3230 - 3229. Let f = 0.7 + -1. What is the closest to f in j, -3, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2 - 2 + 4 - z**2 - 2*z. Let h be k(-3). Calculate the greatest common divisor of 2 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + k + 3 = 0, -4*q - 3 = -k - 6. Let c be 6\/(-8) - 1\/(-1). Let j = 297 + -294. What is the closest to c in 1\/3, q, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.04 - -0.04. Let i = -41.932 - 0.068. Let u = j - i. Is -1\/4 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1369*z = -468*z - 9010 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arqrqdvpp. What is prob of sequence dpap?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 584 and 11534.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 6*l - 8. Let m be p(6). Let x(u) = u**3 + 7*u**2 - 10*u - 11. What is the units digit of x(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/5 - (-1 - 12\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkk. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -5. Let c be 8\/(-92) - (-8736)\/(-2691). Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1479644 divided by -38938?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3 (b) 0.3 (c) -2\/7 (d) -1.5 (e) -2\/11 (f) -1\/5 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 2*j - 21 + 19 + 2*j**2 + 0*j**3. Is a(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277, 333, 171, -209?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 131435846 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: What is prob of sequence ssi when three letters picked without replacement from {n: 5, i: 1, s: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-253)*(-55)\/(-25).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/11 - 5946*r**3\/11 - 8791033*r**2\/11 + 12890928*r - 51702464 = 0. What is r?\nAnswer: -2981, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 4 = 2*i. Which is greater: i or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035763819 rounded to seven decimal places?\nAnswer: -0.0000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/2 + 716*z - 256328 = 0.\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 295 + -18310?\nAnswer: -18026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -14. Suppose -75 = -l*v + 15. Calculate the lowest common multiple of v and 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-27))\/(2\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 18 + 5 = 0. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 267769 and 1073?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 31, -5, 3 in descending order.\nAnswer: 31, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/6 + (-47)\/95. Let k = t - -731\/5510. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 76. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Suppose 0 = m - 2 - 1. Let o(h) = 3*h - m*h + 0*h - h. Determine o(k(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2)\/((-17)\/68). What is the tens digit of n + 2 + 4 + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 10. Let z be u(8). Let r(o) = 7*o**z - 16*o**2 + 8*o**2. Let m(c) = 6*c. Let f(n) = n. Let j(t) = 3*f(t) - m(t). What is j(r(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -363.\nAnswer: 1\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23957742 and 309810.\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 3 - 3 - 4*y + 6*y - 3*y + (-4 + 2 + 0)*(7*y - 81*y - 35*y).\nAnswer: 215*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12046\/55 + 1101\/5. Calculate the common denominator of j and -37\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/9793 - 2801\/9793. Let i = 2 - 0. What is the fourth biggest value in i, -0.03, 2\/11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 26*p - 1. Calculate d(-14).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11600364 - -3?\nAnswer: -11600361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5764\/18 + -4 + (-204)\/(-54). Let l = x + -310. Suppose -51 = -2*u + 3. What is the remainder when u is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262965.\nAnswer: 3, 5, 47, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2889701ml?\nAnswer: 0.0002889701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = -5*a, 2*a - 4*g + 12 = -0. Solve -4*f + 4 = -4*b, 2*b = 2*f - a*b + 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -25. Let w(z) = 3*z - 23. Let i be w(h). Solve 8*q - 3*q + 5*j + i = 0, -5*q - 3*j - 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j\/j**1)*j*j)*j)**(7\/3)*j\/j**(-1\/5)*j**6*((j*j*j\/j**5)\/j**(-2\/9))**18 assuming j is positive.\nAnswer: j**(-442\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8 + 33*w**2 - 4 - 8 - 4 - 7*w. Let o be t(-3). Round o to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + m)*(8 - 13 + 4)*(-5*m + 1 - 1).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Suppose 110 + 70 = -5*c - r, 115 = -a*c - 2*r. Round c to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-23 - -21)\/(1\/(-116)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30862074*w**4 - w + 9362920.\nAnswer: 370344888*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 e when four letters picked without replacement from {e: 4, a: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 47 = -2*u. Suppose -434 = -50*p + 216. Calculate the remainder when u is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -9*m + 2. Suppose -3*t + 26 = d - 97, m*t - 2*d = 82. Let z = t + -31. Solve -5*s + 15 = 5*y - z*y, s - 4*y - 9 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 262950.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 8450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-72))\/((-8)\/(-1824)*-9)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -2)*-4*1 - 0. Calculate the common denominator of 33\/(-440)*o\/6 + 4 and 71\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 988*u + 209. Let y(g) = -19*g - 4. What is 4*m(a) + 209*y(a)?\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 4116?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 4*h - 3*h)*(38*h - 16*h - 11*h)*(0 - 2 + 3).\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102 - -55) + -14 - ((-32)\/4 + 5)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -419384 - -79384. Round d 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 highest common divisor of 1803 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {y: 5, u: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o. Let d(a) = -33*a. Calculate 51*c(m) + 6*d(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2\/9 + 8*w - 152\/9 = 0.\nAnswer: -38, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2109*q**3 + 830*q**3 - 1116*q**3.\nAnswer: -2395*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 11*k - 19. Let l(p) = -p**3 + 5*p**2 + 13*p - 6. Let f be l(7). Does 2 divide t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/1 + (10\/5 - -47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4482a (base 12) in base 3?\nAnswer: -11121212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*m**5 - 5*m**4 - 2*m**3 + 1098*m**2.\nAnswer: -3060*m**2 - 120*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3239, 3247, 3269, 3311, 3379, 3479, 3617?\n\"Answer: u**3 + u**2 - 2*u + 3239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -91 times 42\nAnswer: -3822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18\/28*(-56)\/(-384)*4\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d - -1484dc1?\nAnswer: 1484da4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4541, -4589, -4637?\nAnswer: -4685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2. Let r(x) be the third derivative of 0*x**3 - 13*x**2 + 0*x + 0 - 1\/24*x**4. Calculate r(l(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/((x**4*x)\/x)*(x**(-1)*x)**(2\/55))\/((x\/(x*((((x\/(x*x\/(x**2*x)))\/x)\/x)\/x)\/x))**(-20))**(-47) assuming x is positive.\nAnswer: x**(-5650\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-120)\/182*3. Let q = f + 4\/13. Let 2\/7*z**2 + 4\/7*z + q = 0. Calculate z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/13 (b) 0.2 (c) 131 (d) 285 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + h + 7. Let g be u(0). Suppose -43 = -2*v - 3*m, 0 = 5*v - 3*m + 5*m - 80. What is the highest common divisor of v and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1333 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2. Let v(o) = o + 21. Let b be v(34). Let n(u) = 161*u**2 + b*u**2 - 47*u**2. Determine n(w(f)).\nAnswer: 676*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 551946445 to the power of 1\/4, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8409307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -111323003211?\nAnswer: 111323003123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*y**2 - 521*y**2 - 152*y**3 + 424*y**3 - 204*y**3 + 278*y**2.\nAnswer: 68*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -4*w, 2*w = 5*m + 3 - 16. Suppose -m*l - l - 4 = 0. Let v = -0.279 - 0.121. Which is smaller: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 205\/(-328)*1*(-1)\/5.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**5 + 4*t**5 - 3*t**5)*((1 - 1 + 1)*(-3 + 2 + 3) - 6808 - 5837 + 2808).\nAnswer: 19670*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 345 by 115.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 - 214 = 2*i. Let o be 1 - 14\/(-12) - (-28)\/i. Suppose 3*n - 11 = 1. Solve c - 12 = -o*h, 35 = 5*c + h + n*h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 5*g + 6. Let r = 609 - 606. Calculate the remainder when u(2) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (66 - 2) + ((-2)\/(-1))\/2. Let c = 243 - v. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**3 + 4*q**3 - 7*q**3 - 10*q + 17*q + 7 + 3 in the form o*q**3 + d + w*q**2 + v*q and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6260.564l to millilitres.\nAnswer: 6260564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -21*i + 68, 23 = 4*i + 4*q + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 5*q**2 + 25*q - 10. Give n(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 - 3*q + 2*q + q + 10*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6968.3 - -6968. Which is the closest to 1\/4? (a) 4 (b) k (c) -139 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21909534\/23 or -952589?\nAnswer: -21909534\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13888 = 3*d - p + 1294, 0 = -4*p - 12. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 953.598l?\nAnswer: 953598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w + 4*h + 343, -3*h + 329 = w. Suppose q - 2*k - 63 = -3*k, -5*q = -5*k - w. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k\/(k*k**(-15)))\/k))\/k)**(4\/17))**(-4\/29) assuming k is positive.\nAnswer: k**(224\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 46 = y. Suppose 60 = 3*j - 3*f, 4*j - 4*f - y = -3*f. Calculate the remainder when 36 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*v**5 - 123755536*v**4 + 154694236*v**3 + 162429013*v**2 + 44474615*v + 3867358 = 0 for v.\nAnswer: -1\/4, 2, 1933679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p - 15. Let j(i) = 18*i**2 - 4*i + 3. Let g be j(1). Let d be f(g). Suppose -3*c = x - d, -4*c = -8*c + 3*x + 238. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2213 divide 102747377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + 3*k - 2. Let q(o) = -o**2 + o - 1. What is 3*q(g) - y(g)?\nAnswer: -6*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**2 - 331353*i - 994086 = 0.\nAnswer: -3, 110454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5 - 18*q**4 - 75*q**3 + 222*q**2 + 972*q + 840.\nAnswer: 3*(q - 7)*(q - 5)*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*6\/18 - (-271)\/3. Let y be (12\/(-10))\/((-27)\/z) + -2. Solve -y*s + 1 = 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 1108, -130 in increasing order.\nAnswer: -130, 2, 5, 1108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 28, -1, -82, -233?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1. Let h(o) = o + 3. Let u(m) = h(m) + 4*j(m). Let t be u(0). Let i be (4 + -2)*t*2. Which is bigger: i or -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z + 116. Let t = 164 + -148. Let l be p(t). Solve 0 = 3*n - 5*q + 1 + 7, -4*n + l = q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10952870.\nAnswer: 2, 5, 1095287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 20*u**3 + 5*u**2 - 3*u + 3. Calculate t(4).\nAnswer: 1351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 3. Let g be f(-8). Let h be g*7\/(70\/(-4)). Suppose -h*k - 3*b + 1 = 2, -4*k + 3*b = -25. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 2*n**2 + 2*n - 2. Let b be f(-3). Let z = b + 1. Suppose z*v + 2*v + 145 = 5*l, -5 = v. Solve -6*q + l = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-10))\/(3\/(-15)). Let n = t - -2. Which is the closest to -0.1? (a) n (b) -3\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 59034078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -2099, -2, 1 in descending order.\nAnswer: 17, 1, -2, -2099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -2*x**5\/5 + 1009*x**4\/2 - 1902*x**2 - 100. Find the second derivative of t(v) wrt v.\nAnswer: -24*v**2 + 12108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*b + 1564 = 274, 0 = 4*i - 5*b + 1041. Let r(h) = 3*h**2 - 5*h + 4. Calculate the remainder when i\/(-9) - (-32)\/(-144) is divided by r(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -0.9, -1\/99, -5 in increasing order.\nAnswer: -5, -0.9, -1\/99, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 3. Let n(m) = m + 1. Let i = -454 - -456. Suppose 2*t + i = 0, -2*w - w = 4*t + 7. Calculate w*v(c) + 5*n(c).\nAnswer: 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 0*d + 2 + d**2 + 0*d**3 + 1\/3*d**6 + 0*d**5 + 0*d**4. What is the second derivative of w(y) wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*z**3 + 25*z**3 + 5*z**3.\nAnswer: -139*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*g = -83, h - 80 = -5*g - 6. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5697818627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v = -18*v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14411102 (base 5) in base 7?\nAnswer: -1210460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + 5 + -4.\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:49 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20 - -3 - (65 - 59)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**3 + 954*s**2 + 1078525*s?\nAnswer: 12*s + 1908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 - 6*r**4 + 8*r**4)*(-4 + 4 + r)*(-2 + 0 + 1).\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/5 + 86774808*f\/5 + 627488941953072\/5.\nAnswer: 3*(f + 14462468)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7140.396kg?\nAnswer: 7140396000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-221) - (-112)\/390)*(-50)\/3?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*c = -1896*c - 15859 + 67793 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 4. Suppose -3*p + y = 2*p. Let a(x) = x**2 - 70*x + 447. What is the remainder when a(7) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 53151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4431411, 17725647, 39882713, 70902615, 110785359?\nAnswer: 159530951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-50)\/8)\/((-9)\/(-12)))\/((-184)\/184)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45332 divided by -1139\nAnswer: -45332\/1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 282\/7 - 6\/21. Suppose -2*x = -0*x - t. Suppose -x + 8 = -g. Solve -3*p - g = -4*z, -p - z - 20 = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 94.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187736.\nAnswer: 2, 31, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 3. Let d be t(10). Let g be 4\/14 + 19\/d. Suppose g*k = 15, -2*k + 5*k = 3*y - 18. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 9) to base 10\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**4 + 9 - 12 + 5)*(-5 - 262 - 197).\nAnswer: -2320*n**4 - 928","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89504 divided by 35.\nAnswer: -89504\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 319845, -3, 1, 3.\nAnswer: -3, 1, 3, 319845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 850569358 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/17)\/(x**(-1\/2)\/x))**40 assuming x is positive.\nAnswer: x**(1060\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cff when three letters picked without replacement from lfzfclcwchzcczlcfzll?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*p + 8*p - 31*p - 17*p**2.\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 3 + 28, -4*i - 4*q + 56 = 0. Suppose 22 = i*k - 7*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*g + 9 = 0, -a = -2*a - 2*g - 1. What is the closest to 0.1 in a, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oww. What is prob of sequence ow?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, p: 18}. Give prob of sequence mp.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 1)\/((-49)\/(-10094)). Suppose 2*d + 76 = c. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*x + 554 = -248*x + 11174 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61 and 10736?\nAnswer: 10736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (20 + 6) - -19?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1207 is divided by 301.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937272?\nAnswer: 2, 3, 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 262624 = -12*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 428408704 and 2176?\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5219*r + 21. Calculate l(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q. Suppose -15 = -5*x, -3*g + 0*x = -x + 33. What is the units digit of k(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.078.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 - v**4 - v**4)*(-127*v + 16*v + 19*v) + 3*v**5 - v**5 - 6*v**5.\nAnswer: 272*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 28. Let l = v + -7. Solve -a + 0*a = -l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntonztfz. What is prob of sequence tno?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 114 * -0.098.\nAnswer: -11.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 2*d + 46, -4*b + 304133*d = 304136*d - 69 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.2 (c) 1.6 (d) 3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajaj. Give prob of sequence jjaa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**5 + 256740*f**4 - 513460*f**3 - 256740*f**2 + 513464*f = 0.\nAnswer: -1, 0, 1, 2, 64183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.2 in 43, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10)\/r**(-8)*r**(-21)*r\/(r**(-3\/2)\/r)*r)**(-4) assuming r is positive.\nAnswer: r**74","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 117819052*j + 1735166126772338.\nAnswer: 2*(j + 29454763)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2296*y + 14. Let d(q) = -1148*q - 8. Give 5*d(n) + 3*i(n).\nAnswer: 1148*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 22\/9*u - 22\/9*u**3 + 2*u**2 - 20\/9 + 2\/9*u**4 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118106696 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24342, -48668, -72994, -97320, -121646?\nAnswer: -145972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49.391526 - 376.612494. Let y = -1329 + 903. Let l = y - o. Round l to 4 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42448, -42301, -42154?\n\"Answer: 147*p - 42595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1705 + -1505. What is the least common multiple of y and 120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 10*v + 15*v. What is the second biggest value in v, -2\/17, -2\/3, -34?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {w: 11, q: 1, h: 1}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/60 and (-45195)\/276*(0 - 6\/675).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 8*m - 1. Let s(u) = u**2 + 39*u - 4. What is 5*d(l) + s(l)?\nAnswer: -4*l**2 - l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 3*k - 2. Let o(j) = 4*j**2 + 5*j + 2. Let x(z) = 2*o(z) + 5*v(z). Give x(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o**2 - 313*o + 1245 wrt o?\nAnswer: 4*o - 313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-840)\/(-16))\/(-15)*2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 4:30 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r - 1. Let k be q(1). Find the second derivative of 4*z**4 - 3*z**2 + 3*z**2 - z - k*z wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**3 - 72*q**2 - 429*q - 720 = 0.\nAnswer: -16, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -21*p**4 + 2913*p**3 + 15954*p**2 + 4320*p = 0.\nAnswer: -5, -2\/7, 0, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and (-32)\/(-8) + (2 - 1)*2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 7*h**2 - 4*h + 6. Let w = 8 - 0. Calculate the smallest common multiple of w and d(6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by -7.\nAnswer: 103\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 117347 at least as big as 115772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, k: 1, r: 4, o: 1}. What is prob of sequence sr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 4, -2, -22, -62, -128, -226, -362?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -1. Suppose j - o = -j. Let c(u) = 11*u**2 + u + 1. Calculate the smallest common multiple of c(-1) and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70.05 + 74.05. What is the second biggest value in -4\/43, k, 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718652?\nAnswer: 2, 11, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190 divided by 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628722832?\nAnswer: 2, 17, 373, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 10*u + 61. Let s(j) = -5*j**2 + 3*j - 9. Let o(w) = -w**2 + w. Give u*s(n) - 3*o(n).\nAnswer: -2*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1179*f**2 + 725*f - 5. Let g(t) = t**2 - 2*t + 1. Let k(o) = -5*g(o) - n(o). Find the second derivative of k(w) wrt w.\nAnswer: -2368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -230120302?\nAnswer: 230120311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -9 (c) -6\/191 (d) 0.1 (e) 1\/8 (f) 8\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wihi when four letters picked without replacement from {w: 7, h: 2, i: 3}.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 w when three letters picked without replacement from {w: 2, p: 18}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 10. Let w = 10 - 15. Suppose -46*j + 53*j + 28 = 0. Sort w, m, j in ascending order.\nAnswer: w, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267455415 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002 divided by -18?\nAnswer: 1001\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 773399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 - 2*m + 2*m**3 + 4*m**3 + 3*m**3 - 7 - m**2 in the form t*m**2 + y + k*m**3 + v*m and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 8:26 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -22*u + 2. Let w(m) = 45*m - 4. Calculate -3*w(t) - 7*y(t).\nAnswer: 19*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678806*r - 3834 = 678664*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8373951767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92040779\/890860 - -14\/133629. Let z = o + 413\/4. Put z, 3, 3\/2 in decreasing order.\nAnswer: 3, 3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-10)*320\/(-120)*4\/16.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/((-189)\/70)*-3. Suppose -3*l = h*b - 5*b - 103528, 34510 = l + b. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1199, -1203, -1209, -1217, -1227, -1239, -1253?\nAnswer: -1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/18)\/((-48)\/(-180))*(-26)\/(-1248). Let r be (-1)\/(-1) - 1\/2. Which is bigger: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-119)\/(-21) - (-3 - (-12 - -3))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**3 - 1816*h**2 + 7276*h - 7280 = 0?\nAnswer: -1820, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**3 + 15010875*z**2 = 0.\nAnswer: 0, 5003625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/4039 and 17\/32889.\nAnswer: 230223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 14*q - 90 = 0. What is the remainder when 253 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 13*c - 12. Let m(t) = -4*t**2 + 27*t - 23. Let s be -6 + (-20)\/(-3) - 14\/(-6). Let w(p) = s*m(p) - 7*q(p). Is 5 a factor of w(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 + v**3 - 2*v**3 + (0 + 2 + 0)*(-9*v**3 - 10*v**3 - 2*v**3).\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -663, -1328, -1995, -2664?\n\"Answer: -p**2 - 662*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3090 and 4219395.\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 bigger than -15.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 167 = -3*a, -v + 6*v = -4*a + 414. What is the remainder when v is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 6*q - 2. Let h be v(4). Let x = h + 11. Solve b = -0*b - x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66014822381914 + 0.3.\nAnswer: 66014822381914.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -52. What are the prime factors of (-23)\/((-6)\/(-12)*q\/18)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 7) to base 3.\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -11. Suppose 0 = -n*a + 3*k - 4*k + 36, -5*k + 26 = a. Suppose -6*r - 415 = -a*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1400 = f - q, -11*f + 14*f - 4230 = -3*q. List the prime factors of f.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*a + 70 = 198*a. Suppose 3*y + 2*y - 50 = 0. Calculate the highest common factor of y and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2. Let i(r) = r**2 - 11*r + 57. Calculate i(l(o)).\nAnswer: 4*o**4 - 22*o**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z**2 + 928*z + 735. Calculate q(-92).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*k - 1510, -7*k + 4*k + 5*x + 1486 = 0. List the prime factors of k.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/4)\/(1\/(-5)). Let v be 4\/(-20) - 11\/j. Let l(d) = 2*d - 1. What is the units digit of l(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-24)\/18 - -1)\/(7\/(-528759))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - 2. Let r(t) = -7 - t - 10*t + 4*t + 2. Calculate 5*g(k) - 2*r(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/2)\/(3\/(-6)). Let d be -4*b\/(12\/(-26)). Suppose i + 3*c - 4 = c, 3*c - 6 = i. Solve 5*s + 2*y + d = 0, -4*s + 3*s + 2*y + 2 = i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1850 (base 9) to base 2\nAnswer: -10110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - (30 - 66)) + 48 + 0 - 11?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o + 25. Calculate i(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b. Let z(k) = -16*k**2 + k. Give z(g(h)).\nAnswer: -144*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 5*k + 33 = 19*a, -3*a = -5*k + 37 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 8 - 7*n - 12 + 162*n**2 - 144*n**2 to t*n**2 + w + p*n and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 15*r**3 + 11*r**2 - 8*r + 248. Let g(x) = 5*x**3 + 4*x**2 - 3*x + 84. Determine 11*g(l) - 4*i(l).\nAnswer: -5*l**3 - l - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 2*v + 6*v - 3*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -11*j**2 + 7*j**4 + 12*j + 0*j**4 - 8 + 0*j**2 - 23*j - j**3. Let z(y) = 3*y**4 - 5*y**2 - 6*y - 4. Let c(u) = 2*x(u) - 5*z(u). Factor c(s).\nAnswer: -(s - 2)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -588732 by -147183.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 + 3 + 3 - -3. Let k(j) = 5*j + m + 5*j + 0. Let b(r) = -2*r. Calculate k(b(i)).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 12*i = -3*i - 348. Suppose 0 = 4*t + 2*b - 1202, -5 = -7*b + 2*b. Calculate the lowest common multiple of i and t.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -172*a**2. Let w(j) = 84*j**2 - 168. Let y(n) = 17*n**2 - 35. Let s(l) = 5*w(l) - 24*y(l). What is h(s(i))?\nAnswer: -24768*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**8\/840 + m**7\/420 + m**6\/180 - m**5\/60 - 7*m**3 - 6*m**2 + 1. Let y(f) be the first derivative of p(f). Factor y(j).\nAnswer: -2*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -0.1. Let j = 1.8 - 2. What is the second biggest value in -5, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/48)\/((-508)\/(-40)). Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1359\/100 at least as big as -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from uvjddkr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/7 (b) -1\/3 (c) 5 (d) 5\/2 (e) 3 (f) -1\/3201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 - 3*w**2 + w**4 + (-3*w**2 + 3*w**2 + w**2)*(w**2 + 2*w**2 - 2*w**2) + 2*w**4 - 3*w**4 + 2*w**4 + 13*w + 13*w - 28*w - 9*w**4.\nAnswer: -6*w**4 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.4. Let z = -0.3 - v. Let u = z - 1.1. Round u to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 11 = -4*x, x - 11 = -14*a + 17*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*l + (5 - 3 + 0)*(0*l - 5*l + 4*l) - 3*l + l + 0*l - 1 + 0 - 1 + 4*l.\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjuj when four letters picked without replacement from {n: 1, u: 3, j: 2, h: 1, b: 5, g: 3}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-144)\/(-15))\/(-2))\/(6\/20). Let s(i) = i**3 - i**2 - 4*i - 4. Let r be s(4). Let p = r + v. Calculate the least common multiple of 18 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 smaller than 446\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**4\/24 - y**3\/6 + 2*y**2. Let i(q) = -5*q + 5. Let n(s) = 2*i(s) + 9*j(s). What is n(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 12 = -6*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -2635?\nAnswer: -2643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 817 divided by -31\nAnswer: -817\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 843020901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Solve 13 = t + u*t + o, -t + 1 = o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 15*u = 22*u + 2544 for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 323438?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*h = 9, -4*t + 6 + 3 = -3*h. Suppose t = -2*n + n + 32. What is the remainder when 127 is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -379. Let i = o + -201. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q**5\/5 - 4442*q**4\/5 + 14496*q**3\/5 - 216*q**2 - 4000*q = 0. Calculate q.\nAnswer: -250, -1, 0, 2, 20\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 295*a**2 + 6997*a - 94. Give h(26).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Suppose p*n - 46 - 107 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 1\/378, -208\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 8*o - 8. Suppose 4*l + 0*l - 4*j = -24, -4*j - 6 = l. Let r be s(l). Calculate the highest common factor of r and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87892.\nAnswer: 2, 7, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 1) + (1 - 0). Suppose 24*u = -0 + 96. Put u, 5, d, 3 in ascending order.\nAnswer: d, 3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 13*l - 60. Solve -7*m + l*m - 5 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/1349, 0.5, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**(2\/7)*p)*p\/p**(4\/13))\/((p**(8\/9)\/p)\/(p\/p**(-1\/3))) assuming p is positive.\nAnswer: p**(1516\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Is 1074 a factor of 14436887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 0, 0.08, -0.2, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**3 + m**2 + 4*m + 5. Let w(q) = -4*q**3 + q**2 + 2*q + 3. Let g(u) = 5*w(u) - 3*z(u). Let i be g(-3). Does 9 divide (54\/(-8))\/(i\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 451462, 3611822, 12189944, 28894708, 56434994, 97519682?\n\"Answer: 451480*f**3 + f**2 - 3*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -202, -123, 10, 197, 438, 733, 1082?\n\"Answer: 27*s**2 - 2*s - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9431456849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -5 - -3*4\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4010492362 to the power of 1\/3, to the nearest integer?\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 7*l - 2. Let j(w) = w**2 + 7*w + 1. Let g(h) = -2*j(h) - 3*q(h). Let x be g(-3). What are the prime factors of (-2)\/x + (-23)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 406927*w - 620882 wrt w?\nAnswer: 406927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 3*x. Let o = 482 - 480. Let q(r) = -o*r - 2*r + 278*r**2 - 279*r**2. Calculate -2*h(w) + 3*q(w).\nAnswer: w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**3 - 172*k**2 + 176*k = 0. What is k?\nAnswer: -44, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6690*q - 11. Let x be v(11). Let w = 312023 - 442602. Let j = x + w. Round j to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(396)*-2 - sqrt(396))*6 + sqrt(396) + (sqrt(396) + -1)*-4 - 2*((-5 + (sqrt(396) + -1 - sqrt(396)) - sqrt(396) - sqrt(396)) + sqrt(396)))**2.\nAnswer: -21888*sqrt(11) + 859272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 41414126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 19*p**2\/2 + 107*p + 56. Let z be k(-5). Solve 0*v - 6*v = z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4043438401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-19040)\/(-1700))\/(14\/20)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -32*z + 217. Let x be s(14). Let a = -226 - x. Let n(i) = 3 - 4 - 7 + i. Give n(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*-1*sqrt(891)*-1*5)**2.\nAnswer: 180*sqrt(11) + 89101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -94 in ascending order.\nAnswer: -94, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 17*o**2 + 16*o + 3. Let z be x(16). Factor -4*s**5 + 2*s**5 + 5*s**4 + 3*s**3 - 3*s - 5*s**2 + 0*s - s + z*s**5.\nAnswer: s*(s - 1)*(s + 1)**2*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 16, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 1 - (-6 - -3)\/(-9). Factor 0*p**2 + o*p - 2\/3*p**3 + 1\/3 - 1\/3*p**4.\nAnswer: -(p - 1)*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655666.\nAnswer: 2, 11, 29803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 + 183*c**2 + 286*c - 668. Determine f(93).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 131\/6. Let i be (3 - 58\/20)\/(6\/(-15)). What is the closest to -3 in j, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1823*a**2 + 2*a - 44. Let l(j) = -1820*j**2 - 3*j + 65. Calculate 2*l(k) + 3*w(k).\nAnswer: 1829*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215802?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d + 315. What is s(-41)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -359 - -440. Let u be (-18)\/x + (-3)\/((-27)\/2). Solve u = -2*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + 0)*-6 + -1*sqrt(539) + -3 - (sqrt(539) - (sqrt(539) + sqrt(539) + 2 + 1 + sqrt(539)) - (-1*sqrt(539) - sqrt(539))*2))**2.\nAnswer: 43659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 1023 = -v - 1036, 2*v = -5*q - 32 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32046.9 - 32047. Which is the smallest value? (a) u (b) 2\/7 (c) 3 (d) -2\/3 (e) 4\/171\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*f + 5 = 2*f, -2*f = -h + 5. Let u = h - 2. Suppose -r + 4*r = 4*y - 51, -u*y = 4*r - 57. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392\/(-1029)*4\/(240\/(-9)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/6)\/((-5)\/(-405)). Suppose r = -w + 123. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378\/63*1\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1812, -3618, -5412, -7188, -8940, -10662, -12348?\nAnswer: -13992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.047?\nAnswer: -0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 4. Give m(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19846*t = -4*y + 19844*t + 6, -3*t - 307 = -73*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-1)*(-11)\/22.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2702 - 2 - (-2 + 2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -260*d**4 - d**2 + 2*d - 96.\nAnswer: -6240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + -0.0025\nAnswer: 0.0475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.042 + -0.542. Let f = 0.7 + -0.3. Let l = -1.4 + 0.4. What is the nearest to l in f, y, 3\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28a1 (base 11) to base 8.\nAnswer: -7235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1387 = -1825*l - 11388 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 139 = 14. Find the common denominator of x and -20\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153447 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/3)*j*j**(-8)*((j\/(j\/((j\/(j**(-2\/5)\/j))\/j*j)))\/j)**(30\/7))**12)**(2\/19) assuming j is positive.\nAnswer: j**(8\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1297765 is divided by 856.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcccctttcctccctccct. What is prob of sequence tt?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i**2 + 12*i - 9. Let h(s) = -43*s**2 + 44*s - 33. Let d(n) = -22*a(n) + 6*h(n). Let t(z) be the first derivative of -2*z**2 + 3. Give t(d(o)).\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 14 - 1320*h + 13 + 925*h in the form f*h + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 99.417 and -2690.\nAnswer: -2590.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:27 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/9 (b) -16 (c) 0.5 (d) 2\/11 (e) -288.77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1048 from 0.2.\nAnswer: 1048.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1226425569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (6 - 10) - 188. Let f = a - -568\/3. Let i = -33 + 73. Is f < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 12*q + 5 + 2*q**2 + 6 + 13 - 21. Suppose -2*z + 52 = 2*z. Calculate the least common multiple of l(-6) and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5484025 + -9584025. What is w rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 49 + 7*m - 129 - 36 as w*m + k and give k.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -19*h**3 - 8*h**2 - 2*h + 1. Let y(g) = 2*g**2. Let u(m) = -t(m) - 4*y(m). Let j be (-1)\/(1\/1*-1). What is the tens digit of u(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 111912\/(-21)*(-14)\/4. Let c be 2\/(-15) + o*(-204911)\/210. What is c rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46830209 + 46830209 - 7*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 6*s + 9. Solve -5*i**2 + 1 - 3 - 10*i - s*i**2 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961.5482 meters in millimeters?\nAnswer: 961548.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 6*t**2 - 7*t + 1. Let r be (2\/(-2))\/(4\/20). Let y(f) = f**2 + 7. Calculate the remainder when y(5) is divided by q(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9965*c**3 + 94053*c**2?\nAnswer: -59790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 4*y + 8*y)*(2 + 4 - 4) + 9*y + 5*y - y + 3*y - y + y + 3*y + 2*y - 3*y - y - 3*y + 2*y + (-3*y + 3*y - y)*(-1 + 6 - 3).\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -478, -959, -1440?\n\"Answer: -481*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 15. Let r be y(7). Sort -0.3, -0.5, r, -2 in increasing order.\nAnswer: r, -2, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/20 and 4 + (-2)\/(-6)*(-1768)\/80.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 241, 2, 0, 2\/19, 4 in descending order.\nAnswer: 241, 4, 2, 2\/19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(8*n**2 - 7*n**2 + 3*n**2).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 102023 (base 5) in base 15?\nAnswer: 100d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 5*p - 10, 6*p + 11 = 10*p + s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 61*d - 63. Let x be h(-4). Let g = -297 - x. What is the greatest common divisor of g and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1912059 by 83133.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 - -2 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 217*v**3\/3 + 2*v - 2. Let n(y) = -3*y**2 - 4*y**2 - 3*y**2 - 11*y**2 + 22*y**2. What is u(n(h))?\nAnswer: 217*h**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b*d**2*f - 56482*b*d**2 - 3*d**2*f + 1886*d*f - 15 wrt b?\nAnswer: -3*d**2*f - 56482*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 2610*q - 2609. What is d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*h - 26*h - 386*h.\nAnswer: -470*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 + 105*m**3 + 294*m**2 + 192*m.\nAnswer: 3*m*(m + 1)*(m + 2)*(m + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 7 = 5*o, 2*o = -4*f + 98. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4634228 by -11762.\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -118, -112, -146, -220, -334?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 2*t**2 - 1. Let p be j(-1). Let g = 3 + p. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -0.027.\nAnswer: 30.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 5:54 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -7, -77 in descending order.\nAnswer: -1, -5, -7, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/12 and -59\/1205592.\nAnswer: 1205592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2\/5 + 1218*g\/5 + 1228 = 0?\nAnswer: -5, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 7056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7378b - 3?\nAnswer: -73790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -287, -578, -869, -1160, -1451, -1742?\n\"Answer: -291*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 12*y**2 - 11*y. Let j be g(11). Suppose j = 2*a - 15 - 9. Suppose -a*z + 110 = -7*z. Calculate the least common multiple of 14 and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -260 (b) -3 (c) 0.0432\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - w + 200 = 0, -6*g + 5*g - 2*w = 50. Which is greater: -49 or g?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p**2 - 75*p**2 + 7*p**2 + (-2 + 2 + 3*p)*(-p - 3 + 3))*(-p**2 - p**2 + 5*p**2).\nAnswer: -186*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 10. Let j(g) = -3*g + 0 - b + 4 + 13*g. Suppose -3*q + 1 = -i, 5*q + 2*i - 3 = 6. Give j(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and (4\/7*7\/(-2))\/((-4)\/24).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -237 - -217. Let z be 63\/(-13) + 4 + 1. Let q = 10 + -6. Which is the third smallest value? (a) p (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 278*k**3 + 4*k**2 + 18*k - 5. Let v(i) = 69*i**3 + i**2 + 4*i - 1. Let p(w) = 2*l(w) - 9*v(w). Find the third derivative of p(n) wrt n.\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 61*j**2 + 63*j + 782. Is t(79) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20651496 + 1976496. Round j to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 23*n**2 + 23*n - 18. Determine q(12).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 + 0.1085.\nAnswer: -0.0615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11333302110 - -10?\nAnswer: -11333302100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000111 (base 3) in base 11?\nAnswer: -1720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26 - 26*u - 19*u + 77*u - 15*u - 13*u - 1173*u**2 wrt u?\nAnswer: -2346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3*(sqrt(175) - (sqrt(175) + -1)))**2 - (((sqrt(756)*-2 + sqrt(756))\/sqrt(12) - sqrt(63))\/(sqrt(36) + sqrt(324)))**2)*-3.\nAnswer: -27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.601630171 to 4 decimal places.\nAnswer: 1.6016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijvs when four letters picked without replacement from jjssinisviii?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -17 + 9. Suppose 2*h + n*i = -3*i + 20, 0 = -i + 2. Suppose 0 = m + t - h, -3*t + 1 = 4*m - 22. Calculate the greatest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = l - w, 7*w + 0*w + 46 = 7*l + 3*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -179*w**4\/8 - 2*w**3\/3 + 3*w**2. Is o(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + u + 83 = -q + 90, -5*u = 6*q - 77 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -c56513 (base 13) in base 15?\nAnswer: -61195e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 729 - 609. Calculate the greatest common divisor of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046779 is divided by 523359?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 y when four letters picked without replacement from dddddynyddddnyyd?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5\/3 - 10613*j**4\/3 - 9583393*j**3\/3 - 3112018285*j**2\/3 - 150931198775*j\/3 - 37538448250\/3 = 0 for j.\nAnswer: -865, -58, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -510 - -587. Suppose -13 = -90*q + w*q. Calculate the remainder when 28 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o. Let w(u) = -5*u**2 + 2*u. Let h(i) = 28*i**2 - 10*i - 3. Let m(p) = -h(p) - 5*w(p). What is m(b(j))?\nAnswer: -108*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 at least -4\/23229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/10)\/(8\/10). Let x = 1\/6 - j. What is the closest to -1\/5 in -4, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94805\/17 - -5583. Let q = k + 167\/85. Find the common denominator of q and -71\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 0.2, -108, -4, -5\/3 in descending order.\nAnswer: 0.2, 2\/17, -5\/3, -4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + r = -3, r = 2*l + 2*l - 3. Suppose -v + 3*v - 128 = l. Let p = 29 - v. Round p to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (23 + -21 - 19).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -510*r**2 - 1054*r**2 + 180 - 181*r + 187 - 551 + 189 wrt r?\nAnswer: -3128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 2*i**2 + 3*i - 4. Let t be x(1). Solve -v + 2*f - 7 + 0 = 0, -t*v = 3*f + 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*a - 114 + 114)*(5*a**3 - 2*a**3 - 4*a**3)*(5 - 8 + 4) to i + y*a + z*a**2 + h*a**4 + u*a**3 and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 57 + 20)*(80*q + 32*q + 71*q) in the form y + x*q and give x.\nAnswer: 14274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12818431487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64219?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15498 and 3690.\nAnswer: 77490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Suppose -c*o = 3 - 15. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - z - 3*z - 12. Suppose -1215 + 1383 = 28*h. Let u be o(h). Does -25 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -436 - -438. What is the fifth smallest value in -2\/55, -0.4, 6, 0.2, w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 273, 578, 887, 1200, 1517, 1838?\n\"Answer: 2*v**2 + 299*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1951, -1946, -1939, -1930?\nAnswer: -1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 1\/6*l**4 + 1\/3*l**3 + 4*l**2 - 17\/6*l**5 + 0 + 0*l. Let m be w(7). Round m to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556.2 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 12 = 5*n - 3*k, 3*k + 16 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -3\/5 (b) -24.9 (c) -5 (d) 2\/9 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 396505378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26 and 97.98972835.\nAnswer: 71.98972835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -43166136+162.2\nAnswer: -43165973.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1032, -1052, -1108, -1218, -1400?\n\"Answer: -3*q**3 + q - 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6\/(9\/3) + 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000111375351 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - 3) + 0 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8*t = 0. Let z be 0 + (-1)\/(-2)*t. Suppose 5*i - 15 = 0, -k - 2*i + 4*i = z. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.333 + -0.033. Let o = -1021 + 1020.7. Which is the third biggest value? (a) x (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(20\/(-16)) - -24. Let o be h*(-1 - 5\/(-4)). Let i be (-4)\/3*o\/(-10). Which is smaller: i or 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-7) - 130864\/(-86856). Let c = 1775\/3243 - 9\/23. Let t = o - c. Find the common denominator of 15\/7 and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -7. Let g(r) = 3*r**2 - 7*r - 4. Let l(s) = -4*s**2 + 8*s + 5. Give j*g(i) - 4*l(i).\nAnswer: i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41\/2 of a kilogram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 393 and 3275?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**3\/3 + 2*g**2 + 6*g - 4. Let a be f(6). Is -6 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o - 17. Let m be s(-4). What is the nearest to 0.2 in -4, m, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + 0.36. Let s = -68.3 + 72.3. Let d = -0.3 + 1.3. What is the closest to d in s, y, -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -207 + 207.409. Let n = 0.289 - l. Do -0.1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1\/4 (b) 2\/3 (c) -2 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100201 (base 3) to base 15.\nAnswer: -79a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5. Suppose -m - 1 = -3*w. Suppose -v - 4*v + 55 = 0. Solve 0 = w*y - c + 6, -y - 2*c = -4*y - v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12935, 5, -0.5, 2, -4, -0.4 in decreasing order.\nAnswer: 12935, 5, 2, -0.4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2139*p - 27 - 2132*p - 31)*(-3*p + 2*p + 2*p - 4).\nAnswer: 7*p**2 - 86*p + 232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 10:39 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-13 - -21)) + 12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 134, 13\/86, -28?\nAnswer: 13\/86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4119*o - 2503*o - 487*o - 729*o.\nAnswer: -7838*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -7*f + 4*f - 10, 5 = -t - 2*f. Suppose -3*j + 2*k = 5, 0 = 2*j - 2*k + k + 2. Is j at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 443*r**3 - 438*r**3 + 1 - 139*r**2 - 3 + 2 in the form z*r + k + y*r**3 + u*r**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-5 - 0) + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 46 - 126. Suppose -3*o = -5*b - 40, o + 0*b - z = -5*b. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*c**2 + 0*c - 26*c**2 + c + 6 as l*c**2 + w*c + z and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -16*m**2 - 4*m + 3. Let f(h) = -11*h**2 - 3*h + 2. Let o be ((-25)\/10)\/(-5)*(-10)\/(-1). Let d(n) = o*z(n) - 7*f(n). Give d(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8373465 plus 69605?\nAnswer: 8443070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -6 - 0 - -160. Suppose b*o - 158*o = 1897. What are the prime factors of o?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, o: 6}. What is prob of sequence vo?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 2:47 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2*p**6\/5 + 6*p**2 + 14*p + 17. Let t(x) be the first derivative of y(x). Differentiate t(l) wrt l.\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1)*(-4)\/24. What is the nearest to 1 in 1\/2, z, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggngigai. What is prob of sequence gig?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221312 (base 4) in base 3?\nAnswer: 100021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - u**2 + u - 5. Let n be a(0). Let v be (-404)\/n + 1\/5. Suppose 4*d - v = -5*l, -4*d - 3 = -2*l - 49. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6637*0.05\nAnswer: 331.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(30\/(-4)))\/(1\/(-3))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-1\/53))**(18\/7) assuming t is positive.\nAnswer: t**(18\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqlqqqlqqlqqqlqqq. Give prob of sequence qq.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 329, 1044, 1717, 2348, 2937, 3484?\n\"Answer: -21*f**2 + 778*f - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -8*o - 2. Calculate the remainder when (-257)\/(-4) - (-5)\/(-20) is divided by y(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 28\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 4:13 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1536*u + 389. Is v(-34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -169*b**2*g*k + 1352*b**2 + 1505*b*g*k - 287*b*k with respect to g.\nAnswer: -169*b**2*k + 1505*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -112084 greater than -112086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 5. Calculate the lowest common multiple of 27 and h(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 834*k - 421*k - 414*k + 5*k**2 + 5*k**3. Let l(g) = 6*g**3 + 5*g**2 - g. Determine -4*l(u) + 5*y(u).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 83 - (118 - (-80 + 127))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -1611?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -408 + 1587\/4. What is the common denominator of z and -109\/70?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -11236.\nAnswer: 3\/11236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6191*f**3 - 3*f + 6187*f**3 - 18566*f**3 + 6186*f**3 + 3*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from geeeiimimfeeiffe?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5}. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831023043.\nAnswer: 3, 29, 67, 142567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13645?\nAnswer: 5, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 727*d**2 - 3*d + 1. Let u be b(2). Let k be 11 + 58423\/(-20) - 2\/(-8). Let n = u + k. What is the common denominator of -41\/10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -2 - (6 - 2 - 28) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 5*m - 5*m - 16*m + 34*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -13\/3, 0.3, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -42. Suppose h*s = 7*s - 4, -2*a + 5 = -3*s. Let w(i) = i - 1. Let p be w(4). Put -1, a, p in decreasing order.\nAnswer: a, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 p when three letters picked without replacement from ppppgpwpjkpppppppkp?\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -123 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 + 25*d - 17. What is g(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 104327, 417058, 938277, 1667984, 2606179, 3752862?\n\"Answer: 104244*l**2 - l + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1983345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t + 978 - 978.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-119))\/((-114)\/(-399))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 - 3*d**2 + 323 + 12*d**3 - 323 to h + l*d**2 + r*d**3 + x*d and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 2. Let x(m) = -m + 1. Let q(i) = 3. Let a(w) = -w + 15. Let f(j) = 2*a(j) - 11*q(j). Let h(s) = f(s) + x(s). Determine 3*d(t) + 4*h(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 226. Suppose -5*x + s = 33. Let v = x - 24. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + 1)*((-16)\/(-10) - 1). Suppose -4*x + 2*x = -102. Suppose u*y - x = 15. What is the least common multiple of y and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 896\/108749?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 1459200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 - -0.7. Let z = -0.9 - j. What is the second biggest value in 2, -2\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 + 42 = 7*m - 42. Let s(g) = -g**3 - 9*g**2 + 4*g + 6. Determine s(m).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111360 rounded to the nearest one thousand?\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 365*m**2*v**3 + 520*m**2*v - 2*m*v**4 - m*v**2 - 4*v wrt v.\nAnswer: 2190*m**2*v - 24*m*v**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.040959*-0.8\nAnswer: -0.0327672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-10) - (2\/5)\/(-1). Suppose -h*a = 3*a. What is the common denominator of -65\/84 and 9\/(-6)*(-42)\/5 - a?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (2 - (-36 + 48)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -261289*a*k - 14819193*a - 6*k**3 wrt k.\nAnswer: -261289*a - 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 4*u + u + 27, 0 = -2*m - 3*u - 1768 + 1797 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*n + 10, -3*n + 15 = 2*c - 3*c. Let r(p) be the third derivative of -p**6\/120 - p**5\/60 + p**4\/24 - 2*p**3\/3 + 4*p**2. Calculate r(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - v + 1. Let s(z) = 109 + 2*z + z**3 - 108 - z**2 - z**2. Let r(y) = 5*n(y) - s(y). Suppose t - m - 3 = 2*t, 3*t = -5*m - 1. Determine r(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 18*z + 88. What is g(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 9\/2)*0. Put 3, l, -5 in decreasing order.\nAnswer: 3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 202 = -d - 199, 0 = j + 5*d - 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 294*o + 904. Determine w(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.2824 times -17263\nAnswer: -39401.0712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 t when three letters picked without replacement from {a: 1, j: 1, t: 2, y: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*u**5 - 1535*u**3 + 18*u**2 + 11*u + 26 wrt u?\nAnswer: -240*u**2 - 9210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18700 + 21?\nAnswer: -1868a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12217073*v + 12217081*v - 24434156*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + -0.3. Let o = -217\/20 + 58\/5. Which is the smallest value? (a) k (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62295832884*x**2 + 62295832884*x**2 - 3*x**3 - 8 + 2*x**3.\nAnswer: -x**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63732653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivssshcccsmimvm. What is prob of sequence cmhc?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -2 (c) -3\/8 (d) 5\/3 (e) 1\/4 (f) 16 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483649 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = -5*c + 105, 5*c - 13 + 8 = -b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -293*k**2 + 982. Let a(m) = -7*m - 6. Give s(a(l)).\nAnswer: -14357*l**2 - 24612*l - 9566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.8 to 0 dps.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + x - 19 = -2*x, 2*x - 22 = -3*w. Let z(b) = 3 - 4 - w + b. Let p(i) = -3*i + 11. Let j be (-28)\/(-6)*(-6)\/8*2. Calculate j*z(d) - 3*p(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 305144604 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13419314 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 11:30 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4449\/32, 4\/3, 0.03, -4 in increasing order.\nAnswer: -4, 0.03, 4\/3, 4449\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2*m + 2)*(3*m**2 - 2*m**2 + 0*m**2) + 2*m**3 - 3*m + 3*m)*((-m + 6*m - 3*m)*(-1 + 1 - 2) + (2*m - 1 + 1)*(-1 + 4 + 0))*(-3*m - 14*m - 18*m).\nAnswer: -280*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b - 27*b = -12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + 3*sqrt(110)*-1 + sqrt(110))\/(-1*sqrt(1210)))**2.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 divided by -2?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 58*c + 220 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 41815655 - -0.0174239\nAnswer: 41815655.0174239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(512) + 1*sqrt(512))*-1 + 3 - ((sqrt(63) - (-1 + sqrt(3087) + sqrt(3087))**2) + sqrt(63) - sqrt(35)\/(sqrt(60)\/(sqrt(48)\/sqrt(4)))).\nAnswer: -1425*sqrt(7)\/16 + 12352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, i: 1, h: 2, c: 3, k: 1}. What is prob of picking 1 c, 1 b, and 1 i?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {d: 1, l: 3, x: 2, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0435 * 2499.\nAnswer: -108.7065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*f**3 + 3 + 896*f**2 - 894*f**2 + 17*f**3 + (-2*f - 2*f + 2*f)*(2*f**2 - f**2 - 3*f**2).\nAnswer: -7*f**3 + 2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 94315845?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94\/5029*107*(21\/(-405))\/7?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p + 4. Let l(o) = o**2 - 9*o + 6. Let z be l(7). Let f(y) = -6*y + 11. Suppose -19 = -2*t + 9. Let s be (-2)\/(t\/6 - 3). Determine s*f(v) + z*h(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three thirds of a hour?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 33*d**3 + 4*d**2 - 4. Let n be w(-2). Let z be n\/(-60) - 1\/5. Suppose x - 39 = -3*v, -4*x + 0*x - z*v = -188. What are the prime factors of x?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211002220 + 210?\nAnswer: -211002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 490708807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3008?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 44 + -46 + 1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(1573)*2 - sqrt(1573)) + sqrt(1573))**2 + sqrt(1573).\nAnswer: 11*sqrt(13) + 157300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 35, 1.03, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39527.66 rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4 + 123*v**3 - 2262*v**2 + 12448*v - 21216 = 0. Calculate v.\nAnswer: 4, 13, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4190 + 1730. Round k to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*d**2 + 8124352*d - 86409765?\nAnswer: -16*d + 8124352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 100 - 13. Let a = v + -30. What is the common denominator of 1071\/(-140) - (a - 1) and 113\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -417*u + 30. Let l be i(5). Let c = l - -2962. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 375 + -4055042?\nAnswer: -4054445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*1*-3*6)\/(((sqrt(441) + sqrt(441) + sqrt(441) + 2*sqrt(441) - sqrt(441))\/sqrt(7))\/(sqrt(36)\/(sqrt(8)\/sqrt(2)))).\nAnswer: -54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21652 divided by 5413\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - -1 - 4858\/(0 - 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111*v**3 - 123*v**3 + 126*v**3 - 1)*(-230*v - 111 + 111).\nAnswer: 24840*v**4 + 230*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*y**4 + 2*y**4 - 4*y**4 + (y**4 - 3*y**4 + 4*y**4)*(1 + 3 + 1) + 20*y**4 + 37 - 37.\nAnswer: 37*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**2\/2 - 54606*q - 496969206 = 0.\nAnswer: -18202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88.093 - 0.187. Round d to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 53*r + 305 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**3 + 26*c - 5. Let d(p) = -2*p**3 - 13*p + 2. Let m(z) = 5*d(z) + 2*h(z). What is the second derivative of m(t) wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqkknkxqkn. Give prob of sequence qk.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4446601777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 5:12 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2459417, 4918834, 7378251, 9837668, 12297085, 14756502?\nAnswer: 17215919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -27492\nAnswer: 1\/9164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1624*w - 1588*w = -1332 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 173, 166, 141, 86, -11, -162?\n\"Answer: -2*z**3 + 3*z**2 - 2*z + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -2, -0.022, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9\/100 - 4\/25. Let k = -0.15258 - -0.15258. Put -4, 2\/15, i, k in increasing order.\nAnswer: -4, i, k, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -660 - -501432?\nAnswer: 500662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 302?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120525 + -4?\nAnswer: 120521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(12)\/sqrt(2)) + sqrt(19) + -5*(sqrt(19) + -1*sqrt(19)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = j - 2*k, k - 23 = 2*j + 2*k. Let o = 31 + j. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - a426?\nAnswer: -a421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004437646 to four dps.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q - 17. Let k be 7\/((-63)\/(-6))*-21. Let a be k*(-2 + 3 + 0). What are the prime factors of v(a)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17174207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqrqrhr. Give prob of picking 1 h and 1 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 1. Let j be g(-2). Let c(x) = x**2 - 26*x - 231. Let t be c(33). Suppose t = -j*h - 2*h. Which is greater: h or 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 4*v - 2*v)*(-2 - 2 + 6) + 1 - 1 + 3*v + (2 - 1 + 19)*(-1 + 1 + 5*v + (5*v - 5*v + 2*v)*(-2 - 2 - 7)) as l*v + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/18 and 37\/114?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i + 30*i = 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + 2*t**2 + 2*t. Let g(h) = -h**2 - h. Suppose 0*z = 4*z - 8. Let w(b) = b**3 + 14*b**2 + 23*b - 11. Let q be w(-12). What is q*x(i) + z*g(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1259 - 484. What is the least common multiple of d and 250?\nAnswer: 7750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - sqrt(65)*2*1)\/(sqrt(500) - (sqrt(500) + sqrt(500)*-1)).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23020101 - 10?\nAnswer: -23020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 8. Suppose 2*b + 4 = b. Let n = 6 + b. Let l(q) = 4 - n - 1. Determine -10*l(u) - t(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 3*b + 4. Let p(y) = -y**2 + 12*y - 23. Let h be p(10). Is 14 a factor of q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtt when three letters picked without replacement from ttttvvttvttt?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 370 - -439\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 3*t**2 - 49*t + 50. Let x be u(1). Which is smaller: -6\/1091 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 3:18 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 336 = -4*q. What is the common denominator of 47\/2 and (-1 + (-3)\/(-5))*(-9730)\/q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 13*m**2 - 9*m - 15. Let h be x(11). Let v be (-190)\/(-14) - h\/224. Let w be v\/(-28) + (-2 - (-48)\/21). Is w not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.05 + 1.919. Let l = -0.13041 - j. What is l rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906659841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18232 - 18076. What is the greatest common factor of k and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 41*f**2 - 216*f - 34. What is the units digit of r(46)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2. Let x(c) be the first derivative of -4*c**3\/3 - 3. Calculate r(x(y)).\nAnswer: 48*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*m + 303. Calculate the highest common divisor of m and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 + 3*f - 13. Let h(x) be the second derivative of -x**4\/6 + 19*x**3\/6 - 15*x**2 - 36*x. Let y be h(8). Is n(y) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77904 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 47386127?\nAnswer: 18954450.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-66)*-6)\/((913\/166)\/11).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426878 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3105896 is divided by 88738?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -270935 or -270943?\nAnswer: -270943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 1, q: 5, p: 1}. Give prob of picking 1 u and 1 p.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*d - 8 = -3*c, 2*c = 4*d + 4. Let a be 2\/(3 + (-5)\/c). Solve -a*r + 2*r = -6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {d: 6, o: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3881\/369 - 85\/41. What is the common denominator of 1\/6 + 77\/66 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1. Let g(w) = -5*w**2 - 3*w - 2. Let k(b) = -g(b) + 4*u(b). Let n(s) = 2*s**2 + s + 2. Suppose f - 16 = -f. Let x(d) = f*n(d) - 3*k(d). Factor x(q).\nAnswer: (q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = o - 27, -4*o + 8 + 5 = i. Suppose 19 + 1 = o*n. Let d = 2 + 2. Calculate the highest common factor of d and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - k - 32 = k, 0 = -z - k - 11. Let c = -8 - z. Suppose -764 = -3*g - 2*i + 7*i, -g + c*i = -255. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6cc6 - -2?\nAnswer: 6cc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7 + 0 + 3 + -17 + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310861759?\nAnswer: 13, 29, 709, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/33621 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -22, 1, 24, 47?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 8. Let j(s) = -1508 + 2*s**m + 1508 - 28*s. Let n(d) = -2*d**2. Give n(j(b)).\nAnswer: -8*b**4 + 224*b**3 - 1568*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -4. Let x be t + 0 - (-5 + 5). Suppose -5*w - 9 = x. Let a(n) = n**3 - 4*n - 3. Calculate a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1313936479.\nAnswer: 23, 57127673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 745566366 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*s, b + 2*b = -3*s + 21. Suppose 3*v + b*j = 347, v + j - 359 = -2*v. Calculate the greatest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (990\/3927*17)\/((-15)\/(-140)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l - 2205. Let d = -309 - l. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 0.58. Let h = -5.02 + v. Which is the nearest to 1? (a) -2\/3 (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 3*w**2 - 2*w + 20. List the prime factors of o(-8).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368973863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(150)\/(sqrt(108)\/sqrt(4)).\nAnswer: 1 + 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 14, 0.2, 5, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/11 in -1, -6, -549, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0*w - 1\/3*w**3 + 0 - 1\/15*w**5 + 3*w**2 - 1\/120*w**6 - 5\/24*w**4. Suppose t(p) = 0. What is p?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {y: 8, a: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-7 - -3) + (-3 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/18 and -5\/1036.\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8322 - 3945 = -9*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -5*p - 42. Let s be (-1)\/((-12)\/(-40))*p\/10. Find the second derivative of -3*o + s*o + 10*o**4 - 3*o + 9*o wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 3, q: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let h(o) be the first derivative of o**3\/3 + 3*o**2\/2 - 45*o - 35. Let z be h(-10). Let f(v) = -25*v - 56*v + z*v. Give f(p(m)).\nAnswer: -56*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13 + ((-1)\/(-4))\/((-5)\/(-100)). Is (x\/24)\/(5\/(-41620)*-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 4*s**2 - 3*s + 3. Let y be g(3). Let b(f) = -f**3 + 4*f**2 - 2*f - 3. Let p be b(y). Differentiate u + 1 + 1 + p*u with respect to u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 731154 - 17806.\nAnswer: 713348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 701461645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_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 the ten thousands digit of 134629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.8*-1.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 42. Determine w(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 394\/513?\nAnswer: 394\/513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {m: 1, d: 3, w: 4, x: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-21))\/3)\/(111\/(-2220))*21.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64\/19*a**4 - 18\/19*a**3 + 78\/19*a**5 - 4\/19*a**2 + 0 + 0*a = 0 for a.\nAnswer: -1, -2\/13, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(3\/11)))\/(i*i\/(i*i*i\/(((i\/(i**(-2\/5)\/i*i)*i)\/i)\/i*i))))\/(i**5\/i)**(-36) assuming i is positive.\nAnswer: i**(7883\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493963474.\nAnswer: 2, 10957, 22541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 189?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24553132 divided by -6.\nAnswer: 12276566\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120112 + 1?\nAnswer: 120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**7\/14 - o**4\/6 - 3*o. Find the third derivative of m(u) wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -576, -1.5, -11\/5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 36) + -18 + 1?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14 and 868?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1532191919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**6\/20 - p**5\/10 - 7*p**2. What is the third derivative of r(m) wrt m?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5266002.\nAnswer: 2, 3, 7, 19, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**22*p**(5\/2))**(-1\/32) assuming p is positive.\nAnswer: p**(-49\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37a56 (base 11) in base 6?\nAnswer: 1100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3820684594?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -302*y**2 + 25896*y + 297216.\nAnswer: -2*(y - 96)*(151*y + 1548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 15*k**2 + 11*k + 74. What is p(10)?\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-9))\/((20\/24)\/5). Suppose -m*x + 970 = -7*v + 4*v, 2*x + 4*v - 998 = 0. Is 71 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w + w - 4*w - 72 + 2*w**2 as y*w**2 + k + i*w and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -s + 11, -5*x - 3*s + 61 = -0. What is the derivative of t**3 - 11 + 2 - 15*t**3 - x wrt t?\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from mnnhmmmhwzhhmyh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5268341909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1. Let u(r) = -r + 2. Let o(f) = l(f) + u(f). Let v(b) = -b**2 + 2*b - 5. What is 3*o(m) + v(m)?\nAnswer: -m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 5*b - 6. Let l(v) be the second derivative of 0 - 2\/3*v**3 - v - 1\/12*v**4 + 5\/2*v**2. Determine -4*l(t) - 3*o(t).\nAnswer: -2*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wipppwppppiiw. Give prob of picking 1 p and 1 w.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -7. Let w(b) = b**2 - 39*b + 360. Let x be w(15). Suppose -q*i - 3*i + 252 = x. Which is greater: i or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.4993 - -4.48. Round n to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/(-100))\/(-3))\/(6\/4).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u = t + 57, 0 = -2*u - 4*t + 32. Let n(i) = i**3 - 25*i**2 - 27*i + 28. Let f be n(u). Solve 0 = 4*y + 14 + f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -2, -0.6, 1\/5, 149, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.358921 millimeters?\nAnswer: 358.921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(3)*-4 - sqrt(3)) + 0 - (sqrt(15)*1)\/sqrt(5)) + -3 + -2*(2*sqrt(1188))\/(sqrt(704)*2 - sqrt(704)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*d + 4*d + 240, y - 2*d = 67. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - m - 2729 = -2*s, -5*s = -m - 13637. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/11 - 50*v**2\/11 - 336*v\/11 - 288\/11.\nAnswer: -2*(v + 1)*(v + 12)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {p: 1, v: 2, i: 1, c: 1, o: 1, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 + (-77)\/14 + 5)\/((-51)\/(-68))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-12) + 3\/3)*-75. Solve 3*q = 8*q + w, z = -5*q - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19420 = -13*q - 19355. Solve 2*m + m = 3*y + 21, -4*m + 33 = -q*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6085, -9249, -12413?\nAnswer: -15577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 2*s - 1 - 5*s + s.\nAnswer: -9*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, -1, -4, -7, -10?\n\"Answer: -3*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -267*d**3 - 15615*d**2 - 47708902?\nAnswer: -801*d**2 - 31230*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000623 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -25) + -8 + -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 678.7 - 678.6. Put 4, u, 2\/3, -89, 5 in descending order.\nAnswer: 5, 4, 2\/3, u, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 4*u**2 - 7*u - 6. Let m be f(-5). Let n be ((-18)\/(-20)*6\/9)\/((-1599)\/(-13325)). Solve -m*z = n - 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*-6*4\/(-54). Which is the second biggest value? (a) -0.2 (b) z (c) 0.07 (d) 0.3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 161 - 107. Calculate the remainder when 264 is divided by c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55571689 to the power of 1\/2, to the nearest integer?\nAnswer: 7455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0 (c) -63 (d) 5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/8)\/(15\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -98822*n + 1679972. Calculate z(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7, -11, -19, -31, -47?\n\"Answer: -2*i**2 + 2*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Suppose 3*v + 4*o = 37, 0*o = k*v + 3*o - 40. Let s(d) = -4*d + 16*d - v*d + 4. Let h(r) = -6*r - 5. What is 4*h(f) + 5*s(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -957812 - -1835939. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 6*l - 4*l - 2, 4*l = -3*v - 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1259337 smaller than -1259337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v\/(v**(-22)*v))\/v*v**(-8)*v**(-4\/11)\/((v*v**(-7))\/v) assuming v is positive.\nAnswer: v**(227\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/44*-4 - (-123595)\/(-55). Let b = j - -4490. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**5 - 14*z**3 + 37*z**2 + 7321*z wrt z?\nAnswer: 40*z**3 - 84*z + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from {x: 5, a: 1, l: 1, s: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 + 70*u + 443. Give y(-6).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36.022 and -0.1.\nAnswer: -3.6022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 11:10 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:05 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26837071.\nAnswer: 239, 112289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2733 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w + 1858756. Let y(i) = -3*i**2. Determine f(y(g)).\nAnswer: -30*g**2 + 1858756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 0*u**2 + u**2)*(454863 + 1552*u**2 - 454863).\nAnswer: -1552*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 14*f - 4. Let i be w(2). Let d be 70\/21 + -2 + i\/9. Solve -3*x + d*x = -3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 1 + 1)*(-1 - 6*k**2 + 3 - 1) + (3 - 3 + 1)*(14*k**2 + 6*k**2 - 6*k**2) to v*k**2 + u + j*k and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwpw when four letters picked without replacement from pwpppppwp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*3.87353.\nAnswer: -166.56179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + 2 - -8) + (-3 - -6). Let m(d) be the first derivative of 5 + 4\/3*d**3 + 0*d**2 - q*d. Factor m(g).\nAnswer: 4*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131559?\nAnswer: 3, 43853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -14556.57 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:49 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27263, -27379, -27571, -27839, -28183, -28603?\n\"Answer: -38*q**2 - 2*q - 27223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 481*b*t**2 + 417*b - 2*t**2 - 3 wrt t?\nAnswer: 962*b*t - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + i + 2*i + (2 - 2 + i)*(0 - 1 + 2) + 2*i - 5 + 5 + (3*i + 0*i - 2*i)*(-3 + 3 + 1) + 0*i + 2*i + 0*i + 4 - 4 + 2*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -34690, -69000, -102934, -136492, -169674?\n\"Answer: 188*i**2 - 34874*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 573537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 44*s + 705. Determine i(29).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, p: 7}. Give prob of picking 3 p.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60267574 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + w**2. Let r be f(0). Solve r*q + 6 = -3*q + c, -2*c = 3*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44673.\nAnswer: 3, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 513b3b - 0?\nAnswer: 513b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8596 is divided by 452.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000436 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 1 g when three letters picked without replacement from {g: 1, k: 1, z: 2, s: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0*a)**(1\/30)*a\/a**(2\/7)*a*a**(-3\/7))\/(((a*a**(-1)*a)\/a)\/(a*(a**(1\/5)*a*a)\/a*a)*(a*a**(2\/3))**(3\/13)) assuming a is positive.\nAnswer: a**(5689\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - p + 6 = -3*p, -2*d + 3*p + 7 = 0. What is the least common multiple of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8837800 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253009 is divided by 587.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zddz when four letters picked without replacement from ddddzdzzzzdddd.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3086 divided by 1543?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 6) + -3*(-5 - 3). Let n = p - 23. Suppose -g = n*l + 4 - 5, -2*l = -5*g - 19. Let z(a) = -a + 3. Let r(b) = -3*b + 10. What is l*r(v) - 7*z(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -15*u + 357. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**3 + 11*u - 4. Let n(z) = -14*z**3 + 32*z - 11. Let i(k) = -11*g(k) + 4*n(k). Find the second derivative of i(b) wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**4 + 531546786*m**3 - 116*m**2 - 2132144 wrt m.\nAnswer: -48*m + 3189280716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(85) + (-1*sqrt(85) - sqrt(85))*-4)\/(1*sqrt(180)).\nAnswer: -5 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -406, -1811, -4158, -7447, -11678, -16851?\n\"Answer: -471*t**2 + 8*t + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-7 - (-10 + 3 - -18 - 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -2, -1, 24\/205, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*i + 769 + 1517, -757 = -i - z. Calculate the greatest common factor of 184 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131 + 0. Let z = l + 130.5. Let q be 4\/(-6) - 8\/(-30). What is the nearest to -2 in 5, q, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -17.9. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5\/3 - 94*h**4\/3 - 4*h**3 + 290*h**2\/3 - 188*h\/3 = 0. Calculate h.\nAnswer: -2, 0, 1, 47\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 29 = -4*q. What is the remainder when 36\/63 + 136\/7 + -3 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n + 11 - 11)*(-210*n**4 + 189*n - 189*n) + n**5 + 4*n**5 - 3*n**5 + (0 + 0 + 2*n**4)*(3*n - 3*n + 2*n).\nAnswer: -1464*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u - 52. What is s(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 87 = 48 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277004634 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g**2 + g + 1. Let s be a(-1). Is 41*-7*(8 - s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 10 = 15*n - 35. Solve 3*a = -n*d + 3 + 17, a + 2*d - 8 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62610*f + 62614*f + 44 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 10*m**2 + 4. Let r be a(-10). Suppose -3*j - 2*g + 34 = 0, 0*j = 4*j - r*g - 52. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 1280.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 6:58 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -759373 divided by 31\nAnswer: -759373\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(3)*1 + 2.\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*f + 4*l, f - 10 = -f + 2*l. Let w(m) = -m + 8. Let q be w(f). Solve -q = -k - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(4\/1)\/4. Suppose x = -j + 2, 3*t + 4*j - 5*j = 10. Suppose 5*i + 4*g = 6*g - 9, -t*i = -2*g + 8. Which is the closest to i? (a) 2 (b) 0 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 1525.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*((-32)\/36)\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 49 = f, -67*f - 268 = 13*y + 50*f - 122*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 222*g**3 - 19*g - 26 - 24 + 21*g.\nAnswer: -222*g**3 + 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -898066 at most -897987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239*r + 595*r + 2616*r**3 - 354*r to the form g*r**2 + s*r + o*r**3 + j and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357128*x**3 + 1725729*x**3 - 5*x + 3*x.\nAnswer: 2082857*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-126))\/(((-102)\/(-85))\/((-21)\/(-25)))\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 549*s**2 + 21825*s + 310497.\nAnswer: 3*(s - 97)**2*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/7)*a\/a**(-1)*a)**(-2\/55)\/(a\/a**(-3)*a\/((a*a*a**(2\/21))\/a*a))**(-2\/83) assuming a is positive.\nAnswer: a**(-386\/8715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -21*x**2\/2 + 2. Let c(h) = -h. Let p = -36 - -41. Let i = -13 - p. Calculate i*c(v) + j(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 835 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 54*o.\nAnswer: 3*o*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 6 = 4*a, 3*a - 6 = 2*i - 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(400\/(-60)) + (1 - (-9)\/(-10)). Let y = 0 - -4. What is the closest to p in 1, 0, -3\/5, y?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26116 - -26112. Let t(w) = 4*w**3 + 2*w**2 + w + 2. Let y(b) = -7*b**3 - 5*b**2 - 3*b - 5. Let j(q) = -5*t(q) - 3*y(q). Give j(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-11 + -1)) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 8, 5, -3, 2\/21, -0.1, -14 in decreasing order.\nAnswer: 8, 5, 0.1, 2\/21, -0.1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2920 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 5*c + 4, 5*h - 376*c + 5 = -377*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7\/6, -1, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = q - 6*q - 82, 0 = -f + 4*q - 15. Let t = f + 43. Solve 0*z + t = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.035 to one decimal place.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*u - 13 = -h + 75*u, 4*h + u = -8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**5\/5 + 1884*g**4\/5 + 76576*g**3\/5 + 610224*g**2\/5 + 929152*g\/5 = 0?\nAnswer: -427, -34, -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w + 3*b, -161*b + 165*b = 0. Solve g - 2*o = -w, 4*g - 7*o = -3*o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l*n**2 - 16*l*w + 2*n**2*w + 49*n**2 wrt w?\nAnswer: -16*l + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8486602, 16973190, 25459778, 33946366?\nAnswer: 42432954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -124277.855 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/643? (a) 0 (b) -2\/7 (c) -3\/2 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3612 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022281813 times 11?\nAnswer: 0.245099943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 18*y**2 + 21*y - 140. Let m be o(-16). What is the highest common factor of m and 1206?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: -47 + 55 + (3 - 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**5\/4 - k**4\/12 - 19*k**3\/3 - 42*k**2. Find the first derivative of c(n) wrt n.\nAnswer: -30*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2153407 or 2153409?\nAnswer: 2153409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c)**(-31))**(-2\/15) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.62700581 rounded to 4 dps?\nAnswer: 1.627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 10) to base 7\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + z + 15 = 0, -5*f = -0*f + z - 81. What is the remainder when 44 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from aaaaaaaxxxa.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 8*b + 12. Let y be d(-7). Let h = -3 + 12. Suppose -16 = -u + y*s, -2*u + 5*s = -8 - h. What is the second smallest value in -1\/9, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/87869 or 1?\nAnswer: 2\/87869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1009\/2510 + 1\/502. Which is smaller: r or -1.64?\nAnswer: -1.64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 13*r - 15*r + 4*j, 0 = -3*r - 4*j + 70. Calculate the remainder when 39 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1130*o - 1129*o + 3404*o - 1124*o.\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -201 + 315. Let a(y) = -6*y + p - 219 + 114. Let t(d) = d + 1. Let b(h) = -a(h) - 3*t(h). Let k(n) = -n. What is b(k(c))?\nAnswer: -3*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1520147 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07661 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2257042?\nAnswer: 2, 1128521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 6. Let p = -10 + 8. Let n be 0\/((h\/p)\/(-1)). Which is the third biggest value? (a) -1\/5 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3280446553 to the power of 1\/2, to the nearest integer?\nAnswer: 57275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.16428 - 0.26428. Suppose 0 = v - 4*i - 10, -3*i = -4*v - 2*i - 20. What is the closest to 4 in -0.4, -0.2, v, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 + 2.12. Let f = -2 + l. Sort 5\/4, 4\/7, f in decreasing order.\nAnswer: 5\/4, 4\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 1. Suppose -13 = -3*a + 5. Let p be x(a). Suppose -p = -2*t + 15. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -27, -2, 5 in decreasing order.\nAnswer: 5, 0, -2, -6, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/12 + v. Let z(y) = 31*y**2 - 3*y + 6. Let b(m) = 63*m**2 - 5*m + 10. Let x(r) = 3*b(r) - 5*z(r). Determine c(x(n)).\nAnswer: 1156*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - ((sqrt(70) + 2*sqrt(70))*5 + sqrt(70) - sqrt(70) - sqrt(70)))*4)\/(sqrt(490) - 2*sqrt(490)*-3).\nAnswer: -52*sqrt(7)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1510 + 2017 - 5280 = -111*n. Is 72 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 + 98. Let p be ((-2)\/(-2))\/(f\/(-32)*2). Solve -15 = p*w - 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 0.7 (b) 78 (c) -0.5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (18\/8)\/((-161)\/14*150\/95) and -131\/1380.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110011011110100001011010 + 100?\nAnswer: -11110011011110100001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-740)\/3420 + 4\/38. Sort 1\/24, 6, x, 3, 0 in ascending order.\nAnswer: x, 0, 1\/24, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -4. Suppose 4*c = 3*t + 344, -4*t - i = -t. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2 + -2.15. Round l to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + 102421112?\nAnswer: 102421145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 12*b + 27. Let k be p(-11). What is the highest common divisor of k and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.03286 grams to milligrams.\nAnswer: 4032.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/5 and 14\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + -168. Let v = i - -351. List the prime factors of v.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.02471485, -0.1, -0.12, 2?\nAnswer: -0.02471485","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370 + 0*c**2 + 113 + c**2 - 182.\nAnswer: c**2 - 439","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uull when four letters picked without replacement from lullluul?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q - 7. Let y be p(5). Let f be (y\/55)\/(1\/5). Suppose 0 = f*h - 6. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25233 = -7*t - 17768. Is t*(6 + 21\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339527667939 take away 0.19?\nAnswer: 339527667938.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1924196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 4. Let i be x(-6). Let u = i + 2. Let s(m) = m**2 + 1. Let n(h) = h**3 + 2*h**2. Let p(l) = n(l) - 2*s(l). Calculate p(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l**2 - 4*l - 4. Let o(w) = -10*w**2 + 5*w + 5. Determine -4*o(c) - 5*p(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34*(-92)\/(-15640)*-65.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(28)\/sqrt(4))**2 + (sqrt(448) - (sqrt(448) - (sqrt(448) - sqrt(448)*-2))) + -2 + sqrt(77)\/(sqrt(44)\/sqrt(4)*1).\nAnswer: 26 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1, -13 in descending order.\nAnswer: 4, 1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*b - 85*b - 2*k - 19390, -5*b + 48475 = -k. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1647635 and -0.23486624?\nAnswer: 0.39962974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 1 + 2*w**4 - 3*w + w**2 to the form k*w**2 + j*w + i*w**4 + v*w**3 + y and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4, -5, -2\/3, 13771, 0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + -4*((sqrt(152) + sqrt(152)*-4)\/sqrt(8) + 5*(3 + sqrt(19)))).\nAnswer: 48*sqrt(19) + 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/43)*f**(1\/45))\/(f**(-2\/47)\/(f\/(f*f**(-1\/8)\/f*f))) assuming f is positive.\nAnswer: f**(882553\/727560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 2020?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -42.044 - -9750\nAnswer: 9707.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.319 to 2 dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -16. Suppose 77 = 5*v + 3*n, 0*v - 3*v + 4*n + 52 = q. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + a + 0 + 1. Suppose 7 - 27 = 2*b. Let f = b + 13. Let r(v) = 2*v. Determine f*r(q) - 2*z(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 2, m: 1, x: 4}. What is prob of sequence xvx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 92286588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*r + 303261 - 303597 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 0 + 1\/3. Let p = 88273\/5 + -1500651\/85. Which is the biggest value? (a) p (b) s (c) 0 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 767 in -5, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -6)*(-1)\/(-2). Let r(g) = -g**l - g - 7*g + 4*g**2 - 9 - 12*g**2. Is r(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = r + 9, r + 5 = 6*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wffwfkffwffkw. What is prob of sequence ww?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 299858580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + k + 94 - 133, -3*m + 111*k - 114*k = -63 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f - 1. Suppose 3 = -v + 5. Is j(v) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 625\/35 + (-1)\/(-7). Suppose 8*l + q = 2*l. Let o be (-188)\/(-4) + l - -1. Calculate the greatest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(3 + -1) + 93636\/(-18). What is l rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y. Suppose 4*l + 15 = 75. Let x(h) = l*h + 6*h - 15*h. Give 5*w(z) - 2*x(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 98. Let w(q) = -2*q**3 - 4*q**2 + 5*q + 11. Calculate the remainder when v is divided by w(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3463210?\nAnswer: 2, 5, 346321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(209) - sqrt(209)*4*-5))\/(6*(1*sqrt(99) - sqrt(99)) - sqrt(99)).\nAnswer: 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p + 30*p + 11 = -3*r, -1 = -r + 5*p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t + 2. Let z be s(-2). Suppose -14 = 6*a - 38. Suppose 55 = 5*p + 4*j - 9*j, -a*p = 3*j - 51. Calculate the highest common divisor of z and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3676.9 + 3169. Let n = b - -508. Is n smaller than 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.041, 0.5, -1\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/5 (c) -60.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-40))\/((-4)\/(-24)*-3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 2*a**6\/15 - a**4\/6 - 5*a. What is the third derivative of j(d) wrt d?\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from {e: 5, r: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 95*v - 86*v - 972. What is the smallest common multiple of v and 236?\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -203\/107899 - 2\/577. Let x = l + 240\/9911. Let g = 95\/583 + x. Which is the nearest to 1? (a) g (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 53. Suppose -2496 - 1339 = f*x. Round x to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 872522, 872528, 872534, 872540?\nAnswer: 872546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 q, and 2 l when four letters picked without replacement from qqlljqqlqlllqiqq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -19\/3*f**3 + 23\/15*f**6 + 0*f**4 + 2*f + 0*f**2 + 0 + 0*f**5. What is the second derivative of c(t) wrt t?\nAnswer: 552*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.358+1296.9158372\nAnswer: 1297.2738372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, -362, 1 in descending order.\nAnswer: 5, 1, -11, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -165121, -165122, -165125, -165130, -165137?\n\"Answer: -w**2 + 2*w - 165122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56\/126 + 16\/(-36). Suppose 2*f + 2*p - 2756806 + 662808 = y, -3*f = -3*p - 3141003. What is f rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*p - 6, 2*o + 6 = -5*p + 15. Put -79, -5, o in ascending order.\nAnswer: -79, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11914+5557\nAnswer: -6357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12122 - -4?\nAnswer: -12113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 356 - 254. Let c = -96 + b. Suppose 56 = 4*q - 4*r, 0 = q + 4*r + 2 + 9. Solve c*j = 3*j - q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -675 + 687. Let x be a - (8 - 18\/9). Solve 4*d - x + 0 = -v, -2*v = 3*d - 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -347\/8 - -183\/4. Let t = -2\/1387 - -12491\/5548. Let g = t - d. What is the closest to 0 in 0.5, -0.6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 16. Solve 0*m = 2*m - t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*i + 326*i - 607*i + 20*i**2.\nAnswer: 20*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-910))\/(-2*(-5)\/(-35)).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -578 + 594. Suppose 35*f - 17136 = -d*f. 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 r be (-1 + -3)*5 + 2. Let m = -8 - r. Suppose x + x - m = 0. Solve -3 = 3*q - x*u + 7, 3*u = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:39 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1845 - 1823. Solve -t*f - 17 - 5 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42574 is divided by 222.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 4223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 - 87*y + 35)*(4 - 3 - 3)*(-y + 4*y - y) in the form l + n*y**2 + i*y and give n.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-5)\/3)\/((-23)\/(-138))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/4 + i**3\/3 - i**2\/2 - 12*i - 5. Calculate g(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (163376 - 163376 + 3137*b)*(-1 + 3*b + 0 + 0) to w*b**2 + j + i*b and give w.\nAnswer: 9411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3934769 and 16201990?\nAnswer: 275433830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36719360897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2\/5 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12443356 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33, -47, -37, 9, 103, 257?\n\"Answer: 2*p**3 - 28*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 1. Let g be w(0). Let h be (2\/4*g)\/2. Let k = -1.0509 + 0.0509. Which is the closest to 0.3? (a) -2 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1085 and 2945.\nAnswer: 20615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -40\/449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162978.\nAnswer: 2, 3, 23, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79783.85 litres to millilitres.\nAnswer: 79783850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*s**2 + 3)*(0 + 0 + 1)*(-33 + 34*s + 33).\nAnswer: 68*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1047 and 23261548.\nAnswer: 69784644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -31*u - 24. Let a be q(-1). Suppose a*g + g = 0. Factor g*h**4 - 1\/4*h**5 + 0*h**2 + 0 + 1\/4*h**3 + 0*h.\nAnswer: -h**3*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17597 is divided by 4399.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -837*a + 872*a = 0. Solve -2*r = 4*u + 6, -u - 13*r + 17*r - 6 = a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-8))\/(g*g\/((g\/(g*(g*g**(-2\/5))\/g*g)*g)\/g)))\/(g**(-6)*g\/(g*g**(-3\/4))))**(-5) assuming g is positive.\nAnswer: g**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -14024.7 to the nearest 100.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**6*b))\/(b\/b**(2\/15))*(b\/(b\/b**(2\/13)))\/b**(-13))**3 assuming b is positive.\nAnswer: b**(1421\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/64017 and 49\/348087.\nAnswer: 7427828493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/16)\/((-135)\/(-36)). What is the fifth biggest value in -2\/197, n, 9\/7, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*c + 6 - 23, -2*g - c = -7. Suppose -g*z + 240 = 2*w, -9 = 6*w - 3*w. Let x = -78 + z. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b + 63. Let q be h(-14). Let n be q\/2*1100\/(-35). What is the greatest common factor of n and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0 + 2. Let d(g) = -2*g - 2 + g**k + 2*g**2 + 5*g. Let v be d(-6). Calculate the greatest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 9.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 109288499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*h + 80 + 13. Suppose 0 = 22*l - h*l. Let z = -8 + 4. Sort 2, z, l in decreasing order.\nAnswer: 2, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 46. Which is the nearest to 2? (a) 1\/3 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 11 + (62 - 40) + 0?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.114 or 30?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*k + 99\/5*k**3 + 0 + 102\/5*k**2 - 1\/5*k**4.\nAnswer: -k*(k - 100)*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - q - 1. Suppose -9*p + 106 + 326 = 0. Suppose -l + p = 5*l. Calculate the smallest common multiple of n(2) and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31140510 divided by -4\nAnswer: 15570255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15020782 or -15020783?\nAnswer: -15020783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 8, -741788, -1 in increasing order.\nAnswer: -741788, -11, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -36. Let m be 3\/(j*(-1)\/5). Suppose m*c - v = 1417, c + 3*v - 479 = -0*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5284*a**3 + 20*a**2 + 3*a + 10. Is n(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.770595 meters?\nAnswer: 6770.595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -11037*g**3 + 6*g**2 + 730*g + 2919. Is n(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6643604.\nAnswer: 2, 11, 150991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, m: 8, k: 1, s: 2, j: 2}. Give prob of sequence ssjy.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1100) - (sqrt(132)*-2)\/sqrt(12).\nAnswer: -1 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - 63. Let g be 0 - ((-1 - h) + -6). Solve -v - 3*d - 9 = -g*d, d = 4*v + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 613, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 5*s**3 - 5*s**2\/2 + s + 304. Let h(q) = -13*q**2 + 5*q - 1. Let g(m) = 7*h(m) + 6*j(m). Give g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uusfuuusuufuffffnffu. What is prob of sequence sfs?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 - -158. What is the remainder when n is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1053 and 1781?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 2*g + 13 - 24)*(8*g**4 + 7*g**4 - 16*g**4 + (-2*g**2 + 2*g**2 - 5*g**2)*(2 - 2 - 5*g**2) + (4*g - 3*g + g)*(-4*g**2 - 2*g**3 + 4*g**2)).\nAnswer: 40*g**5 + 60*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = q + 46, 23*j + 2*q - 6 = 23*j + 3*q + 40 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2. Let b(p) = p**2 - 60*p. Give b(x) - 3*o(x).\nAnswer: -2*x**2 - 60*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = n - 4. Solve -n - 5 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 9\/14, -21, 33 in ascending order.\nAnswer: -21, -1\/3, 9\/14, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*s + 6, g - s - 1 = 2. Suppose 36*f**g - 2*f**5 - 11*f**4 - 7*f**4 + 5*f**5 - 24*f**2 + 0*f**4 = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60946*t**4 - 121*t - 61035*t**4 - 468*t wrt t?\nAnswer: -1068*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 616556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10902 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/48 - 5\/16. Let c = -77 - -76. Sort c, w, -2\/5 in decreasing order.\nAnswer: w, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4057 - 32537\/8. Let z be 62439\/(-240) - 1 - 2. Let j = 1323\/5 + z. Find the common denominator of o and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -4c94aa?\nAnswer: -4c94ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 111*p - 10. Let y be j(-13). Solve -1598 = 2*k - y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 50. Suppose -i*g - u + 21 = 2*u, 5*g = -4*u + 35. What is the fourth smallest value in -1\/12, -4, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 2*o - 34. Let c be s(7). Calculate the highest common divisor of c and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 1, n: 6, s: 2, u: 2}. What is prob of sequence uhn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.75 + 1.7500455. What is c rounded to 6 decimal places?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1180584 (base 9) to base 3.\nAnswer: 1012200122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -12*t**5\/5 - 10*t + 16. Differentiate a(d) with respect to d.\nAnswer: -48*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3\/17 - 266298*h**2\/17 - 8861264880*h\/17 + 203949988216\/17 = 0.\nAnswer: -66586, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 16*y = 136. Suppose 0 = -29*l + y*l - 340. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4731279 (base 12) to base 7.\nAnswer: 224605455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4077.08nm?\nAnswer: 0.00000000407708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**3\/3 + 3464*z**2\/3 + 1601615*z\/3 - 535026 = 0.\nAnswer: -414, 1, 3877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50053 - 50074 + 149342 + 34*c - 49853)*(-3*c**3 + 2*c**3 + 2*c**3).\nAnswer: 34*c**4 - 638*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 6. Let w be u(3). Suppose 6 = w*a - 3. Solve 2*t - c = 9, 21 - a = 2*t - 4*c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728687454 to the power of 1\/3, to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*c + 0*c + 24*c**2 - 2*c)*(-16*c - 15*c + 43*c).\nAnswer: 288*c**3 - 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4 + 30*s**3 + 69*s**2 + 36*s = 0?\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 298, -1, 1, -282 in descending order.\nAnswer: 298, 1, -1, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -167, 6, -3\/4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 32 - 0 - (-24 - (-28 - -9)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 less than -51518082705?\nAnswer: -51518082640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 16*q - 35. Let c be x(-11). Suppose -2*m - 5*z = -450, 2*z - 712 + 48 = -3*m. Calculate the highest common divisor of c and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t + 407 = 1387. Let s be 46\/(-5)*13\/(-104)*t. Solve -s - 17 = -8*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d + 2*d)*(-d**2 + 2*d**4 + 5 + 24 - 18).\nAnswer: 4*d**5 - 2*d**3 + 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and 0.2555.\nAnswer: -0.043435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -u - 5*g, 5*g = 5*u - 2*u + 111. Let c = u - -6. Let x be (6\/(-1))\/(c\/48). What is the greatest common divisor of 16 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420 is divided by 82.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 58*q - 1089. What is r(19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20644, -41294, -61956, -82636, -103340, -124074, -144844, -165656?\n\"Answer: -a**3 - 20643*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**3 + 4572*z**2 - 31776*z - 36352 = 0?\nAnswer: -1, 8, 1136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/(-90))\/((168\/320)\/7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ac4c4 - 3c?\nAnswer: ac485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 142*d**2 - 88*d + 3606. Give v(-70).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120140 and 661?\nAnswer: 79412540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665320 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104239840 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 190*t**2 + 3297*t - 8208.\nAnswer: (t - 171)*(t - 16)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i. Let f(j) be the first derivative of 0*j + 31\/3*j**3 + 168 + 0*j**2. Determine f(n(h)).\nAnswer: 496*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**4 + l**2 - 2*l - 1. Let r(t) = -56*t**4 - 25*t**3 + 5*t**2 - 4*t - 72. Let w(q) = 2*p(q) - r(q). What is the third derivative of w(v) wrt v?\nAnswer: 1152*v + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07068251729 rounded to 3 decimal places?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.2 - 17. Let t = -0.3 + -0.2. Let x = 1093 + -1093. What is the closest to x in t, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 10:54 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3)\/((-2)\/(-6)). Let c = 0.86 - 1.1. Let p = -0.06 + c. Which is bigger: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 9 + (-40)\/(-30)*-6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -115491168\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - 16*v**2 + 1 + 2*v - 1 to h*v + o*v**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 57\/5, 1\/2196, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1638040902.\nAnswer: 2, 3, 449, 608033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581722462.\nAnswer: 2, 2617, 111143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 26 = 4*w + 5*r, 6 = 3*w + 3*r. Suppose -5*i = -2166*t + 2167*t - 12, t + 2 = 2*i. What is the greatest common divisor of w and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1601974 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 1 - -7)*1. Let n(x) = -x + 12. Let l be n(10). Find the third derivative of 21*v**3 - 2*v**l - u*v**2 + 19*v**3 - 26*v**3 wrt v.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 5*t - 5 = f, -3*t = 9. Let h be 6\/(-117)*(-6)\/f. Let m = 2 - 2.1. What is the closest to m in h, -4, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 4*d + 68, -4602*r + 62 = -4601*r - 4*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 9:22 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 36 = 5*m, -61*m - 3*u = -59*m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43147.65 millilitres in litres?\nAnswer: 43.14765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.236 + -19?\nAnswer: -19.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -9\/46 (b) -2 (c) 2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 3*z**2 + 6*z + 6. Let g be f(-5). Let d be 315\/(-18) + 2\/4. Let u = d + g. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 566.5182 micrograms?\nAnswer: 0.0000005665182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14253*j - 28075 = -19868*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (0 + -1))*0. Suppose q + 3*p = 3*q - 1102, m = p - 4. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + -0.1. Let v = 44059\/57 - 773. Let j = 71\/399 + v. What is the second smallest value in b, j, -3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 (base 4) to base 13\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n**(-3)\/n)\/n))**36)**(-7\/4))**12 assuming n is positive.\nAnswer: n**(-4536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 684.272 hours in microseconds?\nAnswer: 2463379200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 13*y - 1. Let s be g(7). Solve -24*t**2 - 12*t**3 - 2*t**4 - 86*t + 29*t + s*t = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80896 by 4.\nAnswer: -20224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010391131 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -2 (c) -3\/8 (d) -3\/2 (e) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*g + 2)*(2 + 4*g - 1 - g) in the form l + p*g + s*g**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 80 = -11*r. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300352752 divided by -14302512\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdr when three letters picked without replacement from {d: 2, r: 18}?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -433342 by -6.\nAnswer: 216671\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -836.\nAnswer: -2508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53.1 - -51. Let r = -0.1 - d. Let u = r - 0. Which is the second biggest value? (a) 0.3 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + -1. Let j(t) = -t - 12. Let y be j(s). Put 5, 3, y in decreasing order.\nAnswer: 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*h + 5*d, h + 2*d = 27 + 1. Does 8 divide (h\/6)\/((-5)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**9\/126 + 11*n**8\/168 - n**5\/20 - n**2 - 7. What is the third derivative of g(l) wrt l?\nAnswer: -480*l**3 + 1320*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 2*p, -2*p = 2*d - 10. Is d < 15\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -601b (base 13) to base 7\nAnswer: -53334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22164 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: What is the smallest value in -1264, -16, 10\/3, -1\/14?\nAnswer: -1264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 476922 and 4848.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 642*d**3 + 30987*d**2 + 359520*d + 940800.\nAnswer: 3*(d - 112)**2*(d + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 21 = -u, 2*t - 951 = -5*u - 900. Solve 0 = 4*c + 8, -3*i = -2*c + t*c - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -18*z. Let m(o) = -403*o**2. Calculate d(m(q)).\nAnswer: 7254*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 449860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49663 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b + 18*b - 4. Let j be (-5)\/(-20) + (-38)\/(-8). Put -4, b, j in descending order.\nAnswer: j, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 80527?\nAnswer: 9019024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*f + 12, -78*c + 3*f + 7 = -82*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 16 = -2*d. Let w be (-51)\/(-115) + 10\/d. Suppose -56*y = -27*y - 30*y. Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1062\/(-236)*2\/18)\/(1\/(-4)). Let x(h) = -2*h**3 + h**2 - 5*h + 11. Let o(c) = c**3 + 4*c - 11. Calculate b*x(z) + 3*o(z).\nAnswer: -z**3 + 2*z**2 + 2*z - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/12578 and -5\/228?\nAnswer: 75468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6 - 49\/33. Let a = -2 - r. Let w = 134 - 139. Put w, 2\/3, a in descending order.\nAnswer: 2\/3, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + u - 64 + 20 + 15 - 24.\nAnswer: u - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 14*x - 13. Let o be u(-15). Suppose f = -o*f + 150. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 39.5. Let i = 2.3 + u. Which is the closest to -1? (a) -0.5 (b) i (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2. Suppose -2*r + 10 - 2 = 0, -4*o - 4*r + 24 = 0. Let p(y) = o*y - 4*y + y. Calculate p(v(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o**2 - 5*o + 6*o + 5*o**2 + o - 6*o.\nAnswer: -10*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/3 + 13738*b**3\/3 - 47320172*b**2\/3 + 939971078*b\/3 + 1082055263 = 0. What is b?\nAnswer: -3, 23, 6859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-1))\/3 + (47 - 137)\/(-15).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*n - 0*n. Let a(m) = n*m - 2*m**2 + 2*m**2 - 3*m**2 - 1. Calculate a(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20808778.\nAnswer: 2, 883, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28805.\nAnswer: 5, 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14.38 and -2327033.\nAnswer: -2327047.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1887 and 166447.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/360 and 61\/2304.\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.1331797 years?\nAnswer: 0.0001331797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f**3 - 4*f**2 + 5*f**2 - 4*f**3 - 16*f**3.\nAnswer: 6*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/4*78 + -4. Let v = -47 - x. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 - (-158)\/(-6). Let b be (2\/4)\/(1\/v). Let t = 22 + b. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/60 + y**4\/6 - 5*y**3\/6 + 2*y**2. Let t = 37098 - 37094. Determine o(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191 or 364?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 5)*(-8 + 2*o + 8) to q + v*o and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y - 3. Let z(a) = 7 - 3 - 5. Let v(i) = -p(i) - 6*z(i). Let f(j) = -1766*j + 2 + 887*j + 880*j. Give -18*f(c) + 4*v(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1089, -2110, -3061, -3948, -4777, -5554?\nAnswer: -6285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = k - 405, -2*k - 2 + 112 = u. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 4*a + 8.\nAnswer: -4*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -6. Let k = 25 + -18. Let l = k - 11. Which is the smallest value? (a) l (b) m (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -819?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1174092 at least -1174455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -l - 3. Suppose -2*c = 2*s + l, 4*s = 2*s - 4. Let v(u) = -u**3 - 3*u**2 + 2. Let t be v(c). Solve b = -0*w + t*w + 8, -b - 5*w = 27 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + -57 + 87 + -33\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*c - 2. Let b(u) = c*u - 10*u - 2*u. Let t(z) = -4*z**2. What is t(b(j))?\nAnswer: -400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159, 4, 32, -2, -4, -3, 0.\nAnswer: -159, -4, -3, -2, 0, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -0.2, -15, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 7:54 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpbw when four letters picked without replacement from {p: 2, w: 3, g: 7, b: 1, x: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3686448 to the nearest integer?\nAnswer: 1920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.95619 from 60529.\nAnswer: 60528.04381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(19)*-2 - -4*sqrt(19)*1)*2)**2 + -5.\nAnswer: 4859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -20*k**2 - 4*k + 8. Let n(t) = 43*t**2 + 7*t - 16. Let s(l) = 2*n(l) + 5*p(l). Factor s(q).\nAnswer: -2*(q + 1)*(7*q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111211201001 (base 3) in base 12?\nAnswer: 1117a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1705860102 divided by -6\nAnswer: 284310017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 11 = -3*g. Let b = g + 40. What is the common denominator of (b\/(-4))\/((-5)\/30) and 11\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285031 is divided by 201?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.175 - -17.275. What is g rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*q + 5. Let s(x) = x**3 - 18*x**2 - 19*x - 4. Let a be s(19). Let b = q - a. Sort 4, 3, b in decreasing order.\nAnswer: 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55632 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.16 + 1.57. Let l = 11.73 - d. Let u = 0.1 - 0.3. Sort -1, -1\/4, u, l in decreasing order.\nAnswer: u, -1\/4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d**2 - d**2 - d - 4*d**2. Let n(c) = -9*c**3 - 13*c**2 - 8*c + c - 7*c + 3 + 9*c. Let y(u) = 2*l(u) - n(u). Let y(q) = 0. Calculate q.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67060159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p + 48. Let w = 8 + p. Let x = -5 - -7. Which is the third biggest value? (a) x (b) 1\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21.9 (b) 8 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/72)\/(-5)*(-147 - -139)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4661693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:57 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, m: 2}. What is prob of picking 4 s?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4 - 8*g**3 - 12*g**2 + 16*g + 16 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*u - 224, -2*u - 6 = -2. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**15*f**(-1\/11))\/(f**(-15)*f**(-1\/2)*f))**25 assuming f is positive.\nAnswer: f**(16175\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 449 * 632.66.\nAnswer: 284064.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0 - 1\/120*a**6 + 11\/60*a**5 - 4\/3*a**3 + 0*a - 11\/24*a**4 - 3*a**2. Is f(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 379148 divided by -19\nAnswer: -379148\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*w = -81*w - g + 10006, w + 5*g - 9986 = 0. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/54 and 89\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29383478\/195 - -150685. Let c = s - -4\/39. Let h = 432 - 429. What is the nearest to h in 1\/3, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n**3 + 6*n**3 + 12*n**3 - n**3 - 6*n**3 + 5*n**3 + (-1 + n**2 + 1)*(-2*n + 3*n + 0*n))*((0 - 2*n + 0)*(1 - 4 + 2) - 1 + 1 + n).\nAnswer: 30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (198\/(-264))\/(2\/(-2*2))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 4:24 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2849 or -360\/7?\nAnswer: -2849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllrllrhhllr. What is prob of sequence hll?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(2\/(-536)). Let h = t - 23. Factor -3*s**3 + 3 - 3 - h*s**2 + 114*s**2.\nAnswer: -3*s**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2987, 4427, 5867, 7307?\nAnswer: 8747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3963 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - c. Let x be i(2). Let m = -9 + x. Is (m\/(-9))\/((-2)\/(-132)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 less than 1113465?\nAnswer: 1113487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49306105?\nAnswer: 5, 9861221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -942 = 8*r - 2*r. Let f = 145 + r. Let z be (-4 - 55\/(-15))\/((-1)\/f). Let j(y) = 6*y + 3. Determine j(z).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 14. Let z = b - -4. What is the units digit of z\/(-21) + 138\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-552)\/(-1932)*1\/2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -35.99\nAnswer: 1.0797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {n: 2, h: 3, d: 6, v: 1, t: 1}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.28 - -0.28. What is the closest to 1 in -5, 0.3, h, -5\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 41058124564 and 1.7.\nAnswer: 41058124565.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3258385 is divided by 1086127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522 = -20*t + 718. Is 34 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*a**3 - 4*a**2 - 77*a**3 - 32*a - 64*a + 25*a**3 + 23*a**3.\nAnswer: a*(a - 12)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 1. Let x(t) be the first derivative of -t**2\/2 + t + 2. What is the units digit of x(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*t + 869, -4*x + 5312 - 1920 = 5*t. Let c = -435 + x. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19621 and -239?\nAnswer: 46.89419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8649 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15008 and 29316.\nAnswer: 15713376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2. Let g be (-24)\/(-45) - 1\/2. Let f(o) be the third derivative of 0 + 0*o**4 + o**2 + g*o**5 + 0*o + 0*o**3. Give n(f(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(468) + (sqrt(468) - (sqrt(468) - (sqrt(468) - sqrt(468)*-4)*6))))\/((sqrt(4)*5*5 - sqrt(4) - sqrt(4)) + -2*sqrt(4)*6).\nAnswer: 93*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15692836?\nAnswer: 2, 17, 89, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2. Let a(t) = 845320*t. What is c(a(n))?\nAnswer: 1429131804800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*g + 41*g - 45. Let d(r) = 0*r**2 + 7*r**2 - 5*r**2 + 17 - 14*r. Let h be d(g). Sort 0, h, -1, 3 in increasing order.\nAnswer: h, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*m**5\/5 + 544*m**4\/5 - 36*m**3\/5 - 2412*m**2 + 8100*m - 8100 = 0.\nAnswer: -5, 3, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbb when three letters picked without replacement from jcfjbjbbfj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znzz. What is prob of sequence nzzn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/98*6496\/464 - -9?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236 divided by 236.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j - 3. Let h be q(2). Suppose -h*m + 9 = 3*o, 2*o - 7*o = 5. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 516 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1351204813*c**2. Let h(d) = -d**2. Calculate o(h(r)).\nAnswer: -1351204813*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*t**2 + 112*t + 30.\nAnswer: 2*(t + 3)*(17*t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2\/9, 0.321, -9.5?\nAnswer: 0.321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5076698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.3, -24.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*h**3 + 8*h - 17*h**4 + 79*h**3 + 20*h**2 + 81*h**3 - 5*h**5 = 0. Calculate h.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5672 + -0.4328. What is the closest to 1\/2 in -23, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*y - 80 + 23, 4*i - 3*y - 47 = 0. Let r be i\/(3\/18*3). Suppose g = -3 + r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z + 115*z**2 - 7*z - 112*z**2 - 3*z**4 + 2*z**3 + 12*z - 1 + 2*z**4 as b + u*z**4 + o*z + y*z**3 + p*z**2 and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*s = -64*s + 15. Let a be s\/(-6) - 1945\/10. Round a to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z - 7 = -5*g, 0 = -g - z + 5. Let a(x) = 2 - x**g + 18*x + 2*x**3 - 13*x + 8*x**2 - x**2. Determine a(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 32. Let u be (-24)\/(-4) - (h + 0). Suppose 5*g - u*g = 87. Calculate the remainder when 84 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.58 + -33.42. Let q = 33.964 + l. What is q rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0.2747292\nAnswer: -2.2747292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40357375 by 13.\nAnswer: -40357375\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132\/137 + -929\/822. Suppose -5*n + 5*o = 9 + 11, 4*o - 15 = 5*n. Is n less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 1356750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 384*v**5*y - v**3*y + 2*v**2*y - 104*v**2 - v wrt v?\nAnswer: 23040*v**2*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 1. Let s be l(3). Suppose -5*h + 3 - 8 = -5*z, s*z = 16. Suppose -344 = -h*d - 14. What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 5. Suppose -2*h + 94 - 90 = 0. Let r(u) = 3*u**2 - 9 + 27 + 0*u**h. Determine -5*r(n) - 18*y(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 187, 5, 0.061, 6, -0.4, 4 in descending order.\nAnswer: 187, 6, 5, 4, 0.061, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*x = -27327 + 13487 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p - 1. Let d be h(3). Let i be 4 - (-3)\/(-12)*d. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15267 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -745745 + 0.\nAnswer: -745745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 38*g + 77*g)*(0*g - 5*g + 3*g).\nAnswer: -236*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 15 = -5*x, x - 2*t = 2*t - 3. Let n(z) = -14*z**2 + 2*z + 1. Let f be n(-1). What is the third smallest value in f, 1\/11, x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 111*n - 1. Let g(q) = -39746*q + 357. Let v(m) = -5*g(m) - 1785*h(m). Let w(i) = 2*i**2. Give w(v(r)).\nAnswer: 708050*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 349302103 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13463531 + 12?\nAnswer: -13463518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 6:35 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 23748002?\nAnswer: -23748001.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 259197?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from ttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6918033602 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 230031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q. Let z(u) = -3*u**2 + 6840*u - 7. Calculate z(n(c)).\nAnswer: -147*c**2 + 47880*c - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -345654263?\nAnswer: 345654266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n - 14. Let b(q) = 16*q + 70. Let t(o) = 2*b(o) + 11*v(o). Let c be t(-10). Sort 12, 1, c in increasing order.\nAnswer: c, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.019 + -0.235. Let k = 381.9665741 - 382.1826. Let c = k - v. Round c to six decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 1 = 2*w, -3*r = -5*r - 2*w + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.412\nAnswer: 2.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -5\/51962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let k(w) = w**2 - 7*w + 7. Let d be k(6). Let i(y) = -36*y**2 + 27*y. Let x(t) = t**2 - t. Let u(o) = d*i(o) + 27*x(o). Give u(p(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in years?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sszstsssszsisdsd. Give prob of picking 1 t, 1 d, and 2 s.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573877 less than or equal to 1573876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 6*h**2 - 6*h + 7. Let g be p(-7). Solve g*j + 4*j - w = 20, -5*w = j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - ((-8 - -30) + -45)) + 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2672 = -4*h. Suppose 5*v + 307 = h. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u + 2*u)*(-2 - 1 + 0 + 2 - 1 + 1 - 4 + 5 + 1 + (-1 + 3 + 0)*(5 - 1 - 2) - 1 - 1 + 4 + 0 - 2 + 3 - 1 - 2 + 4 - 4 + 0 - 1 - 1 + 3 - 1).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-3) + 0 - (-8 + 8). Suppose v - 5*o = 24, j*v - 17 + 1 = -o. Which is bigger: v or 46\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3\/13 - 5224*g**2\/13 + 3416490*g\/13 - 6812100\/13 = 0?\nAnswer: 2, 1305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2253\/4 or 563?\nAnswer: 2253\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 22 + 33 - 12 + 9*d**3 to the form j + x*d**3 + q*d + r*d**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**2\/2 - 14*h - 3. Let b be a(11). Sort b, -4, -1 in increasing order.\nAnswer: -4, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99, -145, -195, -249?\n\"Answer: -2*q**2 - 40*q - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -73507.8294 and -0.4.\nAnswer: 29403.13176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/77?\nAnswer: -4\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (28 - 19 - (10 - (1 + -1)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4693 - 4785. What is the closest to -0.04 in 0, -5, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t. Let g(o) = o**3 + o**2 - 21*o - 2. Let a be g(-5). Let d(w) = -9*w. Give a*d(k) - 7*c(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6202?\nAnswer: 2, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2. Let d be (9 + -9)\/((-4)\/2). Let l(f) = -f + d*f + f - f**2. What is z(l(x))?\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17894 and 1058?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 8:36 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (-175)\/(-21))\/7.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b6d8 (base 14) to base 16.\nAnswer: -3ff9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2736)*-2 + -2) + (-4*1*sqrt(2736) - ((2*sqrt(2736))**2 - sqrt(2736))*1))*-5.\nAnswer: 540*sqrt(19) + 54750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 23, 47, 77, 113?\n\"Answer: 3*t**2 + 9*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1509 or 31658\/21?\nAnswer: 31658\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3121 - 3123. Which is the nearest to x? (a) 0.072 (b) -3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = q + 3*l, 6 + 6 = 5*q - l. Suppose -o - 13 = -q*p, -9*o + 4*o = 4*p - 30. Solve -11\/5*j**4 + 7*j**3 + 1\/5*j**5 + 0*j + 0 - 5*j**o = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 442*k**3 + 4196*k**2 + 11480*k + 9712.\nAnswer: 2*(k + 2)**2*(221*k + 1214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and -14.4?\nAnswer: 172.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by (39\/(-12))\/(2\/(-8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpyy when four letters picked without replacement from gypygfggygpyfypgg.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 - 130. Let t(d) = d**2 - 3*d - 7. Determine t(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-249) + 1982880\/415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + r**2 - 3*r + 4. What is the remainder when o(2) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 839, 6777, 22901, 54299, 106059, 183269?\nAnswer: 291017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 434? (a) -4 (b) -0.5 (c) -1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*x + 229*x = -675 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 = -10*u + 3509. Let k = u + -167. What are the prime factors of k?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(156)*-1)\/(sqrt(300) + (sqrt(300) - (sqrt(300) - sqrt(300)*1)*-2))*-6.\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -5*b**8\/14 - b**4\/6 - b**2\/2 + 9*b. Find the third derivative of w(a) wrt a.\nAnswer: -2400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2, 38.72967?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8553.65 centuries in millennia?\nAnswer: 855.365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17987.74 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7112720 and 39810.\nAnswer: 21338160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 15) to base 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 842\/4631 - ((-219)\/6)\/((-44)\/(-26))?\nAnswer: 87\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 21*b - 85. Calculate the remainder when o(9) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3293.29 + 3278. Let a = v + 0.29. Let s = a - -12. Which is smaller: s or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -3*g - 5*c - 0*c, -5*g + 190 = -4*c. Suppose 0 = -2*y + g - 2. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) - (sqrt(40)\/(sqrt(8)*2 + sqrt(8)) + sqrt(5))).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -213969522.\nAnswer: -213969521.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((4\/(2\/1))\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 10. Let f(z) = 2*z. Give j(f(o)).\nAnswer: -2*o - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 336 + -328. Let s(i) = 6*i**2 - 46*i - 10. Calculate the remainder when 21 is divided by s(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127512?\nAnswer: 2, 3, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 1\/9*a**3 + 1\/36*a**4 + 0*a**2 + 0 - 37*a. Solve v(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 49. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7307889838.\nAnswer: 7307889835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 85 = n. Let r be (-2)\/(-8) + (-60)\/(-16). Suppose 0 = -3*f - x, 10*x = 2*f + 15*x + 26. Put r, n, -1, f in decreasing order.\nAnswer: r, f, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 + 14*t + 20. Calculate the least common multiple of 192 and r(4).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*t + 183168 = -383179, -10 = -5*t. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5277960.\nAnswer: 2, 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + 2 - (8 + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -2dc621e?\nAnswer: -2dc6212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 58102, 116310, 174550, 232840, 291198, 349642, 408190, 466860?\n\"Answer: 3*r**3 - 2*r**2 + 58193*r - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 473.75, 9\/5 in decreasing order.\nAnswer: 473.75, 9\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 340015\/32 - 10625. What is the common denominator of -37\/1694 and v?\nAnswer: 27104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.51 + -0.84. Let u = -0.0495 - -0.0195. Let m = d - u. Which is the closest to 0.05? (a) m (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 715.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 13*z - 9. Is f(3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*f - 171. Calculate the greatest common divisor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 13*g**2 + g + 13. Let o be y(-17). Suppose -6*l + 9*l - o = 0. Suppose -l = -7*c + 428. Is c a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - 30*m**2 - 2*m + 36. Give t(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 1 (b) -0.11 (c) 218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 753\/28 smaller than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 12:30 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-262*f + 11*f**4 + 262*f)*((-2 + 2 - 3)*(0*f + 0*f + f) + 0 + 2*f + 0).\nAnswer: -11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 162*f. Let v(c) = -3*c. What is m(v(o))?\nAnswer: -486*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 3, 25, 77, 171?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(143) - (sqrt(143)*-2 + sqrt(143)))*-3)\/(sqrt(77)\/((sqrt(700) - (sqrt(700) - -2*sqrt(700))) + sqrt(700))).\nAnswer: 300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, -4, -1\/11, 2079, -1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -105.\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -52*j**5\/5 + 944*j**4\/5 - 3524*j**3\/5 + 104*j**2 = 0. What is j?\nAnswer: 0, 2\/13, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*v = -183*v - 3283431. List the prime factors of v.\nAnswer: 64381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -173, -1383, -4647, -10985, -21417, -36963?\n\"Answer: -170*q**3 - 7*q**2 + q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3566 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33005*o*z**3 + 675*o*z**2 + 2*o - 4*z**6 - 10*z - 2 wrt z.\nAnswer: 198030*o - 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let q = -0.9 + a. Suppose -3*g + 6*g = 0. Sort g, q, 2 in descending order.\nAnswer: 2, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 53. What is the smallest value in 3, q, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 13*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**3\/3 + 2*w. Let j be n(1). What is u in -2 + u - u**j + 2*u + 0 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*v**3*y + 345802722*v**3 + 426723*y**2 wrt y?\nAnswer: -11*v**3 + 853446*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**6\/30 + j**5\/5 - 8*j**3\/3 - 8*j**2 - 2*j + 5. Factor q(n).\nAnswer: (n - 2)*(n + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.44874?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 7*g**2 + 2*g - 9. Let w be p(7). Let q be (-92)\/w + 10\/25. Let j = q - -58. Calculate the highest common factor of j and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29488\/(-4656) + (-16)\/(-3) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 7*z = -54. Let d(c) be the second derivative of 5\/12*c**4 - 2*c**2 + 0*c**z + 5*c + 0. Differentiate d(j) wrt j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 1646, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 8*r - l = -1, 16 = 2*r - 5*l. Suppose 0 = -s + 4*a + 180, r*a + 40 = s - 138. List the prime factors of s.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 8:38 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 16*m**2 + 42*m - 2. Suppose 2*o - 9 = -u, 5*u - o - o = 57. What is the thousands digit of f(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*c + 2 = 2*c, -2*c = s + 7. Let d be 0*(s - 2)*-1. Solve 0 = q + 3*y + 1, -5*q - y + 3*y - 22 = d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 105 - 14 - 45 + 4*n - 11*n - 26*n.\nAnswer: -33*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 5. Let n be g(3). Suppose -2*y + 6*z - n*z = 24, -5*y - 4*z = 18. Let u(q) = q**2 + 3*q + 15. Is u(y) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1608.\nAnswer: -1\/536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31797, 35798, 39799?\n\"Answer: 4001*o + 27796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -821*h + 210*h + 200*h + 210*h + 203*h. Let q(n) = -1449*n**2. Give x(q(k)).\nAnswer: -2898*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 6*d**2 + 3*d - 8. Let q(v) = 5*v**2 - v. Suppose 3*y - 6 = 3*k, -2 = 5*k - 3*y + 6. Let u be q(k). Give g(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 5*d**2 - 3*d - 14. Let p be s(6). What is the derivative of -39*g + 30*g**p + 13*g + 26*g + 29 wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.92 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**3 + i. Let q be j(1). Suppose 0 = -2*a - q, 864 = 5*d - 0*a + 4*a. What is the highest common divisor of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 + -39. What is the lowest common multiple of s and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41103 is divided by 512.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.27938 * -2\nAnswer: 0.55876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -562496351*b + 271253795?\nAnswer: -562496351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122967, 122743, 122149, 121005, 119131, 116347, 112473, 107329?\nAnswer: 100735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819*f = -842*f + 230 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1\/(-15))\/(135\/450)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*q = -27, -2*q - 6 + 0 = -3*n. Let i = -3.3 + -0.7. Let y = 9 + i. What is the biggest value in y, -4, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (17\/(-4))\/(2\/(-8)). Suppose -v + k + 1 = 0. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 179*f + 7990.\nAnswer: (f + 85)*(f + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*j - 32 - 102, 4*j = -c + 59. Calculate the highest common factor of c and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -535, -4592, -15607, -37060, -72431, -125200?\nAnswer: -198847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5390086045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 1044411?\nAnswer: -1044403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10 + (-18)\/5. Which is the biggest value? (a) -2 (b) i (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 108 = 27. Suppose 5*k - 13 = l. Suppose -2*x = 6, -q + 0*x + 2*x + k = 0. 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 l be (-47)\/(-7) + (-4)\/(-14). Let h(z) = 213375*z + 0*z**2 + z**2 - 213376*z. Let g be h(l). What is the highest common factor of g and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Suppose 6 = -x + v*x. Factor -5*o**4 - 3*o**3 + 3*o**2 + 3*o**4 + x*o + 3*o**4 - 4*o**4.\nAnswer: -3*o*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6087895 - -0.5.\nAnswer: 6087895.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 + 7*p - 3. Let u(c) = -47 - 3*c - 3*c**2 + 50 - 3*c. Calculate -4*q(f) - 5*u(f).\nAnswer: -f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -3, 1, -11, -45?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, h: 1, m: 2, f: 5, d: 2, n: 1}. What is prob of picking 2 d and 1 x?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**3 + 73*t**2 + 652*t + 584. Let c(d) = 14*d**3 + 218*d**2 + 1954*d + 1750. Let k(n) = -3*c(n) + 8*z(n). Factor k(r).\nAnswer: -2*(r + 1)*(r + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 7*u**2 + 10*u + 39. What is o(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7624 or 7618?\nAnswer: 7624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -m - 1. Suppose -5*k + 5*w + 205 = 0, 0*k + 4*k = m*w + 160. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 = -o - 5*v, -5*o + v - 2 = 0. Let z = 35 + -38. What is the third smallest value in 5, o, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*i + 31*i - 7 + 19 - 12 to z*i + r and give z.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.067 + 3.067. Let m = -0.63 - 2.37. Which is the biggest value? (a) -2 (b) m (c) x (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41621182?\nAnswer: 2, 241, 86351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1022, 8812, 29956, 71132, 139018, 240292, 381632, 569716?\n\"Answer: 1113*p**3 - p**2 + 2*p - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 3*z + 0*z + (-46085 - 2130*z + 46085)*(6 - 2 - 2)*(-1 + 1 + 1) as n*z + p and give n.\nAnswer: -4259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 906?\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**7\/420 - 13*v**4\/24 - 3*v**2. Let u(f) be the second derivative of c(f). Let w(g) = g. What is u(w(l))?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -70*m - 2098. Determine b(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2360*w**3 + 3*w**2 - 34*w - 70.\nAnswer: 14160*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*y = -155, 2*z - 6*z + 151 = -y. Let p = -33 + z. Suppose -p*l = i - 86, -l = -0*i - 4*i - 34. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.8*-15.1853.\nAnswer: 558.81904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + 9*w + 12. Let q be b(-2). Solve q*h = 10*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -9*a - 3*v + 762, -2*v = 3*a - 766. Find the third derivative of -a*h**4 + 8*h**5 + 262*h**4 + 3*h**5 - 51*h**2 wrt h.\nAnswer: 660*h**2 + 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1194*j**3 - 600*j**3 - 617*j**3.\nAnswer: -23*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 145*d - 8978. Determine j(68).\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*f**3*q - 21405805*c*f*q - 269*f**3*q - 38663*f**3 wrt c.\nAnswer: f**3*q - 21405805*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1056, -2115, -3174, -4233, -5292, -6351?\nAnswer: -7410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 9150*s - 136575.\nAnswer: -3*(s - 3035)*(s - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20625)\/(-77847) + (-20)\/70. Is i >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8236063.\nAnswer: 11, 19, 157, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -10174 greater than or equal to -10276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.131, 1\/2, 4.4, -1727, 0.4 in increasing order.\nAnswer: -1727, 0.131, 0.4, 1\/2, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -46*u**5\/3 - 44*u**4 + 144*u**3 + 1004*u**2\/3 + 138*u - 24 = 0.\nAnswer: -4, -1, 3\/23, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4. Suppose 2*x - 276 = -4*f + 6*x, t = -x. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*n - 27, -5*y + y = 5*n - 33. Let i(a) = -4 - 11 + 163*a - y. Is i(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 0*c - 60. Suppose 3*g - 2 = g. Let q = 11 + g. What is the greatest common factor of c and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -955 + 4235. What are the prime factors of n?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**2 + 2. Let n(b) = 3*b. Give w(n(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -82\/70511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3 - 5073*t**2 + 1029378*t + 1034448 = 0.\nAnswer: -1874, -1, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.48 (b) 3 (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (9 - (-6 + 2 - 4))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32911, 32908, 32909, 32914, 32923, 32936?\n\"Answer: 2*r**2 - 9*r + 32918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 110032?\nAnswer: -110025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78658 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 2132186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**4\/12 + d**3\/6 + 2*d. Let y = 7292 + -7290. What is u(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -444.2.\nAnswer: -1332.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1029039 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = 2*d + 5*n, 4*d + 2*n = -0*n - 460. Let m be d\/10 - 10\/25. What is the remainder when m\/(0 + 4\/(-14)) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-3 + (4 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hucbb. What is prob of picking 2 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 2. Let i(t) = -t**2 + 4. Let j(q) = 3*i(q) - 6*o(q). Let h(s) = 16*s. Give h(j(x)).\nAnswer: -144*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 959*p + 12*p**3 - 959*p - 5*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nniinnnn. What is prob of sequence innn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 2166?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 4:26 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91666 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -135*v**5\/2 - 79005*v**4\/2 + 352100*v**3 + 91890*v**2 - 106920*v = 0. Calculate v.\nAnswer: -594, -2\/3, 0, 4\/9, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 11*k**2 + 2. Suppose n + 23 = -3*t, 0*n + 2*n = 4*t + 44. Let o be g(t). Let q be o\/3 + 5\/15. What is the highest common divisor of q and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84448\/468)\/(-14)*18\/(-4)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 2 - 6*t + 5 + 5. Let z be c(-7). Find the first derivative of 0 + 2*b + z + 0 wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + 1 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 2\/21, 1, -3.8, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**2\/2 + 18*f - 146. Let g be n(19). Let w(y) = 21*y**2 - 21*y - 18. Let v(l) = l**2 - l - 1. Determine g*w(o) + 18*v(o).\nAnswer: -3*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 59\/4 of a millisecond?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8234114 to the power of 1\/2, to the nearest integer?\nAnswer: 2870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 * 0.15.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8969*y - 20 = 8949*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*m + 3*m. Let x = m + 9. Let g be (x\/18)\/((-2)\/6). What is the closest to 0 in -3\/7, 3\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4809989, 1?\nAnswer: -4809989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000111894051 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -653 - -655. Suppose 6*k = 5*k + 5, 2*q + 18 = -d*k. What is the closest to 2 in -4, 0, -1, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2)*(-440)\/90)\/(6\/(-9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.3336609 to 2 dps.\nAnswer: -88.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4372356, 4372343, 4372352, 4372395, 4372484?\n\"Answer: 2*o**3 - o**2 - 24*o + 4372379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 divided by 5?\nAnswer: -271\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/((-3)\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - (-1*sqrt(77) + sqrt(77) - sqrt(77)))*-5 - sqrt(77) - -3*(-1*sqrt(77) - sqrt(77)))\/(2*sqrt(1584)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.046 - 5.954. Which is smaller: 3\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/(-32) + -3)\/6.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1481 - 0.2.\nAnswer: -1481.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**3\/6 - 2*k. Suppose 0 = -0*x - 2*x - 6. Let l be o(x). Solve 2*q + l*q = -25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*w - 20*w + 66. Suppose w*y = 28*y - 6. Find the common denominator of (y - -1)*(-207)\/132 and 69\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 24 + 24 - z. Let y(m) = -2*m - 2. What is -5*q(b) - y(b)?\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85\/4 + 21. Let z = -5 - -1. Suppose 3*s + t = -s - 3, 2*t - 20 = 5*s. Sort s, z, v in decreasing order.\nAnswer: v, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/3 - 221678*k + 665028 = 0.\nAnswer: 3, 332514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/183443 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 2*z. Let a(q) = -14*q**2 - 59*q + 60. Let g(d) = -a(d) + 6*m(d). Find the first derivative of g(v) wrt v.\nAnswer: 4*v + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 18*j + 123. Give v(24).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79695 and 75210.\nAnswer: 17373510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -43 - 1976549.9\nAnswer: -1976592.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 + z**2 - z**2 + (-4*z + 3*z + 0*z)*(-z + 0*z + 2*z))*(274*z - 124 - 572*z + 303*z) as c*z + h*z**2 + s + n*z**3 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2284 = 744. Suppose -q = -m - 141. Suppose -4*y = y - q. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -0.00070125?\nAnswer: 0.19929875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 8*u**2 + 13*u - 7. Calculate the remainder when l(-10) is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 794519 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(324) + -2*sqrt(324))\/sqrt(9))\/((sqrt(120)*1)\/sqrt(10)) + -3)**2.\nAnswer: 6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/8 - -1\/40. Let t = -1 + 0.9. Put 3, b, t in decreasing order.\nAnswer: 3, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10791953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -120, -119, -118, -117?\n\"Answer: q - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/4 - 91*k**3\/2 - 2481*k**2\/4 + 131950*k - 2102500.\nAnswer: -(k - 25)**2*(k + 116)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130301 (base 4) in base 15?\nAnswer: 1b5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-28) + 1986\/(-14392). Let x = -70433\/3084 + o. What is the common denominator of -22\/9 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 5:45 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182388 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 1408?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-653*i - 639*i - 13 + 2 + 1217*i)*(4*i**2 + 0*i**2 - 2*i**2).\nAnswer: -150*i**3 - 22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from {t: 2, b: 1, q: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i = 14*i - 5*q - 12, 9 = 3*i - 3*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -42*r**4\/11 + 542*r**3\/11 - 1964*r**2\/11 + 120*r + 144\/11 = 0.\nAnswer: -2\/21, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5494 and 2144?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33 and -2.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 534, 526, 504, 462, 394?\n\"Answer: -b**3 - b**2 + 2*b + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 d when three letters picked without replacement from sdeesddeddeed?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17478064 - -30938064. Round q to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51326956 or 51326957?\nAnswer: 51326957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 - -166. Suppose 5*h - 2*h + f - a = 0, -4*h + 71 = -3*f. Suppose w = -c + 11, w = 3*c - 6*c + 15. What is the remainder when h is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 + 942. Is u a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7992 - -136?\nAnswer: 8128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - -0.08. Let n = 1 - 1. What is the nearest to n in 2\/5, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7555766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**3 - 49*a**2 - 234*a - 129. Determine h(16).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1941 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 745*g**3 + 48207*g**2 + 19981654 wrt g?\nAnswer: 2235*g**2 + 96414*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 2 (b) -0.2 (c) -80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 732 and 54.\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 4 - 8) + 8. What is the second derivative of 394*s + 3*s**w + 8*s**4 + 0*s**2 - 2*s**4 - 108*s - 2*s**2 wrt s?\nAnswer: 72*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 100, 2, 4 in descending order.\nAnswer: 100, 5, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622467?\nAnswer: 3, 69163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = -421\/232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -523 or -311?\nAnswer: -523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104510 and 52255.\nAnswer: 104510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.7 + 2.7. Let c = -73 - -107. Let d = c + -32.7. What is the second smallest value in y, 3\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2175 + -2188. What is the second biggest value in -7, 3, u?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 23*j - 25. Is 19 a factor of v(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 334940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8)*149*-4. Let d = v + -264. Let y be d\/(-15) + 1\/3. Solve -4*x - 9 = -5*f + 4, -5*x - 2*f = y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 87905 + 1?\nAnswer: 87906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**(-2\/11)\/(g*g\/g**2*g)**44)**(25\/3) assuming g is positive.\nAnswer: g**(-4050\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {m: 1, v: 2, i: 1, p: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let l(c) = c**p + 33 + 2 - 4*c + 5*c. Is l(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 1\/2556120826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g*g**(4\/3)*g)\/g*g\/(g*g*g**4*g))**43 assuming g is positive.\nAnswer: g**(-215\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -15*c**3 - 6*c**2 + 9*c = 0.\nAnswer: -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 * 316\nAnswer: 1074.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27035041?\nAnswer: 11, 2457731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.6 + -1.4. Let c = 554777 + -554786.000008. Let n = s - c. Round n to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -629?\nAnswer: 188.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3375599 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 735 and 18?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3*(sqrt(405) + -1) - sqrt(405)))**2.\nAnswer: -216*sqrt(5) + 1656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 56*f - 281. Let a be v(5). What is the third biggest value in -3, -9, a?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14708739.\nAnswer: 3, 4902913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7058 and 3.\nAnswer: 21174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 12*h**2 + 10*h + 9. Let y be k(11). Let m = -4 - -3.7. Which is the nearest to -3\/5? (a) 1\/3 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 6:30 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-150)\/138 - 17430\/483\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*k - 9 = -11, 0 = 5*n - 5*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 2*h**2 + 4*h - 1. Let a be m(3). Let p(w) = 31*w**2 + 1. Let v be p(-1). Suppose -v = -a*o - 2*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*w - 8604 = -84*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + (-102 - (-77 + 40))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6585647*d**2*g**3 - 134*d**2*g**2 + 21*d - 5*g**2 - 3*g wrt g.\nAnswer: 39513882*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a3 - 20?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43, -52, -61, -70?\n\"Answer: -9*k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 2*c**2 + 4*c - 1. Let l be t(3). Suppose l*q - 14 + 4 = p, -28 = -5*q + p. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 2. Let f be t(-2). Solve f = 4*i + 3*y + 19, -6*y - 2 = -4*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 45*q - 18*q - 54 - 42*q. Let f be w(-4). Let x(b) = -2*b**2 + 10*b + 8. What is x(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**3 - j**3 - 2*j**2 - 8*j**3 - 2*j - 2 + 2 + 4 as o*j**3 + k*j**2 + h*j + n and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 52 - 380 = 0. Let r = z - -28. Solve r + 7 = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*u**3 - 111\/7*u - 135\/7 + 23\/7*u**2.\nAnswer: -(u - 15)*(u - 9)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.2 - 5.6. Let o = -258.98 + 259. Let q = 6.7 + -7. What is the nearest to o in -1\/3, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 0, -6, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43476960 divided by 1696?\nAnswer: 25635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -98\/14316775 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**3\/3 + 11*j - 27. Let t(r) = -6 + 5 - 2 + 5. Give 6*p(s) - 33*t(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 500, 716, 912, 1082, 1220, 1320, 1376?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -188, -133, -20, 1 in ascending order.\nAnswer: -188, -133, -20, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 48*m - 24*m - 21*m. Let f(c) = -14*c + 2. What is f(t(z))?\nAnswer: -42*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-33)\/(-15) - (-1)\/(-5). Let m = k - -3. Solve -17 - 3 = m*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10085623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - y + 6. Let q(f) = -5*f**2 + 4*f - 16. Let l(g) = -3*q(g) - 8*x(g). Find c such that l(c) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*q + 83569, 8*q = 5*y + 3*q - 104450. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -601 = -5*k - 2641. Find the common denominator of 3 + (k\/(-28))\/(-2) and (2\/5)\/((-32)\/(-230)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 565463*v**4 - 55*v**2 + 105*v wrt v.\nAnswer: 13571112*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**4\/33 - 23*p**3\/11 + 189*p**2\/11 + 2721*p. Factor o(j).\nAnswer: 2*(j - 3)*(2*j - 63)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/2 - 1*-1. Let y be 8\/(-52) + (-530)\/(-65). Let g be 1\/y - (-2 - -2). What is the second smallest value in -0.1, g, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**3)\/g*g\/((g\/(g*g**6)*g)\/g*g))\/(g**(-1\/6)*g\/(g**(2\/5)\/g)*g)*g**(-4)\/(g\/g**(3\/4))*g**(-5)*g*g\/((g**(-4)*g*g)\/g) assuming g is positive.\nAnswer: g**(139\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 3*o**2 - 3*o**2)*(-48*o - 47*o - 61*o).\nAnswer: 312*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 divided by 265?\nAnswer: -126\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 5*k**2 - 2*k. Let y be t(-5). Let p = y - 10. Factor p*o**2 + 0 - 4\/7*o**3 + 2\/7*o**5 + 2\/7*o + 0*o**4.\nAnswer: 2*o*(o - 1)**2*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a + 24 = 0. Let p(t) = 3*t - 2*t - 3 + 2 - 3. Calculate p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140025239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/20965521 and 127\/39730.\nAnswer: 209655210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8281 divided by 3501.\nAnswer: 8281\/3501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w**2 - 13*w + 1819. Let u(i) = -5*i**2 + 7*i - 909. Let d(q) = 5*u(q) + 3*y(q). What are the prime factors of d(0)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.5? (a) 5 (b) -0.01 (c) -4\/9 (d) -3 (e) -18 (f) -149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p**(-2\/3)\/p)\/p*p))**32*(p\/(p**(-6)*p))\/(p**(-3)*p))**50)**40 assuming p is positive.\nAnswer: p**(560000\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -2, 1376888, 0.3, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0592 and -1895152.\nAnswer: 112192.9984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycggdfdkk. Give prob of sequence cfgk.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*-1*(sqrt(15)\/sqrt(3) - sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*3*sqrt(99))\/sqrt(11))\/(sqrt(27)\/(-2*(sqrt(9) + sqrt(72)\/sqrt(8)))).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2*t**2 - t)*(t - t - t**2) + 17*t**4 + 9*t**4 + 509*t**3 - 25*t**4.\nAnswer: -t**4 + 509*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 0. Suppose -k + 4*k - n*l - 32 = 0, 0 = 4*l + 16. Solve p - 1 = z - 0, -k*z = 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1342 + -732. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5\/2 + 399261*j**4 - 1597049*j**3 + 2395576*j**2 - 3194103*j\/2 + 399263 = 0.\nAnswer: -798526, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4640046362.\nAnswer: 2, 7, 5573, 59471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by -9*((-25)\/15 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*v - 352 = 2*c + 8 + 547, 4*v = -4*c - 124 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 1\/4 (b) 2\/9 (c) -2 (d) 18.6 (e) 0.051\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -73. Suppose -40*t = -r*t + 140. Suppose 3*s + 15 = 6*s. What is the highest common factor of s and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 6*h + 1. Let w(m) = -m**2 - 27*m + 89. Let u be w(-30). Let v(i) = 1. Let y(a) = u*r(a) - 3*v(a). Calculate y(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 6*z**2 + 38*z. Let x(y) = y**2 + y. Determine -t(v) - 6*x(v).\nAnswer: v**3 - 44*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3, 3\/5, -3856?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 366648 and 23876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*p + n + 19, 5*n = 3*p - 7. Suppose -3*m + p = m. Differentiate 2*y**3 - y**3 + 1 + m with respect to y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83898 + 335725. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/2385 and -23\/8215.\nAnswer: 73935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 2*c = -48, -70*c + 72*c - 500 + 537 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 517107646*f**3 + 21*f**2 - 27320.\nAnswer: 3102645876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a6 (base 14) in base 8?\nAnswer: 10552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -15, 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 6781699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -1632.\nAnswer: -489.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3.2. Let y = 10.7 - 10.5. Which is the closest to -0.1? (a) 0.4 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -367 and 4?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*u - 2 - 10, 4*t + 2*u = 0. Suppose 0*j + 3*j + 5*r - 63 = 0, 5*r - 47 = -t*j. List the prime factors of 290\/4 + j\/32.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 12978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 50551.65 litres?\nAnswer: 50551650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-2)\/(-6) + 14\/3. Suppose -18*s = -17*s - c. Suppose 0 = 2*d + v - 8, -s - 11 = -2*d - 5*v. Solve y - d*y = -4*b - 2, 2*y - 5*b = 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 2*s + 7, 740*s = -5*h + 739*s - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 8:59 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/84*((960\/(-20))\/16)\/(18\/8)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-1369.177\nAnswer: -958.4239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18356.5899979 + -18356.6. What is s rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 0.002660659996.\nAnswer: -0.397339340004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 80 = -0*l. Let z be (0 + 41)\/(4\/l). What is z rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4581 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/3096 and 101\/24?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.706587287 rounded to three dps?\nAnswer: -0.707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -15*b + 14*b. Suppose 3*g + 1 = 4. What is the smallest common multiple of g and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1198 - 1198.2. What is the third biggest value in 0.07, -42, r?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35, 43, 173, 361, 613, 935, 1333?\n\"Answer: l**3 + 20*l**2 + 11*l - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n + 17 = -76 - 21 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*t - 8, -2*v - 2*v - t + 8 = 0. Suppose 0 = -0*l + 2*l - 5*j - 14, v*l = -3*j - 21. What is the units digit of ((-2)\/l)\/(2\/42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.407 + 1.407. Let p = 143 - 431\/3. What is the nearest to 1 in m, p, 4.7, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210202020110220221 + 1?\nAnswer: 210202020110220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 64. Let v be c(0). Let f(u) = 0 + 8*u - 2*u + 1 + 1. Let q be f(1). What is the greatest common divisor of v and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 178272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 77. Is l(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 368*p - 1. Let d be y(-1). Let o = -2867\/330 - -116\/15. Find the common denominator of o and 4\/14 - d\/(-140).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 29 = -0*p. Let f = p - 18. Let m be (8\/(-10))\/(1\/(-55)). What is the highest common factor of f and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-31))**(-6\/29)\/(x**30)**(1\/8))**26 assuming x is positive.\nAnswer: x**(4017\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**4\/6 + 355*g**3 + 44900*g**2 + 5257840*g\/3 + 21152320 = 0.\nAnswer: -228, -142, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x - 150 = -5*n, -4*x + 105 = -n. Suppose 5*u = 2*u - x. Let f be 1\/(-4) + u\/(-4). Which is smaller: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + -250988?\nAnswer: -250998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2014998 is divided by 15265?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 253638?\nAnswer: 4058208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**(2\/19)\/d)*d**(-1\/3))\/((d*d\/(d\/(d\/(d\/d**(-7\/6)))*d*d))\/d**(-4\/9)))**(-18) assuming d is positive.\nAnswer: d**(-1465\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppivijpp. Give prob of sequence pvp.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(5 + 8\/2). Let q(p) = 2*p**3 - 3*p**2 - 2*p + 2. Calculate the remainder when q(3) is divided by 2\/(-3)*l\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4684 - -4681. Which is the closest to 1\/4? (a) j (b) -6 (c) -2\/23 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, u: 1, i: 1, f: 2, d: 2, n: 2}. Give prob of sequence fd.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/4576663 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, q: 2, k: 1, t: 1}. Give prob of sequence tqk.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 672.5439 millimeters in kilometers?\nAnswer: 0.0006725439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 49*u**2 - 1102*u + 47. What is o(23)?\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6355043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(-1*sqrt(10)))\/(sqrt(90) + 1*sqrt(90) - sqrt(90)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312*q = -2915 - 1453. What is the remainder when 2097 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 808.4 * -0.068\nAnswer: -54.9712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 + 2649869*d**2 + 10599473*d + 10599472.\nAnswer: (d + 2)**2*(d + 10599472)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3390 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1)*(-9 - 36\/(-8))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*i + 10*i - 27*i)*(4 - 4 - 1) - 2*i - 9 - i + 4.\nAnswer: 48*i - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1116 - 759. Calculate the remainder when m is divided by 87.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -402.3745 to zero dps.\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -64879*k**2 - 5*k + 9. Let g be q(2). Let f = g - -449521. Round f to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 26 - 11 - 1 + 4*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11002, -10956, -10844, -10636, -10302?\n\"Answer: 5*s**3 + 3*s**2 + 2*s - 11012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5 - 15*k**2 + 2 - 4 + 3*k + 22*k**2 - 17*k**2. Let w(t) = 5*t**2 - 2*t + 4. Let b be (-29)\/4 - (-3)\/12. Give b*w(z) - 4*j(z).\nAnswer: 5*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i + 888. Is (i\/48)\/(2\/(-116)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (9 + -13 + (-16 - -5))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 476434 a multiple of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 221438994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1638393 + 12751.\nAnswer: 1651144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0237, 505, -268 in increasing order.\nAnswer: -268, -0.0237, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 16. Suppose a + 0 = 2*k. What is the units digit of 1*(k + 1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/31)*(p*p**30)\/p)**(-3\/32) assuming p is positive.\nAnswer: p**(-2799\/992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 203\/28 - (-2 - 3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-21) + (-9)\/7. Let n be 4 - (-24)\/(r - -5). Calculate the greatest common divisor of 80 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.67 + 0.79. Which is the nearest to n? (a) 1 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-3) + (-4)\/(-3). Let s = 1078.03 + -1078. What is the nearest to d in -5, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1219 and 83\/2?\nAnswer: 2438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nno when three letters picked without replacement from {r: 1, o: 1, n: 6, a: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2756*r - 1356*r - 1365*r.\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from ljc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 29*n**2 + 51*n - 67. Let a be v(-27). Solve -5*s - a = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -16, 3.\nAnswer: -16, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 42480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77.1 + 22.9. Let q = d + -80.2. Let k = q + -1.8. What is the biggest value in 0.2, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2757, 2764, 2775, 2790, 2809, 2832, 2859?\nAnswer: 2890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d**2. Let b(t) = 6*t**2 + 1. Give b(y(w)).\nAnswer: 384*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i + 50. Let j be n(-15). Suppose j*q + 7 = 27. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 18. Let q be t(10). Suppose 4*m + 0 = q. Suppose -14 = -c + 2*o + m, -3*c + o + 48 = 0. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/36 - 42\/189)\/((-18)\/(-828))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2217942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11085240?\nAnswer: 2, 3, 5, 92377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**7\/7 - 5*t**4\/2 - 41*t**3 + 65. What is the third derivative of s(v) wrt v?\nAnswer: -120*v**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26*4\/8 + 0 + (3 - 0). Let q be -1 + (-3 + 2)*-3. Solve -s = -q*y + 4*p, 0 = -2*p + p - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -355712 less than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*s - 12. Let t be (3\/s)\/((-21)\/(-28)). Suppose g + 11 = -0*i + t*i, 5*g - 1 = 2*i. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 11:36 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 24 = -3*f + 38*u - 39*u, -4*u - 19 = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -580680468 divided by -15562\nAnswer: 37314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -21*g**2 - 13*g - 16. What is q(-2)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(-1 + m + 1 + (-m + 2*m - 5*m)*(0 - 3 + 5)) as p*m + x and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 933. Let s be f(-24). Suppose 3*u + 0*u = -1698. Let z = s + u. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = -3*v, -29*x + 24*x + 13 = 3*v. Solve -5*j + 23 = -0*h - h, -x*j + 5*h = -35 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1963730.\nAnswer: 2, 5, 359, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 4*h**2 + 2*h - 2. Let o be (-4)\/4 - (-16)\/4. Give q(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 376, 373, 370, 367, 364?\n\"Answer: -3*s + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -489, -963, -1521, -2205, -3057, -4119, -5433, -7041?\nAnswer: -8985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from aaaaggggagagaagagg?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 46*w + 21. Let g = 34 + -29. Suppose -20 = u + g*n, -6 = -u + 4*n + 19. Is y(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5579*b - 113637 = -1052*b + 22456 + 131000 for b.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q + 3. Let d(w) = -5*w - 6*w - 5*w + 2*w - q. Let h(b) = -9*b - 4. Let i = 10 + -5. What is i*d(o) - 8*h(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 - 268*s**3 + 11730*s**2 - 166464*s.\nAnswer: 2*s*(s - 51)**2*(s - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 2*f**3 - f**2 - f + 163. What is l(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**3 - 12*s**2 + 8*s = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-2) - -19*2. Calculate the greatest common divisor of 48 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**5\/20 + 7*c**4\/16 - 4*c**3\/3 + 3*c**2\/2 + 1. Factor w(x).\nAnswer: -x*(x - 3)*(x - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(1*sqrt(637)*2 - (sqrt(637) + 2*sqrt(637)*-2)))**2 + (5*(sqrt(91) + -2*sqrt(91) - sqrt(91)))\/(sqrt(448) - (sqrt(448)*-1 + sqrt(448))).\nAnswer: -5*sqrt(13)\/4 + 143326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 19. Let l = b - 5. Let f = l + -6. Which is bigger: -1\/3 or f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258 is divided by 126?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2.5 (b) -4 (c) -5.88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*s - 3*s. Suppose -5*k + s*o = 5, 0*o - o = k + 7. Let f = 23\/9 + -7\/3. Which is the second smallest value? (a) -2 (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*z + 4. Suppose -y + 2639995 = -2*a + z*y, -4*a + 5*y = 5279995. Round a to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*a + 4*h - 16, 5*a - 42 = -h. Suppose 0 = -b - b + a. Let d = 3 + b. Calculate the lowest common multiple of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 3. Let a be 4\/(-22) - 644\/(-154). Let z(q) = -a + 3 + 2*q - 3*q - 5. Let l be z(0). What is c(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/4 - 114\/(-456)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**8\/420 + s**6\/180 - 2*s**3\/3 + 3. Let t(l) be the third derivative of f(l). Find the third derivative of t(c) wrt c.\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 974418 is divided by 3564?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -945.373 - -934.9. Let u = n - -10.2. What is u rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/((-3*1)\/9). Let y(z) = 2*z**2 - 5*z**3 - a + 0*z**2 + 7*z**3 + 5*z**3. Give y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j + 106*j = 32*j + 608 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317 + 4*g - 644 + 327.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*m + 24 - 24 - 6*m + 2*m - 6*m + (2*m + 0 + 0)*(0 - 2 + 4) + 0*m - m + 5*m.\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1600, 3173, 4744, 6313, 7880, 9445?\nAnswer: 11008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.07643 or -1\/30218?\nAnswer: 0.07643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203 divided by -1.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -49*a**2\/2 + a - 5. Let k be h(3). Let g = k + 1312\/9. Is -1 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -373277, -373274, -373269, -373262, -373253, -373242?\n\"Answer: p**2 - 373278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 9488 - 2746 = 0. Suppose -i = -4*a + 5962. Suppose 2*o - a = -3*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1210012?\nAnswer: 1210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) + (-20)\/(-15). Suppose -n*s = 3*s - 20. Suppose 0 = -5*z - s*g + 4, 0 = -4*g + 4 - 20. Solve 0 = -5*j - 3*l, -2*j + z*j = 3*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98808 is divided by 32936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79249, -80790, -82333, -83878, -85425?\nAnswer: -86974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**3 + k**2 + 7*k - 9. Let r(i) = 2*i**3 - 2*i + 3. Let o(l) = 7*r(l) + 2*t(l). List the prime factors of o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 432817691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*j - 102 = -4*g, -j = 5*g - 462. Suppose g = 15*h - 132. Suppose -116 = -17*q + h*q. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 8\/((-8)\/285). Let x be (10\/(-4))\/((-12)\/a). Calculate the greatest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -41962*g. Let y(z) = -2*z**2 + 19. Calculate y(h(d)).\nAnswer: -3521618888*d**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.09, -6, 3563?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*o - 1, 6*s - 8*s + o + 18 = 0. Solve -11 = 3*i - d, i = 2*d - 5 - s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 421231, 842338, 1263443, 1684546, 2105647, 2526746?\n\"Answer: -r**2 + 421110*r + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 22*j - 26*j. Let t be -10*((-10)\/4 + j). Solve -23 = l - 4*b, -2*l + 5*l = -t*b + 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (2 + -3 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -56*a + 15*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(168)\/(sqrt(64)*1))\/(sqrt(216)*-2*-4 + sqrt(216))*-2)**2.\nAnswer: -34985\/11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*2 - (sqrt(7) - sqrt(567)*4))**2.\nAnswer: 21175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1\/p)**(-26\/3))**(-1\/15) assuming p is positive.\nAnswer: p**(26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 + -105. Let t = -50.4 + k. Let m = -4.400077 - t. Round m to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*2*(-72)\/(-30). Suppose 2*w - w - 49 = 4*m, m - 4*w + 1 = 0. Let y = m + h. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u**5 - 33*u**4 + 18*u**3 + 24*u**2 = 0.\nAnswer: -4, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -194*j + 224. What is the ten thousands digit of a(-79)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 14. Suppose -2*q = -0*q - b. Solve u = -4*u - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013243577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*(1034\/(-7755))\/((-2)\/65)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*-1)**2 + -3 + 1*-2*sqrt(612).\nAnswer: -12*sqrt(17) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*i - 17*i + 7*i**2)*(-2 - i + 2).\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 119 + -1189\/10. Let v = 275\/21 - 38\/3. What is the smallest value in v, -1\/10, h?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 - 7*b**3 + 6*b**3 - b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/7 + 752*u**4\/7 + 69166*u**3\/7 - 286520*u**2\/7 + 216600*u\/7 = 0. What is u?\nAnswer: -190, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3075, 1, 0.2, -2\/15, 0, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 4:49 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5537*b + 2687?\nAnswer: 5537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 767?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 0*n - 3*n**2 + 0*n. Let w(p) be the second derivative of -19*p**3\/6 - 9823*p. Calculate r(w(x)).\nAnswer: -1083*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l + 3. Let r be i(-5). Suppose -13 = -g - 4*w, 3*g - 4*w + 32 = 7. Put g, 2, r in descending order.\nAnswer: 2, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*d - 2 + 4, 0 = -5*p - 3*d + 27. Sort p, 1, 5, 2.\nAnswer: 1, 2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**7\/210 - 17*f**3\/6 - 6*f**2. What is the first derivative of n(p) wrt p?\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -57.31. Round s to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*d + 776 = -1084 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, u: 2, c: 2}. What is prob of picking 2 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from 20.41.\nAnswer: 26.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-10) - (-2)\/(-4).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -27*i + 1438. What is the lowest common multiple of o(32) and 28?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 6*j + 68. Let q = -9 + j. Let a be q\/(-28) - 32\/(-14). Solve 2*f + a*f - 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3491*b + 10520. What is i(-3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93208009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166728 or 833646\/5?\nAnswer: 833646\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 516*w**2 - 3760*w - 6528.\nAnswer: 4*(w - 136)*(w + 3)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -355788*k**2*p**4 + k**2 + 183*k + 5 wrt p?\nAnswer: -1423152*k**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/14*-18*(-8)\/18. Solve -5*t = v + 28, -p*v + 8 = -4*t - 0*v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21007800 times 1?\nAnswer: -21007800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -15765 at most as big as -15766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*r + 291*r - 584*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 3*c + 1. Let l be y(-3). Let x be (-8 + 10)\/(-1 - l). Is (-489)\/x + (-8)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62945 minus 0.02?\nAnswer: -62945.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 15445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14*f. Let k(m) = m - 5. Let a(d) = d - 6. Let w(c) = 5*a(c) - 6*k(c). Determine y(w(q)).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800 = 37218*j - 37258*j for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 9 = -5*h, 0 = -5*m - 4*h + 82. Suppose -4*k - m = -l - 86, -l - 91 = -5*k. Calculate the remainder when 301 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m. Let c be (12\/10)\/((-3)\/10). Let z be 2*2 - c\/(-2). Let i(w) = 2 - 2 - z*w. Give q(i(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -77*o**3 + o**2 - 2*o - 2. Let f be g(-1). Is ((-18)\/(-24) + 5\/(-12))*f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4968 and -49\/184?\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 8*o**2 + 9*o + 2. Let h be b(-6). Calculate the highest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 80 = -5*z, 4*y - 4*z - 764 = -664 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 984 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 3 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 - 8*q**2 - 388*q - 1982. Calculate b(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g + 45*g**3 + g**2 + 14*g - 241*g**3.\nAnswer: -196*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 20*n**2 + 23*n - 6. Let c be o(11). What is the third derivative of 5*x**2 - 2*x**2 + 40*x**5 + 8*x + 20*x**5 - 4*x**c wrt x?\nAnswer: 3360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 6*l**2 - 1. Suppose 5 = -f - 3*k, 26 = 5*f - 6*k + 4*k. Suppose 8*m = 3*p + f*m - 34, 3*m = 2*p - 24. What is o(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - 9\/((-54)\/24). Suppose 3*m + h - 10 = 0, g*h + h - 4 = 0. What is the highest common divisor of 18 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 74\/3 - (-1 - 4\/(-6)). Let u be 55\/((3 + -4 - -2)\/5). What is the greatest common divisor of j and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 42 = 2*q + 42 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1463*r**2 - 1129*r**2 + 640*r**2 + (-r - 4*r + 7*r)*(-7*r + 3*r + 2*r).\nAnswer: -1956*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.056, -5.1, -3\/2, 0.15, 3?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192*t**4 + 8778*t - 3779506 wrt t.\nAnswer: -768*t**3 + 8778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 38222?\nAnswer: 2\/19111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 195*y + 50. What are the prime factors of s(1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0 = 16. Suppose 0 = -3*f - 9 - 0, -n - 4*f = -28. Suppose -4*r = 2*a - n, -o*r - 100 = -6*a + 3*a. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -994*t + 240*t + 453*t + 7224 = 0 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (0 - 42)*4\/(-8). Suppose -2*g - v = -23. Factor -11*d**3 + d**3 - 4*d - 2*d**4 + 14*d**3 + 2*d**g.\nAnswer: -2*d*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -48. Let w = 23 + -26. Calculate the lowest common multiple of w*2\/(-3)*7 and i.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684400165?\nAnswer: 5, 541, 253013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*v + 1027, -18*v + 21*v = -3*a + 768. What is the greatest common factor of 23 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246367210 by -5.\nAnswer: 49273442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0655 + 1.9345. Let i be (0 - 24\/15) + 6\/3. What is the biggest value in z, i, -5, -0.18?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*w - 15*b**2*w**3 - 2*b**2*w**2 + 8*b*w**3 - b*w - 9*w**3 wrt b?\nAnswer: -6*b*w - 30*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -16. Let g = a - -7. Let s(n) = n**3 - n - 1. Let z(v) = -6 + 3 + 2*v**3 - 3*v + 0*v**3. Calculate g*z(o) - 3*s(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3272*p + 3275*p - 21 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1.4, 5\/21, -1, -3?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + 1 + 2*i**2 + 2*i**3 + 12 + 5*i - 12 to g*i**3 + h*i + b + k*i**2 + d*i**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**3 + 32*k**2 + 30*k - 21. Give m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 13*l**2 + 2*l + 16. Let s be n(-13). Let o be (-18)\/s - (-1)\/5. Suppose k = -o + 7. Calculate the highest common factor of 10 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09858 times 0.0256\nAnswer: 0.002523648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2097, -2150, -2239, -2364, -2525?\nAnswer: -2722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69 + (-17527)\/(-255) + 443\/30)*2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(1*(-4 - -2)). What is the closest to -0.1 in n, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**4 - 3*z**4 + z**4)*((50 + 70 - 15)*(-2 + 2 + 1) + 1 + 5 - 5 + (-6 + 1 + 0)*(-3 + 1 + 0)).\nAnswer: 116*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.272 + 0.054. Let g = -0.25 - -0.2. Let x = g - l. Round x to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/9 - (-16)\/(-3). Let m be ((-12)\/(-10))\/(-3)*q. Suppose -m*n = 4*k - 16, -3*n - 5*k = -k - 26. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597152803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3507*b**2 - 10*b - 5. Let x(y) = 1751*y**2 - 4*y - 2. What is -2*v(l) + 5*x(l)?\nAnswer: 1741*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + (2 - 1 - 2)*(-6 + 4 + 0))*(-26 - 43 + 146)*(0*k + 1 - 2*k + 4*k).\nAnswer: 462*k + 231","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4268, -4320, -4458, -4724, -5160, -5808, -6710, -7908?\nAnswer: -9444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*2 + (21 - 294\/14). Let g(c) = -10*c + 12. Give g(q).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -283 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -174 + 174.5. Let i = 2\/249 + 229\/2490. Sort 19, y, i.\nAnswer: i, y, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*x. What is the common denominator of (129\/18 - 2) + x and 121\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 487\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5*sqrt(152)*-2 - -1*-3*sqrt(152))\/(sqrt(32)\/((sqrt(28)*-1)\/sqrt(7))*-4))**2.\nAnswer: 3195\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-12)*2*1*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 10*m**2 - 40*m + 15. Let t be v(13). Solve q - t*r = r - 17, r = 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwwjiwjijwi. What is prob of sequence jj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*i + 13129 - 13129 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-960*v**4 + 296*v**4 - 360*v**4) - v**3 - v**4 - 3*v + 3*v.\nAnswer: 2047*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*x - 103*x + 5*f = -49, -3*x - 4*f = -280. Solve 6 = 86*s - x*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/10 and -13\/6114?\nAnswer: 30570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -41*v**3 - 10*v**2 + 19*v + 61. Let i be r(-5). Calculate the greatest common divisor of 103 and i.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 5*p**8\/112 - 11*p**7\/210 - 329*p**4\/3 + 194*p**2. What is the second derivative of f(s) wrt s?\nAnswer: 300*s**3 - 132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9309418*r**3 + 28*r - 2303 wrt r?\nAnswer: 55856508*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20748 by -7.\nAnswer: 2964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76320508 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - 11. Let o = w - -42. Suppose o*q = 13*q - 18. Solve -p + 3 = -5*n, 5*n - 18 = -5*p - q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 - 2 - (-2 - -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 88 = -84 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -2*f - 1\/4*f**5 + 0 + 5\/6*f**3 - 5\/2*f**2 + 0*f**4. Let d(g) = 6*g**3 - 6*g + 6. Calculate 7*b(r) + 6*d(r).\nAnswer: r**3 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2, 45 in ascending order.\nAnswer: -4, -2, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 39790, -31, 1?\nAnswer: 39790","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*v + 542, 0*i - 2*i = -2*v - 272. Let d(u) = 6*u + i + 8*u - 3*u - 13*u. Let k(c) = -2*c. What is k(d(x))?\nAnswer: 4*x - 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, i: 8, c: 2, e: 2, k: 1}. What is prob of sequence kcie?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**5 + 20\/3*n**3 + 0*n - 1 + 0*n**4 + 0*n**2. Let f(z) = 0. Calculate z.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(15\/(-2)) + 1)\/(819\/390). Sort -1\/6, 0.5, h, 1.03 in decreasing order.\nAnswer: 1.03, 0.5, h, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, 298, 1601, 3672?\nAnswer: 6511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -5. Suppose -28 = -4*t - 2*j, -d*t + 5*j - j = -52. What is the highest common factor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1371*a**4*j**2 + a**4 + 6*a**2*j**2 - 170*a**2 wrt a.\nAnswer: -32904*a*j**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 6 + 24. Is (-265)\/u*(-4)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.11 != -1448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(102))\/sqrt(6) - (sqrt(51)\/(sqrt(24)\/sqrt(8)) + sqrt(17)))*6)**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31683 + 95050\/3. Which is the fifth smallest value? (a) -2\/13 (b) h (c) 0.09 (d) 0 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j = -2*y - 143, -4*y + 209 = 5*j. Suppose -11 - j = -4*t. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoveu. What is prob of picking 2 u and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -303 + 5994?\nAnswer: 5691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b = 4*q - 9, -3*b + 5*q - 41 = 0. Let y(i) = i + 8. What is the units digit of y(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12753465*s. Let z(k) = k**2. Calculate f(z(h)).\nAnswer: 12753465*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmhm when four letters picked without replacement from hmhhhhhmmmh?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 105. What is the smallest value in -5, 1\/3, 1\/5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -366, -3, 1\/6, 4, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4492351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 3 + 4 + (sqrt(75) + (1 + sqrt(75) + sqrt(75) + sqrt(75) - sqrt(75)))*-3)**2 + -2 + 0 + (0 + sqrt(3267))**2.\nAnswer: -320*sqrt(3) + 8081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 4*y = 18, 2*y - 139 + 123 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 9:15 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13283, -13381, -13537, -13745, -13999?\nAnswer: -14293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3 - 158*a**2 - 3040*a + 3200 = 0. Calculate a.\nAnswer: -40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and (54\/(-4))\/((-8)\/16)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(5) + sqrt(25)\/sqrt(5)))**2 - (sqrt(5) - sqrt(605)*1)) + -2.\nAnswer: 10*sqrt(5) + 718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 7392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10035 (base 7) in base 15?\nAnswer: -abc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000178047567 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/21 and -17\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 276*t**3 - 10*t**2 + 14*t - 7. Let s(v) = -92*v**3 + 3*v**2 - 4*v + 2. Calculate -2*p(l) - 7*s(l).\nAnswer: 92*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*m - 30 + 1, q = -5*m + 19. Suppose -p = m, 0 = k + 4*p - 3 - 10. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + (3 + -2 + sqrt(1872))*-6))**2.\nAnswer: 9072*sqrt(13) + 606969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**2 - 37995*s = 0.\nAnswer: -7599, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5038 = 3*n + 4073, 4*t - n - 9109 = 0. List the prime factors of t.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 8*a**2 - 63*a - 82. What is the smallest common multiple of 148 and c(-11)?\nAnswer: 9176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 411.\nAnswer: -410.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4435, 4449, 4473, 4513, 4575?\n\"Answer: f**3 - f**2 + 10*f + 4425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -4. Suppose 4*q + 88 = 5*b, -4*b + 2*q - 31 = -99. Suppose 0*h + l - 24 = -5*h, -h + 5*l = b. Sort -4, h, c in descending order.\nAnswer: h, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/17 + 1397\/170 and -17\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 + -122. Let k = 78 + x. Let s = -27 + k. Solve -4 = -u - 3*m, 4*u - 5*m + s = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 + 4. Let p = -28 - g. Suppose 9*i - p = 4*i. Calculate the greatest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*l**5 + 2*l**5 - 6*l**5 + (9*l**3 - 3*l**3 - l**3)*(-3*l**2 - 2*l**2 + 4*l**2).\nAnswer: -20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 6, 0*b + 5*w = -b - 10. Solve b*y - 2*y = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -7.822046.\nAnswer: 5.822046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 c when three letters picked without replacement from {x: 2, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5650\/9 - -62288\/99. Which is the closest to n? (a) 4 (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((8 - 9) + 14) - 10\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62546017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnv when three letters picked without replacement from {v: 5, n: 9}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lefelujjw. Give prob of picking 1 f, 1 l, and 1 w.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 308\/193 + 8274\/3281. Determine m so that -574\/17*m**3 - 2\/17*m**5 + u*m**4 + 648\/17 - 718\/17*m**2 + 576\/17*m = 0.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 17. Suppose -3*w + 7 + 5 = k. Differentiate -4 + 66*v**4 + 59*v**4 - 117*v**w - 1 with respect to v.\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from qatcttaagctucggggcqa.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {z: 2, t: 3, k: 1, o: 1, c: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 7. Let f be c(-5). Let i be f\/(-6)*(-6)\/(-9). Put i, 0.3, -4 in increasing order.\nAnswer: -4, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -31*s**2 + 513*s - 20. Calculate the least common multiple of 2324 and l(16).\nAnswer: 20916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -531 - -693. What is the highest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -5*(-15)\/(-3). Let r = x + -33. Let i be 4\/58 + 13452\/(-46197). What is the nearest to 0.1 in i, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -10. Let j be (4\/8)\/((-1)\/(-19)). Let r = j - 10. Which is the third smallest value? (a) r (b) l (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**7\/245 - 22*x**6\/35 + 491*x**5\/70 + 22*x**4\/7 - 492*x**3\/7 - 25*x**2 - 101*x. Solve h(f) = 0.\nAnswer: -1, 1, 6, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1481, 1243, 1007, 773, 541, 311?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -0.86 (b) 0.5 (c) -2\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**2 - 4*i + 32. Calculate the lowest common multiple of d(4) and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 6*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1163 divide 89142787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -12 (b) 2 (c) -21.7 (d) -3\/4 (e) -1481 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*-6*sqrt(51)\/sqrt(3) - (sqrt(2499)*-2)\/(sqrt(12)\/(sqrt(12)\/sqrt(3))).\nAnswer: -2 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 905 and 15023?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.238 + -0.23799342. Round i to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -45, -124, -277, -528, -901, -1420, -2109?\nAnswer: -2992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 499823492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(16\/21)\/(-4).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1036737?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -106. Let l(w) = 51*w + 16. What is the units digit of l(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((441\/(-6))\/21*3\/(-168)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v. Suppose -180*l = -447 - 762 + 309. Let w(p) be the third derivative of 0*p**4 + 0*p**3 + 0 + 1\/60*p**l + 17*p**2 + 0*p. Determine w(r(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a**2 + 292*a - 135. What is u(-37)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -213766, -213768, -213770, -213772?\n\"Answer: -2*v - 213764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15400 divided by -56.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*n + 4*n - 25971600. What is n rounded to the nearest 10000?\nAnswer: 1130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1193 divide 4066700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (3\/(-3) - 4). Suppose -6*p + m = -3*p. Factor -2\/3 - u + 2\/3*u**2 + u**p.\nAnswer: (u - 1)*(u + 1)*(3*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 - 5238*z**3 - 47250*z**2 - 141858*z - 141912.\nAnswer: 2*(z - 2628)*(z + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 154*h + 375*h - 34437721 - 11791060. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {r: 11, y: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*p*z**3 - 2*d**3*z**2 + 2*d*p*z**2 - 36*d*p*z - 10*d*z**3 - 3*p*z**3 wrt z.\nAnswer: -6*d**3*p - 60*d - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 14) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -36*z**2 + 614*z - 42. Determine c(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.753 + 0.653. Let k = n + 37. Let q = 5.8 - 6. Which is the second biggest value? (a) k (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -400*g - 2051. Give l(-5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 1601 - 287. Let j be 2*((-6)\/(-4) + -2). Is 13 a factor of j*u\/(-6 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 9*b**6\/8 - 961*b**3\/6 - 28*b**2 - 5*b. Find the first derivative of x(k) wrt k.\nAnswer: 405*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16187*g + 118198 - 277704 = 277543 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.141 * -13\nAnswer: -1.833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -5ae91?\nAnswer: 5ae96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 4. Let d(f) = 5*f + 18. Let y(q) = -2*d(q) - 9*p(q). Let v(i) = -2*i + 6. Determine y(v(n)).\nAnswer: 2*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2. Let c(i) be the third derivative of -i**5\/60 + i**3\/3 - 2*i**2. Let w(j) be the first derivative of c(j). Determine w(m(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*x**2 + 12*x**2 - 15*x**2 + 2*x**2 - 2 - 2*x**4 to the form u*x**3 + l*x**4 + y + p*x + i*x**2 and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 17.2. Let o = 629921 - 57323475\/91. Let u = o - -50\/7. Which is the smallest value? (a) u (b) 2\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -9. Is (-1)\/k*6 + 7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 9*y - 12 = 0. Suppose 0*o - 203 = -d - 4*o, 0 = -y*o + 20. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1668\/(-417)*6\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -631*l + 631. Let n be y(1). Let x(d) = -3*d**2 - d + 11. Let z(p) = 4*p**2 + p - 12. Let t(m) = 5*x(m) + 4*z(m). Give t(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10788)\/1392 + (-2)\/8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/24 of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172059998*j**3*w**3 - 3*j**2*w**3 - 5*j**2*w - 3815*j**2 + 3*j*w**2 + 2*j + 2*w**3 wrt j?\nAnswer: 1032359988*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 43 (b) -107\/1510 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y = 10*y - 2*i, 4*y + 2*i = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.0785 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*q + 2655*q**3 - 6*q + 33*q - 13*q + 2659 wrt q?\nAnswer: 7965*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 - 10536*x\/5 - 7400477.\nAnswer: (x - 13315)*(x + 2779)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*f + 58. Suppose a - 15 = -3*k, 3*k + 2 = 3*a + f. Sort 4, a, 1 in decreasing order.\nAnswer: 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) 20\/11 (c) 430.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 120*z**3 - 1676*z**2 - 3720*z - 1922.\nAnswer: -2*(z - 31)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 + 132. Solve -5*k - p + 1 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from {u: 5, l: 1, s: 1, c: 4, i: 7, g: 1}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 30, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -16. Let m be 2 - 1\/((-1)\/(-2)). Suppose -4*n - 3*j = 12, n + 2*j + 3 + 5 = m. Solve 4*o + 2*d = -f, n*d = 4*o - 2*d + 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25410 and 7260.\nAnswer: 50820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - sqrt(190)\/sqrt(5)*-5)\/(sqrt(2) - (sqrt(2) - -2*sqrt(2)*-1)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2f76d (base 16) in base 14?\nAnswer: 50bc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/32*(-276)\/322)\/(3\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 209, 197, 167, 113, 29, -91?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0, -23\/7 in descending order.\nAnswer: 0, -2\/7, -23\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d + 48. What is the tens digit of i(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001288483 to seven decimal places.\nAnswer: 0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175079197?\nAnswer: 23, 347, 21937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**5\/20 - y**4\/6 + 3*y**3\/2 - 5*y**2\/2 + 3*y - 42. What is b(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -493, -986, -1479?\nAnswer: -1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 - -163?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.31537 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -992, -8, 1, 0.5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 7 = -3*k, -2*w = 2*k + w - 12. Solve -k*m = -3*i - 6, 4*m - 6 = 5*i + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3738 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -22*i**2 + 1 + 24*i**2 - 6*i**2. Let r be (-9)\/(-4)*(-88)\/66. Give j(r).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4 = 28. Suppose 2 - d = r. Let s(n) be the second derivative of n**4\/12 + 4*n**3\/3 + 5*n**2\/2 + 2768*n. Give s(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*l + 77*l - 316*l + l**2 + 74*l + 80*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 25 = p - 0*s, 13 = 5*p + 4*s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*b + 19 = 13, 5*h = 5*b + 20. What is m in -2*m**4 + 24*m**3 - h*m**5 - 231*m**2 - 4*m - 6*m**5 + 221*m**2 = 0?\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -12 + 9 + (14 - 1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/5 - 87742*v\/5 + 526416\/5 = 0.\nAnswer: 6, 87736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 5:13 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79\/2 - -39. Let k be (9 + 1)*13\/26. Which is the biggest value? (a) k (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 8}. Give prob of picking 2 u.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -69, -71, -81, -105, -149, -219?\n\"Answer: -p**3 + 2*p**2 - p - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211 - 211 + 128*n**2.\nAnswer: 128*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3797081 to the power of 1\/2, to the nearest integer?\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - h**2 - 2*h + 42. Let y(z) = -5*z - 70. Let p be y(-14). Let u be k(p). Let j = u + -42. Solve -b = 1 - j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -485.54 + 36915.54. Let n = r + -36458.019. Let u = n - -28. What is u rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 16274*u**2 + 50*u + 417. Is g(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782 (base 10) to base 4.\nAnswer: 30032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013432.77 + -74?\nAnswer: 1013358.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30dbb (base 15) to base 16.\nAnswer: 25d60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + -11 + (-1 - -2). Let c = 80 - 323\/4. What is the smallest value in t, c, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2066748 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 419983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354, -334, -314?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -0*w - 5*w. Suppose -13*g + 39 - 13 = 0. Let j(a) = 3*a**3 + a**2 - a. Let q be j(1). Sort g, w, q in descending order.\nAnswer: q, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + 2 + 3 + sqrt(1573) + 1 + sqrt(1573) + sqrt(1573) + -4 + 2)**2 + 0.\nAnswer: 594*sqrt(13) + 14243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -8 + 5. What is the closest to 0 in m, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441*y - 360 = -436*y. Which is smaller: y or -21?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, j: 6}. Give prob of sequence jt.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + (3*sqrt(847) + sqrt(847))**2 - ((sqrt(56)\/sqrt(8) + sqrt(7))**2 + -2).\nAnswer: 11*sqrt(7) + 13526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/30)\/((-16)\/640)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1. Let f(o) = -o**3 - o**2 - 626. Let k(r) = -f(r) - 3*x(r). Let a be k(0). Suppose 4*q + a = 3*i + 2*q, 5*i - 4*q - 1047 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824531663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11, -16, -21, -26, -31, -36?\n\"Answer: -5*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.3152 * 3703.\nAnswer: 64118.1856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23430 divided by 5\nAnswer: 4686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/(-8))\/((-2)\/(-4)). Let l be 75\/(-100)*32\/(-1). Let q = f + l. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -863727\/2582 + 24\/1291. Let x(i) = -i**3 + 3*i - 369. Let o be x(0). Let v = o - k. Find the common denominator of 73\/4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 202210111?\nAnswer: 202210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 49, -22, 3, -2.81?\nAnswer: -2.81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/49 + 2\/(-7). Let m be (k - -1)\/(4\/12). Suppose 3*b + m = 6*b. Solve 2*d + 6 = 0, -4*j + 3*d + 0 = -b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*255\/(-272)*(-66)\/330?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**3 - 18*r**2 + 91*r - 5. What is the tens digit of n(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -55*k - 20. What is o(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3629*n - 100561 - 74830 + 22504 + 469 = 0 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2. Let t be 6\/4 + (-4)\/(-8). Let x(r) = 2*r + 0*r + t*r - r. Determine m(x(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -5*h**7\/126 + 8*h**6\/3 - 305*h**5\/12 + 1895*h**4\/18 - 230*h**3 + 820*h**2\/3 - 2607*h. Let m(t) = 0. Calculate t.\nAnswer: 1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/9 + (-4)\/6. Let u = -1 - x. Find the second derivative of 3 - 2*c**u - c - 3 wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45634523\/270 - -169017. Find the common denominator of 49\/1836 and v.\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from zlhvljhhhzvzhhhz.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 81*b + 33. Let v = -35 - -38. Let t(g) = g - v*g - g - 2 - 2*g. Let s(y) = -6*d(y) - 99*t(y). Let l(a) = 2*a**2. Calculate l(s(j)).\nAnswer: 162*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.832896 rounded to 2 dps?\nAnswer: 197.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307 = 5*c + 7*t - 3*t - 291 + 617, -2*c - t = 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 i when four letters picked without replacement from fdddwdwdwdddwwid?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*c**5 - 10*c**4 + 799*c wrt c?\nAnswer: 140*c**3 - 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:59 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1377 and 5724.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 608351013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -28, 1240, 189 in increasing order.\nAnswer: -28, 2, 189, 1240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 10. Let j = 1 + m. Suppose j*i = 5*i - 15. Solve -2*b + 25 = i*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52793 + -52793.0055903. Round a to 5 dps.\nAnswer: -0.00559","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 7 - 2 + b in the form z + o*b and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -7*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 1)*3 + 6. Suppose y*l = 2*l - 5*w - 1979995, -5940004 = 3*l - 4*w. What is l rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -17. Let x = -5 - -17. What is the units digit of 4\/(-6)*x\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12582, -16334, -20084, -23832, -27578, -31322?\nAnswer: -35064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Let m = -6825 + 40955\/6. Is m at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-7\/3))\/(y**(-11\/3)\/y))\/(y\/(y**(-2\/15)\/y)*y*y**2))**(-19\/6) assuming y is positive.\nAnswer: y**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 458 and 6.\nAnswer: 2748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 49*14\/4*(-102)\/(-833)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vmfeffvfevefeve?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 15 = 0, 0 = -v - 2*v - 2*g + 7. Which is smaller: -2\/43 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 12) to base 13.\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05584 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 227 = 159. Solve -c = 4*l - 17 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 1798376*n.\nAnswer: 4*n*(n - 449594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 663 a factor of 5911971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -0.1\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*sqrt(605) - sqrt(180)*4)*3*-3)**2.\nAnswer: -22356*sqrt(5) + 857709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26446 - -26451. Solve h*w - 11 = -2*m, 11*w - 16*w = -2*m - 39 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 264522214.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -3\/4 (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-3)\/((-4446)\/(-12)))\/((-416)\/1352)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 57408.5 from -0.4.\nAnswer: -57408.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12*y + 175. Let g be 3 + -1 - (16 - 14). Let i be d(g). What is the greatest common factor of i and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - -1 - 2\/(-1). Let d = l + 8. Let w(v) = v**2 - 2*v - 2. Let i = -1 - -3. Let j(o) = -4*o**2 + 7*o + 7. Determine d*w(x) + i*j(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 2. Let s be o(-1). Let p be -1 - (-8)\/(-20) - s. Suppose 0 = t + 3*t. What is the nearest to p in t, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 515*z + 1050.\nAnswer: -5*(z - 2)*(z + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 11*t + 16. Let a be (-1)\/((-2)\/(-60)*3). Let i be q(a). Solve -3*x**2 - 1\/2*x**3 - 4 - i*x = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/10 + 5*g**4\/12 + g**3\/3 - 7*g**2\/2 + 3*g. Let w be n(-3). Let x = w + 116. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24180 and 52910676.\nAnswer: 264553380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 266922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k - 2*k**3)*(9*k + 26 - 26).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -e63a3 (base 16) to base 7\nAnswer: -11005206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7 = 73. Suppose -4*q = g, 0 = 2*x + 2*q - 51 - 53. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32*-9\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1937.99 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -265.46609 rounded to one dp?\nAnswer: -265.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i*i**(-1)*i*i)*i*i*i*i**(-2\/15)*i*(i\/((i\/i**0*i)\/i))**(-23) assuming i is positive.\nAnswer: i**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 = 2. Let w(l) be the first derivative of l**2\/2 + l + 1. What is the remainder when w(u) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -17*n**3 + 1. Let z be s(1). Let r = 6 - z. Let v(f) = f**2 - 8*f - 21. What is the remainder when v(14) is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 4*h - 5*l, 87*l - 85*l + 52 - 11 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 8*u**2)*((3 - 5 + 6)*(-118 + 16*u + 118) - u + 3*u - 3*u + 0*u + 3*u + 0*u + (3*u - 2*u - 3*u)*(-3 + 5 + 0)).\nAnswer: 496*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -25. Let i = -31.4 + 46.4. Let f = i - d. Which is the third biggest value? (a) -5 (b) f (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 417*z**2 + 43263*z - 43681.\nAnswer: (z - 1)*(z + 209)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*k - 519 + 278 + 2848 = 0 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164 + -157. Put c, -0.9, 3 in descending order.\nAnswer: c, 3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + t. Let s be p(1). Let d be (-3 + 0 - -3) + 12. Let b be d\/(-4) - 4\/2. Sort s, -4, b in descending order.\nAnswer: s, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/108*675\/2550.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 3*r + 2*r + (8 + 13 + 10)*(3*r - 4*r + 2*r) + (2*r - 6*r + 2*r)*(3 - 3 - 2) - 4*r + 4*r - 2*r + 2*r - 2*r + 2*r + r - 3*r + 0*r.\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, w: 4, h: 1, e: 8}. Give prob of sequence oi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*l**2 - 2*l + 55*l**2 + 8*l**2 - 146*l**2 - 78*l**2 to r*l + d + z*l**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6105 - 0.782. Let r = -0.176 - g. Round r to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + p**2 - 8*p**3)*(2 - 2 + 2*p + 1 - p - 1 + (1 + 2 - 1)*(-2*p + 5*p - 2*p) + p + p + 0*p + p + 0*p + 0*p + 0*p - p - 3*p).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 14) to base 13.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 = 22. Which is greater: l or 27?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 25 = -4*l, 32623*g - 32626*g - 4*l + 17 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6460132 is divided by 87299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 13*u**8\/1680 + 3*u**4\/8 - 7*u**3\/3 - 1. Let l(h) be the third derivative of n(h). Differentiate l(y) with respect to y.\nAnswer: 52*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - r + 6*r - 3 = 0, 4*r + 44 = 5*y. Let w(l) = 10*l + 6. Let p be w(y). Let u = -38 + p. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(76)*2)**2*2 - (-1 + sqrt(1900) + 4 + -2*sqrt(19)).\nAnswer: -8*sqrt(19) + 3037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15849, -15851, -15853, -15855, -15857, -15859?\nAnswer: -15861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 983 or -12?\nAnswer: 983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2320150\/14205*(-9)\/15\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1229248*h**3*m**2 - 8*h**3*m - 45*h**3 + 88710*h + 3 with respect to m.\nAnswer: 2458496*h**3*m - 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + 1 + (5*(sqrt(3888) - (sqrt(3888) + sqrt(3888)*-1))*-4*2 + 1)**2.\nAnswer: -2880*sqrt(3) + 6220793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -42.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 3:24 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77424 and 22854597.\nAnswer: 4839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n + n. Calculate the highest common divisor of 18 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -714, -684, -624, -528, -390, -204, 36?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1616, 6787, 15466, 27653, 43348?\nAnswer: 62551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -30*d. Let m(c) = 238719*c + 2. What is m(i(t))?\nAnswer: -7161570*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 10*m**2 - 37*m - 15. Let x be w(13). Suppose -h - 2 = -4*z + 7, -5*z = h - 27. Suppose -x*k = -h*k - 1420. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + 5 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 20 - 60 = 0. Calculate the remainder when 62 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 2*g**2 + 4*g + 3. Let n be i(-3). Suppose n*o + 3*o = 6. Suppose -2*b + 18 = 2*z + o*z, 5*z = 5*b - 45. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12 = -3*m, 0 = 4*v + 4*m - 8. Solve v = -3*l - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 0.4?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1604848 or -1604850?\nAnswer: -1604850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 6. Suppose 4*b = -b - 4*i + 34, 0 = -4*b - 5*i + 29. Calculate the smallest common multiple of b and c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skks when four letters picked without replacement from {s: 3, k: 12}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23425.\nAnswer: 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -3, -110, 4.\nAnswer: -110, -6, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1316164 (base 8) to base 16.\nAnswer: 59c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**2 - 3524*x - 3520 = 0 for x.\nAnswer: -880, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/6)\/((-1030)\/(-60) + -18).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 630650736024 - 9.\nAnswer: 630650736015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**5\/20 - 4*h**4\/3 - h**3 - 19*h**2\/2 + 24*h. Let u be d(-16). Let v be 6831\/u - (-4)\/14. Round v to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s = 20, 2*s - 22 = -3*k. Let v = 56 + -33. Suppose -4*a + v = z, -3*z - 2*a = 3*a - 34. Solve -4*b + z*b = -k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -17. Let u be (8 - 0)*p\/18. Suppose -4*b + b + 12 = 0. Solve -2*c - 8 + 28 = u*n, 0 = b*n - 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 10, 0 = 4*n - 2*n + 5*y - 26. Let i(p) = -p**3 - 30*p**2 - 30*p - 11. What is the least common multiple of n and i(-29)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -y + 28, 0*t - 4*t = -3*y + 68. Let z be (-6)\/(-8)*(-4 + y). Suppose 0 = 4*i - z - 21. Solve 3 = -h - 3*n, 4*h - i = -2*n - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -475*r**2 + 3805*r - 40 = 0?\nAnswer: 1\/95, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125365, 250693, 376021?\nAnswer: 501349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((3 - 0) + (6 - 7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -745, -762, -793, -844, -921, -1030, -1177, -1368?\nAnswer: -1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/72)\/(8\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -17.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + ((-7 - -4) + 0 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4079.9 - -4079.91. Let k = 4 - 3. What is the biggest value in k, s, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/13711?\nAnswer: -5\/13711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 20 (b) 1\/7 (c) -130 (d) -0.1 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179786 and 142913?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 98967 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36661763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 6*x**2 - 7*x - 2. Let k be l(7). Let i be (k\/(-6))\/((-6)\/(-612)). Let b = 101\/3 - i. Which is smaller: -0.3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: baaa9 (base 15) to base 2\nAnswer: 10010000110010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/15)\/(8\/20). Suppose 3*k = -2*q - 23, q = t*k - 2*q - 2. Which is the nearest to 2\/5? (a) 1 (b) 1\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.61 - -0.29. Let q = n + -0.909. Let p = q + -0.731. What is p rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 16. Let i be m(9). Suppose -4*a + a = -4*w - 4, -3*a + i*w = -2. Put 4, 6, a in descending order.\nAnswer: 6, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10609088563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15842 + -15940. Let o = -1.2 - 1.8. Which is the third biggest value? (a) -6\/7 (b) -3\/5 (c) j (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18873158274 divided by 6?\nAnswer: -3145526379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 35. Calculate the remainder when x is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18373 = 225*c + 815*c + 33627 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*s = 1734570 - 8139654. What are the prime factors of s?\nAnswer: 2, 3, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**4 + v**3 + v**2. Let t(m) = -2*m**3 - m**3 + 20*m**4 - 6*m**5 - 2*m**5 - 11*m**3. Let i(y) = -t(y) - 2*z(y). Factor i(o).\nAnswer: 2*o**2*(o - 1)**2*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606862 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 229.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13303344 (base 5) in base 8?\nAnswer: -407301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896737441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.44 - 3.44507. What is h rounded to four decimal places?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 7\/8*r**4 - 1\/42*r**7 + 0*r**6 - 180*r**2 - r**3 + 0*r**5 + 0 + 0*r. Differentiate h(o) wrt o.\nAnswer: -20*o**3 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120097587, 240195175, 360292763, 480390351, 600487939, 720585527?\nAnswer: 840683115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 4) + 3\/(6\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33343 - 1021?\nAnswer: 32322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255652 is divided by 12780.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 218 + 87. Suppose -v*g + 68*g = 28. Solve -g*b = 2*u + 16, 2 = 2*b - 4*u - 0*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 6*m + 168146, 32*m - 30*m + 126064 = 3*o. List the prime factors of o.\nAnswer: 2, 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*q + 2*v - 2045, -2*q + 3*v - 827 = 0. Let u = q + 584. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636*j = 3*x + 638*j - 18, -5*x + 14 = 2*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 247*w + 10. Let n(i) = -2100*i - 84. Give 42*j(r) + 5*n(r).\nAnswer: -126*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12445 - 12116. Solve 7*m + 343 = d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 13683*y - 9 - 14 + 11.\nAnswer: -13683*y - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2177020 and 306850?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 83 = -5. Which is smaller: 4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 2*x - 47. Let t be j(7). Suppose 0 = -5*v + 4*g + 38, -t*g = v - 13*g. Solve -v - 9 = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 + (2 - ((-12)\/3 - -4)) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -474 - -481 - 168\/(3 + 0).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -199\/9555 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, y: 5, z: 5, n: 2, o: 1, x: 1}. Give prob of picking 1 z and 1 x.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8628 + 8704. Solve 8*g - a*g = 544 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p**2. Let c be y(1). Is c at most as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.061079mm to nanometers.\nAnswer: 1061079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**(-36)*i**(2\/5)*(i*i**(-3\/7))\/i)**3 assuming i is positive.\nAnswer: i**(-1893\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -60, -79, 0.38, -2?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27a (base 14) in base 4?\nAnswer: -13310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20015 (base 8) to base 5.\nAnswer: -230310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-2))\/(-11)*(-8)\/84.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(-2\/5)*s*s)\/s*s*s*s*s*s**(-2\/15))\/(s**4\/(((s\/s**(-5\/2)*s)\/s)\/s)))**(-3) assuming s is positive.\nAnswer: s**(-119\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -10) + 1 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.3 - 3.3. Let d = 3.05 - o. Sort -2\/17, -0.1, d in decreasing order.\nAnswer: d, -0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/128 + -49\/128. Let p = -0.1 - 0.9. Which is the nearest to p? (a) k (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12668 + 1?\nAnswer: 12670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 876 = 10*o. Suppose -870*i + o*i - 270 = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45631021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n**2 + 86046 - 43257 - 42789.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**0*k*k**(-1\/4)\/k)\/(k**(-6)\/k**(-1\/4))*((k**9*k)\/(k*k*k*k**1*k))\/(k**(-3\/2)\/k**(-1)) assuming k is positive.\nAnswer: k**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-176)\/64*6\/(-33). Solve 1\/2*v - 1\/2*v**3 + u - 1\/2*v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 + 2*b + 2. Let h be n(-1). Suppose 5*j - k + 14 = 0, 0 = -4*k + k + 12. Let d = j - -3. Sort -2, d, h in decreasing order.\nAnswer: h, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 3*j + (-3 + 0 + 1)*(-3*j + j + j) - 3*j + 2*j + 2*j - j + 0*j - j + (-5 - j + 5)*(-3 + 6 - 1) in the form z + q*j and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 227347.\nAnswer: -6\/227347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/70*-7*(0 + 2). Suppose -t - 4*n = -7*n + 1, -12 = -5*t - 2*n. What is the greatest common factor of h and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1548239 is divided by 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/847 and -59\/4?\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 0.23, 0, 24359, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5729893.\nAnswer: 13, 440761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-165) + 20\/110. Let m = 0.5 + -2.5. Suppose 10 = -5*h + 5*s, 0 = -5*h - 2*s + 12 + 6. Sort m, h, x.\nAnswer: m, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243.895*1207.\nAnswer: 294381.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**2 + 1863. Let x(o) = -11*o**2 + 2*o. Determine x(w(m)).\nAnswer: -44*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4679831*v = -4679825*v + 465, -5*f + 4*v = -319 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.841331 - 0.87.\nAnswer: -1.711331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 21 = -6*n. Let y(w) = -w**3 + 7*w**2 - 5*w - 4. Determine y(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1472979422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/28)\/(3\/(-2)). Let t = 0.4 + 1.6. What is the second biggest value in t, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 = -43*k + 68*k + 40 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 - 11. Let g = -90 - o. Suppose -g*f + 19*f = -444. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-189)\/162)\/(7\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 43 = 2*d + 20, 5*h + d = 34 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + h + 20, 0 = 5*c - 3*h + 6*h - 20. Suppose -p + c*p - 48 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/11))**32\/(i\/(i\/i**(-1\/3))*i**(5\/2)*i) assuming i is positive.\nAnswer: i**(1519\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 480.\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*g - 5 = 0, 7 = 4*r + 3*g - 8. Let v = r + -3. Which is greater: -3\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 7*a**2\/2 - 18*a + 16. Let o be p(0). Let q = o - -180. What is the highest common factor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(sqrt(17) + 1)*5)**2.\nAnswer: 3200*sqrt(17) + 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 8*w - 2. Let j be b(-8). Let x be 16\/104 - j\/(-13). Solve a - q = -3*q - 1, x = -a + 2*q + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1187474 at most -1187504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6184 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c. Let x be (-1 - -2)\/(3\/9). Let u be 2\/(-6) + 31\/x. Let y be -1 - 5\/(5\/(-2)). Let g(t) = -t. Calculate u*g(z) + y*l(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 3. Let q(o) = 5*o**3 + 2 - 4*o**2 - 7*o**y - 3. Let m(l) = -3*l**3 - 5*l**2 - 1. Determine -4*m(i) + 5*q(i).\nAnswer: 2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -213 + 242. Suppose 47 = 3*p + 2*h, 0 = -p - 0*h + 5*h + 10. What is the remainder when w is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35115 is divided by 1318?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-2) - 2)*0. Solve -x - 4*x - 18 = -3*b, i = -5*x + 5*b - 20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127*k**3 - 1 - 112977*k**2 - 6*k**4 - 2*k**4 + 2*k + 112778*k**2 wrt k?\nAnswer: -192*k - 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 473 - 238. Let h(z) = -w*z**3 + 5*z - 7*z**2 - 5 + 1152*z**3 - 3. Let o be h(-8). What is o rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiih when four letters picked without replacement from hbvbibvvvbiivvvjvv?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 7:38 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 0*i - 3480. Let t = i + -14502\/25. Let v = 3 + -3. Do v and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, -2, -1, -0.057?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (5 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 4, 3, -4943, 0.2 in decreasing order.\nAnswer: 4, 3, 0.2, -0.09, -4943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31839 and -422?\nAnswer: -13436058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)\/(f*f**(3\/7)))\/((f*f\/(f**(-1\/4)\/f))\/(f*f**(-6)))*(f**(1\/5)\/f*f*f*(f*f\/(f\/f**(-1)*f)*f)\/f)**(-20) assuming f is positive.\nAnswer: f**(-439\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -234.1 - -234. Suppose 3*m + 16 = -m. Which is the nearest to f? (a) -3\/8 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 38471.2 and 2.89.\nAnswer: 38474.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-84)\/9*9\/6. What is the third smallest value in 0, t, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16379*t**3 + 43*t**2 + 48*t**2 - 91*t**2.\nAnswer: -16379*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (175\/40)\/((-15)\/264 + (-10)\/(-55)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 2471760309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14 - 2\/4*-2. Suppose -k = -r + 6*r. Suppose -4*f = -3*f - 5. Sort 3, f, r.\nAnswer: r, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/5874680 and -31\/2937340.\nAnswer: 5874680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 t, and 1 z when three letters picked without replacement from utzkkzet.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -44.47834 and 88.\nAnswer: 43.52166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1383870056746.9 and -20?\nAnswer: 1383870056766.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3470 - 10439*k + 13904*k - 6*k**2 + 11*k**2.\nAnswer: 5*(k - 1)*(k + 694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.52079l in millilitres?\nAnswer: 53520.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s**3 - 16*s**2 + 9*s. Let l(b) = -2*b - 3. Let q be l(-1). Let d(x) = x. Let t(m) = q*k(m) + 5*d(m). Let t(u) = 0. What is u?\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 0 + -15 + -1 + 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 67 = 78. Let u be (-6)\/(-15) - 144\/310. Which is smaller: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -19*k + 1 - 15*k + 32*k. Determine g(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = -4. Let n be (6\/i)\/((-6)\/(-28)). Suppose -8 = 4*w - 2*w, 0 = n*h + w - 1264. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -4*j - 43, 1871*y - 1868*y - 2*j + 16 = -21 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (34\/8 + -3)*4. Let s(j) = -j**3 + 6*j**2 - 4*j + 1. Let r be s(x). Suppose -3*h - 3*l + 78 = 0, -h - r = -5*l - 62. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - a + 272. Let z be d(-17). Let v(c) be the first derivative of -3 + 1\/3*c**2 + 0*c + z*c**3 - 1\/6*c**4. Factor v(o).\nAnswer: -2*o*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*z + 22 = 0, -3*c - 3*z + 7 = -z. Calculate the remainder when 3*(c - (-385)\/15) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -7) + 5 - (-1 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 60*t. Let z(m) = -m - 1. Let v(j) = -l(j) + 15*z(j). Let w be v(15). Let u = w - -29. What is the greatest common factor of 84 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18239*y - 13692*y + 19811*y.\nAnswer: 24358*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-14) - 10557\/(-119). Suppose -4*i = -2 - 10, 4*q - i = 9. Suppose f = 5*p + l, -l = -4*p + q*p + 19. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -14*t**4 - 7*t + 1 - 8\/7*t**7 - 3*t**2 + 141\/20*t**5 + 4\/5*t**6 + 19\/2*t**3. What is u in j(u) = 0?\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 8) in base 11?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1158 and 48282231?\nAnswer: 96564462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1297, 1291, 1297, 1321, 1369, 1447, 1561, 1717?\nAnswer: 1921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 56594016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -7, 3, 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*a*m**5 + a*m**2 + 2*a + 4*m**2 - 14*m wrt m.\nAnswer: 640*a*m**3 + 2*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80.32 - -78. Let x = 2.2638 + c. Let y = x + 0.056. What is y rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.8000191 + 13.8. What is c rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 - -122.00105. Round q to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4169*c**3 + 2403*c**2?\nAnswer: 25014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x - 6. Let p = -3 + x. Suppose p = -2*d + 4*d - 8. Which is smaller: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 655 + -609. What is the remainder when r is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/(t\/(t*(((t**7\/t*t)\/t)\/t)\/t)))\/(t*t**(-7\/2)*t**3\/t) assuming t is positive.\nAnswer: t**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l + 5*p = -3754, l - p = 1252. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2448) + -2 - sqrt(2448)) - sqrt(2448) - (sqrt(2448) + (sqrt(2448) + -2)*-1) - 4*(sqrt(2448) + -3*sqrt(2448) + 2)*5)**2.\nAnswer: -46800*sqrt(17) + 3725908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k - 12. Let y be 7\/((-14)\/(-114))*(-2)\/k. Suppose -260 = -6*r - y. Calculate the remainder when 110 is divided by r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, -26.\nAnswer: -26, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnnnmhmhnmnmm. Give prob of picking 4 n.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10194798974 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 37730*q + 29. Let p(b) = 42*b + 1. Determine y(p(x)).\nAnswer: 1584660*x + 37759","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 10 = -l, l - y + 0 = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1673935 or 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1031190028 to the nearest integer?\nAnswer: 32112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60ab (base 12) to base 15.\nAnswer: 319e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 6*h - 3. Let x be r(-4). Let m = -34 + x. Suppose -5*q + 3*v = -2*v - 50, -m*v = 2*q - 15. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 3*g**2 - 6*g - 17. Let k be a(7). Suppose 8*d - 191 - k = 0. What are the prime factors of d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 6 = -2*h, -9*h - 85 = 145*w - 146*w for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 5\/2, -5, -9\/2, -1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {v: 3, c: 3, y: 5, w: 9}.\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190 - 190. Solve 3 + j = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1094 = 3*d, 3*i + 5*d = 863 + 780. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/v**21*v*v*v**9*v assuming v is positive.\nAnswer: v**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let f = 382 + -388. Let l(h) = 7*h + 44. Let q be l(f). Solve 0 = q*b - 4, -4*u - b = -y*b + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 85837*w**2\/2 - 515029*w\/4 - 171677\/2.\nAnswer: (w - 171677)*(w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*t = 8, 5*a + 10*t = 5*t + 40. Let l be -1*(-1 + 0 + -3). Solve 2*c = -2*x - a, -x + l - 10 = -c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13 - 15)\/(-5*(-4)\/10). Let z = -0.12 - -0.06. Sort y, -2\/7, 0, z in descending order.\nAnswer: 0, z, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (0 - 3) - -6. Let p be d\/8 + 13\/(-52). Is 1\/27 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 18 = -12*k. Suppose k*a - 19*a = 0. Suppose a*n = 5*n. Solve n = -4*h + h - 2*u + 1, 5*u - 7 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2207*s**3 - 1079*s**3 - 1124*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4254, -8518, -12782, -17046?\n\"Answer: -4264*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 20*h + 14. Determine y(19).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49316, 98637, 147932, 197189, 246396?\n\"Answer: -2*c**3 - c**2 + 49338*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 14, d: 5}. What is prob of sequence da?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 - 2 - 4*s**2 - 3*s**3 + 0*s**4 - 46*s + 46*s to the form d*s + i*s**3 + l*s**2 + g + c*s**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 11:22 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 230*s**3 + 7*s**2 + 37*s - 221. What is the ten thousands digit of c(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5751\/(-180) + 12 + 20)*(-5)\/(-7)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8107 + -8121. Which is the fifth smallest value? (a) 0 (b) -23 (c) w (d) -3 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 4. Let a be l(5). Let x be (-318)\/(-56) - a\/4. Let k = x + -660\/119. Is -1 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from eefah?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*p*w**2 + 6*p*w - p - 6*w**2 - w - 6794 wrt w?\nAnswer: -16*p*w + 6*p - 12*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2666 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 2. Let f be i(3). Let h(y) = y**3 + 4*y**2 - 7*y - 3. Let k(g) = -5*g**3 - 15*g**2 + 29*g + 11. Let z(b) = -9*h(b) - 2*k(b). What is z(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**7\/105 - 17*j**4\/24 + 3*j**3 + 10. Let n(x) be the third derivative of h(x). What is the first derivative of n(v) wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 16 + 80)*(0*u**3 + 4*u**3 - 2*u**3).\nAnswer: 252*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.051 - 2310844\nAnswer: -2310844.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 114*f - 119*f - 3*p, -3*f = -7*p + 56 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = 10. Let w be -2 + (1 - (-12)\/3). Suppose 0 = o*y + 2*i - 5*i - 294, 186 = 3*y + w*i. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43020 - -43019.7. Let v be (8\/(-10))\/((-2)\/(-20)). Which is the nearest to 1? (a) v (b) g (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/3)*q*q)\/q**(-27)*(q**(-5))**(-48) assuming q is positive.\nAnswer: q**(812\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkjqjkykkqjy. Give prob of sequence yq.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.81 from -124.\nAnswer: -124.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5720+-0.2\nAnswer: -5720.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 7*d = 0. Suppose y = 4, -4*c + 3*y = -d*c - 40. Calculate the remainder when 22 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89203 is divided by 17831?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*y + 74*y + 3444 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/89 (b) -2\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -15*q**2 + 12*q**2 + 2*q + 34*q**2 + 1. Let u be w(-1). Let g = 23 + u. What is the remainder when g is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35764.\nAnswer: 2, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -288148, -288150, -288152?\nAnswer: -288154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/9)\/(-35)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 11*b + 17. Let y be x(12). Let l be (-1 + y)*(-3)\/(-4). What is f in 8*f - 3*f**4 - 11*f - 9*f**l + 6*f**4 + 9*f**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 469251 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7649, 7175, 6385, 5279, 3857?\nAnswer: 2119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 - -296. Let p = s + -134. Calculate the greatest common factor of p and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -14, -5, 2, -1.\nAnswer: -16, -14, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)\/(p*p**(2\/17)*p)*(p**(2\/3))**(-9))\/(((p**3*p)\/p**(-3))\/((p\/p**6)\/(((p*p**(-1\/11))\/p*p)\/p))) assuming p is positive.\nAnswer: p**(-14793\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - f**2 + 12*f - 26. Let h be (0 - (-15)\/10)*16\/3. What is the hundreds digit of r(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 2. Let b = 25 + -14. Suppose 0 = -b*q + 12 + 76. Give w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00765447 rounded to four dps?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -29. Suppose -5*s - 2*r + c = 0, -2*s + 16 = -s - 2*r. Calculate the smallest common multiple of s and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from tttcviiivdicilc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -81, -89, -97, -105?\n\"Answer: -8*f - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66 + 297 - 97) + -100.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 + -34. Calculate the remainder when z is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*sqrt(2299))**2*3)*1 - (-1*(sqrt(2299) + -2)*-3*-4)**2.\nAnswer: -324730 + 6336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**7\/105 + w**6\/30 + w**5\/30 - 5*w**2. Solve s(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1031565l?\nAnswer: 103.1565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3*j**2 - 3 + 13 - 2.\nAnswer: -3*j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15986026 by -427.\nAnswer: 37438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9\/27*(-330)\/385\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -57 + -1ba?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (-76)\/(-4))*14\/56.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3051392602966?\nAnswer: -3051392602970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33048, 33463, 33782, 33957, 33940, 33683, 33138?\nAnswer: 32257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/22 and (-1)\/8*-2 + (-396)\/(-312).\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/3 + 4 - (10 - 940) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 11*m**2 - 13*m + 4. Suppose 9 = -2*c - 15. Let i be b(c). Let s(v) = 11*v - 1. Let r be s(3). Calculate the highest common divisor of i and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560277735?\nAnswer: 3, 5, 4793, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.712518 rounded to 3 decimal places?\nAnswer: -1.713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -35, -4, 1, -259\/12, 0.3?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6937*a + 21 + 6845*a.\nAnswer: -92*a + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/7808980 and 53\/10.\nAnswer: 7808980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6105382 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345673243 to the power of 1\/3, to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1235160 and 1080.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 0) + (-1151 - -1182 - (-1 + -5)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n - 3. Let f be c(2). Suppose -f*r = -g + 7, -4*g - g - 29 = r. Let u(t) = t**2 - 2. What is the tens digit of u(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54474 is divided by 54328?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*n + 2504 = 3285 - 48157. What is n rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q + 8. Let t = 6 - q. Sort t, -5, -4 in descending order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/292 and -81\/4.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 12*m - 6. Let f be o(13). Solve 0 = s + f - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ruyclrrlrulflrc. What is prob of picking 1 u, 1 y, and 2 c?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 377957 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743 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: In base 15, what is -19b1 - -17?\nAnswer: -1999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-36)*n*(n*n**(-16\/9))\/n)\/(n**(-5\/3)\/(n\/((n\/n**(9\/2))\/n))) assuming n is positive.\nAnswer: n**(-533\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*o - 112324 + 36152 = 62*o. Sort -5, o, -2\/3, 3\/4, -0.2.\nAnswer: o, -5, -2\/3, -0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 25*z + 2. Let c(i) = 51*i + 4. Calculate -2*c(l) + 5*j(l).\nAnswer: 23*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3041 in 0.2, -3, 635, 5?\nAnswer: 635","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 2:07 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/10*12\/(1428\/17)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20010 (base 3) in base 10?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 9415 = 5*t, 4*t + t - 1865 = -h. Suppose -3584 = -8*x + h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/677, 2\/15, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10. Let u be (o + -1)*8\/32. What is the third biggest value in u, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.959 - -12.051. Let p = t - 0.01. Let w = 14 - p. Sort -2, 2\/7, w in ascending order.\nAnswer: -2, w, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 15 (b) -1 (c) -4\/5 (d) 0.4 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1724 = -1181*t + 31344 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 9*l**2 - l + 15. What is k(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -1\/6*z**3 - 5\/12*z**4 + 0 - 1\/20*z**5 + 212*z + z**2. Let m be 6\/15 + 27\/(-5). Give t(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -4*o**3\/3 - 18*o**2 - 32*o - 42. Let f(l) = 0. What is l?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 times 8.9\nAnswer: -898.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r + 23*r**2 - 24*r**2 + 4*r + 2 - 9.\nAnswer: -(r - 7)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + 0.38. Suppose d + 1 = 0, -5*d - 65 = -l - 4*l. Let u = 8 - l. What is the biggest value in t, 1\/3, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34\/55 + 4\/5. What is the biggest value in 2\/9, u, -1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x\/x**10))\/x)\/x)**(-4)*x\/(x\/(x*x*((x**(3\/14)*x)\/x)\/x*x))*x**21 assuming x is positive.\nAnswer: x**(-179\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/268840 and -27\/2068.\nAnswer: 268840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 59*r - 406. Let n be x(7). Let y(h) = 21*h**2 - 2*h - 2. Let d(k) = -62*k**2 + 6*k + 7. Determine n*y(o) + 2*d(o).\nAnswer: 23*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:47 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**4 + 124*i**3 - 436*i**2 - 6396*i - 11592 = 0.\nAnswer: -3, 14, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 829, 0, 1 in descending order.\nAnswer: 829, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8384 - 0.1616. What is the closest to 0.4 in i, -1\/10, -2, -35?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 333708701?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22668479.\nAnswer: 311, 72889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 181097\/20 + -9058. Find the common denominator of ((-86)\/4)\/(2 + -1) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/6)\/((-6)\/(-135)). Let d = o - 20. Solve 0 = 5*s - 0*s + d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6329697?\nAnswer: 3, 11, 59, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2522149 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)*i*i*i*(i**(-9\/5)*i)\/i*i)**(-7)\/(i**7\/(i*(i*i\/(i*i*i*i**1*i))\/i)*(i\/(i*i\/i**(6\/7)*i))\/i**(2\/7)) assuming i is positive.\nAnswer: i**(631\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 10440.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**7\/420 - a**5\/120 - a**3 - 4*a. Let i(h) be the second derivative of t(h). Find the second derivative of i(l) wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 - -103. Let u(c) = -5*c - 3. Let n(a) = -4*a - 2. Let y(d) = j*u(d) + 6*n(d). What is y(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6634130 rounded to the nearest one hundred thousand?\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1282, 3230, 5970, 9502?\nAnswer: 13826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + -14. Let i = q - -25.99948. Let p = i - 0. What is p rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/4 - -4)*2. Suppose 5*c - z = 11, c - 3 = -r*z - 5. Solve -2*w + 8 = -3*d, -c*w = -2*d - 4 - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t + 8*t - 504. Let j be (-4)\/(-10) + t\/135. Let c = 0.788 - -0.012. What is the smallest value in c, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5238)\/324)\/((-1)\/1038) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + 14 + -20 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46071751 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 703d + -8d11?\nAnswer: -1cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/459 and 43\/33.\nAnswer: 5049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -38, 5, 0, -1\/3, 2\/9, 2\/5 in increasing order.\nAnswer: -38, -1\/3, 0, 0.1, 2\/9, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -156232 (base 8) to base 6\nAnswer: -1113242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -52319798 to the nearest one hundred thousand.\nAnswer: -52300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 429\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 14. Let q be a(-13). Let v = q - 24. Solve 5*m + h = -6, -v*m + 2*h + 3*h + 2 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 21*o + 1 + 29*o - 93*o + 36*o. Determine n(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -565, -613, -673, -751, -853?\n\"Answer: -t**3 - 41*t - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3068.511 kilograms?\nAnswer: 3068511000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**4 + 770*h**3 + 182001*h**2 + 10785924*h - 439586028 = 0.\nAnswer: -318, -161, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = 4*t + 9, -5 = 3*t - r. Let x(l) = 4*l**2 + 754*l + 3674. Let p be x(-5). Sort -5, t, p, 5 in increasing order.\nAnswer: -5, t, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 12 + 8. Solve -3 = -n*v + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 + -0.19. Let r be 1*-1 - (-23)\/6. Let v = -27\/10 + r. Which is the second biggest value? (a) 3 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - 5*v**3 + v**4 - 9*v + 3*v**3 + 8*v to the form q*v + u*v**4 + z + h*v**3 + m*v**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1. Let o(h) = -h - 3. Let j(d) = -d**3 - 5*d**2 + 6*d - 1. Let v be j(-6). Calculate v*o(k) - 3*i(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 55?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 + 4 - 3 - n**3 + 2*n**3. Let u be -1*(-16)\/(-20)*(-15)\/2. What is z(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 4, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11590)\/183 + 80)*3?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497 a factor of 1088390670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 38 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.29480361 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2217977 and -1\/1785201.\nAnswer: 73193241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 4*d**2 + 9*d + 9. Suppose -b + 64 = 2*s - 13, 0 = -5*b - s + 385. Calculate the remainder when b is divided by w(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j. Let r(v) = -11*v + 181858. Determine r(i(g)).\nAnswer: -99*g + 181858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -4. Let j = k + 11. Let g = -6.9976 + j. Round g to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*h = -187*h + 3834 - 15234 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqkccpkkkkcccckkck. Give prob of picking 1 k and 1 p.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 22951200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 0*r**2 + r - 5\/3*r**3 - 4. Differentiate d(z) with respect to z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2064 is divided by 40?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28513 is divided by 425.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*o**4 + 3 - 20 - 42*o**3 + 42*o**3 wrt o?\nAnswer: -84*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*t - 4*y - 46, 5*t - 2*y = 38. Calculate the remainder when 27 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171594018 divided by 218313?\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*sqrt(196)\/sqrt(7))**2 + (sqrt(168) + (sqrt(168) - -1*sqrt(168)) + sqrt(168))\/(-2*sqrt(294)).\nAnswer: -4*sqrt(7)\/7 + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 7820*p**2 + 15653*p**2 - 7828*p**2 - 101*p to the form a + u*p**2 + h*p and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*f + 24*f + 27*f - 4 + 7*f**4 wrt f.\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 3345?\nAnswer: 2341.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -460.5285 rounded to 1 dp?\nAnswer: -460.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, w: 2, f: 6, e: 1, l: 4}. Give prob of picking 1 w and 1 e.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -191, -181, -167, -149, -127?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6842 = 31*p - 5943 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 16*i**2 - 29*i**2 + 11*i**2. Let h(g) be the second derivative of 5*g**3\/3 + 22*g. Calculate r(h(s)).\nAnswer: -200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvdddvjjd. Give prob of picking 3 d and 1 v.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/75960 and -75\/5486.\nAnswer: 987480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + i**2 - 4*i - 1. Let z(m) = -m**3 + m**2 - m - 1. Let g(k) = -l(k) + 2*z(k). Let w be g(-2). Solve -2*h = -w*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1 (c) 0.1 (d) -0.1 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/220110 and 21\/15950.\nAnswer: 1100550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2439819988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gssggggggggggggs?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.735494 weeks in days?\nAnswer: 47.148458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**6\/6 - 3*q**5\/5 + 9*q**4\/4 - 5*q**3\/3 - 6. Suppose f(r) = 0. What is r?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 2*d - 2, 3876*d - 3878*d + 6 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(121) + (sqrt(121) - (sqrt(121) - 5*sqrt(121) - sqrt(121)))*-2)\/sqrt(11).\nAnswer: -11*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11009 + -7750. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15402725?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -2. Suppose -i*j - j = 0. Suppose 0 = -3*w + 12 + 3. Solve 3*a + 4 + w = j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 174571 and 679.\nAnswer: 118533709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 63*q + 48. Give d(32).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 6. Let g be d(-7). Let a be g + (-2)\/((-2)\/17). Suppose -4*m = -5*r - a, -2*m - m + 10 = -2*r. Solve -y - m + 6 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 5*m + 28, -108*m + 12 = -109*m + 2*l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 478*d**2 - 28320*d + 28800.\nAnswer: -2*(d - 1)*(d + 120)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10333\/125 - -1\/375. Let w = z - 81. Calculate the common denominator of w and -34\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 357340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2 = -4*h + 2*h, 0 = 2*h + l + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 7. Let l be (-6)\/12 + (-7)\/h. Which is the nearest to 1? (a) 2 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 13, -2 in increasing order.\nAnswer: -2, -0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/2220 and 79\/3996.\nAnswer: 19980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -639.8 times -290.4\nAnswer: 185797.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1736292693 to the nearest integer?\nAnswer: 41669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 511624733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 298858?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**2 + 241*f - 59. What is q(60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(279*a**2 - 68*a**5 - 279*a**2).\nAnswer: -68*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n - 9. Let w be c(3). Solve -r = w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*m + 21*m + 26*m)*(3 - 5 + m + 11)*(-2*m - m + 4*m).\nAnswer: -27*m**3 - 243*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -70*j + 74*j + 4*m, 0*m + 12 = -4*j - 2*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - z - 1. Let p be ((-1)\/(-2))\/(4\/(-48)). Let n be (p\/(-3) + -5)*-1. Let i(u) = 3*u**n + 2*u - 1 - 2 - 2*u**3 + 4. Calculate 2*i(r) + 3*y(r).\nAnswer: -r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2853, 11496, 25931, 46164, 72201, 104048, 141711?\n\"Answer: i**3 + 2890*i**2 - 34*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2026 - -20293\/10. Let g = -145 - -1491\/10. What is the common denominator of g and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1795, 1471, 1147, 823, 499, 175?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*y**3 - 6*y**3 - 34*y**3 + 132 - 180*y**3.\nAnswer: -254*y**3 + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 203457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -7\/3 (b) -11 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y. Let u(i) = 81*i**2 - 4*i + 4*i - 76*i**2. Give q(u(p)).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 108564 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 180705335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 6*y + 7. Let c be r(5). Solve 2*q**5 + q**4 + 10*q - 20*q**2 - 12*q**3 - 6 + q**4 + 41*q**2 - 17*q**c = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 5410244*s**2 - 1829423963840*s + 1829418553600.\nAnswer: -4*(s - 676280)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*a**2 - 1\/2 + 1\/2*a**3 - 1\/2*a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 5*p - 1 + 6*p**2 + 2*p**2 - 10*p**2 to the form a*p**2 + y*p + w and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 85006.1 days?\nAnswer: 2040146.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54013016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1427 = 5*u + 532. Suppose u = 5*o + 59. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jrbrjbrjrlrbrrbljbj.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1010001011 (base 2) to base 9\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - -31. Suppose -9*v + j = -6*v. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 53*h**2 - 8*h + 9. Let d be r(1). Let g = d + -23. Let i(a) = -a**3 + 4*a**2 - 3*a - 3. Let p be i(3). Put g, -5, p in ascending order.\nAnswer: -5, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -6. Suppose b*t - 47 = -3*s, -3*s - t = -33 - 8. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.8913ml in litres?\nAnswer: 0.0308913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.0324 + 0.0324. Let f = -0.06 - 0.24. Which is the closest to 1? (a) -2 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from iiygngini.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 38004628.4 to the nearest 100000.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*q - 196*q = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/6 + 17*c**4\/6 - 293*c**3\/3 + 1724*c**2\/3 - 480*c = 0. What is c?\nAnswer: -36, 0, 1, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/6))**(-3\/19) assuming s is positive.\nAnswer: s**(1\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4225786 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42834323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g - 4. Let z be t(4). Suppose 4*y = 6*y - z. Suppose 0 - 3 = 3*i, 3*a = -y*i + 293. What is the highest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 9:29 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58581756?\nAnswer: 2, 3, 281, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 29. Suppose -z*s = -3*s. Solve 4*r + 3 - 19 = s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 9:14 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-14)*-1 - (-10434)\/1554. Solve -6*p + m*p + 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1835849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (-29 + 3))*4\/6. Let j = -11 - -16. What is the highest common divisor of j and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1300) - sqrt(52)\/(sqrt(16)\/sqrt(4))) + 1*(-2 + (-1*(sqrt(13) + 2))**2).\nAnswer: -7*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**4 - 2*q**3 + q**3 - q - 3*q**2 + 0*q**3 + 5*q**4 in the form j*q**2 + p*q**3 + w + t*q**4 + x*q and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136*i**5 - i**4 - 38*i**2 + 3 wrt i?\nAnswer: 8160*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*r - 164 = 205*r + 57. Solve -h + r*f = 15*f + 17, 3*h - 4*f = 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -331\/4 - -1009\/12. What is the third biggest value in m, 0.66, 23?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-6 + (0 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 136255489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2422\/(-2249))\/(6\/(-117))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 58136320?\nAnswer: 290681600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64*c*n**3 + 33*c - n**3 + 3 wrt n.\nAnswer: -192*c*n**2 - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -12984 - p**2 + 12984. Let t(z) be the first derivative of 35*z**2 - 4. Calculate t(f(j)).\nAnswer: -70*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5))**8\/(q**2*q*q**5\/q) assuming q is positive.\nAnswer: q**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78693 is divided by 539.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.5904 plus 1854?\nAnswer: 1976.5904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-42))\/((-6)\/28*(-150)\/(-45)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -5\/6*w**3 - 5*w + 0 + 1\/2*w**2. Let g be l(-1). Solve 0 = -q + g*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(-29))\/j)\/(j*j**(-3\/17)*j) assuming j is positive.\nAnswer: j**(-490\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 154, 517, 1222, 2383, 4114, 6529, 9742?\nAnswer: 13867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5139.\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1618, 1621, 1626, 1633, 1642, 1653?\n\"Answer: y**2 + 1617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5\/4 - 4095*q**4\/4 - 4077*q**3\/2 + 16383*q**2\/2 + 73629*q\/4 + 36801\/4 = 0. Calculate q.\nAnswer: -1363, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/13 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1703.97 - -1713. Let q = p - 0.03. Let z = q - 8.99999925. What is z rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*u**2*x + 3*u**2 + 9*u*x - 1673*u - 41550026*x wrt u?\nAnswer: -76*u*x + 6*u + 9*x - 1673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 3*c - 25. Let r be o(-8). Solve 0 = 4*t + t - r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -4*w + 12*w. Suppose -27*h + w = -24. Solve -6 = -h*t, 1 = -2*a - 4*t + 17 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-48)\/(-8)))\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1398?\nAnswer: 5\/1398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -81270 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1986*b**2 - 226 + 71 + 71 + 84 to k*b + l*b**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 12*j**2 - 12*j**2)*((2 + 1 - 2)*(-1 - j + 1) + 12*j + 0*j - 75*j).\nAnswer: -64*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5752914478541 - -1.\nAnswer: 5752914478542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -20*n**2 - 7*n - 15. Let a(d) = 19*d**2 + 5*d + 15. Let c(h) = -3*a(h) - 2*b(h). What is the derivative of c(y) wrt y?\nAnswer: -34*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -115*l + 234*l - 116*l. Let z(p) = 14*p**2. What is z(u(m))?\nAnswer: 126*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7067 + 7073. Solve 10*o = -4*s + 12*o, o - i = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - q**2 - q + 1. Let b(c) = 8*c**4 + 2*c**3 + 5*c**2 + 2*c - 2. Let h(p) = b(p) + 2*v(p). Find the third derivative of h(m) wrt m.\nAnswer: 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/54 + -2 + (-814)\/(-4). Solve 237 - b = 12*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 37*o**3 - o**2 - 2*o + 2. Let k be u(1). Let b(n) = 1. Let z(w) = -2*w**2 - 18. Give k*b(p) + 2*z(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8152420*k + 199*k**2 - 8152420*k.\nAnswer: 199*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + (2 - -2) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.126 and -208 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 58423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**4\/6 - 2*q - 342. Let s(l) = 1461*l. Determine g(s(m)).\nAnswer: -4269042*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -203, -2\/13, 1.815, -1\/5, 1 in descending order.\nAnswer: 1.815, 1, -2\/13, -1\/5, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f = -4. Let j be (-402)\/9 - (-12)\/18. Let n = 41 + j. Is f smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:05 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.028 + -0.02799961. What is c rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*w - 18*w = -132 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-33)\/88)*61131\/28. Calculate the highest common divisor of 82 and u.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -43*p**2 - 4*p - 20. Let i(a) = -a + 1. Let y(t) = -4*i(t) + n(t). What is the derivative of y(g) wrt g?\nAnswer: -86*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4278529313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(48)\/sqrt(2) + sqrt(24))*-4)\/((1*sqrt(12) - sqrt(12))*-1 + -6*sqrt(48)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -98 (b) -1\/4 (c) -5 (d) -1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -47127.9 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 5. Let c be i(-4). Suppose -4*g = 3 + 9, -5*z - 4*g + c = 0. Find the third derivative of -w**6 - w**6 + z*w**2 - 12*w**2 wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = -q - q, 3*k - 15 = 0. Let h = q - 7. What is the biggest value in -0.09, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3843\/27 - (1 + (-2)\/3) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2541735 - 2161385. Let x = 4703115.69999916 + t. Let a = 4.3 + x. Round a to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 144\/(-128) + 2\/16. Which is greater: 3124 or t?\nAnswer: 3124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -37. What is the greatest common divisor of l and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5 = -w, 5*w + 17 = -4*c. Is 90 - (c + (0 - 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*18\/21 - -9. Let s = 15 + -29\/2. What is the nearest to s in 5, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 t when three letters picked without replacement from nittttilnttinttilii.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(13)*3 - sqrt(13)))**2*-2.\nAnswer: -122 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 0*v + 8853742825*v**2 - 8853742831*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2417*h - 5. Let n(x) = 22*x**2 + 585. Determine m(n(t)).\nAnswer: -53174*t**2 - 1413950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93666 and 437108?\nAnswer: 1311324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-113 - -77) + 2 - -56?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77092342.\nAnswer: 2, 38546171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 43*n - 46*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107.1234 + 551.\nAnswer: 443.8766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105.66 - -105.46. What is the nearest to 0.1 in 2\/3727, f, 3?\nAnswer: 2\/3727","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 39, 2, 5 in decreasing order.\nAnswer: 39, 5, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -343*g**4 - 386*g**4 + 2484 - 1053*g**4 wrt g?\nAnswer: -7128*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(22\/(1232\/1890))*(-2)\/(-4)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3 + 3213270*s**2 - 860425341075*s = 0. What is s?\nAnswer: 0, 535545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, m: 11, s: 6}. Give prob of sequence sosm.\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 157715335 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -120 and -120 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.162 + -3.362. What is the nearest to 1\/3 in k, -4, -0.08, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.06129 millennia in centuries?\nAnswer: 160.6129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 958 and 163339.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**4\/11 + 11380*v**3\/11 + 170958*v**2\/11 - 376052*v\/11 + 193715\/11 = 0?\nAnswer: -17, 1, 11395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m - 10. Let f(t) = 42*t. Determine f(j(k)).\nAnswer: 462*k - 420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*p + 3*m, -3 + 23 = -4*m. Let s(g) = -g**3 + 2*g**2 - 1. Calculate the smallest common multiple of p and s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1868.34128 to one decimal place.\nAnswer: 1868.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1295, -2590, -3885?\n\"Answer: -1295*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -391357\nAnswer: 6\/391357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pssfppsssf. Give prob of sequence ff.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 293 - 176. Let h = -110 + t. Is -3 + h\/(35\/2000) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/((-215)\/(-4))*(-30)\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2169808, 2169817, 2169830, 2169847, 2169868, 2169893?\nAnswer: 2169922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*p + 15*p + 7*p**3 + (-2 + 8 - 1)*(0*p**3 - 6*p**3 + p**3) - p**2 + p**2 - 2*p**3.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.03 and -2936335\/46 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5707\/282 + -9\/94. Let l(m) = 2*m**2 + 7*m + 3. Find the common denominator of l(-6) and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/161 (b) -2\/7 (c) 0.3 (d) 5 (e) -2\/259 (f) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4579489504 take away -0.1?\nAnswer: -4579489503.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78583.\nAnswer: 78583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 124699.2371 to the nearest one thousand.\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 9602208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*j**5 + 328905*j**4\/4 - 205370*j**3 - 1299825*j**2\/4 - 37250*j = 0. Calculate j.\nAnswer: -1, -1\/8, 0, 40\/11, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(10\/(-20)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 73. Suppose -34 = d*b - 90. What is the remainder when 1640\/28 - (8\/b)\/1 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1304, 2\/13, -2?\nAnswer: 1304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**3 - 6*g**2 + 7. Let v be l(-3). Let o = v - -169. Suppose -10 + 30 = 4*z. What is the remainder when o is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (197\/6 - -10) + 2\/12. Suppose 112*q = 113*q - g. Calculate the remainder when 121 is divided by q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0083 and -124?\nAnswer: 123.9917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 627 by 3458.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644 is divided by 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 79870.1*13\nAnswer: 1038311.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273 + 436. Suppose -161 = -2*l + j. Calculate the highest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*(105 - 27887\/237)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 3 + 1 + 0 - 2*h in the form u*h + r and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**3 + 567*y**2\/2 + 598. Suppose s(o) = 0. What is o?\nAnswer: 0, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*c + 3. Solve 0*l = -l + c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/22)\/(2*3\/72).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/(j*j**3))\/(j**(-2\/3)*j*j*j)**(2\/177) assuming j is positive.\nAnswer: j**(-545\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**5\/5 + 2*b**4\/3 + 10*b**3 - 72*b**2 - 278*b. Factor u(i).\nAnswer: -4*(i - 3)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649720 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 1 + ((-1425620)\/6552)\/85 and 173\/30.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66\/(-8) + 4\/16. Let a(l) = -2*l - 11. Let j be a(y). Let r be -1 + (-4)\/((-4)\/21). Solve -5*g - 20 = -5*f, -f = j*g - 5*f + r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -0.258 in decreasing order.\nAnswer: -0.258, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 2) + (116 + 1 - 51).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -17*m - 5. Let k(x) = -x**2 + 16*x - 49. Let w be k(4). Let h be q(w). Calculate the greatest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 - -5492.\nAnswer: 5416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52.71 + 53. Let h = l + -0.3324. What is h rounded to 3 dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 7*m - 8, -6*b - 18 - 12 = -2*m + 5*m for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-6 - -8 - -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(4\/6))\/(9\/138). Suppose 28*t - 33*t**2 - 24 - 7*t**3 - a*t**2 - t**2 - 14*t**3 + 74*t = 0. What is t?\nAnswer: -4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19944 - 10411. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60654924 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16720, 66622, 149802, 266266, 416020, 599070?\n\"Answer: w**3 + 16633*w**2 - 4*w + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = -2*u + 6, 4*u = 3*d - 6. Suppose -4*m + d*y + 2*y = 168, -2*m = -5*y + 84. Let l = m + 71. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.57 * 13\nAnswer: 7.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -228600*l - 12*l**2 + 3 - 4*l**3 + 228588*l - 7.\nAnswer: -4*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -13 + (3 - 5 - (-7 - -2)). Suppose -2*k = -7*k - 60. What are the prime factors of (k\/f)\/((-33)\/(-440))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*i - 8*b**2 + 202*b*i - 9*b + 3*i + 3 wrt i?\nAnswer: b**2 + 202*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -0.1 (c) -0.4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 + -103303?\nAnswer: -110031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -42.11*59\nAnswer: -2484.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 10, 1\/3, 1\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**2\/2 - 1. Suppose 0 = -5*u - 20, -u + 1 = 5*n - 5. Let c(r) = -4*r**2 - 7*r**2 + 13*r**n. Calculate c(k(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*r + 2*h - 805 + 901, 3*h + 13 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 - 93. What is the smallest value in 0.4, -1\/8, u?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:20 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:35 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(119\/(-51))\/7.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.11593 and -21.\nAnswer: -21.11593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 844 + 1180 = -92*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 4:02 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2 - 69248*z + 299705344 = 0.\nAnswer: 8656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -3*z - 25, -y - 8*z + 10*z = -8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594623949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653*u - 86*u**2 + 653*u.\nAnswer: -86*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 - ((3 - 1) + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -6.6634.\nAnswer: 1.33268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + p - 12 = 0, -2*p = 28*t - 32*t + 24. Suppose 4*h - 3*w - 1905 = 0, 0*w = -5*h - t*w + 2389. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1849652940 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8686555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 5. Let v(o) = o + 34. Give 2*k(i) + v(i).\nAnswer: -i + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 25622191.\nAnswer: -1\/25622191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 3 - 3)*(-2729 + 1569*j + 2729) + 0*j**4 - 3*j**4 + 5*j**4.\nAnswer: -3136*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -0.04, 6278?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9889 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: Round 4946180 to the nearest ten thousand.\nAnswer: 4950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5304 + -2374. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444352 is divided by 340?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 16. Suppose 3*h = -0*a + 2*a - 20, 2*h + i = a. Suppose 2*q = 44 + a. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 36*p + 82. Suppose 0 = 6*m - 117 - 87. Let i be d(m). What is the highest common factor of 21 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*i - 6 - 39 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 5*v - 3. Suppose 0 = -2*y - 1 - 1. Let z(a) = -a. Let c(w) = y*d(w) + 5*z(w). Differentiate c(n) wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -390 + 405. What is the highest common factor of 12 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1092 and 5160792.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**4 + 50*w**3 - 83*w**2 + 63*w - 13. Let x(n) = -2*n**4 + 25*n**3 - 42*n**2 + 32*n - 7. Let c(s) = 3*r(s) - 7*x(s). Factor c(m).\nAnswer: 5*(m - 2)*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuukukk. What is prob of picking 1 u and 1 k?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 153768883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*n - 97*n + 211*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 262*b**6\/5 - b**5\/30 + 13*b**4\/12 - b**3\/2 - 3*b**2 - 727. What is the third derivative of m(g) wrt g?\nAnswer: 37728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001664033 to seven dps.\nAnswer: -0.0001664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -150922.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - -39 - (1 - -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-4 - (33 + 2)\/(-5)). Suppose 3*r = -46 + 61. Solve -3*o = 9, -i*f + 0*f + r*o + 25 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + (sqrt(1539) - (3 + sqrt(1539)))*4 - (sqrt(1539) - (sqrt(1539) + 1)*-2) - 6*(-3 + (sqrt(1539) - (-1 + sqrt(1539)))*-6 + sqrt(1539)))**2.\nAnswer: -5760*sqrt(19) + 100096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 1:18 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3)*(-2 + 5). Let b be i\/(-8) - (-26)\/8. Suppose 0 = 24*d - 20*d - 52. Solve -b*v + 2*t = -23, -4*t - 3 = d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*s = 10621, -41*s = -4*h - 42*s + 42408. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*54\/(-24))\/(2175\/(-290))*(-8)\/6.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Suppose -3*u + i = 199, u + i + h*i + 53 = 0. Is (0 + (-12)\/10)\/(1\/u) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**5\/60 - k**2. Let q(u) = u. Let d(v) = v. Let a(f) = -2*d(f) + q(f). Give a(r(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 3 + -7 + 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*l + 19, 2*r + 3*r - 3*l - 35 = 0. Suppose 0 = 3*p + r*p + 21. Sort 5, p, 4 in ascending order.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 + n**2 - n**2 + 3*n - 3*n - 3*n**4 + (2 - 2 + 2*n**3)*(0*n + 3*n + n).\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 1194*i**4 + 1195*i**4 - 9*i + 32*i**3 + 8*i + 2 - 6*i**3 + 9*i**3 in the form k*i**2 + w*i**4 + t*i + b + r*i**3 and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.3, -1826 in increasing order.\nAnswer: -1826, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4933*n - 4939*n + 9 + 8 - 17.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 305d5 (base 16) in base 7?\nAnswer: 1453361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 3)*(-10 + 8 + 15)*(2*f - 8*f + f)*(3*f - f + 0*f) + (3*f - 2*f + 3*f)*(3 - 3 + 2*f) as w + y*f**2 + n*f and give y.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f + 4 = 0. Let n = 1305 + -1274. Suppose i - v = 9, 36*i - 37 = n*i + 3*v. Solve 5*x + f*g = -i, -x + 4*g + 11 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 10:56 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 120*i**2 - 2371*i - 18. Give f(20).\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (334\/(-4))\/(14\/28). Let i = u + 1171\/7. Factor 2\/7*v**4 + 2\/7*v**3 - i*v - 2\/7*v**2 + 0.\nAnswer: 2*v*(v - 1)*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 15. Suppose 3*t + 18 = s, -5*t = 1 + 24. Suppose 5*z - 64 = s*z. What is the remainder when z is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:03 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 234122 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f**3 + 138*f**2 + 418*f + 222. Let l(a) = 13*a**3 - 276*a**2 - 835*a - 447. Let v(m) = 2*l(m) + 5*s(m). Factor v(j).\nAnswer: -3*(j - 18)*(j + 2)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1639478297?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -0.01.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/135 and 2\/9.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -261*v**2. Let h(w) = -130*w**2. Let d(u) = -7*h(u) + 3*z(u). Let a(x) = 2*x. Give d(a(i)).\nAnswer: 508*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 8*r + 3. Calculate w(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) 2 (b) -2 (c) -5 (d) 13764\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.316051 kilograms in tonnes?\nAnswer: 0.000316051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1488766*r**3 + 814688*r**2.\nAnswer: 8932596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:41 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(8\/5)*m*m)\/(m*m*m\/m**7))\/(((m*m\/m**(-5\/6))\/m)\/(m**(6\/11)\/m)) assuming m is positive.\nAnswer: m**(2413\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 0.3 (b) 0.64 (c) -1 (d) 3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 410534*d**3 - 299845*d**2.\nAnswer: 2463204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a. Let s(p) = 13*p. Let m(k) = -20*k - 5. Let d(y) = 9*y + 2. Let q(u) = 5*d(u) + 2*m(u). Let v(z) = -11*q(z) + 4*s(z). Calculate i(v(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 + -63. Let r = -31 + n. Suppose 46 = -2*y + r. Which is greater: y or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 32 - 3\/2*q**2 + 64*q. Calculate the remainder when x(0) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -397*r**2 + r. Let j(m) = 2*m**2 - m**2 - 2*m**2 + 1407*m - 1407*m. Determine j(s(p)).\nAnswer: -157609*p**4 + 794*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 + 12*b - 13. Let v be 498\/102 + 0 - (-8)\/68. Determine p(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 27553 = 5*p, 2*p - 5*c = -2*c + 11006. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 169 + 441a?\nAnswer: 4588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - r + 17 = 2*r, -4*u + 18 = 2*r. Calculate the lowest common multiple of (-10)\/(-5) - u\/(10\/(-12)) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 5 + 2 + -4 + 6 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-6)*4*3. Let f be 639\/72 - y\/16. Suppose -2*q + f = q. Solve -3*x - 17 = -5*s, 5*x - 2*s = q*s - 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s + 15 = 0. Suppose 0 = -2*d - s*d + 28. Suppose 5*z - d*z - 7 = 0. Calculate the highest common factor of z and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h**2 + 7*h**2 + 0*h**2 - 6*h**2. Let d(x) = -x + 2*x + x. Calculate d(g(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 - 2*u**3 + 0*u**3 + (2010 + 286*u - 2010)*(-2*u**2 - 5*u**2 + 6*u**2).\nAnswer: -288*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 15 = -4*d, 0 = k + d - 8. Suppose -k*c = -8*c. Solve 0 = -c*n - n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224189370 by 111537.\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/5348 and -59\/28?\nAnswer: 5348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 22*f - 781. Give x(-48).\nAnswer: 2579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010071046 rounded to 6 dps?\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 451\/2 or 225?\nAnswer: 451\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -74, -32, 38, 142, 286?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)*u*u**(1\/4)*(u\/(u\/(u\/(u**(1\/5)\/u))))\/(u\/u**5*u)*(u**(-11)*u\/u**(-8))**(4\/3) assuming u is positive.\nAnswer: u**(-157\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, 1 d, and 1 o when four letters picked without replacement from {p: 1, o: 1, d: 4, y: 2, k: 1}.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 4, f: 4, o: 3, e: 2, l: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5dc29 (base 15) in base 12?\nAnswer: -125563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3117.673 + 3119. Let q = l + -0.327. Put -2\/7, -4, q in ascending order.\nAnswer: -4, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15034*h**2 - 403*h. Let r(d) = 22*d. Calculate r(u(v)).\nAnswer: 330748*v**2 - 8866*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**4\/2 + 2*k**3\/3 + 5. Factor u(d).\nAnswer: -2*d**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 194. Suppose 5*l + 4*i + 328 + 1122 = 0, 4*l - 4*i = -1160. Let u = d - l. What are the prime factors of u?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + -6*(sqrt(143) - 3*sqrt(143) - sqrt(143) - sqrt(143)))\/((-1*sqrt(121))\/sqrt(11)).\nAnswer: -25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35947384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 258950 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 15*z + 82. Determine k(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + s**3 + 0*s**3 + s**3 + s**3 - 36*s**3 + (s**2 + s**2 + 0*s**2)*(3*s - 3*s - s) - 2*s**3 - s**3 - s**3 + s**3 - 6*s**3 + 0*s**3.\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(1\/7))\/v)**(-15\/8)*v**(3\/4)\/(v\/(v*(v**(2\/3)\/v*v)\/v)))**(1\/4) assuming v is positive.\nAnswer: v**(115\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 17*r. Let c(a) = -52*a**2 - 3. Give c(d(j)).\nAnswer: -15028*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557794.\nAnswer: 2, 151, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2368821 is divided by 10866.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, w: 2, l: 7}. Give prob of sequence lwtl.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6940930 to the nearest one hundred thousand.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b + 30*b + 384 - 189 + 19*b - 236 wrt b?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 1, -821313, 4, 5 in decreasing order.\nAnswer: 5, 4, 1, 0, -4, -821313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1418459*o**5 + 8*o**4 + 159541*o**2.\nAnswer: -85107540*o**2 + 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 199254 or 597763\/3?\nAnswer: 199254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053896 rounded to five decimal places?\nAnswer: -0.00539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 52*d - 667. Let s be h(-23). Suppose -2*u + 12 = r - 7*u, -2*r + 2*u = 0. Let v = -15 + 23. Put r, v, s in increasing order.\nAnswer: r, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z + 1589 = 6658. Is z smaller than -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 = 3*y + 5*m + 400, 3*y + 20 = -m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 615*w + 6359. What are the prime factors of s(47)?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 + 4*u**5 - 4*u**5 + (u - u + 5*u)*(3*u**4 + 0*u**4 - 2*u**4) + 4*u**5 - 3*u**5 - 3*u**5.\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 25*p**2 - 25*p**2 + (-3*p**4 - 2*p**4 + 4*p**4)*(-2 + 0 + 5) - 2*p**2 + 2*p**3 + 4*p**4 - p**4 + p**2.\nAnswer: -p**4 + 2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5850 divided by -18.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74908749*d**3 + 352085891?\nAnswer: -224726247*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = n + 1. Suppose -4*g = 2*r - 158, n*g + 17 = -4*r + 329. Suppose -5*v - 2 = -r. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 113 - 4*s - s**2 - 2*s**2 - 114 + 100*s**3 - 56*s**3 in the form f*s**3 + g + u*s**2 + z*s and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = n - 3*n + x, 4*n + 4*x - 984 = 0. Let u(w) = -123*w - 129*w + n*w. Let c(i) = -i**2. What is u(c(r))?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-1021.\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*s - 20 = 0, -4*s = -0*s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvv. What is prob of picking 4 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 40. Suppose -3*q = -0*q - z. What is the least common multiple of q and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 15655\nAnswer: -2\/15655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p**2 + 3 + 3*p - 1 - 4*p**2. Let r(f) = -f**2 - 9*f**2 + 14*f**2 - 4 - 7*f. Let c(k) = 2*k + 6. Let v be c(-5). What is v*r(j) - 9*y(j)?\nAnswer: 2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 7:01 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxx when three letters picked without replacement from {e: 3, c: 8, x: 7}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1659 - -2151. What is the highest common divisor of 615 and p?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 3*y + 2. Let v be j(-3). Let g = 3 - v. Let p be ((-2)\/8)\/(2 + 18\/(-8)). Are g and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17, 35, 53, 71?\n\"Answer: 18*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28\/16 + (-2408450)\/(-40) - 12\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288410 (base 10) in base 3?\nAnswer: 112122121212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10)*5\/(-3). Let w = -0.6 + 0.2. What is the nearest to m in w, 0.3, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -933*y**5 + 3175*y**2 - 42*y - 186*y - 3176*y**2 wrt y?\nAnswer: -55980*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2127 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 1.29.\nAnswer: -2.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*p - 221 = 0, -5 = 3*p - 2. What is the smallest common multiple of 35 and o?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 314, 612, 896, 1172, 1446, 1724?\n\"Answer: i**3 - 13*i**2 + 330*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(931) + -1 + -4 + -1*sqrt(931)*-2*-1)**2.\nAnswer: 504*sqrt(19) + 14977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, 2\/9, -2.66, 411\/5 in increasing order.\nAnswer: -2.66, 0.2, 2\/9, 5, 411\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17746.0227095 - -17746. Round k to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (478 + 40 - 93)*(-2*j - 2*j + 0*j + 4*j + 0*j - 3*j + (0 - 1 + 2)*(1 + 2*j - 1)).\nAnswer: -425*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 0*b + 4*t = -17, -2*t = 2*b + 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -315, -549, -783?\n\"Answer: -234*w - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 11. What is the tens digit of i(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 i, and 1 g when four letters picked without replacement from {g: 3, n: 2, i: 3}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of (4 - (-39)\/(-12))*4 - -355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 205956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 + f**5 - 6*f**5 + (2 - 1 - 2)*(f**5 - 3*f**5 + 4*f**5) - 2*f**5 + 3*f**5 + 0*f**5 - 3*f**5 + 7*f**5 + f**5 + 41*f**5 - 5*f**4 + 5*f**4.\nAnswer: 43*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 8, 4 in descending order.\nAnswer: 8, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0277453 to four dps.\nAnswer: 0.0277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 2*d - d)*(2*d - 2*d**2 - 2*d).\nAnswer: 6*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -205 + 121. Let y = u + 86. What are the prime factors of (1 - y) + 4 - -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26\/(-6))\/(4\/(-36)). Let l be (-6)\/u + (-1876)\/(-26). Suppose 4*q + 2*q = l. Calculate the remainder when 59 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.238 (c) -261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 79730*z**2\/3 - 1084348*z\/3 + 272\/3 = 0.\nAnswer: 2\/7973, 68\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 190, 696, 1542, 2728, 4254?\n\"Answer: 170*a**2 - 4*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 75900 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -415, 3, 4, 15, -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12702, 12691, 12664, 12615, 12538, 12427, 12276?\nAnswer: 12079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 1427382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.26485 centimeters to meters.\nAnswer: 0.0426485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -58*a**2. Let v(x) = 5*x + 14. What is c(v(d))?\nAnswer: -1450*d**2 - 8120*d - 11368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7315 divide 3337461526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -13 - 10) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - ((-20 + 43 - 1) + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7)*1*(1 - 0). Let d = 17.9 + -16. Let n = -0.1 - d. What is the second biggest value in 1\/7, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 10:53 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5886*g - 306073. Give t(52).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1250 (base 8) to base 10.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*sqrt(175) + sqrt(175) + 2 + 1)**2 - ((0 + sqrt(175))*5 - (sqrt(175)*2 + 1))).\nAnswer: 75*sqrt(7) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r. Let s(u) = -38805527*u. Calculate n(s(m)).\nAnswer: -77611054*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 6 = 4*u, 0 = 9*u - 11*u - 3*t + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 170. Is 441\/4 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.3 + 1.3. What is the biggest value in 5, v, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u. Let r(g) = -554*g + 1029*g + 353*g**2 - 475*g. What is r(f(c))?\nAnswer: 353*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.287648 weeks to hours.\nAnswer: 1224.324864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2. Let b(z) = -1016*z**2 - z + 5. Give b(o(n)).\nAnswer: -1016*n**4 + n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-6))\/(8\/((-16)\/2))*-5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2987 divide 7240276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-154))\/(-2*60\/16)*30\/15.\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 183556876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 68 = 2871*b - 2871*b, -3*b - 35 = b + 3*g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9464335 to the power of 1\/2, to the nearest integer?\nAnswer: 3076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**6\/1260 - g**5\/90 - 21*g**2 + 39. Let h(m) be the second derivative of j(m). Find n such that h(n) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -0.1 (c) 2 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 114, 1\/4, -2, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 448.297 weeks?\nAnswer: 271130025600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 223230 (base 4) to base 2\nAnswer: 101011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i\/(i*i\/(i\/i**(-21)))*i)\/i*(i*i*i**0)\/i*i*i**(3\/4)\/i*i*i**(-1\/14)*i assuming i is positive.\nAnswer: i**(719\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (6 - (-14 - -10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 38. Let n be w(-5). Solve 0 = 4*o - q + 7, 3*q + 0*q = 3*o + n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + r = 13895, d - 5*r + 2573 - 9515 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71872000 rounded to the nearest 1000000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/20 - 12\/(-5). Let x(o) = 3*o + 2*o + 3*o - d*o. Let r(j) = j. Give r(x(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 24 = 3*g, -3*g - g + 67 = 5*a. Let t = 16 - a. Suppose -126 = -t*y - 31. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37571767 (base 8) to base 12.\nAnswer: -2952987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -28*d + 30. Let b be s(-6). Let z = b - 176. What is the remainder when 39 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 24*a**5\/23 + 57434*a**4\/23 - 167726*a**3\/23 - 14376*a**2\/23 = 0.\nAnswer: -2396, -1\/12, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-15 - (0 + -8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - -1 - (78 + -15). Let u = x + 81. Calculate the greatest common divisor of u and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*s + 30. Let l be s\/34*2\/(-4). Let m be (-1 - (-6)\/15)*(-13 + (-9 - -17)). Which is the nearest to m? (a) l (b) 5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(99)\/sqrt(3)*-4)\/(sqrt(192)*-3 + sqrt(192) - sqrt(192)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 * 68.\nAnswer: 244.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*n**3 + 2826*n**2 + 78987*n - 19920 = 0. What is n?\nAnswer: -83\/6, 1\/4, 80\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**7\/7 - 9*d**6\/10 - 51*d**5\/10 - 3*d**4 + 16*d**3 + 63*d**2\/2 + 889*d. Solve m(r) = 0.\nAnswer: -3\/2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -694, 3\/2, -1\/6, 0.6, -5 in increasing order.\nAnswer: -694, -5, -1\/6, 0.6, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121123.\nAnswer: 121123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 2*k**2. Let d be q(-2). What is the highest common divisor of 12 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 + n**2 - 2 + 2 to h*n**2 + b + t*n and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9*-9)\/(((-902)\/132)\/41)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 49. Let h be 1\/4 - (6 + 28\/b). Let a = 5 - 2. Put -3\/5, a, h in increasing order.\nAnswer: h, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35656*n*r**2 + r**2 - 5*r + 150 with respect to n.\nAnswer: -35656*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1216) - (sqrt(1216) - sqrt(1216)*1))*2*-4*4 + 4)**2.\nAnswer: -10240*sqrt(19) + 31129616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*s - 3*s + 12, 3*s - 4*c = 10. Calculate the lowest common multiple of 5 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -26 in increasing order.\nAnswer: -26, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/83, 1\/3, 5\/3, -0.5, -900 in ascending order.\nAnswer: -900, -0.5, -2\/83, 1\/3, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -9 (c) 1206\/5 (d) 815\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, l: 7}. What is prob of picking 3 l?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28c - 5?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7912 - -39561\/5. Let s = 0 + 0.5. Let h = 0.2 - s. What is the closest to 2 in h, k, -1\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 25572?\nAnswer: 281292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuyyyyuqhhyiqqqq. Give prob of picking 2 u.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2581*a + 1096*a**4 + 79*a**5 - 2*a**3 + 1718*a - 1099*a**4 - 56*a**5 + 3*a**3 wrt a?\nAnswer: 460*a**3 - 36*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - 5*x = 37, -4*g = -2*x - 26. Let t be 10\/(-15) + g\/(-3). Is 12 a factor of ((0 - -1) + t)*-24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/(y*y**(-2\/7)))**(-34)\/((y\/y**(-2\/13)*y**3*y*y)\/(y**(-1\/4)*y*y**(-3))) assuming y is positive.\nAnswer: y**(5781\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/4 - 2. Let y = 139 + -134. Let u be 2 + -2*14\/20. Which is the nearest to 1? (a) u (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**4\/24 + 3*k**3\/2 - 11*k**2. Let j be l(-15). Let y be ((-4)\/8)\/(1\/(-8)). Solve -y*s - 4 = -j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0204 + 1.6?\nAnswer: 1.5796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-70)*3780\/(-1134).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*u - 356 = -121, u + 56 = n. Suppose 48 = 2*v - 4*o, -5*o = -4*v - n + 144. What is the lowest common multiple of 10 and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 955 divided by 191\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008314 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4134033.\nAnswer: 3, 459337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -550*z - 3281. Give v(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 22*k + 19 + 105 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4833, -19325, -43467, -77247, -120653?\nAnswer: -173673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -23*g**2. Let l(y) = 15761*y. What is l(f(v))?\nAnswer: -362503*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 74.1\nAnswer: -7.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0293 - -0.5713. Let z = -78.761 - -79. Let j = o - z. What is j rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228114 and 81282?\nAnswer: 7071534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-968)\/(-16456))\/(2*2\/(-16))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Suppose -24 = -p + g. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 11 = -37. Let f = 28 - 40. Let a be (-303)\/l - (-3)\/f. Solve -3*j + a = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2016 and -7\/3410016?\nAnswer: 71610336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -921 + 619. Let j = o - -364. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23577 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -1 (c) 42\/73 (d) -0.04 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -5. Let v = 11 - c. Sort -1, 1\/3, v in descending order.\nAnswer: v, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.857? (a) 3 (b) 1.018 (c) -1\/2 (d) -2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140*31*(-26)\/(-3224).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 1, -38531?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -11. Let g be 3 + 135\/9 - (-2 + 14 + -5). Solve -10 = -o*m + g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.68 and -4381.\nAnswer: 2979.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t\/(t\/(t**(-22\/9)*t)))\/t*t)))\/t**29*t**(-20)*t**33\/t assuming t is positive.\nAnswer: t**(-166\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j = -53*j - 6. Is j at most as big as 2\/223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210190788 divided by -1130058?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.431 and -4.43258.\nAnswer: -1.91044198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15520192 divided by -32?\nAnswer: -485006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340 = -16*a - 52*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 - 128. Let t = i - -110. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-24)\/(-18)))\/(3\/(-10)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a. Let p(w) = -1064*w. Determine p(s(i)).\nAnswer: 3192*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -2*d + 16. Let z be 28\/42 + d\/6. Solve -4*x + z*m = -4*m + 20, 3*x - 5 = -2*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 3*z = -420. Let x(u) = u**2. Let t be x(-2). Suppose 0*k - t*k = -48. What is the highest common divisor of k and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 5535844.\nAnswer: 27679220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zayzzyozzyzzkuzzzzyy. What is prob of picking 1 z, 1 y, and 1 k?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 8:15 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2650143024.\nAnswer: 2, 3, 18403771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 21 = 8*v. Let o(x) = 7*x - 31. Let z be o(v). What is the highest common divisor of 12 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1016*p**3 + 15*p + 1013*p**3 + 0*p**4 - 3*p**4)*(-p - 2*p + 4*p).\nAnswer: -3*p**5 - 3*p**4 + 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -0.5 (b) -2 (c) -1326 (d) -251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15221\/90104092 + -1\/35516. Let v = a + -31707\/27907. Find the common denominator of v and -59\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.3, 0, 3\/11, 4\/5 in decreasing order.\nAnswer: 4\/5, 0.3, 3\/11, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + (-2)\/2 + 3. Let q be 2\/x + 912\/27. What are the prime factors of q\/6 + 2\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.67 + 19. Let x = u - 0.03. Which is the biggest value? (a) 6 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**3 - 3*g**3 - 9*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102201102 (base 4) in base 5?\nAnswer: 41304002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -1 (c) 2 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from crererrmrieemceereir?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -3*k**5\/2 - 505*k**4\/24 - 125*k**3 - 107*k**2. Let r(u) = 11*u**2 + 63*u + 94. Let l(i) = 25*r(i) + 3*v(i). Factor l(s).\nAnswer: 5*(s + 2)*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16989415 a multiple of 1051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + d - 2*d - 42*d**3.\nAnswer: -42*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.01, 0.062349, 2, 0.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13170*q - 2. Let v(w) = -2*w**2. Determine v(o(c)).\nAnswer: -346897800*c**2 + 105360*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 10) to base 3\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/((-270)\/(-3072))*(-1 + -4). Let j be (-4 + 1)*6\/(-9). Suppose j*c - 4*o - x = 0, -5*c = -0*c + 2*o - 1268. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.541 times 0.5?\nAnswer: -1.2705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -10*j**2 - 210*j - 56. Determine n(-17).\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2202030 - 1?\nAnswer: 2202023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38339*y**3 + 31869*y**2 + 1 wrt y.\nAnswer: 230034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131551.\nAnswer: 7, 18793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1097 - 1097. Let x = -1 + 1.3. What is the third smallest value in -2\/5, x, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 + 127*r + 414. What is y(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + 10. Calculate q(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5928555808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4 = g, 0 = -3*b + 4*g + 1 + 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.046 + 3.146. Let r = z + -3.23. Let a = r - -2.13. What is the nearest to a in -0.1, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161554 <= 162284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a - 7. Let o = -32 + 27. Let m be k(o). Is -26 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49333431?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -4, 2 in decreasing order.\nAnswer: 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 269?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.4. Let f = 1124 - 1138. Let o = -19 - f. Which is the third smallest value? (a) 2 (b) o (c) 4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) 1.3 (c) 2\/5 (d) -2\/169 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 28*v**2 + 56*v - 9. Let r be x(-2). Let l(w) = -w**3 - 10*w**2 + 10. Calculate l(r).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1967424 and 450868.\nAnswer: 21641664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/51)\/(((-14)\/49)\/(4\/7))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlzllzllzzlll. What is prob of sequence zlzz?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.28885 to one dp.\nAnswer: 102.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 375 and 70264875.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 805786302 to the nearest integer?\nAnswer: 28386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3350393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 1. Let j be i\/(-27) + 215\/45. Let c(u) = -9*u + j*u + 3*u. Let y(l) = -6*l**2. What is y(c(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2275\/11 + -207. Suppose -53 + 63 = 5*s. Which is the third smallest value? (a) -2.6 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-26 + 0 - (-6 + -3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = -3*h + 7826. Is h a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let w(h) be the second derivative of 0*h**2 + 0 + 5\/3*h**3 + 7*h. Calculate w(a(n)).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28412172331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 71?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 6*y**2 - 8*y - 9. Let t be b(-7). Sort -0.4, 1\/6, t in increasing order.\nAnswer: t, -0.4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*o**3 - 119*o**3 + 61*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 384.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgppvwt. Give prob of picking 1 w and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 7*j**2 - 4*j - 1. Suppose 0 = -2*r - 2*r - 24. What is the units digit of u(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 17895*g + 1141176. What is u(-64)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*v + 9 = 6, 3*k - 12 = -v. Calculate the smallest common multiple of 5 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19168 divided by -599?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -258*j + 1015*j - 19682 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7))**24)**(-31) assuming p is positive.\nAnswer: p**5208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40 + (13 - 23) + -15 + 9\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjjsntissinnssl. Give prob of sequence sil.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/1*(-4)\/(-300).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -216. Suppose -5*t + h = 3*c, -5*t = 3*c - 6*c + 148. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -264 - -267. Let c be (-8)\/20 + 9\/10. What is the third smallest value in c, k, -1\/11, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2046 (base 8) in base 4?\nAnswer: -100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6645964 is divided by 305.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926 is divided by 235.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2188 and 107\/2516?\nAnswer: 1376252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1880492 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n. Let j = 169 - 174. Let r = n - j. Solve 4*w - r*a = -32 + 5, 2*a = -3*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(2\/11)\/v))**(1\/29)*v**(-8\/3)\/v**(-4) assuming v is positive.\nAnswer: v**(1336\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48657 - 31122 = 5*z. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(264\/12)*5\/(-25)*1.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111 - -1001001011011?\nAnswer: 1001000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17841 to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -7.7 (c) 5.1671\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = s + 2*s. Let a be 9\/(27\/s) + -2. Suppose c - 4*f = 44, a*c - 112 = -0*c + 2*f. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-673)\/(2\/10 + 4\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 244.57 - 243. Let p = 70.57 - d. Let t = p - 69.174. Round t to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1701893652 to the nearest integer?\nAnswer: 41254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80440\/74907 + 306\/287. Which is the nearest to 0? (a) -0.1 (b) l (c) -1\/68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.746 - -0.054. Let p = s + 0.2. Let c = 54 + -53.9. What is the third smallest value in 1, 4, c, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100001001011 - 11101010001?\nAnswer: -101111110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0)**(-41))**19 assuming t is positive.\nAnswer: t**(-779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -62448 (base 9) to base 13\nAnswer: -15998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 374 - 11219\/30. Let k = 458\/15 - i. Find the common denominator of -85\/8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 4*m**2 - m - 3. Suppose 3*w = 13 + 5. Let u be ((-3)\/w)\/((-1)\/(-8)). Calculate y(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*n**3 + 0*n + 4*n - 4*n.\nAnswer: 88*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2756424*k**5 + 4373165*k**2 wrt k.\nAnswer: 165385440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/3*(3 + 120\/(-4)). Let s be (-2)\/14 - (-30)\/14. What is the units digit of p\/(-6)*(s + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/((-3800)\/24))\/(6\/(-40)*2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 13*v + 263 = 7*f, 2*f - 73 = v. What is the highest common factor of f and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 90. Let l = -31 + h. Calculate the least common multiple of 14 and l.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.7 + -15.7. What is the second biggest value in 1, r, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 26*z + 120. Let m be v(-30). Solve 5*y = t - 16, -3*t = 4*y - m*t + 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of -14 - 1102080\/(-90) - 2\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*h + 3*h. Let n be h - (-8)\/(-3)*(-21)\/14. Solve 0 = 3*y + n*w + 26, -5*y - w = 4*w + 35 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/6, 8228, 12\/107?\nAnswer: 12\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (0 - -2 - -3). Let i = w + -6. Suppose -3*q + 75 = -i*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = -o - 22*g + 319, 5*g = 0. Suppose -323*i = -o*i - 988. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 7. Let v be n\/6*(-3)\/(-6). What is the nearest to v in 5, -0.2, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182.1 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**4\/8 - 4*p**2. Let m(y) = 2*y - 6. Let o(n) = 0 - 10 - 7 + 6*n. Let f(h) = 17*m(h) - 6*o(h). What is f(l(a))?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, k: 3, c: 6}. Give prob of picking 1 k and 1 c.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*y + 27*y - 29*y)*(-1 - 3 + 2)*(-2*y**2 - 3*y**2 + 4*y**2) as i + g*y + f*y**3 + m*y**2 and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqqbbxbqbqbbqmmbbbqb. What is prob of sequence xqb?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 18 (b) 0.17 (c) 0.1 (d) -3186\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-4)\/8*(-14 - -16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 13 = 17. Suppose -4*m = s - 469, 16*s - 339 = -3*m + 11*s. What is the remainder when m is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 7:29 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12892914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19346*l**2 - 26991*l**2 + 46322*l**2.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-285)\/90 + 3\/18. Is x at most as big as -169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60336719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 3. What is the least common multiple of 4\/(-1)*(-12)\/3 and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 4*j + 3*j)*(0*j + 4*j - 3*j) + j**2 - 3*j**2 + 0*j**2 - 790*j**2 + 342*j**2 - 911*j**2 in the form p*j + q + s*j**2 and give s.\nAnswer: -1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from {x: 5, t: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + 554?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -48*n - 364. Give s(-21).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 u when three letters picked without replacement from iuri?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -150?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 905*y**3 + 906*y**3 - 9 - 4.\nAnswer: y**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -12. Let b = 50 + x. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 254.129 + -254. Let k = -0.1406 + b. What is k rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (sqrt(1100) + -1) - sqrt(11) - -1*sqrt(275).\nAnswer: -5*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 233 - 228. Put -2, o, 4 in descending order.\nAnswer: o, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + 131*x**2 - 439*x - 201. Determine d(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.084 + -0.316. Which is the second smallest value? (a) -0.6 (b) -12 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hdddjdhhjhhdhh. What is prob of picking 2 h, 1 j, and 1 d?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 3*v**2 + 4*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -1.59 (b) -2\/3 (c) -1\/11 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -13 - (58 - ((-16 + 53 - 23) + -13))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(110)\/sqrt(11)) - ((sqrt(77) + -2*sqrt(77) + sqrt(77) - sqrt(77))\/sqrt(11))**2)*-3 + 1.\nAnswer: -3*sqrt(7) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*y + 40*y - 80*y)*((0 - 1 + 0)*(-2 + 4 + 0) - 5 + 4 + 0 + (-2 + 0 + 4)*(1 - 1 + 1) - 3 + 1 + 1)*(-5 + 3 - 3)*(0*y - y + 4*y)*(5 - 4 - 2).\nAnswer: 510*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 - 11100?\nAnswer: -110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 9 = -61 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v - 21. Let j be (3 - v\/6)*-12. Let g be 12 + (-2 + j)*1. Calculate the highest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -608, 2, 90 in descending order.\nAnswer: 90, 2, 1, -608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -533.5901*-64.\nAnswer: 34149.7664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*w + 37 = -0*w, 4*a = -w + 73. Let r = a - 9. Calculate the remainder when 22 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = -362*p + 361*p. What are the prime factors of p?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) + 45\/20. Solve d*y + 20 = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17358 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 14*d. Let r(w) = 9*w. Let y(p) = 8*r(p) - 5*t(p). Let j(x) be the second derivative of 2*x**3\/3 - 2*x. What is j(y(a))?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k - 19. Let b be (-3075)\/(-525) + 1\/7. Determine f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*o - 25. Let z(g) = 86*g**2 + g + 12. Is z(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -114 - 32. Let n = l + 107. What is the remainder when n is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2\/((-80)\/(-75)))*(13 - 11)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-84))\/(2*(-2)\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 67*g + 1. What is the units digit of a(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) + -2*sqrt(156) + sqrt(156) - sqrt(156) - sqrt(156)))\/(-1*sqrt(75)).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75609 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3557\/327244*-3*1\/(-18)*16.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*g - 14*g + 44*g)*(323*g + 212*g - 288*g).\nAnswer: 17043*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -19 + 31 + 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1262 (base 10) to base 6.\nAnswer: 5502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 - z + 1. Let n be d(1). Suppose -q + 7 + 147 = 4*r, 6*q + r - 901 = 0. Suppose 2*g = i + q, 5*g - 386 = -0*g - n*i. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52.3 - -52. Which is the nearest to -10\/3? (a) -5 (b) 1\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 - 4*q. Suppose -190 + 320 = 13*s. Let x = 38 - -32. Let i be (-12)\/s*x\/21. Let o(n) = -4*n**2 - 3*n. Calculate i*o(r) + 3*u(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 6*a - 7. Determine t(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2790 divided by -6.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 1088*s - 1098*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {r: 2, v: 4, u: 2, k: 2, e: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1760 - -1799. Solve -q*n + 25 = -34*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clllmlcclcccbgc. Give prob of picking 2 l, 1 b, and 1 m.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:50 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) 2\/11 (c) 2\/9 (d) -0.4 (e) -16740\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/(w\/(w*w\/(w\/(w*w*w\/(w\/w**(1\/52)))*w)*w))))*w**(-26))**(-3\/10))**(-36\/5) assuming w is positive.\nAnswer: w**(-6453\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -250*a*i*x**2 - 92*a*x**2 - 2*x**2 wrt i.\nAnswer: -250*a*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - p**2 + p**2 + (2 - 2 + p**2)*(3*p**3 - 4*p**3 + 2*p**3) + 69 - 182 + 117 + 5*p**5 + p**5 - 3*p**5 + 4*p**5.\nAnswer: 9*p**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/13 in 5, -0.6, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l = -44*l + 18. Is (5\/(-10))\/((l\/(-3))\/51798) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3 + 35065035*i**2 + 385714830*i + 350649800 = 0. What is i?\nAnswer: -7012996, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 13*w**2 + 10 + 15*w**2)*(4*w - 4*w + 4*w) as s*w + b*w**2 + q*w**3 + y and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1370 - -2239. Suppose 4*d - 1839 - p = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*o - 143 = -7*v + 161*o, 26 = v - 2*o for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, k: 2, c: 1, p: 1, s: 3}. Give prob of picking 1 k, 1 s, and 1 p.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77.8 - -77.72. Let l = -88 + 90. Which is smaller: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. Suppose -2*a = -3*w - 50, 73 = a + c*a - 4*w. Suppose 0 = h - 18 - a. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n + 993 - 1015 + 9*n. Determine z(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -10*o + 2. Let s be q(-8). Let t be s\/(-4) + 1\/2. Let z = t + 58. What is the greatest common factor of 57 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 1. Let l(s) = 4*s**3 + 19. What is -5*d(b) - l(b)?\nAnswer: b**3 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*g + 4594, -g + 3*n + 4589 = g. Is 2302 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 482.25 + 51.54. Let l = -530 + q. Let x = l + 0.21. Which is the nearest to -7? (a) -5 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112002 (base 4) in base 3?\nAnswer: 21112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -907, -929, -955, -985?\n\"Answer: -2*c**2 - 16*c - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 5*h = -2*c - 16, 580 - 290 = -h + 288 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29, 9, 49, 91, 135?\n\"Answer: j**2 + 35*j - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/10)\/(147\/6790). Let h = m + 12624\/91. Solve -h*n**3 + 4\/13*n**2 + 0 - 2\/13*n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)*(b*b**10)\/b)**(7\/8) assuming b is positive.\nAnswer: b**(98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l - 5*l + 4*l)*(0 + 2 - 1 + (1 - 3 + 1)*(2 + 2 - 3) + 3 - 1 - 3 - 4 + 0 + 2)*(-2 + 2 - 3) to the form x*l + k and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 9:43 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 27, 30, 1, -0.1, -19.05 in decreasing order.\nAnswer: 30, 27, 1, -0.1, -1\/7, -19.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, k: 1, c: 3, m: 1}. Give prob of picking 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 13. Let c(x) = -x + x + 4 + 2 - x. Let s(n) = 13*c(n) - 6*v(n). Let r(a) be the second derivative of a**4\/6 - a. Calculate r(s(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12275086535 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 - -125. Calculate the remainder when 63 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 0.4 (b) -18 (c) -10\/13 (d) -2\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2308782 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-2 - 6) + -1 - (42 - 44))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (-2 - -3) + -10 - -8?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a**2 - 10 + a**3 - 2*a + 5*a + 6*a. Let k be q(8). Let w(t) = -3*t**2 - 2 + 2*t**2 - t**2 - 4*t - t**3. Calculate w(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774790 is divided by 422.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 - -97. Let o = h + 52. Suppose -52*n + 15*n**2 - 15 - o*n - 13*n + 38*n = 0. What is n?\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/8)*k*k**(-2\/17)*k)**(2\/25) assuming k is positive.\nAnswer: k**(341\/1700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((0 + 0)\/3)\/((-6)\/2). Suppose 3*s + k*s - 54 = 0. Let r be (98\/(-10) - 1)*-15. What is the highest common factor of s and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*k - 2060 + 7139 + 17097 = 169*k for k.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**2\/2 + 73*a + 30. Differentiate z(h) with respect to h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + -3 + -1 + sqrt(1584) - (5 + sqrt(1584) + sqrt(1584) + sqrt(1584) + -1 + sqrt(1584)))**2.\nAnswer: 384*sqrt(11) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 0.3, 8, 0.01, 0 in decreasing order.\nAnswer: 8, 0.3, 0.01, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 3029?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78780442 is divided by 26260113.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 76117, 152242, 228363, 304480, 380593, 456702?\n\"Answer: -2*j**2 + 76131*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 - -1.5. Let k = x - 17. Let t = 30 + k. Is -0.1 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 11}. What is prob of picking 1 s and 1 t?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 84\/22 + (-8)\/(-44). Solve 0*d + 12 = t*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 43*f**2 + 192*f - 114. What is the remainder when 959 is divided by k(47)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 5. Let t be h(-8). Solve q = -t*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 46*h + 276. Let a be q(7). Let j(d) = -d - 13. What is j(a)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 1214 = -345. Suppose i*a - 25 = 74*a. Let u(c) = 2*c + 4. Let n(w) = 1 - 5 - 3*w - 2. Determine a*n(g) + 8*u(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 69.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 35. Suppose -w*v - 48 = -6*v. Let d be -32*(-1 - 3 - -2). Calculate the highest common factor of v and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62530 + 6?\nAnswer: 62536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.23522611 to one decimal place.\nAnswer: 100.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2256)\/1316)\/((-4)\/714 + 0).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -5*c**4\/4 - c**3\/3 + 2*c**2 + 7*c + 27. What is the units digit of z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 113563 and 58102.\nAnswer: 2498386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 + -72. Calculate the smallest common multiple of 14 and b.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 107 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -16*j + 4. Let q = 686788 + -686634. Calculate the remainder when q is divided by p(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(128)*-2) - (-1 + sqrt(192) + -3*1*sqrt(3)).\nAnswer: -81*sqrt(3)\/16 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 898 - -114?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 4:20 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 3, 0, 18 in increasing order.\nAnswer: -1\/7, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 20750?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i - 2*i - 1 + 1 + 2*i + (1 - i - 1)*(-2 + 1 + 3) + i + 3 - 3)*(-12 + 12 - i**2).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 22 = 3*j - b, -3*j = 3*b - 18. What is the units digit of 5 + (-2 - -4 - j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1) + 9 + -6. Suppose 3 + 9 = n*o. Solve -o = -x - x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 17242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 25*z**2 - 1124*z - 48. Let m be l(45). Put -5, -136, -4, m in decreasing order.\nAnswer: m, -4, -5, -136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**4\/8 - j**2. Let t be (8 + -15)\/(1 + -2). Let h(k) = -4*k - 2*k + t*k. Calculate h(g(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.8 - -119.8. Let c = -100.001 + a. What is the second biggest value in -2, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4983320 is divided by 1577.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -17 (b) -196438 (c) 2\/7 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.092 rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5 - 4137697*l**3 - l**2 - 1920*l + 651?\nAnswer: -120*l**2 - 24826182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17\/29, -16, 0.05, -2, 1\/12, -0.3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 6. Let r = p + 10. What is the closest to 1 in r, -4, -1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 14. Let b(p) = 120*p**2 - 1. Determine c(b(d)).\nAnswer: -120*d**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**3 - 13*d - 9. Let n(c) be the first derivative of c**4\/2 - 7*c**2\/2 - 5*c - 1. What is 6*a(z) - 11*n(z)?\nAnswer: 2*z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46079 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from srscwuc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49066610 and 40.\nAnswer: 196266440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 20*v. Let k(n) = 117*n**2. What is k(c(u))?\nAnswer: 46800*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**5\/15 + w**4\/4 + 2*w**2. Let c = 7 + -1. Let n(p) = -2 - 11*p**2 - 17*p + 5 - 3. Calculate c*n(r) + 17*o(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1205 and 1435?\nAnswer: 345835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2374 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + 2*u**2 + 4*u. Let p be q(3). Let f = -21 - p. Suppose 4*h = -5*w + 56, 0 = h - f + 4. Calculate the smallest common multiple of 14 and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2719 = 70*s + 151 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 f when four letters picked without replacement from {k: 2, g: 2, l: 1, f: 2, q: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 63\/((-2*(-6)\/(-12))\/(-1)). Calculate the greatest common factor of 231 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(5\/8)\/(a*a**(2\/17)*(a*a\/((a\/(a\/a**(1\/3)))\/a*a))\/a*a*a) assuming a is positive.\nAnswer: a**(-1799\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 60 = -2*v. Does 2 divide 2\/(-1) + v\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2345020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(10\/32)\/(1665\/222).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-774)\/172*208\/36.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-16)*y)\/y)\/(y*y**(-11)))\/((y\/y**(2\/43))\/(y*y**(-1\/6)\/y)) assuming y is positive.\nAnswer: y**(-1837\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*(h*h\/(h*h*h**(-2)*h*h*h))\/h)*h**(-4\/5)*h)**50*((h\/(h**3\/h)*h)\/h)\/(h\/((h\/h**(1\/2))\/h)*h)*(h**(2\/3)*h)**(8\/17) assuming h is positive.\nAnswer: h**(10943\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3113, 4, 1, -1 in decreasing order.\nAnswer: 4, 1, -1, -3113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -756 - -1083. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193 - 378 - 8*o + 185.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76199810 and 415.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 2 + 2 + -6 + 2. What is the remainder when 5 is divided by -6*(-5 - g)*6\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 smaller than 248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q + 5*p + 23, -2*p - 10 = 0. Let v be (q + -9)*-1 - -2. Calculate the highest common factor of v and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2*c + 28, -5*g + 2*c + 2 = -33. Suppose 4*x + 20 = 4*b + 5*x, -3*b = -2*x - 4. What is the lowest common multiple of b and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/19, -2, 1\/4 in decreasing order.\nAnswer: 1\/4, -2\/19, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.998 - 10.3. Let y = g + -0.7. Let k = y + 1. Round k to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15214757 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12808922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -15*(-5016)\/(-5390))*2.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4194360.3 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - ((-203390)\/75 + (-4)\/30). Round i to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l - 20. Let o(g) = 2*g**2 - 5*g - 8. Let a be o(4). Let c be v(a). Solve 0 = k - c*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10093 or -10097?\nAnswer: -10093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2420 + -1224001?\nAnswer: -1221141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 2, 1\/5, -0.308 in decreasing order.\nAnswer: 13, 2, 1\/5, -0.308, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, q: 8, t: 7, f: 2}. What is prob of picking 1 t and 1 a?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, 0.04637245, 0.3 in increasing order.\nAnswer: -5, 0.04637245, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/948725 and 73\/5206?\nAnswer: 36051550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44332*u + 53770.\nAnswer: -44332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1161\/116717?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 7*s - 5. Let z(d) be the first derivative of d**3\/3 - 3*d**2 - 4*d - 7. What is 4*j(p) - 5*z(p)?\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 5, 3, 93 in ascending order.\nAnswer: 3, 5, 17, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p. Let h = -41 - -49. Let x(q) be the second derivative of 2\/3*q**3 - q + 0 + 0*q**2. Calculate h*x(r) - 5*b(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4540, 9077, 13614, 18151, 22688?\nAnswer: 27225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*k - i + 5, 5*i = 2*k + 29. Let l = 9 + -7. Suppose l*c = c + 1. Put c, k, -5 in descending order.\nAnswer: c, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -16\/7 (c) -10 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 7. Let s be -46*((-6)\/4)\/r. Suppose -o + s = -4*n, 4*n - n = -3*o - 6. What is the least common multiple of o and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4\/7 - 30022*n**3 + 5520693036*n**2\/7 - 5520062584*n\/7 - 11040965776\/7 = 0.\nAnswer: -1, 2, 52538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjb when three letters picked without replacement from bbbbbfbyjfbbfb.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p + 25*p**3 - 15*p**3 + p - 8*p**3 + 2*p**2 as r*p**3 + y*p + d + n*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -157\/8 (b) -0.4 (c) -57 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**7\/210 - t**5\/30 + t**3\/6 - 467*t**2. Suppose z(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 2:36 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 29*a**2 - 4*a**2 + 37*a**2 + 2*a + (0*a + a + a)*(-4*a + 2*a + 3*a) in the form p + h*a + k*a**2 and give k.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 20 + -49 + -7?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.94305 decades in years?\nAnswer: 539.4305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - -0.93. Let n = -7 + 14. Let k = 3 - n. What is the closest to o in k, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/9*(-2 + 2). Differentiate 1 - 1 + 1 + w**3 + m with respect to w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.355 - -0.145. What is the smallest value in 0.08, q, -1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/25579? (a) 6\/5 (b) -5 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2577659.4 months in years?\nAnswer: 214804.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 8000406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -6) + -14 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.55 * 23571.51.\nAnswer: 12964.3305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n - 1. Let a(g) = -6*g + 5. Let l(s) = -4*a(s) - 11*k(s). What is the remainder when 42 is divided by l(17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -17, -38, -67, -104, -149, -202?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 1258?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 7) to base 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 529806822 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150259413431 - 150259413431 + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -13 - 8 - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8459 equal to -8460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**2 + 27\/5*r + 9\/5*r**3 + 2 + 1\/5*r**4 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 23 - ((5 + -3 - 4) + -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162 + -806\/5. Let t be 7*(1 - 0) - 2. What is the second smallest value in -2\/19, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85660 and 240?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o - 7. Let q(n) = -13*n - 15. Let d(t) = -7*a(t) + 3*q(t). Let h be d(-3). Put 6, 0, h in descending order.\nAnswer: 6, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 1228282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 3*v, 4*y - 4*v - 783 = -743 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*s = 8, -2*s - 28 = 5*l - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 721952*y**2 - 2*y + 63834070.\nAnswer: 1443904*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 658 = -670. Suppose -2*c - 3 = -t, c - 1 = 4*c + 2*t. Is i less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60273557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 36 + 38 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -138518 divided by -138518\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 5*f**2 - 8*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -392*d - 1. Let g(w) = -369*w - 2. What is 6*g(i) - 5*m(i)?\nAnswer: -254*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -1313?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -31 in descending order.\nAnswer: 5, 4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*p = 0, -4*n + p + 2*p = 0. Let l = n - -1. What is the second biggest value in 0.5, l, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 16*c + 75 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 22*y**2 - 23*y - 41. Let f be p(-21). Let w be (f*14\/(-21))\/3. Which is the smallest value? (a) 4\/5 (b) -24 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297, 40, -189, -396, -587?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 + q. Let t be o(-1). Let c be (12 - 4)\/((-2)\/(-3)). Suppose 6*v - 10*v = -c. Solve -v*m = 2*f - 19, -f + t*m - 2*m = 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**3 - 4*o**3 - 90 + 10*o**3 + 17*o + 87 - 3*o**3 in the form t + v*o**2 + q*o + r*o**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 324861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 11:01 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 16) in base 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 5*g**3\/6 - 3*g**2\/2 - 2*g. Suppose -z + x = -8, 5*z - x + 12 = 28. Calculate j(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c + 6. Calculate d(10).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 102 * 36\nAnswer: 3672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 105, 2 in ascending order.\nAnswer: 1, 2, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -197 + -3?\nAnswer: -19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 329.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16323828 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187 - 24*o + 22*o + 4*o to the form x + j*o and give x.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9765 - 9765 - 4*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-38)\/v)**(1\/56)\/(v**(-9\/4))**39 assuming v is positive.\nAnswer: v**(1219\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -294 - -322. Put 3, x, -2, -4 in ascending order.\nAnswer: -4, -2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 13 = 3*k, -2*m = -2*k + 5*k - 11. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735131.\nAnswer: 17, 83, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(243) + sqrt(243)*-2) - (1 + sqrt(3) + -1 + 0).\nAnswer: 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.86 rounded to zero decimal places?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 182995428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a + 1 - 1 + (11 - 16 + 14)*(27*a - 177*a - 90*a).\nAnswer: -2158*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4277428266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w - 3*w - 4*w - 2*w + 6*w - 3*w + 5*w - 2*w - 2*w + (2 - 2 - 1)*(-w - 3*w + 3*w) + 3*w - 5*w + 7*w to the form x + r*w and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.26 + -0.36. Sort -3, l, 2, 2\/11 in descending order.\nAnswer: 2, 2\/11, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 27. Let l = x - 47. Let n be (3 - 4) + (-22)\/l. What is the closest to 0.06 in n, 5, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3 - 12135*a**2 - 18176*a wrt a?\nAnswer: 12*a - 24270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -4, 11, 34?\n\"Answer: 4*i**2 - 5*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-7\/5))**(-4\/29)\/(u\/u**(1\/3)*u)**(-25) assuming u is positive.\nAnswer: u**(17981\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1764162 tonnes to milligrams.\nAnswer: 176416200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 9) in base 8?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1376271 and -41\/5967.\nAnswer: 23396607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 0, 8, 16, 24?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14615 - -2004. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110200 - 122211?\nAnswer: 210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 3*g + 1. Let c(x) = x**3 - x**2 + 63*x - 3. Determine c(v) + 3*n(v).\nAnswer: -2*v**3 - v**2 + 54*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144260 is divided by 751.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1*4599.1.\nAnswer: 18856.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, y: 2, g: 1, t: 4, o: 1, h: 4}. Give prob of picking 3 t and 1 g.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/3 + 59*g**3\/3 - 61*g**2 - 36859*g\/3 + 36982\/3 = 0 for g.\nAnswer: -41, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3174238?\nAnswer: 2, 127, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (78129\/(-1116) - -70)\/(5\/((-120)\/(-9)))\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1847*v**2 - 30. Let p(x) = 1920878*x**2 + 31195. What is 6*p(a) + 6239*s(a)?\nAnswer: 1835*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54267517*l**6 + 6*l**2 - 1996691 wrt l.\nAnswer: -6512102040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53315 is divided by 266.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 8 + a - 4*a + 0*a - 2*a + 7 as c + q*a**2 + m*a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 789 and 9032998?\nAnswer: 27098994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 n when three letters picked without replacement from {o: 1, z: 1, n: 3, h: 4, b: 4}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 44*v - 2. Let d(c) = -c. Let g be ((-4)\/7)\/(24\/(-168)). Let q(t) = g*d(t) + m(t). What are the prime factors of q(7)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:15 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.3 and 0.18?\nAnswer: -1.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*-4*(-2)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + q + 5 = 0, 5*x - 1 = -q - 15. Put 4, 5, 53, x in decreasing order.\nAnswer: 53, 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -396 + 396 - 28*c**3 + 233*c**2 + 22*c**3 to the form x*c + p*c**2 + u*c**3 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15451 * -1.3\nAnswer: -20086.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 59, 1 in descending order.\nAnswer: 59, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 7 - 2)*(-12*g**5 + 38*g**5 - 13*g**5).\nAnswer: -156*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqqomqqqrqqoqoooq. Give prob of sequence qqom.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 2*g**2 + 7*g**2)*(-g**2 - 4*g**2 + 3*g**2) - 3*g**4 - 8*g + 8*g - 19*g**4 - 3 + 1 + 11*g**4 - 2*g**3.\nAnswer: -23*g**4 - 2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 1. Let a be ((-1)\/(-3))\/(1\/(-6)). Let v(p) = -7*p**2 + 10*p. Let o(y) = a*n(y) - v(y). Is o(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6\/5, 10, -0.145, 36?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**2*s**3 + 38*a**2*s**2*z - 3*a*s**3*z + a*s**2*z + 16*a*s**2 wrt a?\nAnswer: -6*s**3 + 76*s**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l - 86. Let a be t(51). Differentiate -151*h - a + 122 + 77 + 72 wrt h.\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 393 + -395. Let n be (-20)\/(-8)*12\/18. Let u be (0 + -1)*0 - -1. What is the third smallest value in r, n, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4769 and 11324.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:41 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 0.2207438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/2 - 3\/2. Suppose 10 = p + f + 2, -3*p + 4*f + 17 = 0. Suppose 3*v = -2*d + p*v + 54, d - 5*v = 27. Calculate the highest common divisor of a and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5 = -33. Let d = 11 - n. Suppose -5*u = -d*y + 155, 3*y + 5*u - 205 = -2*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 817 + -824. Let a(u) = -13*u**2 + 12*u + 2. Let k(h) = 16*h**2 - 14*h - 2. Let m(i) = w*a(i) - 6*k(i). What is m(2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17119, 34232, 51345, 68458?\nAnswer: 85571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 11*z - z**2 + 14*z - 25*z. Let m(h) = 26*h. What is b(m(w))?\nAnswer: -676*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27987209.\nAnswer: 19, 1473011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 32. Let l be (-12)\/(-78) + c\/(-26). Suppose -l*r + 236 = -337. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -256, 2, 1 in ascending order.\nAnswer: -256, -5, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1359792 and 304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*d + 21 + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-21))\/((-20)\/(-35))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10470 - 10470 + k - k - k**2 + k to the form z + t*k + u*k**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110075 and 6307.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 185 + -45. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*b - 862 = -5*b, 5*d + 2*b - 858 = 0. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -6*o - 9. Let g = 16 - o. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1206 - -1212. Suppose -10*g + g = 54. What is the second smallest value in g, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 16*g**2 - 12*g - 4. What is w(-2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178*b**6 + 3*b**3*p**3 + 2*b**2 + 330*p**3 wrt b?\nAnswer: 21360*b**3 + 18*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 + 0)*(-30)\/4*(-35)\/350?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -750 not equal to -747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 6*w - 2. Suppose -3*y + 3*d - 4 = -34, 3*d = 4*y - 42. Calculate the smallest common multiple of q(10) and y.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -11*c**2 - 7 - c + 10*c + 16. Let m(b) = -5*b**2 + 4*b + 12. Let j(y) = -2. Let d(i) = -4*j(i) - m(i). What is -9*d(f) - 4*l(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 - 2 = -14*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x = -280. Suppose 0 = 5*k - 2*n - x, k = 3*n - 5*n + 44. Suppose 2*i + 4*b - k = -14, 0 = 5*i - 3*b - 87. Is i greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.4 - 4. Let l = 3 + -3.4. Let r = -5 - -5. Which is the third biggest value? (a) l (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c1 + 47c18?\nAnswer: 47947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v + 17 - v**3 + 12 + 20*v**2 - 18. Is d(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227949608 a multiple of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 11*z + 3. Let j be (-2)\/(-4) + (-209)\/22. Let k be b(j). Let h = -5 - k. What are the prime factors of h?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 1.1 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 17501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 = 0, 2*v = 8*b - 5*b - 10. Let z be (-210)\/(-110) - b\/(-44). Solve z*r - 52 + 44 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7632.896 weeks to seconds.\nAnswer: 4616375500.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*t - 435025 = 0, 2*b - 5*t + 101471 - 275496 = 0. Round b to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r**2 - 861*r - 183039. Let v(q) = -7*q**2 - 862*q - 183010. Let g(p) = -6*n(p) + 5*v(p). Find i, given that g(i) = 0.\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7875*o + 20370. Let h(m) = -1588*m - 4074. Let q(t) = -2*g(t) - 11*h(t). Differentiate q(d) wrt d.\nAnswer: 1718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1933*w - 73852 = -638*w + 118973 for w.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10 - 1 + 2 + 8*m - 2*m**2. Let t(d) = -d**2 + 4*d - 4. Let h(j) = -5*t(j) + 2*y(j). Is h(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 21*v - 63. Let i be o(8). Suppose 110*h - i*h = 530. What are the prime factors of h?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 9*h + 8. Let j be a(-8). Let p = 8 + -6. Let i(v) = 2 - v + 2*v - p*v. Give i(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-33)*n**(3\/22))\/((n**(-33)*n)\/(n\/n**(-23)*n)))**37 assuming n is positive.\nAnswer: n**(19647\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7617*r**3 - 22927*r**2?\nAnswer: 45702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10*5\/4. Let j be 2 - (-1 + 0) - 2\/(-1). Let f = -4.3 - -4. Which is the second smallest value? (a) j (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5395 = 69*d - 6016 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -165 + -18afa?\nAnswer: -18c5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n**8*n**(-5)*n**(-8))**(-39) assuming n is positive.\nAnswer: n**351","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7}. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6e3 (base 16) to base 12\nAnswer: -102b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (2 + ((2*sqrt(1584))**2 + -5)*-5)*-5).\nAnswer: -949560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (1 + -1*sqrt(1377))**2).\nAnswer: -2764 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at most -337.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2845788177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 1\/10*a**5 + 0*a + 1\/120*a**6 - a**3 + 0 + 0*a**4 - a**2. Determine n(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1.2, -2\/11, -298?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1443869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 221474 = -476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3251\/58 - -132\/29. Let x = k + 54. What is the nearest to 0.1 in x, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 62*b**2 - 15 - 61*b**2 + 15. Calculate r(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 33 - (-52 + 14 - (-5 - 11))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1564, -6261, -14082, -25021, -39072, -56229, -76486?\nAnswer: -99837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(2\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3520 - (10\/(-45) - 6\/(-27)). Suppose -r - j = -3*r. Suppose 2*b - 4*g = r, -5*b - 5*g + 5123 = 738. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2103591828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k + 203. Calculate the remainder when 429 is divided by a(-13).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n + 1310 + 2*n - 1310. Let c(d) = -d**2 + 5*d**2 - 3*d**2. Give c(k(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**5*z + 36*k**4*z**2 + k*z**2 + 133*z**2 wrt k?\nAnswer: -40*k**3*z + 432*k**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -14 + 4 - -2 - (-213 - -184)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 65 - -13766?\nAnswer: 137cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7515966 to three dps.\nAnswer: -1.752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34526 or 32073?\nAnswer: 32073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 39 - 8*f + 8\/3*f**3 - 2*f**2 + f**4. Factor b(r).\nAnswer: 4*(r - 1)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -4, -56, 0, 1, 12 in ascending order.\nAnswer: -56, -4, 0, 1, 12, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 225419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w. Let s(x) = -3*x - 6. Let d(i) = -i + 1. Let v = 16 + -15. Let a(y) = v*s(y) + 6*d(y). What is j(a(l))?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z - 18. Let u be p(6). Let n(a) = a**3 - 8*a**2 + 9*a + 23. Let l be n(u). Is 0 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/16 (b) 4 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 + 25*l**2 - 24*l**2 + 25 - 20 - l to c*l**2 + j + x*l + u*l**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -40 + 45 + 105\/30*1*-2. What is the third smallest value in 1.4, -3, h?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 1. Let d be w(-2). Let a(g) = 9*g - 16*g + 6*g. Determine a(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuqupqqqypquqp. Give prob of sequence yux.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40\/5 - (-35616)\/12?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*f, -2*m - 5*f + 340 = -0*m. Let n be (-620)\/(-25)*m\/6. Let j = -467 + n. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 6891038.\nAnswer: 3445519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y + 5. Let h be (1 - -2)*4\/(-6). Let t(b) = 3*b - 2. Let n(s) = h*j(s) - 5*t(s). Let f(g) = -3*g**2. Give n(f(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9.1+-157669030086\nAnswer: -157669030095.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*b**2 - 66*b**2 - 4*b**2 + (-2*b + 2 + b - 1)*(-4*b + 13*b - 4*b).\nAnswer: -53*b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k. Let h be d(0). Suppose -g + 2*r = -47, 5*g = -h*r - r + 180. Suppose -4*i - a + 10 + g = 0, 72 = 4*i - 4*a. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13151, 25967, 38783, 51599?\nAnswer: 64415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 6. Let a(r) = 5*r**2. Suppose 3*z = -o + 8 - 3, 4*z + 3*o = 10. Let p be a(z). What is the units digit of m(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -39219812 and -3.\nAnswer: -39219815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 42 = 2*d, 0 = -4*s + 7*s + 15. Suppose 4*j = -2*q + 316 - 98, -3*q + 292 = -j. Calculate the greatest common divisor of q and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 5*j**2 - 4*j - 6. Calculate the least common multiple of o(6) and -1 + (6 - 3) - -9.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -33*w + 17. Let v be b(-10). Find the third derivative of v*o - 10*o**2 - 347*o - 8*o**4 wrt o.\nAnswer: -192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.79 + -6.817. Let k = -611.527 - -612. Let q = k - t. Which is the smallest value? (a) 0.3 (b) -0.4 (c) q (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*c - 8, -2 = -4*y - 3*c - 3. Suppose -4*h + 14 = 2*i, -i + 17 = 7*h - 5*i. Put 1, 4, y, h in ascending order.\nAnswer: 1, y, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 306473370 to the nearest integer?\nAnswer: 17506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 19*y - 14*y - 22*y + 2.\nAnswer: -58*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(128) + (sqrt(128) - (0 + sqrt(128))) - sqrt(128)) + sqrt(128)))**2 - sqrt(4)\/(sqrt(72) + -1*sqrt(72) - sqrt(2)).\nAnswer: sqrt(2) + 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-5 - -3)\/(2\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396898.2 tonnes in milligrams?\nAnswer: 396898200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784.902us in milliseconds?\nAnswer: 1.784902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 25 = -5*y + 3*y, -4*y + 5*b + 85 = 0. Suppose k = o, -4*k = 4*o - y - 1. Suppose -k*a + 3*s = -a + 6, -s - 20 = -4*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 838*s + 241260 - 229528 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9030, -18064, -27100, -36138, -45178, -54220, -63264?\nAnswer: -72310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157947 divided by -5.\nAnswer: -157947\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 2. Give k(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -13. Calculate the least common multiple of 22 and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*v**4 + 11200*v + 68*v**4 - 11197*v wrt v.\nAnswer: 1512*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 2)*(-211*u**2 + 288*u**2 + 1837*u**2) + 2*u - 4*u - 2*u**2 + u - 3.\nAnswer: -7658*u**2 - u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2 + 2*c**2 + 11*c + 3*c**2 - 10*c**2 wrt c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*w - 33*w + 26*w)*(-2 + 0 - 2) + w - 3*w + 3*w in the form r + l*w and give l.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x + 2. Suppose p = -x*p - 15, -2*p - 6 = 2*b. Suppose -m - 3*m + 1564 = b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*m + 30*m - 6*m.\nAnswer: 74*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 2. Let z(a) = 2*a + 3. Let i(w) = 7*n(w) - 3*z(w). Let u be i(-5). Suppose 3*b - 404 - 70 = u. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 34?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 909.919 + -846.\nAnswer: 63.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 22. Suppose 3*q = -3*o + 111, 2*o = -q - 0*o + 33. Let p(y) = -y + 54. Calculate the least common multiple of p(q) and i.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74.51 - -1.49. Let t = 112 - d. Let x = t - 36.000064. Round x to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1700602 (base 8) to base 6.\nAnswer: -14313202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1049, -6410, -15375, -27950, -44141, -63954, -87395, -114470?\nAnswer: -145185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 10:34 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1085?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 12. Let z be m(-6). Suppose -3*y + 3 = 0, 3*d + 0*d - 4*y + 4 = z. Suppose -2*k + 9 + 9 = d. Solve -k = 4*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178795\/(-45)*(-6)\/1 - 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.03, 6\/41, 0.2, -1\/2, 9904?\nAnswer: 9904","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4202311 (base 5) to base 13\nAnswer: 2559c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4080\/781830*5*(-56)\/(-160).\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*-5 - 6*-3*sqrt(77))\/(sqrt(396) - (sqrt(396) + sqrt(396) + 1*sqrt(396))*-4 - 1*sqrt(396)*-1).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/31058 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20536*y**2 + 236 - 20517*y**2 - 236.\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.83 - 23.73. Round a to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.07475\nAnswer: -0.37375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*d**2*y**2 - d**2*y - d**2 + 111*d*y - 16*d + 3*y + 15 wrt y.\nAnswer: 28*d**2*y - d**2 + 111*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:25 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 3*r**2 - 2*r - 1. Let x be v(-3). Suppose 4*a - 4*n = 3*a, -5*a - x*n = 0. Let w be (-1)\/(6 - 65\/10). Solve a*j - j = w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 4*f - 2. Let z(q) = -q**3 + 4*q**2 + 5*q + 5. Let h be z(5). Let n be s(h). Suppose -27 = -n*i - 3*a, 52 = 2*i + i - 2*a. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78\/5329 + -225703\/4604256. Calculate the common denominator of h and 71\/864.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(2\/(-48)) + 0. Suppose 0 = -6*j - 78 - n. Let w = j - -14. Sort 9, w, 1, 0 in descending order.\nAnswer: 9, 1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 760379 in descending order.\nAnswer: 760379, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:06 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 10:37 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*b - 34*b + 9*b + 528 = 0. Suppose 1\/2*j**2 - 1\/4*j**b + 0*j**3 - 1\/4 + 0*j = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 8349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 4*a**3\/3 + a**2 + a - 6. Let m be h(-1). Determine v so that 3*v**2 - 17*v + 11*v - v**2 + m + v**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006670504 rounded to six dps?\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 25*s + 569 + 40 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269471 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -412 - -415.54. Let a = w - 3.6295. Round a to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.99793 + 0.99689334. Round c to 5 dps.\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0285? (a) -1\/2 (b) 7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 296 divided by -382311\nAnswer: -296\/382311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, w: 4}. What is prob of sequence www?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 4, 3747, -3\/2?\nAnswer: 3747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - 0.4. Let b = w + -0.300031. What is b rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 - 83. What is the biggest value in b, 6, 2, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001787 rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 56 = 8*l - 95. Factor -6\/5*h + 6\/5*h**l + 18\/5*h**2 - 18\/5.\nAnswer: 6*(h - 1)*(h + 1)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*v - 7 - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - -6950?\nAnswer: 6923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2. Let f(p) be the third derivative of 0 + 0*p - 18*p**2 + 17\/60*p**5 + 0*p**3 + 0*p**4. What is f(n(s))?\nAnswer: 68*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -284, -273, -258, -239, -216, -189?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-44)\/16)\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 + 26238905*a - 26238905*a.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 555798\/35 or 15880?\nAnswer: 555798\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkqqkqkqqq. Give prob of sequence kkkq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -577 - -351. Let s be 2 + (-2)\/2 - o. Suppose -4*p - 239 = -3*m, -s = -2*m + 2*p - 65. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 l, and 1 b when three letters picked without replacement from {p: 1, b: 1, l: 1, y: 1, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 3, 3\/4, 5, -93?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 2. Let r be g(-5). Let b(k) be the second derivative of -3*k - 2*k**4 - 1\/10*k**r - 3\/2*k**5 - 3\/5*k**2 + 0 - 3\/5*k**6 - 3\/2*k**3. Factor b(w).\nAnswer: -3*(w + 1)**4*(7*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + -6 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -39801*v**3 - 6*v**2 - 5*v + 1. Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0739, -0.3, 4\/5, -15?\nAnswer: 0.0739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27415 in 4\/3, -1.1, 0?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 3.8, 0, -1\/9, -1\/3, -1\/6, -2\/969?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 34 = 3*n - 8*n, -n - 11 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/12)\/d)\/(d*d*d\/(d\/(d\/(d*d\/d**8)))) assuming d is positive.\nAnswer: d**(-119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1333 = -853. Suppose -216 = -2*t - 4*l, -58*l + 53*l = t - d. What is the greatest common divisor of 40 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 7*s + 8. Let m be y(7). Suppose 5*g + m = g. Calculate the common denominator of g\/(-5) + 761\/(-90) and -25\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101422 (base 5) to base 16\nAnswer: -d22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*-13272.59\nAnswer: -66362.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10624, 20645, 30680, 40735, 50816, 60929, 71080, 81275?\nAnswer: 91520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -575.138 and 395.\nAnswer: -227179.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 0 + 11*w - 7\/2*w**2 + 1\/6*w**3. Suppose 6*c - 3*c - 21 = -5*f, -5*f + 36 = -2*c. What is a(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 7*o**2 + 5. Let l be d(7). Suppose -5*r - 4*t = 31 - 7, -t = r + l. Let s be (6\/r)\/((-21)\/56). Solve -1 = -f + s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1660656000 to the nearest 1000000.\nAnswer: 1661000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -38. What is the least common multiple of f and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ee7 + 5ef6?\nAnswer: 500f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a**3 + 4*a**2 - 2*a + 27. Let o(m) = -m**3 + 3*m**2 - 2*m. Determine -n(z) + 2*o(z).\nAnswer: -10*z**3 + 2*z**2 - 2*z - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 13*b - 9. Let k be 54\/(-45)*30\/4. Is g(k) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2555 + -4612200?\nAnswer: -4606312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117 - -122. Suppose 0 = -2*f + 4*q + 1380020, -d*f + 0*q + 3450025 = -5*q. What is f rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/30 + 5*j**4\/24 - 5*j**3\/6 + 1142*j**2 - j + 2. Let p(w) = -w**2 - 4*w + 4. Determine -6*p(d) - 5*z(d).\nAnswer: -4*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 - 30*k - 50. Give a(-8).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170933979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 89976.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*r + 3*q - 1621, -r = 3*q - 544. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 0*s + 5\/2*s**2 - 1\/2*s**3 + 0 = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 11*f**2 + 3*f - 42. Give l(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 - -105. Let c = h + -15. Suppose 3*p - 4 = -c, -3*m + 2*p = -32. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1375587 + -3673.\nAnswer: 1371914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 273*f**2 + f. Let h(p) = 2*p + 1806. Calculate h(i(r)).\nAnswer: 546*r**2 + 2*r + 1806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 96*b**3 + 33*b + 33. Let u(y) = 6*y**3 + 2*y + 2. Suppose -8*g + 21 = 5. Calculate g*p(f) - 33*u(f).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2217887455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -175555.5.\nAnswer: -175555.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 2 (c) 9\/4 (d) 3\/7 (e) 0.5 (f) -2\/7 (g) -3\/29498\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j + 4. Let a(x) = 7*x - 8. Let y(z) = 3*a(z) + 5*t(z). Suppose -7*w + 2 = -26. Calculate y(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a gram in milligrams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1.8. Let i = -0.037 + 2.037. Which is the third biggest value? (a) 4 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 193053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6473 - 6474. What is the biggest value in -0.14, -0.3, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 971 in -0.4, 1\/10, -0.5, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185213706 by -6.\nAnswer: 30868951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**(-1)\/v)))\/v*(v*(v**6*v)\/v)\/v)\/(((v**(-6\/5)\/v)\/v)\/v**(-2\/17)) assuming v is positive.\nAnswer: v**(517\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1. Let u(p) = p. Let c(i) = u(i) - 5*w(i). Let t be c(-5). Let x(d) be the first derivative of -d**3\/3 + d**2\/2 - d + 11. Determine x(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*((-1 + sqrt(17))*2)**2.\nAnswer: -24*sqrt(17) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 327732268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 1\/4 (b) 1 (c) -0.1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 282485*u. Let x be g(-3). Let l = -4924150 + x. Let v = 10271605 + l. What is v rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**6\/180 - v**5\/30 + 4*v**3\/9 - 26*v**2. Factor d(u).\nAnswer: -2*(u - 1)*(u + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211000130 (base 4) to base 2\nAnswer: 100101000000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 - (-6)\/4. Let h(f) be the second derivative of 0*f**a + 2*f + 1\/54*f**4 + 0 - 1\/27*f**3. Let h(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*r + 1854 - 849 = -2259 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13540 (base 7) to base 10\nAnswer: -3703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.8 - -5.196.\nAnswer: -1.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178110 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-20))\/((-122)\/(-40) - (-2)\/(-8)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o + 4. Suppose 0 = -4*t - 0*t - 24. Let u = t - o. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20099, 39077, 58055?\nAnswer: 77033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81748567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0528 + -0.1223. What is y rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 6) to base 8\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 839, 830, 821?\n\"Answer: -9*b + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321838234.\nAnswer: 2, 47, 3423811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1342279, -1342278, -1342277, -1342276?\n\"Answer: t - 1342280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*r - 24, -2*x - 4*r + 12 = -6*x. Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -869, -1812, -2755, -3698?\n\"Answer: -943*k + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -260 from -0.0854501.\nAnswer: 259.9145499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 404003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 35*f**2 - 84*f + 1992. What are the prime factors of w(32)?\nAnswer: 2, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**2 - 1937768*h - 1937764 = 0.\nAnswer: -484441, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/7, 0.09, 7\/3, 5\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -22761?\nAnswer: -1\/7587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4 + 256842*n**3 + 7329756996*n**2 + 69725535050616*n = 0.\nAnswer: -28538, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 33 = -47. Is -23 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41100 = -3*h + 2*c, 3*h = 3*c + 50259 - 9159. Is 13701 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7870 divided by 5.\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 3, 0.366?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18844 - b1?\nAnswer: 18763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 11 + 0*s - 5 - 2*s. Suppose n + 9 = -8*p + 10*p, 3*p = -n + 11. Let l(m) be the third derivative of m**4\/12 - 7*m**3\/6 - m**2. Give p*l(a) + 5*c(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 246588, 246644, 246794, 247086, 247568?\n\"Answer: 8*b**3 - b**2 + 3*b + 246578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201123, -201109, -201077, -201021, -200935, -200813, -200649?\nAnswer: -200437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3\/4 + 931*u**2\/4 - 626*u = 0. What is u?\nAnswer: -313, 0, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 197397\/37960 + -1\/7592. Determine j, given that o*j - 1\/5*j**2 - 169\/5 = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 15 - (3 - 2). Suppose 3*u - i + 10 = 0. Solve u*m + 12 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 210*m + 2556. Determine f(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 83422742 times -2?\nAnswer: -166845484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-10))*y**(9\/4))\/((y\/(y*y*(y*y\/(y*y**(4\/13))*y)\/y*y))\/y**(-2\/3)) assuming y is positive.\nAnswer: y**(-893\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (10 + -3 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1660, 3498, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 511583\/16 - 31974. Sort -3, 50, 2\/5, f in decreasing order.\nAnswer: 50, 2\/5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 10:02 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/3)\/(-1) - 129. Let b = -118 + 30. Let a = b - w. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 39270*w**3 - 392699*w**2 + 353420*w + 9 = 0.\nAnswer: -1\/39270, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 168358433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -166.21 to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21660 - 389983\/18. Find the common denominator of d and (-570)\/32*1\/(-6).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48d274 + 142?\nAnswer: 48d3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 c when four letters picked without replacement from {r: 3, c: 3, t: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 832144326 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36363052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1299 (b) 0.5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**3*v*x + 23*s**3*v + 37*s**3*x + 3*s**3 + s**2*v + 56*s**2*x - 2*s**2 - 206*s*v - 2 wrt s?\nAnswer: -18*v*x + 138*v + 222*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8083 + 8082.6. What is the third smallest value in -1\/3, -323, -2\/9, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r - 6*r + 12*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (37 - (115 + -48))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02849 and -0.053089?\nAnswer: 0.024599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28342 - 28348. Is t > -235\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -3.0457079117.\nAnswer: 3.2457079117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 20*c + 8. Let o be n(22). Suppose 0 = -3*k + 7*k - o. Calculate the remainder when 49 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*2\/(-4))\/(32\/384). What is the greatest common divisor of 120 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470951059 to the power of 1\/3, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-168)*-6)\/((-18)\/8)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 14) to base 12\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -55. Let b = -0.2 - -8.2. Let w = u + b. What is the second biggest value in -2\/7, -3\/8, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**21*i*i)**22\/(i**(-18)*i**6))**(27\/2) assuming i is positive.\nAnswer: i**(-5184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -84. Let -94*i**3 - 7*i**y + 4*i + 82*i**3 - i**2 = 0. What is i?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*6\/10*(-45)\/(-162).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Let i = 66 + -397\/6. Which is the third biggest value? (a) -0.2 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 20 = -8*m. Let n(s) = -5 + 14*s**2 - 7*s - 9*s**2 - 2 + 17*s**3 - m*s**3. Let h(b) = -5*b**3 - 2*b**2 + 3*b + 3. Give 7*h(p) + 3*n(p).\nAnswer: -5*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54241643?\nAnswer: 54241643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*z + 19*z - 1212000. Round z to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151605151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9940\/63 + -7 - 4\/(-18)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 816 and (5 + 218 - 5) + 5 + -15.\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 10:08 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 46 = 3*i. Suppose -10*y + i*y = -74075. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 950 = -6*w. Let b = -36 - -39. Suppose -3*s - 3*g + 292 = s, b*s - w = 5*g. What are the prime factors of s?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 2 = 4*s + 2*k, 4*k - 18 = -3*s. Let t(w) = w + s + 7 + 2 - 5. What is t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r + 4. Suppose 3*t - 28 = 2*o, 2*t + 4*o - o = -3. Suppose h - t = l + 2*h, 0 = 5*l + 2*h + 15. Is r equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t - 60 = 0. Let l = t - 24. Let c = l - -30. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 - (0 + (1 - (-1 - -3))). Suppose -l + n = l. Find the second derivative of -9*d + 2*d - 6 + l - 11*d**4 wrt d.\nAnswer: -132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, x: 2, l: 4}. Give prob of sequence lxll.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73861.16l?\nAnswer: 73861160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*p**3 - 22*p**2 + 22*p**2)*(5 + 10*p - 17*p + 5*p).\nAnswer: 50*p**4 - 125*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 15*s**2 - 157*s + 42. Determine l(22).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.5695 + 17.5226. Let a = k - 1.9405. Let y = a - 6. What is y rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1321289 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -1)\/(5\/5). Let r = 14 + x. Suppose -2*m - r = -6*m. Solve m*u = -u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.03 + 0.03. Let n = -13 - q. Which is the second biggest value? (a) n (b) 2\/5 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -3965, 4.\nAnswer: -3965, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 less than -90745786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (114\/(-3515))\/(-2)*(-5)\/3\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 - -101. Suppose -3 = -5*c + 7. Put c, h, -25 in decreasing order.\nAnswer: h, c, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6*n - 25 = -3*n, 2*z + 5*n = 10. Suppose -z = 2*d - 31. Suppose -m + 4 = -d. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*(k**(-2\/9)\/k)\/k*k*k*k*k)**(11\/4)\/((k*k**6)\/k**(-7))*((k**(-1\/3)\/k)**46)**(13\/4) assuming k is positive.\nAnswer: k**(-7207\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/22 and 59\/63646.\nAnswer: 63646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 72. What is the least common multiple of 10 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 83?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i + 2\/3*i**4 - 1\/12*i**5 + 0*i**2 + 0 + 0*i**3.\nAnswer: -i**4*(i - 8)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -28083652416248.\nAnswer: -28083652416246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74624605 + 23?\nAnswer: -74624562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(140)*2)\/sqrt(5))\/(sqrt(16)\/sqrt(4)*4 - sqrt(4)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 22 and 26\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = 3*v - 198 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94869 is divided by 668.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 496, -5, 1.35.\nAnswer: -5, 1.35, 496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s + 6 = 0. Suppose -s*x + m + 21 = 4*m, -4*m + 18 = -x. Suppose x = 2*w - w. Solve 1 = a - w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 + 5*n - 3. Let j be o(3). Let x = j - -11. Suppose -k = 5*b - 288, -3*k = x*b - 327 + 33. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2221567527.\nAnswer: 3, 349, 2121841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 4621*o - 64 - 3*o**3 + 36 - 4114*o.\nAnswer: -3*o**3 - 8735*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-132)\/(-8)*6\/(-9). Let y = h - -20. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*i = -0*i - 7, -i + 172 = 167 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19078109 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + 8 + -2 - 1*-2. Let g be (9 + o)\/(4\/12*6). Let s = 4 + -2. Solve d - g = s*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -1.4 (c) 1\/74 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 7*l**4\/24 - 10*l**2. Suppose o + 3*k = 17 - 15, -5*o - 4 = k. Calculate j(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 6*i**2 + i - 1. Let p be y(6). Is (p - 8) + 1 + 37 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043 (base 5) in base 9?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(225)\/(sqrt(5)*3))**2.\nAnswer: -10*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)\/o)\/(o*o**(2\/15))*(o*o**(-1\/3))**(-1\/12))\/((o**(-8\/7)\/(o*o\/o**7))\/((o\/(o\/(o\/((o*o*o**(-5)*o)\/o))))\/(o*o**(-7\/5)))) assuming o is positive.\nAnswer: o**(-4187\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**4\/2 + 219*q**3\/2 - 4164*q**2 + 7878*q = 0?\nAnswer: -101, 0, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 172 + 20. Let c = -45 + p. Suppose -5*j - c*n = -n - 131, 3*j = n + 83. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153275 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 + 262. Let v = 2375 + f. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*z + j + 62, -3*z = -4*j + 47. Let w(x) = x**2 + 7*x - 14. Let m be w(z). Let t**2 - 8*t - t**3 - m*t**2 - t**2 - 4 - t**2 = 0. Calculate t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(7)*-2 - sqrt(7))*-5 - sqrt(7))**2.\nAnswer: -5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12527 - 5884. What are the prime factors of z?\nAnswer: 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 16 = 9*i. Suppose -3*w = -4*v - 13, 2*v + 11 = -w - 2*w. Let m be -1 - ((-1)\/w - 2). Solve -2*o - i = -m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 168 * -0.04.\nAnswer: -6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 833170.4 decades in millennia?\nAnswer: 8331.704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12480 and 6640?\nAnswer: 1035840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/sqrt(2))\/sqrt(2))**2*2 - sqrt(24)\/((sqrt(72)*3)\/sqrt(6) + sqrt(12)).\nAnswer: -sqrt(2)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 284?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040046 to three dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d2 - -2?\nAnswer: -d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167249272 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*l + 1\/4*l**4 + 1\/4*l**2 + 1\/2*l**3.\nAnswer: l**2*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/216 and ((-7250)\/(-5400))\/(3\/(-9))?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50\/3*k + 3*k**4 + 112\/3*k**2 + 7\/3 - 26*k**3.\nAnswer: (k - 7)*(k - 1)*(3*k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77.62 - -77.92. What is the smallest value in o, 1\/5, -2\/5, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 3:16 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1009*c**2 + 981*c**2 - 2051*c**2 + c + 11)*((0 - 2 + 0)*(2*c - 4*c + c) + 2*c + 0*c - 5*c).\nAnswer: 61*c**3 - c**2 - 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*q - 10, -v = v - 3*q + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 4:00 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*m + 392, 0*m + m = 2. Let x = s + -185. Let w = -3 - -5. Solve 4*p = -8, x - w = -3*j + 4*p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120102 (base 3) to base 4\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1532 is divided by 82.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/25884 and 4\/14119?\nAnswer: 365456196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, -4, 60.\nAnswer: -4, -0.1, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010322012 - -2333?\nAnswer: 1010331011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -58.892. Let n = -0.2 - -0.22. Let k = w + n. What is k rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 6) in base 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s = 2*l - 52*s - 8849, 4*l - 17748 = 4*s. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 57.9. Let h = -0.2 + 0.4. Let o = 0.4 - h. What is the nearest to r in 0.4, 0.05, o?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*v - 2 = 2*w, 0 = -4*v + 20. Suppose -z - 2 = -w*z. Suppose -3*q = -z*i - 6*q + 14, 2*i + q = 18. What is the lowest common multiple of 3 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -24. Let x(t) = 89 - 17*t - 16*t - 87 + 36*t. Determine x(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47926 + 26677 = 104*s + 21875. Which is greater: s or -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d + 63 = -2*d + 423. What is the highest common divisor of 11145 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/2 + 84824*i**2 + 7181690061*i\/2 - 569473033311 = 0?\nAnswer: -84903, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2bdd9 (base 14) to base 10\nAnswer: -109755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x**2 - 261*x + 16*x**2 + 517*x - 256*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-2)\/(26*-1)). Let y be 18\/117 + 2338\/o. Is 13 a factor of (-3)\/(y\/64 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(1 + 0 + 1)*(2*x + 3*x - 2*x)*(-43 + 41 + 33).\nAnswer: -372*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 35*u**3 + 132*u**2 + 3*u + 3. Let f(s) = -69*s**3 - 263*s**2 - 7*s - 7. Let a(r) = -3*f(r) - 7*q(r). What is the third derivative of a(b) wrt b?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 1502*h**3 - 241113*h + 241113*h.\nAnswer: 1502*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 347251643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5404 rounded to the nearest 10?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671554 = 51*u + 671554 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s + 6 = 0. Let z be ((-9)\/126)\/((-1)\/s). Which is the nearest to 1\/2? (a) z (b) -0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 4:33 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/70*(-210)\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302030 + -1032110?\nAnswer: -130020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02202373 to 4 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 368 - 128. Let f be (-774)\/24 - 2\/(-8). What is the units digit of (a\/f)\/((-1)\/((-172)\/3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-5)\/(-5)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7016 + 752*d**2 + 3*d + 7017 + 896*d**2 - 3*d.\nAnswer: 1648*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 1:46 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 6820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/307825 or 1?\nAnswer: -6\/307825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.188 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-24))\/(4\/(-42))*(-135)\/(-630).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-7 + (-5 - -8 - -4) + -9)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (18 - 3)\/5. Suppose 17 = -p - 3*c + 62, d*p - 194 = -5*c. Let r = 28 + p. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-38)\/(-6) + -7)*(-2919)\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = 1. Let q = -2 + c. Let g be 2 + (-6)\/q + 2. Solve 3*d - g = 3*r, -r + 4*r - 9 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288320 divided by -32?\nAnswer: -9010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 99.23\nAnswer: -99.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a - 5. Let t(r) = 4*r + 3. Suppose -3*q + 0*q = 15. Suppose 0*h - 51 = 17*h. Calculate h*x(z) + q*t(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 - 2*l + 1. Let t be f(1). What is the common denominator of (-134)\/(-30) + t\/(-24)*2 and 2 + (-1 - (-18)\/11)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 36*n - 154. Let v be f(-40). Solve -v*m = m + 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -9*c**3 + 89*c**2 + 11*c + 19. Determine n(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q + 0*q - 6*q)*(3 - 4 + 0) - 2*q - 3 + 3 + 0 + 0 + 3*q)*(13 + 6 - 5)*(-4 + 0 + 2).\nAnswer: -140*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(4 - 2 + 4)*(503*l + 0 - 2816*l - 1).\nAnswer: 13878*l + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548532 times -0.5?\nAnswer: -774266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2\/7 (b) -74 (c) -5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -449 + 448.9175. Round j to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21501540 (base 6) to base 14\nAnswer: 12b508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 24 = -5*t, 6*t - 3*t + 14 = o. Suppose -15 = -5*v + o*v. Solve -5*g = p + 7, -v*p + 4*p = -3*g - 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 109*n**4 - 2*n**2 + 759*n - 4. Let a(c) = 764*c**4 - 15*c**2 + 5312*c - 30. Let t(z) = 2*a(z) - 15*u(z). Find the second derivative of t(s) wrt s.\nAnswer: -1284*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 3*o**2 + 8*o + 5. Let w be p(3). Let d(t) = t**3 - 5*t**2 + 3. Let u be d(5). Solve -u*b + b = w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 - 10*q**2 + 11*q + 20. Let i(a) = a**3 - 7*a**2 + 6*a + 11. Let v(h) = -5*i(h) + 3*j(h). Calculate v(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 4, e: 1, o: 10}. Give prob of sequence yy.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1649*a**2 - 1651*a**2 + 3297*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 59643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 36127602 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 160035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12037 (base 8) to base 7\nAnswer: -21006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 2*u + 2*u)*(2 - 5*u - 2) + (-1 + 2*u**2 + 1)*(-10*u + 3*u - 16*u) + (-u**2 - u**2 + u**2)*(1 - 3*u + u + 3*u).\nAnswer: -37*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0 - 7\/30*p**5 - 132*p**2 + 1\/3*p**3 + 0*p + 0*p**4. Let t(n) = n. Calculate t(u(v)).\nAnswer: -14*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 14333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 4*b**2 + 14*b - 23. Determine w(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Suppose 0 = -4*u - 8 + q. Let y(o) = o**3 + o**2 + 2*o + 1. Let j be y(-1). Do u and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = -2. Suppose 15 = -5*y, 3*r - 6 = 2*y - p*y. Suppose r*h - 6 - 22 = 0. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -27*u + 1. Let p(c) = 3*c - 7*c + c + 14. Let l be p(5). Let t be o(l). Calculate the greatest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3100436 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 47113867?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035266 rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77916 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)\/q*q\/(q*q*q**7\/q)*q assuming q is positive.\nAnswer: q**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05355 to three decimal places.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3078 and 27702?\nAnswer: 27702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 23 - 15 + 4*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574 - 2*v - 4*v - 26.\nAnswer: -6*v + 548","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 12*l + 21. What is m(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177915*m**2 - 477747*m wrt m.\nAnswer: 355830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168747*i*j*l**2*r - 307*i*j*l**2 + 62969*i*j*l - i*j + 2*i*l**2 - i*l - 2*j*l*r - 699*j wrt l?\nAnswer: -337494*i*j*r - 614*i*j + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, e: 3, w: 7, n: 4, k: 2}. What is prob of sequence weme?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57 or -465\/8?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3*o + z - 32, 0 = -4*o - 3*z - 32. Let q be (-4)\/(-16) - 278\/o. Suppose 5*m = 3*r - q, -3*m + 7 + 59 = 4*r. Solve -2*d - d = -r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -423 + 588. What is the units digit of -1*(-3982)\/m - 4\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -296 - -298. Factor 8*q**2 - 6*q**2 + 4*q**3 - 5*q**p - q**4 - 10 + 10.\nAnswer: -q**2*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20893.3 + 20793.357. Let y = h + 100. Let z = y + 0.043. Which is the third smallest value? (a) 7\/5 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-2) - (136\/(-16))\/(-17). What is the closest to 0 in z, -3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Let w be j + 1 + -1 + -1. Suppose -2*g + w = -4. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/221 + (-20)\/156 + (-100)\/3.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3044 bigger than -30429\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-210)\/36)*-15. Suppose 7*h + 4367 = b*h. What are the prime factors of h?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*r + 820154 = 320*r. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10867765, -10867774, -10867783?\nAnswer: -10867792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484 is divided by 1478.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 54. Let m = x - 17. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 14*n - 16 = 0, 3*z = 2*n + 78733. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1165442 (base 11) to base 3.\nAnswer: -10211000101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91) + sqrt(91) + -2*(sqrt(91) + sqrt(91)*-2 + sqrt(91)) - sqrt(91)) - 2*sqrt(91)*-6)\/((sqrt(2268) + sqrt(63))*3).\nAnswer: 4*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -204*o**4 + 2440*o**3 - 7248*o**2 - 288*o = 0.\nAnswer: -2\/51, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*h + 74*h - 28*h + 5387*h**2.\nAnswer: 5387*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 2\/13 (c) -1\/7 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a day in minutes?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -1\/8, 3\/7, -3\/4, -8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/20*(-35)\/42. Let q = 0 - 3. Suppose -3*n = 5*u + 26, 4*n - 2*u + 28 = -7*u. Which is the closest to 0.1? (a) q (b) n (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -509842000 to the nearest 1000000.\nAnswer: -510000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - q + 3. Let t be i(0). Suppose 4*p - 1 = -3*n + t, 5*p = -n + 5. Suppose n*s + s = -4. Sort -5, s, 5 in increasing order.\nAnswer: -5, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8569, -8515, -8425, -8299, -8137?\nAnswer: -7939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(sqrt(133) - ((sqrt(133) - sqrt(133)*2) + sqrt(133) + sqrt(133))))\/((-1*sqrt(21))\/sqrt(3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 40 = 0, -297*g - 136744 = -3*a - 292*g. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4900761431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 5, -1\/3, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68376 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1222011000000 (base 3) to base 7\nAnswer: -11614620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 3725310080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27.586 and -0.2.\nAnswer: -5.5172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -429*h**4 + 26 + 43 - 46 - 2*h**2 + 19*h + 793*h**4 wrt h.\nAnswer: 4368*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*q + 13, 3*w = -1 - 2. Suppose -88 = -3*i - q*i. Calculate the least common multiple of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114372 divided by 28593?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1058 (b) 19 (c) 155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229916, -229925, -229940, -229961?\nAnswer: -229988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w - 1299 + 427. Let y = 112 + w. Find r such that -r**3 - 5*r**4 + 2*r**4 - r**4 - y*r**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*v, h = v + 3*v - 15. Calculate the remainder when 53 is divided by (0 + v\/(-6))*-38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*x - 9*x + 31*x + 4*x - 2*x - 4*x + (3 - 1 - 1)*(-x - 3 + 3) - 7*x + 3*x + 3*x + 2*x + 37*x + 0*x in the form v*x + m and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(2057) - (2 + sqrt(2057))*-6) - (1*sqrt(153)\/(sqrt(1089) + -4*sqrt(1089) + sqrt(1089)))**2) + -3.\nAnswer: 3855\/484 + 77*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 w when four letters picked without replacement from {w: 2, k: 5, d: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -58*t**2 - 5*t + 3. Let r be s(1). Put 0, r, 2, -4 in increasing order.\nAnswer: r, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 67. What is the remainder when (-11)\/((-55)\/175) - (9 + (4 - 19)) is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2616 is divided by 647?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -534 in -4, 4, 403, 1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n**2. Let t(z) = 14*z**2 - 3*z - 129. Give t(a(r)).\nAnswer: 1134*r**4 - 27*r**2 - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (50\/(-8) - 0)*14\/21 and ((-90)\/(-32))\/(-5)*14.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*t = 3*o + 3000000, -3000000 = 4*o - t. What is o rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 + -61. Let j = p + -81\/5. What is the nearest to -8 in j, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**2 + 6 + 6*l**2 - 73*l + 81*l. Let a be m(2). What is the greatest common divisor of a and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - -13) + 5 + -9.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 692391 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54*(2247\/(-42))\/(-107)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-1\/49)*m*m\/(m\/(m**(-3\/16)*m*m*m))*m**27\/m**(-10) assuming m is positive.\nAnswer: m**(32797\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -219\/25 or -747?\nAnswer: -747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(15\/(-40))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -2)*(9 + 40293\/(-3)). Suppose 8*x = 6*x + v. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 108 = s, 0 = 3*j + 5*s - 315 - 9. Calculate the remainder when 2481 is divided by j.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g - 22*g - 25*g + 3 - 20*g + 65*g.\nAnswer: -12*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2404821156?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -377 + -571264576\nAnswer: -571264953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*z + 2)*(-1 + 1 + 2*z) + 0*z**2 - 2*z**2 + 0*z**2 + 257*z**2 - 567*z**2 + 120*z**2 as i*z**2 + o*z + k and give i.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**3 - 3*h**2 - 574*h**4 + 0*h**3 + 570*h**4 - 2*h**3 in the form p*h**3 + f*h**4 + w*h**2 + z*h + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 12. Suppose s = 7*t + 98 - 350. Let p = -6 + 10. Calculate the greatest common factor of t and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/94, 5, 1, -1\/3?\nAnswer: 3\/94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 60292a + 23?\nAnswer: 602952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 + 3*z**4 - z**4 + (-37 + 33 + 51 + 3*z)*(3*z**3 - 4*z**3 - z**3).\nAnswer: -5*z**4 - 94*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 + 54*u + 30. Let z be b(27). What is the highest common factor of 210 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 - 2*k**2 + 12*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 61 = 67. Suppose x = 122*c - 118*c. Let s(q) = 5*q**2 - q + 1. Let o(n) = -15*n**2 + 3*n - 3. What is c*s(z) + 3*o(z)?\nAnswer: -5*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0.1. Let r = -1278 + 1298. Let s be r\/132 + (24\/(-33))\/(-4). Which is the smallest value? (a) 13 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 95403 - 95441 - 2*x**2 + 190845.\nAnswer: -6*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -2*g - 7. Let k = g + 221. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4734*v**2 + 5002*v**2 + 5870*v**2 + 206*v**2 + 743*v**2 + (2*v - 1 + 1)*(-2*v + v + 0*v) to m*v**2 + g + r*v and give m.\nAnswer: 16553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4223*w + 2023 = -4104*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -871, -918, -965, -1012?\n\"Answer: -47*v - 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63961 and 668?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 2*i - 7. Calculate w(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -66, -114, -158, -198, -234, -266?\n\"Answer: 2*p**2 - 54*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003225 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 11:10 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.3987 - -3.9858. What is x rounded to two dps?\nAnswer: -3.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (85320\/(-3240))\/((1\/9)\/((-18)\/(-54)))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 13 + 11 = 0. Let m = 53 + -39. Calculate the remainder when m is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 101*h**2 - 212*h - 614. Let s be x(-103). Let n = 0 - -1. What is the smallest value in s, n, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1873 (base 10) to base 3\nAnswer: -2120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let z(v) be the second derivative of -1\/12*v**4 - v**2 + 2*v + 0*v**3 + 0. Let u(y) be the first derivative of z(y). What is u(l(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q - 3 - 2*q**2 + 2*q + 7*q**2 - 5*q**2 + 3*q**2 to f + x*q + m*q**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-1))\/(3\/72*-9). List the prime factors of (-2 + -5 + -55)*k*1.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 581*q**4\/2 - q**3\/3 + 799*q**2 + 11019. What is the second derivative of z(t) wrt t?\nAnswer: 6972*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -2.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b + 4*b - 134 - 3*b + 252. Let m be k(-8). Solve 8*z + 8 = m*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -425\/6 + 71. Let p = -526 + 2103\/4. What is the nearest to 2\/7 in p, 2, k, 0.05?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/14*(1\/5)\/1\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + -4.08. Suppose -3*z = -6*z + 72. Let r = 145\/6 - z. What is the second biggest value in 2\/3, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 10:54 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 80*r**3 + 159*r**3 - r**4 - 78*r**3 in the form n*r + b*r**3 + z*r**4 + k + c*r**2 and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 81 = -9*y. Which is the closest to -2? (a) -2\/7 (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**4*y**3 - 2*x**3*y**3 + x**2*y + 2*x*y**3 - 2*y**3 wrt x.\nAnswer: 24*x*y**3 - 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(8*d - 15*d - 7*d).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -19*b**4\/4 + 40*b**3\/3 - 20*b**2 - 2*b. Let u(n) = -n + 1. Let x(w) = -3*u(w) + y(w). What is the derivative of x(j) wrt j?\nAnswer: -111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*z - 1 - 42*z - 2)*(42 - 42 - 6*z**3).\nAnswer: -72*z**4 + 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 864796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5 + 10 - 2))\/(-3 + 7)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3 + 27*s + 54 = 0. Calculate s.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**6\/(v*v\/(v*v**(1\/2)\/v))*(v*v*(v*(v**(-2\/5)\/v*v*v)\/v)\/v)**(2\/55) assuming v is positive.\nAnswer: v**(2507\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 67, 134, 217, 310, 407?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 22*v**2 - 25*v - 41. What is the remainder when t(-23) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 1220519?\nAnswer: 1220519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13834.\nAnswer: 2, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 + 3\/(-6)*-2. Let u = 16 + g. Suppose -2*t = -u - 6. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23, 47, 73, 101?\n\"Answer: n**2 + 21*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 4*w**2 + 5*w - 13. What is f(-7)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**5\/120 - 19*g**4\/48 + 35*g**3\/6 + 3*g**2 - 4*g + 2. Factor t(q).\nAnswer: (q - 14)*(q - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2658?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s + 36 - 124 = 0. Factor 3*m**4 - s*m**4 - 27*m**2 - m**4 + 31*m**2 + 2*m**3.\nAnswer: -2*m**2*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3394537, 3394540, 3394561, 3394612, 3394705?\nAnswer: 3394852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 144767333, 289534669, 434302005?\n\"Answer: 144767336*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6768186.518 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 20 = 3*g, 3*d - 2*g - 3 = -18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.734 plus -0.261861?\nAnswer: 167.472139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t - 507013. Let k(f) = 3*f. Calculate h(k(x)).\nAnswer: -21*x - 507013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/19)\/f)\/f**(2\/11))**(-2\/47))**1 assuming f is positive.\nAnswer: f**(538\/9823)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 123*q + 148*q + 39*q + 8.\nAnswer: 310*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10191239 is divided by 3025.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -920 = -9*t + 4*t. Suppose -g - g = t. Is (-2 + 1)*(g - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 99*w - 1978. Calculate p(-116).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 10*u**3 + 2*u**2 - 11*u**3 - u - 17*u**3 + 41 - 9*u. Find the second derivative of a(x) wrt x.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 26 = -2*v, 0 = 3*h + 4*v + 36 - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*v - 29. Let p = v - 15. Calculate the remainder when p is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 83*z - 850 = 3*v, 0 = -4*v - 4*z - 94 + 114 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + b - 2 = 0, 2*b - 23 = -5*f + 4*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -297 - 19. Let r = c - -468. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 40 - 65)*(3*d + d - 5*d + (1 + 0 + 0)*(-d - 2*d + d) - 11 + 11 - d) in the form m*d + n and give m.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -33) + 27 + -32.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -102203132?\nAnswer: 102203122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69\/4 + 18. Factor 27\/4*k - 9\/2*k**2 + n*k**3 + 0.\nAnswer: 3*k*(k - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, s: 1, a: 1, i: 7}. What is prob of picking 1 e and 1 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 + 5*q**2 - 13*q - 13. Let f = -1093 - -1085. Let r(l) = -3*l**3 + 8*l**2 - 20*l - 20. What is f*m(g) + 5*r(g)?\nAnswer: g**3 + 4*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**3 + 7*h**2 - 11*h + 5. Let p(u) be the third derivative of u**6\/60 - u**5\/15 + u**4\/4 - u**3\/2 + 7*u**2 - 33*u. Calculate 5*p(l) + 3*z(l).\nAnswer: -5*l**3 + l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 504878 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*(sqrt(153) + (2*sqrt(153) - sqrt(153)) + sqrt(153)) - sqrt(153) - (1*sqrt(153) + sqrt(153) - sqrt(153) - sqrt(153))*-3)\/(3*sqrt(900)))**2.\nAnswer: 11*sqrt(17)\/15 + 2957\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + -1. Let z = c + 17. Let p = z + -11.74. Round p to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 3*u - 1159. Let k(w) = -w**2. Calculate l(k(s)).\nAnswer: s**4 + 3*s**2 - 1159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137823988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/1065 and -109\/540?\nAnswer: 38340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - 528*w + 1. Let l(a) = -4*a. What is f(l(u))?\nAnswer: -32*u**2 + 2112*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73872 is divided by 72?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 + (-732)\/(-16))\/(7\/28)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1511165 (base 7) in base 4?\nAnswer: -301323230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 11:45 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/3996 and 91\/8.\nAnswer: 7992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**2 - 35469900*w + 62905690300500 = 0 for w.\nAnswer: 3546990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177476?\nAnswer: 2, 3, 98123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -2167 and -3112 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f**2 - 22*f + 53. Is 5 a factor of p(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2308 + 6700. List the prime factors of l.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 238 in -4, -3\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 18 = 0. Let q = 19 - z. What is the remainder when ((-4)\/(-12))\/(q\/9) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -11. Calculate the greatest common divisor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 9:02 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 5*g + 4. Let k be c(4). What is the greatest common divisor of k and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*r - 74*r + 1004 + 16*r + 17*r + 21*r to g*r + b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 3:58 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3176 + 4681. Suppose -8*o + 4*a - y = -13*o, o = -2*a + 307. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1039*q**2 - 2088*q**2 - 47*q + 1056*q**2 - 5 in the form m*q + r*q**2 + w and give m.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1775*z - 3 - 4 + 10 - 1777*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*z**2 + 3*f*z - 8*f - 102*z**2 - 11*z - 22534 with respect to z.\nAnswer: -2*f*z + 3*f - 204*z - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 3:22 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4074?\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 - 1638 = -1670*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -61. Let l = c + 67. Let o = -569\/4 - -143. What is the closest to 2 in l, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*v - 35 = 0. Let o = 0.0733 + 2.3267. What is the closest to -0.2 in 2, v, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - y**2 + 6*y**2)*(-5 + 5 + 4*y).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4826 (base 9) to base 5.\nAnswer: 103323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m + 55*m - 164*m + 57*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -198, -3, 5, 2, 6 in decreasing order.\nAnswer: 6, 5, 2, 0, -3, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 6*x = -38010. Let z(h) = -3*h**2 - x*h + 3801*h. Let a(o) = -12*o**2. Let d(l) = -4*a(l) + 15*z(l). Let u(t) = 2*t. What is d(u(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, r: 9, i: 7, j: 1, u: 1}. What is prob of sequence iriu?\nAnswer: 21\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u**4\/2 - 66*u**3 - 261*u**2 - 270*u + 243\/2 = 0 for u.\nAnswer: -9, -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/2 + 7727*s - 30932.\nAnswer: (s - 4)*(3*s + 15466)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-13) + 24\/78?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*1*sqrt(121))\/(6*sqrt(44)\/sqrt(4)))*1.\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207034369*t**2 + 0*t**3 - 207034369*t**2 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 633.695.\nAnswer: 3168.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k**4 + 3*k**4 + k**4 + (6*k**3 + 3 - 3)*(3 - 3 - 3*k))*(370*k - 795 + 396 + 399).\nAnswer: -8140*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 5. Determine x(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/9038040 and -47\/376585.\nAnswer: 9038040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -43.482.\nAnswer: 86.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7665 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4*j + 28 = 0, 12*c + 21 = 8*c + 3*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-9)\/(-18)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from tkkwkuuukuu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -967*c**3 + 3*c**2 - 70 - 257*c**3 + 2201*c**3 + 4*c**2 wrt c?\nAnswer: 5862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -322918210 <= -322918204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 21 = 3*p. What is the smallest common multiple of 2 and 0 + (5 - p) - -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_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: Solve 2*v + z = -0*v - 8762 + 8780, 3*z - 64 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 8:50 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -13, -4, 87, 366, -1.\nAnswer: -13, -4, -3, -1, 4, 87, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 22. What is the tens digit of m\/2*94 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 5*a + 35, 4269*a - 4262*a + 49 = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/60*13\/(312\/32).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 279612 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*d**4*m + d**4 - 3093*d**3*m + 2*d**3 + 925997*d**2*m wrt d.\nAnswer: -168*d*m + 24*d - 18558*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 + 0))\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a meter in micrometers?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1538 - 1506.05. Let l = z + -32. Let n = -0.012 - l. What is n rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/40 + (-65)\/4. Let z = -6 + w. Let g = z + 40. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 21 = 5*d, -2*k - 7 = d - 0. Let r be 5*k\/15*6. Let m = -15 - -17. Sort -1, m, r in increasing order.\nAnswer: r, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (23712\/(-16))\/((-8)\/4) is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 - 56*w + 1. Give n(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -3\/10, -1, -0.003?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*t - 2920, 3*t - 5*t = -y + 580. Let z = 608 - y. Suppose 3*g = -l + 108 + 12, 40 = g - 2*l. What is the highest common factor of g and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d - 155. Let g be o(31). Which is the nearest to 1\/3? (a) 2 (b) g (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 c, and 2 j when four letters picked without replacement from {j: 1, c: 5, w: 1, h: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333825206 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 26*n + 16. Let h(r) = 6*r - r - 3 + 2 + 4. Let j(k) = 16*h(k) - 3*q(k). Let t(y) = -2*y**2 + 2*y**2 + 3*y**2. What is t(j(s))?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(875)*-5)\/(5*-3*sqrt(5)*3).\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486088?\nAnswer: 2, 60761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010 (base 2) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 10. Let p be g(4). Does -4\/5 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 0.697578\nAnswer: -7.673358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -91357*p + 2192582. Calculate k(24).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + -0.6. Let y = 1 + v. Which is the smallest value? (a) 4\/3 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8322 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2. Let r(u) = -103*u**2. Give c(r(a)).\nAnswer: 10609*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 480505579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230101120 + -2112?\nAnswer: 230033002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 + 2*r. Let a be n(-2). Let h be (-1)\/1 - (-65)\/13. Let b = a + h. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 6*w - 6. Let f(g) = 2*g**2 + 12*g - 11. Calculate -6*f(j) + 11*i(j).\nAnswer: -j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 389, 1014, 1909, 3086, 4557, 6334?\nAnswer: 8429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111 - 109.93. Round a to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396 and 81?\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**4\/8 - 2*j**3\/3 + 101*j**2. Determine s(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 3*c - 3*c)*(1 + 10*c - 3*c - 3*c).\nAnswer: 4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8368 is divided by 263?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3888 and 1620?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 466004.4l?\nAnswer: 466004400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -920\/13, -1, -0.3, 932.\nAnswer: -920\/13, -1, -0.3, 932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-6*(sqrt(117) + 2*sqrt(117))*-3)\/(((-2*sqrt(1089) - sqrt(1089) - sqrt(1089)) + sqrt(1089))*-5 + sqrt(1089)))**2.\nAnswer: -9477\/3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {p: 1, a: 2, k: 4, l: 2, j: 1, e: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*f, 0 = -5*n + 5*f - f - 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -17, 5, 28\/339, 0, 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a - 590 = -430 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 27*k**2 - 2*k + 59. Let l be x(27). Suppose -488 = -l*p - 338. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -660, -9744, -35666, -86844, -171696, -298640?\n\"Answer: -1403*h**3 - h**2 + 740*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-1\/3)*k**(-4\/9) assuming k is positive.\nAnswer: k**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 808?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62343 - 15620. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6290.463ml?\nAnswer: 6.290463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:16 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -111, 0.2969, -1.5?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/10 + (0 - 124\/20). Sort 1\/5, f, -1\/3, 5\/4 in ascending order.\nAnswer: -1\/3, f, 1\/5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1994 and -0.126?\nAnswer: -251.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3457 - 17?\nAnswer: 3440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8146906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*b - 3630 = 271*b. Sort b, 1, 0 in decreasing order.\nAnswer: b, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - -107. Is h a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, q: 2, a: 4, g: 4, f: 2}. What is prob of picking 1 a, 1 f, 1 q, and 1 g?\nAnswer: 64\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09 minus 231061.526978?\nAnswer: -231062.616978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-3 - (-39)\/18). Suppose 4 + 2 = -3*h. Which is bigger: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 14964*s**2 - 7477*s**2 + 10387*s**4 - 7487*s**2 + (1 + s**2 - 1)*(2*s**2 + s**2 - s**2) as t*s**3 + y*s**4 + m*s**2 + u + x*s and give y.\nAnswer: 10389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4\/6*(-90)\/30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5 + 4.5. Which is the third smallest value? (a) -3\/8 (b) 0.03 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0776994 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 34 - 32 = 0. Is 1\/30 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-3 - -3)) + -1 - (19 + -2 + -6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4*m - m)*((2*m**2 + 0 + 0)*(-m + 0 + 0) - 2*m**3 - 4 + 4 + 3*m**3 - 2*m**3 - 3*m**3 - 2*m**3 + 2 - 2).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -42016 divided by -3?\nAnswer: 42016\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 3 + 4*d - d. Suppose 0*a + a = 5*k + 33, k = -5. Let g be (2 - 0)\/(a - 9). Give m(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2251*i - 362389. What is w(-161)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/13026 and 133\/858.\nAnswer: 143286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 2, 3, -164?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by -1 - 26\/(-2)*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (54*w - 76*w - 146*w)*(3*w - 5*w + 4*w + (1 + 3 - 6)*(-2*w - 2*w + 3*w) + 2*w - w + 2*w) in the form z*w + v + x*w**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 12:10 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-36)*9149\/35. Let c = b + 127\/4. Calculate the common denominator of -5\/9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - ((-5)\/20)\/(1\/(-4)). Solve 5*f = o*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 4*f + 2. Suppose -36 + 131 = 5*g. Let p = -15 + g. Let z be ((-4)\/(-3))\/(p\/18). Calculate a(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 6 + -12 + (6 - 0)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 39368 - -15496\nAnswer: 54864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431 (base 5) to base 7.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 407, 760, 1123, 1502, 1903, 2332?\nAnswer: 2795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -0.425575?\nAnswer: -3.4046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 5*b + 23. Calculate d(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/36)\/(0 - 13\/(-117)). Let y(a) = 5*a**2 + 20*a. Let s(r) = -r**2 - 4*r. Give z*y(w) - 11*s(w).\nAnswer: w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 311, -2, -80 in decreasing order.\nAnswer: 311, 12, -2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - -233656742.9932.\nAnswer: 233656789.9932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - 1\/(3\/6). Let n(f) = -3*f - 13. Let v be n(y). Suppose -3*w + 35 = 2*x, 0*w = 2*w + v*x - 38. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 6*n**2 + 33*n - 24. Let g be f(-11). Let l = -186 + g. What is the greatest common factor of l and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -191.9 + 182.29. Round u to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867905327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12409910.\nAnswer: 2, 5, 1240991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5 = -10*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**2 + w - w**2 + 2*w - 7*w**2 in the form t + i*w + j*w**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8565628km to meters.\nAnswer: 856.5628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -768.31 + 764. Let f = k + 7.31. What is the biggest value in -0.1, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - (-49 + 15)) + 37\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -256513 greater than -256511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r + 3*r)*(-58*r + 4613 - 4613 + (-3 + 1 + 6)*(1 - 1 + r)).\nAnswer: -108*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31229, 31258, 31307, 31376?\n\"Answer: 10*r**2 - r + 31220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*g = 3. Let j be 1\/g + (-26)\/(-6). Let h = j - 0. Solve h*u = 3*n + 2*n - 3, -2*n = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.6913749 less than -4?\nAnswer: -51.6913749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -197, 177, -5, 4 in decreasing order.\nAnswer: 177, 5, 4, -5, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2 + 527226*m + 527223 = 0.\nAnswer: -175741, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, 4, 3, -4 in increasing order.\nAnswer: -19, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529971244 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 342\/(12 + 6) + -34.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-1\/38)*g**(-3\/8))\/(g**(-3\/31)\/(g**10*g)) assuming g is positive.\nAnswer: g**(60069\/4712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27550 is divided by 91.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 3:30 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**2. Let w(y) = -7*y**2 - 5*y + 5. Let s(a) = 8*a - 8 + 2*a**2 - a**2 + 0*a**2 + 10*a**2. Let c(m) = 5*s(m) + 8*w(m). What is c(z(r))?\nAnswer: -25*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5258259, -5258257, -5258255, -5258253, -5258251, -5258249?\nAnswer: -5258247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(14*3\/63).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**3 - 4*u. Let c(w) = 2*w**3 - 69*w + 6. Let m(n) = 5*n**3 - 195*n + 17. Let x(a) = 17*c(a) - 6*m(a). What is 3*p(v) - 4*x(v)?\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 t when three letters picked without replacement from ttfttttnnttf.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 - 106 = -4*y. Calculate the remainder when y is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**7\/35 + f**4\/2 - f**2. Find the second derivative of o(r) wrt r.\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 5*u - 62, -13*d - 1 + 38 = -10*d + u for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*n + 5. Let w(y) = -y**n - 2*y**2 + 3*y**2 - 2*y**2. Let l(f) = -2*f**2. Let o(d) = -7*d**2. Let m(c) = 9*l(c) - 2*o(c). What is m(w(v))?\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v - 3*v = 152. Solve 2*n + 3*y = 8, v*n - n - 12 = 4*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 at least -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4205069.\nAnswer: 11, 17, 113, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5709 - 4940. Calculate the remainder when s is divided by 87.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -18. Let r(d) = -d + m + 3*d + 37. What is the tens digit of r(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1095808609*p**2\/5 + 66206*p\/5 + 1\/5.\nAnswer: (33103*p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 478 - 8114\/17. What is the third biggest value in a, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 18, f: 2}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8046*x - 945*x + 573*x.\nAnswer: 7674*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 13*b + 4*b = 9*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 7081849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 72\/((-15552)\/(-11934)) + 3\/4\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -387*m + 1542. Let j be o(4). Let z(u) = 6*u**3 + 5*u**2 - 3*u + 4. Let q(h) = -5*h**3 - 5*h**2 + 3*h - 4. Let g(n) = -5*q(n) - 4*z(n). Give g(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2934 + 2934.005503. What is d rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 150604341.\nAnswer: 1957856433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123984 = -53923*a + 55891*a for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**4\/24 - r**2\/2 + 2. Let z(l) be the second derivative of c(l). Let o(p) = 2*p**2. Give o(z(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(114)\/(6*(sqrt(6) + sqrt(6)*1 + sqrt(6))).\nAnswer: -1 + sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -6\/17, 2, 0.2, 1, 14178?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 0*s**3 - s**2 + 0 + 0*s - 1\/24*s**4. Let d(j) be the second derivative of -j**3\/3 + 2*j. Determine u(d(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2759 + 2804 - (13 - 1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 299, 187, 75, -37, -149?\n\"Answer: -112*a + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 9*q**2 - 7*q + 7. Give u(10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 7339865985.\nAnswer: -7339865989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-54)*(1 - -2)*(-418)\/(-627)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, b: 2, l: 2, f: 2, p: 4, u: 3}. Give prob of picking 2 b, 1 u, and 1 l.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17770 and 180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 671213729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-286)\/38)\/((-6)\/(-4)). Let m = -26147\/5586 - d. Let w = 225359 - 4957929\/22. Find the common denominator of m and w.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 4, v: 2}. Give prob of picking 3 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.13956 to one dp.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/12))**38*(x\/(x\/(x\/x**(-3)*x)))**(3\/2))**45 assuming x is positive.\nAnswer: x**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 84358, 84350, 84342, 84334, 84326, 84318?\n\"Answer: -8*g + 84366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386816.\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36711 rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -13 - (15 + -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10953680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*s + 2 = 66, -4*j + 2*s = -186. Calculate the remainder when 86 is divided by j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 768868414 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - 4*k + 2*k)*(-68 - 195 + 42) as u + d*k and give d.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.5 - -7. Let y = 1.5 + g. What is the nearest to 0.2 in -1\/6, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 + 104 + 2*u**3 - 197.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-5)\/((-1190)\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-19)\/(-2))\/(8\/16). Suppose 291 = 5*x - m. Calculate the remainder when x is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 2?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42759724 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -200, -1159, -3634, -8345, -16012?\n\"Answer: -120*y**3 - 38*y**2 - 5*y - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112565?\nAnswer: 5, 47, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1625 and 1800.\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4891 - 4890.999996273. What is x rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 2*j - 4. Let p be i(6). Suppose p = 3*o - o. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74138.38 tonnes in nanograms?\nAnswer: 74138380000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 335192 and 1256970.\nAnswer: 5027880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 18*l - 4545. What is m(77)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -535*s - 539*s + 1617*s - 541*s. Let m(a) = -7*a**2 - 19*a. What is m(n(c))?\nAnswer: -28*c**2 - 38*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(1\/(-9)))\/(606\/(-808)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 16*c**2 + 324*c + 83. What is h(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/13539 and -21\/19938434.\nAnswer: 59815302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1770 and 14470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 + 11*m**2 + m - 4. Let u(a) = -a**3 + 9*a**2 - 3. Let o(b) = -4*i(b) + 5*u(b). Let z(c) = 8*c**3 + c**2 - 5*c + 1. What is 5*o(x) - 4*z(x)?\nAnswer: 3*x**3 + x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d\/d**2*d))\/d)\/(d*d**(5\/2)\/d))\/(d**2)**(6\/7) assuming d is positive.\nAnswer: d**(-73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/835 and 97\/22712?\nAnswer: 113560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)\/y)\/(((((y**(-4\/5)\/y)\/y*y)\/y)\/y)\/y)*y**(-2\/11)\/(y**(-3\/4)*y)*(y*y**(-1)*y)**(-1\/30)\/(y*y**(3\/2)*y**(-6)) assuming y is positive.\nAnswer: y**(1577\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5) + 0 - (sqrt(5) + 1*sqrt(5) + sqrt(5) + sqrt(5))*4) + (sqrt(20)*-4 - sqrt(20))*-2.\nAnswer: -2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 26146?\nAnswer: 601358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27299669 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/11, 443\/26, -3, 1, -0.4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l - 15. Suppose 3*t = -6 - 3. Let n = -16 - -9. Let m(r) = -3*r + 7. Let p(x) = n*m(x) + t*s(x). What is p(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5260 rounded to the nearest 100?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/110768131 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -156 (base 8) to base 4\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*l = 20, -6*y + 4*y + 3*l = -55. Suppose 0 = -15*k + y*k - 35. Suppose -k*n - x = -2*n - 87, n - 3*x = 27. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15.2065, 3\/5, -0.4 in ascending order.\nAnswer: -15.2065, -0.4, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 5*p = 88 - 142, -2*s + 4*p - 10 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979180537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 0)*(-u + 6*u - 4*u) + 7*u + u - 3*u + 4*u - 4*u - 2*u - 4*u + 0 + 0 + (3*u - u - u)*(-1 - 2 - 2) to y*u + n and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 - -221. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39061 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**5\/60 + l**4\/6 + l**3\/3 - 2*l**2. Let p be v(5). Is 16 a factor of (p - 14\/(-3))*12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5859750*q**2 - 4660215*q wrt q.\nAnswer: 11719500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1.11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**3 + 9*n**2 - 6*n - 3. Let o(s) = -6*s**3 + 9*s**2 - 7*s - 4. Let p(t) = 7*i(t) - 6*o(t). Let c be p(-9). Solve a = -c*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Suppose 9 = -5*i + 29. Suppose s = i - 0. Let m(b) = s*b - 4*b - b - b. Give h(m(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(20)*-6)**2.\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 648?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 12*t**3 + 324*t**2 + 1339*t + 90. Calculate o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.517 plus 0.08?\nAnswer: -0.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 45*g**2 + 1353*g + 3683. Calculate p(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g - 0. Let l = 8 + -4. Let a = l - 2. Is a at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than 17\/1477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*t**2 - 20*t**2 + 96 - 87 - 51*t - 5*t**3 = 0.\nAnswer: 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1331*k**5 + 6418808*k**4 + 2918509*k**3 - 2864986*k**2 + 598060*k - 38584 = 0 for k.\nAnswer: -1, 2\/11, 4823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**4\/84 + d**2\/14 - 8*d. Factor c(r).\nAnswer: -(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11154 - 2?\nAnswer: -11156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6))**(-6\/17)\/(l\/(l**(-2\/55)*l)*l)**0 assuming l is positive.\nAnswer: l**(36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 88392095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 931*z + 604*z + 606*z - 2140*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3603.5 - 2942. Let r = 548 - t. Let c = r + 94. Round c to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 17*y**2 + 8*y + 5. Let l(t) = 8*t**2 + 4*t + 3. Give -5*l(m) + 3*r(m).\nAnswer: 11*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 divided by 6?\nAnswer: 175\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z*z\/(z\/((z\/z**(2\/11))\/z)*z*z))\/z)*z**(3\/4)*(z**(2\/11))**(-7\/4) assuming z is positive.\nAnswer: z**(159\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - 0. Let k = -1.8 + 1.71. Let y = k + h. Sort 0.1, y, -0.5.\nAnswer: -0.5, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24, -17, -58, -99, -140?\n\"Answer: -41*v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - j**2 + 3*j**2 - 4*j**2 + 3 + 3*j**2 - 3 + (5*j - 5*j + 2*j)*(0*j + 2*j + j).\nAnswer: 7*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161270 - -321270. Round b to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*w**4 - 5\/6*w**2 + 0 - 1\/2*w - 1\/6*w**3.\nAnswer: w*(w - 3)*(w + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from aaaaalxxvlivvaavaaa.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205701053?\nAnswer: 3, 211, 1904741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -3) + (540\/(-42) + 13)*-95?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (1 + -123 + (-1 - -4)). Suppose -l + 7*l = p. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47 and -80.\nAnswer: -3760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10266725 and 255374.\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4\/5 - 63*a**3\/5 + 9537*a**2\/5 - 53613*a\/5 - 12642 = 0.\nAnswer: -70, -1, 7, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, 7, 4, 1?\n\"Answer: -3*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 10 = 0, l + 2*f + 0*f + 7 = 0. Let k be (-2)\/(l\/315*-6). Let h = 23 - k. Is 33 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 2*r + 2*r. Let b(v) = 107 - 33 - 37 - 4*v + 11*v - 8*v. Determine b(s(y)).\nAnswer: -y + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*k**3 - 6443*k**2 + 97216.\nAnswer: 30*k**2 - 12886*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (693\/351)\/(1\/(-33)). Let o = 5983\/104 + f. Let k = -145987\/16 - -9127. Find the common denominator of k and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*-2 - (-2 - 0). Let m(d) = 1 + 6*d**2 - 5*d**2 + d**2 + 5*d. What are the prime factors of m(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 61, -3, 0.4, -52, -0.08?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7413 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2)*8\/(-30). Let b = 10 - 7. Suppose 0 = -3*l - 3*p - 7 + 22, -3*p = -b*l - 9. Which is bigger: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*v**3*x**2 + 13*v**3 + 4221*v*x**4 - 3*v + 176 wrt x.\nAnswer: 8*v**3*x + 16884*v*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4122*r**3 - 4*r**2 + r - 6. Let p(c) = -4122*c**3 - 3*c**2 + c - 5. Let s(y) = 4*l(y) - 5*p(y). Is s(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -13 (b) 1\/3 (c) 0.5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) -0.2 (c) 10\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332533, -665030, -997527, -1330024?\nAnswer: -1662521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/61255?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001564 rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244 and 39772?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028 less than -481.865?\nAnswer: -481.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 1.22 (c) 2\/55 (d) 45\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 803 + 1 - (-3 + 7). Round y to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Three letters picked without replacement from {v: 3, s: 4, z: 1, x: 1, j: 2, h: 1}. What is prob of sequence jhx?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 5*m - 2, 3*m - 6 = 0. Let v(z) = -q*z + 7*z - 4 + 4. Let f(u) = 10 - u**2 - 10. Determine v(f(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-40)*(-36)\/(-675).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9862479 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c**3 + 2*c - 14*c**3 - 2*c - 4*c**3.\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = -10*t - 4*t + 509850. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 + -10)*(3 + 136\/(-44)). Factor -h*f**3 + 2\/11*f**2 + 2\/11*f - 2\/11.\nAnswer: -2*(f - 1)**2*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23285, 46530, 69775, 93020?\n\"Answer: 23245*i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -959 by 3.\nAnswer: -959\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h = 20. Suppose 4*a = -h*p + 133, 0 = 3*p - a - 4*a - 102. What are the prime factors of p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -6ab?\nAnswer: -6b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/168 and -53\/53368.\nAnswer: 160104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -3*a. Suppose a = 4*n - 18. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52179557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - 48. What is the derivative of 10*g - 9 - q + 22 wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 30589*f**2 - 30589*f**2 + 21*f**3.\nAnswer: 21*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -63*j**5\/4 + 128*j**2. Let n(b) = b**2. Calculate n(q(v)).\nAnswer: 893025*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 3:33 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 94 = 2*t - 4*d, 2*d = 2. Suppose 0 = -p - 2 + 12. What is the greatest common factor of p and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15494824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 9) + 13 + 8 + -6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 890, 930, 1032, 1220, 1518, 1950?\n\"Answer: 4*k**3 + 7*k**2 - 9*k + 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 3504\nAnswer: 1\/1752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/66 and -41\/4356.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -124, 0.4, -1 in descending order.\nAnswer: 4, 0.4, -1, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 + -74. Let r = -71.5 - -71. Which is the third biggest value? (a) -10 (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/19))**(-5\/7)\/(m*m**(6\/19)*m**(-1\/4)) assuming m is positive.\nAnswer: m**(-607\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(1300) + sqrt(1300) + -4 + 5 + sqrt(1300).\nAnswer: -4 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203 less than 224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, -179, -770, -2055, -4298?\n\"Answer: -44*c**3 + 49*c**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3237, 13395, 30461, 54429, 85293?\nAnswer: 123047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 338972933851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7359 + 19712. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 779089*a**2. Let h(m) = 2*m. Determine h(i(p)).\nAnswer: 1558178*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/82 or -342?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4048359571?\nAnswer: 43, 139, 677323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c - a?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 38*i + 309. Calculate s(5).\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = w - 5. What is the common denominator of (4 + (-833)\/308)\/((-3)\/6) and 4\/6*207\/w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 + -20. Let h = -38.3 + n. Let p = 152 - 153. Which is the closest to p? (a) h (b) 5 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v - 30. Let q be j(-8). Solve -7 + q = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -852*y*z**5 - 420*y + 3*z wrt z?\nAnswer: -17040*y*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 200, -1, 4, -2, 19 in descending order.\nAnswer: 200, 19, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16634 - 0?\nAnswer: 16634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99627 = -657*s + 135105 for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(700)*-2.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 66\/85 and -83\/34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - -2 - 2) + (332 - -20) + -337?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in 11, -0.5, -9\/2, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 86404*w\/3 + 37799840\/3.\nAnswer: 2*(w - 42760)*(w - 442)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 + (-2043065)\/(-85) + 30\/(-510) a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 + 415*u**4 + 44871*u**3 + 374129*u**2 + 329672*u.\nAnswer: u*(u + 1)*(u + 8)*(u + 203)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 34 = -5*s, 0 = -3*j - j + 3*s + 51. Suppose -5*q = 10, j = p - q + 2. Suppose -5*u = -3*w + 88, p*w + 2*u = w + 152. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 4*i + 19. Let p be f(6). Let s(y) = 0*y**3 + 16*y - p*y - 12*y**2 - y**3 + 9 + 4*y. Calculate the least common multiple of s(-13) and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 7 = 5*x, 4*c - 11 = 4*x + 9. Let m = 16 + -22. Let q be (-44)\/m*(x - -6). Solve -3*a - q = -7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 165735363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 e when four letters picked without replacement from eyedeyyee?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -394*o + 43. Suppose 0 = -6*f - 585 + 531. Is k(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016057 to six dps.\nAnswer: 0.000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7366, 3961, -1700, -9611, -19766, -32159, -46784?\n\"Answer: u**3 - 1134*u**2 - 10*u + 8509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -318272, -318436, -318600, -318764, -318928?\nAnswer: -319092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = 53*d + 3080 - 965 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -569, -1130, -1685, -2228, -2753, -3254, -3725?\nAnswer: -4160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 + -142. Suppose 0 = 2*x - 1 + 11. Suppose o = -o + 12. Put o, x, p in descending order.\nAnswer: o, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -79, -126, -187, -268, -375, -514, -691, -912?\n\"Answer: -t**3 - t**2 - 37*t - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**2 - 2*t + 13. Let l(h) = -6*h**2 + 10. Calculate 5*l(u) - 4*v(u).\nAnswer: -6*u**2 + 8*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3528*n*u**3 + 10*n*u**2 + 3*n*u - 3*n - 118*u - 10 wrt u?\nAnswer: -21168*n*u + 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32323 is divided by 5372.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:11 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -5\/3*j**3 + 1\/4*j**4 - 2*j - 1 + 1\/2*j**2. Suppose -2*s - l + 12 = 0, 2 = -0*l + l. What is u(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -641, -13288, -49935, -122582, -243229, -423876, -676523?\nAnswer: -1013170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**6\/70 - 3*r**5\/35 + 2*r + 64. Determine b so that q(b) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m - 2909920634 + 2909920634.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65*36\/(-60))\/3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3, -1\/4, 2, 25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - ((-45 - 63) + 70)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11563838 is divided by 1211.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 157227935?\nAnswer: 157227935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 726*j**4 + 154*j**3 + 77*j - 1507. Let p(m) = -28*m**4 - 6*m**3 - 3*m + 58. Let l(u) = 77*p(u) + 3*w(u). Differentiate l(x) with respect to x.\nAnswer: 88*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(-2 - i + 2) - 21762*i - 21766*i + 43529*i - 100 in the form j*i + g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 1\/6*z**3 + 3\/4*z**2 + z + 3. Factor s(b).\nAnswer: (b + 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*54\/(-36)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2546*v - 1231*v = 1249*v + 2904 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 3, -684561 in descending order.\nAnswer: 6, 5, 3, -684561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 6 = -8*r. Let o be 7\/4 + r\/(-12). Suppose 0*t - 4*j + 106 = 3*t, -o*t = 2*j - 68. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2954387051077+131\nAnswer: 2954387051208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 210 (b) 2 (c) -0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000069384 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45043?\nAnswer: 31, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/161? (a) -5 (b) -2\/3 (c) 2 (d) 0.04 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 6*w + 2. Let n be m(-5). Suppose -192 + 801 = n*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-250)\/25 - (-72)\/(-9)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*u = -q + 402*u - 23, 0 = u + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 3*n**2 - 4*n + 2. Let u(x) = 3*x**3 - 9*x**2 + 13*x - 5. Let q(s) = -7*p(s) - 2*u(s). What is the least common multiple of q(3) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, q: 2, z: 2, h: 1, f: 1}. What is prob of picking 1 q and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2696328 divided by 114?\nAnswer: -23652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -507, -1014, -1521, -2028?\nAnswer: -2535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 1 + 5944050*p**2 - 3*p - 5944179*p**2 - 1.\nAnswer: -129*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.19 - 0.09. Which is bigger: t or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 2 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -570680740714161831 - -570680738134330882.09999687. Let l = 2579830896 + v. Let a = l - -52.9. What is a rounded to 7 dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -206.86 to 0 decimal places.\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**2 - 34*f - 30. What is the units digit of z(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b - 794*b**2 - 32*b**2 + 6*b.\nAnswer: -826*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 0 - (-3 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Let u(v) = -2 + 5*v**2 - w*v**2 + 2. Let x(c) = -6*c**2. Calculate u(x(p)).\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 + -456514?\nAnswer: -456514.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28763134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -15. Let s = -1 - -3. Let p(d) = -d**s - t*d + 2*d. Let v(f) = 3*f. Determine p(v(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 minus -63?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -183\/2, -3, 115, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 5*z**8\/168 + 58*z**7\/1155 - 37*z**6\/660 - 14*z**5\/165 + z**4\/11 + 887*z**2. Let w(r) = 0. What is r?\nAnswer: -1, 0, 2\/5, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -12*o. Let n(m) = 0*m**2 + 0*m**2 + 2*m**2. Determine a(n(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786*l - 104*l + 5617 - 29487 = 0 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.678974 rounded to three decimal places?\nAnswer: 3.679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 247 = -f - 0*p, -5*p + 992 = 4*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 254, -0.2, 3?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34809, -69681, -104615, -139605, -174645, -209729, -244851, -280005?\n\"Answer: a**3 - 37*a**2 - 34768*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 10410924?\nAnswer: 20821848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -4*p - 12, -w + 19*p - 5 = 22*p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19492 - 12380. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) 3 (c) -2 (d) -0.6 (e) 2\/103 (f) -136\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 - 14*p**3 + 10*p**2 + 14*p - 12.\nAnswer: 2*(p - 6)*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-5))*q)\/q**(-1\/4))**14\/(((q*((q*q**(-7))\/q)\/q)\/(q\/(q\/(q*q**0))))\/(q**(-1)*q**1)) assuming q is positive.\nAnswer: q**(-89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1311 - -14422\/11. Sort d, 1, -5 in increasing order.\nAnswer: -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q**2 + 77*q + 79. Determine n(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -6*66\/(-4) + -4. Let 39*w**5 + 0*w**2 + 180*w**4 + 68*w**2 - h*w**5 + 8*w - 8 + 4*w - 196*w**3 = 0. What is w?\nAnswer: -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4.1, 3.\nAnswer: 0, 3, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 700, 1398, 2096?\n\"Answer: 698*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(104)\/sqrt(2) + -2 - (sqrt(1872) + 2 + -2*sqrt(117)))**2.\nAnswer: -976 - 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + (10 - 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 914567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4043224447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from echhehhgeh. Give prob of picking 1 g and 1 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c - 15. Let m be z(6). Suppose -m*x + 163 + 722 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -96, -157, -218?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxuuuuqsuxuuu. What is prob of sequence qxq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-2 + sqrt(143))*3)\/(sqrt(99)\/(sqrt(27)\/sqrt(3))) + -2.\nAnswer: -3*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10*4\/20*5\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5221 + 4232 = -34*d + 12781. Solve -59*n + d = 51 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 2*j**2 - 33*j + 39. Is g(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 148068 and 144412.\nAnswer: 11697372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 157*c**7\/70 + c**6\/40 - 839*c**5\/30 + 131*c**2 - 2*c + 3. What is the third derivative of b(f) wrt f?\nAnswer: 11304*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (-9 - 23) + 14\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 11*x**2 + 35*x + 27. Let n(w) = 2*w + 0 + 4*w**2 + 9 + 10*w. Let r(j) = 3*d(j) - 8*n(j). Let u(k) = -k - 1. Calculate 2*r(z) + 18*u(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 2*u**2 + 3*u)*(2587*u - 2587*u - 193*u**2).\nAnswer: 386*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -596 - 29a368?\nAnswer: -29a953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38739 is divided by 959?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002607098 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-10)*(-80)\/(-32).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - j - 173 = -0*y, -3*y - 121 = -j. What is the least common multiple of (18\/(-4))\/(63\/y) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 + 1. Let d be 14\/(-105) - 742\/2385. Which is the closest to g? (a) d (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/3 (b) 2\/23 (c) 6.359\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 - (-168)\/(-9). Let q = k + 33. Suppose -i - 2 = -q. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b + 8. What is the third derivative of n**2 + 2*n**b + 6*n**4 - 4*n**2 - 2*n**2 wrt n?\nAnswer: 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + (-252)\/(-10) - 40\/(-50) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5))**(4\/37))**(-2\/107)*(x\/(x\/(x*x*x**1\/x*x*x))*x*x*x**(-1))**(-5\/9) assuming x is positive.\nAnswer: x**(-494731\/178155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 40150*i**2 - 80320*i.\nAnswer: 5*i*(i - 2)*(i + 8032)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10592450969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**6\/10 - 3*d**5\/10 + 3*d**4\/4 + 4*d**3 + 6*d**2 + 476*d. Determine m so that c(m) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6324 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113730?\nAnswer: 2, 3, 5, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 517291187+-0.05002\nAnswer: 517291186.94998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 9. Let a = 2 + o. Suppose 47*i - 26*i - 255 = -30*i. Sort 11, i, a in descending order.\nAnswer: 11, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 727*p**6\/15 + 866*p**2 + 3*p + 11. What is the derivative of a(c) wrt c?\nAnswer: 5816*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40644 rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14100 - 52113659\/3696. Calculate the common denominator of s and 23\/2464.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/18 + 5916\/108. Let k(l) = 119*l - v*l - 58*l. Calculate k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = l - 19, b - 1 = -539*l + 544*l for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) 15.5 (c) -2\/7 (d) -31\/5 (e) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637570 is divided by 212518.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**3 + 113076*t**2 + 7934920*t = 0.\nAnswer: -70, 0, 28339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 902032 <= 901965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 34956 = -10036. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 199*y**4 - 2455*y**4 + 1964*y**2 + 352*y**2 - 614*y**4 wrt y.\nAnswer: -68880*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 101 = -5*h + 80, 2*m - 5*h - 26 = 0 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**2 - 18365 + 18365. Let l(y) be the first derivative of -y**6\/180 - y**3\/3 - 1. Let s(k) be the third derivative of l(k). Determine s(g(w)).\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9252560 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 159672 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-5)*g))\/g*g*g*g**(-6))\/((g\/g**(-8)*g)\/((g\/g**4)\/g)) assuming g is positive.\nAnswer: g**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -3, -16584, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*g**2*l**3*p**3 - g**2*p**3 + g*l**2*p**2 - 2*g*l*p**3 - 12*l**3 wrt g?\nAnswer: 38*l**3*p**3 - 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -141224531 (base 7) in base 9?\nAnswer: -18306812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10965069 and 13563?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d + 2*d - 3*d)*(709 - 286 - 4*d - 380) to the form u*d + m*d**2 + i and give u.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 8 = 3*w, 11*s = 13*s - 2*w - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440776 is divided by 543?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 244, 933, 2092, 3727, 5844, 8449, 11548?\n\"Answer: o**3 + 229*o**2 - 5*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-39)\/(-9)*1*45. Let o = -126 + d. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31471 in 2, 4, -3, -3.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-206)\/(-14) + (-33)\/((-11088)\/(-240))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 2*f - 14. Let l be c(3). What is the tens digit of l*6\/(-15) - 754\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*q = 201, -4*q - 193 - 35 = -2*f. Calculate the highest common divisor of 24 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47159, 49187, 51207, 53219, 55223, 57219, 59207?\n\"Answer: -4*s**2 + 2040*s + 45123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k - k + 4*k)*(-1 - 1 + 5)*(242 - 104*k - 242) to the form h*k**2 + x*k + q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -611 - 2*g**2 + 611 - 10*g**3 - g**3 - 2*g**3 + 2*g**3 + 0*g**2 + 2*g**3 + 0*g**2 + (-3*g**3 + 3*g**3 - 2*g**3)*(-1 - 1 + 0) + 2*g**3 + 0*g**3 - 3*g**3.\nAnswer: -6*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*h**2*t - 74*h**2 + 9*t - 28 wrt h?\nAnswer: 66*h*t - 148*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -17*s + 28. Let b(g) = 5*g - 8. Let i(c) = 14*b(c) + 4*k(c). Let h(v) = -3 + 11*v**2 + 3. Calculate i(h(a)).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -526 by 3430.\nAnswer: -263\/1715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, -1\/2, -0.3, 2, 2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -11*r**2 - 288*r - 11. Let q(f) = -2*f**2 - 48*f - 1. Let c(a) = 6*q(a) - v(a). Let p(g) = 110*g**2. Give c(p(u)).\nAnswer: -12100*u**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015078126 rounded to 5 dps?\nAnswer: -0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11090.\nAnswer: 2, 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v + 17 + 12 + 11 - 38.\nAnswer: -13*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-208)\/(-24))*4\/64.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4092 divided by 4?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4181\/2 + 2091. Determine s, given that x*s**5 + 0 - 1\/2*s**2 - 1\/2*s**3 + 0*s + 1\/2*s**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*i - 61965 - 67395. Calculate the highest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110508 + 25527400\/231. Find the common denominator of c and -145\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140.58972 months to years.\nAnswer: 11.71581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -243021037, -486042073, -729063109, -972084145?\n\"Answer: -243021036*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(18)\/sqrt(2)) + 4 + sqrt(42)\/(sqrt(216)*2 + sqrt(216) - sqrt(216)).\nAnswer: 13*sqrt(7)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.079644365 to one dp.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + 7 + (0 - 1) - 2. Suppose 0 = 2*o - 9 - 1. Put p, 2, o in descending order.\nAnswer: o, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608\/(-14) - (-50490)\/7854.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1643 by -16692.\nAnswer: 1643\/16692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -34. Suppose 3*k + 3 = 4*j, 5*k = 3*j + j - 5. Put 0, k, q in ascending order.\nAnswer: k, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 7 + -18 + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3499*v**2 - 1913*v**2 + 5354*v**2 + 6676*v**2.\nAnswer: 13616*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 + -81. Solve -r - 7 = -2*y, 2*y - 19 = 5*r - n*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 46551.54ng?\nAnswer: 0.00004655154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -0.4, -1\/687 in ascending order.\nAnswer: -0.4, -1\/687, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 216\/12*(-2)\/(-9). Let v = -29 - -44. Suppose 8*r = 3*r + v. Solve -5*c + r*o = 2, k*c + 4*o - 20 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 6*q**4\/11 + 2*q**3\/11 - 6*q**2\/11 - 2*q\/11 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3190.5 * 1.4.\nAnswer: -4466.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -5*i - 36, -66*i + 4*z + 36 = 7*i - 11*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47086 at least 47098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from ihhiiiiiiiiiiiiiih?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 1:43 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2108\/333 + -70\/37. Let u be 1\/(2\/(-689)) - -2. Let n = -1036\/3 - u. What is the common denominator of d and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 0*p - 5*p - 2084 + p.\nAnswer: -5*p - 2084","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2035\nAnswer: -2\/2035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 307817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*k**2*w + 397*c**2*k**2 + 9401281*c**2*k*w - c**2*w + 1203*c*k**2*w wrt k?\nAnswer: 4*c**2*w + 794*c**2 + 2406*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158 + 422. Let i = 58 + z. Find the third derivative of -341*v**3 - 2 + 2 + 12*v**2 + i*v**3 wrt v.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 10*v - 17. Let h be q(7). Suppose h*z + w - 4 = -w, -4*z - w + 4 = 0. Is z\/(-1*5\/(-2425)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2*(-4)\/(24\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -3 - 2\/5*n**5 - n**2 - 2*n**3 + 0*n - 3\/2*n**4. Solve t(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*m + 4 + 56 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34439581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 5*o**5\/4 + 65*o**4\/12 + 10*o**3\/3 - 10*o**2 - 6*o. Solve t(a) = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88435\/22 - 4021. Find the common denominator of g and -59\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030 (base 7) to base 9.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 125*i + 1508. What is j(-13)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 33*t - 8. Let n(h) = -h**2 - 36*h + 7. Let a(g) = 9*j(g) + 8*n(g). Give a(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {u: 2, t: 2, g: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*i + 135, 3*i - q = q + 79. Suppose 2292 = 21*k - i*k. Let y be 12\/30 - k\/5. What is y rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*z**3 + 86*z**3 - 343*z**3.\nAnswer: -384*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1297 divided by -21\nAnswer: -1297\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - ((-24 - -18 - 87) + -36).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13264532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + ((-3*sqrt(605)*-1)\/sqrt(11))\/(3*sqrt(55)\/(sqrt(5) + sqrt(15)\/sqrt(3)))*1)**2.\nAnswer: -12*sqrt(5) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + o + 7 = 0, 5*o = 9*o - 4. What is the smallest common multiple of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 - 10601*q\/4 - 3533\/2.\nAnswer: -(q + 3533)*(3*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 3:16 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 5274 + 15017 - 4872 - 4871.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167*q + 4*q**2 - 79*q - 86*q to s + x*q + n*q**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 42, 54, 60, 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**2 + 5*c - 3. Let b(j) = 11*j**2 + 11*j - 7. Determine 6*b(p) - 13*q(p).\nAnswer: p**2 + p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/11, 3, 5\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2997 by -111.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3693 = 139*f - 143*f, 0 = 4*f + 3*n - 3705. List the prime factors of f.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:12 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkn when three letters picked without replacement from nkgknnknn.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a hour?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 105*a = 768 + 244 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 1:52 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5664, 6643, 7622, 8601, 9580, 10559?\n\"Answer: 979*k + 4685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 130. Let t be 16\/q - 824\/(-7). Let h = t + -74. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -m + 28, -p - 4*m - 3 = 11. What is the tens digit of (622\/13 - p\/39) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*a + 160*a - 2*u + 30 = 0, -3*a - 6*u + u = -18 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 k when three letters picked without replacement from urrrkrrrrukrrrgprr?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3 = 1. Let t be (-5)\/3 + u + 3. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31462 + 31461.8. Is c at least as big as -1\/5447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7db42 (base 15) to base 14.\nAnswer: -a60b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*l = 68*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/7, 987, 9925 in increasing order.\nAnswer: 2\/7, 1, 987, 9925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.7636 plus 2?\nAnswer: -22.7636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38.021 + -10.331. Which is the second smallest value? (a) g (b) -0.5 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 897839 to the nearest integer?\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*t - 128 = -31, -3*q + 4*t = -293. Let z be (-2)\/(-11) - (-873)\/q. Let p be (3\/9 + 0)*z. Solve -9 - p = l - 5*b, 0 = -2*l + 4*b - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/9)\/((-2)\/(-12)). Let p = 8 - g. Let q = 100\/17 - p. What is the second biggest value in -0.4, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d9e949 + -1?\nAnswer: -1d9e94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 98*j + 25 = 93*j, -5*i = -3*j - 21. Suppose -4 = 2*b + 3*v + 5, -4*v - 17 = b. Suppose 0 = z + b*z. Solve z*a = -a - i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n + 96. Let s be a(-13). Suppose 5*p = -5 + 15. Suppose -p*h = -s*u - 105, -181 = -2*h + 2*u - 61. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74162*q + 5049 = 74063*q for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*o + 15*o - 170*o.\nAnswer: 54*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 27*a + 6270 = 0. Calculate the highest common factor of a and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.71 + 100.71. Let m = c + 55. Let w = m - 155.00000149. What is w rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 50, 0.03 in descending order.\nAnswer: 50, 0.1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 149*v**2 + 731*v + 484. Give q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8734)\/35000 - 4\/(-16). Let p = u - -23123\/4375. What is the common denominator of p and 29\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (7 + -2 - 8) - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4162 + 891*m - 4162 + 8321)*(0*m**2 + 0*m**2 + 4*m**2).\nAnswer: 3564*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22 (b) 2\/4649 (c) 1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56613257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 113 = 16*t, -5*t - 363*y - 52 = -359*y for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h**2 + h**2 - 5 + 2)*(-98*h - 158*h + 76*h + (0 + 1 - 3)*(3*h + h - 6*h)).\nAnswer: -2464*h**3 + 528*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2732.6 + 2733. Let q(h) = -6*h**2 + 2*h - 1. Let a be q(1). Let x = -0.07 - 0.03. What is the biggest value in x, i, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**2 + 6*a + 1. Let q(d) = -7*d + 1 - 12*d + 20*d. Determine 4*q(b) - t(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29359509 * -17.\nAnswer: 499111653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4 = -2*c + 33, 3*c + a = 11. Suppose c*x - 1 = x. Let i(q) = -q**2 + 2*q - 1. Let u be i(x). Solve u = -o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 4324434?\nAnswer: -4324440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -14\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/5 and -123\/700.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86610 and 14040?\nAnswer: 40533480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 86314 at most as big as 156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 6*t**2 - 150*t + 1921. Determine l(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12365, -24719, -37057, -49373, -61661, -73915, -86129, -98297?\n\"Answer: y**3 + 2*y**2 - 12367*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 967 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*f - 14. Let s = 21 + f. Solve 2*v - 3*k = -s, -4*k + 16 = -0*v - 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4703 (b) 2\/3 (c) 4\/9 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 + 110. Suppose -t*a + 21 = -2*a. Let x be (-14)\/7 + -2 + a. Solve 0 = -5*r - f - 11, -2*r - 3*f = x*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-22 - -14) + -14)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 235487530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = x - 11*x. Let z(c) = c**2 - 5*c. Let k(j) = j**2 - 2*j. Calculate x*z(o) - 5*k(o).\nAnswer: -2*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2442\/(-9620) - 4\/(-26).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/2)\/(-3 + 1). Suppose -b - 14 = -r*b. Let m(h) = -12*h + 8*h + 2*h**2 + h**2 + 4 + h**2. Let q(t) = t**2 - t + 1. Give b*q(n) + 3*m(n).\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 6, -1, -50884 in increasing order.\nAnswer: -50884, -4, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1520672 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-13)\/(-3))\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(130)*-2 + sqrt(130)))\/sqrt(5))\/((sqrt(154)\/sqrt(275))\/sqrt(7)) + -1.\nAnswer: -1 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 16*n**2 - 44*n - 3. Let h(o) = 2*o. What is h(z(x))?\nAnswer: 32*x**2 - 88*x - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + ((sqrt(468) + 2*sqrt(468) + sqrt(468))*5 - sqrt(468) - (sqrt(468) + (5*(-3 + sqrt(468) + sqrt(468)))**2)).\nAnswer: -47032 + 1908*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 455035454 + 5?\nAnswer: 455035503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*f - 32 = f, 4*f + 8 = -b. Find i, given that -28 - i**2 + 41*i - 23*i + b*i**2 - 5*i**2 = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33068940, -66137884, -99206828, -132275772, -165344716, -198413660?\n\"Answer: -33068944*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**3\/3 - 5*p**2\/2 + 10*p - 17. Let z be m(-6). Let x be 2 - (2*-2 - -1). Solve 3*k - k = -z*u, x*u + 26 = 4*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(1680\/(-2915)) + 48\/6 and -41\/140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 8:31 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201*a**2 + 190*a + 143*a - 715*a**3 + 710*a**3 wrt a.\nAnswer: -30*a + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/5 of a hour?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 734826 and 5136?\nAnswer: 629011056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4)*h)\/(h**(-4\/7)\/h))**21\/((h**(-4\/11)\/h*h)\/h**(-8))**(1\/16) assuming h is positive.\nAnswer: h**(531\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -0.7089082.\nAnswer: 0.2089082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 7 = 2*k - 12, 0 = 4*k - 5*t - 53. Suppose 0 = 4*j - 7 - k. Solve 34 = 5*r - 4*f - j, r - 5*f = 29 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -5 (c) -61 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -225*(4\/(-48) + 3\/(-12)). Suppose -8*z = -13*z - a. Let g be 1 - (z\/12 + 21\/(-28)). Solve 2*x = 6, -4*w + g*w = 4*x - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 + 742*a**3 - 140568*a**2 + 1082650*a - 942823.\nAnswer: -(a - 367)**2*(a - 7)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*v - 42*v = -3*g + 35*v + 37*v + 10, 0 = -3*v + 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34133198 and 603700.\nAnswer: 1706659900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-3\/2)*y**(-1)*(y**2*y)**(27\/4) assuming y is positive.\nAnswer: y**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u = 43*u + 27*u + 570 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 - 5*n + 5. Suppose -2*r + w - 30 = 6*w, -4*r - 40 = 5*w. Let z(b) be the first derivative of b**3 - 2*b**2 + 4*b - 552. Give r*z(u) + 4*h(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-0.0266996075\nAnswer: -0.3266996075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(325)*-4 + sqrt(325) + 0 + -3)*1)**2.\nAnswer: 90*sqrt(13) + 2934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*a - 15, -26 = -y + 5*a - 3. Suppose k = -2*x + 67, 2*k + k = 5*x - 195. Let w = x + -20. Solve 1 = -y*q + w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2278 and 268?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01606 - 0.005147. Round x to four dps.\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3533 + -7775. What is the least common multiple of 346 and v\/(-210) - 2\/10?\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 63*c**3 + 34*c**2 - 6*c + 6. Let i(d) = 6*d**3 - 7*d**2 + d - 1. Determine -6*i(w) - u(w).\nAnswer: -99*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 62*j + 0 - 65*j + 0. Let s(y) = 13*y**2. Determine s(q(n)).\nAnswer: 117*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 924 and 588?\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.2, 13, 2\/13, -0.5, 1\/4 in ascending order.\nAnswer: -0.5, 2\/13, 1\/4, 2.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -10. Suppose 2*p + 35 = x. Let r = p - -14. What is the nearest to -0.1 in r, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*sqrt(156)\/(sqrt(1200)*1) + 5 + 3 + sqrt(52) + 2).\nAnswer: 6*sqrt(13) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25\/21 + -355\/1092. Find the common denominator of 1198\/1040 + 2\/(-10) and m.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3838 = 26*d - 7*d. Suppose -3*k + d = 67. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 411a86?\nAnswer: -411a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -315895*k**3*w**3 + 4*k**3*w**2 - 1613*k**3 + 2*k*w**2 - 4*w + 3 wrt w.\nAnswer: -1895370*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 35*b - 101. What is m(32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*((-3)\/(-6) + 0). Suppose 2*i - 6*i + 72 = r. Suppose 2*k = 3*k - i. Calculate the remainder when k is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j = -36*j - 66275. Let l = -22311 - -12849. Let c = l - j. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 8. Let t be o(-7). Let d be (-4)\/t + 376\/(-24). Let f = d + 65. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6060?\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 5. Let k be -10*(f\/4 + 0). Solve -4*m = m + k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 112940, 112937, 112932, 112925, 112916?\n\"Answer: -r**2 + 112941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(1\/2)*w))**(-35)*(w*(w**(2\/11)\/w*w)\/w)\/w**(-1\/2) assuming w is positive.\nAnswer: w**(200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + 2 - (-2 + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384\/120 - (2 - 1) - 3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342294 and 356.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 871 = 15*n - 524. Suppose n = 5*c + 3*i, c - 2*c = -3*i - 15. Calculate the remainder when c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1147, 9312, 31471, 74620, 145755, 251872, 399967?\nAnswer: 597036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 618768 by 18.\nAnswer: 34376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10 and -11980595.\nAnswer: -11980605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-37615)\/10*(12\/(-1))\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 8*j**2 - 5. Let v be s(-8). Which is the nearest to v? (a) -1 (b) 2\/9 (c) -3\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 308326500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1245688, -1245700, -1245708, -1245712, -1245712, -1245708, -1245700?\nAnswer: -1245688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y - 50*y + 11*y to the form h + j*y and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 + 2.01. Let w = -6196 - -6195. What is the nearest to r in -4, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 159*x**2 - 317*x - 437. Determine g(-157).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -7*w**3\/3 - w**2 + w - 153. Calculate g(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*s - 146 = 0, -2*s - 118 = -m - 4*s. What is the highest common divisor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 = -t + 21, -5*t - 4*r = 12. Suppose n + 12 = -t. Let l = n - -96. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -738, -679, -606, -513, -394, -243, -54, 179?\n\"Answer: i**3 + i**2 + 49*i - 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Add -12184346309606 and -0.3.\nAnswer: -12184346309606.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ced (base 15) in base 6?\nAnswer: 255141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m + 175 = 0. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174 - 165. What is the remainder when (-7)\/42 - (-278)\/12 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 17 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 2, m: 2, i: 2, u: 4, s: 1}. What is prob of sequence ibu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - c + 1. Let n be d(1). Factor -3\/4*g**3 + 0*g + 1\/4*g**4 + 0 + 1\/2*g**n.\nAnswer: g**2*(g - 2)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -5, 52, 10, -369 in ascending order.\nAnswer: -369, -5, -3, 5, 10, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 m when four letters picked without replacement from mmmfmfmmmfm.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -368.5 - -6.5. Let h = -521.5 - u. Round h to the nearest integer.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2120 and 26611830?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 22 = -5*i, 2*s + s = 2*i - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40.36343 + -41.0734218. Let i = 0.039 - 0.749. Let r = q - i. What is r rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*sqrt(2548) + 4)**2.\nAnswer: -252*sqrt(13) + 22941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.041 * -6.\nAnswer: -0.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -14151820, -7\/2 in increasing order.\nAnswer: -14151820, -7\/2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*z + 4*z + 21, 3*z + 9 = 2*l. Suppose -l*m = 46 - 172. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/9 (b) 0.5 (c) 22 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 9*z**2 - 11*z - 19. Let k be n(-8). Let j = -2 + 5. Solve -v - k = v - j*l, 0 = -2*v + 5*l - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/(-4))\/(567\/108))\/((-22)\/(-14))\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24128 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: Suppose 5*o = d + 5, -7*d + 2*d - 2*o = -29. Suppose -d = -5*y - 3*t, 9*t = y + 4*t - 1. What is the units digit of -1 + 5 + -1 + y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpewb. Give prob of picking 1 d and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) -2\/11 (c) -1\/266 (d) -10 (e) -0.3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -2397\nAnswer: -4\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 32*z**2 - 47*z - 357. What is the thousands digit of a(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 6*d - 2 + 8 - 6*d - 11*d**2 as t + k*d + p*d**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -32, -46, -60?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -73. Suppose 0 = 2*q + 10 - i. Let l = 7 - 5. What is the least common multiple of q and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 25 + 295 = 0. Suppose u = 7*j - j. Solve -j = -5*t - 0*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*w - 0*w - 150, 123 = 3*w + 5*q. Suppose -20 = 3*k - 143. Suppose 300 = -k*h + w*h. What is the highest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 6:27 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2645 (b) -1\/7 (c) 2\/11 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(1000)*-2) + sqrt(550)\/sqrt(2) + -3)**2.\nAnswer: -297*sqrt(11)\/10 + 111411\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z**2 + 2*z**2 + 6*z**2 + (z - 3*z - 2*z)*(1 - 1 - z) + (4 + 6 - 6)*(z**2 + z**2 - z**2) to the form v + k*z**2 + a*z and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-7 - -2) - (-15 - 4)) + 90.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*k - 424*m + 425*m, m = k - 5 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aavvaaavavavvavvvva. What is prob of picking 3 a and 1 v?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3)**28)**39*((a\/a**(-1\/2)*a)**(-1))**(-10) assuming a is positive.\nAnswer: a**3301","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7571708651 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 393013 to the power of 1\/2, to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 108019839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-32))\/((-2)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -630311*-0.01.\nAnswer: 6303.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(2\/3)*i*i)))**(-33)\/(i\/(i\/((i**0*i)\/i)))**(16\/5)*((i**1)**(-16\/7))**(2\/19) assuming i is positive.\nAnswer: i**(-11736\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42455806 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 11*s**2 - 21*s + 2. What is r(-9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p = -5*k + 2335, 0 = -3*p + 2*k + 1734. Does 78 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 0*w = 5*w - 3, 1 = 2*v - 5*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10924620.\nAnswer: 2, 3, 5, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 145 = -65. Suppose z*x - 4170 = -15*x. What is x rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**2 - 3*i - 1. Let l be o(-1). Sort l, -5, 3, -1 in decreasing order.\nAnswer: 3, -1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 + (-1 - 0 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -3, 3, -17\/6, -4 in ascending order.\nAnswer: -4, -3, -17\/6, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -b693 (base 14) in base 4?\nAnswer: -13230001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5 + 0 - 4 + 6*x**3. Suppose 2*t - 8 = -2*t. Is r(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 1151*n**2 + 25 - 1152*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7825430*y + 7825430*y - 2*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-265)\/(-35) + 3\/7. Let p = 913\/117 + 5\/117. Which is bigger: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2. Let b(h) = 7*h**2. Give k(b(u)).\nAnswer: -98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7075, -7074, -7073?\nAnswer: -7072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166*z**4 - 178*z**3 + 151*z**2 - 10416436*z wrt z.\nAnswer: 1992*z**2 - 1068*z + 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1, -4, -0.4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9215 and 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 4 - 5)*(3 - 3 + 2) + 3 + 0 + 2)*(0*z + 0*z + 2*z) to n*z + h and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.538 + -58.762. Let t = 59 + b. Sort -3\/7, t, -7 in descending order.\nAnswer: t, -3\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 382743*h**3 - 1160352*h wrt h.\nAnswer: 2296458*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 4*v - v)*(4 - v**3 - 4) - v**4 + 4*v - 3*v - v**4.\nAnswer: -v**4 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = -71577*c + 71591*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/13 (b) -0.25 (c) -0.3 (d) -19.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/45 - ((-87)\/(-27) + -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -44250 and -44250 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(5) + (sqrt(5) - sqrt(30)\/(sqrt(24)\/sqrt(4))) - sqrt(5)) + (sqrt(30) + sqrt(180)\/sqrt(6))\/sqrt(6))**2 + 3) + -2.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*y - 2*y. Calculate the remainder when (-508)\/(-12) + 6\/y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.44 - -0.04. Let i = 5630\/39 - 56339\/390. What is the biggest value in i, o, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from rfrrffr?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1677, 1586, 1349, 894, 149, -958, -2499?\nAnswer: -4546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 1:56 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n + 2*n + 2*n)*(-2504*n - 2468*n + 5462*n) to y*n**2 + f*n + s and give y.\nAnswer: 3920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 10, 1\/63?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 3:41 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + -23. Suppose 5*t + 2*j - 22 = -4, 4*t - x = -5*j. Suppose 4*q = q - 3. Put q, 4, t in decreasing order.\nAnswer: 4, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-3 - (-2 - (-4 + 7) - 5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g - 1. Suppose 2*x - 55 + 59 = 0. Let t be x - -4 - (7 - 2). Calculate u(t).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58584 and 184?\nAnswer: 1347432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29964 or 28374?\nAnswer: 29964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6702.277mg in nanograms?\nAnswer: 6702277000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*o + 2 = 34, -2*i + 12 = o. Find the first derivative of 47*k - 2*k + i + 48*k - 147 wrt k.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13106 by -56544.\nAnswer: 6553\/28272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f**3)**(1\/64) assuming f is positive.\nAnswer: f**(1\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + 7*p**2)*(1 - 1 + p**2) + p**4 + 2*p**4 + 0*p**4.\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3 + 2, 2*i = -5*j - 2. Solve j*y + 3 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d2 (base 15) to base 16\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.135 + -0.929. Let r = n + -4.606. What is r rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32210.54 rounded to the nearest ten?\nAnswer: -32210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20320\/2540*(-1)\/(-8)*-118?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 9*m - 76. Let z be k(-6). Suppose -9*f + z*f + 70 = 5*g, 0 = 5*f + 2*g + 77. Which is the biggest value? (a) 0.01 (b) 3 (c) 2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 322, 723, 1284?\nAnswer: 2005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73\/7 + 74\/7. Suppose -5*m - 32 = -7. Let p = 14567 - 14566.7. Which is the closest to j? (a) -4 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-210)\/(-20))*12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 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 s be ((-16)\/(-12))\/((-186)\/(-31)) + 132\/54. Determine z so that -14 - s*z + 2\/3*z**2 = 0.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697184104.\nAnswer: 2, 523, 166631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**9\/1512 - g**6\/40 + g**3 + 11*g. Let i(p) be the second derivative of v(p). What is the third derivative of i(o) wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*f - 33, j - 8*f + 9*f = 48. Differentiate -j*u - 31 - 21*u + 31*u wrt u.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3091 - 1776 = -3809*p + 3030 - 279. Suppose k + 4*k = 2*q - 877, 0 = 3*q + 2*k - 1306. What is the lowest common multiple of p and q?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -16*k - 236. Let b be g(-15). What is the second derivative of 101*u**4 + 74*u**3 + 120*u - 74*u**3 - 94*u**b wrt u?\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17492 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddyy when four letters picked without replacement from yyydnuyuywyyuyydyudu?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 6, 3*p - v + 21 = -0*p. Let z(i) = -4*i**2 - 14*i + 14. Let t(y) = 2*y**2 + 7*y - 7. Let l(c) = -5*t(c) - 3*z(c). Calculate l(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 166 and -45.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 38\/(-34) - 70\/595. Solve -66*g + l = -67*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32103330201 (base 4) to base 2.\nAnswer: -1110010011111100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -24*w - w**3 + 7*w - 43 + 18*w**2 - 4*w**2 + 31. What is the tens digit of y(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 1788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -739092 or 0.1?\nAnswer: -739092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(15\/110))\/2*440\/825 + -2.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -606 + 1120. Suppose 2*b + v = 548. What is the remainder when b is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038 plus -0.080224951?\nAnswer: -0.042224951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11354250, 22708512, 34062774, 45417036?\n\"Answer: 11354262*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**6\/24 + y**5\/60 - y**3\/2 - 36*y**2. Let q be s(-2). What is the highest common divisor of q and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.8 - 5.6. What is the nearest to -1 in j, 4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 - 80*i**2 - 76*i + 74. What is u(-39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.059 + -0.041. Let p be (-60)\/16 + (-6)\/(-8). Let j be (-3)\/36 - p\/4. What is the second smallest value in 2, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**8*s))\/(s\/(s*s*s**3)) assuming s is positive.\nAnswer: s**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**(-15)*(a**(-1\/6))**(3\/31) assuming a is positive.\nAnswer: a**(232\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 times 0.9?\nAnswer: 339.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9))**(1\/28)*k**(-3\/14)*k**24*k*k assuming k is positive.\nAnswer: k**(232\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 169*f**5*w - 199789*f**5 - f**2*w + f**2 + 64937*f*w + 8*f + 2*w wrt f?\nAnswer: 10140*f**2*w - 11987340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14 - 18 + 0*r**2 + r**2 + 9 wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -0.1688.\nAnswer: 0.23632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*i**3 - 2*i + 0*i**2 - i**2 - 28*i**3 - 37*i**3 to u*i + x*i**3 + v + n*i**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 473 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -3221?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s - 3. Suppose 2*v = -1 + 9. Let l(g) = -v*g + 5 + 2*g + 1. Calculate 6*c(a) + l(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4781*v. Let s(j) = 7*j. What is s(c(t))?\nAnswer: 33467*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1 + 7*a - 6 + 6*a**2 + a**3 + 2. Let f be b(-6). Is 9 a factor of (24\/10)\/((-3)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + (sqrt(152) + (sqrt(152) - -3*2*sqrt(152)) + sqrt(152) + sqrt(152) + sqrt(152))\/(sqrt(8) + 6*sqrt(288))*4)**2.\nAnswer: 352*sqrt(19)\/37 + 62795\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/3*188\/207928*474?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, a: 2, w: 2}. Give prob of sequence oa.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/36 and 75\/3076.\nAnswer: 27684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 5a?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -436 + 680. Let t = v + -243.98. Which is the third smallest value? (a) t (b) 2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + sqrt(2736)).\nAnswer: 9 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72472285*p**2 + 796906*p?\nAnswer: -144944570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 22*x + 52. Let y be p(10). Let j = y - 25. What is the smallest common multiple of j and 143?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/8 and -41\/1874.\nAnswer: 7496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2819, -8028, -15595, -25514, -37779?\nAnswer: -52384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*m = 53*m + 40. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/298 and -46\/21307.\nAnswer: 42614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-2)*(24\/10)\/(954\/795)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*t - t + 20*t)*(-5 - 4 - 91)*(-4*t + 2*t + 4*t) in the form f*t**2 + c*t + h and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 4:46 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 14. Let l(a) = a - 7. Give 6*j(p) + 11*l(p).\nAnswer: -p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (-54 + 9 - -90).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12461 + 24897\/2. Do p and -12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 + 903796*m**2\/11 + 102104997400*m\/11 - 204213610000\/11.\nAnswer: 2*(m - 2)*(m + 225950)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 465.05 rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 w when four letters picked without replacement from ninwnwnniw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/2 - (13 - -12). Let y = q + 54. What is the highest common divisor of 261 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210915 divided by -42183\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/40809 and -49\/560285.\nAnswer: 374830665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 5*z**2 + 3*z - 2. Let q be w(4). Let r = q - 20. Calculate the remainder when r is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -529\/6 - -88. Let x = 48 + -46. What is the third smallest value in 1, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.56921 - 2.69921. Let i = 0.07 - 0.2. Is x < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.54 and -29.\nAnswer: -26.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*a + 12. Suppose a = -4*v - 45. Let m = -10 - v. Solve -m*n + 24 = l, 0 = -6*n + 2*n + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 5)*(-429 - 15*f + 429).\nAnswer: -45*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12.08499kg?\nAnswer: 12084990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 23 = -3*y, -3*c + 2*y + 0*y = -28. Calculate the common denominator of (3 - 3) + c\/(-16) and (-882)\/40 - 5\/25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 114.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -2*w**3\/3 - 33*w**2 + 509. Factor y(q).\nAnswer: -2*q*(q + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -146070*s**2*y + 3211*s**2 - s - 2*y - 15 wrt y?\nAnswer: -146070*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2350 in -5, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q = 5*l + 14, 10 = -4*l + 2*q. Let h = 0.08 - -4.92. Let d = h + -4.5. What is the closest to -0.2 in d, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51930.6ml to litres.\nAnswer: 51.9306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11214834?\nAnswer: 2, 3, 1869139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(0 - -1)*(-24)\/9. Suppose 2 = -k*v + 130. Solve -4*b + 8 = 3*m + 31, -3*b - 2*m = v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150064231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*s**4 + 2349*s - 2349*s - 35*s**2 + 7*s**2 + 2 wrt s?\nAnswer: 1176*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a factor of 809477053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*l = 9, -8 = 3*p + l - 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 602*n + 603*n - 27 = 0, 3*y - 5*n + 111 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, 0.02, 0.1, -5, 8.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 - i**2 + 2*i**2)*((-3 + 3 - i)*(-5 + 3 + 3) + 37*i + 207 - 207) in the form k*i**3 + n*i**2 + r + b*i and give k.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b - 16*b + 6*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152559 and 12.\nAnswer: 610236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159990?\nAnswer: 2, 3, 5, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5902635?\nAnswer: 3, 5, 19, 139, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(3\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 25*j - 132. What is v(12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*o**2 + 77*o**2 - 135*o**2 to r*o**2 + b*o + w and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -56*a**3 - 5*a**2 - 5*a + 10. Let f(i) = -2745*i**3 - 244*i**2 - 244*i + 488. Determine 5*f(l) - 244*m(l).\nAnswer: -61*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 373573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5875506.\nAnswer: 2, 3, 7, 13, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1631 times 139\nAnswer: 226709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856101629?\nAnswer: 137, 2423, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/20*-1*4. Suppose -5 = -p*m - 1. Suppose -5*q = f - 191, -f - m*q + 3*q = -191. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6443794901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -50928*v - 254623. Give z(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 17)*((0 + 3*s**3 + 0)*(4*s - 5*s + 2*s) - 3*s + s - 3*s**4 + s**4).\nAnswer: 20*s**4 - 40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(175) + sqrt(175) + 1)**2*6*-4*5 + 1.\nAnswer: 57600*sqrt(7) + 515521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 5. Let c be l(-5). Let r be (1 + -1 + c)\/1. Let u = 27 - 23. Solve u*d = -r*g + g - 18, -3*g - 3*d - 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + -17 + 212)\/(2\/26). Calculate the greatest common divisor of 52 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/6 - (-105)\/414. Let m be (-2)\/7 - (-403)\/651. Which is the closest to 1? (a) m (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/((-147)\/(-7))*-2*6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -279, -2191, -4103, -6015, -7927, -9839?\n\"Answer: -1912*f + 1633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2474)\/(-6) - (-6 + 2)\/(-12). Let c = i + -137. Suppose -3*l = 4*v - c, -219 = -3*v - l + 3*l. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*x**2 - 242 + 22*x.\nAnswer: -(x - 22)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 4 (c) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*b**3 + 10*b**3 - 10*b**3 + 5 - 5 - 5*b**3 + (0*b + 0*b - 2*b**2)*(-3*b - 2*b + 4*b) to t*b**3 + n*b**2 + f + o*b and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (398\/(-6567))\/((-8)\/22)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 2\/5, 180.95, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, -7, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 12:31 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3995, 15650, 34941, 61856, 96383, 138510, 188225, 245516?\nAnswer: 310371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 879.6488 millilitres in litres?\nAnswer: 0.8796488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0.0289, -5, -2, -0.2, -32 in ascending order.\nAnswer: -32, -12, -5, -2, -0.2, 0.0289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/2)*(t**(-14)*t*t)\/t*((t**(-9)*t)\/t)\/t*t**(10\/3)\/t assuming t is positive.\nAnswer: t**(-115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**6\/120 - g**5\/20 + g**3\/2 + 9*g**2. Let r(l) = -102*l - 609. Let o be r(-6). Give w(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 7:20 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2412*f + 147 = 3*y + 2413*f, 4*y - 189 = f for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -2917846?\nAnswer: 1167138.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9082918 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*o + 363, 2*l = 7*l - 5. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*f + 6*f + 12*f)*(-2*f + 2*f + 3*f).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let u(h) be the third derivative of -1\/20*h**5 + 0*h**4 + 0*h**3 + 0*h + 0 - 2*h**2. What is u(q(s))?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -12 - (-28 + 28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 12*r + r)*(2*r - r + 0*r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -84*u + 144. Let h(n) = 17*n - 29. Let q(d) = -3*c(d) - 14*h(d). Differentiate q(x) wrt x.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2 - 4. Solve 3*s + 5 = -a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.4 (c) -50 (d) 0.0076 (e) 1 (f) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 7*m + 3. Let s be l(8). What is the remainder when 6 + -9 + 9 - (0 + 1) is divided by 276\/60 + (-2)\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 474085524 and 37020.\nAnswer: 7404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 59 and -2.1.\nAnswer: 56.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggjjj. Give prob of picking 1 g and 1 j.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1209 + 2886.1209. Which is the nearest to 1? (a) y (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*t**2 + 61*d**2*t**2 + 25*d**2 + 3*d*t**2 + 4*d*t + t**2 - 15*t - 5 wrt d?\nAnswer: -6*d*t**2 + 122*t**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*k = 2033, 5*k = 3*o + 6*k - 2023. What is the highest common factor of o and 945?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 60 = -2*k. Suppose 0 = -4*v - 4 + k. Suppose 3*h - 4*h + 105 = 5*r, -4*r + 5*h = -113. Calculate the highest common divisor of v and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1 = q, -2*q + 5*k + 3 = 5. Let f be ((3\/(-3))\/1)\/(2\/(-16)). Let d = f + q. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13163 (base 7) to base 3.\nAnswer: 11211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 5*v - 16, v - 4*y + 8 = 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 - 5 = 0. What is the second derivative of -c**5 + 49*c + d*c**4 - 22*c + 13*c wrt c?\nAnswer: -20*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2864 = 5*k - 994, 3*s = -5*k + 2891. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0021856m to millimeters.\nAnswer: 2.1856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 78. Suppose 20*z = 17*z + p. Suppose -5*g - z = -569. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1353*o**3 + 0 - 1752*o + 1752*o.\nAnswer: -1353*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 18 = 7*k + 2*p, 3*p - 22 = 5*k. Put 4, k, -5 in descending order.\nAnswer: 4, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h - 45*h = -11*h - 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -607, -2045, -3455, -4837, -6191, -7517, -8815?\nAnswer: -10085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m - 4*m + 12*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m - 10311 = -9996 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84398\/1893 or 45?\nAnswer: 84398\/1893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 92487*x. Let y(l) = 11*l**2. What is y(g(n))?\nAnswer: 94092296859*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4029 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -131.1.\nAnswer: -1.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = n + 37, 15 = -5*n. Let s = 208 + -197. What is the smallest common multiple of s and f?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 115*n**2 - 3809*n - 29792. Give f(-59).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2196 - 90050\nAnswer: -90049.7804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 39\/7199?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*r + 126 = 21*r. Let i = -5 - -11. Suppose -o = 4, 0 = -2*t + 4*o + 2 - i. Sort t, 3, r in ascending order.\nAnswer: t, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.062 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*c + 2*y, 462*y = -c + 460*y - 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a minute in seconds?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -290*o**3 - 2728*o**2 + 3785659*o wrt o.\nAnswer: -1740*o - 5456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 3834*j**2 - 1287491*j - 1291326.\nAnswer: -(j - 3462)*(j - 373)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 326*r - 321*r - 40 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -21*z - 36. What is the hundreds digit of s(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179783.\nAnswer: 37, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - k**3 - 8*k**3 + 28*k**3 - 1 to p + n*k**2 + s*k**3 + a*k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*j - 224 + 770 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 748, 868, 988, 1108, 1228, 1348?\nAnswer: 1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5585770 divided by -305.\nAnswer: 18314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 3*b**2 - b**5 - 8 + 0*b**2 - 5 + (5*b**2 - 3*b**2 + 0*b**2)*(7*b**3 + 0*b + 0*b).\nAnswer: 13*b**5 - 2*b**3 + 3*b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73399, -146799, -220199?\n\"Answer: -73400*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(120) + sqrt(120) + sqrt(120)*1 + (sqrt(30) - (sqrt(30) - 2*sqrt(30)*-1)))*5)\/((sqrt(480)\/(sqrt(10)*1))\/(sqrt(512)*-2)))**2.\nAnswer: 3200*sqrt(5) + 512025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w**3 - 12*w**2 + 33*w - 36. Is a(4) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*x**3 + 877*x**3 - 28*x**3.\nAnswer: 797*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210 (base 5) to base 7.\nAnswer: -614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2676 (base 14) to base 13\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 129*x + 2457. What is u(-27)?\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.5, 0.1, 0.35, -16.91 in ascending order.\nAnswer: -16.91, -0.5, -0.2, 0.1, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c**2 + c. Let o(n) = -n**3 - 2*n**2 + 3*n. Give 3*a(p) - o(p).\nAnswer: -2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31340 is divided by 15589?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 225032632 divided by 2?\nAnswer: 112516316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 7}. Give prob of sequence ooo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*t**3*x**2 - 46*t**3 + 9*t*x**2 + 701*t*x + x**2 wrt x?\nAnswer: -210*t**3 + 18*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3780)\/432)\/(7\/20)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n - 1. Let k = 342 + -337. Let d(w) = 600*w + 5 - 601*w - k. What is d(f(b))?\nAnswer: 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*p)*(-6 - 19 - 13).\nAnswer: -76*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x + 78 - 124 + 34)*(-2*x - x - 6*x + (-4 + 4 - 1)*(3 - 2*x - 3) + 4*x - x - x) in the form u*x**2 + q + i*x and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w + 0*w)*(-52*w**3 + 13*w**3 - 48*w**3).\nAnswer: -174*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 798867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -57983559 divided by 19327853\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0808 or -0.1047?\nAnswer: -0.1047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 2.8.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13011 (base 6) to base 13\nAnswer: -b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 118, 160, 186, 190, 166, 108, 10?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-11 - -2)) + -10 + 5 + 4 - -46?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1\/4 (c) -1\/2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-697)\/34)\/(-41)*((-4)\/(-14))\/1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1168324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446205?\nAnswer: 3, 5, 151, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 48722.4636953.\nAnswer: -48716.4636953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**2 + 32*p**2 - 74*p**2.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*j + 440 = -2*j, -v = -3*j - 110. Suppose -v = -s - s. Suppose 0 = -2*y + 7*y - s. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2523*a**2 - 1810 - 1298*a**2 - 1222*a**2 to k + f*a + w*a**2 and give k.\nAnswer: -1810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 1652*x**6\/15 + 798*x**2 + 9542*x. Differentiate f(p) wrt p.\nAnswer: 13216*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 14*u**2 - 5*u - 4. Let w(m) = 14*m**2 - 5*m - 4. Let s(b) = 4*v(b) - 3*w(b). Is s(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57930*r + 2*a = -57925*r + 41, -47 = 5*r - 4*a for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 142 - 81*f - 398 + 17*f. Let m be r(-4). Suppose 1 = -a + h, 2*a - 22 = -3*a - 4*h. Solve -q + g + 6 = m, q - a*g = 3*g + 26 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43332198?\nAnswer: 2, 3, 7, 13, 19, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2*w)\/(w*w*(w*w**(-2\/25)\/w)\/w*w))\/(w*w**(2\/15))**(-25) assuming w is positive.\nAnswer: w**(2206\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 5*q + q)*(15 + 26 - 8)*(-2*q + 3*q - 4*q)*(251 - 44 + 33) in the form p*q + u*q**2 + r and give u.\nAnswer: -71280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121554044 to the power of 1\/2, to the nearest integer?\nAnswer: 11025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 241239.\nAnswer: 2412390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Let m(j) = -51*j + 8. Let a(c) = -42*c + 6 - 1 + 8*c. Let w(t) = -368*t - 376. Let q be w(-1). Let i(h) = q*a(h) + 5*m(h). What is i(s(f))?\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 6. Let a be p(6). Suppose -12 = 5*o - f, -2 = -4*o - f - 17. Let g be a\/9 + 1\/o. What is the nearest to g in -1, 1\/3, -1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 1930959.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -25*n**2 + 53*n + 5. Let q(p) = -13*p**2 + 26*p + 3. Let x(u) = 5*q(u) - 3*v(u). What is the second derivative of x(l) wrt l?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = t - q, 2*t = -3*t - 4*q + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13*0.011.\nAnswer: -0.00143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12065 - 12065. Let n be (4\/8)\/((-1)\/(-18)). Let p(k) = -k**2 + 10*k - 4. Let c be p(n). Solve b - 2*b + c = z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/(-3) - (-3)\/9)*(128 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12182 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5296.0000017704 + -5296. Round l to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 2:56 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*r**4 - 1296*r**2 - 1015138*r?\nAnswer: 168*r**2 - 2592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -213*j + 14. Let n be v(10). Let d = n + 3765. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 5:45 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -1 - (-3 - 1). Let v(p) = 7 + 1 - k + 2*p - p**2. Let h(m) = m**2 - 2*m - 3. Let y = -38517 + 38513. What is y*v(b) - 5*h(b)?\nAnswer: -b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -53, -145, -297, -509, -781, -1113?\n\"Answer: -30*u**2 - 2*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, r: 5}. Give prob of picking 2 r and 2 a.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*r - 121*r - 24273 = 137*r for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 22 = 5*q, k + 5 - 1 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = -30*r + 32*r. Suppose 82*y + r = 91*y. Solve -4*x = -38 + y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 484562286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4\/17 - 28*r**3 + 25906*r**2\/17 - 50392*r\/17 + 24960\/17 = 0.\nAnswer: 1, 80, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9148.5 centuries to years.\nAnswer: 914850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(136)*4*-3)\/(sqrt(648)*3))**2.\nAnswer: -40*sqrt(17)\/9 + 2297\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 1\/140*l**5 + 2\/21*l**3 + 5\/84*l**4 + 0*l**2 + 6*l + 5. Factor n(j).\nAnswer: j*(j + 1)*(j + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 326*v - 349*v. Let i(k) = 17*k**2 + 14*k - 3. Let a(u) = -11*u**2 - 9*u + 2. Calculate v*i(m) + 8*a(m).\nAnswer: -3*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexeexeeem. What is prob of picking 1 e and 1 m?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -7*m + 36 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.25 + 0.25. Let h = z + 27. Let g = h + -8.45. What is g rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odgo when four letters picked without replacement from {o: 2, d: 7, g: 2}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 70 = -2*f - 3*f, 4*f = -2*i - 48. Let k = i - -22. Suppose 2*b - k = 0, -3*q - b = -2 - 20. What is the lowest common multiple of q and 43?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -280, -1177, -2672, -4765, -7456?\n\"Answer: -299*y**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Suppose -4*z - 4 = -3*c, 3*z = i*c - 0*c - 3. Suppose -3*m + c*m = -24. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1449)\/49)\/(-69))\/(16\/(-112))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3605513 + 37?\nAnswer: 3605552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/4 and (-1 - 0)*(19\/(-4) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 7. What is g(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 33616*k - 33674*k + 0*k**2 + k**2. Let r(f) = f**2. Calculate j(r(n)).\nAnswer: n**4 - 58*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*w + 2507, 5*b + 4125 = 6*w - 2*w. Let h = 1667 + b. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708715417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - ab74b36?\nAnswer: -ab74b39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325, -650, -977, -1306, -1637?\nAnswer: -1970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - s - 27 = 0, -5*y = -3*s - 8 - 17. Let q = -5 + y. Suppose 2*c - 8 = 6. What is the remainder when c is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 + 6*b**2 + 6 + 5*b**2 - 9*b**2 - b**3 in the form m*b + h*b**2 + g + d*b**3 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*x + 1301*x - 863*x - 668*x.\nAnswer: -557*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1191 = 198*b + 115 + 1070 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -8 + 8 + 2 + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 84 (c) 1 (d) 3 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1594 = -3*w + 1155, 0 = 2*w + t - 1835. List the prime factors of w.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 20*y - 5. Is i(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*o**2 - 20 + 89*o**2 - 219*o**2 + 24.\nAnswer: 2*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 7 + 1 - 8. Let j(w) = -223*w + 5. Is j(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/20*0\/43. Let d(v) be the third derivative of 1\/60*v**5 + 0*v**4 + 0*v + k - 12*v**2 + 0*v**3. Let p(w) = 4*w. Calculate d(p(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/72, -7\/8, 14, -8 in ascending order.\nAnswer: -8, -7\/8, -1\/72, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47.3 - -45.29. Let c = m - -2. Let q = c - -3.01. What is the biggest value in -5, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + 3*f)*(1 + 2*f - 1) - 2*f**2 + 0*f**2 - 3*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by -114.\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 7*v**2 + 21*v - 22. Let w be l(12). Round w to the nearest 10.\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 0*l - 2*l + 2*l - l. Is w(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/12*24\/(-2). Let q = z + -21. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/123442 and 101\/987536.\nAnswer: 987536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*n - 97 = 0, 96 = 3*q - n - 3*n. Let t be (1 - 0)*(q - -2). Let a = t - -49. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 1270639135459*l**3 - l**2 - 1270639135460*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 0.2 (c) 0.3 (d) -3.4 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1790*t**3 + 55*t**2 - 55*t + 110. Let x(v) = -128*v**3 - 4*v**2 + 4*v - 8. Give -55*x(b) - 4*z(b).\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116 is divided by 143.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 3)*(-2*m + 0 + 0)*(-171 + 55 - 61) to s*m + p and give s.\nAnswer: -1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.3, 48\/451?\nAnswer: 48\/451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6313 - 132*n + 6313)*(-3 + n + 3) + n**2 + 5*n**2 - 4*n**2.\nAnswer: -130*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 1, r: 1}. Give prob of sequence re.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 126 = 2*d. Let h = -40 + d. Suppose 0 = -4*g - h*k + 5*k + 1469, -3*g + 3*k = -1098. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 60. Let x(b) = -b. Determine r(x(d)).\nAnswer: d**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -5, -33, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 40*g - 97*g**2 + 396*g**2 + 268*g**2.\nAnswer: 567*g**2 + 40*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 1. Let o = 55\/2 + -27. Which is the biggest value? (a) o (b) -2\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019047 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-180)\/(-27)*6\/5. Suppose 0*a = 4*a - 16. Suppose -a*m - 4*d + s = 0, 4*d + 4 = 2*m - 0*d. Solve -5*j + 22 - m = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611979340 smaller than 2611979340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 659134 times 0.0347\nAnswer: 22871.9498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.489 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 4*i - 3*i)*(3*i + 9*i + 146*i) + (-1 + 1 - 3)*(-5*i**2 + 5 - 5).\nAnswer: 173*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21711, 0, 0.39.\nAnswer: 0, 0.39, 21711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*k - 4. Suppose -4*z = 5*v + 3, 6*v = 2*v - 2*z. Differentiate 0 + 2*u + k - v wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 25 = -7*x. Suppose -21 = -x*z + 2*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -7. Let m(o) = -4*o + 2*o - o**2 - 6*o. What is the units digit of m(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 2, -393, 4, -6, 21 in decreasing order.\nAnswer: 21, 4, 2, -6, -59, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-3)*(-153)\/12. Calculate the greatest common divisor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3074501, 3074496, 3074489, 3074480?\n\"Answer: -x**2 - 2*x + 3074504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 253 = -133. Let d be 137\/4 + 15\/x. Solve -4*i - 14 + 51 = 5*j, 4*j + 5*i = d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gef when three letters picked without replacement from {g: 1, e: 1, h: 1, f: 1, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158116?\nAnswer: 2, 7, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84545 * 21.9.\nAnswer: -1851535.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -0*h + h. Let g = -4 - -5. Let c be 14\/g + 0 + -2. Calculate the greatest common factor of c and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 + -76. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1421 - 6?\nAnswer: -1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*b = -20, -b + 2 + 8 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 267862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26560 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1566156 months to centuries.\nAnswer: 0.000130513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*(-2 + sqrt(1331) + 0 + -3 + sqrt(1331) + sqrt(1331)*-2 + 1))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 2*w = -3*h - 17, 2*w + 1 = h. Let a = -15 + 18. Solve -3*p = a*d - 2*p + 3, h = p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 47. Calculate the remainder when -2 + (88 + -1)\/3 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + -1 - (-4 + -3*sqrt(13))**2.\nAnswer: -134 - 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 25.6541?\nAnswer: 7.69623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 + 728*y - 730 = 0. Calculate y.\nAnswer: -365, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6824*s - s**3 + 5880*s - 2488*s - 1 as t*s**2 + q*s + l + z*s**3 and give q.\nAnswer: 10216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10476 + -411?\nAnswer: -10887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*z - 3)*(z**2 + 8*z - 2*z + 0*z).\nAnswer: 2*z**3 + 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*n - 8097 + 8097 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5 - -3)*0. Let k = 6 + -4. Suppose 0 = -2*p - 5*m + 6, k*p - 4*m = p + 3. Solve -2*x + 5 - p = r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 7*o**5\/5 - 55*o**4\/12 - 2*o**3\/3 + 2*o**2 + 11*o - 22. Let r(m) be the first derivative of g(m). Factor r(x).\nAnswer: (x - 2)*(4*x - 1)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 19, 3, 1 in decreasing order.\nAnswer: 19, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132 + 11?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from {s: 1, a: 3, i: 3, c: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -339574.0917 to the nearest ten.\nAnswer: -339570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*f + 274 = -48, 5*u - 3*f = 847. Which is the biggest value? (a) -0.4 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 22 = 5*p, 0 = 19*z - 15*z + 5*p + 29. Sort 3, 2, z, -8, 4 in ascending order.\nAnswer: -8, z, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.919 + 0.4\nAnswer: 1.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - (-12 + 6)) + (-64 - -38 - -12)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-84)\/(-22) + 8\/44. Suppose -n*r + 2 = -2*r. Solve c + r = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 10*y + 2. Let k = 19 - 29. Let b be t(k). What are the prime factors of (14 - -7) + (-4)\/b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9588801*k*l**2 + 4*l**2 + l + 341745 wrt k?\nAnswer: -9588801*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390611719.\nAnswer: 390611719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + c**2 + 0*c**2 - c**2 + 0*c**2 - 3*c**2 + (-5*c**2 + 4*c**2 - 3*c**2)*(-1 - 5 + 4) + c**2 - 6*c**2 + 3*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -120, -78, -16, 60, 144, 230, 312, 384?\n\"Answer: -d**3 + 16*d**2 + d - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 11:10 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22330 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 14*r - 1. Let f be 5\/15*-3*-7. List the prime factors of c(f).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-12)\/(-16)*(-4)\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 4 - -5) + (2 - 8 - 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (6 - -9) - (10 + 7 + -16)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205195037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:18 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -524 - -525. Suppose -39 - b = -5*f - 2*r, 3*f = 4*r + 24. Solve -z + f*z - 14 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-1\/8)))\/a*a)\/(a\/(a\/a**(-12\/5))) assuming a is positive.\nAnswer: a**(101\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -31, 2, 4, -2 in decreasing order.\nAnswer: 4, 2, -2, -12, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166753232?\nAnswer: 2, 41, 254197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 + (7 - (-1 + -10 + -51 + 60)) + -12?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 + 23*t**2 + 10*t**2.\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.261 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 78346402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 5*w + 1. Let k(j) = 3*j**2 - 25*j - 2987. Determine k(y) + 5*t(y).\nAnswer: -2*y**2 - 2982","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 753 divided by 251?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293831 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-109 - -55) + 96 - 57.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1854 divide 325806576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34033 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*h**2 - 2213*h - 162072 wrt h?\nAnswer: -44*h - 2213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 22*a**2 + 17*a + 86. Let u be n(21). Solve 2*c - 8 = u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-76)\/36 - -2). What is the nearest to m in 0.4, 0.07, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42200319?\nAnswer: 3, 7, 41011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 3*j**2 - 4*j - 29. Let y(c) = -2*c**3 + 5*c**2 + 7*c + 57. Let k(r) = 7*o(r) + 4*y(r). Determine k(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276919573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1686.342 litres?\nAnswer: 1686342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + (5*2*sqrt(143) - sqrt(143)))\/(2*sqrt(11)*-2) + (sqrt(832)*-1 + 4)**2 + -2.\nAnswer: -133*sqrt(13)\/2 + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 52 - (-28)\/(-21)*3. Suppose -6*y + 15*y = 54. What is the highest common divisor of y and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3\/5, -304 in decreasing order.\nAnswer: 1, -3\/5, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*i - 2*i - 4*i)*(-1 + 3 - 4)*(3 - 3 - 9)*(-8*i**4 + 0*i**4 + 9*i**4).\nAnswer: 162*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 465 = 250*n - 219*n. What is the least common multiple of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-232)\/(-174)*50\/(-160)*-156.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -1) + 8 + -11 - -9. Suppose -2*g - 36 = -w, j*g - 6*g - 35 = -w. What is the greatest common divisor of w and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 9, 113*p = 4*w + 109*p - 57784. Calculate the greatest common factor of 143 and w.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**3 - 58*g**3 + 19*g**3 + 17*g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1542729 divided by 2\nAnswer: 1542729\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176 + 1230\/7. Let d be ((60\/(-27))\/(-5))\/2. Suppose 5 + 0 = -r. Which is the closest to q? (a) -1\/3 (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v**2 + 8*v - 4. What is the remainder when b(2) is divided by (-6)\/3 + 38\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 at most as big as 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 10*i**2 - 58*i + 13. What is x(-7)?\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - -1 - (133 - 142)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 38, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -6*t + t + 270, 0 = 5*t + 3*r - 270. Let z be 1 - (-2)\/((-4)\/(-2)). Suppose -z*g - 81 = -5*g. What is the greatest common factor of t and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04468 in 10123, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 140 = -4*v. What is the common denominator of 6\/(-2) + (-138)\/v and -49\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1393072\/3*(1 - 4). Let n = d + -284819. Let j = 3067891 + n. Round j to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 2)\/(6 + (-20)\/4). Let l(g) = g - 1. Calculate l(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 15, -5, -1, -2 in decreasing order.\nAnswer: 15, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 139007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 1. Let v(h) = 2*h + 1. Suppose 0*a = a - 16. Suppose -11*z + a = -3*z. Calculate z*v(t) - 2*n(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1697 and 146530358.\nAnswer: 146528661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 425666397261 and -11.\nAnswer: 425666397250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 = 2*p, -4*v + 3*p - 8*p = -16. Solve 21 = -v*u + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 7:37 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/55692177 and 127\/24213990.\nAnswer: 556921770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287319*y**2 + 112*y**3 + 287312*y**2 - 574631*y**2 + 60*y**3 - 18*y.\nAnswer: 172*y**3 - 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 - -96?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 5*l = 9. Solve -2*n = l*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k**2 + 4*k - 20. Let p(n) = 9*n**2 + 4*n - 16. Let j(r) = -5*p(r) + 4*s(r). Factor j(w).\nAnswer: -w*(9*w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 155 - n**2 + 8*n - 99. What is the tens digit of z(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202303 is divided by 672?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**3*n + 135*m**3 + 40*m**2*n**4 + 2*m*n**2 - 2*m wrt n.\nAnswer: 3*m**3 + 160*m**2*n**3 + 4*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -134247 >= -134252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 13*a + 2*k + 30, -10 = 2*k. Let d = -35 + 263. Calculate the smallest common multiple of d and a.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 29, 1, 3 in increasing order.\nAnswer: -5, -2, 1, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 440694237 to the power of 1\/2, to the nearest integer?\nAnswer: 20993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (26865\/1261062)\/(32\/(-29) + 1). Let q = 49\/242 + h. Is 0 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2346 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/425 and -1\/23132 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 20*s - 2. Calculate g(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 6*y**2 + 10*y - 16. What is the remainder when 8 is divided by b(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76307 (base 15) to base 14\nAnswer: -9aab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31886763 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5731 is divided by 629.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 9. Suppose -q + 29*b - 1 = 32*b, 0 = b + 1. What is the second derivative of -c*w**2 - 2*w**q + 2*w + 5*w**2 + 20*w wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 161585000 divided by 136?\nAnswer: 1188125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*sqrt(143)*2)\/(sqrt(11) + sqrt(88)\/sqrt(8)*-2).\nAnswer: -4 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 4*h - 85. Calculate the greatest common divisor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 5:12 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etct when four letters picked without replacement from eettcececeeeeteeeee.\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 148 = 173, -2*o + 8 = -2*r. Put 6, -13, -3, o in decreasing order.\nAnswer: 6, o, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 c when four letters picked without replacement from {a: 7, c: 6}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(1323\/420) + 16\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124202674 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -527*x**4\/4 + 1150*x**3\/3 - 498. What is the third derivative of c(a) wrt a?\nAnswer: -3162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*b + 107 = -243, -2 = b. Let s be v\/35*(-28)\/(-6). Solve 0 = 4*t - 0 + s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g + 40*g + 2*g.\nAnswer: 31*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8217600 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 138*p - 46*p**2 - 138*p.\nAnswer: -43*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -17*z**3 + 19*z**2 - 10. Let w(l) = 18*l**3 - 20*l**2 + 13. Determine -3*w(b) - 4*x(b).\nAnswer: 14*b**3 - 16*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17534*i + 18712*i - 14395*i to j + p*i and give p.\nAnswer: -13217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8580 and 145860.\nAnswer: 145860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 6*h - 3 + (-2 + 2 - h)*(3 + 3 - 3) in the form v + m*h and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**4\/12 + 4*w**3\/3 + w**2 - w. Let k be p(-8). Solve 5 = -j - u, -3*u = k*j + u + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3832*m. Let o(v) = v**2. Calculate o(b(n)).\nAnswer: 14684224*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*v**2 + 326 - 326.\nAnswer: -103*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-9))\/(d*d\/(d\/(d\/(d**24*d)))))\/(d**9)**(-8) assuming d is positive.\nAnswer: d**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*b + 49, 9 = g - 0*b + 3*b. Solve -3*u - 3*a - 3 = 0, 2*u + 3*a = -16 + g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*d + 1402*d + 721*d - 465*d.\nAnswer: 2103*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*h - 2*h + 4, 0 = -5*a + 4*h + 35 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6644 is divided by 68.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -143*t**2 + 4 + 50*t**2 - 3*t + 45*t**2 - 2 + 45*t**2. Let j(f) = -f**2. Determine -d(o) + 4*j(o).\nAnswer: -o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*(f\/(f\/(f*f*f\/f**13*f*f)))\/f)**9 assuming f is positive.\nAnswer: f**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)*(5 + -2). Suppose 0 = 2*v + a*v + 170. List the prime factors of 6\/(-15) + v\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 495 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 - (-52576)\/(-12). Let t = 48253\/11 + a. Calculate the common denominator of t and -62\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 19\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 5*i**3\/6 - 27*i**2\/2 - 20*i. Find the first derivative of n(h) wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68604945*-14.\nAnswer: -960469230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.2 - -3. Let g = -2.03 + 2.23. What is the biggest value in x, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.19 - 0.01. Let l be -2 - (-1)\/((-7)\/(-18)). Which is the second smallest value? (a) l (b) -5\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4309*u - 119140 = 5160*u for u.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 53773*c - 280. Is q(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 4:11 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7 + 3 + 5 - 5*z**3 + 6 wrt z.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2941074715 take away -2?\nAnswer: -2941074713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1968*u - 1961*u = 8610. What is the least common multiple of 390 and u?\nAnswer: 15990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + sqrt(95)*-1)*1)\/(sqrt(180) - sqrt(180)*2 - sqrt(180))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from yyoyywowwswrlr.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**3 - 3 - 5*d**3 - 20*d + 23*d - 2*d**2 as b*d**3 + i*d**2 + n*d + x and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -844\/3 - -2500\/9. Suppose 0 = -5*d + 3*o + 24535, 3*o - 1941 = -d + 2966. Let f = -49129\/10 + d. Calculate the common denominator of f and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4237302.20713 take away -2.42?\nAnswer: 4237304.62713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*j + 210*j - 21*j - 37*j in the form k + v*j and give v.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1824 and 21.\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b)**(-10\/3)*(b**(2\/7)*b)\/b**(-2) assuming b is positive.\nAnswer: b**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 171*s**2 - 4 - 110*s**2 + 24*s**2 + 4 in the form r + j*s**2 + i*s and give j.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -930 + 935. Solve -14 = z*b + 3*m, 2*b + 3*b + 16 = -2*m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 21*q + 55. Let w be r(-11). What is the common denominator of 45\/22 and ((-2)\/5)\/(19\/(35340\/w))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1666)*-2 - sqrt(1666)) + sqrt(1666) + sqrt(408)\/(-1*sqrt(12)))\/(sqrt(10)\/sqrt(5)*-6*1))**2.\nAnswer: 425\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -4. Let c = z - 5. Put -2, 3, c in ascending order.\nAnswer: -2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4\/g**(-8))**(-33))**3 assuming g is positive.\nAnswer: g**(-1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 30260*y + 212147. What is i(-7)?\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386053.\nAnswer: 17, 22709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37266 less than 37817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 502 - 502.000000836. Round c to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -242 + -469. Let a = 997 + k. What is the remainder when a is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*o**2 + 47*o**2 - 396*o**2 as q*o + u*o**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/5 (b) -0.601 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-19)\/(-76))\/(5\/4)*1. Let w = 2 - 2. Let y(d) = -d**2 + d - 1. Let i be y(w). Put -5\/3, i, j in descending order.\nAnswer: j, i, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 603211 + -402.\nAnswer: 602809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 0.37628, -2\/3, 2 in descending order.\nAnswer: 5, 2, 0.37628, -2\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 265, 12734, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017360842 to five dps.\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = -4. Let v(j) = j + 3. Let q be v(-4). Let i = q - -3. Which is the nearest to -2? (a) 2\/3 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3774248*r**2 + 7550081*r**2 - 3775126*r**2.\nAnswer: 707*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10665 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -376, -566, -760, -958, -1160?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43 from -0.081.\nAnswer: -43.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 2\/5 (c) -34441 (d) 0.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 7*j = -2*j - 727, 1490*j - 1486*j - 118 = -2*b for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Suppose -x*c - 12 = -0. Let q(t) be the second derivative of -t**4\/12 + 35*t. Let p(l) = -l**2. Determine c*p(w) + 5*q(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s + 1. Let a be -6 + -1 + (3 - 2). Let x(z) = -2 - 168*z + 4 + 172*z. Let m(r) = a*l(r) + 5*x(r). What is the derivative of m(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7366 and 4325234?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 40 + 20 = -2*d, -d + 15 = -u. Let r = -11 + 11.22. Sort u, r, -5, 0.5 in descending order.\nAnswer: 0.5, r, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from wkwwkwwwwkwwwk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 727 - 27047986.\nAnswer: -27047259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18, -27, -38, -51, -66, -83, -102?\n\"Answer: -o**2 - 6*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4 + 10*r**3 - 993*r**2 + 5382*r = 0?\nAnswer: -39, 0, 6, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597279 is divided by 491?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 + 1. Let x = 34 - 33.7. Put x, b, -5 in descending order.\nAnswer: x, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*b + 221*b - 54*b + 38*b + 437*b in the form i*b + x and give i.\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = 2*d - 84 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + 6*x + 2*x)*(0*x - x - x)*(-x - 93 - 83 + 174) to c*x**3 + z + l*x**2 + k*x and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.305267 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 0. Suppose -460685 = k - x*k - 2*d, 2*k = -3*d + 184263. Suppose 0 = 5*g - 417861 - k. Round g to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o - 29735*u + 106 = -29737*u, 0 = 2*o + 2*u - 8 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -180 at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auuupuupuuzuoauuupuu. Give prob of picking 1 z and 3 p.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06073818 rounded to three decimal places?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:24 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-8841.2.\nAnswer: 11493.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -17, -152 in decreasing order.\nAnswer: 18, -17, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10*c. Suppose 3*a = -7*z + 2*z - 2, 5*z - 5*a = 30. Let q(f) = 16*f**2 - 7*f**z - 11*f**2. Give x(q(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2\/11, -8, -0.06?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, w: 3, k: 3, x: 6, c: 6}. Give prob of picking 2 t and 2 c.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*u**4 + 66*u**3 - 109*u**2 + 3332314*u wrt u.\nAnswer: -1584*u**2 + 396*u - 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 14) to base 12\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 3*t - 2. Let n be ((-20)\/(-12))\/5*-3. Let v be c(n). Let b(u) = -5*u**2 + 5*u - 2. Let g be b(v). Are g and -11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 + 3757*w - 37965. Calculate h(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -39303 + 913\nAnswer: -38390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 17*z + 621. Does 5 divide x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 3\/13868 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) - (sqrt(225)*-2*-6 - sqrt(225) - sqrt(225)))\/(sqrt(40)\/sqrt(2)))\/(((sqrt(189)*-2)\/sqrt(7) - sqrt(27))\/sqrt(3)*2).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*p - 11 = 0, -5*d + 31 = 12*p - 10*p. Let h(c) = -2*c**3 - c**2 + 8*c + 0*c**3 + d*c - 16*c - c**2. Let o = -2 + 1. Determine h(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 0*a + 0*a - 6*a**2. Let n = 258 - 257. Let r(k) = 53920*k + 1 - n - 53922*k. Determine r(j(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 21)\/((-24)\/144*-306).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8484 (base 14) in base 10?\nAnswer: -22852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**4\/6 + 23*t**3\/6 + 5*t**2\/2 + 1657*t. What is v(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 4) in base 9?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16871259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b**2 - 2*b + 2*b)*(2 - 2 + 3) - 4*b + 4*b + 2*b**2)*(366*b - 186*b - 181*b - 15).\nAnswer: 4*b**3 + 60*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3193\/31 - (1575\/66 - (-12)\/88)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0 + 5\/18*w**4 + 1\/126*w**7 + 1\/18*w**6 - 4*w + 1\/6*w**5 + 5\/18*w**3 + 1\/6*w**2. Suppose r(n) = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -134, 5, 93, -4, -3, -5 in decreasing order.\nAnswer: 93, 5, -3, -4, -5, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 334397 and 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/g**0*g)*g))**(7\/8)*(g*g**(-1\/7))\/g**(-7)*((g*g**(1\/4)*g)\/g*(g*g**(1\/9))\/g)\/(g*g**(-2\/7)*g*g*g\/(g*g*g**(-2\/9))) assuming g is positive.\nAnswer: g**(4111\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 42 + 42. Let a(h) be the first derivative of -h**2\/2 + 2. Determine a(d(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 6*j + 38. Sort 26, j, -1, -4 in increasing order.\nAnswer: -4, -1, j, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3.18. Let i = q + -0.38. Which is the closest to i? (a) -0.3 (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**4\/4 - 7*m + 5. Differentiate p(g) with respect to g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 23*z + 1. Let r be m(-19). Let n = r - 71. What is the smallest common multiple of 15 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**5\/40 + o**4\/3 + 7*o**3\/6 - 8*o**2. Let u(g) be the first derivative of n(g). Differentiate u(l) wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 75 + 101 + 70)*(0 + 0 + 2).\nAnswer: -4*l**3 + 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**3 - 13*k**3 - 3*k**3 + 22*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 41 = 89. Let v = 29 + r. Solve 5*l - 6 = v*p, 0 = -2*l - 2*l + 4*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4026377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 2*v**2 - v + 6. Let r be d(0). Let b(y) = r*y + 21 + 24 - 17 + 8. Let t be b(-6). Solve k + 3 - 4 = t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/38 - ((-2195)\/95 + (-336)\/(-2 - 19))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 73. What is the derivative of 33 + 4*x - y*x - 8*x - 3 wrt x?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016248 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((690\/(-1150))\/(6\/(-65)))\/((-1)\/2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 11 + 9 + -22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22692 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 4:25 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 440854?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 9:02 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35828.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 + -50 + -53 + -27?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**3 + 10*f**3 - 5*f**3)*(-2*f**2 - 4*f**2 + 5*f**2) - 8*f**5 + 80*f**3 - 80*f**3.\nAnswer: -20*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/(-264)*22\/(-6)*117\/5?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 133121, 133119, 133117?\n\"Answer: -2*h + 133123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 888\/20 - 2\/5. Let i be 221607551\/a - 1\/4. Let w = -14636535 + i. Round w to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 852 and 5000.9.\nAnswer: 4260766.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4252091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -5, -0.03, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 176, 32, -2 in increasing order.\nAnswer: -2, 32, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 743549 greater than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 975724305 and 12.\nAnswer: 975724317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/6921 and 27\/1316.\nAnswer: 9108036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1*-80584\nAnswer: 80584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 333 and 16?\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**4 - t**3 + 0*t**4 - 5*t - 3*t**2 + 2*t**3 in the form k*t**3 + d*t + y*t**4 + u*t**2 + m and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/2)\/1*-2. Let l(i) = -2*i + 6. Let k be 3\/(-5)*-5*1. Let a(j) = j - 5 + j + 3 - k. Calculate s*l(c) + 4*a(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from aajjajj.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1938?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1730296 and 41862.\nAnswer: 5190888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-7))\/((-168)\/(-1568)). Sort -5, 9, 3, 5, u in decreasing order.\nAnswer: 9, u, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*p - 3948 = -50*p for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**3 - m**2 + 8. Let n(x) = 11*x**3 - 2*x**2 + 12. Let d(p) = 8*j(p) - 5*n(p). Let c be d(-3). Let g(h) = -h**2 - 3*h + 6. Give g(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2749312 is divided by 51.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 180 + -180. Let u be 69\/(-46) + a + 5\/6. Let v = 3\/7 + 15\/14. What is the fourth biggest value in v, -0.3, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 158*v**2 + 32*v - 1611. List the prime factors of f(71).\nAnswer: 233, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvvvrvvzzrv. What is prob of sequence zv?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/13 - 12*u\/13 + 224\/13.\nAnswer: -2*(u - 8)*(u + 14)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 + -39. Suppose -15 + v = 4*o. What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53638 + -28706. What is the ten thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93543 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: Factor -2*n**3 + 42*n**2 + 194*n + 150.\nAnswer: -2*(n - 25)*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 14387 - 14387 + 5*z + 5*z. Let n(d) = -32*d - 1. Give v(n(m)).\nAnswer: -320*m - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 156.5 + -157. Let s = -0.5 - k. Let b be 1*4*(-7)\/2. Do b and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**5\/30 - 342*o**2. Let y(x) = 102*x. Give y(w(k)).\nAnswer: -204*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2868 by 956.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -11. Find the third derivative of 0*q**6 - q**6 - 4*q**6 - 5*q**h + q**2 wrt q.\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -0.3, -3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -35, 4, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 9:43 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-17)\/l*l*l)\/l**(-17)*l**(2\/79)*l**(-14) assuming l is positive.\nAnswer: l**(-946\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3106 + 3270. Let j = 9 - 6. Suppose -5*x + 184 = 4*a, 16 = -4*x - j*a + r. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85578 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 = -w. Let f(z) = -16*z - 14. Let n(j) = 5*j + 5. Let t(c) = 4*f(c) + 11*n(c). List the prime factors of t(w).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 12329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -0.193.\nAnswer: -0.00193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 5:48 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388*o**3 + 192*o**3 + 4213*o + 194*o**3 - 2*o**2.\nAnswer: -2*o**3 - 2*o**2 + 4213*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**7\/420 + g**6\/90 + g**5\/30 + g**4\/8 + g**3\/3 + 8*g. Let h(w) be the second derivative of n(w). Is h(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/(-72)*((-21)\/(-30) + -1). Let q = -1 - -1.5. Put q, r, -2 in descending order.\nAnswer: q, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**3 + x**2 - 5*x. Let n(p) = 8*p**3 - 3*p**2 + 14*p. Suppose 4*u - 3 = 5*u, -2*c + 4*u = 10. Determine c*d(y) - 4*n(y).\nAnswer: y**3 + y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92912, 4, 1, -3, -4 in descending order.\nAnswer: 4, 1, -3, -4, -92912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 4, -3, 3925, -2 in decreasing order.\nAnswer: 3925, 29, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 219 = 228. Suppose -4*i = -5*k - 60, -3*i + 10 + 28 = -2*k. Suppose 4*j - i = 6. Solve 0 = -a*s + j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 238*n - 13. Let g(i) = -2. Determine 5*g(l) - m(l).\nAnswer: -238*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.056 and 0.148177.\nAnswer: -0.008297912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 2)\/(-3 - -1). Let g(h) = -2*h**2 - 7*h + 20*h + 3*h**2 + v - 9*h. What is g(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113.58003 + 0.13797. Let p = l - 1.018. What is p rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2701536*l**2. Let u(g) = -3*g**2. Determine u(a(f)).\nAnswer: -21894890277888*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1312\/12*(-18)\/30*199\/(-1592).\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*o = -6. Suppose -2*i - u = o*u + 730, -2*i = u + 745. Let d be i\/(-10)*(-25440)\/9. Round d to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1312419*t**6 + 13*t**2 + 1870*t + 1 wrt t?\nAnswer: 157490280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14247, -13813, -12643, -10371, -6631, -1057, 6717?\n\"Answer: 61*d**3 + 2*d**2 + d - 14311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58152, 58151, 58150, 58149, 58148?\n\"Answer: -b + 58153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 11, -3\/5, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -9*a. What is the remainder when 33 is divided by (a\/(-3))\/(-4) - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**5 - 38578528*l**4 - 50203899*l wrt l?\nAnswer: 40*l**3 - 462942336*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2124, 1329?\nAnswer: -2124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 7455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -17*u**6\/120 + u**5\/10 - 2*u**2. Find the third derivative of q(s) wrt s.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89.46 + 91. Let s = -0.24 + x. Let q = s + -0.3. What is the third smallest value in q, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 267609.12.\nAnswer: 267609.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4576291 to the power of 1\/2, to the nearest integer?\nAnswer: 2139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -132763462.4 rounded to the nearest one million?\nAnswer: -133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*h**5\/2 - 32*h**4 + 77*h**3\/2 - 15*h**2.\nAnswer: h**2*(h - 1)**2*(17*h - 30)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395*z = 392*z + t + 42298, -5*z - 5*t = -70530. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 645694, 2582689, 5811020, 10330693, 16141714?\nAnswer: 23244089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0) + -6 + (-10 - 3 - -33).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10888?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 472, 1454, 2946, 4948, 7460?\nAnswer: 10482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299966259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 12216*x + 12167*x - 36650*x + 44*x**2 + 12191*x in the form n*x**2 + j + p*x and give n.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6*a - 5 = 2*d, 0 = -4*d - a + 5. Let n(j) = j**2 - j - 1. Let l be n(3). Do l and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + x + 23, 4*m - 13 = 3*x + 8. Let o be ((-4)\/(-6))\/((-1)\/m). Sort 3, 2, o in decreasing order.\nAnswer: 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.4 and 3.5552367.\nAnswer: -8.53256808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70125 is divided by 69864?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163198 is divided by 10879?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138560678*d**4 - 165612763*d**2 wrt d.\nAnswer: -3325456272*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*2\/(4 + 2). Suppose 2*x = 2*c - 2*x + 2, t = -3*c - 3*x - 12. Let l be -6750*(4\/c)\/(-1). Round l to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 398 + 166 = 140. What is the remainder when 578 is divided by a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10) - 3\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -33*z**2 - 241400319*z - 43890966 = 0.\nAnswer: -7315161, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2750 + -2749.89. What is the nearest to -2\/13 in -2, u, -5, 3\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3991, 3992, 4003, 4030, 4079, 4156, 4267?\n\"Answer: g**3 - g**2 - 3*g + 3994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 1. Let y(f) = f**2 - 5*f - 22. Let g(w) = -2*h(w) + y(w). List the prime factors of g(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*x + 12390 = 179*x for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 16 = -4*r, -5*y + 11*r + 12 = 7*r. Suppose y*m + 0*j - 1473 = 5*j, j = 2*m - 735. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 1, 1\/8, 82, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {w: 3, b: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -34. Let i = -8 - h. Let u be -15*(0 + (-3)\/i). Solve 3*b - u*z = -7 - 15, 5*b - 3*z + 10 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = c + 3, -3*h = c - 3*c + 4. Let b(u) = -u + h*u - 4*u + 2*u + 6. Give b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*v - 288, 5*v = 5*l + v - 1524. Calculate the remainder when l is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzm when three letters picked without replacement from {z: 7, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 - -139. Let m(a) = -5*a**2 + 7*a + 6. Let w be m(f). Solve 8*i + w*i + 40 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*o**3*s**3 - 20*o**3*s**2 + 51*s**3 + s**2 wrt o.\nAnswer: -9*o**2*s**3 - 60*o**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 6:27 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -29296*f + 3*f**2 - 4*f**2 + 29336*f. Let h(o) = -3*o. Calculate h(k(g)).\nAnswer: 3*g**2 - 120*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 869 = -3*d - 233, 2*d - 424 = -4*t. Suppose 0 = -3*k + a + d, 2*k + a - 163 = -25. Calculate the greatest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 12*c + 1. Let m(t) = -5*t - 1. Calculate m(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -17*l**8\/336 - l**7\/210 + 35*l**4\/24 + 87*l**2. What is the second derivative of h(r) wrt r?\nAnswer: -340*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1221 - -1194. Let t = 0.21 + 21.79. Let z = n + t. Sort -4, z, 5\/3 in descending order.\nAnswer: 5\/3, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 3*v**2 + 2*v**2)*(-5*v**2 + 4*v**2 + 3*v**2)*(693 - 14*v - 693).\nAnswer: 56*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 12*c + 45028. Let q = 1486 - c. Suppose 3*k + q = -3*k. What is k rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 420215 - 3370193\/8. Let b = -867 - 188. Let q = b - l. What is the common denominator of q and 55\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 8:22 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 59*h**2 + 3388*h - 199966. Determine o(60).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 1. Let j(l) = 63*l**2 + l - 12. Let d(i) = j(i) - 2*y(i). Let w(x) be the first derivative of d(x). What is the hundreds digit of w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 2 = -10. Let x = -2 - q. Let i = 21 - x. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 66*r**2\/7 + 8553*r\/7 + 8487\/7 = 0?\nAnswer: -2829\/22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -261 (base 9) to base 16\nAnswer: -d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*u - 5*u - 4, 13*u - 17*u + 2*o - 14 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.083288877 rounded to four decimal places?\nAnswer: -0.0833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*p**2 + 72*p**2 - 116*p**2 + 160*p**2 + 103*p**2 - 53*p**2.\nAnswer: 301*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) 5\/2 (b) -13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 3*s**2 + 81*s - 44. What is the smallest common multiple of r(7) and 43?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 11:13 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 6*q + 8. Calculate the lowest common multiple of c(-5) and 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(153)) - -4*(sqrt(153) + 2 + sqrt(153))**2) + 3 + 5 + -1*sqrt(153).\nAnswer: 108*sqrt(17) + 2472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + f**2 - 6*f + 1. Determine h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11470, 11469, 11468?\n\"Answer: -i + 11471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*g + 2. Let w be 84\/18 - g\/3. Let h(b) = b**3 - 4*b**2 + 2*b - 5. Calculate h(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19926 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -380.4 + 380. What is the smallest value in -2, -4, -3, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 74*k**2 + 108*k - 205. What is q(1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.97 + -4.4. Let z = d + 57.33. Round z to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 55461*s - 4687. Is g(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + l + 3. Let h be j(0). Suppose 3*x + 4*c = -x + 8, -h*x + 5*c = -30. Put x, 4, -5 in descending order.\nAnswer: x, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1. Let s(r) = 3*r + 1. Give -s(u) - 3*v(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433782*m**4 + 4337812*m**3 + 11712034*m**2 + 7807860*m - 144 = 0. What is m?\nAnswer: -6, -3, -1, 4\/216891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1 = 13, 2*y - 7512 = -4*p. Find the common denominator of (-9)\/30*p\/(-216) and -59\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56060*q - 28022*q - 28018*q.\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -2)\/((-3)\/2). Let g(f) = 2*f**2 + f. Let o = 15 + 2. Calculate the remainder when o is divided by g(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 112 = 13*f. Solve 11*l - f*l = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 4. Let f = 7 - 14. Let g = f - -1. Let c(z) = -2*z + 5. Let y(d) = g*q(d) - 5*c(d). Give y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:41 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 462 + -5070\/11. What is the second smallest value in -0.1, n, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103.3027 - 4235068.54.\nAnswer: -4235171.8427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-2*n - 4*n + 7*n + 16) - 31*n + 7*n - n.\nAnswer: -26*n - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -13494*x - 445. Is k(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -532*y**2 - 525*y**2 + 1038*y**2.\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4 + 9*l**3*w**3 + 3*l**3*w - 4*l*w**3 + 43*l*w**2 wrt l?\nAnswer: 24*l**2 + 54*l*w**3 + 18*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1450)\/(-1740))\/(3\/(-270)*537 + 6)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(17) + 4) + sqrt(170)\/(sqrt(640) + sqrt(10)))**2.\nAnswer: 224*sqrt(17)\/3 + 24992\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 349, -7, 0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o. Let b(f) = 2*f**2 + 10*f. Let c be b(-7). Suppose -2*s = 3*r - c, -5*s - 3*r = -19 - 33. Let w(g) = -g + s - 8. Calculate z(w(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p**2 + 210*p - 788. Give l(31).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2 + sqrt(114)\/sqrt(6))**2 - (5 + 1*sqrt(304))**2)*-6.\nAnswer: 216*sqrt(19) + 1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6490?\nAnswer: 2, 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**7\/21 + 71*i**5\/10 - 53*i**3\/2 + 57*i. What is the second derivative of r(y) wrt y?\nAnswer: 40*y**3 + 852*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56 + 3777?\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53.935 + 54. Let v = -0.06352 + j. What is v rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24411795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21287059 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 87*n + 1183. Let t be h(-70). Which is bigger: t or -22?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p - 3. Let w be x(-4). Let u(i) = -i**2 + 11*i - 18. Let q be u(w). Suppose -5039 - 417 = -4*b - 3*v, -3*v + 12 = q. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + -2)\/((-9488)\/17790)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.19, -9, -0.4, -1\/3.\nAnswer: -17.19, -9, -0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 817, 1634, 2451, 3268?\n\"Answer: 817*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -115741315 and -0.03.\nAnswer: -115741315.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 9*g - 28*g**2 + 2 - 7*g - 5*g - 3*g to a*g + i + p*g**2 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (0\/(-4) + 2) - -107. Suppose -t = 10*z - 14*z. Sort -2, z, 1 in ascending order.\nAnswer: -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-4) - (-3)\/6. Let c be n\/15 - 18\/(-40). Put 2\/3, 0.3, c in descending order.\nAnswer: 2\/3, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -12121022?\nAnswer: -12121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001245130896 to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 39 = -5*t, -5*t + 4*o + 1 = -4*t. Suppose -5*i + 99 - 39 = 0. Suppose 5*f + i = -28. Which is smaller: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29077, 29077, 29075, 29071, 29065?\n\"Answer: -x**2 + 3*x + 29075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 12*q = 545. Let j = q - 78. Let s = j + -19. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -19. Let d(q) = -q**3 - 16*q**2 + 6*q + 18. Is d(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dllfdb. Give prob of sequence bfdf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 38*t**2 - 74*t - 87. Calculate x(-36).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -91, -5049, 5, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 93170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 222266 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410 = -14*l + 40*l + 15*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.76 - 10. Let f = x + -13.76. Let l = 14.083 + f. Round l to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-173)\/519)\/(8\/(-18))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. Suppose -3*v - x*t + 16 = 0, 0*t - 2*t + 22 = -4*v. Is v at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44398999?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**(-3\/8)*s)*s*s*s*s\/s**(-3\/2))**(2\/33) assuming s is positive.\nAnswer: s**(47\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 27039*j - 2457810.\nAnswer: 3*(j - 90)*(j + 9103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 7) in base 2?\nAnswer: -1111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 10:47 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 5, -1, -4, 3.\nAnswer: -4, -1, 1, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + sqrt(171) + 2)*2.\nAnswer: 10 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20783 or 20604?\nAnswer: 20604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99907, 199817, 299727?\nAnswer: 399637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*f**2 - 155*f**2 - 152*f**2 - 154*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732266090?\nAnswer: 2, 5, 163, 449243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v + v)*(6*v + 2*v + 8*v)*(-v + v - v**3).\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - 12165.11094.\nAnswer: -12223.11094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w + 8. Let q(l) = -4*l + 7. Let r(j) = 4*q(j) - 5*t(j). What are the prime factors of r(6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 - d**4 - d**4 + (-3*d + d + 4*d)*(-d**3 - 2*d**3 + 5*d**3) - 7*d**3 + 7*d**3 - 25*d**4 as z*d**4 + n*d**3 + y*d**2 + q + c*d and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2622 = 222*p - 42 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 44 + 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 51.7. Let m = v + -0.7. Let g = -3.7 - -4. What is the nearest to 1 in m, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2 - 26913*x - 107636 = 0.\nAnswer: -26909, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1212 - 2111544?\nAnswer: -2112756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**4*h - 186*g**2*h + 4926*h wrt g?\nAnswer: 4*g**3*h - 372*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4394006, 8788045, 13182094, 17576153, 21970222, 26364301?\nAnswer: 30758390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -8.7. Sort -1\/5, g, 0.5 in decreasing order.\nAnswer: 0.5, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 11 = 2*b - 3, -6 = b + 3*x. Let o be (-371 + 1)\/(-1 + b). Suppose 0*n + 5*n = o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 - -125. Suppose 4*p + 4*v - 12 = 6*v, v = -3*p + 9. Solve 3*x - o*x + 3*g = -5, 0 = -5*x - p*g + 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-132)*((-3)\/10 + 0).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 13\/6*u**3 - 27*u**2 - 29\/24*u**4 + 0 + 0*u. Find the first derivative of p(q) wrt q.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a + 4*s + 1076 = 0, 2 = s. Let n = a - -390. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/59, 1\/5, -2.4?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 2*k + 12, -5*z - 4*k + 0 = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -9 + 5 + 1 - (51 - 52).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -14019, -1.8, 1.\nAnswer: -14019, -1.8, -3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 18*g - 2*g. Suppose 0 = 46*o - 4018 - 2836. What is the remainder when o is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/3 and 107\/1210.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 5*i**2 + 4*i - 4. Let o(u) = -11*u**3 - 2*u**2 + u - 1. Let a(q) = 4*q**3. Let h(y) = -8*a(y) - 3*o(y). Give 3*g(m) + 4*h(m).\nAnswer: m**3 + 9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15841*l - 294 - 3213*l - 296 + 885 - 295)*(2*l + 2*l**3 - 2*l).\nAnswer: 25256*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -673, -681, -553, -217, 399?\nAnswer: 1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -12*g + 3. Let r be j(1). What is the units digit of (-3)\/r*54\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 2. Let l(y) = y**3 + y**2 + 1. Let a be l(0). Let q(i) = -8*i + 1. Let o be q(a). What are the prime factors of b(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**2 - 95*l + 13. What is c(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(-18*k**3 - 2*k + 37*k**3 - 3*k**3).\nAnswer: 48*k**3 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-6))\/(-3))\/((-55)\/(-90)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 t when four letters picked without replacement from tthknh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from dxddodxx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 120101.5 days?\nAnswer: 10376769600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = o - 3*u - u, u = 4*o - 521. What is the least common multiple of (27\/(-2))\/(-1) - o\/(-52) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*u - 111. Let d = 33 + -28. Suppose 3*v - 332 = -5*q, 2*v + 0*v = -d*q + 328. Calculate the greatest common factor of u and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 1)*17\/4. Let x(g) = 11*g**2 - 17*g - 9. Let p(f) = 1086*f**2 - f - 3 - 1082*f**2 - 5*f. Determine o*p(c) - 6*x(c).\nAnswer: 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 290051 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qllqqqzqqzmaaazz. Give prob of picking 1 z, 1 q, and 1 m.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 2:21 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r**2 - 4*r + 7. Determine t(3).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24344 - 153381.9?\nAnswer: -177725.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*m**3 + 87867*m**2 - 87864*m**2 - 113*m**3.\nAnswer: 200*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*p - 160*p + 3*z = 60, 2*p + 2*z = 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -429 - -68. Suppose 3*a - 3*s - 2049 = 0, 54*a - 56*a + 1371 = -s. Let u = a + c. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2905.7 + -3159. Let j = -253 - a. Put j, -21, -1\/4 in descending order.\nAnswer: j, -1\/4, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -229 - -99. Let b = 190 + d. Calculate the least common multiple of b and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16320 + -16319.3932. What is k rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1650 - 14333?\nAnswer: -16203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 32*x + 38. Determine d(-31).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/((-10)\/690) + -5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-21))\/(1002\/(-14028)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 119 (b) -2\/13 (c) -0.4 (d) -167 (e) -1\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53938 - -75529. List the prime factors of z.\nAnswer: 3, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 2 = 15*d. Let w = d - -11. Factor 6*a + 8*a - w*a + 2*a**2 - 4.\nAnswer: 2*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 66250962 and -0.37.\nAnswer: 66250961.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42651\/2 or 21327?\nAnswer: 21327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27288.37 weeks?\nAnswer: 16504006176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258215 is divided by 157109.\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-13)\/(-286))\/(30\/1540))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 5:06 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236, 271, 306, 341, 376, 411?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 240 and -24117.78.\nAnswer: -23877.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 7:19 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -256720, -256715, -256706, -256693, -256676, -256655, -256630?\n\"Answer: 2*s**2 - s - 256721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(2\/(-183)*23\/46).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2184*l - 285995. Give x(131).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -20. Let s be 9\/(-3)*2\/(-2). Which is bigger: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(14\/70*15*2\/(-3)). Solve -11*a = -5*k - 6*a - 15, f = k + 5*a - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**5\/60 + t**4\/24 + t**3\/2 - t. Let d(x) be the second derivative of a(x). Give d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 984, 1821, 3208, 5139, 7608, 10609?\n\"Answer: -w**3 + 281*w**2 + w + 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94 + -89 - (-4 - -23).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 28*x + 4 - 27*x)*(4 - 4 - 2*x).\nAnswer: -2*x**2 + 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 66 - s)*(s + 1 - 1 + 3*s - 5*s + 0*s + (-2*s + 5*s - s)*(0 - 2 + 0) - 2 - s + 2 - s - 2 + 2 - s + 4*s - 5*s).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/(-27))\/(9\/(-112779)).\nAnswer: 2, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5857535146?\nAnswer: 2, 2928767573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15 from 127862.7.\nAnswer: 127847.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53980 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -115?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1010 + 111202032?\nAnswer: 111201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**3 - x**3 - 6*x**3)*(-3 + 3 - 2)*(0*x - 5*x + 2*x) to u + d*x**4 + l*x**2 + n*x**3 + j*x and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(176) + (sqrt(176)*-3 + 4 - sqrt(176)) + (sqrt(176) - (1*(sqrt(176) - (-1*sqrt(176) - sqrt(176))))**2).\nAnswer: -1581 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/63 - 70\/(-9). Solve -j - 9 = -f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5) - sqrt(25)\/sqrt(5)) - ((sqrt(5) - (sqrt(5)*2 - sqrt(5))) + -5))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04635 + 4.04635. What is the second biggest value in 6.3, 3, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 8*m**2 + 7*m - 10. Let f be g(-9). Sort 2, f, -5 in descending order.\nAnswer: f, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**4\/3 + 430*w**3\/3 + 868*w**2 - 4*w - 120. Factor z(a).\nAnswer: -4*(a - 217)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1599277, 1599292, 1599319, 1599358, 1599409, 1599472, 1599547?\n\"Answer: 6*l**2 - 3*l + 1599274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b + 1)*(236 + 114 - 122)*(4 - 3 - 4)*(-53 - 32 + 30).\nAnswer: 75240*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**3\/6 - 5*p + 3. Let i(l) = l**2 - l + 1. Let r(k) = 8*k**2 + 5*k - 5. Let z(d) = -5*i(d) - r(d). Give z(m(g)).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*t + 11 = 0, 6*t - 29 = -5*z + 3*t. Let f = 0 + z. Solve -4*w - f = 4*a, w + 17 = -5*a - 0*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 14. What is a(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -341d33 - 6?\nAnswer: -341d39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 - 26 = -16*x + 56 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.99574l in millilitres?\nAnswer: 30995.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -17541.5?\nAnswer: 17541.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -169*u. Let o(p) = 43*p**2. Calculate h(o(a)).\nAnswer: -7267*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8773 is divided by 325?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(60\/6)*(18\/(-248))\/9.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1015.57?\nAnswer: -1015.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 - 47. What is the remainder when 138 is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 9:37 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + w**2 + 1 - 2*w**2 + (3*w**2 - 5*w**2 + 3*w**2)*(2 - 7 + 3) as q + c*w + t*w**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + c - 12. Let i(x) = -x**3 - 7*x**2 - 7*x - 5. What is the units digit of i(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 11223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 966*l + 683*l + 43123 + 4698 = 0 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 + 2*q**2 - 2*q**3 + 3*q**2 + q to x*q + h + m*q**2 + w*q**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*sqrt(3)*-5.\nAnswer: -20*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1463787 - 1)\/(2\/4). Suppose -u = -3*j + 12072428. What is j rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 + 59*n - 16*n - 4*n**3 - 3*n**4 - 4 + 3 - 3*n**2 + n**2 to the form w*n**3 + y*n**2 + r + h*n + u*n**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 6:30 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 9*i - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.16508, -18\/7 in descending order.\nAnswer: 12, -0.16508, -18\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(((r**(2\/25)*r)\/r)\/r)*r)\/r)\/(r**(-17\/2)\/r) assuming r is positive.\nAnswer: r**(671\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 6*s + 2*i = 666, 0 = -5*s - 3*i - 676. Let r be (-14)\/(-119) - s\/17. Solve -14 + r = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 8:56 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 + 118. Is x less than -0.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*f - 32. Let y = 10 + f. Find the common denominator of 58\/5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4*0 + 21 + 1. Let t = -28 + n. Let m(g) = 8*g + 6. Let s(r) = r + 1. What is t*s(c) + m(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9320 divided by 2330?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -706.1767 + -1.7233. Let u = v - -751. What is u rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l**2 + l. Let v be p(-1). Let t be (-3)\/v + (-7)\/(-35). Solve t*n - 3 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = 183 - 239 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + l - 72324. Let k = l - -396162. Round k to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3796128 - 775128. What is g rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -31*f + 16. Calculate s(-3).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(14650\/4885 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 210 - 174. Solve -17*n - 64*n**2 - 5*n**2 - y - 3*n**4 - 42*n - 24*n**3 - 25*n = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from {b: 1, n: 3, h: 4, s: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*t + 20*t - 92. Suppose 0 = -0*v + v - t. What is the greatest common factor of 115 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71791, 574190, 1937821, 4593292, 8971211, 15502186, 24616825?\nAnswer: 36745736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 13. Let y(j) = 275*j**2 + 6*j + 269*j**2 + 62 - 545*j**2. Let l be y(-5). Determine c(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 2188389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100010000010101 + 1001010101?\nAnswer: -1110100000111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**2 - v + 1. Let b(z) = 11*z**2 + 2*z - 3. Let u be (0 - (-30)\/(-20)) + (-14)\/4. Give u*g(q) - 2*b(q).\nAnswer: 3*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 24. Suppose z = -6*h + 5 + 91. Suppose 32 - h = 4*g. Solve -2*n - 2 = g*o - 0, 0 = 5*o - 5*n - 35 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -9, -4, 2, -4\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3463 times 0.08?\nAnswer: -277.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -423 - -279. What is the common denominator of 939\/w + (-2)\/(-6) and 2\/4 + (-61)\/5?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7\/2*w**2 + 9*w - 1\/4*w**4 - 45\/4 - w**3 = 0.\nAnswer: -5, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 94488 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n - 5*n + 7*n**2 - 13*n + 36*n + 8*n**2 - 9*n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-16) + 9)*(-2)\/3 - -10?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 8402076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - k + 2135 = 2137, -2*k - 4 = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 621219 + -1535653313\/2472. Let v = -2\/103 - r. Find the common denominator of v and 95\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 4\/12*(-1 - -55).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 41*x - 14. Determine q(-8).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -267*l + 1068. Let p be a(4). Solve -23 = 5*r - 2*n, p = 7*r - 6*r - 5*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 1664115.504\nAnswer: 1664126.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -11*p - 3. Suppose p = -10*d + 17*d - 14329. Is d 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 -167622378*w**4 - 35703549*w**2?\nAnswer: -4022937072*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 3*o**2 + 9*o + 3. Let b(q) = q**2 + 3*q - 2*q - 4*q**2 + 4*q**2. Let n(v) = 5*b(v) - k(v). What are the prime factors of n(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1969\/9 - -219. Let z = 73.5 - 74. Which is the nearest to 0? (a) 1\/8 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**2 - 4. Give x(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15931 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1.28\nAnswer: -5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*x + 6*x + 277 + 35. Solve g + 3 = n + 2*g, 0 = 4*n + 3*g - x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 780795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - h**2 - 2. Let s be 12\/(-15)*5*(-3)\/6. Let m(o) = -73*o**3 - 17 + 72*o**3 + 18 - o**s. Give -m(l) + x(l).\nAnswer: 2*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 8 = -9 + 1. Solve 10*m + 40 = k*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 2. Let r(d) = 10*d + 45. Let m be r(q). Solve -2*s = m*z - 17, -7 = 2*s - 4*z + 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -20*g - g**3 + 6*g**2 - 2 + 13*g + 2*g**3. Let w be b(-7). Which is bigger: w or -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 798?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*v - v + 5*v)*(2*v**2 - v + v).\nAnswer: -54*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 7*s - 25. Suppose 24 = -v - s. Is v greater than -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1377) + -3*sqrt(1377) + sqrt(1377)) + -1)**2.\nAnswer: 108*sqrt(17) + 49573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 2*j**5\/5 + j**4\/2 - 2*j**3 - j**2 + 4*j + 247. Factor u(c).\nAnswer: 2*(c - 1)**2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 2*z - 3. Does 24 divide f(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350214966?\nAnswer: 2, 3, 19456387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8833 and 1168.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8 + 2*q**2 + 4 + q**2 - q**2 + 16*q. Is k(-11) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 f when three letters picked without replacement from {y: 4, f: 1, r: 2, q: 4, c: 3, n: 6}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -649, -2514, -5593, -9886, -15393?\n\"Answer: -607*h**2 - 44*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 2, 0, -11, -3, -47\/5, -4 in descending order.\nAnswer: 2, 0, -3, -4, -47\/5, -11, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-3 - -30 - 6) + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*g + t - 98, -11 = -g + 4*t. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*u - 36, -2 = -4*u - 14. What is the least common multiple of v and 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313061 (base 7) to base 6\nAnswer: -1053302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-21) - (-324)\/42. Sort p, 3, -2 in decreasing order.\nAnswer: p, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 21*s + 291. Let u be b(-11). Calculate the highest common divisor of 100 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 19*x - 93. Let q be z(9). Let p(k) = -7*k - 9. Let m be p(q). Solve 2 = g, -2*o + m = 3*g + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112890 is divided by 2210.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 3:46 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -81 - 1069. Does 23 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -13362*j**3 - 5*j - 15. Let f(w) = 13*w**3 + w + 3. Give 5*f(x) + o(x).\nAnswer: -13297*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 + -121.14. Let o = f + 0.14. Let r = 1 - 1. What is the nearest to -1 in o, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 14. Suppose -u + 336 = 4*d, b*d - 2*u - 31 - 293 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*(o*o**(-18))\/o)\/((o**(-3\/2)\/o)\/o))**(-41))**(28\/9))**(1\/21) assuming o is positive.\nAnswer: o**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/121)\/(10\/(-2420)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -46*c + 7*c = 14*c + 848 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h - 3. Let b(v) = -v**3 + 4*v**2 + v - 1. Let a be b(4). Is n(a) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sppsdpppspssss. Give prob of picking 2 p, 1 d, and 1 s.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-4)*((-40)\/(-84))\/(725\/435)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1, 1\/2, 14 in decreasing order.\nAnswer: 14, 1, 1\/2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -5, -25, 0, 0.2 in descending order.\nAnswer: 0.2, 2\/11, 0, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 10:23 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8851.25783256+-170\nAnswer: 8681.25783256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(((-12)\/(-10))\/3). Suppose 0 = i*a - 15 - 5. Solve -a = 2*k + 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 7. Let g be k(8). Let b = 69125\/12 - 5757. Find the common denominator of 22\/156*g\/6 and b.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**5\/60 - z**4\/6 + 8*z**2. Give c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3296 and 3306 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 7*b**2 - 23*b - 95. Determine r(-6).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 14630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 11*a - 16. Let v be k(9). Solve -5*z - 4*y - 7 = 0, -2*z = 5*y - y - v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-10)*8*-2. Suppose -y = 2*b, 2*g + b - 6*b = 100. Suppose -2*c + 3*f + 65 = 2*c, -g = -3*c + 4*f. What is the smallest common multiple of c and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -22*z + 379. What is l(20)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2. Let b(o) = -9*o. Calculate t(b(j)).\nAnswer: 81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*y - 187, 2*w - 180 = -3*y - 36. Let m = -56 + y. Let u = m + 93. List the prime factors of u.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - c + (-3 - 6 - 1)*(4 + 2*c - 4) + 3*c + 0*c - 5*c)*(4*c - c + 0*c).\nAnswer: -69*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -7979 and -7964 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2471 * 4\nAnswer: -9884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163965 by 85.\nAnswer: 1929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1448381\/1599988 - 1\/13793. What is the common denominator of i and 35\/11?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1512803514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19\/486, 2\/7, -18?\nAnswer: -19\/486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 377\/2370 - -3\/395. Put w, -154, 3, 0.5 in descending order.\nAnswer: 3, 0.5, w, -154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41850 by -45.\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and 0.09413561.\nAnswer: 0.112962732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46576 is divided by 108?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23302 (base 6) to base 9.\nAnswer: 4532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:53 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 13.3.\nAnswer: 39.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, i: 16}. What is prob of picking 2 q?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371550693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 976.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*t + 116, -2*c + 12 + 22 = -t. Let x = t + 47. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 171 in -2, 1, -1.48?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(34))\/sqrt(2) - (3 + sqrt(17) + -1).\nAnswer: -3*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + w + 136, -5*w - 85 = j - 4*j. Let v = -32 + j. Suppose -v*h + 84 = -48. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**3 + 3*t**2\/2 + t + 19. Let f(i) = 2*i + 1. Determine 11*f(w) - 4*k(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.7 + -38. Let t = -2 - x. Let h be 1 - (-2)\/(-2) - 1\/(-3). Put -4, t, h in increasing order.\nAnswer: -4, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -50031234840?\nAnswer: -50031234840.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-9))\/((-2)\/(-216)). Find the common denominator of 1\/3 - 388\/v and (-143)\/(-28) + (-1)\/(-4).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/84*(44 - -26). What is n in -o*n**2 + 2 + 14\/3*n = 0?\nAnswer: -1\/4, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*d + 18, -2*d + d - 21 = 2*l. Let w = 17 + d. Differentiate -1 + 4*q + 12 - w*q with respect to q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54238292 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3637.9 or -18\/19?\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(252) + 4*(sqrt(252) + -2) + 4*(sqrt(252) + (sqrt(252) + -2 - sqrt(252)))*-6 + 0)**2 + -1.\nAnswer: -9120*sqrt(7) + 92571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 288?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40377 or -40363?\nAnswer: -40363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*g - 16, 83*f - 101*f = 4*g - 50. Suppose -69\/4*n**2 + 69\/4*n**4 + 33\/4*n**f - 9\/4*n**5 - 6*n + 0 = 0. Calculate n.\nAnswer: -1, -1\/3, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -26 - 64. Let y be (-8)\/(-3)*h\/(-10). Let a be 12\/16 + 33\/y. Let f(b) = -b**3 - b**2 - 2*b - 3. Give f(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*d + 2045 = 379*d. Let p = -325 + d. Calculate the greatest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (63\/2 - 0)\/((-3)\/(-42)). Let z = g - 441. Solve -x + 7*x + 6 = z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/7)*o**0)\/(o\/(((o*o**(-8\/5))\/o)\/o)*(o*o**(-1))\/o) assuming o is positive.\nAnswer: o**(-96\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 44, 13\/88, 2, 0, 0.22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 316984, 3\/8, -0.03 in descending order.\nAnswer: 316984, 3\/8, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2\/8 - 501*u\/8 - 4788 = 0. What is u?\nAnswer: -57, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3675 - 3664. Solve c*m + 10*m - 84 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*a**2\/5 + 105609*a\/5 + 57654.\nAnswer: -3*(a - 3203)*(11*a + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + 20*k**2 - k - 13. Let m be w(-10). Put -0.4, 12, m, -2\/15 in decreasing order.\nAnswer: 12, -2\/15, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r. Let w(p) be the first derivative of p**3 - 6. Determine h(w(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 408255*k + 3266044. What is q(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4 + 34\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -15 + 2\/(-8) + 10\/8. List the prime factors of 8\/m*(-6972)\/24.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44928*o**3*w + o**3 - o**2*w - 10594*o*w - 2 wrt o?\nAnswer: -269568*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(180)*-1.\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9 + -2. Let l = -231.8 + 231.7. Let p = -0.09 + -2.91. What is the closest to y in p, 4\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 46, 1 in descending order.\nAnswer: 46, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1674, 1867, 2060?\nAnswer: 2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-56.13.\nAnswer: -4.4904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 3*z**2 + 12*z + 25. What is p(-4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2841 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 106*q**3 + 2*q**2 + 2*q - 3. Let d(j) = 1 - 3 - j + j**3 - 3*j**2 + 6. Let g be d(3). Is 14 a factor of r(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 40, 57?\n\"Answer: 17*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o + 3 + 3 + 2*o**3 - 5*o - 5*o + 2 to the form u*o + b*o**3 + x*o**2 + t and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -185 <= -1301\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 420926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -3*j - 14, 0 = -j + 61*m - 65*m - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.32 (b) 1.1 (c) 5 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816383091?\nAnswer: 3, 23, 47, 251737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 2*k**2 - 1\/8*k**4 + 0*k + 0 + 0*k**3. Determine d(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*g + 132*g + 9091 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*k + 989 = 21581 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 2:12 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -153*(3\/2)\/(21 + 855\/(-38)). Solve -28*p = 23*p + h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -4, 2\/57?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -101011 (base 2) to base 12\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2579179547 - -18.\nAnswer: 2579179565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -403.9 - -409.9. Sort b, -258, -5.\nAnswer: -258, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -41.13.\nAnswer: -205.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 9075?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73202041.\nAnswer: 11, 19, 350249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/59 in -16, 0.5, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/13)*d**(-5))**(-35) assuming d is positive.\nAnswer: d**(2240\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 7635321*p - 30541236.\nAnswer: -3*(p - 2545103)*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 6) to base 16.\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/60 + 6*k**2. Let f(h) = h**2. Give x(f(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 425*c + 5317*c + 332*c - 853*c to a + r*c and give r.\nAnswer: 5221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-20) - (-53)\/(-10). Let y = t + 11\/2. Let n = 4.1 + -4. What is the closest to 1 in 1\/2, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, i: 1, y: 1, n: 1, s: 1, k: 2}. Give prob of sequence zn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-248)*-4 + (-1360)\/(-1860)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4118919807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -8. Let o = -5 + b. Solve 2*n = o*x - 23, -2*x - 7 = 3*n - 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x + 8. Let t(y) = 2*y - 4. Suppose -21 = -7*f + 4*f. Give f*t(p) + 3*c(p).\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -5 (b) -74\/9 (c) -1 (d) -4 (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -5, -52, 37?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16483 - 741706\/45. Find the common denominator of w and 38\/2215.\nAnswer: 19935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 + 73*c**2 - 34*c - 30. Determine j(36).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 4:25 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-5 - (-3 + -5)) + -4 + 12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**7\/147 + l**6\/35 + 3*l**5\/70 + l**4\/42 - l. Factor f(u).\nAnswer: 2*u**2*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 45*i + 71. Let j be s(-45). Suppose 85*b - 13342 = j*b. List the prime factors of b.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7*w + 38 = 2*w, 4*y + 2*w - 196 = 0. Suppose 5*f + 2*u + 6 = 43, y = 4*f - 3*u. Solve 5*j + 4 = f*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937637779.\nAnswer: 13, 149, 484067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 148748 divided by 154\nAnswer: 74374\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 7:10 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -19*p**3 - 3*p**2 - 5*p - 71. Let d(h) = 9*h**3 + h**2 + 2*h + 35. Let s(z) = -9*d(z) - 4*q(z). What is the second derivative of s(r) wrt r?\nAnswer: -30*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1299436473 to 3 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 212939913 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 7488247*n - 7488247*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 - 71. Suppose 14*y**3 - 5*y**d - 4*y**3 + 60 + 0*y**3 - 40*y - 5*y**3 = 0. Calculate y.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/(-10) + 21*36\/63?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -27*w - 7. Let s be y(-1). Suppose -7*f + 2*f = -s. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.2 (c) -2\/17 (d) -3961 (e) 66\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 9*a**2 - 17*a - 35. Give j(-5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 4*j**2 + 3*j + 1. Let n be m(3). Suppose 4*c - 2*y - n - 11 = 0, -c + 3 = 4*y. Suppose 28 = a - c. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1085 + -1080. Sort 1, -5, p, -3.\nAnswer: -5, -3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1406 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12561486 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: Which is smaller: -232159\/2 or -116079?\nAnswer: -232159\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 4*u, 5*i - 15 = -5*u + 3*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1042b5 + -a9?\nAnswer: -10436e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/5, 7, -1\/2, -6\/5, -227, 1\/22?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b. Let v(h) be the third derivative of 0 + h**2 + 0*h + 1\/30*h**5 + 0*h**4 + 0*h**3. Determine v(j(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7969 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/5 + -1 + 217\/155. Solve j*z - 6 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 343 + 61 = 4*x, 5*x + 455 = 5*i. Let s be (47500\/(-8))\/((-3)\/i). What is s rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = q - 6*q. Solve 3*x + 2*v + 6 = -6, 4*x = -3*v - q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.1 rounded to zero decimal places?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**3 - 58*b**2 - 87*b + 118. Determine o(-13).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -5*c**3\/6 + 17*c**2\/2 + 6*c. Let z be w(12). Suppose j = -4*a - 55, 2*a - 166 = 3*j + j. Are z and j non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 91*b + 130. Let x(k) = -179*k - 260. Let u(g) = 11*a(g) + 6*x(g). Differentiate u(j) wrt j.\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6 = -15. Suppose 10*k = o*k - 9. Let g be (5\/(-30))\/((-6)\/k). Which is the closest to -0.1? (a) 5 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 379, -0.1, 8, -58.\nAnswer: -58, -0.1, 8, 379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 531\/14 + 2670\/37380.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(3\/2)*k)\/k*k)\/k)**(-4\/5) assuming k is positive.\nAnswer: k**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 287*r**2 - 8*r + 20. Let x(i) = -2295*i**2 + 66*i - 165. Let w(h) = 33*o(h) + 4*x(h). Let u(k) be the first derivative of -k**3\/3 + 6. Give w(u(v)).\nAnswer: 291*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 3044*r + 170131. Determine o(-54).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by -127\nAnswer: -106\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9030 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -302, 286, 1762, 4126?\n\"Answer: 444*j**2 - 744*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -85*b**2 - 15*b + 5. Give n(1).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (5 - 8) - (-4 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 2*k + 363347. Let u(b) = -146*b - 2. What is u(x(r))?\nAnswer: -146*r**2 - 292*r - 53048664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -8*d**4\/9 - 14818*d**3\/9 - 753680*d**2\/9 - 768098*d\/3 - 58800 = 0.\nAnswer: -1800, -49, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106982\/145481 + -2\/2969. Find the common denominator of -1\/175 and k.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o + 2. Let y be h(1). Suppose q - 840 = -y*q. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4358641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 213*k*m**2*p + 894*k*m*p + 98*k - m**2*p + 7582*m**2 - 9*m wrt m.\nAnswer: 426*k*p - 2*p + 15164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6698759 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16794, -18318, -19846, -21378, -22914?\n\"Answer: -2*n**2 - 1518*n - 15274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 5 + 3)*(-o - o + 3*o) + 3 - 3 - 2*o)*(527*o**4 + 7*o - 517*o**4 - 4*o).\nAnswer: -50*o**5 - 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 1:38 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c1a (base 13) to base 15.\nAnswer: 47a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -13. Let d = -296 + 326. Let u = 36 - d. Solve -p*m + 3 = -u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o - 198595 + 198731 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7140*j**5 - 48*j**4 - 15*j**2 - 93911505*j wrt j?\nAnswer: 142800*j**3 - 576*j**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17\/3 (b) -0.2 (c) 2\/139 (d) 7 (e) 1 (f) 4 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 66?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -3, -1190, 0 in ascending order.\nAnswer: -1190, -3, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29551 smaller than 147753\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 + -3)\/(-1 - -2). Solve 2*n + 9 = w*r - 11, 3*n = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -4 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (6 + (-16 - (-17 - -7 - -2))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6112*j. Let w(l) = 3*l**2. What is w(u(h))?\nAnswer: 112069632*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etb when three letters picked without replacement from ebebteet?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*x - 260*x - 71*x - 1)*(-2*x + 6*x - x) to the form b + t*x + c*x**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/18*(0 + -2)*-1947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176176 + -53563.\nAnswer: -229739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 28829*r**2 + 2. Let k(o) = 27*o. Calculate k(p(n)).\nAnswer: 778383*n**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-1182)\/(-8) + 1\/4. Let h be (-3)\/5 - u\/(-90). Is (17\/4)\/(h\/116) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((551\/494)\/29)\/(943\/598)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1296, 1300, 1306, 1314, 1324?\n\"Answer: l**2 + l + 1294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y - 3. Let m be n(-2). Suppose 4*f + 2*o = -0*f + 24, -f + m*o = 5. Let j = f + 0. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 239861653 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdhh when four letters picked without replacement from {z: 4, f: 1, d: 1, h: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0123 - -0.02. What is h rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2140, -3095, -2846, -1393, 1264, 5125?\n\"Answer: 602*j**2 - 2761*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 800 = d. Suppose 2*v - d = -2*v. Let i(p) = p**3 - 2*p**2 + 7*p - 13. What is the remainder when v is divided by i(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -20*h + 1. Let v(n) = -433*n + 20. Let p(c) = -42*s(c) + 2*v(c). Let j(a) = 7*a**2. Calculate p(j(m)).\nAnswer: -182*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122313397 is divided by 621.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(128))**2)*2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1693755 = 704*s - 533*s. Calculate the highest common factor of s and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56691744 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 640*h**3 + 600*h**4 - 4\/3 - 238\/3*h - 3478\/3*h**2 = 0.\nAnswer: -2, -1\/30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 18706745.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -112402 divided by 3?\nAnswer: -112402\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -49\/3, 3, 23, -0.09, 7 in ascending order.\nAnswer: -49\/3, -0.09, 2\/7, 3, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q - 6. Let i be g(0). Let u be ((-5)\/4)\/5*4. Let r(j) = j**3 + 2*j + 1. Let n be r(u). Is i >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2226.28955689 - 0.6.\nAnswer: 2225.68955689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/20 - 13*i**4\/12 + 29*i**3\/6 - 15*i**2\/2 - 6*i. Let u = 8 - 23. Let d be f(u). Is -4\/3 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + d**2 + 2*d - 1. Let h be f(1). Let y(b) = -b**3 - b**2 - 2*b + 2. Let s be y(h). Solve 4 = s*v - v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758511 is divided by 1520?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from xxxfxmxtxfxxffxexxto.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**4 + o**3 + 3*o**2 - o - 2. Let v(d) = 39*d**4 - 12*d**3 - 39*d**2 + 12*d + 27. Let q = 3 - 5. Let j(u) = q*v(u) - 27*b(u). Factor j(m).\nAnswer: 3*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7*t = -144. Let u = -21 - t. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3729, -8015, -12301, -16587?\nAnswer: -20873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 - 2 + 2*z - 4*z - 2*z**2 to the form v + t*z**2 + a*z and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 23*k + 42. What is f(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) 2\/1513 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 2*p**2 - 4*p + 3. Let t be b(3). Let q = 4 - t. Let y(u) = -u**3 - 3*u**2 - 2*u + 4. What is the remainder when y(-3) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29223 = 14*r - 29251. Factor -3\/4*p - 1\/2 - 1\/4*p**r.\nAnswer: -(p + 1)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*r = -20, 2*r - 16 = -551*f + 549*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = g - 2*z, -4*z = 0. Suppose -1584 - 1146 = -4*a + 5*n, g = 2*n + 4. Round a to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121 and 2816?\nAnswer: 30976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4*k + 3*k - 14 = 0, -33 = 7*b + 2*k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1880189?\nAnswer: 1880189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/4)*t)\/(t**(1\/16)*t*t*t) assuming t is positive.\nAnswer: t**(-45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/11 or -746\/67?\nAnswer: -746\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -110, -716, -1784, -3314?\n\"Answer: -231*i**2 + 87*i + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 86*h**2. Let k(r) be the third derivative of 29*r**5\/60 + 2492*r**2. What is k(a(l))?\nAnswer: 214484*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssqs. Give prob of picking 2 s and 1 q.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2. Let k(h) = -3485487*h. What is k(s(r))?\nAnswer: 3485487*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -53*t**4 + 17 + 7 + 9*t**4 - 44*t**2. Let d(c) = -9*c**4 - 9*c**2 + 5. Let h(z) = -24*d(z) + 5*f(z). What is the third derivative of h(k) wrt k?\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 + 67*y**2 + 82*y - 177. What are the prime factors of t(-26)?\nAnswer: 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 95325 = -23011. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 63175*j**2 + 14*j + 1. What are the prime factors of i(1)?\nAnswer: 2, 5, 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/8 - 132\/96. Let l be (p + 4 - (-52)\/(-26))*-1. Let r(m) = -1 + 0*m - m + 0*m + 2*m**2. Give r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 7*l**5\/20 - 18*l - 2. Suppose 3*s + 13 = 4*v, -10 = -v + 5*s + 6. Determine b(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*d - 3*u - 5, -3*u - 9 = 0. What is the hundreds digit of ((-81)\/(-2) - 7)*(-8)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -0.7. Let y = 3 + -7. Let x(i) = i**3 - 5*i**2 - 7*i + 8. Let h be x(6). Which is the biggest value? (a) h (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-3))\/(2\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2727 - 2720. Calculate the greatest common factor of 2023 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p. Let g(i) be the second derivative of -7*i**3\/6 - 23*i. Determine k(g(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 52*f + 672. Let k be w(28). Let j = -0.13 - 1.57. Is k > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7316 >= -7336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**7*q*q)\/(((q**(1\/12)\/q)\/q)\/q)*(q*q\/((q*q**(-3\/4)\/q)\/q)*q*q*q)\/(q**(2\/11)*q) assuming q is positive.\nAnswer: q**(610\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 1026 - 2341 = 0. Calculate the remainder when 2409 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 - ((0 - 0) + 42)) - (-3575 + 3566)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*j, 0*d = -2*d + 4*j - 18. Suppose 0 = q - 3*q - 3*w - 9, -5*q - 5 = 4*w. Let h = q + -2. What is the highest common divisor of d and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (1\/4 + 1\/(-4)). Suppose l + 7 = -2*b, 0*b + 25 = 5*l - 5*b. Put 2, y, -3, l in decreasing order.\nAnswer: y, 2, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1187 - 1191. Sort 2\/3, z, 3, 0.5.\nAnswer: z, 0.5, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, -10, 6, 7, -1 in ascending order.\nAnswer: -10, -7, -1, 0, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 6 + 6)*(1558 - 3736*w - 1558).\nAnswer: -11208*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9923821 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 180 = -2*v, q + 2*q - 4*v - 125 = 0. Let t = 55 - q. Suppose -t = -9*s + 1. Put -4, -1, s in ascending order.\nAnswer: -4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.4, -2\/25, -0.5, 2\/15?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0462 + 0.9468. Let j = 41.907 + a. What is j rounded to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 524 = -l, 0 = -6*l + 7*l + j - 525. Is 39 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19106.\nAnswer: 2, 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -5, -25, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1. Let u(g) be the first derivative of g**2\/2 - 7*g - 9. Let j be u(6). Let m(x) = -3*x**2 + 3. Give j*m(b) + 2*p(b).\nAnswer: 3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 11*k + 440. Let c = k - -58. Find the third derivative of 15*z**3 - 15*z**3 - c*z**5 + 3*z**2 wrt z.\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20385, 18690, 16995, 15300?\nAnswer: 13605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 275\/4 + (-925)\/(-740). Solve k*u - 99*u = -29 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 22. Let g(w) = w + 28. Let m be g(0). Suppose -p = -3*r + m. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1 (b) -2 (c) 0.4 (d) -1.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 3*x**2 + 3*x**2 + (0*x - 2*x**3 + 0*x)*(-2 + 2 + 2) + (-2*x - 3 + 3)*(-28*x**2 - 59*x**2 - 16*x**2) to o*x + z + d*x**3 + j*x**2 and give d.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*p - 495*p = 5 - 426 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177 is divided by 85?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49173258*j - 12774229 wrt j.\nAnswer: -49173258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 618711?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5\/6, 4\/5, 0, 0.4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*t + t - 2569, q - 3*t = 1277. Calculate the remainder when q is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/12619189 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*sqrt(1573)*6 + (1 + sqrt(1573))*-6)**2.\nAnswer: 7260*sqrt(13) + 1415821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50d782 (base 14) in base 12?\nAnswer: ab585a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l + 4 = 0. Let k(h) = -4*h - 3. Determine k(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8273\/2373 - 98\/113. What is the common denominator of c and 143\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 12 - 7*a + 4 - a**2 + a - 6*a. Let u be v(-13). Let t(b) = -b**2 + 3*b + 3. Let k be t(3). Solve -s + k*m - 2*m = -1, 0 = m - u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.96 - -0.04. Let z = -6 + 3. Let x = z + n. Which is the nearest to x? (a) -0.2 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38943447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l + 17 + 159 = -62*l - 67 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 7*z**2 - 6*z - 5. Let g = 4 - 10. Let v be d(g). Let n(a) = a. Determine n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 10*h + 16. Let x be n(9). Suppose 2*b - x + 15 = 0. Suppose 0 = -5*t - 4*g + 32, 2*g - b = t - g. Solve -t*u + u - 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**3 - 290*d**2 + 2*d - 1. Let h(z) = 16*z**3 - 874*z**2 + 7*z - 4. What is -2*h(i) + 7*r(i)?\nAnswer: 3*i**3 - 282*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/24845 + 471709\/4298185. Sort -0.2, 5, -4, p in ascending order.\nAnswer: -4, -0.2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 202 = -2*c + 552, -3*r = 4*c - 275. Let m be ((-6)\/(-5))\/(2\/r). Suppose -m = -3*u - 2*b, 6*b = 4*u + b - 45. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 9 + 12. Suppose -w = -t*w + w. Solve -4*y - 20 = w, -5*m - 5*y + 20 = 60 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 5 - 1)*(-5 + 5 + 2*q) + (-2*q + 5*q - 2*q)*(-2 + 3 - 2))*(-2 - 1 + 6) to the form r*q + n and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 + n**2 - 2*n. Calculate the least common multiple of 3 + -8 + 32 + -9 and t(2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -500*k + 494*k. Let v(o) = -3*o**3 + 2*o**2 + 3*o + 3. Calculate v(k).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Suppose 0*h = 6*h - 72. Let a be 2 + ((-1)\/2)\/((-3)\/h). Solve j = -a*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-18) + (-724)\/(-18). Suppose 26 = 17*a - 42. Suppose c = -a*c + p. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 0.5 (b) -4 (c) 0.1 (d) -15 (e) 1\/1103 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-12)*24\/(-44))\/(-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -6. Let q(n) = 31*n - 5. Let c(a) = 21*a - 3. Let m(v) = 7*c(v) - 5*q(v). Is m(y) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (255 - 1) + 0 - (-2 + 4). Let a = 179 - g. Let l = -48 - a. What is the remainder when 123 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10976384.\nAnswer: 2, 29, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 290\/14 - 2\/(-7). What is the highest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14292*i**6 - 6*i**4 + 23*i**3 + 5*i**2 + 3207838*i?\nAnswer: 1715040*i**3 - 144*i + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-1) + -2279*45\/21465.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5677)\/1274 + (-4)\/(-56). Is -5 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0*v - 80. Suppose 3*g + p = 3, 6 = 2*p - 4*p. What is the least common multiple of v and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-225*1)\/(-3) - (4 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h + 23. What is b(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*p + 47 = 0, u + 510 = 4*p + 460. Let j = 4 - 4. Determine a so that 4\/11*a**u + j*a + 0 + 2\/11*a**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 658 and 56.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 113 - (-4 - (-173 - -41)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 3*l**4\/4 + 5*l**3\/3 - 6. Let g(i) = -i**2. Let q(x) = -f(x) - 3*g(x). Find the third derivative of q(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6*(-10)\/1. Suppose 13 = 4*o - c*r, 0*r + 9 = 3*o - 3*r. Solve 3*p + o - 10 = -5*q, 0 = 5*q - 4*p - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000046957113 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 4*z**2 - 131*z - 123. Let x be o(14). Solve -2*k = -x*k + 7 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*s + 5732, 4*s = 4*w + s - 7633. Suppose -2640 = -k + 16*k. Let g = w + k. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 18 + 6. List the prime factors of f + 12*(-8)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/8)\/(t**(-3)*t*t)*(t**0\/t)**(-28) assuming t is positive.\nAnswer: t**(231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 12250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -25*p**5\/4 + 25*p**2 + 72*p. Differentiate m(j) wrt j.\nAnswer: -375*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 408 - 462. What are the prime factors of t?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1 (c) -97.76325\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 10*c - 9. Suppose 4*k = 3*z - 6 - 36, -k = z + 7. Let j be p(k). Suppose 0 = -j*x + 2*x - 16. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-546)\/(-3094)*(33\/11)\/(-45)\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 5*r - 20 = 0. Let y be -20 - (-2 + 2 + r). Let l = y - -29. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/3650 and -71\/175.\nAnswer: 25550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 16*d - 117. Let n be t(10). Find the second derivative of 25*q**2 + 64*q + 3*q**2 + q**2 + 42*q**2 + n*q**2 wrt q.\nAnswer: 428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000035025 to 7 decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18? (a) -1\/6 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 46. Solve w*l + 20 = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 48*k**2 + 592*k + 25654. Calculate t(-47).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4126*f**3 + 15983*f**3 + 0*f**2 + 0*f**2.\nAnswer: 20109*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-3) - (-745)\/(-273). Let h = n + -5\/39. Which is the third biggest value? (a) h (b) 1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9631 - -9906. Calculate the remainder when j is divided by 139.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -18880*n + 37748. Determine l(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = q - 112, -233*n = -231*n - 4*q - 236. Calculate the highest common divisor of 48 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 394\/33633 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -481c5c + -1a?\nAnswer: -481c78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*k**4 + 58*k - k**4 - 51*k**4 + 13*k**4 + 3 + k**2 + 22*k**4 to m*k**2 + a*k**3 + n*k**4 + h*k + y and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/13680 and 119\/570?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 34. Let z be p(16). Let m(d) = d**3 - d**2 - d + 1. What is m(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -742440*t**3 - 42915?\nAnswer: -2227320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 537178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l. Suppose 4*d = -d, l = 3*i - 5*d - 12. Solve -3*n = -5*h + 3, 7 = h - i*n + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2919, -5833, -8741, -11643, -14539?\n\"Answer: 3*r**2 - 2923*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 474072171 to the nearest integer?\nAnswer: 21773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 1:05 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1087 - 3232\/3. Let y be (0 + 1 + 1)*7. What is the common denominator of l and (-16)\/y - (-1)\/(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 25*t - 60. Is 29 a factor of u(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h - 416*h = -57023. Calculate the remainder when 495 is divided by h.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 39, 41, 43?\n\"Answer: 2*n + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/10, -0.05, 3.5, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -5*v + 10, -14025*v + 5 = -2*z - 0*z - 13978*v + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -16. Let a = 8\/17 - 63\/170. Sort a, 2\/5, v in ascending order.\nAnswer: a, 2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 10:29 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 787.1927 millilitres?\nAnswer: 0.7871927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -14*l + 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1459 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/40*(-30)\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18870 + 6590 = -190*s - 398*s - 1000 for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/3565 and -43\/8510.\nAnswer: 263810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-7)\/(-21) - 1\/(-3). Solve 4*t = 16, 4*t - 32 = -2*z - q*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 360*v + 11 + 323*v - 2 - 713*v.\nAnswer: -750*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 37 + 51 + -48?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - z = 9, -20*r + 17*r - 181*z - 28 = -176*z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 0, -5\/4, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 961 and -0.312?\nAnswer: 961.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m + 160. Let t(n) = 58*n + 14. Let d be t(-1). Let k = m + d. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*197 - -2)*2\/(-5). Suppose -f = -8*q + 2. Suppose -5*n + 20 + 10 = 0. Calculate the remainder when q is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200.999705 - -201. Round g to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2632 and 1598?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 8*l**2 - 150*l + 1009. Is q(73) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43049 is divided by 4782?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -125\/216677 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 3)*(-9 + 15 + 14)*(1 - 1 - w).\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1722 - -3126. Calculate the greatest common divisor of 27 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 946571 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 2*n + 3*u, -59 - 11 = 3*n + 5*u. Let x be (30\/5)\/(-2 - -3). What is the tens digit of (n - 1)*x\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -1. Let m = 1.2 + a. Let n = 16 - 14. What is the second biggest value in m, n, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-40))\/(3\/(30\/(-14))).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3584 = -3277. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 10:21 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*t + 2*h, -2*t = -5*h - 10 + 2. Suppose -161 = -t*m - 29. Let o = -50076 - -50098. Calculate the highest common factor of m and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17270869805 - -13\nAnswer: -17270869792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/4 + ((-2079)\/(-6))\/21. Is 9 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 268137*o**2*v - 73*o*v + o + 8*v wrt o?\nAnswer: 536274*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m**3 + 8*m**2 - 5*m + 12. Let n(i) = 18*i**3 - 16*i**2 + 11*i - 27. Give -4*n(v) - 9*s(v).\nAnswer: 9*v**3 - 8*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/(g**(-7)\/g))\/(g**0)**(-1)*g\/((g**(1\/9)\/g)\/g)*g*g**(-4)\/g*g\/(g*(g*((g\/g**(-1\/7))\/g)\/g)\/g*g)*g*g*g**(2\/17)*g*g assuming g is positive.\nAnswer: g**(18061\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -837*p**5 - 3*p**3 - 6887*p + 5 wrt p.\nAnswer: -16740*p**3 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 346764 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341060 (base 7) to base 12.\nAnswer: 2ab62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:28 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fllwlqqhwcfccl. What is prob of sequence cfh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 6:46 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 + 3*r - 4*r + 56 + 9*r as t*r + n and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.46 - 6.36. Suppose -3*y + 3*r - 258 = 396, 3*r + 6 = 0. Which is bigger: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13635 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.9. Let q(l) = -285*l - 853. Let a be q(-3). What is the nearest to s in a, -1\/7, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156280226 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x - 5. Suppose -3*l + 4 + 13 = 4*z, -2*l - 2 = z. Let s = z - 7. Let p(a) = a - 1. What is s*h(u) - 5*p(u)?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4133517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 9 = -4*q - 1, -2*g = -2*q - 14. Let p be (-8)\/9 - 2\/q. What is the closest to -0.1 in p, 0.3, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*a - 52972 = 70*a. Is -336 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9606, 19210, 28814, 38418?\nAnswer: 48022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665451039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.54 and -116425061.\nAnswer: -116425060.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 2)\/3 - 85\/(-15). Let k be (1 - -1)\/(2\/3). Factor 20\/3*f**k + 10\/3*f - 2\/3 + 2\/3*f**5 - 10\/3*f**4 - s*f**2.\nAnswer: 2*(f - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3136 (base 10) in base 12?\nAnswer: -1994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 1. Let w(g) be the third derivative of 5*g**4\/24 + g**3\/2 - 4*g**2. Let z(f) = 6*l(f) + w(f). Differentiate z(s) wrt s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3985466 decades in centuries?\nAnswer: 0.03985466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a208 (base 13) in base 12?\nAnswer: a8743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d - 3*d - 2*d - 3*d**3 + (-4 - d**2 + 4)*(3*d + 9 - 9) + d**3 - 3*d**3 - d**3 - 6*d**3 + 3*d**3 + d**3.\nAnswer: -11*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 4:54 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q - 5*q + 4*q to m + y*q and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 - 202*a - 101. Determine b(-54).\nAnswer: -857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13973906 to the power of 1\/2, to the nearest integer?\nAnswer: 3738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 570\/8 + (-30)\/72*144\/(-80). What is the greatest common factor of l and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 147069.216ms?\nAnswer: 0.00170219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2. Let q be p(-1). Let v be (-1)\/(9\/(-6))*q. Suppose -3*u - 2 = z, -4*u + v*z = 3*z + 2. Sort -0.1, u, -3\/2.\nAnswer: -3\/2, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18027454 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1090, -1592, -2094, -2596, -3098?\n\"Answer: -502*y - 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 0.5, 27, 4, -1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and (24\/(-9))\/(2\/(-36))?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) + -4*(sqrt(68) - sqrt(68)*-2)) - -6*((sqrt(68) - -3*sqrt(68)) + sqrt(68)))\/(2*-5*sqrt(144)*-2))**2 + -3.\nAnswer: -367\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/u)**(12\/5) assuming u is positive.\nAnswer: u**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -63*k**5\/5 + 1884*k**4\/5 - 10584*k**3\/5 + 13194*k**2\/5 + 2919*k\/5 - 414 = 0.\nAnswer: -3\/7, 1\/3, 2, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + ((-1 + sqrt(1053) + 4)**2 + sqrt(1053) + ((sqrt(1053)*-5)**2*1 - sqrt(1053)))*3.\nAnswer: 162*sqrt(13) + 82163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13645*a + 368422. What is g(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -26. Suppose 4*o = 2*p + 1262, -o - o + 2542 = -4*p. Let h = p + 1928\/3. Are h and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12101883 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -1\/11, -5, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-24) - (-4)\/(-64)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -25254995.\nAnswer: 12627497.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 164283240 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 3, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -34. Let m = 8983\/36076 + 9\/9019. What is the third smallest value in m, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3894559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 + 128. Find the common denominator of 67\/22 and 7\/c - (-1632)\/(-242).\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - 47. Calculate the remainder when 48 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24041800 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10089, 9869, 9443, 8811?\nAnswer: 7973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.1498144801 and -40?\nAnswer: 37.8501855199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1489*x**3 - 7613*x**2 - 53635984*x.\nAnswer: -8934*x - 15226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-1\/5)*y\/y**(-2\/15)*(y\/y**(-1\/4))\/y**6 assuming y is positive.\nAnswer: y**(-169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2276, 18050, 60872, 144266, 281756, 486866?\n\"Answer: 2254*x**3 - 4*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/8 + 791*k**3\/2 + 31565*k**2\/8 + 39425*k\/4.\nAnswer: k*(k + 5)**2*(k + 3154)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2089 to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v**2 - 323*v + 434. What is the remainder when 747 is divided by a(45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -25.9864. Let b = -0.3094 + v. Round b to 2 dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*l + 485 = -l, 0 = 4*z + 5*l - 455. 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: Differentiate -7940*l - 57743.\nAnswer: -7940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**2 - 115*v**2 - 52*v**2 + 0*v**2 + 2*v**2 + 0*v**2 + (0*v**2 - 3*v**2 + 2*v**2)*(1 - 1 - 3) + 4 - 4 - v**2.\nAnswer: -158*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Suppose i - a - 22 = 0, -i + 114 = q*i - 4*a. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5253 - -5250. What is the second smallest value in 0.1, k, 0.18, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -24*j**3 + j + 1. Calculate the remainder when ((-50)\/(-5))\/((-6)\/(-57)) is divided by g(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 3*o**2 + 2*o - 12. What is b(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 207.551 - 206.6. Let w = u - -0.049. Is w < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213270 is divided by 93.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.97 - 0.97. Let x = 89 + s. Let v = -91.9 + x. Which is greater: 0.37 or v?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569918256.\nAnswer: 2, 3, 11873297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c - 540 + 180 = 0. Let x be 3\/2*16\/6. Sort 0, c, x in ascending order.\nAnswer: c, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15 - 4) + -4 + -4. Suppose 4*a + g*k = 11, 2*k - 2 = -3*a + 6*k. Sort -4, a, -1 in decreasing order.\nAnswer: a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-63)*12*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*g = 2, 4*z + 35 - 43 = 2*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*g = 264*g - 7006. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 44*j + 232. Let r(s) = 21*s + 116. Let t(v) = -4*g(v) + 9*r(v). List the prime factors of t(16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m = -4*w + 3, -w = -4*m + 12. Suppose w = 58*z + 305 - 1117. Solve 4*n = 3*c + z, -2*n = -4 - 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-136)\/(-24) - 3\/(-9). Solve 3*u = x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/3))\/k**(2\/5))**(18\/13)\/((k**(7\/2)*k**(-1))\/(k**(-1\/8)\/k**2)) assuming k is positive.\nAnswer: k**(-2213\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13919*x + 588616 = 7521*x for x.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 + 7*w**2 + 31*w + 8. Give f(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/10505 and 57\/619795.\nAnswer: 619795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**3 + 214045*v**2 - 4068570*v + 3854520 = 0.\nAnswer: -42828, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1338*q + 2089. What are the prime factors of i(-4)?\nAnswer: 7, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -796 - -816. Solve -5*i = -0*i - n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (25 - 591\/12)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19 + 1 - -2 - 0. Suppose -a = -2*a + q. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6554237581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4556, -12812, -21068?\nAnswer: -29324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = y - 3*y. What is the second derivative of 2*l**4 - l**2 - 2*l + 3*l**4 + l**y wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 862.8162 centuries?\nAnswer: 1035379.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26\/(-65))\/((-2)\/10). Solve -4*r + y*r = -t + 8, 2*r = -4*t - 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*h + 1355 - 1356 = 0, -5*t + 35 = -5*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t + 11356 = 33656. Let l = 1516 - t. List the prime factors of l.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6000072625 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/12 - (-1 - (1 + -5))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86350 divided by 3925?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1323023222 (base 4) to base 14\nAnswer: d1c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/63 (b) 0 (c) -3 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 16?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 - 80*l + 70. What is o(19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -63. Suppose -w = q - 17, -3*w - q - s = -5*w. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 43*l**3 + 512*l**2 - 2069*l - 23. Calculate w(4).\nAnswer: 2645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, f: 1}. Give prob of sequence qfqq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7326 and 28083?\nAnswer: 168498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*m**2 + 9*m**4 - 50*m**2 - 3*m**3 + 16 - 24*m**4 wrt m?\nAnswer: -360*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 183 = 3*c, 83 + 135 = 4*c + 2*q. Suppose -2*p + c = -0*p. Let a = p + 10. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a**(2\/15)*a))\/a**10)**(-1\/24) assuming a is positive.\nAnswer: a**(137\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174614, 349234, 523854, 698474?\nAnswer: 873094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/13? (a) -1\/4 (b) -2\/15 (c) -82669 (d) -0.1 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-102)\/42 + 7 - 4. What is the third smallest value in x, -17, -0.04?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 4983 - 5955. Let g be ((-12)\/2)\/(1\/(-14)). Let k = g + v. Calculate the remainder when 16 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 + 2 = 0. Let g = -2.2 + 2.3. Which is the biggest value? (a) r (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6043096 divided by 1510774\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5*h + 11 = g, 3*g = 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2700*f - 6 = 2702*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.9924 + 0.0076. Let w = 234.1 + -246. Let o = w + d. What is the closest to 1 in o, -0.5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(2*-2)*(-1803)\/3005\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9757227 to the nearest ten thousand.\nAnswer: -9760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/981540 and -173\/1140.\nAnswer: 981540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 3*u**2 + 6*u - 4. Does 21 divide c(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50775 or -50786?\nAnswer: -50775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 0.4, -13 in increasing order.\nAnswer: -13, -4, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 98741.1 years?\nAnswer: 1184893.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t = 859 - 36 - 156 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + 17 - 73 = 0. Let u(t) be the third derivative of 0*t - t**2 + 0*t**3 - 1\/42*t**o + 0*t**5 + 1\/210*t**6 + 0. Suppose u(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9996*r**3 - 149*r**2 - 4465961*r?\nAnswer: 59976*r - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 24*k = 210*k + 693. Let b = -25\/2 + 51\/4. Are k and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*j = 2752*j - 3178 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -53, -86, -123, -164, -209, -258, -311?\n\"Answer: -2*o**2 - 27*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 + 49 = 115*h - 70. Suppose -n = -2*m + 4*m - 84, -3*n + 52 = m. Let j be m\/25 + (-2)\/(-5). Solve 12 = -2*r - h*f, -j*f + f = 2*r + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvbmbbv. Give prob of sequence bm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 (base 12) in base 6?\nAnswer: 4503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*f + f**3 + 2 + 2*f**2 - 4*f**2 - 63*f in the form k + l*f**3 + i*f + y*f**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 3*x**2 + 2. Let b = -49 + 44. Let c(h) = 2*h**3 + 7*h**2 - 4. Let f(j) = b*z(j) - 2*c(j). Let r(o) = 2*o + 2. Let k be r(-2). Give f(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -3*x + 7*x + 30343 - 30324, 4*i + 4*x + 88 = 0 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -30139 times 64\nAnswer: -1928896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -309*b**2*x**2 + 14*b**2 + b*x**2 + b - 933*x**2 + 2 wrt b?\nAnswer: -618*x**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -418\/2685 + 4\/179. Let o = 247.6 + -247.1. Which is the closest to g? (a) o (b) 1\/5 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {z: 1, q: 1, v: 1, t: 1, h: 1, a: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -23.8 + 284.764\nAnswer: 260.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 m, and 1 y when three letters picked without replacement from ohmyjyyyoommyohhhyy.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 7 + 1 = 0. Let t(d) = -3*d + 45. Let m be (6\/5)\/(12*7\/1120). Let l be t(m). What is the nearest to h in 4\/7, l, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*q - 266*q = -w - 136*q + 40, 20*w - 19*w + 14 = 2*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = -3*i. Suppose 0 = -5*n - p + 21, -i*n + p + p + 10 = 0. Sort n, 6, -4.\nAnswer: -4, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14576 (base 12) to base 2\nAnswer: 110111100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -84814, -169627, -254442, -339259?\n\"Answer: -c**2 - 84810*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*z = -383*z + 12220363. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68927244.\nAnswer: 2, 3, 431, 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 3\/(1\/(-6)*-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -28. Let t be (-7)\/(-1) - p - 0. Let g(c) = c**2 - 8*c. Calculate g(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-8 + 2 - (3 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328 (base 9) to base 4.\nAnswer: 10031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7459, 7458, 7457, 7456?\n\"Answer: -y + 7460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 26.128326.\nAnswer: 29.128326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4357012691 to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18624 + 52*z + 18624)*(-7 + 1 - 5).\nAnswer: -572*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 1. Let v(w) = 2*w + 9. Let f be v(-6). Determine q(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 9:24 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3174 - -3?\nAnswer: 3177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-85)\/(-5) + -1 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51 - c?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 10*q - 10. Let m be l(6). Suppose 0 = -2*y - 2*a, -5*y - 7 + 22 = m*a. Solve 15 = -y*p + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 15*j - 4. Let k be y(7). Let l = k + -97. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7 - 16 + 4*h + h**2 + 2. Let k = 8 - 14. Let b be m(k). Calculate the highest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q + 3*q - q + q**3 - 3*q**2 to the form m*q**3 + t*q + k*q**2 + n and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 598233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 - (4 - (-2 + 0)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 53893646, 107787292, 161680940, 215574590, 269468242, 323361896?\n\"Answer: g**2 + 53893643*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 1440.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101 - -1001?\nAnswer: -1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.2, 2, -26.656 in increasing order.\nAnswer: -26.656, -4, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -405 divided by 81?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3578.637 millilitres to litres.\nAnswer: 3.578637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*j*v + 2*a**2*j + 318*a**2*v - 3*a**2 + 162*a*j*v + 20*a*v - 3*j*v wrt a.\nAnswer: 6*j*v + 4*j + 636*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 309843 and 318147?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by 93.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 98*j**3 - 3*j**2 - 3*j - 1. Let s be r(6). Suppose -d + 2*m + 5039 = s, 0 = -3*d + m - 48001. Round d to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 0 - -3 - (-2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -261*h**2 - 2136*h + 28. What is q(-8)?\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**2 - 95*h + 170 = 0.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 88. Let v(h) = -h**3 + 4*h**2 + 7*h - 4. Calculate v(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 49*b - 390. Let s be j(-10). Sort s, 3, -21, 4 in increasing order.\nAnswer: -21, s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 574?\nAnswer: 4018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.87 - -0.46. Let g = -0.11 - v. Let i = 282 - 282.1. Which is the closest to 1? (a) 5 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 37*f**2 - 104*f + 2. What is the remainder when 906 is divided by v(-34)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = -t. Let z be (t - 0)*27\/(-6). Sort 2, -1\/4, z.\nAnswer: -1\/4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzcvkvkkckcqsckskk. Give prob of picking 1 c and 2 k.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 32. Suppose -2*m + 1 = -d. Suppose 14 = 2*j - 2*u, 3*j = -u + m + 1. Which is the smallest value? (a) j (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4792)\/(-3)*(130\/4 + -7). Let z = o - 85032. What is z rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0309 - -1.0309. Let h = -0.01 + -0.14. Which is bigger: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03211 - 0.3.\nAnswer: -0.33211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 158612.1 months in years?\nAnswer: 13217.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 9*y**2. Let x be j(9). Let d be 6*6\/12 + -1 + -7. Which is the closest to x? (a) 0 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181548 - 181053. Let i be 1\/((-1)\/(-54)) + 1. Calculate the highest common factor of v and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440\/(-36) + (((-1690)\/(-117))\/2 - 7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 11*m - 11. Let r be x(3). Let i = 55 - r. Let q = 268 + i. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2474378 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.2, 52, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/4 - 1107*j\/2 + 20169\/4.\nAnswer: -3*(j - 9)*(j + 747)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -44.7. Let s = b + 1.53. Let a = -0.03 + s. What is the smallest value in -0.4, -3\/7, a?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttmtmt. What is prob of picking 3 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 33*a - 110. Let b be m(-28). Let d(y) = -y**2 + 31*y - 25. Let f be d(b). Put f, -2, 2 in ascending order.\nAnswer: -2, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143 a factor of 2210562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 - 10 - 353*u**4 - 2*u**3 + 10 + 2*u - 575*u**4 as d + l*u + q*u**3 + k*u**2 + b*u**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**3 + 138301*l**2 - 34575*l = 0.\nAnswer: 0, 1\/4, 34575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**2 - 5\/2*b**3 + 10*b - 20 = 0. Calculate b.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by -3937.\nAnswer: 64\/3937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + -10 + -1 + (15 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/sqrt(3))\/sqrt(2) - (sqrt(19) + 2*sqrt(475)))**2 - (sqrt(76)\/(2*sqrt(4)) + 1) - ((-3*sqrt(152)*-6)\/(6*-3*sqrt(8)))**2.\nAnswer: -sqrt(19)\/2 + 1880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7078 - 7014. Let r = 1135 - 1198.64. Let s = h + r. What is s rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1122828741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1054*u - 366*u + 1 + 528*u - 167*u - 951*u to the form h*u + f and give h.\nAnswer: -2010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/3996 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 - 2*h - 1. Suppose -5*i - t = -6*t, -2 = 4*i - 2*t. Determine u(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31ce - 4?\nAnswer: 31ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z**2 + 17*z + 17. Let v(w) = w**2 - 2*w - 2. Let h(i) = 6*f(i) + 51*v(i). Let r(l) = -l**2 - 30. What is r(h(q))?\nAnswer: -9*q**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 4*z + 2*z)*(z**2 - 2*z**2 - 3*z**2) + (-295 - 343 - 145)*(0*z**3 - z**3 - z**3).\nAnswer: 1574*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-2)\/4 + (-12 - -13). Let z be 6\/(-24) - (-5)\/156. Let h = z + 2\/39. What is the third smallest value in -0.4, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(2*(-2)\/(-468)). Let q = -7 - f. Suppose -3*w = 41 - q. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5634 and -61820.\nAnswer: -56186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25322661, 0.2, 3, -1\/2, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -168479 or -168481?\nAnswer: -168479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 33, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j - 3. Let v(s) = -22*s + 8. Let q(c) = 5*v(c) + 16*x(c). Let t(b) = -b + 3. Let d(n) = 3*q(n) + 8*t(n). Let a(u) = -3*u. Give a(d(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:59 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 - 5) + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178.4 + 4.6. Let q = -182.5 + u. Which is the second biggest value? (a) 0.2 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1634142898?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.79 and 62315.7?\nAnswer: -49229.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 6*x**2 - 3*x. Let m be i(-5). Let q = m - -10. Put q, -4, -2 in descending order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 458724.499 to the nearest ten thousand.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 87 = 5*v. Let t(r) = -r**2 + 6*r + 2. Let m be t(6). Suppose -276 = -l - m*l. Calculate the highest common divisor of v and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 218*m**3 - 5*m**2 - 6*m + 12. Let v(t) = -655*t**3 + 17*t**2 + 19*t - 41. What is -10*o(q) - 3*v(q)?\nAnswer: -215*q**3 - q**2 + 3*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from oooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14\/9, -0.5, 2?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-4) - -3)*306\/(-81)*3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2806 and 14306?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1987775 divided by -397555.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*i - 44 + 41 + i to the form x*i + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35879?\nAnswer: 35879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2714451, -5428882, -8143293, -10857678, -13572031, -16286346, -19000617?\nAnswer: -21714838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295629 is divided by 3213?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 43, 60, 73, 82, 87?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 73, 70, 65, 58, 49?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1035642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 660 and 3740.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423 + 161 + 232*n - 242.\nAnswer: 232*n - 504","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-3*6)**2 - (sqrt(153) - (sqrt(153) + (0 + sqrt(153))*-4)).\nAnswer: -12*sqrt(17) + 137700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 7*y - 1. Let z be a(-7). Let j = z - 50. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.5 or 1\/43?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 14. Let f be z(-6). Let j = -28.6 - -23.6. Let u = -4 - -4.4. What is the third smallest value in j, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -240*p**2 - 1636*p - 1053. Determine j(-6).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-39)\/(a*a\/(a*a*a**1*a)*a\/a**(-1)))\/((a**1)**(2\/23)*a**(1\/9)*a**(1\/3)) assuming a is positive.\nAnswer: a**(-8183\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 364 = n, v + n = 2*v - 116. Let k = 117 - v. Let c(l) = -3864*l + 8. Let u be c(k). What is u rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/2 + 15858*i + 7267920.\nAnswer: -3*(i - 11012)*(i + 440)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 318960 and 38880?\nAnswer: 17223840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 504 - 499. Let r(x) = -x**3 + x + 1. Let h(q) = 6*q**3 - 5*q**2 - 6*q - 5. Let p(c) = h(c) + 5*r(c). Give p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02812 and 4078654033?\nAnswer: 4078654033.02812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 - -1 - (3 + 0 + -19 + -62 + 81)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 + 2*j**4 - 5*j**4 + (-j + 0 + 0)*(-3 - j**3 + 3) + 5*j**4 - 15*j**2 + 15*j**2 - 25 + 4 - 3 + j**3 + j**4.\nAnswer: 5*j**4 + j**3 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*((sqrt(132)\/(sqrt(60)\/sqrt(5)) - sqrt(11)) + sqrt(11)).\nAnswer: -2*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 - 9*l - 26. Let j(z) = -7*z**2 - 17*z - 57. Let a(t) = -2*j(t) + 5*o(t). Calculate a(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 5*r - 554. Let l be -2*2\/(-30) + (-2771)\/(-255). What is the highest common factor of l and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 56 and -2284\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126 + -119 + 1 + -1 + (-91 - -23).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*t + 1347. List the prime factors of t.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 + 4*j + 2*j**3 + 602*j**4 - 568*j**4 + 0*j - 3*j - 2 in the form r*j**3 + m + u*j + a*j**4 + z*j**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -226 + 350. What is the highest common factor of 217 and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -30*i - 5*b, -402*b + 10 = -4*i - 403*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -516, -1435, -2354, -3273?\n\"Answer: -919*r + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 363 divided by 121\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19a6 - -19?\nAnswer: 1a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(208)*-2 - sqrt(208))**2 + 1 + (0 + sqrt(208) - sqrt(208)).\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/84*-3 + 882\/(-680). Sort -0.2, -4, w, -1\/12, -2 in increasing order.\nAnswer: -4, -2, -0.2, -1\/12, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 39. Suppose 0 = -2*h + h, u*h = -2*c + 8. Suppose 2*w - c = 0, -3*r + 180 = -r + w. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/9 - 39904*f\/9 = 0. What is f?\nAnswer: 0, 19952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 9) in base 16?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - g - 1. Suppose 5*f + 2*v = -2*v + 74, 2*f = -v + 32. Let b be (-27)\/f*(3 + -1). Give p(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaallaaalaaaaaaaaa. What is prob of picking 3 l?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 11. Suppose 0 = 2*m - 5*u + 42, -5*m - 46 - 28 = 3*u. Let k be (1 + -3)\/(4\/m). Does 18 divide p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24834*y**2 - 24834*y**2 - 3574543*y**3 + 3574541*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 121 - -346?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34545114 to the power of 1\/2, to the nearest integer?\nAnswer: 5878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 16 = -5*t. Let p be (1\/t - 0)*54. Calculate the highest common factor of 90 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 33*s + 8. Let f(n) = -6*n**3 + 2*n**2 + n - 3. Let q be f(-2). Let d = -47 + q. What is the units digit of v(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -163 - -164. What is the lowest common multiple of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 510790 and 910.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2707561 + 3?\nAnswer: -270755a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 47. Round h to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + d. Let o(n) = -9*n**2 + 6*n - 8. Let s(q) = o(q) - 6*t(q). Differentiate s(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.189605ug in kilograms?\nAnswer: 0.000000000189605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*((a**4*a)\/a)\/a)**4\/(a**(-5)*a**31))**(-41) assuming a is positive.\nAnswer: a**246","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 35. Solve p = t + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -5, -0.5, -2\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 10:29 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**3 - f**2 - 2*f + 6. Let b be i(3). Let h = 95 - b. What is the smallest common multiple of (3 + 0)\/((-2)\/h) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, a: 1, g: 1, q: 4, m: 2, o: 5}. What is prob of sequence mqoo?\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/7, 2, -21, 6366, -5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145*y**6 + 2572*y**2 wrt y?\nAnswer: 17400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 126 divided by 14\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1320 and 24?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -3)\/(2 + (4 - (-39)\/(-6))). Let b(j) = 16*j - 6. Give b(a).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*j + 99*j - 53*j in the form f + c*j and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1191, 1278, 1447, 1716, 2103, 2626, 3303, 4152?\n\"Answer: 3*l**3 + 23*l**2 - 3*l + 1168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -360*h + 261. Let d(p) = -359*p + 271. Let l(k) = 5*d(k) - 6*z(k). Differentiate l(a) wrt a.\nAnswer: 365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06164 + -4936.93836. Let k = 4937.2083 + t. Let r = k + -0.21. What is r rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 49. Let x be 2 - ((-111)\/4 + z\/4). Calculate the highest common divisor of x and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23997.\nAnswer: 3, 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*d**2 + 0*d**3 - 2*d**6 + 0*d**3 + 15*d**2 wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5761)\/14)\/(1*(-1)\/20). Let c = u - 3889. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 4*j**2 + 7*j - 10. Let o be y(-7). Suppose i - 1 - 19 = 0. Suppose -2 = -k + i. Calculate the greatest common divisor of o and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*n - 34*n = 56*n - 209*n - 2120 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + x = 4*x - 6*x - x - 48, 46*f = 5*x + 2745 for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 8\/7, -1\/5, -52?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/20 - (-674)\/1320) + (-9)\/36\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1881088 and 148964.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 5*g = -60. Put 5, -1, g, -3 in decreasing order.\nAnswer: 5, g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 + t**2 + 2*t. Let a(q) = -390*q**3 + 10*q**2 + 20*q + 3892. Let m(o) = -a(o) + 10*f(o). Differentiate m(r) with respect to r.\nAnswer: 1290*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212364 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 547547 and 18.\nAnswer: 547565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10863, 21430, 32005, 42588, 53179, 63778, 74385?\nAnswer: 85000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*y + 2*a, -2*a + 1 = -3*y + 9. Let z(v) = -v**2 + 4. Let p(o) = 3*o**2 - 11. Let u(f) = 4*p(f) + 11*z(f). Determine u(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.15 and -7132?\nAnswer: -43861.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtt when three letters picked without replacement from {t: 5, d: 2, l: 7}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/47*(0 - (-2)\/8). Suppose d = u + u - 618. What are the prime factors of u?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 107871 or 14778531\/137?\nAnswer: 14778531\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1460600, 2921218, 4381858, 5842532, 7303252?\nAnswer: 8764030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(72\/33 - 2). Let w be -1 + 0 - (3 - a). Is 16 a factor of (1\/3)\/(1\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 291 - 275. What is the smallest common multiple of 20 and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.5 + 23. Let d = n + 9.7. Let r = d + 8.863. What is r rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 2. What is w(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 113*i**2 - 610*i + 243. Give o(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 29. Solve -m = 4*h - 5*n, 2*n + 5 = h - 2*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/((-43)\/1032).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a milligram in micrograms?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9)**(-3\/4)\/(w**7\/w**(-10)) assuming w is positive.\nAnswer: w**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -0*o - 13957692. Let u(c) = -c**3 + c**2 - c + 2510577. Let p be u(0). Suppose o = k - p. What is k rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 22*r - 4. Let n be m(11). What is the second biggest value in -1\/9, 9\/4, n?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -255*n + 20. Let s(a) = -256*a + 17. Give -6*q(l) + 7*s(l).\nAnswer: -262*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10855 and 455.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 140 = 9*q. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x + 4. Let l(v) = -v + 1. Give 5*d(g) - 20*l(g).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 4. Let m = t - 11. What is the nearest to 1 in 5, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 16934636*o**3 - 71695491047758*o**2 - 143390931291612*o - 71695457178489.\nAnswer: -(o + 1)**2*(o + 8467317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -15709846\nAnswer: -7854923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620 divided by 15159.\nAnswer: 20\/489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3363642499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 700*x**2 + 2*x - 5. Let u(f) = 1051*f**2 + 3*f - 7. Give 5*u(m) - 7*w(m).\nAnswer: 355*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 89\/492?\nAnswer: 89\/492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 12*a**2 + 11*a - 4. Suppose 0 = 30*i + 19*i + 17 + 522. Determine d(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppxarapparpp. What is prob of picking 1 r and 1 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 589 and 4351?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 52. Let s be z(-25). Suppose 0 = -w - 0*w + s*w. Suppose -4*t = -u + 4, -u + w - 2 = 2*t. Which is the nearest to t? (a) 0.1 (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/12 and 29\/312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 6 = -4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001003 rounded to six dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 95980037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*g**2 - 1128*g**2 - 707*g**2.\nAnswer: -2245*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-935)\/20 + 3\/(-12). Let k = -143\/3 - z. Which is bigger: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 9 - (20 + 49 + -86)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*l + 5*d, -9 = -1301*l + 1298*l + d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -315 divided by -63\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(2*l**2 + 2*l - 2*l)*((-5 + 5 - 5*l)*(-3 + 5 - 1) - 2*l + 6*l - l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30806.\nAnswer: 2, 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267364 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 128096.62 to the nearest one thousand.\nAnswer: 128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 83823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188 and 2982526?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 10.8, -3, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.861, 2, -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2592) - (-2*sqrt(2592)*-1 + sqrt(2592) - sqrt(2592)))\/((sqrt(72)\/sqrt(2))\/sqrt(4)*2)*-1.\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -122, -218, -332, -470?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6048) + sqrt(6048) + (sqrt(6048) - 3*-1*sqrt(6048)))\/(3*sqrt(18)\/sqrt(3) + (sqrt(216)\/sqrt(4))\/sqrt(9)) + -4)**2.\nAnswer: -144*sqrt(7) + 2284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7188 and 0.1?\nAnswer: 0.07188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*s + 5*o + 21, 10 = -5*s - 5*o. Let l be 58\/145*5\/1. Let u(y) = -9*y + 13. Let k be u(1). Solve 2*j - k = 3*r, -7*j = -l*r - s*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1347 + 1325. Sort -17, -5, q in descending order.\nAnswer: -5, -17, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*d - 34, d + 0 = -2. Which is smaller: h or -20?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3612 (base 10) in base 8?\nAnswer: -7034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 39*o - 62. Give d(-38).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5330998 to the power of 1\/2, to the nearest integer?\nAnswer: 2309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*(-28 + 2). Let u = 9 - h. Let b(a) = -2*a + 8*a - 3 + 7 + a**2. Determine b(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 68, 92, 120, 152?\n\"Answer: 2*n**2 + 18*n + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -576891, -5 in increasing order.\nAnswer: -576891, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2. Let n(i) = -42021*i**2. Determine n(v(z)).\nAnswer: -42021*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1*42\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 542*x**2 + 90*x - 83. List the prime factors of n(-13).\nAnswer: 3, 5, 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6382718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-576)\/(-88) + (-1415356)\/223421\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818751558?\nAnswer: 2, 3, 136458593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/21 + 22015\/(-199920).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, h: 3}. Give prob of picking 2 h and 1 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 30465*l - 121812.\nAnswer: -3*(l + 4)*(l + 10151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 64 = -7*l, -5*m + 122*l + 34 = 125*l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/75 and -29\/225?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vccvcvc. What is prob of picking 2 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 15*v - 113*v**2 + 98*v**2 + 33*v - 9 = 0.\nAnswer: 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -79, -293, -869, -1987, -3827, -6569?\n\"Answer: -30*c**3 - c**2 - c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112547 and 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6685\/(-382) + (-189)\/(-14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*-5*(104\/39)\/(-8)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 120, 315, 630, 1059, 1596, 2235, 2970, 3795?\n\"Answer: -m**3 + 66*m**2 + 4*m + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.65 + -18.15. Let s = g - -18. Put -3, -5, -0.3, s in increasing order.\nAnswer: -5, -3, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105827260 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477116 = 5*m - m. Let k = m + -339279. What is k rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -523140*h**2*x**3 + 1422832*h*x**3 wrt h.\nAnswer: -1046280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1814\/19 + 9089\/95. Factor -9\/5 - 6\/5*h - b*h**2.\nAnswer: -(h + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3213 - 5960. Let l = o - -4734. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27c5b1b - -57?\nAnswer: 27c5b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4255 (base 14) to base 15.\nAnswer: -35cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 2*v**2 - 11*v**2 - 7*v**2.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 13. Let q = 10.6 - 6. Let a = b + q. What is the nearest to -1 in 0.5, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33310242 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 6*v + 3. Let g be m(-6). Let x(a) = a - 4. Let n be x(4). Let r be (18 - 0) + 1 + n. Solve -r + 4 = g*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6182653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 5898*h**2 - 3*h**3 - 3*h**3 + 3*h - 5896*h**2 to the form k*h**2 + x + r*h + l*h**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*z - 48*z - 132. Let u(l) = -2*l. Let w(p) = -24*p + 1. Determine z*w(m) + 22*u(m).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -12.1. Suppose 0 = -p - 0*p + 1. Let j be p\/2*4\/(-10). Put 2, j, u in descending order.\nAnswer: 2, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18798.29148 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1340055 (base 6) to base 8.\nAnswer: -222703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 566.0994kg?\nAnswer: 566099400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/(-148) - 2*82\/528?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 b when three letters picked without replacement from hgbhghbbb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -309, -462, -619, -780, -945?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**4\/24 + j**3\/3 - 10*j**2. Let m be 2 - (0 + 8)\/2. Let o(v) = 2*v + 3. Calculate m*o(x) + 3*i(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25\/222 - -2\/37. Let s = 1 - 1. Suppose s*d = d. Which is greater: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/546*559*((-36)\/84)\/(2\/7)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Let h(i) be the second derivative of 11*i**3\/6 - 47*i**2\/2 + 6*i + 3. Let w be h(4). Let u(m) = -12 - 2*m + 12 + m. Give w*u(d) - 4*q(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2667776 divided by -3\nAnswer: 2667776\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d - 26. Let l be j(9). Let q(m) = 1692*m**3 + m**2 + 3*m - 3. Is q(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -4 (c) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12887195*g**3 - 2*g**2 - 6116660 wrt g.\nAnswer: 77323170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/34 - 143\/510. Let o = 0.87 - 2.09. Let x = -0.22 - o. Which is smaller: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -5, 9, -2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Let v(s) = -s + 5. Let n be v(5). Suppose 3*w + 2*w - 10 = n. Let z(x) = x**2 + 2*x**2 + 0*x**2 - 4*x**w. Calculate j(z(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 412 + -520332?\nAnswer: -516620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 347*b**6 - 2*b**5 - 345*b**2 + 2*b.\nAnswer: 41640*b**3 - 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 940*d**2 + 51*d + 22. Let n(g) = -705*g**2 - 37*g - 16. Let h(m) = -11*n(m) - 8*u(m). Let l(t) = -t. Calculate l(h(q)).\nAnswer: -235*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 19*b + 25. Suppose 0 = 2*o + 32. Let s be q(o). Is -24 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -574.9 + 574.899990439. Round g to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1084*a**3 - 1783*a**3 - 2 + 369*a**3 + 3 - 127*a**3 + 2*a**4 to m + o*a**2 + u*a**4 + p*a**3 + t*a and give p.\nAnswer: -2625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16612*f + 33299*f - 16686*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340566 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2711*b - 391. List the prime factors of a(-7).\nAnswer: 2, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119*k**5 - 2172*k**2 + 26082691*k.\nAnswer: -2380*k**3 - 4344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 26. Suppose 4*u + 15 = -89. Let w be a(u). Solve w = g + 5*n + 13, 4*n = -g + n - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11\/(-4))\/(1\/(0 + -4)). Suppose -r = -s - 9. Are 4\/7 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 115.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2764 + 2764.3. What is the nearest to 0.1 in i, -0.07, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*s + 16, 3*s = 2*r - 3926 + 3922 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpajjppopjhp. What is prob of picking 3 j?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5439 by -111.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*30\/70*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3352813169.641 from 5.\nAnswer: 3352813174.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 72, 11 in ascending order.\nAnswer: 5, 11, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q + 2. Let r = -33 - -31. Let g(f) = 12*f - 9. Let c(o) = r*g(o) - 9*z(o). Let p(k) = k + 0*k - 5*k. Give p(c(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370536 is divided by 690.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (-1*sqrt(187))\/sqrt(11))**2*-3*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(3)*1 - sqrt(3) - sqrt(3)) + sqrt(27)\/sqrt(144))**2.\nAnswer: 1587\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-42))\/(6\/14). Let x = 86 - 67. Which is the nearest to f? (a) -1 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3302569.80893 from -0.23.\nAnswer: -3302570.03893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1149 times 1.9394\nAnswer: 2228.3706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z**2 - 343*z - 2433. What is x(-9)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983012602?\nAnswer: 2, 11, 13, 3437107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3259\/(-342195))\/(6\/(-10))?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(15)\/sqrt(5) + 4.\nAnswer: 4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*r + 3*k, -2*r + 57 = 5*k + 12. Suppose 0 = -5*h + 25 - r. Let w(x) = -x + h*x - x + x + 5. Give w(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*p**2 + 76*p**2 - 34*p**2 + 8*p**2.\nAnswer: 187*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 141450 + 4?\nAnswer: 141454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1048 or -1?\nAnswer: -1\/1048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 9 = -3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*2\/2 - (-28 + 25). Suppose -m*f = -4*u, -5*f + 3*f = 4*u + 16. Let q(s) = 2*s**3 + 2*s**2 + 3*s + 1. Give q(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/63 and (22 + 0)\/(784\/(-8))?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54838745 to the power of 1\/2, to the nearest integer?\nAnswer: 7405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5227451 - -5233804.798. Let z = f - 6347. Let j = z - 6.9. Round j to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 779 divided by 1.\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 2, k: 1, g: 4}. Give prob of picking 2 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w - 1. Let h(g) = -121*g - 3. What is -h(p) + 4*o(p)?\nAnswer: 101*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11143444 - -104?\nAnswer: -11143340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18 + 0)*56\/24. Suppose 5*v = 57 - b. Solve 10 = -v*p + 2*q, -3*q + 2 = -2*p - 13 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35158 - 35158 + 3*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0)\/((-56)\/168)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145643?\nAnswer: 145643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101241 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*z**3 + 5*z**3 - 9*z**3 + (0 + 0 - 2*z)*(z**2 - 1 + 1) - 3*z**3 + 2*z**3 + 2*z**3 + 0*z**3 + z**3 - 4*z**3 + 2*z**3 - 3*z + 3*z.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 13*s**4\/3 - 14*s. Let c be i(-1). Suppose 4*a = 164 + c. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:41 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3205*b + 3205*b - 67*b**2 + (-1 + 1 - b)*(-2*b - 1 + 1) to a + q*b + o*b**2 and give o.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.2 - -1.2. Suppose -72 = 6*f - 18*f. Let p = f + -33\/5. Which is the nearest to 2? (a) r (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1846 and 2301?\nAnswer: 326742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4249628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 150, 155, 162, 171, 182, 195?\n\"Answer: a**2 + 2*a + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 14*q**3\/3 - 9*q + 12. Find the first derivative of g(p) wrt p.\nAnswer: 28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*l**3 - 49*l + 544*l**3 - 3 + 4 + 54*l - 121*l wrt l?\nAnswer: 2376*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392 divided by -348?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(539) + -1 - sqrt(539)) + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 1. Let j(g) = -2*g**2 - 10*g + 26. Calculate -j(a) - 10*n(a).\nAnswer: 2*a**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 31 - (15 + 4 + -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*k*z**3 - 10*c**2*k*z - 2*c*k*z**3 - 3*c*k*z**2 + 12*c*z**3 wrt c?\nAnswer: 2*k*z**3 - 20*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104883023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 177 and 7817323?\nAnswer: 23451969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 - 25*c**2 + 7*c + 9. Let i(g) = g**3 + 12*g**2 - 3*g - 4. What is -7*i(d) - 3*n(d)?\nAnswer: 2*d**3 - 9*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/11 + 2488*s\/11 - 773768\/11.\nAnswer: -2*(s - 622)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 3, 4, 13 in descending order.\nAnswer: 13, 4, 3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 239 = 86. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.23 + -1.67. Let u = n + 1.89999943. Round u to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -c - n, -325 - 85 = -2*c - 4*n. Let t be (-1124)\/(-3) + 2\/6. Let o = t - c. Is 31 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-364)\/8*772\/(-2509).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*l - 22, -86*l - 27 = -83*l. Suppose -2*v + 6 = -4. Sort 0, v, -8, p.\nAnswer: -8, p, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4707 - 4738 - (-1 - 82)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/4 and 169\/61782.\nAnswer: 123564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10857812591 and 31.\nAnswer: -10857812560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*v**4 - 20*v**4 - 49*v**3 + 6*v**4 + (-45 + 8*v**2 + 2*v + 45)*(-2*v**2 - 2 + 2) in the form j + x*v**4 + m*v + i*v**2 + k*v**3 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9644688 divided by -401862.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c - 1 - 40*c + 5 - 3.\nAnswer: -23*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 - 72999*l**2 - 730065*l - 1825225 = 0. Calculate l.\nAnswer: -5, 73009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39909036, 79818075, 119727114?\n\"Answer: 39909039*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 182 (b) 24 (c) -421\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.064513 rounded to three decimal places?\nAnswer: -47.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 3*i + i - 291 = -0*h + i, 0 = -5*h + 2*i + 241 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u - 83 + 216 - 36 - 48 - 5*u. Determine a(21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5ac1 (base 14) to base 12\nAnswer: -9209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + sqrt(192))*-1)**2 + (6*sqrt(192)*-2)**2 + -3.\nAnswer: -80*sqrt(3) + 27862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(43026*v**2 - 27*v**5 - 43026*v**2).\nAnswer: -27*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 2*w**4 - w**3 - 2*w**4 + 1 - 2*w**4 - w**2 as n + v*w**3 + h*w**4 + m*w + y*w**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-4 - -52 - (-5 + (0 - -13))) - 4?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101\/13 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718*j + 7 = 9*y + 717*j, -3*y - 7 = j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 274 - ((-2)\/20 + (-18)\/20). Let n = 300 - d. Solve 8 = -n*z + 21*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 7*d + 3. Let y be (-4)\/2 - 3*-7. Suppose 2*i + 2 = 0, u + y = -u - 5*i. Let g be b(u). Put -0.2, -4, g in descending order.\nAnswer: g, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2057) - (sqrt(2057) + -3 + sqrt(2057)))*5 + ((sqrt(2057) - (sqrt(2057) + 0 + sqrt(2057) - sqrt(2057))**2) + -3)*1)*-6.\nAnswer: -1386*sqrt(17) + 12720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 369509 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/((-5)\/(-100)). Let q(p) = p**3 + 10*p**2 - 6. Let z be q(i). Let y = 10 + z. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**4\/6 - 79*h**3\/3 - 78*h**2 - 429*h. Factor w(x).\nAnswer: -2*(x + 1)*(x + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -3, 67, -257 in descending order.\nAnswer: 67, 35, -3, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoccf. Give prob of sequence ocf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0783*47\nAnswer: 3.6801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*j - 7*j. Let m be 0 - (-3)\/(-2)*j. Solve -6*n = -m*n + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -1, 0.4, -11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -10.9 (c) -3\/7 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*p - 3*k, -p - 2*p + 5*k = -44. Let j be (-9)\/(36\/16) + 54. Let h be j\/12 - 1\/6. What is the highest common divisor of h and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) -8.185 (c) 0.3 (d) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f - 16. Let x be c(-7). Suppose x*l = -0*l + 30. Let b(h) = -h**3 + 5*h**2 + 6*h - 6. Give b(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25025531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 6585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 + -2) - (549 + -536)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0.5. Let o be (200\/(-26) - -8)\/(-1 + 3). What is the nearest to -2 in o, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -15792584?\nAnswer: 15792579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 - 3*p**2 - 2*p + 2. Let y be h(-2). Let g = 27 + -22. Suppose -8*a - y = -g*a. Round a to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-160)\/24)\/(-5))\/((-2)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3318.966 to the nearest 10.\nAnswer: -3320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -4)*2\/(-4). Suppose -3*b - 2*b + 110 = w. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-18))\/(2*1*33\/(-154))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105.903 + -101.76. What is i rounded to 1 decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2725213?\nAnswer: 431, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 120511 and -0.032?\nAnswer: -3856.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.28863 or -1130?\nAnswer: 0.28863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -250*-8\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5346323 (base 7) in base 13?\nAnswer: 19a10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -27. Let u = 16.13 - i. Let s = u - -0.87. Which is the closest to -1? (a) s (b) 0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 6 = 6*m. Solve -m*y - 7 = -2*j, 2*j + j + 22 = -2*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -107, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2*(-103)\/(-24)*(3 - 4) and 22\/309?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, m: 1, c: 8, e: 1, p: 4}. What is prob of sequence phch?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1759*h + 2316 + 8204 = -34 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-57)\/13*(11 - (3536\/(-39))\/(-8))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 3 + 2*x**4 - 4*x**4)*(-5 + 3 + 0) to m*x + s*x**2 + f*x**3 + n + i*x**4 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19342869.\nAnswer: 3, 7, 13, 70853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/377 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1633220993 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 39, 45, 1\/8, -0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 12:02 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*s + 5581 = -6396. Is s smaller than -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 139800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21976217.\nAnswer: 19, 1156643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*j - 22. Let g(n) = 847*n**2 - 5*n - 1. Is g(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28716, -28713, -28710, -28707, -28704, -28701?\nAnswer: -28698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118 - 94 + 79 + 3 + 2 - 7 + (4 + 1 - 4)*(1 + 2 - 1))*(-3*g + 5*g - 4*g + 0*g + 10*g).\nAnswer: 824*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -5, -4, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7906 + -0.02325\nAnswer: 7905.97675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*b - 2*b + 154. Solve a + 2*u + 9 = 0, 0 = a + 3*u + 6 + b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 153 + 3?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/(-7) - (-4)\/(-14). Let r be (9\/m)\/((-6)\/8). Let j be (-1 - 46\/(-14)) + r. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/14*4\/3)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3264188 to the nearest integer?\nAnswer: 1807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 51 + 14*h - 5*h**3 - 66 - h**3 + 7*h**3 + 11*h**2 + 39. Determine b(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.5 - -20.2. Let w = u + 0.30407. Round w to 4 decimal places.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 37*d**2 - 27*d + 108. Is c(-23) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68743707427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7 + 3*q + 2*q - 5 + 13. Let u be x(0). List the prime factors of -1*(44\/(-1) - u).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6872 or 2501?\nAnswer: 2501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-1))**(7\/3)\/((q**3\/q*q)\/(q\/q**(-1)))*(q**(-1\/5)*q*((q\/(q*(q**(-4)*q)\/q))\/q)\/q*q)\/(q**0)**(-1\/63) assuming q is positive.\nAnswer: q**(77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 1)\/(6\/3). Let b be 3*q*18\/(-27). Suppose -b*u - u + 149215 = 4*j, u = 3*j - 111895. What is j rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 4 - (3 + -1). Let d(x) = x**2 + 3*x + 3. Suppose 12 = -z - 3*z. Let r be d(z). Sort r, q, -3 in decreasing order.\nAnswer: r, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10043460 and 12852.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 123 and 16.0969.\nAnswer: 1979.9187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 4*a**2 - 3. Let h be d(-3). Let c(z) be the first derivative of 8\/5*z**5 - 3*z**4 - z**2 - 1\/3*z**h + 8\/3*z**3 + 0*z - 2. Factor c(j).\nAnswer: -2*j*(j - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + ((-6)\/(-14))\/((-12)\/(-350))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**10*w**(6\/23))**(-32) assuming w is positive.\nAnswer: w**(-7552\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 6 - (2 + -1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from lllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -35*a**2 + 7449*a + 1486. What is o(213)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u\/(u\/u**(1\/9)))\/u)\/u)\/(u\/((u\/u**(-2\/25))\/u)*u) assuming u is positive.\nAnswer: u**(-407\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4075, -8204, -12439, -16834, -21443?\n\"Answer: -9*w**3 + w**2 - 4069*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**5 - 94*h**4*u - 15227*h**3*u - 4*h**2*u - h**2 + 4928*h*u + h + 10 wrt h.\nAnswer: -60*h**2 - 2256*h*u - 91362*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9*y = -l + 44, 2*l = -2*y + 8. What is the nearest to -2\/87 in -5, y, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17412 = -9*b - 6306. Suppose b = 9*s + 388. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2570334 plus 16.11813?\nAnswer: 2570350.11813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -31018097645.\nAnswer: -31018097645.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -855*y**6\/2 - 255*y**2 + 3*y + 1654. Find the second derivative of v(a) wrt a.\nAnswer: -51300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5378879.6 * 5.\nAnswer: -26894398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 18 (c) 0.04 (d) -1\/4 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3713 + -3709. Solve -o = -f*z - 20, -3*o + 2*z + 4 = -6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 30. Suppose 0 = -5*w + w + g. Let k be 9\/(-24) + (-81)\/(-24). Solve -3*a + x - w = a, -2*a = -k*x + 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 6. Determine o(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4608359946.\nAnswer: 2, 3, 85339999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150 + -86. Let q = w + -64.4. What is the third smallest value in 0, q, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 218\/17 - 216\/17. Which is the second biggest value? (a) -4 (b) 2\/7 (c) 2\/291 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -l. Suppose 6*k - 251 = k - 3*t, l*k - 2*t = 143. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 3) to base 8\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 408*m + m**2 - 22*m**3 + 313*m**3 - 2*m**2 - 411*m to p*m**2 + b*m**3 + w + z*m and give b.\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-7 - 52\/(-8)). What are the prime factors of 2995\/b + ((-45)\/(-18) - 1)?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*v**4 - 28114*v**3 - 624792*v**2 wrt v.\nAnswer: 600*v - 168684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101.20913 - -0.06913. What is f rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 12*m**2 - 8*m - 1. Is f(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 5*o - 2. Let h be z(-7). Let p = h + -10. Suppose p*b = 4*b - 20. What is the remainder when 39 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41890 divided by 142?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14476041319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 102 + 3 = 0. Suppose -f = 40*j - 45*j + 15, -3*f = -l. Solve -w = -j*d - 11, 20 = -4*w - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/8)*u\/(u*u\/u**(8\/11)*u*u) assuming u is positive.\nAnswer: u**(-167\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.3. Which is the nearest to -1\/4? (a) y (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/110*-4*(-44)\/(-4). Let y(s) = -s**2 + 6*s + 6. What is y(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.1, -22, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 122*j - 3. Let l(r) = -14711*r**2 + 14707*r**2 - 4*r + 4*r. What is l(g(z))?\nAnswer: -59536*z**2 + 2928*z - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -666 (b) -1\/3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 700962.\nAnswer: 7710582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 10*c**2 - 2*c. Calculate f(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-10 - (1 + -10 + 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24050 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1991815\nAnswer: -1\/398363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**2 - r - 2. Let f(z) = 11*z**2 + 2*z + 4. Suppose 15 = 3*a - 3*c, -2*a + 5*c = -3*a + 17. Calculate a*h(o) + 3*f(o).\nAnswer: -2*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -1079791566?\nAnswer: 1079791566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.4 and -10255288.\nAnswer: -10255283.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (77 + -37 + -37) - -27?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4632)\/394878*(-77)\/28*4?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 578759868, 578759869, 578759870, 578759871?\n\"Answer: n + 578759867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 343114?\nAnswer: 343122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**7\/3 + r**5\/30 + 19*r**3\/2 - 42*r**2 - r. What is the third derivative of w(j) wrt j?\nAnswer: -1680*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-6)*3 + (-16)\/32. Which is bigger: -6\/457 or f?\nAnswer: -6\/457","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (6 + 1 - 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + 2 + sqrt(931) - (4 + (sqrt(931)*3 - sqrt(931))))**2 + 3 + -5 + 3.\nAnswer: 14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 67*x**2 + 4*x - 218. What are the prime factors of n(13)?\nAnswer: 3, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 12:01 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(15\/(-6) + 3). Suppose -f*x + 0*d + 20 = 3*d, x - 5 = 3*d. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64838.\nAnswer: 2, 17, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 300.3501 grams?\nAnswer: 300350100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2256\/42 + (-4)\/(-14). Let d = -300 + h. List the prime factors of 6\/10 - d\/15.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*328731\nAnswer: 986193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -34, -3, 4, -4, -11, 41854 in descending order.\nAnswer: 41854, 4, 3, -3, -4, -11, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, u: 5, n: 1, h: 10}. What is prob of sequence ahun?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j + 6*j - 20*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38, 61, 80, 95, 106, 113, 116?\n\"Answer: -2*c**2 + 29*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 - 1159*b - 2635. What is t(292)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5)*(-3 + 1 + 3)*(380 + 74*g - 380) in the form a + r*g and give r.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + sqrt(75) - (-2*sqrt(75) + 1)) + -1*((1 + sqrt(75) + sqrt(75))*5 - sqrt(75)))**2.\nAnswer: 180*sqrt(3) + 2709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 21 + 3*s**4 - 10*s**3 - 2*s**4 + 3*s**2 + 9*s**3 + 8*s**3 + s as t*s**2 + b*s**4 + r*s + x*s**3 + f and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2795300 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 129 = 3*l, 0*l - 5*n = -2*l + 100. Suppose 3*z = -5*f + 131, 4*f - 104 = 3*z - 5*z. Let m = l - f. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 1 - 4\/3*p**3 + 1\/2*p**2 - p. Let v(k) = -9*k**2 + 2*k - 2. Suppose j - 15 = 4*j. Determine j*u(m) + 2*v(m).\nAnswer: 2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3904319 - 0.424?\nAnswer: -0.8144319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/51 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 440.9944 - -0.0056. Let g = u - 441. Which is the nearest to g? (a) -0.1 (b) 0 (c) 5 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020891651 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1467563.1 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.663078512 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1136780781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 700093053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100911 divided by 33637\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -110124, -220224, -330302, -440352, -550368, -660344, -770274, -880152?\n\"Answer: f**3 + 5*f**2 - 110122*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = 2*n - 3*n, -w = -3. Let k be 0\/(5*(-6)\/(-15)) + 26. Solve 2*f - 4*f + 5*s = 23, f + 5*s - k = n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 19 - 4 = 0. Let q(y) = -s + 1 + 27*y**2 - 4 - y + 9. Is q(1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 7*k - 1. Let m be a(-3). Let n = -5 - 0. What is the third biggest value in m, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(190)*-1 + sqrt(190) - sqrt(190)))\/(-6*sqrt(10)*-2).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4 + (25\/(-4) - -3). Sort 3.5, 0.1, c.\nAnswer: c, 0.1, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c + 3*f - 1236 = 0, 2*c = -4*f + 628. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 1 (c) -3 (d) -0.2 (e) -1\/5198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15145551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1681 is divided by 191.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 34*q - 35*q. Which is the third biggest value? (a) q (b) -0.4 (c) -0.41 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -110, -107, -104, -101, -98?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-7)\/(7\/(-148)). Let t be (-2)\/(-9) + o\/(-36). Let w = t + 15. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28302 - -10283. Let d = 252149\/14 + z. What is the common denominator of d and -61\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcbjhjhx. Give prob of sequence mb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**8\/480 + 4*n**7\/315 + n**6\/90 + 23*n**4\/12 + 9*n. Let x(r) be the third derivative of b(r). Factor x(q).\nAnswer: 2*q*(q + 2)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/18115 - -289833\/126805. Factor 2\/7*x**3 + 0 + n*x**2 + 0*x.\nAnswer: 2*x**2*(x + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653779 a multiple of 1366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69857609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28 (b) -4 (c) 73570\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 6) to base 3.\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.046 less than or equal to -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 9*u - 360. Let q = 4 + u. Let x = q - -110. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (852\/(-6958))\/((-15)\/7)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from aaaaaaaabaaabaabaaab?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(-5\/2)\/a)\/a)\/(a\/((a*a**29)\/a)*a)*(a*a**(-2\/75)*a)\/a**(1\/67) assuming a is positive.\nAnswer: a**(255857\/10050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 - t**2 + 2*t**2 + 0*t + t.\nAnswer: t**2 + t + 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -651 + 1134. Let f(p) = -483 - 29*p + i. Let z(a) = -2*a. Determine z(f(t)).\nAnswer: 58*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 divided by -17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53162418 greater than 53162418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.395 + 461.605. Let y = 462.554 - h. Let p = 25.546 + y. Round p to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*c - 5. Let t(v) = -v**2 + 7 + 3*v**2 + c*v**2 + 5*v**2 - 2*v. List the prime factors of t(4).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 32 + -1122 + 1116.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -2*i - 72. Suppose -2*o + 6 = 3*x - 0, 0 = -i*o - 12. Solve x - 19 = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.83427ml in litres?\nAnswer: 0.04983427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w + 12*w = 2*w. Let i = -1597 - -14359\/9. Which is the closest to -2\/7? (a) w (b) i (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 488, 1\/4, 4\/9?\nAnswer: 488","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 1, q: 2, d: 1, g: 2, i: 1}. What is prob of sequence mei?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 15*i**2 + 11*i + 46. Let g be l(14). Suppose -g*a - 180 = -244. Calculate the lowest common multiple of 36 and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:17 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*d = 5 - 17, -4*d = 5*t + 16. Suppose 0 = 2*c + 3*m - 16, -3*c + m - 3*m + 14 = t. Suppose -4*g + 130 = -c*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415 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: Let h be (385\/220 + (-6)\/8)*-4*1. Let n(k) = k**3 + 9*k**2 + 13*k - 4. Give n(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -4, 11, -3, -18, 2 in increasing order.\nAnswer: -18, -4, -3, 2, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by 1?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -84, -98, -128, -174, -236?\n\"Answer: -8*x**2 + 10*x - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16245952210 - -16245950717.9999399. Let y = -0.3139 + -1491.6861. Let v = b - y. What is v rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/5 + (-363)\/(-15). Let x = 10 - l. Let n be 12\/(-10)*175\/x. What is the greatest common divisor of 6 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b + 41233 - 1271332 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43546.\nAnswer: 2, 21773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8.9 (b) -3 (c) 1\/10 (d) 31 (e) 0.2 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 18 + 18 = 0. Let j = 52 + -38. What is the smallest common multiple of j and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-8) - 57\/(-60))*15. Let w be (-2)\/(r\/(-3))*(-45)\/(-5). Solve -u = -0*u - b, w*u = -3*b + 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 4*z**2 - 3*z. Let m be x(-4). Suppose 0 = -5*u + 2*b + 31, -b = 3*b + m. Suppose 5*n = -f + 2*n + 42, -u*f = -5*n - 250. Is 24 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 3*j**2 + 2*j + 1. Let f be o(-3). Let n be (-1)\/f + (-507)\/(-15). Let g = n + -19. Calculate the greatest common divisor of 120 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 20 = -4*p, -5*w + 190 = 5*p. Let v be 10\/5 - (16 - -1). Let b = -9 - v. Calculate the highest common divisor of b and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/13 + 305877076*b\/13 - 11695098202788722\/13 = 0.\nAnswer: 76469269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10111 - 22110?\nAnswer: -11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + d + 26, -5*d + 1710647 = -2*q + 1710615 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/17117 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 79\/12*o**4 + 0*o + 0*o**3 + 0 - 31\/60*o**5 + 85*o**2. Find the second derivative of f(h) wrt h.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(150))\/sqrt(3))\/(-1*sqrt(160) - sqrt(160)) + 5*-5*-5*(sqrt(5) + sqrt(5)*-1) + -3.\nAnswer: -3 + sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 23*g - 6*g + 35*g - 2*g. Let u be 47\/(-5) - (-68)\/170. Let t be m(u). Round t to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4871, 3822, 2773, 1724?\nAnswer: 675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*s - 108*s - 11*s - 7*s + 82*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 36*f + 387. Let l(c) = c**2 + 9. Let q(g) = 3*l(g) - z(g). Let q(m) = 0. Calculate m.\nAnswer: -6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3))**2*-1 + sqrt(60)\/(sqrt(84)\/sqrt(7)).\nAnswer: -5 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 1:46 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 39 = 5*t, 23*t + 27 = -4*g + 73 - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 + 2*w + 63. Let o(m) = -2*m**2 - m - 32. Determine -6*n(p) - 11*o(p).\nAnswer: 4*p**2 - p - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2146874308 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xypg when four letters picked without replacement from {g: 1, j: 4, p: 1, y: 3, x: 2, o: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 782705 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 - 15 - (-1)\/(-1). Let a be 3\/(q\/(-5)) + -1*1. What is the biggest value in 0.2, a, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 k, and 1 s when four letters picked without replacement from {f: 5, x: 5, d: 3, s: 4, k: 2}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7419\/920 - 379\/46. Calculate the common denominator of 12\/54 + 829\/(-612) and t.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-12)*(1 + 10\/(-4)). Let h = 9 - z. Solve -4*r - 4*b = -20, -h*r + 0*b = 2*b - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.9 and 944426.\nAnswer: -12183095.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2 - 122*c - 124 = 0. Calculate c.\nAnswer: -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 821.6 + -758. Let a = c - 22. Round a to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*3\/(-3)*1. Let d = -4 + 16. Suppose l*k - d = -k. Solve c = -k*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/2, -0.2, 0.2, 1.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*h - 65*h + 3350 = 0 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73399, -151049, -228699, -306349?\nAnswer: -383999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, v: 2, z: 1, p: 10}. Give prob of picking 2 p.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 138 + 233. Let y = -219 + u. Let v = y - -286. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8149*r + 57033*r + 2418*r + 31175*r.\nAnswer: 98775*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -15 - (-1 + -4 + 4) - -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 341899.426 and -254.\nAnswer: 341645.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7149*q + 12736*q - 57 + 56.\nAnswer: 19885*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 869\/8 at least as big as 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -213 - -242. Suppose -f*a + 1970 = -19*a. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1045*i - 2722. Let v be u(-3). What is the greatest common factor of v and 708?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100100 - -100001110011000011?\nAnswer: 100001101001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323689 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(19) + sqrt(19) + sqrt(76))**2 - sqrt(19)) + sqrt(19)) - (sqrt(19) + 1)*1)*-6*4.\nAnswer: 24*sqrt(19) + 36504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -638 or -0.487?\nAnswer: -0.487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 454977675*k**2\/8 + 12228795*k\/4 + 328683\/8.\nAnswer: 3*(12315*k + 331)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + (-1*sqrt(1872))**2.\nAnswer: 1869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - 3*m)*(2432 - 706 - 1228).\nAnswer: -1494*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2509 - -2506. What is the nearest to -7 in f, 0.06, -0.1, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) -3 (c) 25 (d) -4 (e) 2896\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/4 + 75*t**3\/4 - 124077*t**2\/4 - 10563987*t\/4 + 16403193\/2 = 0. What is t?\nAnswer: -127, 3, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007498437 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 10 - 3*d + 2*d. Suppose f - 2*f + 3 = 0. What is the remainder when k(7) is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -52*v**3 + 7*v**2 + 22*v + 15. What is h(-2)?\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 6:15 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -67892688, -67892682, -67892672, -67892658, -67892640?\n\"Answer: 2*l**2 - 67892690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-15))\/((-4)\/447970) + -126 + 123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggp when three letters picked without replacement from {p: 1, g: 3, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 131*f - 2157. What is i(-15)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2298, -4776, -7254, -9732, -12210, -14688?\n\"Answer: -2478*u + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21300 (base 4) to base 6\nAnswer: -2520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let v(t) be the first derivative of 22*t**2 + 95. What is v(o(k))?\nAnswer: -44*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29813 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 409 - 202 - 795*p + 245*p - 207 in the form s*p + c and give s.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (16\/(-14) + 0). Let n = -17 + 16.55. Let y = 0.05 + n. Put y, p, -2 in descending order.\nAnswer: p, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2. Let q = 0 + -13. Let c = q - -13. Let r(k) = -5*k**2 + c*k**2 + 4*k**2 - 3*k**2. What is n(r(o))?\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor t + 4*t**4 - 24*t**2 + 17*t**2 - 3*t + 5*t**3.\nAnswer: t*(t - 1)*(t + 2)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpqqpq. Give prob of sequence qqpp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6187?\nAnswer: 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3\/7, 0.02, -10\/7, -2\/19, 0.5, -3\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 423?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 115102184 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + w = 6*w - 15, 0 = -5*i + w + 26. Suppose s = -1 + 4, -i*o + s + 4977 = 0. Suppose 3*t = -4*q - q + 1247, o = 4*q + 2*t. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85949 (base 10) in base 15?\nAnswer: -1a6ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 21*q + 62. Let m be p(18). Let o be -5*(2\/m)\/(18\/72). Let s = 15 - o. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.619 + -1.681. Let t = -1.24 - 0.06. Let i = o - t. What is the third smallest value in 2, -2\/5, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 18. Suppose -17 + 107 = 4*z - 2*y, -4*z = 4*y - 72. Calculate the remainder when z is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 4, 1\/19, -2, -37 in decreasing order.\nAnswer: 4, 1\/19, -1\/4, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16146 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/5 - 177949*m**4\/5 + 7917440303*m**3\/5 - 87074583047*m**2\/5 + 189965185296*m\/5 + 284957386596\/5 = 0. Calculate m.\nAnswer: -1, 6, 88969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10723, -11352, -12401, -13870?\nAnswer: -15759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1001604*i**3 - 500812*i**3 - 500804*i**3.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/((-1)\/(-2)) - (101 - 75).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*f + 0*f + 1 + 3 - 2.\nAnswer: 45*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-20) - 192\/(-20). Let d be 15\/s + 10\/4. Suppose m + 5*p - 13 = 0, 2*m = -3*m + d*p - 80. Which is smaller: -13 or m?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11945*x**2 - 5972*x**2 - x**3 - 5973*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -16 - 9) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + 5*-2*sqrt(114))\/sqrt(6).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9808 - -9810. Solve -2*k - 10 = 0, -x*j + 39 = 5*k + 70 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0851 + -382.9149. Let s = -382.999999403 - x. Round s to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 146 - -136503?\nAnswer: 136652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23145600 - 4?\nAnswer: 23145563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17917 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15084082 is divided by 3230?\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/5338827 and -109\/821358.\nAnswer: 10677654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 204814 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 5*l**2 - l + 1. Let o be p(5). Let r be o + (0 - 28)\/(-4). Let h be 4\/18*(-2)\/(-4). Which is the second biggest value? (a) h (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38286 divided by 54?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.29162, 6, 3\/5, 2\/3?\nAnswer: 0.29162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2 - 17*d + 32. Let b be m(-7). Let t = -9 + 72. Suppose 0 = -b*z + z + t. Calculate the highest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 256 = -27*d + 54. Sort d, -2, -317.\nAnswer: -317, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77478 and 703.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109551?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z = -3*z - 126133 + 848928. Is 212 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4 + 2283074*q**3 - 1303104439289*q**2 - 2606224860116*q + 3909327016332 = 0?\nAnswer: -3, 1, 1141538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/8128 and -23\/160.\nAnswer: 40640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -23*j**2 - 327*j - 356. Calculate g(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 p, 1 f, and 1 u when four letters picked without replacement from {u: 6, f: 1, l: 4, p: 5}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 8*t**2 - 9*t + 13. Let r be l(7). Let y be (3\/2)\/(30\/100) + r. Suppose -y*v = -v. Which is greater: 1\/105 or v?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -58 + -1 + 7 + -6. Let g = 25 - o. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 5.0964179?\nAnswer: -5.4964179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/11172 and 83\/3724.\nAnswer: 11172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/34*(-1122)\/(-264))\/(-2*2\/(-104))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12898 + -8906. List the prime factors of c.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -22*j**3 - 318*j**2 - 12*j + 5016. Let l(g) = -26*g**3 - 317*g**2 - 14*g + 5015. Let r(y) = -7*k(y) + 6*l(y). What is the derivative of r(p) wrt p?\nAnswer: -6*p**2 + 648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 74066*a**3 - 9*a + 23*a**2 + 3*a - 74065*a**3 as b + c*a + v*a**2 + l*a**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.4*-17\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6801577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -141\/140 and -127\/560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -890 by 5.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 108*a**2. Let k(g) = 141035*g. Give s(k(j)).\nAnswer: 2148214092300*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-12 - 1) + (-4 - -11)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -14) + -4 + -31 + 6 + -26 - 5.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212 by 2.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -119 - -137 - (-1 + 67 + 5).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -393, -1511, -3375, -5985, -9341, -13443, -18291?\n\"Answer: -373*i**2 + i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 544*w**3 - 11*w**2 + 46*w - 16. Is u(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -11) + (43 - 47).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2110\/(-60) + 4\/24. Let u = -4 - -14. Let v be u\/i - (-1)\/((-21)\/(-111)). Solve -6 = -v*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 3*m + 7*m - 42, n + 2*m - 15 = 0. Solve 0 = a - n, -17*a = -2*g - 16*a - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 9:18 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*o - 1)*((0 - 2 + 1)*(-3*o + 0*o + 2*o) + 3*o - 3*o + o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 16*n**2 + 16*n + 13. Suppose 5*u - i + 365 = 0, -2*u - 3*u - i - 355 = 0. Let d = u + 89. Let s be p(d). Sort -5, s, 0.\nAnswer: -5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.3 + -31. Which is the third smallest value? (a) -0.6 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 25. Give o(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 11*i + 32. Let y be x(8). Let j(s) = -s + 28. What is the remainder when 119 is divided by j(y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/3934 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Suppose m + 2 = 7. Suppose 2*f + 2 = 0, 2*y + 7*f + m = 2*f. Let o(w) = y*w**2 + 3*w**2 + 0*w**2 + w**2. Determine c(o(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/11, 1, -3\/7, -54491.\nAnswer: -54491, -3\/7, 2\/11, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*v + 2*v - 15*v - 38*v**4 - 72*v wrt v?\nAnswer: -456*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 102 + 78 + 2*v + 2*v - v. Is l(20) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**5\/10 + n**4\/24 + 7*n**2 + 15. Let h(g) be the second derivative of o(g). Find the second derivative of h(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6574878 is divided by 39847.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/10)\/((-8)\/(-80)). Suppose -2*w + 6 = -3*z - j*z, 12 = -2*z + 4*w. What are the prime factors of 20\/16*(z + 76)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*t**5 - 41997*t**4 + 132705*t**3 - 145743*t**2 + 61554*t - 6480 = 0. What is t?\nAnswer: -1080, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 5*g - 4. Is q(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 43*r**2 - 42*r - 109. What are the prime factors of c(45)?\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q + 68. Let g be d(-23). Sort g, 0.5, 1\/6, 0.072 in decreasing order.\nAnswer: 0.5, 1\/6, 0.072, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42471102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 + 5*o + 5*o**3 - o**2 + 11*o**2 + 3*o - 13*o.\nAnswer: 5*(o - 1)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -11. What is the remainder when y is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 20*i**2 + 387*i - 6534. Determine p(17).\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 35 = -169. What is the remainder when w is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k. Let b(s) = 2 + 0*s - s**3 + 0*s. What is the units digit of b(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 17, 66, 155, 296, 501, 782, 1151?\nAnswer: 1620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1603498946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*h = 8, 73*h - 71*h = -z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11293034 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 0*t - 21 - 15\/2*t**2. Let y(j) = -j**2 - 2*j. Let n(u) = 4*u**2 + 7*u. Let b(g) = 4*n(g) + 14*y(g). Give q(b(d)).\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*k**3*x**3*z**2 - 3*k**3*x**3*z - 2*k**3*x**2*z**2 + k**3*z**2 + k**2*z**2 + 36*z**2 wrt x?\nAnswer: -156*k**3*z**2 - 18*k**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -57131 (base 11) to base 5\nAnswer: -10121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -34, 1, -9, 89, 3, -80 in increasing order.\nAnswer: -80, -34, -9, -5, 1, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -10*c + 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 60 = -4*y + 5*w, 5*w - 5 = 0. Let k = 19 - y. Solve 3*d = k - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1314 = -a + 4*g - 0*g, 3*g = -a + 1286. Suppose -2*w = -r - a, 2*w + r = 5*r + 1304. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1) + 6\/1. Suppose 4*n + 20 = 0, 212 = 2*r - 2*n + l*n. Suppose 5*p = r + 59. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 1 m when three letters picked without replacement from {a: 4, c: 4, m: 6}?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001448311 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 12*a**2 + 1. Let o be s(-2). Suppose -x = 10*z + 12 - 12, -3*x + 5*z = 0. Solve x = 2*l - 57 + o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -50 - -42) + (-18 - 6) + 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:49 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 55?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224828 by -112414.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4121, 8362, 12563, 16730, 20869, 24986, 29087, 33178?\nAnswer: 37265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179*v - 6171*v - 6615*v - 5356*v to m*v + w and give m.\nAnswer: -17963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -208 - -223. What is the hundreds digit of 5\/1 - 5\/a*-543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4662654, 0.4, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38220 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.861 - -41. Let v = t + -12.249. Let f = v + 0.11. Which is bigger: 0.2 or f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -10719*c**4\/4 + 5*c**3\/3 - c**2\/2 - 5*c - 2. Let w be a(-5). Round w to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54747617?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 50610796 and 50610795 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a05ad (base 16) to base 8.\nAnswer: 22402655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1040*z**3\/7 - 1892*z**2\/7 - 388*z\/7 + 24\/7 = 0.\nAnswer: -3\/13, 1\/20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -254 + 256. Let h(d) = d**3 - 10*d**2 + 12*d - 6. Let y be h(9). Let u = 41 - y. Solve -q*w + u = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264195 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18451764*r**3 - 35*r + 14046 wrt r.\nAnswer: -110710584*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*b**4 + 3*b + 119*b**4 - 249*b**4 - 24 + 2*b**2 + 3*b to the form d*b**2 + t + u*b**3 + j*b + m*b**4 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 693496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, e: 3, k: 1, l: 1, f: 4}. What is prob of picking 1 f and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27939 is divided by 26377?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**2 - 15*d + 169. Let j be m(8). Calculate the greatest common divisor of 408 and j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8574.93443 to the nearest ten.\nAnswer: -8570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806624?\nAnswer: 2, 7, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - v - 17 = 0, 20*v = -3*s + 21*v - 13 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 825026?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -47.6?\nAnswer: 52.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w = -2*j - 14, -5*w - 5*j + 75 = 0. Which is the nearest to 1? (a) -5 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soonsowoos. What is prob of picking 1 w and 1 o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11490 - -11505. Solve 378 - 318 = r*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/3 + 2 + 0. Let d = i + 5. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (2 + -10) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 51*k**2 + k - 26874. Let f(w) = -6*w. Give f(r(x)).\nAnswer: -306*x**2 - 6*x + 161244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22)\/(-4))\/(1\/74) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 4.1. Let z(n) = n + 7. Let r be z(-9). What is the nearest to r in 2, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**6\/120 - q**5\/10 + 17*q**4\/48 + 17*q**3\/2 + 45*q**2\/2 + 89*q. Factor y(f).\nAnswer: -(f - 5)*(f + 1)*(f + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, o: 1}. Give prob of sequence rc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**2 + 4587*m + 1293927. Determine y(1381).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -4, -1\/2, 2\/5, 4.38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - -24.03. Which is bigger: p or 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 1 + 3)*(-3 - 2 + 3) + 1 - 3 + 1)*(h**2 + 3*h**2 + 2*h**2) to the form s*h**2 + j + m*h and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*w**3 + 2988*w**2 + 1680*w + 208 = 0. Calculate w.\nAnswer: -13, -2\/5, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7.238 or -0.3?\nAnswer: 7.238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 22*d = -20*d - 67199992, 5*p + 4*d = 67199984. What is p rounded to the nearest one hundred thousand?\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7735859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than -199.9943?\nAnswer: -199.9643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/6 and 85\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -961902 divided by -9\nAnswer: 106878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1481 is divided by (-5)\/5*(-21)\/(-12)*(-3376)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -160.3 - -172. What is g rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 0.2041, -29.3 in decreasing order.\nAnswer: 81, 0.2041, -29.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.1 - -6. Which is the closest to m? (a) 5 (b) 2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 91 = -5*t + 64, 2*t - 62 = 5*w. Let y = t - -8. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**2 + 2*m - 2. Let l = 6 - 4. Suppose 0 = 5*v - l*s - 16 - 3, 25 = 5*v - 5*s. What is b(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 32. Let z(b) = b. Let y(x) = m(x) + 4*z(x). Let u be y(-5). Solve 5*a - 21 = 4*h, -2*h = -a + u*a + 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-385)\/75 + 5)*((-690)\/(-23) + -32).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 12:18 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -319 + 149. Let r = -91 - u. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c - 3*c + 2*c + (-3 + 3 + c)*(-2 + 1 - 1) - 4*c + 0*c + 5*c + (0*c + c - 2*c)*(1 - 9 + 0).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -78*t - 2. Let o(u) = -u. Give -5*o(l) - s(l).\nAnswer: 83*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 10, 1\/11, 0 in descending order.\nAnswer: 10, 2\/5, 1\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**7\/147 - t**6\/105 - t**5\/70 + t**4\/42 - 8*t. Let r(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47506501?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -130958 less than 365765?\nAnswer: 496723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 327 - 3*i**2 + 5229\/4*i.\nAnswer: -3*(i - 436)*(4*i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -15. Suppose 0 = -21*q - 18*q - 1209. Is f at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**3 + 13 - 21 - 2*h + 5. What is the least common multiple of u(-1) and 82?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*i + 16 = -i, -b + 7 = 2*i. Suppose p + 2*p - b = 0. Suppose 2*h + 3 = p. Sort 3, h, -5 in descending order.\nAnswer: 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z**6)\/((z*z**(2\/7)*z)\/(z*z*z**(-11))) assuming z is positive.\nAnswer: z**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + sqrt(78)*-1)\/sqrt(6) + 4 + (1*sqrt(208)*-1 - sqrt(208))**2.\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezzx when four letters picked without replacement from {e: 8, z: 10, x: 1}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - c - 6 = 0, 5*b - 10 = 5*c - 0. Let y be -9*b*1\/(-2). Let k = y + 125. Is 29 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*n + u + 10 = 752*n, -4*n + 2*u - 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*o + 357*o = 276 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 times 0.03414?\nAnswer: -0.00150216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*g + 4830, -3*w - 5*g + 14520 = -3*g. Suppose -w + 1038 = -2*y. Suppose 3*a - y = -3*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4003, 16269, 36717, 65347, 102159, 147153?\n\"Answer: 4091*y**2 - 7*y - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -9. Let a(q) = 8*q - 7. Let m(z) be the first derivative of -7*z**2\/2 + 6*z - 14. Determine i*m(u) - 6*a(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4626896 divided by 32\nAnswer: 289181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.848686 * -0.1.\nAnswer: 1.5848686","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Convert -110101101111 (base 2) to base 13.\nAnswer: -1747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(7\/4)*l**(-11))**(4\/3)*l**(2\/31)*l**2*(l\/(l*l\/(l\/l**7)))\/(l*l**(-1\/4)) assuming l is positive.\nAnswer: l**(-6703\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57436 is divided by 28702.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 25 + 5. Let q be ((-6)\/r)\/(45\/50). Put q, 2\/5, 5\/4 in descending order.\nAnswer: 5\/4, q, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 333042.90019 + -333040. Let q = p - 2.9. What is q rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -135*i + 123*i + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 18) + -14 + 1 + -1 + -59 - -1?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5, 4*j - 17 = -s - 68. Let x be j - 2\/8*0. Let i(k) = -43*k - 6. Is i(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1248 + 1836.2. Let q = d + -588. What is the second smallest value in -0.65, -3, q?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 divided by -67.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 3 + 3 - -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fscb when four letters picked without replacement from sssbssufucus.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*n*x**2 + n*x - x**2 + 112*x - 43 with respect to n.\nAnswer: 56*x**2 + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1687*m - 3*m**4 - 29*m**3 + 5*m**4 + 17*m**3 + 10*m**3 - m**4 - m**2 to the form p*m**3 + f*m**4 + d*m + x*m**2 + j and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 23. Find the third derivative of -r*o**2 - o + o + 9*o**2 + o**3 wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmmw when four letters picked without replacement from {w: 6, m: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1.9983. What is p rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 51*l - 10. Calculate a(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - g - 12, -6*g + 12 = 2*i - g. Put -5, -1, i in decreasing order.\nAnswer: -1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -71, 1\/4, -1.9 in decreasing order.\nAnswer: 5\/3, 1\/4, -1.9, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148684309.\nAnswer: 148684309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 138. Let l(g) = -11*g - 1. Let p be l(-1). Suppose 29 = 3*t - 4*z - o, -p = 2*z. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 121 (b) -2\/3 (c) 6\/5 (d) -0.14 (e) 3 (f) -0.17 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from -12352.\nAnswer: -12370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - -1 - (-4)\/14*-42?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**6\/20 - 9*b**5\/40 - b**4\/4 - 5*b - 9. Let g(c) be the first derivative of s(c). Factor g(q).\nAnswer: -3*q**2*(q + 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(8\/7)\/c)\/(c*c\/c**33))**(3\/8) assuming c is positive.\nAnswer: c**(327\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*x**4 - 2*x**3 + 31*x**2 + 34946*x - 2 wrt x.\nAnswer: -96*x**2 - 12*x + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzc when three letters picked without replacement from cjz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144 - 144.000238. What is z rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 3 + (-6)\/(-3). Let h = w + -4. Suppose h*c - 40 - 34 = 0. Solve 5*v - c = -4*b - 0*v, 3*b = v + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 1281*j + 1187*j - 2*j**2.\nAnswer: j**2 - 94*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -185 divided by 5\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 509 - 505. Sort b, 48, -3, 0 in decreasing order.\nAnswer: 48, b, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1, -5, 5, 169, -56, 13 in ascending order.\nAnswer: -56, -5, -1, 2\/3, 5, 13, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*c**2 - 32*c + 99*c - 31*c - 36*c.\nAnswer: -263*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272 != 3270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 157 + 10. Let d = s - -52. Suppose -d*p - 4*f + 308 = f, 2*f + 503 = 5*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y)*(-5*y + 5*y + y) + 568*y - 1309*y + 653*y + y**2.\nAnswer: -y**2 - 88*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 - 2*m. Let i be 5\/((-5)\/(-12)) - 3. Let t(w) be the first derivative of -5*w**2 - w**3 + 3*w**2 + 4*w**3 - 7 - i. Calculate -7*s(v) + 3*t(v).\nAnswer: -v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 0\/10)*88\/(-6). Suppose -4*s + 2*r + 6 = 5*r, -5*s - 5*r + 5 = 0. Suppose -s*c - c + z = 0. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*f - 12 = 0, -4 - 11 = -3*f. Let t = -11 - x. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -406*f + 2447. Let d be p(6). Solve 15 = 2*v + 4*o - d, -2*v - o + 14 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 92, -2.45, -1 in descending order.\nAnswer: 92, 7, 2, -1, -2.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z + 4*j - 8 = 40*z, -9*z - 51 = -3*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -6*p - 371. Suppose p = -j - 37. Let i be 17\/119 - j\/7. Solve -2*t = i - 5, 4*u = 3*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/177901395 and -37\/76243455.\nAnswer: 533704185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from eexttettxuegwwxwt.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 7*m**2 + 4*m + 7. Let b be v(7). Sort 3, b, 2 in ascending order.\nAnswer: 2, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2 + 8 = 0. Suppose 4*t - 16 = -n + o, 44 = 4*n + 2*t. What is the highest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5561 + 5572. Let w(b) be the first derivative of 9*b**2\/2 - 1. Let p(x) be the third derivative of 5*x**4\/24 + x**2. Calculate n*p(c) - 6*w(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03600105 + -0.036. Round v to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, i: 9}. What is prob of picking 2 x and 1 i?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 - 2*l + 4. Let a(b) = b**2 + 1. What is 4*a(p) - f(p)?\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**5*o**3 + 21*j**2*o**3 - j + 56*o**3 wrt j.\nAnswer: 20*j**3*o**3 + 42*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -146*v**3 - 3*v**2 - 3. Let m(z) = -z**3 + z**2 + 1. What is -a(y) - 3*m(y)?\nAnswer: 149*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)\/sqrt(10) + (sqrt(2) - (sqrt(2) - (sqrt(18) + 2)**2)).\nAnswer: 22 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 8*o**2 - 6*o + 39. Calculate the least common multiple of 16 and c(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 594 or 607?\nAnswer: 607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-15))\/(5\/3). Let o = p + -73\/50. Do -2 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a day in minutes?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 2790767175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -5*u + 0*u**2 + 5\/6*u**3 + 5. Let c(g) = -g**2 + 4*g**2 - 2*g**2. Calculate a(c(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5287 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 6*y**2 + 7*y + 7. Suppose -3*o = 5*o - 64. Let r be (-22)\/3*(-12)\/o. Suppose 2*p - r = j, -j - 4*p + 1 = -0*p. Give m(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4763005 a multiple of 1527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {f: 1, n: 4, k: 1, u: 1, z: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6566338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6501*s**3 - 10*s**2 + 10*s - 1. Does 11 divide q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1873 + (-12)\/21 + (-34)\/14. Suppose -3*k + 0*k = -15, -2*k = -5*b + z. Let x = b + -227. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 9977376?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -1\/2*w**2 - 3 - 16*w. Let s be x(-17). Sort 5, s, -9.\nAnswer: -9, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 1953180*p - 13672064.\nAnswer: -4*(p - 488288)*(p - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 16*s + 21. Let x be z(17). Let i = 21 + -13. Let g = -7 + i. Which is the closest to g? (a) x (b) -1\/8 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -27. Solve -3*v = -3*q + 6, -15*v + 10*v = 2*q - s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 9:38 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 14 = 3*u - u, u - 2*t = 7. Let z be (-150)\/(-14) - (-2)\/u. Is 10 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuv when three letters picked without replacement from {u: 1, v: 7, g: 5}?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-180)\/22 + 3*(-8)\/(-132). Are 0.2 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*z - 97*z = 2*d + 5, -z - 26 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3\/7 - 16*v\/7 = 0. What is v?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (99\/(-63))\/((-35)\/245)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1576.2351 - -0.4.\nAnswer: -1575.8351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144840 divided by -30.\nAnswer: 4828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34872, -139496, -313874, -558006, -871892, -1255532?\nAnswer: -1708926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -22*h**3 + 221*h**2 + 4*h. Let y(g) = -26*g**3 + 222*g**2 + 5*g. Calculate 5*f(d) - 4*y(d).\nAnswer: -6*d**3 + 217*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42777 and 93688?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1499, 3030, 4593, 6194, 7839, 9534?\n\"Answer: l**3 + 10*l**2 + 1494*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004612462 to five decimal places.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 5, -14, -4, -16 in descending order.\nAnswer: 5, 0, -3, -4, -14, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - y - 16 - 36, -5*y = 20. Calculate the smallest common multiple of (-46)\/(-8) - (-1)\/4 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22020 + 43612. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 5, l: 5, v: 1, r: 2, p: 2}. What is prob of picking 3 b and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x. Let p(t) = -1346*t + 2. Calculate c(p(m)).\nAnswer: -1346*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 93, 175, 255, 333, 409?\n\"Answer: -h**2 + 85*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 8*x**2 + 6*x + 9. Let i be g(7). Let t be i\/(-8) - (-2)\/8. Suppose 2*m**2 - m**4 - 5 + t*m + 0*m + 4 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 (base 15) in base 14?\nAnswer: 5aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + -73 + 73 + 1.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2323*w**2 + 2867*w**2 + 3999*w**2.\nAnswer: 4543*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p**5\/7 - 110*p**4\/7 + 174*p**3\/7 + 236*p**2\/7 - 32*p\/7 = 0.\nAnswer: -8, -1, 0, 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 5:03 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 9*c + 8. Let d(l) = -l**3 - 6*l**2 + 9*l + 6. Let v be d(-7). Let b = v + 1. What is y(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.4, -2\/21, -1\/4, 3.\nAnswer: -1\/4, -2\/21, 3, 8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 11:40 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0) + -3 - -4. Let k(j) = -4*j**3 - c*j + 3*j + 1 - j**2. Let r = 2 + -3. Give k(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 3)*(-5958 + 2978 + 2981 + 410*l) to the form y + d*l and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 7:14 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 4464*m.\nAnswer: -2*m*(m - 2232)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2041 + -3?\nAnswer: -2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 836\/16 - 3\/12. Let a = 52 - g. Is 80 + a\/(1 - -3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013233519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2033416, 2033445, 2033474, 2033503?\nAnswer: 2033532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*u - 5569 = 5622 + 13141. Is 316 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*h - 2, -h - 130 = 2*y - 128 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**3 + 3*q + 1\/10*q**4 + 142 + 14\/5*q**2. Let u(z) = 0. Calculate z.\nAnswer: -5, -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 26*i + 65. Let u be n(3). Find the second derivative of -18 + 10*t**5 - 24*t**3 - 7*t**5 - u*t**3 + 104*t + 18 wrt t.\nAnswer: 60*t**3 - 174*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -16 + 8 + 14*y - 43*y. Let x be a(8). Round x to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*a**3*p**2*s - 24668*a**3*p*s**2 - a**3 - 20*a**2*p**3*s**2 - 8585*a**2*p**3 wrt s.\nAnswer: -49336*a**3*p - 40*a**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 1. Let y(g) = 30*g + 40. Let b(v) = -40*t(v) - y(v). Let i(z) = 2*z. Let m = 494 - 483. What is m*i(w) - 2*b(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a week in minutes?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*m, -5*z = -0*m + 4*m + 8. Let u = -441 - -445. Sort 2, z, 2\/9, u.\nAnswer: z, 2\/9, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146 a factor of 239917392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 114113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*q - 20 = -103*q. Let d be (q - -6) + 0 + (-75)\/6. Which is smaller: d or -10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1360 and 7\/3740?\nAnswer: 14960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26108 and 2565111?\nAnswer: 10260444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -38307\/5 (b) 5 (c) -3\/5 (d) 2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 604, 652, 696, 730, 748, 744, 712, 646?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320.9 plus -0.187?\nAnswer: 320.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212998, -213014, -213042, -213082, -213134?\nAnswer: -213198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -4 - (-103 - -96)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23670 + -21905. Is 1765 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**6\/3 + 28*n**3\/3 + 13*n**2 - 2*n - 63. Find the second derivative of b(m) wrt m.\nAnswer: 40*m**3 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -11. Let n(w) = -9. Let k(z) = -5*a(z) + 6*n(z). Let t(s) = -4*s**2 + s + 1. Calculate -2*k(h) + t(h).\nAnswer: -4*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-28 + 62 + -48 - -96) + (13 - (-2 + 3))\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34641*i**3 + 4*i - 36196.\nAnswer: 207846*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40235369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*-2*sqrt(720))**2.\nAnswer: 240*sqrt(5) + 2905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8934078*j + 8527895 with respect to j.\nAnswer: -8934078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*q - z, 607968*q + 3*z + 18 = 607977*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 59 - 51*b**2 + 19*b**3 - 148*b**3 - 471*b + 9*b**4 + 497*b**2 + 37*b**2 + 49 = 0?\nAnswer: 1\/3, 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53568 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (10 - (38 + -95) - (1 + 0 + -14)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/11, 1, 6 in ascending order.\nAnswer: -2\/11, 0.2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 0.5 (c) -27 (d) 15 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5538 + 0.0538. Which is the smallest value? (a) 1\/2 (b) p (c) -5 (d) -0.479\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -37 - 9 - (-7)\/((-1050)\/3468).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3455001439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 321?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26818619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(200) - sqrt(8)*4.\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + -1.7. Suppose -7*k + 5*k = -2*f - 4, -1 = -f - 2*k. Which is the biggest value? (a) -2\/9 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 + 81. Suppose 6 - 1 = -5*z. Let c(q) = 7*q**3 + q. Let u be c(z). Are f and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**6\/360 - t**5\/40 - t**4\/6 - 7*t**3\/6 - 2*t. Let q(m) be the second derivative of l(m). Calculate q(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4246*t*z + 10072*t - 173*z**2 - 2*z + 15 wrt z?\nAnswer: -4246*t - 346*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 0.1 (b) -1\/4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 i, and 1 f when three letters picked without replacement from {f: 3, m: 1, c: 5, i: 1, u: 6, e: 4}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56016*v**4 - 43156.\nAnswer: -224064*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -61. Suppose -5*q + o = -3. Suppose -5*x - 2710 = -q*u, 0 = 3*u - x - 3*x - 2711. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1339 and -49\/8.\nAnswer: 10712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.01570085 rounded to four dps?\nAnswer: 13.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 11*y**2 - 8*y + 20. Let m be s(-10). What is the nearest to m in 6, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 58761.\nAnswer: 5\/58761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17905, -22879, -31177, -42805, -57769, -76075, -97729?\nAnswer: -122737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-7) - 4\/(-14). Let w(d) = d**2 - 8*d + 3. Let c be w(8). Suppose 2*o - c = -y - 1, 2*o = 0. Put 4, y, g, -1 in decreasing order.\nAnswer: 4, y, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 21*i = 450. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**4\/12 - 17*a**3\/6 - 33*a**2 - 17*a + 2. Give y(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3519, -3491, -3415, -3267, -3023, -2659, -2151?\n\"Answer: 4*w**3 - 3523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -73544647 and 2130.4.\nAnswer: -73542516.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004904557348 rounded to six decimal places?\nAnswer: 0.004905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -129*n - 66. Let w = -137 - -134. Is 10 a factor of k(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 13917?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10924.99 - -11085. Let j = 160 - d. Sort 3, -3, j in decreasing order.\nAnswer: 3, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110120?\nAnswer: 2, 5, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8924, 16623, 24320, 32015, 39708, 47399?\nAnswer: 55088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -8940147.\nAnswer: -2\/2980049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*n**2*r**5 + 4427*n**2 + 3114*r**5 - 6*r wrt r.\nAnswer: -400*n**2*r**3 + 62280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1018*z**2 + z + 30197 wrt z?\nAnswer: 2036*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1516 + -714. What are the prime factors of l?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -66, -2\/11, 1\/12 in increasing order.\nAnswer: -66, -1, -2\/11, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 7. Let r = -3 - n. Let g(s) = s**3 - 4*s**2 + 4*s - 2. What is the least common multiple of r and g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d. Let y(q) be the second derivative of -1\/6*q**3 - 69*q + 1 + 0*q**2. Determine y(u(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 93 = -5*s, -5*s - 73 = 4*o + 46. Let t = o - -59. What is the remainder when t is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -2, 2 in decreasing order.\nAnswer: 6, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - 0.03. Let n = -0.41 - -0.5. Let s = n + -4.09. Sort v, 4, s.\nAnswer: s, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -20. Solve 2*a + 14 - 6 = n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 15 = -2*i, -17*l + 12*l = -i + 10. Is -3\/2822 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 61*w. Let a(b) = 4*b - 2. Calculate u(a(g)).\nAnswer: 244*g - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30815 + 3648. What are the prime factors of a?\nAnswer: 11, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 2*r, -101*t + 97*t + 5*r = -13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -5*q + 20, -4*q = -4*j + 5469 - 5485 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/((-35)\/10)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 599*1 - (11 + -14). Suppose 413 = 5*h - g. Calculate the greatest common divisor of h and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * 0.133.\nAnswer: -0.02128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.30614 and -17.8.\nAnswer: -76.649292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 896, 1819, 2738, 3653, 4564, 5471?\n\"Answer: -2*z**2 + 929*z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 279*p. Let s(o) = -2*o**2. Calculate h(s(v)).\nAnswer: -558*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.59074814 rounded to two decimal places?\nAnswer: 2.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, j: 3, x: 8}. Give prob of sequence jx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21807708 and 476268.\nAnswer: 6708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000173313 rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 268835735867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4\/d*d**1)\/(d**(-1\/4)\/(d*(d*(d*(d*d**(3\/2))\/d)\/d*d)\/d*d*d)))\/((d\/(d\/d**(-3\/7)*d))\/(d*d\/d**6*d)*(d\/(d\/d**0))**(-2\/23)) assuming d is positive.\nAnswer: d**(229\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 50092, 50093, 50096, 50101, 50108, 50117?\n\"Answer: w**2 - 2*w + 50093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 22093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/49 - -104\/147. Let n be 4\/(-9) - 0 - 0. Let q = 5 - 7. Which is the second biggest value? (a) n (b) q (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -36.4, 2.34?\nAnswer: -36.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)*j**(-3\/17))\/(j**(3\/16)*j**(-10\/3)) assuming j is positive.\nAnswer: j**(791\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -58, -146, -376, -820, -1550, -2638, -4156?\n\"Answer: -12*o**3 + o**2 - 7*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -3*a + a. Suppose 5*x = 9*x - 456. Let p = 124 - x. What is the highest common factor of a and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w**4 - 120720*w**3 + 563505*w**2 - 684300*w + 241524 = 0.\nAnswer: -13418, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -971961\/65 - -14953. Calculate the common denominator of b and ((-2)\/(-20))\/((-6)\/(-27)).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101 - 100)\/(-7 + 170\/(-12) + 2\/(-6)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89879\/11 bigger than -8172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -150, -143, -140, -147, -170, -215?\n\"Answer: -d**3 + 4*d**2 + 2*d - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssssszsshwosh. Give prob of picking 1 o, 1 h, and 1 w.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -3 - -14) + -12 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (36 - 59) + 59 - 30 - (0 + -1 + 42)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26480245.\nAnswer: 5, 11, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/892, 2, 56.8, 1\/7 in decreasing order.\nAnswer: 56.8, 2, 1\/7, 3\/892, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one fifths of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -635312.\nAnswer: 1\/635312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 3, 1\/197, 6\/5, 15, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + c - 1. Let u(k) be the first derivative of -k**4\/4 + 11*k**3\/3 - 6*k**2 + 12*k + 3. Calculate -22*f(h) - 2*u(h).\nAnswer: 2*h**3 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -982, -1965, -2948, -3931?\n\"Answer: -983*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 177860383 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49\/2 - -24. Let m be (4 + -6)*16\/(-32)*(-6)\/21. Which is the fourth biggest value? (a) y (b) -18 (c) m (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.86 and 248?\nAnswer: 256.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*p**2\/3 + 13864*p\/3 + 51456 = 0.\nAnswer: -268\/25, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 270.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnnlnnlnnlllnl. What is prob of picking 3 n?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486) - (2*sqrt(486) + sqrt(486) + sqrt(486)))\/(6*sqrt(32)).\nAnswer: -9*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 6 - 2 - 0) + -35\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + -6289?\nAnswer: -6263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35356 - 1461*o - 35356)*(1 + 2 - 2 + (-2 + 2 - 1)*(4 + 3 + 0) + 5 - 2 - 2).\nAnswer: 7305*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0 (b) -0.83 (c) 4 (d) 1\/4 (e) -51338\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = u - 3*u. Let q = u + -6. Let v = q + 16. Solve -a = -v*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 56950, 227685, 512214, 910537, 1422654, 2048565?\n\"Answer: 56897*d**2 + 44*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkka. Give prob of sequence kkk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 y when four letters picked without replacement from yzzyzzy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -7 + 17. Solve 2*a + 4*c + 2 = -0, j*c = -4*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 6*j**2 - 5*j - 12. Let a be c(-6). Let n = -53 + 76. Let d = n - 14. What is the highest common factor of a and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 3498972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*x - 29, 1 = s - 5*x + 6. Sort -3, -2, -47, s.\nAnswer: -47, -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skke when four letters picked without replacement from {x: 4, e: 1, k: 10, s: 2}.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**4 + 26006792*x**3 - x**2 - 57*x + 99477.\nAnswer: 24*x + 156040752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1044*s**3 - 14*s**2 - 6*s - 4. Let y(l) = -1042*l**3 - 10*l**2 - 5*l - 3. Give -3*f(c) + 4*y(c).\nAnswer: -1036*c**3 + 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {x: 1, p: 1, h: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) + (sqrt(68) - -2*-2*sqrt(68))))*3)\/((sqrt(4) + (1*sqrt(8))\/sqrt(2))*3).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 6*g**2 - 2*g - 7. Let y be i(-6). Let n be (-2)\/(-5) - 7\/y. Sort 1, 5, n in descending order.\nAnswer: 5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 2*y**2 - y - 1. Let v be l(3). Suppose 0 = -d - d. Suppose d*n + 2*n + 6 = 0. What is the second biggest value in 3\/5, v, n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*x + 2*z - 4*z, -4*x = 3*z - 17. Suppose -3*m = -x*m. Suppose m = -3*n + 11 - 2. Solve 2*y + n*y = -25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3 - 17. Suppose n = a*n. Suppose j + 2*m = -n*j + 21, -3*m = -j + 1. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 150625.47 rounded to the nearest 10?\nAnswer: 150630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, o: 1, l: 1, k: 1, g: 1, s: 1}. What is prob of picking 1 s, 1 l, 1 g, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 2*k**2 + 17 + 9 + 32 in the form s*k + u + q*k**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6022853 = -40*q - 6019013 for q.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:58 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 88299523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**8\/672 + t**6\/120 - t**4\/48 - 7*t**2 + 3. Let v(r) be the second derivative of k(r). Factor v(s).\nAnswer: -s*(s - 1)**2*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -y**2*z + 26*y**2 + 2*y*z + 3*y - 240*z + 4 wrt y?\nAnswer: -2*y*z + 52*y + 2*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.33091 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 52*h - 316. Give q(57).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 - 145920*f**4 - 5323453432*f**3 - 21292062720*f**2 - 21291479056*f.\nAnswer: -f*(f + 2)**2*(f + 72958)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 661, -334, -4653, -13958, -29911, -54174, -88409, -134278?\n\"Answer: -277*i**3 + 944*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 7*x = 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -30975300 to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 0*t**7 + 0*t**6 + 0*t**3 + 49*t**2 + 13\/8*t**4 - 1\/30*t**5 + 0*t + 0 + 5\/112*t**8. Find the third derivative of i(p) wrt p.\nAnswer: 900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**3 - 76*j**2 - 2*j + 21. Let x(i) = 20*i**3 + 379*i**2 + 8*i - 104. Let r(f) = -11*v(f) - 2*x(f). Find the second derivative of r(o) wrt o.\nAnswer: 24*o + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 22.2. Let r = y - 4.2. What is r rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4 + 0 + 2 - 4 + (-4 - 3 + 6)*(0 + 0 - 2) + 0 - 1 + 0 + 3 - 2 + 1 - 4 + 0 + 5 - 23 + 45 + 36)*(7*z - 2*z - z).\nAnswer: 248*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 2818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*b = 33066 - 37112 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1297\/952 - -9\/136. Factor -2\/7*i**3 + 6\/7 + a*i + 2\/7*i**2.\nAnswer: -2*(i - 3)*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 9*h**2 - 14*h + 10. Let x(y) = -y. Let q(o) = 2*o**3 + 2*o - 3. Let t be q(1). Let m(k) = t*x(k) + w(k). Does 36 divide m(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -15, 11, 41?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -2, 2, 2574, -3.\nAnswer: -4, -3, -2, 2, 3, 2574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55235?\nAnswer: 5, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -14*h - 6*h + 8*h - 9 - 6*h + 3*h**2. Is y(17) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (186\/248)\/((-14)\/12)*(-16)\/(-12)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.3549 less than -0.824?\nAnswer: -17.1789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2256 and 4324?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 3)*(-47*t + 14*t + 9*t) + 15*t - 123 + 123)*(t + 4*t - 4*t).\nAnswer: 63*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 2, q: 2, b: 1, r: 1, k: 1}. What is prob of picking 1 n and 1 k?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 7*v**2 - 7*v - 8. Let z be f(-6). Put 4, -4, z, 5 in increasing order.\nAnswer: -4, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7978565*f**2*u**4 - f**2*u - 6667745*f**2 + 2*f*u**5 wrt u?\nAnswer: 95742780*f**2*u**2 + 40*f*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6873*l**4 - 5259*l**2.\nAnswer: 164952*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeelj. Give prob of sequence lj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 1 - 1 - 13 - 16)*((2 - 2 + 2)*(3*k - 3*k - 2*k) + 2*k + 0 + 0 + 2*k - 4*k + k + 2*k + 3*k - k + k - 2*k + 2*k).\nAnswer: 60*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 3, h: 3, m: 4}. What is prob of sequence mwm?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajaaaaiij. Give prob of picking 1 j and 2 i.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -759 + 754. Let p = -5 - -3. Put 2, 1, p, q in decreasing order.\nAnswer: 2, 1, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 3*s + 18 = 2*f, -s + 20 = 3*f. Let n(p) = -4*p**2 + f*p + 9*p**2 - 4*p**2 + 4. Suppose 3*u = 4*l + 12, 6 + 6 = -3*u. Determine n(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times -1757?\nAnswer: -42168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 355927455 and 450?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 0, -0.3, -3, -4.35, -4, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 199, 320, 439, 556, 671, 784, 895?\n\"Answer: -g**2 + 124*g + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1450 (base 6) to base 16\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5)\/((n\/(n\/(n\/n**1)))\/n))**17\/((n**(-2\/3))**(2\/9)\/((n**(2\/7)\/n*n)\/n**(2\/3))) assuming n is positive.\nAnswer: n**(19058\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + 24. Let l(v) = -2*v - 2*v**2 - w + 0*v**3 - v**3 + 1 + 2*v**3. What is the remainder when 56 is divided by l(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -15*r**2 + 10258*r + 491984. Calculate g(-45).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (40\/(-24))\/(2\/(-1338)). Let z = -263 - -266. Suppose 8*y - i = z*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 248888\/3 - 2737672\/33. Suppose 2\/11*l**2 - t - 30\/11*l = 0. Calculate l.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 7*p**2 - p - 3. Let f be v(-7). Suppose 0 = -h - 5*k + 12 + 37, 4*k = 12. Calculate the remainder when h is divided by -1*9\/(-4)*f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 + 11 + a**2 + 164*a**3 + 1 wrt a.\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 115508a7?\nAnswer: -115508a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33.98979 and -0.2?\nAnswer: 6.797958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 15)*50\/(-20)*4\/(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17288 - -11?\nAnswer: 17310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s**2*s**10)**(23\/2) assuming s is positive.\nAnswer: s**(345\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 241 = 7*n. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -33, 1, -1 in decreasing order.\nAnswer: 1, -1, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3097 by -1.\nAnswer: 3097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -46. Sort i, 5, 2, 7 in increasing order.\nAnswer: i, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2594759, 5189188, 7783617?\nAnswer: 10378046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*21008911.\nAnswer: -84035644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110735.\nAnswer: 5, 22147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l**3 - 12*l**3 + 30*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o + 4. Let a(q) = 5*q - 2. Let d(m) = 7*a(m) + 3*p(m). Determine d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 15. What is the lowest common multiple of r(-21) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(25\/(-2)))\/((-312)\/(-60)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -119? (a) -0.3 (b) 4 (c) 12 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1018 = -421. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 121310 and 121307 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/12 + w**3\/6 + 17*w**2\/2 - 87*w. Let j be q(0). Solve 5*z - 3*p - 14 = 0, 4*z + 3 = p + j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2100 (base 3) to base 16\nAnswer: 3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503663383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4)*-1*-5 + 1 + -4*(sqrt(170)*-1)\/sqrt(10)*5)**2.\nAnswer: 50*sqrt(17) + 10626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 689202?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 24.52299 months?\nAnswer: 0.020435825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*m**5 - 18*m**3 - 2432*m**2 wrt m?\nAnswer: 2220*m**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2000 + 3?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 8:44 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27804\/391573)\/(2\/26).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -349018\/33 + 10575. Find the common denominator of -31\/18 and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123983673 bigger than 123983671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d606 (base 14) in base 3?\nAnswer: 1212112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.82 + -0.18. Let v = n + -3. Let b = 293\/2346 + -1\/138. Sort v, 0.1, b in decreasing order.\nAnswer: b, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29499, 1\/39, 0.02 in descending order.\nAnswer: 1\/39, 0.02, -2\/29499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6095277 to the power of 1\/2, to the nearest integer?\nAnswer: 2469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2) + 1)\/(2\/(-48)). Suppose 5*j - j = u - 3, -4*u + m = -2*j. Solve 0 - u = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/36637?\nAnswer: 2\/36637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.14595875 and 0.166.\nAnswer: 0.31195875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 + 6*n. Let r(y) = y**2 - 62. Calculate b(r(h)).\nAnswer: 3*h**4 - 366*h**2 + 11160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2320 and 52400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48940 > 48939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58397\/30 + -11749\/6. Let y = 1406133\/275 - 180878\/25. Let r = y - -2126. Calculate the common denominator of q and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48651, 97314, 145977?\n\"Answer: 48663*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**6\/60 - q**5\/20 - q**4\/12 + 19*q**3\/6 - 21*q**2. Is k(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + sqrt(539) + (sqrt(539) - (0 + sqrt(539) + -2 + sqrt(539))) + sqrt(539) + sqrt(539) + sqrt(539) + 5 + -1 + sqrt(539))**2*-5.\nAnswer: -43137 - 560*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 1)\/((-11)\/2805). Let r = 10 + -6. Suppose -5*o + 108 + 212 = -5*k, -5*k = -r*o + j. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**3 - 20*g**3 + 26*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -859, -1729, -2599?\n\"Answer: -870*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l**3 + 20*l**2 + 25*l. Let p(z) = z**3 + z. Let d(u) = n(u) - 6*p(u). Let d(m) = 0. What is m?\nAnswer: -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12495 divided by -833\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 t when three letters picked without replacement from timttiitiit.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 286.3 - 271. Let z = -15.8 + r. Let a be 2\/(-10) + (-81)\/(-105). What is the second smallest value in z, a, -3.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170660.\nAnswer: 2, 5, 7, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/14061 and -77\/474?\nAnswer: 2221638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0. Suppose 3*n + 4 - f = 0, 0 = -4*m + 3*n + 31. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 1. Let o be h(-9). Let z = 49 + o. Let j = 111 - z. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 66 - -8?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + (-1 + 0 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t + 0*t + 15*t - 9030 = 0. Calculate the highest common factor of t and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*q - 2*q + 20 = 0, 0 = 4*q. Let m(x) = x**3 + 5*x**2 - x - 3. Let j be m(t). Let a(u) = -u - j + 0 + 3. Give a(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4621, 9245, 13869, 18493?\nAnswer: 23117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(200) + 1)**2*-5 + 2.\nAnswer: 500*sqrt(2) + 5027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, -2\/3, -398?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385.2341 days to seconds.\nAnswer: 33284226.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-9)\/(-6)*-8. Let g be 7 - (-3 + j\/(-3)). Solve 2*a - g = -2*p, 2*a + 3*p - 2*p - 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -220037.9491 - -220062. Let y = 0.1809 - c. Round y to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.4 + -3.5. Let y = -81 + 81.64. Let p = -5.64 + y. Which is the second smallest value? (a) -34 (b) p (c) -4\/3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 357 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 494 + -349. Is -1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 2*t - 6*t - 5*t - t**2.\nAnswer: -t**2 - 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 6:32 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1 + 12*a - 3*a - 3. Let q(g) = -3 + 5 - 2 + g. What is -n(o) + 6*q(o)?\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -128*y - 1 + 129*y - 1 - 5. Let q be s(8). Solve -t - 2 + q = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 30*j - 267. What is l(8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 264 = 4*s, 3*a + 3*s - 45 = 114. Suppose 0*t - 4*t + a = 0. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/9)\/l*l*l\/l**11)**(-29)*l\/(l*((l*l**(-4))\/l*l)\/l)*l*l**5*((l*l*l\/(l**(-8)*l*l))\/l)\/((l\/(l*l**(-7)))\/l) assuming l is positive.\nAnswer: l**(2689\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -280592 or 1274?\nAnswer: 1274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2 + 318*r - 8427 = 0. Calculate r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*j - 1705 = 0, -1004 = -3*c + 15*j - 20*j. Let b = c - 63. Does 35 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v + 16. Let r be w(4). Let z(s) = s**2 - 9. What are the prime factors of z(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783684 is divided by 78367.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203578389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 115627 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9741 + -233747\/24. Let s = 1\/8 - k. Calculate the common denominator of s and ((-2)\/6)\/(40\/582).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-8))\/(1\/24). Let l be 2*2*5\/(-4). Let p be ((-2)\/l)\/((-3)\/(-540)). What is the highest common factor of p and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1535*g - 1550*g - 120 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -396745, -396746, -396745, -396742?\n\"Answer: n**2 - 4*n - 396742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 15 + 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -460742 - 0.26?\nAnswer: -460742.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149 + -239. Let m = x + 89.9865. What is m rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33177 and 3726?\nAnswer: -123617502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 32 + 4*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 26. Let h be j(22). Suppose h = -952*o + 955*o. Solve 6 = -o*v + 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -118\/7, -2\/3, -0.11, -0.2, 38?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2211 = 5*a - 2461 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 5. Let r be c(-8). Suppose -r*n - n = 0. Suppose n = -g + 60 + 71. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 57 = 5*b. Calculate the common denominator of 81\/4 and ((-7)\/b)\/((-7)\/62).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -59, -95, -145, -209, -287, -379?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -119*l**3 - 211*l**2 - 100*l - 18. Let x(k) = 356*k**3 + 634*k**2 + 298*k + 55. Let u(j) = 7*s(j) + 2*x(j). Factor u(c).\nAnswer: -(c + 1)*(11*c + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**3 + h**2 - 1. Let m be u(-1). Suppose -m*b + 4 = -1. Calculate the greatest common factor of 8 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (101520\/(-64))\/47.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1\/27, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 19 - 7. Let s be ((-7)\/(-56))\/((-1)\/w). Which is the second biggest value? (a) 0.1 (b) -5\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5243*m. Let z(j) = -11*j**2 + 90*j + 3. Determine q(z(a)).\nAnswer: 57673*a**2 - 471870*a - 15729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49*r - 2379 + 4758 - 2378)*(3*r**2 - 3*r**2 - 2*r**2) as g*r**3 + x + i*r**2 + z*r and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/366095 and -86\/7687995?\nAnswer: 7687995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 92. Suppose -2*l + u = 6*l. Let m be 64\/110 + (-84)\/462. Put l, -0.1, -3, m in descending order.\nAnswer: l, m, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400723062.\nAnswer: 2, 3, 66787177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {y: 3, n: 12}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30038 is divided by 29970?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by (10\/12)\/((7\/42)\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 - 34*d + 5. Let f(s) = 5*s**2 + 51*s - 8. Let t(x) = -5*f(x) - 8*k(x). Let r be t(13). Suppose -r = -q + 43. What are the prime factors of q?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3775 and 5175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28784 and 36554.\nAnswer: 75155024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 - 6*n**2 + 6*n - 5. Let z = 14 - 9. Let s be 6\/z*(-170)\/(-51). List the prime factors of o(s).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (0 + 41 - (-1 - (12 - (-3 + 9))))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 4)*(-25)\/125 - (-1)\/1. Which is the third smallest value? (a) -6 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 7*s**2 - 11*s - 2. Let q be f(-5). Let m = 0 + q. Solve 5*w + 20 = -5*b, -4*w - 5*b - 4 = -m*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9588967 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 397708317?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-12)\/(-20) - (-8)\/(-20). Solve -x + 5*m - y*m = 17, 5*m = x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, 16.896, 0.4, 11 in descending order.\nAnswer: 16.896, 11, 0.4, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - u + 14 - 4 = 0, -2*z + u + 32 = 0. Let g = z + -3. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 103456860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23176559 and 11.9565.\nAnswer: -23176547.0435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 28*d + 118. Let v be m(-23). Solve 9*g = v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 4237*h**4\/4 + 1235*h**3\/3 + 9607*h. What is the second derivative of d(s) wrt s?\nAnswer: 25422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*i**3 - 79*i**3 + 33*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from {u: 1, t: 1, l: 1, g: 2, y: 11}?\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -8. Suppose -4*z + 0*z - 24 = -u*p, 3*p = 5*z + 30. Let n be ((-147)\/z)\/7*2. Solve 5*j - 3*c - 6 = 0, 1 = 3*c + n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -9, 995625.\nAnswer: -24, -9, 995625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3\/2 (b) 4\/9 (c) 4 (d) -2\/365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - 2*sqrt(4))\/sqrt(2) + -5 + (sqrt(98) - (sqrt(98) + sqrt(98)*2) - sqrt(2))*-3.\nAnswer: -5 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 3*d - 356. Let k be w(0). Let v be 5*(k\/5 - -2). Let n = v - -3259. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560)*6 - (sqrt(35) + -1*sqrt(1715) - sqrt(35)))\/(-6*(sqrt(180) - (sqrt(180) + -1*sqrt(180))) + sqrt(180)))**2.\nAnswer: 6727\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/279 and -7\/682.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000113916277 to 6 dps.\nAnswer: -0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + 43. Is 7506\/m - 2\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -18, 9, -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 26*c - 4. Is l(11) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -63 - 33*t - 17*t + 85 - 64. What is d(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**13\/(x*x*x\/(x**(1\/16)\/x)))\/((x*x**(-4)\/x*x)\/x**(4\/3)) assuming x is positive.\nAnswer: x**(643\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 1 - 4\/(-2). Let q = 1 + d. Suppose 5*n - q = 57. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + f**3 + 0*f**3 + (-3*f**2 + 3*f**2 + 2*f**2)*(-1 + 1 + f) - 5*f**3 + 9*f**3 + 21*f**3)*(0 + 0 + f).\nAnswer: 26*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/91)\/(23\/7)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/(7\/(-14))*4216\/(-248).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2489.3914 to the nearest 10.\nAnswer: -2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 - -10. Let u be (14\/(-5) + 3)\/((-35)\/105). Which is the biggest value? (a) 5 (b) -5 (c) h (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1011212 (base 5) to base 9\nAnswer: -24477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (33 + -15 - 41) + -12 + -13\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -3*w**4\/28 - 138*w**3\/7 + 849*w**2\/14 + 180*w + 8477. What is x in b(x) = 0?\nAnswer: -140, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*w = -5 + 2, 2*w - 5 = -3*f. Suppose 45*a + 96 = 49*a. Let t be ((-18)\/a)\/((-5)\/4). Which is bigger: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 688775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/4)\/(((-2)\/48*-2)\/((-1384)\/(-12456))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -33060 divided by -19?\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 621196 divided by 8\nAnswer: 155299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1528400 divided by -191050\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3096968*f**6 - 6*f**2 - 37519*f - 2 wrt f?\nAnswer: -371636160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d + 1525*d**2 - 6 + d - 14*d + 241*d**2. Let x be q(-3). What is x rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -32*l**2. Let i(v) = 8*v**2 + 7*v - 7. Let c(y) = 5*y**2 + 4*y - 4. Suppose 38*a - 48 = 26*a. Let o(j) = a*i(j) - 7*c(j). Calculate o(q(u)).\nAnswer: -3072*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47619, 95235, 142851, 190467?\n\"Answer: 47616*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -46. Let d be 4\/5*(-20)\/(-8). Let m(b) = -g*b + b**d + 11*b. Let u(k) = 2*k**2. Give m(u(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 = 5*o - 3*p + 4*p, -2*o - 2*p = 154. Let i = -70 - o. Let t be i\/4*40\/(-35). Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/4996?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 1:47 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4760000 rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-18\/13))**39*(((i\/i**(-2\/7))\/i)\/i)**(-29)\/(i**(-3)*i*(i\/(i*((i\/i**(2\/5))\/i)\/i)*i)\/i) assuming i is positive.\nAnswer: i**(-1144\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stts when four letters picked without replacement from tstst.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 32. Let p be (6\/(-15))\/(2\/a). Let q = 17 + p. What is the greatest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 6. Let y(s) = 1. Let f(i) = -c(i) - 6*y(i). Let d(h) = -11*h**2. What is d(f(z))?\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 3*k + 3*k)*(17 + 3 + 6 - 1 + 0 + 3 - 3 + 5 - 1 + 0 - 2 + 0 + (0 + 3 - 5)*(0 - 2 + 0) - 1 + 1 - 1)*(-33 + 14 + 2*k + 40).\nAnswer: 120*k**3 + 1260*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7\/15, 31706, -5\/2 in ascending order.\nAnswer: -5\/2, 7\/15, 1, 31706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -319 - -331. What is the highest common factor of 28 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*c + 8*c. Let r be (c\/6)\/(6\/(-18)). Let g(z) be the second derivative of -z**3\/6 + z**2 - 2*z. What is g(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 55.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = 11. Let x be (-5)\/(-3)*(-48)\/(-40). Let o be (1\/x)\/((-5)\/10). Put o, -2, r in ascending order.\nAnswer: r, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1247*t**3 + t**2. Let m be c(1). Suppose -5*w + 3142 = 3*z, 2*w = -3*z + 4*z + m. Is w\/3 - (-1)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25791662653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 27*w + 89. What is u(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -7)\/(-4) + (-4 - 2 - -4). Sort u, -47, -8 in descending order.\nAnswer: u, -8, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 51*r + 38 = 54*r, 16*m = r + 126 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674 < -4.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*h**3*v**4 + 2*h**3*v - 2*h**2*v**6 + 290*h*v**2 wrt v.\nAnswer: -1248*h**3*v - 240*h**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 562773320 to the power of 1\/3, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -51819243.5?\nAnswer: -51819243.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*m - 8 = -m, -4*q - m = -8. Solve 3*o + 25 = -q*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itieikkeejkkkejjjeii. Give prob of sequence tee.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**6\/360 + 7*r**4\/6 + r. Let h(m) be the third derivative of u(m). Let b(p) = 22*p**2. What is b(h(k))?\nAnswer: 88*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38b + -4?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 - (-8)\/6. Suppose -5*r = 1 - 6. What is the greatest common divisor of r and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 + 123*g + 910 = 0. Calculate g.\nAnswer: -7, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -3*x - 15. Find the second derivative of 3*c**3 + c**3 + 3*c - 3*c**3 + 3*c**x wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - -3) + (1 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -703 (base 16) to base 10.\nAnswer: -1795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040 times -416.9?\nAnswer: -850476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/52)\/((-29)\/(-4292))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11780499*g - 15883834?\nAnswer: -11780499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 194 or 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 764 (b) -2\/43 (c) -1\/96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -0*q - 2*q + n, -4*q - 5*n = 1. Let i be 83\/((-2490)\/480) - -26. Solve i = q*w - 11*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - (-5 + 8\/(-4)). What is the nearest to -2\/7 in -0.5, 0.086, d, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6205)\/730*(-52)\/34. Solve c*m = 24 - 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**3 + 4*q**2 + 7*q - 3. Let m(r) = 12*r**3 + 11*r**2 + 20*r - 9. Let s(b) = 6*m(b) - 17*p(b). Does 13 divide s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24903 and 105?\nAnswer: 871605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0 + 0*s - 1\/12*s**4 + 0*s**5 - 2\/105*s**7 + 0*s**3 + s**2 + 0*s**6. What is the second derivative of h(b) wrt b?\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 times -0.333?\nAnswer: 26.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*a - 17*a + 8*a)*(-1 + 2 - 3 + 5 - 3 - 1 + (4 - 4 + 2)*(-5 + 5 + 2) + 2 + 2 - 3).\nAnswer: -140*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58883 is divided by 19626?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*z - 5*z**2 - 15*z - z**2 + 3*z wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -81961, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**5\/60 + 3*s**4\/8 + 13*s**3\/6 + 6*s**2. Let i be f(10). Find the first derivative of -2 - 2*m + i*m + m**2 - m wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (47 + -47 - (0 + 8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -11. Solve 2*j - 5*l + p = -11, 2*j - 4*l = -16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b32 (base 12) to base 3.\nAnswer: 2020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81517341 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1907902 and 212396?\nAnswer: 3662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43875180 less than 43875180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**6\/75 + b**5\/10 - 3*b**4\/10 + 7*b**3\/15 - 2*b**2\/5 + 14*b. What is n in u(n) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-7)\/((-70)\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-88)*(-128)\/(-48)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9*f**3 + 2*f**2 - f + 2. Let r(g) = -g**2 - g + 9. Let s(q) = 44*q**3 - 17*q**2 - q + 52. Let o(b) = -7*r(b) + s(b). Determine -11*a(m) - 2*o(m).\nAnswer: 11*m**3 - 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:08 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i = 15*i + d + 12, -2*i = 513*d - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3818 - -1?\nAnswer: 3819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*u + 54116 = 182*u + 396*u + 10158 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3444 and 1148.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156678.99764459 - -156679. What is x rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 + -90.29477366\nAnswer: -87.49477366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110 (base 2) in base 11?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 669700368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**5 + 174*l**4 + 2215*l**3 + 12050*l**2 + 22500*l - 5000 = 0.\nAnswer: -10, -5, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 182b3 (base 15) to base 14\nAnswer: 2072b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/2))**(10\/7))**(-16)\/((h**(1\/2)\/h**4)\/(h**(-2\/11)*h**(-4))) assuming h is positive.\nAnswer: h**(-1865\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-1) - (-6)\/(-3))*(129 - 130)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Let t(u) = 3*u - 1. Let g be t(2). Suppose 3*k = -k + 44. Solve g*s = -w*j + k, -2*s + j - 4 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -245758 (base 9) to base 14\nAnswer: -3c22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 313\/320 - 153\/320. Find q such that 1\/2*q**3 + 2*q**4 + 3\/2 - u*q - 7\/2*q**2 = 0.\nAnswer: -1, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*k = 284*k + 1290. Suppose -365 = -3*p - 104. Let x = k - p. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2523001 - 132*i - 2523001.\nAnswer: -132*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*b = -2375 + 730 - 704 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9 = -3. Let g(c) = -26*c - 206. Let v be g(-8). Let f(h) = 2*h**2 + 3*h - 1. Let k be f(2). Solve -k = -v*o - r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 11*z**3 + z + (0*z - 2*z + 3*z)*(-7*z**2 + 2*z**2 + 0*z**2))*(-4 + 2*z + 4).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(135))\/(sqrt(300) + sqrt(300) + (sqrt(300) - (sqrt(300) - (sqrt(300) + (sqrt(300) - (sqrt(300) + -1*sqrt(300))) + sqrt(300) - sqrt(300))))).\nAnswer: 3*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/40705464 and 37\/176265?\nAnswer: 610581960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -42*p - 2*p**5 + 0 - 15\/4*p**3 + 0*p**2 + 5*p**4. What is u in f(u) = 0?\nAnswer: 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 102?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84116*z**6 - z + 84198*z**6 - 85*z**2 + 29*z**2 wrt z?\nAnswer: 9840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2326 + -2326.17. Sort -0.3, 8, r in increasing order.\nAnswer: -0.3, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 145? (a) -2\/17 (b) 2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r + 1. Let q(c) be the third derivative of -c**4 + c**3\/2 - 1775*c**2. What is 2*q(f) - 7*v(f)?\nAnswer: 8*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/35 or 57106?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8693\/491 - -11801067\/677089. Let d = w - 2\/197. Sort -1\/2, 0.2, d.\nAnswer: -1\/2, d, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 12, 25, 52, 99, 172, 277, 420?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00396154049 rounded to 4 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1126740477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-1000)*12\/21*5\/(-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*r + 3. Solve 0 = r*k - 1 - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -267102344.397 - -0.8\nAnswer: -267102343.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 3:14 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1145 - -718. Let h = 427.0004995 + o. What is h rounded to 5 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 7:07 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 16*a + 232. Let y be g(-14). Solve 3*v - 2*l + 13 = 0, 3*v - 22 = y*v - 3*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-27)*27\/(-1251)*(-1389)\/(-463)\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, t: 4, z: 1, p: 3, o: 4, f: 6}. What is prob of sequence ttf?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, p: 2, k: 2}. Give prob of picking 1 p, 1 b, and 1 k.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/90 and -97\/277340.\nAnswer: 2496060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -11063*p**5\/60 - 2239*p**4\/12 - 7*p**2 + 246*p + 3. What is the second derivative of b(h) wrt h?\nAnswer: -22126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64789897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -440 - -576. What is the remainder when q is divided by 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -13*w + 7. Let c(n) = -16*n + 7. Let z(f) = -5*c(f) + 6*h(f). Let a(u) = -2*u. Give z(a(b)).\nAnswer: -4*b + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -350389.3 rounded to the nearest one thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.13 - -1.04. Let l = 0.11 + f. What is the closest to 1 in -1, 2\/5, 0.07, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 375 + 4446?\nAnswer: 5043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.3. Suppose 17*w + 6*w = -3*w. Which is the closest to w? (a) d (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s - 2. Calculate y(-16).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**4\/12 - u**3\/6 - u**2\/2 + 11*u. Let m(q) = -q**3 - 9*q**2 - 9*q - 10. Calculate 18*i(b) - 2*m(b).\nAnswer: 2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 0 - 6*d**2 + 3\/2*d**3 - 1\/24*d**4 + 0*d. Is 3 a factor of j(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 15378*x**2 - 61560*x.\nAnswer: 3*x*(x - 5130)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6*q - 1 = -4*q, 0 = 2*a + 5*q + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m + 10. What is the greatest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18545773 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -8, -2\/15, -1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 453 - 23?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 14 = -2*x - d, 3*x + 5*d - 31 = 0. Let n(h) be the first derivative of -1\/2*h**x + 1 + h. Differentiate n(z) wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*f + 37*f - 18. Solve f*s = 6*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(-1\/12)*j)\/j)*(j\/j**15)\/j*j)\/(j\/(j*j**(3\/5)\/j))**(3\/14))**(1\/20) assuming j is positive.\nAnswer: j**(-5461\/8400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/60*-18*1. What is the greatest common divisor of 135 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76265?\nAnswer: 5, 7, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6976928 is divided by 73439?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 0\/(3\/3))\/2. Which is the closest to 0.1? (a) 3 (b) 2\/15 (c) j (d) 0.109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 183817, 735230, 1654237, 2940832, 4595009, 6616762?\n\"Answer: -a**3 + 183803*a**2 + 11*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(209)\/((sqrt(11) + sqrt(1584)*1 - sqrt(11)) + sqrt(11)) + (-6*(-1*sqrt(95) - sqrt(95)) - sqrt(95))\/((-2*sqrt(60))\/sqrt(12)))**2.\nAnswer: 377739\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15130243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:18 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1189 - 3953 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2663570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.8 (b) 20 (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11683801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*j = -139*j - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102*c + 1027 - 2066 + 1035)*(c - 2*c - c).\nAnswer: -204*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -105*p**2. Let g(q) = -7*q**2. Calculate g(z(h)).\nAnswer: -77175*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 12*f - 4. What is k(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 10. Let g be (t\/10)\/(7\/(-5)). Let f be -1 - ((-44)\/(-8) + -6)*1. Which is the nearest to g? (a) -1 (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2 = -7. Let a be m - 1\/(3\/(-9)). Suppose -12 = 3*f, a = -0*r - r + 3*f + 19. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 630586*q**4 - 2932*q + 52 wrt q.\nAnswer: 7567032*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 12. Let d be -4 + 2 + 0 - 10. Let m be (d\/(-9))\/(2\/3). Solve 0 = -m*o - 0*o + w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-10)*(-6030)\/(-216) and 7\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -155677375?\nAnswer: -155677372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + (-33 - -139) + -24?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -50*f**4\/11 + 10*f**3 - 16*f**2\/11 - 8*f\/11 = 0.\nAnswer: -1\/5, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119728 - 119752 + 11*v**2 + 239480 + 7*v**2.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255954223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 1:52 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(1\/2) + 5\/5. Suppose 4*r - 2*k = 64, -4*r + l*k + 17 = -49. Suppose 11*v + 20 = r*v. Solve v*p - 4 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4 and 21\/143539?\nAnswer: 574156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 29. Suppose 2*g - 8 = -0. Calculate the remainder when l is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuum when four letters picked without replacement from {w: 5, m: 5, d: 1, u: 6}.\nAnswer: 25\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**3\/3 + i**2\/2 - i + 8. Let h be o(-3). Suppose -5 = -s - 2. Solve d = 2*y - h, d - 10 = -s*y + 2*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 106 + 121 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**7\/2520 - q**6\/360 + q**5\/40 + 7*q**4\/12 - 4*q. Let v(b) be the third derivative of s(b). Suppose v(t) = 0. What is t?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*u + 93*u - 9*u**2)*(0*u - u + 4*u).\nAnswer: -27*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + 1 + (1*sqrt(17)*-2 - sqrt(17)))*4.\nAnswer: -8*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 616 + -617. Sort 5, i, 37 in descending order.\nAnswer: 37, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-1)\/1 + (25 - -3472)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 54*j + 205. What is n(0)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2842 + -811?\nAnswer: -3253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l + 14. Suppose 5*o - 5*t = 105, 3*o = t - 0*t + 55. Let v = -12 - -14. Let y(f) = 2 + v - 9 - 4*f. What is o*y(h) + 6*r(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 9*b**2 + b + 5. Let r = 5 + 13. Suppose f - r = -f. What are the prime factors of a(f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a + 385*a**2 - 28 - 390*a**2 + 30 as u*a + g*a**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9323215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**3 + 2*f**2 + 4*f + 2. Let z(t) = t**3 - t**2 - t - 1. Let p be 1*2 - (0 - 0\/(-7)). Let g = -46 + 47. What is g*o(s) + p*z(s)?\nAnswer: -s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10*b**3 + 7*b**2 - 14*b - 17. Let i(k) = 6*k**3 + 3*k**2 - 8*k - 8. What is -4*f(u) + 7*i(u)?\nAnswer: 2*u**3 - 7*u**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 147, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -k - 30. Let m = -5 + k. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95900 and 689521.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + 50. Calculate the remainder when 21 is divided by (9\/(-5))\/(k\/(-230)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 - 111011220121?\nAnswer: -111011212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {a: 3, k: 12}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-5))\/((-7)\/(-140)). Let p be -4 - w\/(3 + 1). Suppose -4*i + 7*l - 3*l = -188, 3*i - 4*l - 141 = p. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/150)\/((-21)\/5)*21\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + 0.15.\nAnswer: 60.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 115. Let s = g + 910\/9. What is the biggest value in -5, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*m - 14 = 0, 4*f - 4*m - 32 = -0*m. Calculate the least common multiple of f and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 5*s**2 + 3*s - 1. What is the remainder when g(3) is divided by ((-21)\/12)\/(3\/(-24))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**3 + 19*v**2 - 5. Let u = -13359 - -13351. Let f(k) = -5*k**3 - 29*k**2 + 8. Calculate u*z(r) - 5*f(r).\nAnswer: r**3 - 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*d**4 + 4*d**3 - 297*d**2 - 214720*d?\nAnswer: 336*d**2 + 24*d - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 33682 = 2*g, -4*c - 2*g = -g - 33681. Suppose 17*w - c = -2946. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.557 + -13.55745964. Round x to 6 dps.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2\/9 (c) -5 (d) 10\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3499995*g + 30. Let o(t) = -t**3 + 16*t**2 + 2*t - 38. Let f be o(16). Let y be s(f). What is y rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwsnwnsscqssn. Give prob of sequence wf.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d**5\/8 - 591*d**4\/2 + 82479*d**3\/4 - 13089*d**2\/2 - 164949*d\/8 + 6840 = 0.\nAnswer: -320, -1, 1\/3, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f + 6. Let g be u(-6). Let k be (-3)\/g*-2*-4. Suppose 4*j = k*j + 32. Calculate the smallest common multiple of 14 and j.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -384*z**3 + 3*z**2 - 537*z - 13983064?\nAnswer: -1152*z**2 + 6*z - 537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*d - 5*d + 48*d)*(0 - 6 + 3)*(-2 - 1 + 4) in the form m + z*d and give z.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -80. Which is the nearest to -1? (a) t (b) -0.5 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*f + 5*f + 169 + 3*f + (-2 + 2 + 4)*(3*f + f - 3*f))*(-9*f - 4*f + 4*f) to r + a*f**2 + l*f and give l.\nAnswer: -1521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1 (b) 280 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 169883.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*u - 5 = 3, 2*d + 4 = -u. Suppose c - 161 - 258 = d. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbb when three letters picked without replacement from vvvvvvvbbvv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 150 - 62. Let z = -266\/3 + a. Let c be 1*-2*(-4)\/(-8). Are c and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s + 2. Let d be h(2). Let i(c) = -9*c + 2*c**2 + 2 + 2*c - c**2. Calculate the remainder when i(d) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**3 - 2*h**3 - 8*h**3)*(-3*h**2 + 8*h + 5*h**2 - 11*h).\nAnswer: -8*h**5 + 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92.37 - -4847.62695.\nAnswer: 4755.25695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 2.5.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-2\/3)))\/a)**6*a\/a**6*(a*(a*a**(3\/5))\/a)\/a assuming a is positive.\nAnswer: a**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bbb5 + -3?\nAnswer: bbb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 2*s + 4. Let g(u) = u**3 - 9*u**2 - 9*u - 13. Let b be g(10). Calculate a(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(12)\/sqrt(3)*1).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16*-0.009\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 745, 751, 769, 805, 865, 955?\n\"Answer: d**3 - d + 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 2092560*p - 1094701838400.\nAnswer: -(p - 1046280)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316963053?\nAnswer: 3, 11, 37, 86531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/((3\/4)\/(933\/(-1244))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -21*r**2. Let k(q) = 607*q**2. Determine s(k(g)).\nAnswer: -7737429*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 9. Let t be l(-4). Suppose 2*o - t*p - 28 = 0, 2*o + 2*o = -4*p + 28. What is the derivative of 15*v**3 - 6*v**3 - 9*v**3 - o - 9*v**4 wrt v?\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) + sqrt(180)*3)\/sqrt(12) - sqrt(15))\/(sqrt(3)*1*-6 + sqrt(3)))**2.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0407 + -4.\nAnswer: -3.9593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194698 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -236*b + 1425. Determine m(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*v - 56959, -4*a = 37*v - 39*v - 45578. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, -1.\nAnswer: -7, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (2 - -2) - 2. Let q be (-17)\/(2\/(-6) + w). Is q\/15 + (-4)\/10 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 22665*k**2 - 20131425*k + 133940654125.\nAnswer: 5*(k - 3415)**2*(k + 2297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -13*x + 11*x. Solve 4*r = -r - x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -246 + 269. What is the remainder when l is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14 = -2. Let n be (54\/(-10) - -3)*100\/(-30). Sort 3, z, n in decreasing order.\nAnswer: n, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 39996*u + 12. Suppose 11*m - 45 - 65 = 0. Suppose -12*o + m*o + 6 = 0. Let v be q(o). Round v to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.02, -2, -58, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8574*k - 360140. Determine w(42).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*f + 7*f - 42*f)*(-3*f + 3*f - f) in the form b*f + r + k*f**2 and give k.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-138)\/621)\/((-4)\/6))\/(2\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.055 (b) 2\/3 (c) -2\/7 (d) 2 (e) 0.0026 (f) -3 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13498 and -2.17.\nAnswer: 29290.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(500) - 2*sqrt(500)) + -4)**2*-1 - -6*((-1 + sqrt(500))**2 + -4))*2.\nAnswer: -400*sqrt(5) + 4936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t + 28009 = 27306 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -984 divided by -12.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/2 or 7371533?\nAnswer: 7371533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b**2 - 6*b. Let a(t) = -13*t**2 + 11*t. Let y be ((42\/(-18))\/7)\/((-4)\/132). What is y*r(q) + 6*a(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -54. Let w be 10*((-15)\/(-6))\/m. Let t be (2\/1)\/(-2) + w. Calculate the highest common divisor of t and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((12\/(-2))\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45.3 + 44.8. Let t be (-2)\/(-4) - (-21)\/(-30). Put t, -8, a in decreasing order.\nAnswer: t, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11*s**2 - 14*s + 2. Let c(p) = 1. Let t(i) = 4*i**2 + 5*i + 4. Let k(m) = -5*c(m) + t(m). What is -8*k(a) - 3*l(a)?\nAnswer: a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -569\/235 + 1\/47. Is -1 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 5*z**2 + 2*z + 1. Let c(l) = -l. Let q be c(-3). Suppose 0 + 18 = q*g. Is v(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17895696 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 17 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 1, -112, -4 in increasing order.\nAnswer: -112, -6, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 3*a**5\/20 - 7*a**4\/3 + 251*a + 234. Let t(k) be the first derivative of h(k). What is the third derivative of t(v) wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 4*i**2 - i - 5. Let q(p) = -p + 1. Let d(v) = 2*q(v) + s(v). Calculate d(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -83*c - 1077. Let x be f(-13). Sort x, -1, 1, 69 in increasing order.\nAnswer: -1, 1, x, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6559*m + 3. Is y(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 37*m - 396 = 0. Let y(j) = 3*j - 12*j**2 - 5 + 12*j**2 + m*j**2. List the prime factors of y(2).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 48 - 186 = 5*v, 5*l = -10. Let x = -16 - v. Suppose 0*i - x = -5*i. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -83?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 5, 96, -1, -35 in decreasing order.\nAnswer: 96, 5, 4, 3, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2300*g + 4. Let d be n(-3). Suppose 18*r + 406656 = -18*r. Let o = d - r. Round o to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -51\/5, -0.006?\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 236*x**3 + 319*x**4 - 83*x**2 + 329*x**4 - 650*x**4 - 32*x**2 - 2*x wrt x?\nAnswer: -48*x + 1416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-5 + (0 - -2) - (-7 + (37 - 41))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21050 and 110?\nAnswer: 231550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79014.42 millimeters to nanometers.\nAnswer: 79014420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/13, -3, -1.2 in increasing order.\nAnswer: -3, -1.2, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010011000010 (base 2) in base 5?\nAnswer: -300120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:51 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*i = k - 22, -3*i = -5*k + 47. Suppose -5*p - 2*a + 50 = -0*a, 3*p + 4*a - 44 = 0. What is the remainder when 3*k - (0 + -1) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1751 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times 1483874\nAnswer: -163226.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + 0 + 6 + -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 4. Suppose 2*p - 2 = p. Solve 27*n**p + 24*n**4 - 8*n**2 + 70*n**4 + 53*n**4 + b*n - 4 - 182*n**3 = 0 for n.\nAnswer: -1\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 2. Calculate l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 8)*(-3 + 0 + 2)*(2*u + 0 + 0)*(0 - 2 + 0).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520108269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -37. Let d be (-4)\/8 + (-1)\/z*110. Suppose 41 = 4*x - d. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2945 - 2945. Solve 2*n + 5 = -13*d + 18*d, u = -4*d + 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 670675486 to the nearest integer?\nAnswer: 25897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-2) + 684\/14 + (2 - 5)\/(-21)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7613636 divided by -1903409?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9253 and 4907012?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 11:42 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (40\/(-56) + (-40390)\/3136)*1\/(-288) and -55\/9?\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + z**2)*(-2*z + 4*z - z + (4 + 0 - 6)*(z + 3*z - 5*z) - z - 2 + 2 + 14*z + 108*z - z).\nAnswer: 123*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000 (base 5) to base 8.\nAnswer: -36411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h. Let f(x) = -3*x. Let k(g) = 2*f(g) - 7*r(g). Let p be k(4). Let u be (1\/2 - -1)*(p + 6). Solve -3*l - 12 = 5*a - 37, 3*a + l - u = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -25\/7164204 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/128128434 and -22\/28511.\nAnswer: 128128434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 8*h - 6. Let f = 3 - h. What is the greatest common factor of 35 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 47.\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j. Let g be (1 - 0) + 6\/(-2). Suppose 175*h - 178*h + 54 = 2*m, h - 8 = m. Calculate the remainder when h is divided by w(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*o + 40, v + 2 = -0. Let s be 1 + (-75)\/(3\/1). Let t = o - s. Solve -t = 3*x + 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -23.\nAnswer: -23, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21847*u + 55 = 21846*u - 2*f, 0 = 4*u - 3*u + f + 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(6*1\/4728). Suppose 0 = -3*x + 2*y + 917, 0 = 4*x - 2*y - 438 - k. What are the prime factors of x?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1977694 is divided by 392.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10 = -3*m, -i + 1 + 13 = -4*m. Let g = -50 + 54. Let o be 2\/(-5) + 51\/15. Sort m, o, g.\nAnswer: m, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 40849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58859, 58715, 58553, 58373, 58175, 57959, 57725?\n\"Answer: -9*a**2 - 117*a + 58985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00281657 rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5 + 4*x + x + 3*x - x**2. Suppose 0 = 2*j - r - 3*r - 10, -25 = -5*j + 5*r. Is 5 a factor of t(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2949 and 0.241.\nAnswer: -0.0539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*2.6.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2234694*k**3 + 5*k**2 - 482*k - 34.\nAnswer: 13408164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 44. Give d(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299978?\nAnswer: 2, 7, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 26. What is g(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 - 3*a + 25 + 27)*(0 + 2*a + 0)*(1 - 1 - a).\nAnswer: 6*a**3 - 38*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 146 = -184. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*o = 5, 0 = 5*s + 2*o + 3*o + 5. Let n = 11 - s. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10785 is divided by 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -16*a - 123. Sort -6, 6, a in descending order.\nAnswer: 6, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = -0*s - 32. Let u be ((84\/35)\/s)\/(3\/(-10)). What is r in 0*r - 3\/7*r**u + 0 - 1\/7*r**5 + 0*r**2 - 2\/7*r**3 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46320168?\nAnswer: 2, 3, 1201, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4590, -9180, -13768, -18354, -22938, -27520, -32100?\nAnswer: -36678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 124273 - -1?\nAnswer: 124274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4185)\/(-6305)*-6 + 24 + -20 and -37\/91.\nAnswer: 8827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9834*g. Let y(z) = -1135*z**2. What is o(y(f))?\nAnswer: -11161590*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovo when three letters picked without replacement from oovooovoovooovoooo.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x - 2. Let h be t(-1). Suppose -3*c - h*m + 21 = 8, 2*c - 13 = 3*m. Solve 2*w = 3*r - w + 9, 3*r = -c*w - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1020 divided by 170\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26946037908 plus 0.22?\nAnswer: 26946037908.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14335401 - 7483986\nAnswer: 6851415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -37\/3, 5, -2\/3, -0.06?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:43 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 49*q**3 + 74*q**3 - 3*q - 29 + 65.\nAnswer: 25*q**3 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-1)\/(2 - 0)). Suppose -4*u + 2 = -q + 4, -o*q = 3*u - 4. Let g = -35 + 50. Solve g = q*z + 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211970 is divided by 201?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-25)*100\/10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-5\/18)\/r)\/r)\/(r*(r**24*r)\/r))\/((r*r**(-31\/5)\/r*r)\/r)**(15\/2) assuming r is positive.\nAnswer: r**(173\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*a**3 + 1317*a**2 + 576*a + 60 = 0. Calculate a.\nAnswer: -10, -2\/7, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -52. Let t = 3 - -1. What is the remainder when b is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + -b?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 2*sqrt(13))**2*3 + 0.\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8283, -16568, -24853, -33138, -41423?\n\"Answer: -8285*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*n**4*u**2 - 4*n**4*u - 2*n**4 + 87*n**2*u + 2*n*u**2 wrt n.\nAnswer: -264*n*u**2 - 96*n*u - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/33812010 and -62\/9.\nAnswer: 33812010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 4:23 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -783.34751 rounded to 2 dps?\nAnswer: -783.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-76)\/(-63)*-1 + (-210)\/(-147). Let u = -2 - 1. Put x, -1, u in descending order.\nAnswer: x, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261 and 10991?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-36)*r*r)**33)**18)**(-37))**(-9\/2) assuming r is positive.\nAnswer: r**(-3362634)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0365653+2\nAnswer: 1.9634347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2180 divided by -436\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**3)\/d**(-2\/31))\/((d*(d\/((d*d**(-7\/6)*d)\/d))\/d)\/(d*d\/(d*d*d**(-48))*d)) assuming d is positive.\nAnswer: d**(8537\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10800 divided by 2160.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 421 + -213. Let h = y + -208.139. Let l = h + 0.039. What is the fourth biggest value in 3, 2, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5278 and 455?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**2 - 9*b + 37. Suppose -85 = 14*m + 83. Is g(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4213516 rounded to three decimal places?\nAnswer: 1.421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1045 is divided by 104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*m + 28 = 0, 0 = 2*f + 116*m - 118*m - 8. Put -9, 20, f in ascending order.\nAnswer: -9, f, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 7*s**2 + 9*s + 13. Calculate the least common multiple of t(-5) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (-5*(2*sqrt(85) + sqrt(85)))\/(sqrt(45)*2).\nAnswer: -5*sqrt(17)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (39 + -128 - -45) - ((-2 - 6) + -2).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m - 3. Let h(u) = 2*u**2 - u + 10. Let f be h(-6). Let r = 41 - f. Let n = r - -44. Determine o(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/8 - (-63)\/84 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**5 - 4*s**4 - 3*s**3 + 12*s**2 + 18*s + 10. Let m(i) = -2*i**5 + 4*i**4 + 4*i**3 - 11*i**2 - 17*i - 11. Let x(d) = -2*m(d) - 3*v(d). Factor x(u).\nAnswer: (u - 2)*(u + 1)**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 113 = -3*x, 652 = 3*x + 150466*z - 150479*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*n - 2*n - 6*n)*((3 - 7 + 2)*(-7*n + n + 3*n) + 3 - 3 - n) to the form f*n + j + s*n**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/5? (a) 0 (b) -0.5 (c) -2 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -12*m**5 + 1242378*m**4 - 128599163739*m**3\/4 - 1350866190759*m**2\/4 + 699545127987*m\/4 - 88447802553\/4 = 0.\nAnswer: -11, 1\/4, 51771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, t: 7}. What is prob of picking 2 t and 1 c?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 252.1 and 1.5?\nAnswer: 250.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*p + 26*p - 46*p + 31*p + 33*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-275)\/(-2200))\/(14\/(-32))*2\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 11*v + 16 + 0*v - 3 + 7 in the form h + c*v and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(325) + (-2 + sqrt(325)*2)**2 + -4*(-3*sqrt(325))**2 + -3.\nAnswer: -10399 - 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*z - 50*z - 165 = 0. What is the highest common factor of 1584 and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/3*(4 - 3). Solve -30 = -8*v - o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101414731?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7944600 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 286303599 and -0.5.\nAnswer: -143151799.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**5\/3 + 176186*b**4\/3 + 107435764*b**3\/3 + 21806663560*b**2\/3 + 1483902583184*b\/3 + 1462203179200\/3 = 0.\nAnswer: -202, -1, 88700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2310502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 7*d**6\/120 - d**5\/10 + d**4\/4 - d**3\/3 + 24*d**2. Let k(s) = 13*s**3 - 11*s**2 + 11*s - 3. Calculate -6*k(t) + 11*l(t).\nAnswer: -t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2726 and -0.69160581.\nAnswer: -2726.69160581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 2. Suppose -h = k + 4*k - 14, k = 4*h - 14. Suppose -k*v - v = -21. What is the remainder when v is divided by y(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17284887.2 - 265\nAnswer: -17285152.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 3*y - 12. Let c be ((-3)\/(-18))\/(y\/(-6)). Let a = -5.5 + 6. Is a at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/12 (b) -5 (c) 1\/8 (d) 11\/14 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -34 (c) -4 (d) -0.06 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -9. Let y = m - 7. What is the second smallest value in y, 3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -138?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(3\/2)*c)\/c*c**(-19)\/c assuming c is positive.\nAnswer: c**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -331111202 (base 6) in base 13?\nAnswer: -12ca355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -32a0a08?\nAnswer: -32a0a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 4*a + 6. Let p be 3\/(-2) + 2 + 515\/10. Suppose -13*y + 0*y = p. Let s(w) = 5 + 3*w - w + w - w**2. Give y*s(t) + 3*x(t).\nAnswer: t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d + 0*d**2 + 3*d**2 + 6 - d. Does 13 divide h(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 7 - (3 - 1 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16324 and 239306872.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**(-6)))*k**6)**(-25)*(k*k*k**(-2)*k**(-3\/5))**(4\/5) assuming k is positive.\nAnswer: k**(-637\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 16 - 4*b - b**3 + 3*b**4 + 0*b**4 - 5*b**4 to g + c*b + d*b**4 + u*b**3 + v*b**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58910797 is divided by 47?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i = 12. Suppose 0 = -5*y + 2*f + 37, 4*y - f + 5*f - 52 = 0. Suppose -y*j + i*j - 25800 = 0. Round j to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 8. Suppose 112586*v - 112626*v = -320. What is the least common multiple of i(0) and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4251.287 milliseconds in seconds?\nAnswer: 4.251287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**5 - 78*n**4*o + 2*n**2 - 6*n*o - 21 wrt n.\nAnswer: -240*n**2 - 1872*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + -3*12\/(-9). Let z be (143\/j)\/1 - (-9)\/(-18). Let w = z - 80. Let t(c) = c**2 + 9*c - 1. Calculate t(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/3106, -2\/13, 5, 121 in decreasing order.\nAnswer: 121, 5, 4, 3\/3106, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 8, -0.5, 656, -3\/7, 4, 3\/14, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3690*j. Let v(l) = -736*l. Let i(o) = 2*a(o) - 10*v(o). Let r(m) = -4*m**2 + 2 - 2. What is i(r(c))?\nAnswer: 80*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 5*y - 8. Let f(r) = -2 + 1 + 0. Let i(n) = -2*f(n) + u(n). What is i(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10*(-11 + 10))\/((-9)\/(-558))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5784, -15608, -25432, -35256, -45080?\nAnswer: -54904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-290)\/261*36\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 3*s - 9, 250 = p + 2*s + 256 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 12) + (-14)\/588*-14*-15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 5*b - 4. Let r = 65 + -70. What is v(r)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*n + x + 10, -n + 15 = 3*x. Suppose o - 4 + 2 = n. Is (-5 - o\/6)*-39 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 31.3. Let y be (-1)\/3*6\/4. What is the smallest value in y, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5142*d - 2212*d - 2905*d.\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1, 0.1, 260?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 14120386622*d**3 - 14120386485*d**3 - 15.\nAnswer: 137*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 4, 12, -3, 2039 in descending order.\nAnswer: 2039, 12, 6, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/24)\/(3 - 12\/32). Let o = 828 - 829. Which is the second biggest value? (a) 0.2 (b) o (c) x (d) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 270 - -529. What are the prime factors of s?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62325151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*h + 290, 3*q - 4*h = 782 + 98. Suppose m - q = -3*m. Suppose 0 = 4*f - 7 - m. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 8 = -2*f - 4*j, 357*f + 6 = 358*f + 3*j for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-42)*u\/(u*u**(2\/77)))**6 assuming u is positive.\nAnswer: u**(-19416\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25355 is divided by 1162.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(5 - 4 + 18)*(0*s + 0*s + s)*(0*s + s - 2*s).\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 10:38 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*y = 234*y - 74*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9722, -3, -874 in increasing order.\nAnswer: -9722, -874, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 8*p + 12 = 4*u, p - 9 = -3*u. Solve -4*q - s = 5, q - 5*q + 3*s - 17 = p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3405900?\nAnswer: 2, 3, 5, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 15*k**2 - 13*k - 13. Let w be v(14). Solve 0 = -n + 2*n + w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -437, -448, -467, -494, -529?\n\"Answer: -4*u**2 + u - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6138 - 2352. List the prime factors of k.\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 2*g + 2*g)*(340*g**3 + 15 - 6 - 3 - 6).\nAnswer: -340*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*20\/24)\/((-10)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 10 = 7*w. Let r be 4 + (-3 - (w + -9)). Suppose 0*p + r = 2*p, 5*p = 2*s - 516. List the prime factors of s.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29396 equal to 29388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*(576\/(-27) + 20)*170\/(-70).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.3, -4, -6\/7, 11\/225 in descending order.\nAnswer: 11\/225, -0.1, -0.3, -6\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 21?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + (1 + sqrt(243))*-2)*3.\nAnswer: -54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3686 is divided by 99.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13611*a + 3375*a + 3376*a + 3375*a + 3481*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 32 + 0 + -350 + (-393 - -756)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -77. Suppose b - 11*b = -o. Suppose 0 = 6*g - b*g - 1201. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**5 + 51*n + 6*n**5 - 65*n + 10*n**5 wrt n.\nAnswer: 260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:05 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18739*u + 22073 wrt u?\nAnswer: -18739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5231527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -180809, -180817, -180825, -180833?\n\"Answer: -8*b - 180801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (176*m**2 - 21*m**2 - 2*m**2)*(0 + 0 + m - m**2).\nAnswer: -153*m**4 + 153*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 4*u**3 + (-2*u - u + u)*(-u**2 + 4 - 4).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -268 + 268. Suppose r = 5*u - 5*f - 40, 0*f + 2*f - 26 = -5*u. Which is smaller: 5 or u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 8) to base 14.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o - 22 = 0. Let z = o + -4. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) + 3)**2.\nAnswer: 108*sqrt(5) + 1629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-5)\/2)*-10. Suppose w - 24 = -4*t, -2*t = -3*w + t + 132. Calculate the greatest common factor of s and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360229 rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6055 (base 9) to base 15.\nAnswer: 149e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1))**(-5\/18)\/((h\/(h\/(h*h\/(h*h**(-1\/3))*h*h)))\/(h*h**(-5))))**(36\/7))**(-1) assuming h is positive.\nAnswer: h**(264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 - 1921511*j**2 + 230762542506*j + 57690755721 = 0. Calculate j.\nAnswer: -1\/4, 240189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a**2 - 62*a - 273. Let b(x) = -15*x**2 - 92*x - 409. Let o(f) = -5*b(f) + 7*g(f). List the prime factors of o(-13).\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16334534 (base 7) to base 14.\nAnswer: 2d4d8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5*sqrt(153)*1 - sqrt(153) - sqrt(153)) + 2*(sqrt(153) - (0 + sqrt(153) + -5) - sqrt(153) - sqrt(153)))**2*6*2.\nAnswer: -576*sqrt(17) + 2604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -22. Suppose 28 = -k*o - 2*o. Let h(f) = -f**2 - 19*f + 1. What is the units digit of h(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1219536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + m = 32. Suppose -m*r = 3*j - 5, -3*j + 2*j + 1 = r. Solve 0 = -4*v + c + 8 + 4, -3*v + 9 = r*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 67*p**3 + 12 + 6*p + 21 - p.\nAnswer: -67*p**3 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1958688 divided by -72544\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - sqrt(180)*-1*-1)\/(sqrt(10) - (sqrt(10) - sqrt(30)\/(-2*sqrt(3) + sqrt(3)))))\/((-2*1*sqrt(6) - sqrt(6)) + (sqrt(6) + sqrt(12)\/sqrt(2))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bblsess. Give prob of sequence les.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -0.2, 3, 2\/9 in ascending order.\nAnswer: -64, -0.2, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 428.70605 and 11?\nAnswer: 417.70605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 12:41 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62330*o**2 - 383573*o**2 - o + 0*o.\nAnswer: -445903*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 1, h: 5, j: 1}. Give prob of picking 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -190*g**3 + 4*g**2 + 8*g - 13. Calculate v(1).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.09, -13, 0.3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 0.5, -5, 141614, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**5*n + 3979*k**2*n + 68*k*n - 2*k - 87 wrt k.\nAnswer: -40*k**3*n + 7958*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + -1*sqrt(99)*5 + (sqrt(99) - (sqrt(99) - ((sqrt(99) + 0 - sqrt(99)) + -4) - sqrt(99)) - (-4 + (sqrt(99) - -1*sqrt(99)))))**2.\nAnswer: 180*sqrt(11) + 3589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00054532109 to 7 dps.\nAnswer: -0.0005453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 6:50 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22.21 + 153\nAnswer: 175.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*((-4)\/6)\/(2\/3). Is 14 a factor of (-10)\/(-4) + 3\/h + 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 117\/(-15) + (-1212)\/(-202). Let f = 7.7 - 8. Which is the biggest value? (a) n (b) f (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*f + 8*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 219484808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -7556, 1, 4, 0 in ascending order.\nAnswer: -7556, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*o - 2850 = -525*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2. Suppose -5*w - 25 = -4*u + u, u + 5*w = -25. Let b(v) be the second derivative of 2*v + 0*v**2 + u - 1\/12*v**4 + 0*v**3. Give x(b(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2\/13 - 41834*s + 48929580\/13 = 0.\nAnswer: 90, 271831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 2*h + 6. Give c(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 128213 or 1666768\/13?\nAnswer: 128213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-7 + 9)) + -2 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.54136057 to 3 decimal places.\nAnswer: 4.541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/21)\/(12 + 360\/(-27)). Let z(k) = -k. Let f be z(-1). Is f less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2654094659.\nAnswer: 39779, 66721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -20 + -4 + (-25 - -37) + (2 - -1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-50)\/16) + (67 - 71). What is the fifth smallest value in z, -1\/5, 0.08, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 11*t - 4. Let f be k(-7). Suppose 0 = 3*q + 4*g - f, 3*q - 4 = 3*g - 1. What is the least common multiple of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v - 2*v)*(2*v + v + 2*v + (1 + 1 - 3)*(-19 - 3*v + 19)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 12.73.\nAnswer: 12.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.109 + 550.791. Let q = 551 - n. Which is greater: -157 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -17*k**2 + 6*k - 5. Let b be r(4). Let s = b - -700. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3670.97 to the nearest 10.\nAnswer: -3670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 0. Let j = 8.8 + -1.8. Let u = j - 11. What is the nearest to -1\/3 in u, g, -5\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 0*z + 29 + 2\/3*z**3 + 1\/2*z**2. Give g(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33598?\nAnswer: 2, 107, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 20*u - 1133. Calculate the remainder when 251 is divided by f(58).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121*y**6 - 3*y**5 - 17*y**4 - 4*y**2 + 104*y - 6 wrt y.\nAnswer: 14520*y**3 - 180*y**2 - 408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 114317566 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46\/(-11) + (-28)\/(-7). Which is the biggest value? (a) 6 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.58 - 2.\nAnswer: 8.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.7, 2462, 376?\nAnswer: 376","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -57224356\nAnswer: -57224356.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + o. Let p(m) = 5*m**2 + 12*m - 3. Let v(j) = p(j) - 6*t(j). Let s be v(4). Let k be 5 - 3 - (-1 + 0). Sort k, 4, s in descending order.\nAnswer: s, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 11*o**4\/4 + 17*o**2\/2 - 28. Find the second derivative of s(f) wrt f.\nAnswer: 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937313219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -102 + 5 + (-2 - -3). Let v = d + 145. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r - 16. Suppose 32 + r = k. What is the greatest common divisor of k and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2907993 and -68\/74814729.\nAnswer: 822962019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -20. Calculate the remainder when 29 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15411 and 330?\nAnswer: 154110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1098174.8 and 9393.\nAnswer: 1107567.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39519341*n**3*s**2 - n**3*s + n**2 + 58880*n*s**2 - 32*s**2 wrt n.\nAnswer: 237116046*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 - 1104401?\nAnswer: -11043b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2*k**3 + 13 - 1 - 18.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168501693 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92147?\nAnswer: 11, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*m - 362. Let t = 80 + -43. Suppose 5*x + 5*a = 4 + m, x - t = -3*a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10106, -18824, -27542, -36260, -44978?\n\"Answer: -8718*x - 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 157?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -20, -23.225 in decreasing order.\nAnswer: -4, -20, -23.225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 4, -5, 3, -1, 11 in decreasing order.\nAnswer: 16, 11, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**5 + 196230*g**4 + 3208262277*g**3 - 19258404942*g**2 - 28882210656*g + 44932157088 = 0?\nAnswer: -32708, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -4. Let n = 2 + -1. Calculate the remainder when -3*(n - (-51)\/(-9)) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3\/5 - 3312*q**2\/5 - 116316*q\/5 - 1038096\/5 = 0. Calculate q.\nAnswer: -1068, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.39 and -33729112651?\nAnswer: 33729112653.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g**2 + 5*g - 5. Let d be m(-3). Round d to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*m + 69*m + 308 = 164*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -5*n + 6*n + 102, 38*n - 32*n = 2*m - 52 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-546)\/(-189) - 2*(8 + -5)?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (228 - -24)*(-14)\/(-6). Let f = -338 + w. What are 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 ten thousands digit of 3428034747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 4*k + 0*k)*(11*k - 20*k - 2*k**2 + 16*k).\nAnswer: 2*k**3 - 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010100101 (base 2) to base 9.\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -282539, -282519, -282503, -282491, -282483, -282479?\n\"Answer: -2*l**2 + 26*l - 282563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11345133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 6) to base 16.\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -434155 or -433912?\nAnswer: -434155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*d - 421 = -0*z, 5*z - 2235 = d. Suppose 4*q = 2*q + z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/12*(-6)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-55255)\/(-430) + (-17)\/2. Solve 126 = 3*u + o, 4*k - 4*u = -20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4 + 9.4. Let z = g + -8.04. Let l = z - 0. Round l to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/174 and 17\/2?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 18*d**2 - 23*d - 8. Determine p(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 224 * -39.77\nAnswer: -8908.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 540 and 0.2.\nAnswer: 540.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 201aa2?\nAnswer: 201aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven tenths of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2617 is divided by 1018?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/6 + 119518\/42 + 24.\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**3 - 7*k**3 + 6*k**2 + 6 - 3*k + 11*k**3. Let l be u(5). Suppose -34 = -t + l. Calculate the greatest common divisor of t and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -540*y**4 + 3*y**3 - 51*y - 11. Let n(l) = -538*l**4 + 2*l**3 - 52*l - 9. Let o(v) = -2*k(v) + 3*n(v). What is the second derivative of o(d) wrt d?\nAnswer: -6408*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 4.59072?\nAnswer: -4.59072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(sqrt(1900) + 1) - (sqrt(1900)*2 + sqrt(1900))*-3 - (-4 + 2 + (sqrt(1900)*-2 - sqrt(1900))))**2.\nAnswer: -153901 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at least -14.85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10525232404 + 0?\nAnswer: -10525232404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 135, 452, 1071, 2094, 3623, 5760?\nAnswer: 8607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 522249067*d**3 - 897427*d**2 + 14*d + 1?\nAnswer: 3133494402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = 8*j, 4*o - 199 = j. Let g = o - 47. Let s(i) = -11 + g*i + 0 + 5. Give s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17*f**2 - 813*f + 2771. Calculate s(44).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + sqrt(1331) - (4 + 1 + sqrt(11) - sqrt(11))) + (sqrt(11) - sqrt(99)\/sqrt(9)) + 3 + -2 + sqrt(1100).\nAnswer: 5 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 divided by 6?\nAnswer: 104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v = 25. Suppose -2*l + 0*l = v*j - 31, -2*l - 2*j + 16 = 0. Let g be l - 2 - (1 - -120). What is g rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 3 (c) 29 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*w = -21*w + 12*w - 224 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/3*588\/2058?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -56. Let y = -22 + x. Calculate the lowest common multiple of y and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -7. Suppose -3*f = -f. Suppose f = -0*j - 4*j + 8. Solve -3*w = -g - j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 6. Let r be 64\/20 + -1 + -2. Let v = 0 - 0.2. Sort l, v, r.\nAnswer: l, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-44)\/110)\/((-4)\/(-10)). Which is smaller: k or 3\/1669?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*-0.02.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + (23 - 33) + (-1 - (3 - 10)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -16*t - 7. Let j(z) = z**2 - 12*z + 6. Let c be j(11). What is the units digit of w(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-25)*a**(-11) assuming a is positive.\nAnswer: a**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 34 = -l + 2*l, 0 = 4*l + 8. Suppose -5*t + i*t - 471 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1326 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3456, -3438, -3402, -3342, -3252, -3126?\n\"Answer: x**3 + 3*x**2 + 2*x - 3462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12353240 divided by 6176620.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 5206 - 10003 = 7801. Is -2301 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 12*i**2 + 115*i + 6. Calculate c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*c, c - 2 = -4*q + 17. Suppose -2*d - 1 = 4*z + q, 21 = 3*d - 4*z. Suppose 4*f - 67 = d*f. What is the remainder when f is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59.08 in 0.1, -76, 1?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 32*o**3 + 2*o**2 - 1. What is the remainder when ((-132)\/(-693))\/(6\/(-423))*-7 is divided by w(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 255\/(-6) + 0 + 3\/2. Let d be (26 + s)*(-2)\/(-3)*-2. What is the highest common factor of d and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(175) + sqrt(175))**2 + (0 + sqrt(567) + 1)**2 + 4 + 2 + (sqrt(539)\/(sqrt(11)*1) - sqrt(49))\/sqrt(7).\nAnswer: 118*sqrt(7) + 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2166)\/49096)\/(12\/(-32)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25684, -25679, -25664, -25633, -25580, -25499?\n\"Answer: x**3 - x**2 + x - 25685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.09 + -1.59. Let x = a + 2.6. Let j = x - 5.1. Put 3\/2, j, -0.1 in descending order.\nAnswer: 3\/2, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**4\/114 + 10*r**3\/57 - 9*r**2\/19 + 8*r + 3. Factor m(x).\nAnswer: -2*(x - 9)*(x - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -19\/5, -2, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-25))\/(((-71728)\/(-32))\/(5\/(-2))). Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -32 + (-4 - (5 + -23))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 5084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2425 + 16924. What is the highest common factor of s and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 325*m**4 + m**3 + 25*m**2 + 228549*m.\nAnswer: 3900*m**2 + 6*m + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/5 + 8*w**3\/5 + 2*w**2 + 4*w\/5.\nAnswer: 2*w*(w + 1)**2*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-6 - ((4 - -1) + -8))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3880?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = -b. Suppose 16 = b*l + 2*l. Suppose -l*z = -3*z - 2. Solve -z*a + a + 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 4*n**2 - 4*n + 2. Let z be l(2). Let f = 2 + z. What is the least common multiple of 3 + -2*f\/8 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, -18, -72, -158, -282, -450?\n\"Answer: -l**3 - 7*l**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, -36 in decreasing order.\nAnswer: 1, 0.5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1396525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 1. Let c(n) = 810197*n - 2. Determine c(u(h)).\nAnswer: 810197*h - 810199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24978 + -24977. Let m(o) = -9*o**2 + 6*o - 6. Calculate m(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -529*q**5\/4 - 87*q**4\/4 + q**3\/3 - 10725*q**2. Find the second derivative of m(a) wrt a.\nAnswer: -15870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*j - 4 + 26 = 0, 0 = -4*c - 4*j + 28. Let r = -557 + 558. Calculate the smallest common multiple of (-4)\/c + (-20)\/(-12) and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25929431?\nAnswer: 11, 241, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21 and 514.\nAnswer: -107.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by -285002?\nAnswer: -59\/285002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123453 divided by -41151.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 - 210\/(-51) - (-6 - -2). Let u be 42\/18 - (-2996)\/(-1428). Determine v, given that 16\/17 - 12\/17*v**4 + 24\/17*v - u*v**2 - 22\/17*v**3 - t*v**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uodrvvdurmvv. What is prob of picking 1 v, 1 o, and 1 u?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42488, 84979, 127470, 169961, 212452?\nAnswer: 254943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 32. Let o be a(-14). Let j = 17 - o. Let m(x) = 25*x**2 - x - 1. What is the tens digit of m(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3472.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x + 0 + x + 2 + x**3. Let d(p) = -4*p**2 - 11*p - 4. Let g be d(-2). What is the units digit of o(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**3 - 11*i**2 + 5. Let c(f) = -f**2 - f - 1. Let p(g) = 11*g**3 - 11*g**2 + 6*g + 14. Let b(m) = 6*c(m) + p(m). Give 5*b(o) - 8*t(o).\nAnswer: -o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -3040?\nAnswer: 3034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 0 + 1\/6*g**3 - 2*g + 9\/2*g**2. Is 2 a factor of t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9)**(2\/21)\/(p*(p*p**12)\/p*p*p\/p**(21\/5)*p) assuming p is positive.\nAnswer: p**(-383\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-42) + (-3)\/(-7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000296 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 853 = 217. What is the remainder when w is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by -23.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r. Let l(y) = -25*y + 9. Let v(j) = 6*j - 2. Let f(s) = 2*l(s) + 9*v(s). Determine g(f(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 7056*s - 1681294.\nAnswer: -2*(s - 3271)*(s - 257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 5 - (1 + 1 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 - 8*j**2 - 9*j - 14. Let p be v(-3). Sort 356, p, -3.\nAnswer: p, -3, 356","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -506.\nAnswer: -1\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 11:51 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, j: 1, r: 2, s: 4, f: 7}. What is prob of sequence srjv?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/19)\/(c\/(c\/(c*c**(-8)*c)*c)*c))**(24\/5)*(((((c\/((c**(-1\/3)*c)\/c))\/c)\/c)\/c)**(-42))**44 assuming c is positive.\nAnswer: c**(295384\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24\/4 - (1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 593.2 - 886.5. Let x = -275.71 - 1.29. Let c = v - x. What is c rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39, 153, 335, 579, 879?\n\"Answer: -k**3 + 40*k**2 + k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 314231?\nAnswer: 314225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-16)\/208)\/(1*2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 264 - 264. Let a = 4.1 + -4. Let i = -0.5 + 1.1. What is the closest to -1\/3 in i, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 + 50. Let h be 1*(-3 - -1) - v. Suppose 3*d = 9 + h. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -198\/5 or -0.1?\nAnswer: -198\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 867888 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202212111212 (base 3) to base 15.\nAnswer: -81abb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 5*k - 36 = -12. Let g(o) = o**3 - 9*o**2 + 7*o + 5. Give g(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/9 or -685?\nAnswer: -685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 0) + (-89 + -121 - -181)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9060 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.210751 + -4?\nAnswer: -4.210751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -58282100 to the nearest 1000000.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 52.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 465 by -512.\nAnswer: -465\/512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-15)\/(q\/(q**9\/q)) assuming q is positive.\nAnswer: q**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:17 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2))**(-7\/11)\/(r**(9\/4)\/(r\/(r\/r**(1\/4)*r))))**(-33) assuming r is positive.\nAnswer: r**(177\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 9:53 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/136 and 4\/(-15) + 3141\/18360.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 = 3*b, 0*q - 11 = -2*q - b. Suppose 0 = q*u - 9 + 3. Differentiate -7 + 2*c**u + 3*c**2 + 3 - c**2 wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 9:41 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16 - ((-114)\/30 + (-1)\/5). Suppose -u = -5*m - 5. What is the tens digit of (536\/12)\/(2\/m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4817, -4 in descending order.\nAnswer: 4817, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/5 (b) 4 (c) -1.6 (d) -4\/19 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1132441022 (base 5) to base 10\nAnswer: -2624512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.399975 - -3.4. What is p rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -916036 or -1832073\/2?\nAnswer: -1832073\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m + 3*m + 0*m + (2*m - 1 + 1)*(3 - 3 - 1) + 23 - 23 + 30*m + (-6*m + 4*m + 0*m)*(0 - 1 - 1) + 3*m + m - 3*m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 1 + 101 + -58?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -729*u**2 - 1272*u - 1284*u + 2554*u + 8*u**3 to the form g*u + j*u**3 + b + t*u**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -63615, -254560, -572801, -1018338, -1591171?\n\"Answer: -63648*b**2 - b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 740665 and 2173.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-2 + -14 + 10)) + 4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 7*b + 98 = 0, -637 = -5*k - 4*b - 689 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 2696.\nAnswer: 8088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**9\/432 - 7*m**5\/120 - 2*m**3\/3 + 6. Let f(z) be the third derivative of t(z). Find the second derivative of f(h) wrt h.\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.876 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -d5b5a (base 15) in base 9?\nAnswer: -1242384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525*t**2 - 1090*t**2 + 582*t**2.\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {a: 1, c: 2, v: 3, w: 1, m: 3, b: 5}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 12) in base 6?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750*u - 4312 = -694*u. Suppose 0*k + 5*k - l = 436, 5*k = 3*l + 438. Let i = u + k. Is 10 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0. Let j = 16 - 14. Which is the third biggest value? (a) o (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27528 and 1036?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8807800*a**5 + 29*a**2 - 1168795722*a wrt a?\nAnswer: 176156000*a**3 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 92?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(1 + ((-4 + (sqrt(125) - (sqrt(125) + -1 + sqrt(125))) + sqrt(125) + sqrt(125) - sqrt(125) - (-1*(0 + sqrt(125)) + sqrt(125))) + -3)*6))**2.\nAnswer: -264600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + p + 0*p - 3 + 4*p. What are the prime factors of l(3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -23*g + 16. Is g greater than 70\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r**2 - 127*r - 134. Determine v(-12).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/(-118)*7\/(-21)*(-5)\/(3\/(-3)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 2 - (-3 + -2). Suppose 0 = -k*f - 3*j + 2*j + 3, -f - 3 = j. Solve 3*o = -3*b + 7*b + 9, 0 = -5*o - f*b - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 87964790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.3085719 rounded to three dps?\nAnswer: -36.309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Let f = o + 1. Let d = 2.07 + -2.07. Which is the nearest to -0.1? (a) 2 (b) f (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*h - 284, -h + 6*h = 20. Suppose 5*m + 4*v = -97, 2*m - 5*v + 4*v = -44. Let b = m - o. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*t = -1 - 19, t = z - 24. Let d be (-11)\/40 + 10\/z. Sort -4, d, -0.3.\nAnswer: -4, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*z, -t = z - 3 + 10. Which is bigger: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*j + 160 = 0. Suppose 5*z = 3*m + 16, 3*z + 0*m = 5*m + j. Suppose 3*s - 301 = -2*w, -z*w + 4*s + 271 = s. Is w a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47648, 47652, 47656, 47660, 47664?\nAnswer: 47668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013464 rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = 3*a + 2*a. Let z be ((-18)\/5)\/((-12)\/a). Let i = z + 22. What is i rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -6 + 2 + -2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603*y - 23432 = -205*y for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(3\/7))**34\/(((g\/g**(-1\/6))\/g)\/(g\/(((g*g**(-14\/5)*g)\/g)\/g*g))) assuming g is positive.\nAnswer: g**(10753\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 354718 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2033010.\nAnswer: 2, 3, 5, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 5. Let u be j(-5). Suppose -5*o - 10 = -5*y, -4*y - 16 = 4*o - u*y. Let v(c) = -2300001*c - 3. Let m be v(o). Round m to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2335215, 4670427, 7005615, 9340767, 11675871, 14010915?\n\"Answer: -2*k**3 + 2335226*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 3*v - 2*v)*(2 + 2738*v + 1373*v - 863*v) in the form f*v + o + h*v**2 and give h.\nAnswer: 9744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = 2*q + 8, q = -v + 5. Suppose 0*u + 3*u + 2*c - 324 = 0, -6 = -q*c. What are the prime factors of u?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 73, 105, 135?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-224)\/(-140)*(-5)\/(-2). Suppose m - 35 = -z - 3*m, g*m + 60 = 4*z. Calculate the remainder when 72 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136.7 + 125. Let g = l + 12. What is g rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgthnnnqtqtnqqn. What is prob of picking 1 g and 2 t?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.184 - 0.15. Let k = -0.0303 + i. Round k to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 716\/10 - 6\/10. Suppose 2*g + d = 15. Let q = g + 42. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 20*q**4 - q**2 - 23*q**4 - 2 + 7*q - 8*q as l + g*q**3 + n*q**2 + a*q + s*q**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + sqrt(567))**2)*4 + 4 + 5.\nAnswer: -72*sqrt(7) + 2265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-78)\/(-72) + (-2)\/(-2 + 8). Let j = 1.8 + -0.8. Which is the closest to h? (a) j (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(726) - sqrt(6)) + sqrt(171)*1.\nAnswer: 31*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26121 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 584562583, 584562579, 584562573, 584562565, 584562555, 584562543, 584562529?\nAnswer: 584562513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 8:29 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8*0 + 1. Let g = -129 - -132. What is the hundreds digit of (j\/(0 + g))\/((-3)\/(-1413))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sffzzsfssfsssfzfzss. Give prob of picking 1 z and 1 s.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0 = -33. Let o(a) = -2*a - 5 - w*a - a**2 + 4*a. Is o(-7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -92\/5, -4, 3\/5, -7?\nAnswer: -92\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 + 5*i - 10. Let l be t(2). Suppose u + 4*u = 40. What is the highest common factor of u and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 29 - 17*c**2 in the form a + r*c**2 + o*c and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-42))\/(l**(-18)\/l) assuming l is positive.\nAnswer: l**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2649 - 2646. Let l = 33 + -21. Solve 3*c = i*d + 9, 0 - l = -4*c - d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4637 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 12:37 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/72606 and 73\/14.\nAnswer: 508242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1.4. Let y = 0.83 - 0.07. Let h = y - 0.26. What is the biggest value in -0.1, a, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 490 and 49656670.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 - 3 - 3*j**2 + 6)*(-5*j + 2*j + 8 + j).\nAnswer: -4*j**3 + 16*j**2 - 6*j + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85458?\nAnswer: 2, 3, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9967, 9871, 9709, 9481, 9187?\n\"Answer: -33*s**2 + 3*s + 9997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**3*x**2 - 36*c**2 - 2*c*q*x**3 + 5*q*x**3 - 4*q*x + 8*q wrt c?\nAnswer: 9*c**2*x**2 - 72*c - 2*q*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -23*f - 17\/12*f**4 + 0*f**3 + 0*f**6 + 0*f**7 + 0*f**5 + 0 + 0*f**2 - 1\/4*f**8. What is the third derivative of b(m) wrt m?\nAnswer: -1680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*((-2*2)\/(-8))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 324113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 22*d**2 - 72*d - 7. What is the hundreds digit of k(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 28*j - 152. What is n(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 11. Let n be z(-4). Let l be 192\/n - (-5)\/(-25). What is l rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114935 - 65350 - 57035)*(-2*d + 2*d + 2*d**2).\nAnswer: -14900*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*q**2 + 135*q**4 - 103*q**4 - q**3 + 84*q**2 to d*q**4 + m*q + o*q**3 + h*q**2 + k and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 12 = 4*z, -j = 3*z - 4 - 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t**3 + 8*t**2 - 35*t + 98. Let p be f(6). Which is smaller: 3202 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.0559, -3\/11, -3, -6\/5, 5?\nAnswer: -0.0559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.1920063 and 951.1736.\nAnswer: 961.3656063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -105*(-48)\/(-1)*(-3)\/30.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2, 0 = -4*y - 2*r - 3 + 33. Calculate the remainder when 46 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1133, -1132, -1129, -1124?\nAnswer: -1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 21, 164 in descending order.\nAnswer: 164, 21, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 15. Sort -2, 2, l in descending order.\nAnswer: 2, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49066*c + 7250 = -24567*c - 24573*c + 516 for c.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 0.2 (c) 355\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -242. Suppose 0 = 5*h - 5, 4*m = h + b + 427. Does 52 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -5. Let k(w) = w**2 + 5*w - 9. Let d be k(u). Let f(g) = -5*g + 38. Let s be f(7). Put s, d, 1 in decreasing order.\nAnswer: d, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3752*y - 374958 = -3826*y. What is the greatest common factor of y and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 29 = -5*f, 3*a + 2*f = -2*f - 8. Suppose -3*j = 5*o - 2765, -4*j + 5*o = -5*j + 915. Suppose r - j = -a*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o - 17 - 31. Solve -o - 9 = 3*t - 2*w, -2*w - 2 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4519144177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -105*i - 313. Calculate u(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*s - 77*s + 67*s + 503*s + 353*s in the form n + w*s and give w.\nAnswer: 994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 33 + -8 + -18 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/297 and -83\/9108.\nAnswer: 27324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-927)\/366 - -1*1 - (95 + (-37635)\/390).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (17\/5)\/((-4)\/(-20)). Let l = -16 + z. What is the remainder when 1 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -22*t**2 + 7*t + 7. Let s(y) = -7*y**2 + 2*y + 2. Let g(r) = 6*l(r) - 21*s(r). Let m(x) = -x**2. Determine g(m(a)).\nAnswer: 15*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 3*d**2 - 2*d. Let v be p(-5). Let b = -105 - -165. Suppose -2*m + b = 3*m. What is the greatest common divisor of v and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*v - 8*v - 4*v)*(-6*v - 47 - 36 + 46).\nAnswer: -168*v**2 - 1036*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*(3 + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p + 4. Let c(a) = 7*a + 5. Let k(i) = -4*c(i) + 5*j(i). Calculate the remainder when k(4) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3224 divided by 403?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/16 + 9\/16. Let w = 685416\/7 + -97917. Which is the second biggest value? (a) w (b) 0 (c) -0.3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(28)\/(-3*sqrt(4)) + sqrt(49)\/(sqrt(7) + sqrt(21)\/sqrt(3)) - (sqrt(63) - -2*sqrt(5103) - (sqrt(567) + sqrt(567) + -1*sqrt(567)))**2).\nAnswer: -16131 + sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54611 minus 0.04533036?\nAnswer: -54611.04533036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3170.33 to the nearest ten.\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -157*j + 912. Determine o(3).\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -71. Let w be (-10)\/m - 10\/(-6). Suppose -1920 = -w*k + 5*k. What is k rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 77*b - 58. Let p be k(-34). Calculate the greatest common divisor of 24 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*b - 151*b + 106*b + 2*b**3 to the form t*b**2 + q*b**3 + g*b + k and give g.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4447 and 1?\nAnswer: 0.5553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (164*h - 15 + 621*h + 30 - 15)*(4*h**3 - h**3 - 2*h**3) to z*h + r*h**4 + l*h**2 + u*h**3 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 2 - (-214)\/2. Suppose 2*c = -4*r - 3*c + 215, -3*c = 2*r - z. Is r a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 5061?\nAnswer: -15183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*3\/(27\/12). Suppose 11 = -n + 2*i, 0 = n - q*i + 17 - 4. Are n and -9 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6561938, -6561942, -6561948, -6561956, -6561966?\nAnswer: -6561978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48\/(-17))\/4)\/(1365\/(-15470))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 5*y - 2. Let d be o(-4). What is the units digit of (-105)\/d + 1\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t\/(((t\/t**(-11)*t)\/t)\/t*t*t)*t*t))\/t)**(-19)\/(t**10\/(t*t*t*t**(-17))) assuming t is positive.\nAnswer: t**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Suppose 0 = w - j - 1. Suppose 0 = -15*z + 120 + 45. Calculate the least common multiple of z and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3586\/13 - -276. What is the closest to -3\/5 in -2, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212011 (base 3) in base 8?\nAnswer: -1161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2618 - -17668. Is 50 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17589 is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311177295 by 26865.\nAnswer: 11583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191047 + 451326. Suppose 82649 = 16*l - x. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 407*z + 18922. What is x(-46)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.12 and -9967.\nAnswer: -9966.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhzzjzzhzvjzvjh. Give prob of sequence vzz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -526744?\nAnswer: -526744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 2*z. Let x be p(-3). Is x - (-42 - (-2 - 0)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269159?\nAnswer: 11, 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24674*l = -24568*l + 636 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 + (-4)\/(-14). Let w be (0 - -2) + j + (-868)\/(-14). What is the highest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Let z = 0.016 - 1.016. Which is the nearest to z? (a) 5 (b) q (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:17 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -264 - -264.000001836. Round o to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 0.06, 3, -0.1, -6\/11?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*w**3*z**3 + 278*w**3 - z**4 wrt z?\nAnswer: 81*w**3*z**2 - 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2360 + -7 + (-3 - -8). Let c = h + 4218. Round c to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - (4 + 21 + -24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) 1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-18))\/(h**13*h))\/(h**3\/(h\/(h**(2\/5)*h))) assuming h is positive.\nAnswer: h**(-172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8151.\nAnswer: 3, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27345, -27358, -27373, -27390, -27409, -27430, -27453?\n\"Answer: -h**2 - 10*h - 27334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 799c5417 - 0?\nAnswer: 799c5417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -6055.16\nAnswer: -18165.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8695*z - 60824. Determine b(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.98 - 0.02. Let r = k + 2.3. Let w = 17 + -65\/4. Sort -2\/5, w, r in ascending order.\nAnswer: -2\/5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259108237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*m - 24 = -67*m - 3*t, 4 = -m + 5*t. Let z be -4 - 4\/(2 - 0). Is 949\/3 + z\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, 4\/7, 0.5, 0.06, -35?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 19, 59, 119, 205?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31764, -3, 6, 4, -1, -4, 1.\nAnswer: -31764, -4, -3, -1, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 6 (c) 0.5 (d) -2 (e) 1146812\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/4*-2)\/1. Is -8 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/2 - 39514*w**3 - 780599066*w**2 + 3122870448*w - 3123028512 = 0. What is w?\nAnswer: -39516, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -20*w - 14. Calculate q(4).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032328 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 323?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - 1 + 1 + (3*a + 2*a - 4*a)*(6*a - 5*a - 3*a) - 2424*a**2 - 3444*a**2 - 456*a**2 + (a - 2*a**2 - a)*(-3 + 0 + 2).\nAnswer: -6325*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 2*j - j + j**2 + 63*j**3 - 1 + 5*j**2. Is o(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39.93 or 23979?\nAnswer: 23979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a - 33*a - 34*a - 37*a + 168*a - 37*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/24)\/((-16)\/(-24))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5 - 6 + 1 - 7*u. Let r(w) = -4*w**2. Calculate t(r(l)).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -127, -0.009, -1\/9, -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**1*u)*u*(u**(1\/5)*u)\/u*u*u)\/(u**(-2\/5)*u**(-5)\/u)*(u*u**4*u**2\/u)**34 assuming u is positive.\nAnswer: u**(1063\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -884141, -884125, -884109, -884093, -884077, -884061?\nAnswer: -884045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49907 and 2761.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - f - 7*f**2 - 5*f**2 + 14*f**2.\nAnswer: 2*f**2 - f - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 180229 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1 + 3*q + 0*q**2 + 11 - q**2 - 5. Let w(o) = o. Let x(d) = p(d) - 3*w(d). Differentiate x(s) with respect to s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 40 = -27*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14403.5423 + 14409. Let j = x + -5.701. Round j to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4212313123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -9 - 4 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -53*i + 883. Give k(19).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 4*z**2 + 7*z - 29. Let w be o(-6). Solve -39 = 8*i + w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = 5*m - 5*p, -p + 267 = 4*m + 2*p. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 25*-1 + 28 + 96\/(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*x**2 + 176*x**2 + 198*x**2 + 173*x**2 + 182*x**2 - 899*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -42, 30 in increasing order.\nAnswer: -42, -7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 4154*u - 9348640.\nAnswer: 2*(u - 1360)*(u + 3437)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92000296?\nAnswer: 2, 29, 541, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 52+509020\nAnswer: 509072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w - 3. Let z(h) = h. Let b(y) = p(y) + 5*z(y). Let k be 3\/3 - (-1 + 3). Let f be 3 + k*(-4 - -3). What is b(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from kkkkkkrkkbqkrkvbfr?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, g: 8, z: 2, e: 5}. Give prob of picking 2 g and 1 e.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/10 + 14211*p**3\/10 - 28419*p**2\/10 + 14209*p\/10.\nAnswer: -p*(p - 14209)*(p - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 5*f**2 + 5*f. Calculate a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 3\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x\/x**(9\/5))\/x)*x*x*x**(-6) assuming x is positive.\nAnswer: x**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.54? (a) -14\/47 (b) -0.15 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (8 - (9 - (-9 + 15))) - 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 - 26 = -j, 0 = 2*y + 6. What is the lowest common multiple of j and 18\/(-6) + 23 + 0?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u + 11*u - 5*u. Let v(i) = -60*i + 2*i**2 + 113*i - 53*i. Give g(v(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, -7, 9, -129 in descending order.\nAnswer: 13, 9, 4, -7, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3312907.5319 - -3312866.531899482. Let l = m - -41. What is l rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6572 and 372?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, y: 17}. What is prob of picking 2 r and 2 y?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5*p**(7\/2))\/(p\/(p*p**(3\/8)*p)*p**7\/p))**25 assuming p is positive.\nAnswer: p**(775\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.04193, -0.1394, -0.5?\nAnswer: 0.04193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -22 + -2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1206 and 342504.\nAnswer: 342504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*g - 4*a, 2*g + 2*g - 3*a - 14 = 0. Suppose -2*i = -g*i, 2*i + 6 = 3*k. Is 1650\/20*k\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 549 by 61.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -778 (base 12) to base 2\nAnswer: -10001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3933833, 3933826, 3933807, 3933770, 3933709?\nAnswer: 3933618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 82489*n - 41249*n - 41250*n. Let f(y) = 2 - 2 - 17*y. Calculate q(f(j)).\nAnswer: 170*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(-16)\/(c**(-8)*(c*c**(-13)\/c*c)\/c) assuming c is positive.\nAnswer: c**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 2*w - 10. Let h(n) = -2*n**2 - 3*n + 19. Let b(z) = 6*h(z) + 11*k(z). What is the units digit of b(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 2:57 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 + 365 = 5*v. Let l be 67 + (15 - (9 - 5)). Calculate the highest common divisor of l and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(-3*o - 3*o + 3*o) + 0*o - o - o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/3))**(2\/71))**(-2\/25) assuming s is positive.\nAnswer: s**(-4\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, j: 2, m: 5}. Give prob of picking 1 m, 1 j, and 1 l.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 14. Let f(m) = 12*m**2 + m - 1. Let t be f(-1). What is the units digit of d(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:14 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 745*i**2 + 2*i - 704*i**2 + 0*i as k + x*i + w*i**2 and give w.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*b - 1 to the form y + t*b and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10131 (base 11) to base 6.\nAnswer: -152300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -27. Suppose 4*s - 2*s + 21 = -5*z, -5*z + 5*s = 0. What is the smallest value in c, -1\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 876 and 876 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - 10100000111101011000101000?\nAnswer: -10100000111101011000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -6\/7, 37\/3, -14, 4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p. Let b(i) = 94038267*i. Give f(b(d)).\nAnswer: 94038267*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27562257 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 109*h**2 - 1446*h + 4320. Determine o(3).\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 75*v + 112 = 79*v, 8*p - 5*v + 175 = 0 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2*2)\/((-347)\/(-2776)*9*68).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (-11 - (9 + -54)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1740*o**3 + 15*o - 10?\nAnswer: 10440*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 157 = 822. What is the remainder when u is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 17\/4 of a second?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - i**2 + 2*i - 5 + 5)*(-2*i + 6*i + 5*i).\nAnswer: -9*i**3 + 18*i**2 - 135*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 21*g - 143. Let z(p) be the third derivative of -p**5\/60 + p**4\/3 - 5*p**3\/6 + 20*p**2. What is z(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 + 20 = 0. Suppose 0*u = 3*u + 2*j - t, -15 = -5*u - 3*j. Suppose -u*k = k - 4. Calculate the remainder when 2 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 236687\/10 - 23662. Find the common denominator of (213\/(-90))\/(2\/5) and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (-6 + 44)) + -7 + -16\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*y + 54, y + d = 3*y - 28. Let a(b) = -b**3 + 5*b**2 - 3. Let o be a(4). What is the greatest common divisor of y and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 - 16827558*a\/7 - 134620336\/7.\nAnswer: -2*(a + 8)*(a + 8413771)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = -0*o. Let v be o - (9\/3 - 6). Suppose v*b + b - 2*c = 16, 4*b + 4 = -4*c. Solve -b*n = -n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38107337?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 1. Let u be (1\/106)\/(i\/(-488)). Let p = 3845\/159 + u. Calculate the common denominator of p and 52\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 0 + 1 - 4 - r**2 + 6*r. Suppose -12 = 4*y - 7*y. Let u be m(y). Calculate the greatest common divisor of u and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 2:12 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11 + -0.11. Let u = 18 + -26. Let m be ((-9)\/4)\/(15\/u). Is t less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/579?\nAnswer: 2\/579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + 5a?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from ikydh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.2. Let q(x) = x**2 + 16*x + 18. Let g be q(-15). Suppose 0 = 2*v - g*s, 8 = 2*v - 3*s + 2*s. What is the nearest to h in -0.2, v, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -4, 8418 in descending order.\nAnswer: 8418, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1126704552 to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 8321632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -8243 + 8258 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4225000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 5*n - 1. Suppose 5 = -v + 6*v. Let i be -2*v - (-13 - -7). What is the units digit of h(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrjbbjrxjjhjghjjjh. What is prob of picking 1 b and 1 h?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 47 = -14*v - 157. Suppose o - 3 = -2*o. Let y be (4 - v) + o\/((-2)\/6). Solve 0 = -h - y*f + 2*f - 20, -4*h - 2*f = 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 5. Let s(r) = 8*r**2. Let w(y) = 7*y**2. Determine g*s(d) - 4*w(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 4 (c) 5\/24 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1 = -2*b + q, -b + 2*q + 16 = 0. Let j = 7 - b. Let t(p) = -p**3 - 2*p**2 - 3*p - 2. Calculate the smallest common multiple of t(-2) and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -60*d - 8. Calculate the smallest common multiple of f(-8) and 22.\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22827583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 4. Let d = -11 + 7. Let z = -11\/3 - d. Which is the nearest to -1? (a) f (b) 1\/6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 906693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - c**2 - 2*c - 14. Calculate a(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -37298*j + 186490. Determine n(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22521947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-10)*20\/8. What is the least common multiple of (6 + 1 - o)\/1 and (4\/(-10))\/(5\/(-25))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26331 and 7.\nAnswer: -184317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, -0.2, -0.4.\nAnswer: -3, -0.4, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*t + 2*t**3 - 4*t**3 - 91*t + (t**2 - 3*t**2 + t**2)*(t - 5 + 5) as y*t + p + g*t**3 + b*t**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 13. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1*(-8 + -10). Let s be 4\/h*(-3 - 464298\/(-40)). Let k = -2578 - s. Calculate the common denominator of k and -11\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 701 and 1.1?\nAnswer: 771.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10\/3 - 28\/9. Let f = 0.48 + 0.02. Which is the closest to 2? (a) 0.3 (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 36044304?\nAnswer: 36044306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 373104?\nAnswer: 746208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14711, -58820, -132337, -235262, -367595, -529336, -720485?\nAnswer: -941042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85.21796 litres?\nAnswer: 85217.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 7\/5, -0.4, 4, 199\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t + 26. Let b(z) = -2*z**3 - 13*z**2 + 11*z + 22. Let q be b(-7). Let r be f(q). Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than 5099871?\nAnswer: 5099861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 6*a + 2*a - 2, 8 = 3*c - 5*a. Let w be ((70 - 0) + -5)*c. What is the greatest common divisor of 39 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -237a0?\nAnswer: 237a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -23*h + 102. What is the remainder when 307 is divided by z(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times 283845?\nAnswer: 5393055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 45832774?\nAnswer: 412494966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**2\/2 + 7355*n + 10819205\/2 = 0.\nAnswer: -1471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 + 5 + 8*u + 0 + 3*u**2. Let q be k(-8). Suppose 8*i - 3*i = -g + 5, -4*g = q*i - 5. Which is smaller: 1\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(1100)*-2 + (-1*sqrt(1100) + 0 - sqrt(1100) - sqrt(1100)))*3)**2.\nAnswer: 247500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w\/(w*w**(1\/5)*w))\/(w**(-3)\/w**5)*(w*w**1)**(-11)\/(w**(-2\/17)*w**(-1)) assuming w is positive.\nAnswer: w**(-1112\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1473 and 10802.\nAnswer: 32406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -9*o + 5*o - 8, -o = -l - 6. Which is greater: o or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1157, -2253, -3757, -5669, -7989, -10717?\n\"Answer: -204*o**2 - 484*o - 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}