diff --git "a/data/dm_maths/full_data/10888_11255.jsonl" "b/data/dm_maths/full_data/10888_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10888_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {a: 1, s: 4, b: 5, h: 1, u: 3}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {b: 2, p: 1, u: 2, n: 1, a: 1, i: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.34 + -0.34. Let b = k + -30. Let f = -20.999964 - b. What is f rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 113*p**2 + 353 + 57*p**2 + 58*p**2 in the form f + i*p + n*p**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 461699269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 3411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y - 4. Let i(l) = 21 - 2*l + 7*l - 18. Give 3*c(u) + 4*i(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 divided by 14?\nAnswer: 495\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-298)\/101 + 2)\/(10\/4). Let m = 2\/101 - p. What is the nearest to 1 in m, 0, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14602.011 months to centuries.\nAnswer: 12.1683425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -46. Which is bigger: y or 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120.8 - 121. Which is the nearest to f? (a) -3 (b) 0.3 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5202\/(-16252))\/(-153)*-4?\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -582*s + 56254. Determine f(93).\nAnswer: 2128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2885, 5763, 8631, 11489?\n\"Answer: -5*w**2 + 2893*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1701000 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636002 = 3*i + 636062 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25289142.\nAnswer: 2, 3, 523, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) + (-115731)\/(-81). Suppose 0*k - o = -3*z + 2*k, 3*z - 1441 = -k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 440*p**3 - 6364*p**2 - 232*p = 0.\nAnswer: -2\/55, 0, 29\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 194219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 9*y**2 - 3582*y - 14280.\nAnswer: 3*(y - 35)*(y + 4)*(y + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53912 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-24)\/324*(-6)\/124?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 8:22 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 17*g**3 - g**2 - g. Calculate w(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.16, 2\/3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 260.13 + -386.13. Sort -1, 4, v, -1\/3 in descending order.\nAnswer: 4, -1\/3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**2 + 4368454*w - 4770847587529 = 0.\nAnswer: 2184227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t - 26 + 74. Let s be (8\/t)\/(-4 + 28\/6). Solve 0 = 5*q - 20, q = -s*x + 8 + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - 0 - -4) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/11)\/(78\/429)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.579 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -15. Let m = w + -18. Let b(p) = 17*p + 2. Let j(v) = -6*v - 1. Determine m*j(i) + 3*b(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4\/5 + 488*o**3\/5 - 18144*o**2\/5 + 48608*o - 1108576\/5 = 0. Calculate o.\nAnswer: 14, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(30\/(-25) - (-936)\/80). Put 95, -2, b, 2 in ascending order.\nAnswer: -2, b, 2, 95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1817 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -19*t**2 - t. Let q(s) = -13*s - 208. Let j be q(0). Let z = j + 209. Calculate v(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1410 + 1409.9999969665. What is v rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115 - 526?\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 2\/185, -3, -1\/12, 64, 1\/9.\nAnswer: -3, -1\/12, 2\/185, 1\/9, 2\/5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5592621 is divided by 1739.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1194*d. Let j(c) = 5*c + 672. Let g(h) = 2*h + 288. Let r(o) = 7*g(o) - 3*j(o). Calculate r(m(a)).\nAnswer: 1194*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 29*g - 31. Calculate the remainder when b(9) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/956 and -49\/16984.\nAnswer: 4059176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 4. Let x(s) = -r*s + 5*s - 7*s. Let u(c) = -58 + 58 + 47*c**2 - 100*c**2 + 47*c**2. What is u(x(h))?\nAnswer: -216*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 7. Let s = w + 5. Put 5, s, -5 in descending order.\nAnswer: 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 271 + -251 + -1 + -11 + -62?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 9*m**2 - 20*m + 38. What is j(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817392.\nAnswer: 2, 3, 17029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*z - 76 = 0, 2*h = -z + 99 - 39. What is the remainder when h is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-eight fifths of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2457 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47032039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*y = -24, 0*r - 3*r + 5*y = 42 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3 - 8\/3*g**2 + 14\/3*g.\nAnswer: -2*(g - 2)*(4*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 76645144 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1444)\/3*(-27)\/(-18). Let r = 485 + h. Let j = 156 - r. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -11820.\nAnswer: -1\/5910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0 + 6. Suppose -j - 5 = -2*g, 0 = -4*g - m*j - 0*j + 14. Suppose -2*o = -5*f + 9, 3*f + 5 = 4*o + 2. Solve o*c - 3 = g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + 2 + 1 + sqrt(720).\nAnswer: 3 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3 + 92*r**2 - 3620*r + 15300 = 0 for r.\nAnswer: -45, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 463546 divided by -463546?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*t = -95*t - 31*y + 159, 2*y - 14 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 256*t - 380*t + 4 + 124*t + 22*t**4 + 2*t**2 as o*t**4 + m + x*t**2 + b*t**3 + n*t and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 + 1 + 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 720 (base 14) to base 9\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 68395?\nAnswer: -547160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5234040 and 1072.\nAnswer: 10468080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 728838491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 65*o + 17. Let u(c) = -65*c - 17. Let i(t) = 5*s(t) + 6*u(t). Let a be i(-7). Is (2 + 19)*a\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*z - 20, -2*z - 12 = -3*q. Solve 5*k = 12*h - 9*h - q, 4*h + 12 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 9*r - 28 = -4*h, 4*r = -h - 18. Let t(m) = 3*m**2 + 2*m + 33. Let i(f) = -f**2 - 3*f - 34. Let z(l) = h*i(l) + 3*t(l). Differentiate z(g) wrt g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -20\/167721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 263341?\nAnswer: 263343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -20 - (2 + 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -842850129*a**2*h**2 - 6*a**2*h + 40567730*a wrt h?\nAnswer: -1685700258*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 6*v**2 - 7. Let b = 35 + -16. Let m = -816 + 803. Let j = b + m. Determine k(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.537081 nanoseconds in milliseconds?\nAnswer: 0.000001537081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 121? (a) -2 (b) -1 (c) 1\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 256687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaarfaaannakf. Give prob of sequence ak.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2438753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-3)\/(-17 + 2). Let s be 2*(138\/(-4) + 2). Let l = s + 454\/7. Which is the third smallest value? (a) l (b) -2\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2821621*g + 2821630. Calculate r(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhweg. Give prob of sequence gr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:04 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -28. Which is smaller: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105615.08 + -105615.57999905. Let z = s + 0.5. What is z rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -67, -134, -201, -268, -335?\n\"Answer: -67*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 3. Let z = 50 + -54. Let r(o) be the third derivative of 1\/30*o**5 - 2\/3*o**3 + 0 - 5*o**2 + 0*o**4 + 0*o. What is z*y(t) - 3*r(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118465?\nAnswer: 5, 19, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - s + 1, 0*p + s + 2 = -p. Let g be 3 + 3\/(75\/(-85)). Is p < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -310, -476, -666, -874, -1094?\nAnswer: -1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/15 + 208*k\/3 + 20234\/5 = 0. What is k?\nAnswer: -453, -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57675 and 940425?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3842*f + 14263 + 39525 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -9*n - 111. Let f(r) = 6*r + 65. Let g be f(n). Let z(k) = -k**3 + 4*k**2 + 4*k + 1. Calculate z(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**2 + 875250*r + 38303128125 = 0.\nAnswer: -87525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1815902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 222 and (2\/(6\/25))\/(2*15\/36).\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 3*o**4\/22 - 4*o**3\/33 - 29. Factor q(s).\nAnswer: 2*s**2*(3*s - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 124000 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2 - 7*f - 15. Let z(l) = 6*l**2 + 8*l + 16. Let s(t) = -4*b(t) - 3*z(t). Is s(-6) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 12:46 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(1*(-4)\/((-16)\/(-4))). Let h(z) be the first derivative of -4\/3*z**3 - 5 - 3*z + 0*z**x. Differentiate h(u) wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2986870 is divided by 1003?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/40)\/((-9)\/360*6*(-5)\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7217 - 7211 + 2*u + 14428.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 53.71256 millimeters?\nAnswer: 53712560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 5*u + 20. Let h be l(-8). Let o = 217\/4 - 55. Which is the second biggest value? (a) h (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -3125*p**4\/4 + 2*p**3\/3 + 5*p**2\/2 + 2*p + 1. Let w be q(-2). What is w rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2\/7 (b) 0.156 (c) -2892\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*z + 3505 = 0, -z - 2*z = 3*f - 2100. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733354 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 u when three letters picked without replacement from uuuuuuuouuooouou.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 0, g - 4*x = 7 - 4. Let i be g\/(-1)*10\/(-15). Suppose 16 = d + i. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**4\/9 + 40*v**3\/9 - 28*v**2\/3 = 0. What is v?\nAnswer: 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 - 9*c**2 - 9*c. Let y(k) = k**3 - 2*k**2 - 2*k. Suppose -12 = -125*b + 131*b. Determine b*q(l) + 9*y(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3199089 divided by 1?\nAnswer: 3199089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2734409 to 3 decimal places.\nAnswer: 0.273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*v**2 - 261*v**2 + 94*v**2 - 56*v**2.\nAnswer: -372*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -114452943*u**3 - 128926293?\nAnswer: -343358829*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 43. Suppose 60 = 5*m - 0*m. Suppose -4*t - 3*w - m = 0, -w - w - 8 = -o*t. Is 7 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1.9, 0.4, 29 in decreasing order.\nAnswer: 29, 1.9, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2. Let g(r) = -37*r + 3*r + r**2 + 60*r. Calculate g(k(h)).\nAnswer: h**4 - 26*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (2 + 11 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19598\/3777 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcrrcncc. What is prob of sequence drr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.85 - -1.9. Let j be (0 + (-2)\/(-4))*-1. Suppose 157 - 129 = -7*n. What is the closest to j in 4, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 4:10 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5))**(-28)*t**(-1\/6)*t**(-5)*(((t**(-2)*t)\/t)\/((t\/((t*t**(-5))\/t))\/t))\/(t\/(t*t**(-1)\/t))**(-26\/7) assuming t is positive.\nAnswer: t**(1357\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5754373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3942 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3241)\/(-58338))\/(3\/(-6)*1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2301.4 + 2301. What is the nearest to -1 in -80, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.42 - -0.22. What is the closest to -2\/3 in -1, c, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00887 to 4 decimal places.\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 40*y**2 - y + 4. Let w(b) = -39*b**2 + b - 6. Calculate 5*m(p) + 4*w(p).\nAnswer: 44*p**2 - p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 1439944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595164072 is divided by 8987?\nAnswer: 8984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*m. Let q(b) = -b**3 + b**2 - 2*b + 2. What is the lowest common multiple of 18 and q(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 + 211201?\nAnswer: 212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -989 divided by 12\nAnswer: -989\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.408646 centimeters in micrometers?\nAnswer: 24086.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*u = 145 + 75 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*n - 47*n - 7*n)*(-213 - 12 - 83).\nAnswer: 25564*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2242835668.\nAnswer: 2, 7487, 74891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*(r*r*r*r\/r**(-1\/2))\/r*r)*r**(-4) assuming r is positive.\nAnswer: r**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1014430 + -12334?\nAnswer: -1032314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 61700 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95718027, -95718027, -95718029, -95718033, -95718039?\nAnswer: -95718047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 27*m + 27\/2*m**2 + 1\/4*m**4 + 3*m**3 - 3. Factor d(q).\nAnswer: (q + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2*u**2 + 3*u)*(-506542 - 7*u**2 + 506564 - 57*u**2).\nAnswer: -128*u**4 + 44*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.233 - 8.673. Let n = d + 8. Let w = -0.06 + n. Which is the second smallest value? (a) 3 (b) 2\/13 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 116539225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 5 + 3\/5*z**5 + 3\/2*z**4 + 0*z**2 - 245*z + 0*z**3. Find the first derivative of c(y) wrt y.\nAnswer: 12*y**3 + 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(17)*1)*6)**2 - -3*(sqrt(17) + (sqrt(1088) + -1 + sqrt(17))**2).\nAnswer: -195*sqrt(17) + 4890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 10504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -56 + -5 + 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:15 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 9*c**3 + 47*c**3 + 2*c**3 - 37*c + 37*c + (0 + 1 - 3)*(2*c**3 - 4*c**3 + c**3) + c**2 - c**2 + c**3.\nAnswer: 44*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 17, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 148466 = 51790. Let o be (96\/m)\/(18\/21). Is 0 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 518.19 + -513. Let f = 2.19 - g. What is the nearest to -0.1 in 0.7, 8, f?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2389, -2372, -2343, -2302, -2249, -2184, -2107?\nAnswer: -2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7407*i - 254*i - 5582*i to g + j*i and give j.\nAnswer: -13243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 59.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 1)**2 + sqrt(2299) + ((sqrt(19) - sqrt(114)\/sqrt(6) - sqrt(19) - sqrt(19))*3 + sqrt(19))**2 + 1 + 6*(sqrt(2736)*2)**2.\nAnswer: 33*sqrt(19) + 68440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -138*t**3 - 3*t**2 - 5*t + 7. Let o = -60 + 61. Let i be q(o). Which is greater: -2\/5 or i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-273)\/364*15\/(405\/18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 2*s**2 - 2*s**2)*((-s + 2*s - 3*s)*(-2 + 0 + 1) - 12784*s - 2245 + 1150 - 24474*s + 1095).\nAnswer: 111768*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 10*w. Let p be a(-6). Let i be ((-4)\/(-60))\/((-4)\/p). Suppose -8 = -2*r + 6*r, -6 = 2*g + 3*r. Is i <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k*k**(-2)\/k)\/k*k)*k)**44*((k*k**(-2\/7)*k)\/k)**(-3\/7) assuming k is positive.\nAnswer: k**(6453\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -0.5, 2, -23.2, 1\/10 in descending order.\nAnswer: 2, 1\/10, 0.02, -0.5, -23.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 - 3*d**3 + 6*d**3 + (-d**2 + 0*d**2 + 2*d**2)*(-6*d + d + 3*d) + 15*d**3 - 10*d**3 - 3*d**3 + 2*d**3 + 5*d**3 + 0*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, 12\/179, -78, 1\/28, 4.\nAnswer: -78, 0, 1\/28, 12\/179, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/135*6\/24.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 6*v - 2 + 5 + ((-5 + 3 + 3)*(-1 + 3 - 1) - 5 + 1 + 1 + 25 + 42 - 47)*(-3 + 3 + 1)*(5*v - 3*v + 0*v).\nAnswer: 30*v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 5. Let d = -239 - -242. Suppose 3*b = 3*v + 18, 3*b - 7*b - d*v + 17 = 0. Sort m, -5, b, 6.\nAnswer: -5, m, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -847, -1958, -3525, -5554, -8051, -11022, -14473?\nAnswer: -18410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793416544.\nAnswer: 2, 97, 443, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*r - 96*r + 11 = -42*r - v, 4*v = -r - 20 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 divided by -28?\nAnswer: 85\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-96)*-20*3\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Let y(i) = -i**3 + 7*i**2 - 7*i + 3. Let p be y(6). Let a = l - p. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 22\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j - 1404 = -41*j + 11*j + 908 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*n + 1. Suppose 6*q - 68 = n*q. Let g = -12 + q. Solve 1 = 2*b + g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-552)\/36*3\/2. Let c = m + 33. Suppose 5*w - 27 - 4 = -4*x, 5*x - 2*w - 14 = 0. Calculate the remainder when c is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59719874*q**3 + 6*q + 146346?\nAnswer: -358319244*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 0.5, -6131, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 221635 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: Let j(y) = 5283*y - 718509. Calculate j(136).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*r - 216149 = -7657. Is -2219 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 2, 22, -4 in decreasing order.\nAnswer: 117, 22, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19599209, -19599199, -19599189, -19599179, -19599169?\n\"Answer: 10*w - 19599219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 0.93?\nAnswer: -0.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 847, 878, 933, 1018, 1139, 1302, 1513, 1778?\nAnswer: 2103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0621 and -8?\nAnswer: 0.4968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c - 59*c - 52*c + 19*c to the form y*c + m and give y.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33900 and 85.\nAnswer: 576300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i - 2*s + 5 = 0, -5*s + 21 = -4*i. Let u be -1 - (-1 + -1 + i). Let r(h) = 2*h**3 - 13 - 6*h**2 - h**3 + 4 + 3*h + u*h**3. Calculate r(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, z: 7}. Give prob of sequence zzzg.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*f = -66*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in -2, -1, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -629826?\nAnswer: -629826.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 11*o - 537. Let d(g) = g**2 + 2*g - 12. Let w be d(3). Suppose -3*x = -w*f + 9, 3*f = 5*f - 4*x. What is the highest common divisor of o and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 11, 1, -0.258, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742 + 742 - 100715*p.\nAnswer: -100715*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 3*h - 2. Let r(v) = 2*v**3 - 6*v - 4. Let b(g) = -7*d(g) + 3*r(g). Determine o, given that b(o) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-769 - 774 - 440 - 998)*(2*l - 2*l + 2*l) to y + v*l and give v.\nAnswer: -5962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -4*f - 8, 0 + 2 = -f - 5*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116141 (base 7) to base 8.\nAnswer: 51540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 57\/(-6)*(0\/1 + -2). What is the greatest common divisor of n and 988?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/572871 and 65\/793206.\nAnswer: 10311678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*v = -5*h + 20, -4 = -h + 3*v. Suppose 0*a = 3*a - 3*p - 18, -23 = -h*a + 3*p. Suppose s + 5*t + 20 = 4*s, -3*t - 3 = 0. Is a smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 3 - 1 + 2*j)*(-2*j**3 + 5*j**3 + 2*j**3 + (1 + 2 + 14)*(4*j**2 - 4*j**2 + 2*j**3)).\nAnswer: 78*j**4 - 702*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5bb881 (base 15) to base 14\nAnswer: 824c32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 2*a + 4. Suppose 0 = 3*m + 4*i - 1 - 8, i + 3 = m. Let n be y(m). Solve -n + 2 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18417 + -18525 - (3 + (-1 - 0))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3. Let n(p) = 2*p + 12. Let c be n(-4). Let g = 0 + 1. Let x(z) = 7*z**3 - 2*z. Calculate c*l(q) + g*x(q).\nAnswer: 3*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**2 + 10*q - 5. Give v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**2 - 5*z - 10. Let t(f) = 5*f**2 - 4*f - 8. Let l(q) = -4*n(q) + 5*t(q). Let m(d) = 10*d**2 + 1. Determine -3*l(o) + m(o).\nAnswer: 7*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*2788.\nAnswer: 1115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202711341.\nAnswer: 3, 7, 9652921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.131 + 0.269. Let z = -0.1 - 0.2. Let y = 31.2 + -28.2. What is the closest to x in y, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1812968*77.\nAnswer: -139598536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**3\/3 - l**2\/2 + 1. Let b be a(2). Let w(i) = -4 + 3 - i**b + 0. Let z(v) = -2*v**3 + 4*v**2 + 3. Give 5*w(n) + z(n).\nAnswer: -2*n**3 - n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 2\/11 (c) -0.1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.19 (b) 0 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 8*o**2 - 10*o + 4. Let n be u(-9). Suppose -t + 2*r + 0*r - 7 = 0, 0 = -5*t - 2*r + n. Is 2 a factor of 22\/(t - (-3 - -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2 + 3*d**2 - 4*d**2 - 3*d - 2*d**3 - 2*d**2. Suppose -3*b - 10 = -4*b. Let v = -12 + b. Give n(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1840 + -11005\/6. Let p(i) = -2 + 2*i**3 - i**3 - 3 - 10*i + 2*i**2 + 4. Let u be p(-4). Is u <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233902?\nAnswer: 2, 107, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 6833 - 6594 - 7*b)*(-b + b + 2*b**4).\nAnswer: -24*b**5 + 478*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 18 = -4*l - 2, 5*l + 4*a = 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one quarters of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -7. Let j be u - (2*-2 + -1). Suppose 9 = j*z + w - 0*w, 0 = -3*z - w + 6. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 6*p**2 + 109*p - 360. Give f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 5*t**2 + 4*t - 1. Let l be p(3). Suppose n = l*c - 2, n = 2*n + 4*c - 10. Is 0*2\/(-6) + 118\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/8417 and 32\/3101.\nAnswer: 58919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (89 - 1) - (-12 - (1 - -7))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0.2435, -139, -2, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -2 (c) 1768 (d) 0.3 (e) -5 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 7*w + 2*w + 0*w)*(-399 + 935 + 233) to i*w + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 4*q - 2*q + (1 + q - 1)*(-2 + 5 - 1) - 2*q + 6*q - 2*q + (2 - 3 + 7)*(0*q - 3*q - 4*q).\nAnswer: -39*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 2*w + 10. Let u be n(2). Suppose u*a + a + 5*x = -37, 0 = 3*x + 15. What is the nearest to 0.1 in 2\/5, a, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**12\/s)\/s)\/(s\/(s*s**(-1\/5)*s)) assuming s is positive.\nAnswer: s**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34086\/(-285)*(50\/(-4))\/5 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 3*n**2 + 5*n - 4. Let f be q(4). Is -2 - f - (-686)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2307\/8083 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 73185 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 270 + -267. Let l(q) = 2*q + 1. Let u = -7 - -5. Let h be l(u). Sort v, 0, h in ascending order.\nAnswer: h, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 11*q**2 + 3*q - 1. Let f be a(6). Let p = f - -72. Which is smaller: p or -90?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1834\/14 + -7)*(-58)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 999902 and 11822.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64623.\nAnswer: 3, 13, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**2 + 551*j + 3630. What is i(98)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -8. Let o = l - 3. Solve -2 = -o*n + 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 34. Suppose -6*s - z = -2*s. What are the prime factors of ((-4)\/(s\/23))\/(4 + -3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268 and 4757.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 264?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7051 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-10 - (-10 + 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10458\/(-2340) + 90\/20?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 1271.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 352 + -2463\/7. Which is the biggest value? (a) q (b) -0.1 (c) -0.5 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - k)*(-2 - 2 + 3) + k - 9*k + 17*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(153) - (sqrt(17) - (0 + sqrt(68))**2)) + 0.\nAnswer: 2*sqrt(17) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -190, -3 in increasing order.\nAnswer: -190, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 113228 - (22 + -12 + -19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2360000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1790, -1783, -1762, -1721, -1654, -1555?\nAnswer: -1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (240\/132 - 4\/(-22))*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - f + 1 = 0, 5*d = -2*f + f - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.519 - -0.296. What is h rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13544974 - -3893.009\nAnswer: -13541080.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(-6)\/(((z*z**(1\/5)*z)\/z)\/z**6) assuming z is positive.\nAnswer: z**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-6) + 477\/6. Find the common denominator of -71\/189 and 12\/b - ((-66899)\/15288 - -4).\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*r - 95*r + 167*r**2 + 27419 - 27421)*(-3 + 3 - r + (-3 + 5 - 1)*(-2 - 2*r + 2) - r + 2 - 2).\nAnswer: -668*r**3 + 180*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.2? (a) -2\/15 (b) -2\/161 (c) -0.045\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 159. Let v = j - -147.093. Let w = -0.647 - v. Round w to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:13 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**6\/120 + y**5\/12 - 5*y**4\/12 - 17*y**3\/3 + 5*y**2 - 7*y. Determine p(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 6 = 13*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96591*z - 2 + 91938*z + 2)*(4 - 3 + 0).\nAnswer: -4653*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*j - 9 = 0, 3*a + j = 4*j. Suppose 84 = -4*s + 5*n, s + 4*n + n - 4 = 0. Let r be s\/(-3) - 1\/3. Solve r*x - 4*l = -22 + a, 5*x + 29 = -4*l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289699 is divided by 3325?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n + 6. Let f(a) = 2*a - 1. Let w be f(n). Let o(p) = -p**2 + p - 4. Let r be o(0). Sort r, w, 0 in descending order.\nAnswer: w, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 2\/3, 0, -4701?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1694 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399\/252 + (-20)\/50 + (-143)\/(-220).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -8. Let d(t) = t**3 - 3*t**2 - t - 1. Let c be d(h). Let i be (c - -1 - -3)*-1. What is i rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 60.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -47*r**2 - 4*r - 2. Let w(o) = 78*o**2 + 6*o + 3. Let t(c) = -5*s(c) - 3*w(c). Suppose 0 = -2*i - g - 8, g - 2 = -4. What is t(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -141578326 and -47.\nAnswer: -141578373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64? (a) 5 (b) -14580 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 100000 (base 2) to base 10\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 j when four letters picked without replacement from jjfojjjffo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8171004 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g - 111. Let h(x) = x. Calculate 4*h(l) - u(l).\nAnswer: -l + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 9:04 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*k - 7, -49*v + 48*v - 2 = k. Factor -343\/3 - 1\/3*r**v - 7*r**2 - 49*r.\nAnswer: -(r + 7)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 34, 68, 122, 190?\n\"Answer: -t**3 + 19*t**2 - 42*t + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8253347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 3*o + 1. Let d be c(2). Let z = 1 + d. Suppose -4*h = 4*y - 4, 5*h + 4*y = -0*h + 7. Solve z = 2*b + b - h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -113895078 at most as big as -113895077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 194*c - 389*c - 1 + 196*c. Let u(q) = -q - 2. What is -u(g) + 3*z(g)?\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17443*f**5 + 48*f**3*o**2 + f**2*o**2 - 2*f**2 + 392557*f*o wrt f?\nAnswer: 1046580*f**2 + 288*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l - 65. Let b(m) = -33*m - 257. Calculate -4*b(g) + 18*v(g).\nAnswer: -12*g - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 7074 = -36850. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 88305*i - 618380.\nAnswer: 5*(i - 17668)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**3 - 1920*f**2 - 3745*f + 28650 = 0. What is f?\nAnswer: -382, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(1656\/2776) + -15\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1197 (base 11) to base 3.\nAnswer: 2010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - 15*v - 1. Let y be i(-7). Suppose -5*r + z = y*z - 285, 8 = -2*z. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c - 2*c**2 - 6*c**4 + 5*c**4 + c**2 to the form n*c**4 + i*c**3 + d + y*c + u*c**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*s - 72*s + h + 6, 4*s + 2*h + 2 = 0. Put s, 407, 3 in decreasing order.\nAnswer: 407, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*m + 75 - 0, -4*x = m - 85. Differentiate 27*d**4 - 27*d**4 - 33 + 3 + x*d**4 with respect to d.\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.134? (a) -117 (b) 1 (c) -0.4 (d) -2 (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3839673461 and 0.2?\nAnswer: 3839673461.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11859, -23718, -35577, -47436?\n\"Answer: -11859*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = s - 2. Let c = 13 + s. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1289782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from vazavvuazazzaaazvz?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 237977\/5 + -47420. Let d = 176 - u. What is the second smallest value in -5, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + q + 9, 2 + 10 = 4*m - 4*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65547882 divided by -6.\nAnswer: -10924647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420057.\nAnswer: 1420057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1084, 3012, 5710, 9172, 13392, 18364?\nAnswer: 24082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6541080 is divided by 668?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 15*k + 9. Suppose 5*p - 14 = 4*p. Let c be o(p). Let a = c + 39. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*g - 5700, -28*g + 25*g - 15 = 0. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -426\/11 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 465486213 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 350, -3, -1 in descending order.\nAnswer: 350, 8, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -23. What is the fourth biggest value in i, 10, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 28*u - 42*u - 780, 2*i - 2*u - 19 = 101 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4978679?\nAnswer: 1229, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -717, -1077?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332010030 (base 4) to base 12.\nAnswer: 103150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5616 is divided by 1510?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = -3*c. Suppose 26 = c*h - 2. What is the greatest common factor of 21 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3))**(-11))**(-30) assuming v is positive.\nAnswer: v**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -65, 35, -1 in decreasing order.\nAnswer: 35, 0, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 609*t + 11861. Calculate r(20).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 1, t: 2, a: 1, y: 2}. Give prob of sequence ybt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 329043030.1?\nAnswer: 329043032.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -105, -60, 65, 276, 579, 980, 1485?\nAnswer: 2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444 = h + 4*b - 456, -3*h + 29 = 5*b for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 41 = -76 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -22*y**2 + 16*y + 16. Let g(a) = -14*a**2 + 10*a + 10. Let n(b) = -8*g(b) + 5*u(b). Let x(v) = -3016*v**2. What is x(n(s))?\nAnswer: -12064*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176035 is divided by 35115?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 39.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p - 4. Suppose 4*y = -3*h - 21, y + 2*y + 2*h + 15 = 0. Determine m(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -85*p**3 + 4*p**2 + 6*p + 5. Is s(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + (-2*(sqrt(1377) + 2))**2.\nAnswer: 153*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {s: 5, x: 4, f: 6, l: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23899?\nAnswer: 23899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**5\/60 + i**4\/4 + 3*i**3\/2 - 4*i**2. Let t be p(7). Let v = 18 - 13. Solve 23 = -5*g + t*l, 24 = -v*g - 2*l + 3*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - (8 + -23 + 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2 - l - 5. Let d(v) = -9*v**2 - 2*v - 9. Let m(z) = 4*d(z) - 7*x(z). Let t(c) = 8*c**2 + 3*c + 9. Calculate 6*m(f) + t(f).\nAnswer: 2*f**2 - 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41900762.\nAnswer: 2, 2857, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5032463804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suv when three letters picked without replacement from {x: 3, u: 1, f: 1, v: 4, s: 4}.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1984 or 0.09?\nAnswer: -1984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = 4*d - 46, 5*d - 49 = -3*c. Let u = d - -8. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3082 and 2438?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1329001?\nAnswer: 31, 43, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-98)\/(-12) - (-5)\/(-30). Suppose 2*s - 100 = -d*f + 3*f, -308 = -5*s + 2*f. Is 48\/s + 702\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 + a. Let b(p) = -3*p**2 - p. Suppose -2*q = -3*q + 2. Let v be -4 + 5 + -2 + 4. Let z(g) = q*b(g) + v*t(g). What is z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 957976 divided by 1.\nAnswer: 957976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 3709165 = 5*m. Let b = m + -1220833. Round b to the nearest ten thousand.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2\/(-6))\/(340 + -337)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 50505 times 0.1\nAnswer: 5050.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v**2 + 772*v + 2448. What is j(-107)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/20 - 5\/(-2). Let k(c) = 8*c**3 - c**2 + 1. Let m be k(u). Suppose -9*g + m*g = -60. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ccb33 + -55?\nAnswer: 5ccade","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 114*v - 235. Let q be j(59). Which is the smallest value? (a) q (b) -1017 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2205 = q - 4*z, z = 12 - 13. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -173*m + 7381. Determine n(42).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33605\/2444 + (-5)\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 - 7*o**2 + 3*o**4 - o**4 + (-3*o**2 + o**2 + o**2)*(-2*o**2 - 4*o**2 + 3*o**2).\nAnswer: 2*o**4 - 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25705001?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5215875 divided by 8?\nAnswer: 5215875\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 86472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from {y: 18, l: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**3 - 13*a**2 - 13*a + 11. Let u(o) = o**3 + o**2 - o - 1. Let p(f) = -6*u(f) - z(f). Let w be p(9). Let v(j) = j**2 - 2*j - 2. What is v(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/9 + 6 + 2. Suppose d*f + 0*f - 140 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/1680 and -211\/15960?\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88, -86, -84, -82?\n\"Answer: 2*s - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6 + i + 4 - 2*i + 0*i. Let z be r(15). Let q(g) = g**2 - g - 6. What is the remainder when 69 is divided by q(z)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/10*5\/2. Suppose -4*x + 7 = -d*x. Let s(k) = 4*k - 4. What is the units digit of s(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-75)*10*(-20)\/880\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 537898, 537902, 537906?\n\"Answer: 4*y + 537894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 - 3*t**2 + 4. Let k(g) = -5*g**3 - 4 - 1 + 7*g**3 + 0 + 4*g**2. Suppose -4*v + v - 9 = 0. Determine v*k(l) - 4*q(l).\nAnswer: 2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -2\/75, -0.04, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-25)*45*1. Suppose -3*y = 3 - o. What is the common denominator of 85\/6 and 150\/y*1 - -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 7*b**2 - 5*b + 1. Let u(z) = z**2 - 11*z + 4. Let p be u(11). Is f(p) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 559270.1km?\nAnswer: 55927010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0815 to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.68 - 11.6. Let b = 0.079941 - j. What is b rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*k - i + 23, 3*k = -4*i + 18. Let o(s) = -2*s - 2. Calculate o(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 - 4*z + 5. Let n(u) = -7*u**2 - 8*u + 11. Let a(j) = -10*h(j) + 4*n(j). Is a(4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194 divided by 97.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:41 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 3, -2\/7, 16414, 0.4.\nAnswer: -2\/7, -1\/7, 0.4, 3, 16414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1007, 1379, 1767, 2177, 2615, 3087, 3599, 4157?\nAnswer: 4767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, -0.4, 3, 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 + 2*a + 1. Let j be b(-1). Suppose 4*g + j = 3*u + 42, -2*u = -5*g + 19. Let m = 39 - u. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.65, -0.5, 0, 0.1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2505262 divided by -17\nAnswer: 2505262\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3512183183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233053 times -0.082?\nAnswer: 101110.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**5\/40 - q**4\/24 - q**3\/3 + q**2. Let i(v) be the first derivative of k(v). Let g(r) = -r. Give 4*g(f) + 2*i(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -6*k - 60. Suppose x - 5*t = -2*t + 626, -k*x - 5*t + 3050 = 0. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 929614459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 39709448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = 72. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/27 + 25\/9. Is 298\/4 - l\/6 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = -9. Let s be q\/(-12) + (-182)\/(-8). Let v = -1 + s. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51011092 to the power of 1\/2, to the nearest integer?\nAnswer: 7142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(5 - 2 - 2)*(-7 - 2 + 3)*((-2 + 3 + 0)*(3*o - 3*o - 4*o**2) + 6*o**2 - o**2 + o**2).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76a3a33 - -1?\nAnswer: 76a3a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(1 + -3) - -1. Suppose 2*f - 1 = -3*w - 2*f, 0 = -3*w - t*f - 1. Sort 1, 4, w in ascending order.\nAnswer: 1, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24968*d + 213*d**3 + 26*d**3 + 24968*d.\nAnswer: 239*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k. Let s(c) = -2*c. Let x(w) = -42*w. Let j(f) = 14*s(f) - x(f). Give j(t(i)).\nAnswer: -70*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*q + 8*q**2 - 114*q - 11*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + 2*-1*sqrt(80)*-3 + -5)**2.\nAnswer: -48*sqrt(5) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -506110322 - -0.0199\nAnswer: -506110321.9801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*a + 37 = -2*b - 170, 3*a + 16 - 12 - 41 = -b for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 920529215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 4. Let g(h) = -7*h**2. Determine g(z(d)).\nAnswer: -28*d**4 + 112*d**2 - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuupuunuuxcuuncucu. What is prob of sequence pc?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2. Let u(f) be the first derivative of 14*f**3\/3 - 19. Give 20*d(s) - 2*u(s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2322 and 2616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Suppose -6*m + 3*m = -i + 56, -m = -5*i + 224. Suppose 2*z - i = 5*h, 0*h + f*h = 3*z - 84. Calculate the smallest common multiple of 6 and z.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6 = 3*y + 5*b, 0 = 3*b + 12. Suppose -2*k = y*k - 12. Suppose -12 = -3*j + k*i, 4*i = 2*j - 11 - 5. Solve j*a + 3 = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:29 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -1972574058027?\nAnswer: 1972574058026.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n - 6. Let w be (-3)\/2 - 6\/4. Let v be q(w). Suppose 0*s = -4*s + v. Solve -3*t - s = -0*h - 3*h, -2*t - 14 = -5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 - -2) + 30\/25)\/(2\/(-4)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/896 and 17\/9621472?\nAnswer: 38485888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1390\/117 bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20 or -2\/734177?\nAnswer: -2\/734177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -881308 + 881272.00019. Let m = x + 36. Round m to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 19*t - 394. Let q(w) = -w + 44. Let p(v) = l(v) + 9*q(v). Give p(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/4 - 1)*541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**5\/20 - m**4\/2 + m**3\/3 + m**2\/2 + 17*m. Let f be 0*(1 - (-2)\/(-1)). Let o be (-1 - f) + (-3 - -9). Determine u(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - p. Let v be k(-2). Let f(y) = -y**2 - 6*y. Let i be f(v). Suppose i*u - u = -1. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24135 (b) -2\/7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e9e + -5?\nAnswer: -2ea4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-180)*1224\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -12*f. Let g(w) = 13*w. Calculate 4*g(b) + 5*s(b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 2*s - 10, 2*s = -4*v - 74 + 60 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 61.9258.\nAnswer: -6.19258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.036 * 12257219.\nAnswer: -441259.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3389 - -0.7389. What is the third smallest value in -9, r, -38, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57.78 + 64.78. Which is the biggest value? (a) 3 (b) p (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 3625626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - b + 30 - 1 = 0, u = -2*b - 27. Let y = u - -29. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 - (62 + -6)\/7 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38521369, 77042733, 115564095, 154085455, 192606813, 231128169, 269649523?\nAnswer: 308170875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = -12 + 364. Suppose -q - 59 = 3*j, -3*q + h = -4*j + 2*j. Let m(f) = -f**3 - 19*f**2 - 21*f - 2. Is m(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/1704 + -90367\/18744. Let h = 5 + y. Let f(o) = -20*o - 559. Let w be f(-28). Which is the second biggest value? (a) h (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + (-2 - -5) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3160 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-16 - 3) - 6) + -15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bibi when four letters picked without replacement from bibiiiiibbibibbbbibb?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1235230 - 0?\nAnswer: -1235230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 136.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3 + 3)*((7 + 0 - 4)*(-2*o**3 - o**3 + o**3) + 3*o**3 + 0*o**3 - 4*o**3).\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 15 - 71. Let y = 2 - -10. Which is greater: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 + 2*c - 5*c + 0*c - 2 + 4 to the form u*c + t*c**2 + m + j*c**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 20*j**2 - 300*j - 5. Let s(p) = -p**3 - 5*p**2 - p + 1. Calculate f(o) + 4*s(o).\nAnswer: -3*o**3 - 304*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 28*m = 24*m + 21, -4*m - 4 = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 83 - 36*c**4 - c**2 - 421*c + 35*c**4 + 421*c to the form n + l*c + v*c**2 + k*c**3 + h*c**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4) + 2)*(-3 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.53 (b) 4\/7 (c) -0.2 (d) 3 (e) -9 (f) 71 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -15*d + 8560. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 - 4*z**3 - z**3 + 3 + 2*z**2 - 6*z**2. Give b(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.876354 rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(242) + 1)*-4 - (-2*sqrt(242)*1 + 6*(-1 + sqrt(242) + sqrt(242))))**2.\nAnswer: 5544*sqrt(2) + 47756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/11 - 28*s**3\/11 - 136*s**2\/11 - 144*s\/11.\nAnswer: 2*s*(s - 18)*(s + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 446 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 26965 = 81895. Let u be y + 12\/(-3) + 2. Suppose -5*c - f = -40002, u = 5*c + 2*f - 18234. Round c to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 35*n**3 + 2*n - 2. Let k(m) = -2871*m**3 - 165*m + 165. What is 165*f(a) + 2*k(a)?\nAnswer: 33*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -356938874049 - 0.2.\nAnswer: -356938874049.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**4 - 270*a**3 - 3365*a**2 + 7560*a - 3920 = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1)*(11 - (-845)\/(-78))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, f: 2, y: 2, l: 7, h: 1}. What is prob of picking 1 l and 2 f?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*j**2 + 25784*j - 162432.\nAnswer: -2*(j - 752)*(17*j - 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f. Let r(m) = 3*m + 5*m - 4*m - 3*m - 7. Calculate w(r(q)).\nAnswer: -2*q + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -31. Sort 2, q, -1, 1 in decreasing order.\nAnswer: 2, 1, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/15 and -19\/447376.\nAnswer: 6710640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6480933 or 6480920?\nAnswer: 6480933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 840, 1677, 2512, 3345?\n\"Answer: -d**2 + 840*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -837 + 1440. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (4 - (15 + -20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 4 - 0)\/(15\/(-105)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579 - 1102 + 215*p**2 + 523.\nAnswer: 215*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - (sqrt(190)*1 - sqrt(190)))*5)\/(sqrt(110)\/sqrt(176)))**2*-4.\nAnswer: -30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-735)\/(-14))\/(-7) + (-10 - -17). Let l be 2\/6 - (-43)\/(-12). Let g = -25\/12 - l. Which is smaller: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/5)\/((-2)\/(-5)). Let l be (q - -2)\/((-16)\/(-8)). Differentiate -5 + l - 2*h + 1 + 4*h with respect to h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - 53. Let h = i + 98.8. Let v = -33.800197 + h. What is v rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 4*g**3 + 19)*(-4 + 25 - 11)*(-2 + 3 - 2).\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (30\/(-7))\/(-6)*-3. Which is the nearest to -93? (a) -4 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 1:00 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1475311.\nAnswer: 17, 86783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q - 9. Let f be j(-6). Let k = -26 + 41. Suppose 0 = f*l - 4*l + 2*h - 2, 0 = -5*h + k. Which is the biggest value? (a) l (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1716650*a**3 + 10613927*a**2 wrt a.\nAnswer: 10299900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1805*f. Let m(x) = x**2 - 1. Determine m(q(d)).\nAnswer: 3258025*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10027301 + -4.148709?\nAnswer: -10027305.148709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7172656 is divided by 3586314?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11 + -5)\/(9\/174). Let r = 76 + l. Let g = r - -42. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1815597739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189830443?\nAnswer: 11, 79, 218447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/7*2\/3*(-505476)\/62076?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q**2 - 20*q**2 + 16*q**2 + (6*q**2 - q**2 - 4*q**2)*(4 - 1 - 2) - 969*q**2 + 1311*q - 1311*q.\nAnswer: -964*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.08 (b) 1 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 792768?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 - 968\/165.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 1222 = -808. Calculate the remainder when 505 is divided by y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544235529?\nAnswer: 3, 59, 3074777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-176))\/(6\/(-4))*-3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 21\/(-1) + 1. Calculate the common denominator of -93\/4 and (-6)\/(-15) - 214\/q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25\/(((-10)\/20)\/(-1)). Solve -5*p - 5*p + b = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 308, 627, 960, 1313, 1692, 2103?\n\"Answer: k**3 + k**2 + 309*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7)\/20)\/(-7))\/(380\/4560)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -465185, -465187, -465189, -465191, -465193?\nAnswer: -465195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/20)\/(1*1\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 73*a**2 - 8. Let d(v) = 10569*v. Calculate d(f(y)).\nAnswer: 771537*y**2 - 84552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -5, -28, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11982*j - 83877. What is n(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 0 - 7*p**2 + 3 + 5*p**2 to f*p**3 + g + a*p**2 + c*p and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.07, 0.1, 1\/4 in descending order.\nAnswer: 1\/4, 0.1, -0.07, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of ((-7182)\/(-168))\/((-30)\/(-13360))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 45 = 2*d. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*b**2*p**2 - b**2 + 396 wrt p?\nAnswer: 52*b**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 b, and 1 v when three letters picked without replacement from gvvgggcggvbgbbgvggy.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 v when four letters picked without replacement from iivviviiii?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2176\/13, -158 in descending order.\nAnswer: 2176\/13, 0.4, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -417, -906, -2059, -4206, -7677, -12802?\n\"Answer: -55*q**3 - 2*q**2 - 98*q - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + b - 6. Let o be g(-5). Let j be (26\/(-3))\/(4\/o). Suppose 8*h - 156 - 260 = 0. What is the greatest common factor of h and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 1. Let x(s) = s**3 - 3*s + 17. What is -6*o(u) + 2*x(u)?\nAnswer: 2*u**3 + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79021351, -158042696, -237064039, -316085380, -395106719, -474128056?\nAnswer: -553149391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131876.\nAnswer: 2, 3, 23, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 220, -5, 3, -4 in decreasing order.\nAnswer: 220, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2299 and 7\/968.\nAnswer: 18392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 k when three letters picked without replacement from occmocmccmlooskccsoc.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 0*z)*(1 + z + 1 - 6)*(-3*z**2 - 10*z**2 - 4*z**2).\nAnswer: 51*z**4 - 204*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1309, -2495, -3681?\nAnswer: -4867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:11 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8008\/3 in -249, -0.1, 1?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/440 and -79\/220.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3, 3*o + 2*h - 153 = 198. Calculate the remainder when o\/(-68)*-28*2 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = -15*y - 12. Solve y = -2*f + 5*t, 3*f = -0*t - 5*t - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/7)\/l**23)\/(((l**11\/l)\/l)\/(l**(-15\/7)\/l*l)) assuming l is positive.\nAnswer: l**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -h - 43 - 72, -2*r - 80 = 4*h. Let w = -185 - -69. Let t = r - w. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(-3\/11)*h)))\/h)\/(h\/(h\/(h*h**(-17))))*(h\/(h**(-1\/9)*h))\/(h*h\/h**2) assuming h is positive.\nAnswer: h**(1568\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3114261005.\nAnswer: 5, 622852201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*t**2 - t**2 + 11*t**2 - 2*t)*(-2*t - 2 + 2)*(0*t - 5*t + t) to the form d*t + q*t**2 + i + w*t**4 + r*t**3 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/45 and 17\/11?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/16717 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39187362 divided by -151889.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -69*d**3 - 3*d**2 - 3*d + 25. Let c(z) = z**2 + z. Let t(n) = -b(n) - 3*c(n). What is the first derivative of t(o) wrt o?\nAnswer: 207*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -3*v - 5, -1 + 15 = -5*v - 4*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 258, 0, -2, 5, 2 in descending order.\nAnswer: 258, 5, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126209*p**3 + 63109*p**3 + 63105*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 u when four letters picked without replacement from juhhsqsu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8256450.\nAnswer: 2, 3, 5, 19, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -33703\nAnswer: 471842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**4 + 2*i**3 - 29*i**2 - 2*i. Let k(s) = s**3 - s**2 - s. Let c(d) = b(d) - 2*k(d). Find the third derivative of c(r) wrt r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 3. Calculate the remainder when -3 + 7 - (4 - 5) is divided by x(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-15)*(-2)\/6)\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/34320*15*-16?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -322.\nAnswer: -16.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 18*c**2 - 8*c + 24. Let k(h) = 11*h**2 - 5*h + 15. Let b(g) = -8*k(g) + 5*s(g). Let v(a) be the first derivative of -41*a**2\/2 - 3. What is b(v(l))?\nAnswer: 3362*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-66))\/((-7)\/154). Solve 3*u + 2*f = f, n*f = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21552, -21582, -21612?\n\"Answer: -30*z - 21522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 - -212. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 429?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c. Let s(o) = 1. What is -b(p) - 2*s(p)?\nAnswer: 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -191, -241, -297, -353, -403, -441?\n\"Answer: b**3 - 9*b**2 - 30*b - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.009 + -0.109. Let q = m - 0. Which is the closest to q? (a) -5 (b) 0.09 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/5 + 2368*r\/5 - 14064\/5.\nAnswer: -4*(r - 586)*(r - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 15661*w**2. Let m(g) = 227*g. Give m(o(z)).\nAnswer: 3555047*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, i: 4, f: 5, p: 1, u: 2}. Give prob of picking 3 f.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3031105313 times 0.2?\nAnswer: 606221062.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 92, -25, -256, -601?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447951.\nAnswer: 3, 7, 83, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f - 5. Let x(q) = -q + 1. Let r(d) = -d - 5. Let w be r(-6). Let p(b) = w*u(b) + 5*x(b). Let a(h) = -2*h**2. Determine a(p(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s - 58. Determine t(0).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, -0.12, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**2 + 66*q - 69 = 0.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 13 = 4*h - 102, -4*h = -4. Suppose 2*y = -q - 1 + a, q = -y + 19. Calculate the remainder when 83 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0*w**3 + 4 - w**3 - 8.\nAnswer: -w**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 214342782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-10))\/((-8)\/(-20)). Suppose 5*x - 2*r = -4*r - 19, 0 = x - 2*r - o. Let u = x + 10. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (26\/6 + -3)*9\/6 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53904, -108116, -162328, -216540, -270752, -324964?\nAnswer: -379176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(95)\/(sqrt(55)\/sqrt(11)) - sqrt(209)\/sqrt(11)*-6.\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546*k**3 + 196*k**3 - 1042*k**3 - 1.\nAnswer: -1392*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 375 (b) -3.4 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 1 + 8*z + 2*z - 26*z - 22*z + 14*z + 1 - 1 + 3*z + (2*z - 1 + 1)*(-1 - 2 + 5) to the form d*z + s and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*(sqrt(13) + sqrt(13) + sqrt(468)*-2) + sqrt(104)\/(4*sqrt(72)\/sqrt(9) + sqrt(8) - sqrt(8)))**2.\nAnswer: -597*sqrt(13)\/2 + 514957\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86342 + 86345. Factor 1\/2*u**4 + 7\/2*u**3 + 17\/2*u**2 + w + 17\/2*u.\nAnswer: (u + 1)**2*(u + 2)*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 1\/2, 60, 1, -1\/16?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 129224 and 2422950?\nAnswer: 9691800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 n, and 1 s when three letters picked without replacement from sfnihjnsf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32351, 64703, 97055, 129407, 161759, 194111?\nAnswer: 226463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose -c*w + 10 = 3*w. Let i(n) = 12*n - 5. Let j be i(w). Calculate the highest common factor of 76 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 + 3*f. Let m(n) = 18*n**2 - 14*n + 157. Determine -m(p) - 5*v(p).\nAnswer: -3*p**2 - p - 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -99\/5*k - 18*k**3 - 138\/5*k**2 - 3\/5*k**5 - 27\/5*k**4 - 27\/5.\nAnswer: -3*(k + 1)**3*(k + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -1082.1\nAnswer: 10.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l + 33. Give a(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 28*m. Suppose -j + 0*j - 3*h - 3 = 0, -7 = -3*j - h. Let k(x) = 4*x. Calculate j*n(f) - 20*k(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 + 31 = 5*f + 3*g, -f = -21*f + 2*g - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 20*l - 21*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 88 = -g. Let r = -56 + 40. Let i = r - g. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14444 is divided by 516.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 81*o**2\/2 - 2*o + 4. Let l(t) = -2*t. What is l(k(g))?\nAnswer: -162*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 2)\/((3\/(-22))\/(-3)). Let i = f + -47. Let l be (0 + 0)\/(2\/1). Put 5, i, l in decreasing order.\nAnswer: 5, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-43094)\/(-87) - 2*2\/12. What is the greatest common factor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -58*j + 5. Let h(m) = -88*m + 8. Calculate -5*h(q) + 8*t(q).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/((-2)\/(-30)). Let w = 76 - 74. Which is the smallest value? (a) w (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r*(r*r**(2\/37))\/r*r)\/r)\/((r*r**10*r)\/r*r))**30*r**4\/(r*r**(-8)\/r*r)*(r**(-1\/4))**(-31) assuming r is positive.\nAnswer: r**(-36945\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.809 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 285421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*m - 3289, 1643 = 5*w + 5*m - 6587. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 7*u**2 - 31*u + 89. Give o(3).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**3\/8 + 11648745*t**2\/8 - 11307777497289*t\/8 + 11307765848547\/8 = 0.\nAnswer: 1, 1941457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ba - 75?\nAnswer: -12f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times 0.4?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l - 1 - 38*l - 1.\nAnswer: -16*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-1)*f))\/((f**(-1\/7)*f)\/f)*f**4*f**(3\/7)\/f*((f\/f**(-2\/15))\/((f\/(f*f**(2\/27)*f))\/f))**(-46) assuming f is positive.\nAnswer: f**(-136051\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) -4 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-285)\/(-4) + 5\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -218493, -218507, -218535, -218577, -218633?\n\"Answer: -7*o**2 + 7*o - 218493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 8. Suppose 0 = -2*r - 7*v + a*v + 18, -4*v - 64 = -4*r. Let x = r - 6. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 6:40 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**3 - f**2 - 5*f - 56. What are the prime factors of d(-6)?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*n - 31 = -57, 2 = 2*n for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 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 l(w) be the third derivative of 3*w**5\/10 + 2171*w**2. Let y(s) = 12*s. Let n(p) = -12*p. Let b(x) = 5*n(x) + 6*y(x). Determine b(l(i)).\nAnswer: 216*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12469 is divided by 882?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*4\/(-20))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000484947 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132291129?\nAnswer: 3, 19, 2320897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (241\/(-4))\/(2 - (-50)\/(-24)).\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 6*u + 60. Calculate the least common multiple of u and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = u. Let m be ((-12)\/10)\/(2\/(-5)). Calculate the remainder when 68\/m - (-2)\/(-3) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**5 + 40*t**4 + 3*t**3 - 68*t**2 - 7. Let x(g) = -8*g**5 - 26*g**4 - 2*g**3 + 46*g**2 + 5. Let k(f) = 5*i(f) + 7*x(f). Factor k(l).\nAnswer: -l**2*(l - 18)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i - i)*(-2 + 3 - 2) - 216 - 5*i + 216 + (-i + 8 - 8)*(3 - 4 + 3) + 1 - 1 - 2*i + i + 3*i - 5*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/495 and 31\/27621825.\nAnswer: 82865475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8712936?\nAnswer: 2, 3, 121013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 4*a + 55, -t + 2*a - 179 = -194 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 32*27.5\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 0*a - 10*a + a - 2*a**3 in the form w*a**2 + h*a**3 + z + c*a and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*c = -158*c + 272270. Is c a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811 is divided by 100?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 9*x - 174005. Let m(o) = 2*o**2 + 14*o + 261008. Let y(u) = 5*m(u) + 8*v(u). Let g be y(0). What is g rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, k: 5, t: 2, a: 3}. What is prob of picking 2 y and 2 t?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12757826 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2\/3*v**3 - 10\/3*v**2 + 16\/3 + 4\/3*v = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671*n = -669*n + 2*b, 6 = 6*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -705173403 + -0.2.\nAnswer: -705173403.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8531406?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9331 and 312137?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from qzzznnzg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/(-63))\/((-22)\/(-33)))\/5.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178 divided by 124.\nAnswer: -89\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*p**2 + 1)*(-4*p - 5*p + 5*p).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70479929887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19364 and 64672.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 12:25 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10.6, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1011?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 3. Let i be l(2). Suppose -66 = -i*m - 1. Let c(n) = 14*n**2 - 2*n - 2. What is the remainder when c(2) is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -78 - -1a3?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*w - 7 = 2*i, 3*i - 3*w = 3. Solve 15 = -4*u + i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4535?\nAnswer: 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 375 and -4?\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487*a + 491*a = -2*b + 98, 0 = a - b - 32. Solve 0 = f + a - 30 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 195868730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 28 = 2. Let a be ((-30000)\/9)\/(1\/w). Round a to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 2 + 1 + 11. Let i = n - 2. Let g be 42\/i + (-4)\/20. Solve 2*j + g + 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 4*a - 59. Let q be y(-6). Which is bigger: 2.9 or q?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 79. Suppose 0 = 5*u + 9 - 49. What is the greatest common factor of s and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus -6040644372.5?\nAnswer: -6040644379.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040456 rounded to five decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*l + 911055 = -543645. What is l rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + -2 + sqrt(272) + 4 + ((sqrt(272)*2 + -2)**2 - (sqrt(272) - (0 + 2*sqrt(272)))**2)).\nAnswer: -4130 + 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -50\/7 (b) 0.09 (c) 1 (d) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -3*f + 3*a, -a = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15203925 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 307, 614, 805, 880, 839, 682?\n\"Answer: -58*i**2 + 481*i - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = -5*w - 297. Solve -2*l - 4 = -2*j, 4*l = w*j - 5 - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75*(141\/329)\/(36\/(-28)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3033 + 3032.8. What is the closest to -7\/176 in -2\/9, 0.5, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 55 = -2*b. Solve 2*l + b = -l + 5*z, 2*z = 3*l + 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 559 = 6*b. Let f = 35 - b. Let p = 113 - 112. Put f, 4, p, -0.2 in decreasing order.\nAnswer: 4, p, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(5) + (-1*sqrt(20)\/sqrt(4))**2.\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 1 - (-120)\/4. Let a = m + -12. Suppose 0*y + z = 4*y - 25, a = 2*y + 2*z. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 2*a + 2\/3*a**3 - 1\/12*a**4 + 0 + 0*a**2. What is the second derivative of n(z) wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(7\/2))**(1\/3) assuming p is positive.\nAnswer: p**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -910*x**2 + 910*x**2 - 2*x**3 - 6*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, -0.039, -1\/5 in decreasing order.\nAnswer: 0.3, -0.039, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -421 - -421.00486. What is k rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 819 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 4*v + 0*v + 10 - 2*v + 5*v**2 + v**3 to y + r*v + s*v**2 + u*v**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118.3456 - -118.845621. Let s = 0.5 - v. What is s rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 10:24 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010110101101011 - 100100110010?\nAnswer: 1110010010000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnusxlu. What is prob of sequence nx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -3695*h**4\/4 + 563*h. Let g(v) = 2*v**2. Determine g(i(j)).\nAnswer: 245754450*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1583283 + 36?\nAnswer: 1583330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s + 5 = 0. Let q be 6\/3 - 1\/s. Let b(o) = 14*o**3 + o. What is the tens digit of b(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*y + 5*k + 17, -4*y + 3*k + 39 = 0. Let o = y + -2. Find the first derivative of 3*x**o - 3*x**4 - 5*x**4 + 2*x**4 + 2 wrt x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 12. Let u be x(0). Suppose 0 = -4*y + m + 4*m + 19, -u = 4*m. Suppose -5*b + 8 + 37 = 0. Calculate the least common multiple of y and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 15 + 6\/(-2). Let j = c - -5. What is the highest common divisor of 91 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000156361658 rounded to 7 dps?\nAnswer: 0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**2 - 75*f**3 + 120 - 62*f**3 - 40*f**3 wrt f?\nAnswer: -1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -5 (c) -45 (d) -17 (e) -184 (f) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 16*k + 44. Calculate j(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 134 = -90. Let j(k) = -4*k - 4. Let o be j(-3). Calculate the highest common factor of p and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5 = 0, s + 2*s + o - 127 = 0. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - -2 - 20\/(-1). Let k = f + -4. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*n - 34*n - 24 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -36. Which is the smallest value? (a) -1\/3 (b) u (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*j**5 - 4*j**3 + 1190*j**2 wrt j?\nAnswer: 1980*j**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 5*d + 3201 - 3096 = 0, y - 21 = -5*d for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/6*13398\/4988 and -21\/43?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/54*-2*(-5)\/35. Which is the closest to -9\/7? (a) 4 (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1179214.20067 - -1179204. Let v = 10.2 + 0. Let m = v + o. Round m to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 + 38*k - 114. Determine y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 17 + 2*v**2 - 43.\nAnswer: 2*v**2 - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 432493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 greater than -491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*i)*(i**3 + 294 - 5*i**2 - i - 294).\nAnswer: -2*i**4 + 10*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 444 and 39220?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12221 and 2854148?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76571195 is divided by 10442?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 + -1.7. Let c = 1.4 - q. Let o = c - 0.4. What is the nearest to 2\/3 in o, 3\/4, 6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*b + 18 = 6*b, -4*b + 29 = 5*w. Solve -w*d + 24 = -x, -d = -3*x + 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2979 = -3*y. Let u = 381 + y. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -61, -433, -3 in descending order.\nAnswer: 1, -3, -61, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 51. Find the first derivative of 159*t**p - 12 - 159*t**3 + 11*t**4 wrt t.\nAnswer: 44*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -2) + -20 + -1 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 - 10*k - 19. Let h be t(-9). Let p be 1588\/18 - (h\/36 + 5). What is the highest common factor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 10:08 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*v - 2*v + 180, 4*s - 4*v = 180. Let o(a) = 6*a**2 + 55*a + 42. Let j be o(-9). Suppose j = -r + s. Solve -4*m + m + r = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/10, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/461 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7174 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: List the prime factors of 1430632474.\nAnswer: 2, 19, 37648223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 657*z**4 + 692*z**3 - 7*z**2 + 22*z + 118?\nAnswer: 15768*z + 4152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*16\/48*12174?\nAnswer: 2, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7689*a**2 + 233*a - 466. Let b(z) = 13*z**2 + z - 2. Determine 233*b(h) - q(h).\nAnswer: -4660*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 659*l**2 + 1944*l - 6. Let b(f) = 1312*f**2 + 3888*f - 10. Let g(s) = -3*b(s) + 5*z(s). What is the second derivative of g(k) wrt k?\nAnswer: -1282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 5*g + 1. Suppose 2 - 12 = -2*j. Calculate r(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9*(0 - (-4 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4096.117865 rounded to one decimal place?\nAnswer: 4096.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = g - 5*j, -g - 2 + 1 = -j. Suppose -5*q = -o - 15 - 3, -g*o = 5*q - 3. Suppose q*z - 3*s - 156 = -z, 2*z + s - 68 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -324, -448, -570, -690, -808, -924?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1154899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 86766019.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1414 + -767. Let f = d - 396. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43.5 smaller than -4137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 + 17*x + 3. Calculate w(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11836829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19591 - 17687. Are 0.03 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012 - 2110220111020?\nAnswer: -2110220101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 - 2*f**2 + 5*f**3 - 4*f**3 + (-f - f + 3*f)*(40*f + 99*f + 2*f**2 - 94*f) to i*f + d + l*f**2 + r*f**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -164 (b) -0.3 (c) 0.3 (d) 1 (e) -0.1 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.84 + 0.1. Let p = -0.06 - q. What is the closest to 0.1 in -5, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 + 27. Calculate the common denominator of (-58)\/(-6)*(-9)\/i and 119\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**5\/60 - 5*w**4\/24 + 986*w**2. What is z(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8538523 is divided by 868?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (12 - -3)) + 22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 7*n - 21 + 47 - 21 - 2*n.\nAnswer: -8*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 117?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4*b = -52, 6*j - 3*b + 1580 = 1511 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/3)\/w**(-2)*w**1*w**(-4)*w*w assuming w is positive.\nAnswer: w**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 115*c**2 - 39*c - 91. Calculate q(0).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 52. What is the remainder when 77 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*r**3 + 246*r**2 - 72*r.\nAnswer: 3*r*(r + 12)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/6 (b) 1\/2 (c) -1 (d) 2376\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**3*w**4 + 88*t**3 - 73*t**2*w**4 wrt w?\nAnswer: -8*t**3*w**3 - 292*t**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -4)*10*14\/5. Suppose -j + q = 2 - 16, 56 = 4*j + q. Calculate the greatest common divisor of j and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18079.\nAnswer: 101, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-100)\/(-15))\/(-37*(-29)\/2146)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -34. Suppose j*m = 10*m - 120. What is the greatest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 913*n + 2203*n - 60660 - 39052 = 0 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 h when four letters picked without replacement from {h: 7, a: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 12 - 3 - -18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsoooooxxxssxxxoox. What is prob of picking 3 s?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5552910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3 - 85569*c**2 + 256728*c - 171156 = 0 for c.\nAnswer: -28526, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 0, -3 in ascending order.\nAnswer: -25, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009228899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1408*o - 380207. Give m(270).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-6) - 2)*(-30)\/(-20). Is c*(-3 - 1\/(1\/650)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 722?\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 27 + 15 + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3407 + 24*n + 3407)*(2*n - n - 4*n + (0*n + n + 0*n)*(-4 - 2 + 4)).\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5015, -10174, -15301, -20384, -25411?\n\"Answer: 2*x**3 + 4*x**2 - 5185*x + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 - 53.46?\nAnswer: -53.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -415 - -611. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -2.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-12))\/(3\/2). Which is the smallest value? (a) -2 (b) 5 (c) -1 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3897266501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7942 is divided by 2641?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1758233 millimeters in nanometers?\nAnswer: 175823.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 398570 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 229 = -2*q + b, 4*q - 3*b - 413 = 0. Suppose 4*p - 390 = -5*i, 0 = i - 3*p - 2*p - q. Find the second derivative of 82 - 44*s**2 - i + 40*s wrt s.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066795583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 225992520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 10. Let a be m(33). What is the greatest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -6 + 0*h**3 + 0*h**4 - 55\/2*h**2 - 8\/3*h**6 + 0*h**5 + h. What is the first derivative of v(w) wrt w?\nAnswer: -320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 35 + 35)*(16 + 13 - 31) - 3*x + 0*x + 2*x + 3*x - x + 4*x in the form c*x + z and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1035 + -1034. Solve -l = 3*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4560\/(-57))\/240)\/((-20)\/12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7151*w*x**3 + 15*w*x + 55*x**3 - 42449*x wrt x.\nAnswer: -42906*w*x + 330*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 45\/18*((-6)\/(-20))\/((-13)\/(-26))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 60.54131 decades?\nAnswer: 7264.9572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1911829, -1911829, -1911827, -1911823?\nAnswer: -1911817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by (0 + -1)\/((-61)\/7625).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 242181.8500015 - 242182. Let z = -38 + 38.15. Let o = z + d. Round o to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 9*c - 8. Let w be n(-10). Suppose w*q = 2, -3*q - 168 = -3*l - 6*q. Let a = 24 - 5. Calculate the remainder when l is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 5*b**2 - 4*b + 1. Let w be a(3). Suppose -2*u = 3*f - 8*f + w, 3 = f - 2*u. Put f, -3, 2 in descending order.\nAnswer: 2, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 1:16 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h + 12 = 30*h + 3*t, -t + 4 = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -113, -116, -109, -86, -41, 32?\n\"Answer: l**3 - l**2 - 7*l - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7053450?\nAnswer: 2, 3, 5, 59, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.19 in -2, -0.02, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 12118\/13337?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.4 - 10.4. Let k = 1.26 - 7.62. Let d = -0.36 - k. What is the closest to -1 in d, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 5, -0.2, 13897?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 7, -325 in ascending order.\nAnswer: -325, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 12. Suppose f*w - a + 17 = 0, -4*w + 5*w + 4*a - 17 = 0. Let h(q) = -q**2 - 2*q + 3. What is h(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 110022202201211002?\nAnswer: -110022202201211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 20300113?\nAnswer: 20300101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 17*a - 32. Let x be p(-2). What is the third biggest value in x, 106, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5 = 2*m + 11, k - 4*m = 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 1 - 37 = 5*s, 37 = -5*p + 3*p - 5*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeeseebb. Give prob of picking 3 q and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-16) - 35\/(-4). Is 3\/((-1)\/((-978)\/x)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 18*a**2 + 4*a - 2. Calculate i(-5).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - 23*u - 7. Let r be s(17). Let y be 6\/((-100)\/r*2\/(-5)). Calculate the greatest common factor of y and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4444551073.\nAnswer: 23, 61, 3167891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116 + -113. Suppose j = -1, f*b - 5*j - 5 = 5*b. Solve b = 12*w - 11*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.7 + 13.9. Let s = 7\/10 - 53\/90. Suppose 4*w + 0 + 12 = 0. What is the nearest to m in w, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3328 - 1998. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1 + -2)*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 29661940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2))**0\/(z\/z**(3\/7)*((z*z**(-5\/3)*z*z)\/z)\/z))\/(z**(-4\/3)*z*z**4*z*z*(z**(1\/3))**17) assuming z is positive.\nAnswer: z**(-236\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/7 + 24*s**3\/7 - 45*s**2\/7 - 162*s\/7.\nAnswer: 3*s*(s - 3)*(s + 2)*(s + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 9 = -4*j + 2, 2*f = 2*j - 18. Sort f, 5, -2 in increasing order.\nAnswer: f, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from yjyqnj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/(-11))\/(1\/6*1). Suppose 0*l = -v*l + 144. Suppose 0 = -2*f + l + 2. Solve -f*k = -8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**3 - 3033*x - 405 + 592*x + 406.\nAnswer: 20*x**3 - 2441*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -7*m + 102. Calculate the remainder when (-15)\/((-78)\/(-27) + -3) is divided by m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 5275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71073 - 32958. Does 55 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**3 + 26*o**3 + 784*o - 9*o**3.\nAnswer: 7*o**3 + 784*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s + 1. Let j = 94 - 96. Determine q(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88324 and 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1 = -5*u, -3*u = -6165 + 6159 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8 = 44. Let r = 10 + 14. Calculate the remainder when r is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from btbktbb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 12.5. Which is the nearest to -4? (a) -1 (b) 2\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -33. Find the first derivative of 10 - 4*i**3 + 2*i**3 - v*i**3 wrt i.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23.07 and -44?\nAnswer: -1015.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46.01 and -0.7?\nAnswer: 32.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/23 in 1\/4, -4\/9, 0.3, -2\/9, 8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 w when four letters picked without replacement from {w: 2, x: 9}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -135563160234015.\nAnswer: -135563160234012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16737.64 rounded to the nearest ten?\nAnswer: -16740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 1004*b + 1002*b - 35 = 0, -50 = 5*s + 5*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -895 + -2ca98?\nAnswer: -30660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1845482, 3690896, 5536236, 7381502, 9226694, 11071812?\n\"Answer: -37*t**2 + 1845525*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323011022 (base 4) in base 6?\nAnswer: 5104202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/(-8))\/(3\/(-48)). Let r = 77 + t. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -84 + 124569*r - 124575*r - 220 as z + p*r and give z.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/4 of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 24*w - 2. What is h(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 613, 789, 1279, 2245, 3849, 6253, 9619, 14109?\n\"Answer: 27*z**3 - 5*z**2 + 2*z + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 + 1 + h**3 - 676355*h**2 + 28*h - h**4 + 676357*h**2 to m*h**2 + c + q*h**4 + z*h + u*h**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1871424 and 98496?\nAnswer: 1871424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 721 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 177*g**2 + 510*g - 336.\nAnswer: 3*(g - 56)*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2941 = -m + 282, -2*l = -10. What are the prime factors of m?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.39 + 0.89. Let d = 34\/3 + -11. Put f, d, -1\/7 in decreasing order.\nAnswer: d, -1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 11*j + 6*j = 392 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-68)\/16 + 1\/4. Let g(k) = -k**2 + 2. Let t(n) = -5*n**2 + 9. Let f(x) = l*t(x) + 18*g(x). Let z(w) = -5*w**2. Determine f(z(p)).\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134456 and 514136?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-1260)*6*12\/26?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 = 14, 4*p = q + 19. Let k = q + 4. Suppose -k*h = -37 + 7. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-7)\/175*-10)\/((-2)\/(-1))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**4\/4 + 2*m**3\/3 + m**2\/2 - 2*m - 1. Find h such that p(h) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 7:51 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1027, 4225, 9723, 17659, 28171, 41397, 57475, 76543?\nAnswer: 98739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bppbpbppbpbpp. Give prob of sequence bbpb.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1245377975?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + -26. Let y = d + 114. Suppose -4*q = 3*k + 27 - 77, 4*k - 4*q - y = 0. Calculate the highest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5961404 by -1490351.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.194 take away 1783.75228?\nAnswer: -1783.94628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -2\/5, 12, -0.2, -0.6, 0.15?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.4, -0.2, -5\/4, -11\/246, 1.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.0522406 to one dp.\nAnswer: 22.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 6*m - 1. Let y(n) = 2*n**2 - 12*n - 3. Let r(l) = -5*g(l) + 2*y(l). Let u be r(4). Solve -2*j - 17 = 5*f, -2*f - 3*j - 2 = u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*n**3 - 25*n**3 - 54*n**3 - n - 2*n**2 - 5 to the form s*n + i*n**3 + b + c*n**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2108.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m\/(m\/(m*m\/((m*m**(1\/12))\/m*m)*m*m)))**(2\/15) assuming m is positive.\nAnswer: m**(47\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -244, 0.4, -3, -5, 0.1, 2 in descending order.\nAnswer: 2, 0.4, 0.1, -3, -5, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 - -38571391.33?\nAnswer: 38571521.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 - 7*m - 6*m**4 + 4*m**4 + (4*m**3 - 6*m**3 + 0*m**3)*(0 + 0 - 2*m).\nAnswer: 2*m**4 - 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -53*h + 59*h - 86, 14*a - 10*a - 3*h + 2*h = -0*h - 61 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186779112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -1448834.\nAnswer: -724417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 1.84.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-351))\/(6*(-1)\/(-9)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-24)\/8)\/(-18)*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + sqrt(208) + (sqrt(208) - sqrt(208)*-2) + sqrt(208).\nAnswer: 7 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1489*f**3 + 3266*f - 16102836 wrt f.\nAnswer: -4467*f**2 + 3266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - g**2 + g - 1. Let m(x) = 16*x**3 - 2*x**2 + 2*x**4 + 2 + 0 - 2*x - 16*x**4. Let k be (-4)\/12*3*-2. Let q(t) = k*b(t) + m(t). Factor q(z).\nAnswer: -2*z**2*(z - 1)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*b + 30. Find the third derivative of p - 28*p**2 - b*p**5 - p + 34*p**2 wrt p.\nAnswer: -1140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-0.099.\nAnswer: -2.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 13) to base 10\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/6 - 304341*a**2\/2 - 69467126697*a\/2 + 208404119169\/2 = 0.\nAnswer: -456513, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/2 - (32 - 38). Let n = 8 + -5. Let m(j) = -j**n + 4*j**3 + 8*j**3. Let k(r) = 5*r**3. Determine o*m(t) - 9*k(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 536909 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/129359 - -268419917\/517436. Which is bigger: 519 or q?\nAnswer: 519","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55\/4 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 16*g + 48. Calculate the remainder when k(-15) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3872c8 (base 14) to base 10\nAnswer: 1940576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, j: 1, g: 1, y: 1, b: 3}. What is prob of sequence jys?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -280, -555, -818, -1069, -1308?\n\"Answer: 6*a**2 - 293*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116965 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 74 = 5*k, 4*a - 2*a = -5*k + 82. Let p be k\/4*(-12)\/(-18). Solve 0 = 2*u + 5 - p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0.163 (b) -4 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*g, -23*g = 2*c - 26*g + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 28*b + 5*b = -10*b - 157, 5*p = p - 5*b + 50 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1233012*o**2 - 2405178*o.\nAnswer: 2466024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 12 + -9)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 27521, -26, -2\/5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 20*d**3 - 5*d**2 + 2*d + 5. Let z(q) = 10*q**3 - 2*q**2 + q + 2. Give 2*m(f) - 5*z(f).\nAnswer: -10*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.3 + -1.7. Let x = -5.1 - h. Is x not equal to 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**2 - 1\/8*d**4 + 28 + 0*d + 0*d**5 - 1\/70*d**7 + 1\/6*d**6 + 1\/6*d**3. Find the second derivative of q(c) wrt c.\nAnswer: -36*c**2 + 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Suppose -2*i = b*i - 20. Suppose 0 = -m + 2, m + 12 = 3*l + i*m. Solve l*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 18 (b) 4\/5 (c) 0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 2372. Let o(y) = -2350. What is -3*b(d) - 2*o(d)?\nAnswer: 3*d - 2416","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -23 - 17 - 15.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o - 1997 = -1864 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 789 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4820 and 20.\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36334, -290819, -981562, -2326693, -4544342, -7852639, -12469714?\n\"Answer: -36355*r**3 + r**2 - 3*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 21*t - 22. Let f be c(18). Solve 0 = -5*w - 20, 4*w = 4*u - 0*w - f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 317268802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.39539 grams in tonnes?\nAnswer: 0.00009439539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291154.5s to days.\nAnswer: 3.36984375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b8475 (base 12) in base 7?\nAnswer: 2030150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066901598 rounded to four decimal places?\nAnswer: 0.0669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -24*c + 216. Let k be f(8). Calculate the greatest common divisor of k and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.3473 + 2.33. What is y rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83963 - 34600. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -o + 2*t + 2, -15 = -3*t. Suppose 3*b + o*b = 0. Solve b*g - g - 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1.56\nAnswer: 4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10001011111110011111010?\nAnswer: -10001011111110011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5, 0, 0.4, -6\/73 in descending order.\nAnswer: 5, 0.4, 0, -6\/73, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7\/4)*y**(-6) assuming y is positive.\nAnswer: y**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/21 and 61\/10419?\nAnswer: 72933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127446316*f**4 + 100893097*f**2?\nAnswer: 3058711584*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -13\/30?\nAnswer: -13\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -4 - 2)*(220 - -3). Let k = d - -315. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 11100010222110?\nAnswer: 11100010222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -33330659 to the nearest 10000.\nAnswer: -33330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15243 + -15245. Let d(g) = g + 1. Let y(h) = h**3 - 11*h**2 - 9*h - 9. What is t*y(k) - 18*d(k)?\nAnswer: -2*k**3 + 22*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73.999971 + -74. What is d rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 11*s**2 + 16*s + 8. Let f be (2 - -2*4\/8)*4. Let l be i(f). Suppose 5*t + l = 12*t. Calculate the highest common factor of 16 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -542605 divided by -77515.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*6.9\nAnswer: 2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39104, 78203, 117294, 156377, 195452, 234519, 273578?\n\"Answer: -4*s**2 + 39111*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 129 - 62743?\nAnswer: -6261a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3 - 9063*u**2 - 144791*u - 352833 = 0. Calculate u.\nAnswer: -9047, -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4510 - -4512. Put 50, 1, j, -1 in decreasing order.\nAnswer: 50, j, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (54 + -1)*2 + -8. Let a be 3164\/y + (-2)\/14. Find b such that 3\/7*b**3 - 375\/7 + a*b - 45\/7*b**2 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-153)\/170)\/((-3)\/5). Suppose -3\/4*t**4 - r*t + 3\/2*t**3 + 3\/4 + 0*t**2 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = 0, z - 7 = -2*z + 2*y. Let k(u) = 43*u**3 + u**2. Let q be k(z). Suppose 0*d + q = 2*d. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/220*2\/(6\/(-3))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 3*h + h + (11*h + 7*h - 4*h)*(0 - 3 + 4) + 8*h - 9*h + 17*h.\nAnswer: 31*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 2*m + 32922 = 0, 0 = 3*d - m - 2635 - 2852. List the prime factors of d.\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2 + 1086*j + 2184 = 0. What is j?\nAnswer: -2, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*(84\/8 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47 + 287105*k**2 - 64*k - 143558*k**2 - 143549*k**2)*(-1 - 2 + 1)*(k + 2*k - k) to the form r*k**2 + z*k + u*k**3 + p and give r.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(46*n - 46*n + 13*n**4 + 1).\nAnswer: -26*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by -119?\nAnswer: -80\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -100231 + 4?\nAnswer: -10022a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/135)\/((-2)\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -185.92 - -186. Let u(r) = -r**3 - 8*r**2 + 9*r - 3. Let s be u(-9). What is the third biggest value in 2\/3, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 8*o - 13. Let j be z(4). Solve -3*y - 23 = 4*x, -j*x + 4*y - 5*y = 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 170*w - 169*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) + (sqrt(1911) - (sqrt(1911) + 1*sqrt(1911) - sqrt(1911)) - sqrt(39)) + sqrt(39))*-5)\/(sqrt(75) - (sqrt(75) + sqrt(75)*-2)*6)*-1.\nAnswer: sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = f + f - j, -5*j = 5*f + 55. What is the lowest common multiple of 2*(0 - -1 - f) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - 5) - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -819.8656*9.\nAnswer: -7378.7904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 918572 to the nearest one thousand.\nAnswer: 919000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m. Suppose 6*t - 8*t = 10. Give r(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d. Let x be ((-2)\/(-6))\/(1\/15). Suppose -5*c - 9 = -3*g, -g + x*g - 3*c - 12 = 0. Let s(q) = q + 1 + g - 4. Determine s(z(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 159852*y - 959209. What is v(6)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-16))\/((6 - (-42)\/(-4)) + 4). Let v(p) = -p**3 + 6*p**2 - p + 6. Let o be v(6). Which is the nearest to o? (a) 0 (b) t (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7719 or 29501?\nAnswer: 29501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/9)\/(2\/534) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -295 + 193. Calculate the remainder when (8\/(-24))\/(2\/g) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.132, -85\/3, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o - o + 4*o)*(-1 + 1 + 2)*(4 - 2 + 0 - 2 - 1 + 2 + 1 - 2 + 0 + (-2 - 2 + 5)*(-1 - 1 + 0) - 6 + 3 - 17).\nAnswer: 88*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*w + 134*w = 80*w - 1122 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -101 - 243. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 4, j: 1, w: 7}. Give prob of sequence ww.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12713 - -43799. What are the prime factors of h?\nAnswer: 2, 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -1.8\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 4*i**2 + i + 28. Let f be k(0). Solve -6*z + 2*z - f = 3*u, 3*z = -2*u - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 2*s + 3*s + 9 + 2*s - 2*s to q + f*s and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 5) in base 4?\nAnswer: -2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (-5 + 1)\/4. Solve y - 3*t = 5*y + i, 3*y - t = 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70516880 and 5488?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 19*j + 6*j + 11*j.\nAnswer: 36*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 1132*l + 37168. Determine o(-35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -3*j + 3*i + 120, 2*j - 172 = 4*i. What is the remainder when j is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 1:49 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4694*y + 87140 - 87140 as b + n*y and give n.\nAnswer: -4694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9285221 decades to millennia.\nAnswer: 0.009285221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((1 + 1)*-1). Solve t = -2*y + y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 155964?\nAnswer: -5\/155964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1646 = -4*d + b - 1657, -5*d + 5*b - 10 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1956*a**4 + 195*a - 1 wrt a?\nAnswer: -23472*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.72 + 13. Let a be 6 + (-3 - (-7 - -8)). Put -0.1, u, a in decreasing order.\nAnswer: a, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 - 39\/12. Let q = 5 + p. Suppose -q*v + 35 = 3*v. Solve v*w - 4*w = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.38 and -855083.\nAnswer: -324931.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33340 is divided by 202.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 10255, 1202 in increasing order.\nAnswer: -5, 4, 1202, 10255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)*r**(-2\/7))**(-17\/3)*((r\/(r**(2\/9)\/r)*r)**(-1\/16))**(-25) assuming r is positive.\nAnswer: r**(3151\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 3. Let c(a) = 3*a - 7. Let z(s) = -3*c(s) - 7*d(s). Let j(x) = x - 2. Let o be j(4). Let n(v) = o - 2 - 3*v. What is z(n(y))?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181404243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*j + 10. Suppose -3*x - 155 = v + 33, -v + 316 = -j*x. Let q be 4\/x + (-10)\/45. What is the nearest to q in 3, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -40*u + 1119. Let j be c(28). Let m(d) be the second derivative of -55*d**3\/6 - 7*d**2\/2 + d. List the prime factors of m(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.107, -2\/3, 2\/21, 0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxh when three letters picked without replacement from {h: 2, q: 1, x: 1, k: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 2*w + 4, 0 = -4*u - 3*w - 84 + 69 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 5*b**2 - 6*b. Let f be h(-5). Let v = 57 - 47. Calculate the highest common factor of f and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/24)\/((-6832)\/108864*27).\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -525962.763 + 525745. Round w to 0 decimal places.\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k**10\/k)*k\/(k\/(k*k**(-8)*k)))**(-22) assuming k is positive.\nAnswer: k**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 526*t + 2*t**3 - 45*t**2 - 294*t - 25 - 263*t. Is c(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**5\/(r\/(r\/(r**15\/r*r*r))*r) assuming r is positive.\nAnswer: r**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*h - 433 = -142, 4*v - 3*h - 231 = 0. Calculate the remainder when v is divided by (-24)\/(-204) + 1690\/85.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 342146.\nAnswer: 2737168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**8\/504 + t**7\/315 + t**6\/180 - t**5\/90 + t**2. Find m, given that v(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-13))*z**16)\/(z**21\/(z**(-5)*z)) assuming z is positive.\nAnswer: z**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 34. Solve -r*a - a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 110 (b) 5 (c) 0.2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 15 - 25 + 10. Let j(z) be the first derivative of -z**4\/24 + z**2\/2 - 1. Let o(d) be the second derivative of j(d). Calculate o(s(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/7 (c) -1 (d) -1488 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.29 and -17?\nAnswer: -4.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*2 + sqrt(99))*6 - (sqrt(99) + -2*-1*sqrt(99)))\/(-4*(sqrt(81)*-1)\/sqrt(9)).\nAnswer: 15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**3*m**3 + 20*h**3*m - 3*h**3 - 39*h wrt m.\nAnswer: 12*h**3*m**2 + 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -149 - 1?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**7\/280 - x**6\/720 - x**5\/120 - 5*x**4\/24 - x**3\/3 - 39*x**2. Let k(j) be the second derivative of q(j). What is k(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**4\/24 - s**3\/6 - 4*s**2 + 2. Determine d(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 233, 366, 519, 698?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 28 = 5*p. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -486*c - 35. Let o(w) = -718*w - 49. Let m(f) = -5*o(f) + 7*p(f). Let x(r) = 18*r. Calculate x(m(k)).\nAnswer: 3384*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g**5 - 33326*g**4 - 76416*g**3 + 212954*g**2 - 63256*g - 39936 = 0. Calculate g.\nAnswer: -1664, -4, -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -972469*n**2 - 321093*n wrt n.\nAnswer: -1944938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**5\/4 + 5*q**4\/2 + 35*q**3\/4 + 5*q**2 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-18) - 33\/(-27). Let v be n\/((-1)\/24*-3). Let k(q) = -q**2 + 9*q + 9. What is the remainder when k(v) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73542 = 3624*o - 3645*o. List the prime factors of o.\nAnswer: 2, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 3*z. Let s be d(2). Suppose -4*a = s*a. Which is smaller: a or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21587897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*g - 297*g + 20 = 5*v, 3*g + 5*v - 28 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, n: 3, l: 13, u: 1}. Give prob of picking 1 l and 1 n.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 35, -5, 0, 84 in descending order.\nAnswer: 84, 35, 11, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*u, -109*n + 3*u = -106*n - 390. Solve -n*o + 312 = -82*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70820 = 25*o - 16455. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2735 divided by -11136?\nAnswer: 2735\/11136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 625, 627, 629?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1170 and -10\/13?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2. Let f(o) = o + 1. Let g(y) = -5*y - 1. Let n(j) = -f(j) - g(j). Calculate n(x(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -507*x + 484*x + 28796. List the prime factors of x.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-26))\/(6\/(-8)). Let i = r - -35\/143. Which is bigger: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y + 6 - 13 + 3 + 9 - 1. Calculate t(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 7. Let l be r(-6). Let m = l + 4. Suppose m*g + 7 = 72. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 3 + 29*h**2 + 2 - 27*h**2.\nAnswer: -(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**5\/20 + p**4\/3 - 2*p**3\/3 - p**2\/2 + 2*p. Let k be d(4). Let v = -8 - k. What is the remainder when 26 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104952, 104953, 104954?\nAnswer: 104955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*i + 5 - 5)*(5 - i - 5)*(5*i - 5*i + 3*i) as w*i**2 + k*i + u*i**3 + t and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -46 + 1b73895?\nAnswer: 1b7384c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**6\/120 - p**5\/60 - p**4\/24 + 5*p**3\/3 + 19*p**2. What is v(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2397, 5971, 9545, 13119?\n\"Answer: 3574*s - 1177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 169726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71928 + 101169. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-448)\/(-44) + -7 + -3 - -5*(-1035)\/693.\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/1020249 and -16\/33?\nAnswer: 11222739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295, -587, -869, -1135, -1379, -1595?\nAnswer: -1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -380706040 plus 3?\nAnswer: -380706037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 5)*(-x + 2 - 2)*(0*x**2 + 0*x**2 - 3*x**3) + (-x + 2 - 2)*(952*x**3 - 284*x**3 + 369*x**3)*(-3 + 3 + 1).\nAnswer: -1019*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/3 + 88*x**3\/3 - 968*x**2 - 34*x - 69. Let q(v) be the first derivative of z(v). Find r such that q(r) = 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -238 (b) 0.3 (c) 0.08 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/36*-3*3\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79201?\nAnswer: 79201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 213105359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -15528 less than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 10292192.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1166.0709 and -20182.\nAnswer: -19015.9291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*1)\/(1\/(1*(-105)\/15)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 12 (b) -1\/12 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/12 and -83\/7940?\nAnswer: 23820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1128, -4529, -10200, -18141, -28352?\n\"Answer: -1135*s**2 + 4*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 t when four letters picked without replacement from iiitiiiiiit.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/(-3)*(-2)\/6. Suppose 3*m - 8*m = w. Is m - 0 - -3 - 0 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3\/3 + 34*u**2\/3 + 59*u + 84 = 0.\nAnswer: -28, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fof when three letters picked without replacement from offfn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**3\/3 - 11*z**2\/2 - 3*z - 7. Let d be i(-7). Let n be 15*-10*(-11)\/6. Calculate the highest common divisor of d and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3276\/(-15015))\/((-8)\/(-10)) - (-235)\/660?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9314782 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24023, 48329, 72645, 96977, 121331, 145713, 170129?\n\"Answer: y**3 - y**2 + 24302*y - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472 divided by -118.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 45 = -11. Calculate the remainder when 2\/(16\/533) - 795\/424*(-2)\/10 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71253 is divided by 3235.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvyf when four letters picked without replacement from fyyvyyf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1341585545 and -35687.\nAnswer: -1341621232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l + 46. Let v be k(-21). Suppose 2*h + 36*g = 31*g + 1, 3*h - 5*g - 14 = 0. Sort v, h, -45.\nAnswer: -45, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -2 (c) 22 (d) -5 (e) -2\/165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2 (b) 9 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, -1, 2, -43, -5, -4 in descending order.\nAnswer: 58, 2, -1, -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116316574 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/13 + 18*o**4\/13 + 6*o**3\/13 - 146*o**2\/13 + 192*o\/13 - 72\/13 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*k**3*q**4 - 6*k**3*q**2 + 2*k**2*q**3 - 4*k**2*q**2 + k*q**4 wrt q?\nAnswer: 480*k**3*q + 12*k**2 + 24*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 9 = -5*i. Solve 19 = 5*w + b, 0 = -2*w + 3*w - 5*b - i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 0 + 5*k**2 + 1\/12*k**5 + 0*k**3 + 0*k**4 + 0*k. Find n, given that m(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.498677 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5ca + -1?\nAnswer: -5cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9960.92 meters?\nAnswer: 9960920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*g + 48, 4*a + 80 = -a + 5*g. Let z(w) = 2*w**3 + 33*w**2 - 2*w + 5. Is z(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(35))\/sqrt(5) + -5.\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 5*k**9\/126 - k**8\/12 + 103*k**5\/12 - 10*k**2 - 4*k. What is the third derivative of z(l) wrt l?\nAnswer: 2400*l**3 - 1680*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(136) + 3*-6*sqrt(136) + sqrt(136))\/(sqrt(40)\/sqrt(500)).\nAnswer: 800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-4)\/(4\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 221015.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2*24\/(-18). Suppose -2*u + 1 = -3*h - 3, u = 4*h - 3. Let w = -3 + 9. Solve -w*l + u*l = -n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(68) - (sqrt(68) + 0)))**2 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, q: 3, n: 5, l: 6}. What is prob of picking 2 l and 1 n?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 575871308 to the power of 1\/3, to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7157389 - 7155739.8881. Let o = j - 1649. What is o rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 408 + -238. Find the second derivative of -6*h - 168*h**2 + h + f*h**2 + 7 - 22*h**3 + 4*h wrt h.\nAnswer: -132*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 66305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 7*i**6\/10 - 5*i**4\/6 + 46*i**3\/3 + i**2 - 4*i + 14. Find the second derivative of z(x) wrt x.\nAnswer: 252*x**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 21 = -78. Suppose -7*l + 3*l = 32. Let i = l + 9. Calculate the lowest common multiple of i and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.341099292 rounded to 3 dps?\nAnswer: -0.341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 225 = b. Let q be (-1)\/(b\/24 - -3). Suppose q*r = 6*r + 18. Calculate the remainder when 35 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 0 = -15, -4*x - 3*i = -27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 310929?\nAnswer: 1243716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127669755\/45107216 + 2\/402743. Let t = 22\/7 + l. What is the common denominator of t and -145\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*h + 322*h + 327*h - 938*h.\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 7. Suppose 4*k = -k - 20. Let m = x + k. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 4:48 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33, 137, 309, 549?\n\"Answer: 34*o**2 + 2*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/97, 2\/11, -2\/11, 1\/5 in descending order.\nAnswer: 1\/5, 2\/11, -2\/97, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*x**2 + 0 + (-8 + 2*x - 4 - 5)*(-4*x - 2*x + 2*x).\nAnswer: -10*x**2 + 68*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61709504 by -2656.\nAnswer: -23234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.7, -7, -14332?\nAnswer: -14332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 208741525 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*c - 22 = 0, 0 = 5*c - 5 - 0. What is the units digit of -7*(y\/21 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 27966.\nAnswer: 167796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2\/x**(1\/8))\/((x*x*x*x\/x**6*x)\/x**(1\/5)))**(-26) assuming x is positive.\nAnswer: x**(-1599\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*u = -2*h + 10, -3*h - u + 7 = 0. Suppose 5*l = -5*k - 5, 2*k + k = -h*l. Let g be 8\/k*7\/14. Solve -4*z + q - 30 = -9*z, -g*z = 3*q - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28249 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2625 and 4779?\nAnswer: 4181625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8345256.\nAnswer: 2, 3, 19, 18301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/39390 and -119\/650?\nAnswer: 196950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 366*t**2 + 111 - 111 + (4*t**2 - t**2 - 4*t**2)*(2 + 2 - 2) + (0 + 0 + 1)*(-2*t**2 - t**2 + 4*t**2).\nAnswer: 365*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 2 (c) -2\/5 (d) 2\/5 (e) -17 (f) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*12\/(-195))\/(49\/((-11515)\/47))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*n + 160*n + 252 = 0. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 0.07, -26?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 659*x**3 - x**2 + x - 1. Let c be j(1). Suppose -c + 172 = -3*t. Suppose 306*l - 351*l = -1215. Calculate the greatest common factor of t and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 1663779?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/2 and -119\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -27 (b) 4 (c) 1 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -7\/5*l + 0 - 1\/5*l**2 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - 157. Let z = -175.6 - o. Let h = -66.1 + z. What is h rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.2.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3) - (-171)\/(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*2 + -1 + (sqrt(75) + -2)*-3 + -3 + -1)**2.\nAnswer: -10*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 13*q - 15. Let v be m(12). What is the units digit of (-264)\/1*3\/(v\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 7*s**2 + 21*s - 9. Let b be o(9). Suppose -13*c = -10*c - b. What is the greatest common factor of 33 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -155*i + 135*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6390111 divided by 1.\nAnswer: 6390111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 125.\nAnswer: 6\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4377*t - 2263*t - 1179*t)*(2 - 1 - 3) to j + r*t and give r.\nAnswer: 15638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4536)\/18*(1 + 17\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 426083?\nAnswer: -426085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -27\/827 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 - 73*b**2 - 73*b + 23. Give s(-23).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -52.2 (b) -0.1 (c) -5 (d) 1 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480 - -1.\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, 8, 52, 152, 326, 592, 968, 1472?\n\"Answer: 3*o**3 + o**2 - 18*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 173*s**2 + 140*s - 718. Is k(-171) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229846?\nAnswer: 2, 149, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*v, -6 = -5*y - 147*v + 151*v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82696, -82691, -82674, -82639, -82580, -82491?\n\"Answer: g**3 - 2*g - 82695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 67060140 to the nearest one million.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -430490 rounded to the nearest 1000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (23 - -7) - -13?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 + 0)\/(-3))\/((-24014)\/4466604)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert e2b (base 16) to base 12.\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:47 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (3 + 6 + -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 11 (b) -4 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(17)*6)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 6) + -9 - (216 - 215)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 39. Calculate the remainder when 18 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1549.\nAnswer: -3\/1549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 f when four letters picked without replacement from {f: 5, g: 2, i: 13}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 - 45*t**2 + 5*t - 7. Let y(z) = -z**3 + 22*z**2 - 2*z + 2. Give -2*q(a) - 5*y(a).\nAnswer: -a**3 - 20*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 31, -5048, -1?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w + 6759 + 4447. Does 42 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -3*s**2 - 66*s - 41. Let g be h(-12). Solve -3*c + t = 2*c - 9, 0 = 2*c - t - g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 283875\/7 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 + 2bd4b?\nAnswer: 2bd73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jajaaajajjajjajaaj. What is prob of picking 3 j?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54490\/(-130) - (-4)\/26. Let z = f + 2088\/5. Let y = -4665 + 27877\/6. What is the common denominator of y and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110435.300025 + -110432. Let a = 3.3 - t. Round a to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 1096437 = -9856437. Round i to the nearest 10000.\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/2120 and -41\/151792.\nAnswer: 758960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1595 + -7924\/5. Let n = k + -101\/10. Let b = -6.9 + 2.9. What is the second smallest value in -3, b, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 43*m + 338 = 0. Solve 126 = -m*f + 8*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*y*y*y**12 assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*w - 22*w + 122. Find the second derivative of -43*g**4 - 8*g + w*g**4 + 27*g wrt g.\nAnswer: 216*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -1\/12*h**4 - h + 0 + 0*h**3 + 0*h**2. Let a(s) = 3*s + 8. Let t(m) = -7*m - 18. Let y(c) = -9*a(c) - 4*t(c). Give y(x(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 19*c**2 + 3*c + 4. Let l be q(19). Suppose -h + 135 = -l. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143 - 14*r**4 + 143)*(2 - 2 + 2*r + (-5*r + 4*r - 6*r)*(-3 - 1 + 2)*(0 + 4 - 2)).\nAnswer: -420*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(114) + -2*sqrt(114))*3)\/(1*sqrt(384) + sqrt(6)).\nAnswer: -sqrt(19)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 3. Let i(k) = 4*k**2 - k - 2. Let r be i(2). Let z = r + m. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 30 and 1915?\nAnswer: 1885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10709018 (b) 2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053)*1*-6 - (0 + sqrt(1053) + -4).\nAnswer: -63*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4182554.\nAnswer: 2, 29, 37, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 3*k**2 - 1. Suppose -5*a - 45 + 35 = 0. Let n be h(a). Suppose 110 = 5*y - n*u - 530, 4*y - 475 = -5*u. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1421 + 4?\nAnswer: -1417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -200111102010?\nAnswer: 200111102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 4 = -12*z. Which is the second smallest value? (a) -1 (b) 3\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.3, 44\/7, -6\/37?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2098980, 2099035, 2099090, 2099145, 2099200?\nAnswer: 2099255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55297.2247 + 55294. What is n rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -10 - -13 - (7 - 5 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**4\/2 + 82*v**3\/3 - 185*v**2 - 450*v - 1988. Find q, given that o(q) = 0.\nAnswer: -45, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12018725483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -656, -658, -660, -662, -664, -666?\n\"Answer: -2*o - 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6350 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10445923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61473*y**3 + 29*y**2 + 32*y**2 - 61*y**2.\nAnswer: -61473*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p. Let y(o) = -6*o**2 + o - 1. Let w(t) = -37*t**2 + 3*t - 4. Let l(z) = w(z) - 4*y(z). What is l(d(f))?\nAnswer: -208*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 a factor of 108880638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k + 24. Let z be l(-8). Solve 2*d - 4*o = z, -5*o - 2 = -3*d - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**4\/8 + b**3\/6 - 3*b**2\/2 + 4*b. Let u(p) be the first derivative of w(p). Differentiate u(c) wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1745, -1765, -1811, -1895, -2029?\n\"Answer: -2*b**3 - b**2 - 3*b - 1739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -12*s**2 - 59*s + 2. What is h(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5671371 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775986 is divided by 113.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*q*r**3 - 164596*q*r**2 - 3*q + 2*r**2 + 2034822*r - 18 wrt r?\nAnswer: 162*q*r - 329192*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s. Let q(m) = -2*m + 7*m - m + 3*m. Let l(k) = -2*q(k) - 3*t(k). Calculate l(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 369226092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4*(-2)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7754*a**2 + 10*a - 4003*a**2 - 4396*a**2.\nAnswer: -5*a*(129*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154 or 6050?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a day in minutes?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28255852 * -8\nAnswer: 226046816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 168*i + 2*i**2 - i**2 - 200*i + 1 to the form u*i**2 + x + r*i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 184\nAnswer: -5\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*d - 14211 = -138*d + 12473 + 7894 for d.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(5 + 43)*-12. Solve 5*y - 17 = 4*v, q*y - 1 = 5*v + 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-2\/3)*y)\/(y**3*y))**9)**21 assuming y is positive.\nAnswer: y**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19914, -19522, -18884, -18012, -16918, -15614, -14112?\n\"Answer: -2*w**3 + 135*w**2 + w - 20048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a factor of 77617652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-325)\/(-15) - (-2)\/6. Suppose -k = -7*x + 2*x + v, 5*x = -v + 18. Solve x = 3*z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u - u**3 - 3*u - 1 + 2*u**2 - 3*u. Let s be m(-2). Suppose -2*c - 5*a + s = -132, -3*c = 4*a - 237. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**4 - 25*j**3 + 93*j**2 - 168*j + 108. Let d(f) = -24*f**3 + 92*f**2 - 166*f + 108. Let k(o) = 3*d(o) - 2*t(o). Solve k(i) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -162.2907 and 158335?\nAnswer: 158497.2907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/129, 13.2, -9, 1 in descending order.\nAnswer: 13.2, 1, -4\/129, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 959207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 - 6*z + 2. Let k(m) = -m**2 - 7*m + 3. Calculate 4*k(v) - 5*s(v).\nAnswer: 11*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3635805 and 250860?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 17*u + 66. Let b be m(-10). Let s be (-7)\/2 + 2\/2. Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/5)\/(2 + 32\/(-20)). Is -1 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9181 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 696 - 1408 + 723.\nAnswer: -3*n**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + -9169?\nAnswer: -9181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4047686287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 25*i + 113 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.07 + 17. Let v = 3.93 - r. Let u = v - 3. Is 2\/3 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 240100 to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 1 - 2) + 10 + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 5*n**2\/2 + 1. Let b(z) = 12 + z + 4 - 27 + 11. What is o(b(g))?\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*g - 2, 8*u = 13*u - 4*g - 18. Suppose 32 = -3*f + 4*v, -f = f - 3*v + 23. Which is the nearest to f? (a) -3 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/(-6)*2 + 0. Suppose 66*o = 26*o + 840. Are o and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -527538, -1055062, -1582586, -2110110, -2637634, -3165158?\nAnswer: -3692682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 138*v = -85*v + 2050 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffcfcffcfff. Give prob of picking 2 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 15) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {z: 2, d: 10}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f - 33. Let r be z(8). Let g be (r\/((-105)\/9))\/(9\/3). Which is the nearest to -1? (a) -0.3 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67 and 99763.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a**(-19)\/a)))\/(a*a**(-8)))\/((a\/((((a\/(a**(-8\/9)\/a*a))\/a)\/a)\/a))\/(a**(-28\/5)*a)))**(2\/39) assuming a is positive.\nAnswer: a**(-1774\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 4 (b) 7 (c) -166 (d) -0.4 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5546329 (base 10) to base 5\nAnswer: -2404440304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 - 24*x**2 - 97*x - 26. What is d(-11)?\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -68, 1, 2 in increasing order.\nAnswer: -97, -68, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:48 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -22. Suppose -h*v = -0*v + 2*p - 62, 0 = 4*v - 3*p - 77. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 44309360 and -31.\nAnswer: 44309329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -40. Solve -6*x = -f*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -0.36, -2, 5 in decreasing order.\nAnswer: 31, 5, -0.36, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*z + 6*z - 145, 4*a + 181 = 3*z. Let s = z - 29. Let b = s - 15. What is the least common multiple of 7 and b?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 35, 70, 109, 152, 199, 250?\n\"Answer: 2*v**2 + 25*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*u - 81*u + 42*u + 1 + u**2 wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 844362*p. Let k(q) = -2*q. What is k(l(h))?\nAnswer: -1688724*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -309\/65 + 54\/13. Let q = -2892 - -2891.5. Sort -0.1, -1, g, q in descending order.\nAnswer: -0.1, q, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**3\/o)\/o)\/o**(-3)*(o\/(o\/(o*o*o\/(o**0*o))))**(4\/7) assuming o is positive.\nAnswer: o**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g. Let b = 95 - 105. Let w be 279\/6*b\/(-15). Let z(h) = -64*h**2 + 38*h**2 + w*h**2. What is z(n(p))?\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 48 + 36. Suppose -2*l = 3*t - 23, 3*l - 5*t + y = 2*l. Solve 2*d = l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p*y**3 - 15549007*p - 22782212*y**3 - 1 wrt y.\nAnswer: -3*p*y**2 - 68346636*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1985 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.3, 0.053, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*k = -3*c + 363, -605 = -5*c - 4*k. Let y(p) = 10 - p + 47 + 0*p + p**2 + c. Calculate the remainder when y(0) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 99\/6 - (-1)\/(-2). Suppose 0*i - 3*i = -n - 16, 0 = 3*i - 2*n - 20. Calculate the highest common divisor of g and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150454104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(35)\/sqrt(5))**2*2 - sqrt(7) - (1 + sqrt(28))**2).\nAnswer: -30 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*w = 4, 2*p - 45 = -3*p - 3*w. Suppose -p*l - 428 = 112. Let y be (-2 - (-14)\/5)*l\/36. Which is smaller: y or -12\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.17 and 0.1.\nAnswer: 0.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514 - 192 = 14*c. Suppose -y + 0*p = p - 15, 3*y - 37 = -5*p. Let r = c - y. Solve -r*n + n = 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*o - 54 = 0, 6*i - 3*o - 5 = -5*i + 4 + 47 - 142 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 124*y - 232.\nAnswer: -4*(y + 2)*(y + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2. Let m(p) = 2*p**2. Let w(o) = o + 5*o**2 - o. Let r be 1*(0 - 3\/1). Let v(k) = r*w(k) + 7*m(k). Give v(f(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5427.292 nanometers to millimeters.\nAnswer: 0.005427292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*y - 0*y + 8, 10 = 4*y + 2*h. Let d(f) = f + 6. Let m be d(-4). Suppose m*p = -3 + 15. What is the greatest common factor of y and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in minutes?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2569\/4 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 = 10*o - 7*o. Let i = 319 - o. List the prime factors of i.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(70)*2*-5*-3)\/(sqrt(50)\/(sqrt(20)\/sqrt(4)) - 5*sqrt(10)*1).\nAnswer: -15*sqrt(7)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {i: 4, b: 5, g: 1, h: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 387*r**2\/7 + 18624*r\/7 + 9409\/7.\nAnswer: (r - 97)**2*(2*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*l - 5*l + 13, 5*l + 5*b = 5. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.405 + 3.595. Let m = 7 + -6.9. Which is the nearest to m? (a) 5\/4 (b) k (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1656787 = 123*z - 444668. What are the prime factors of z?\nAnswer: 3, 5, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/13 - (2 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -2132?\nAnswer: -2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-4))\/((-24)\/32). Suppose q*p = 5*p - 9. Suppose 3*m - 7 = -p*a + 5, -2*a + 11 = 5*m. What is the least common multiple of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 5*z + 9*z)*(-z**2 + 0*z + 0*z) to f*z**3 + c*z**2 + l*z + t and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*i = 160*i + 2*y - 10, i + 6 = -2*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 340683 to the power of 1\/2, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69003 and 10098.\nAnswer: 414018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11524506, -11524516, -11524526, -11524536, -11524546?\n\"Answer: -10*s - 11524496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2. Let u(h) = -2*h + 2. Let x(a) be the third derivative of a**4\/12 + 3*a**3\/2 - 2*a**2. Let y(f) = -3*u(f) - x(f). What is y(o(n))?\nAnswer: 8*n**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + (sqrt(405)*2)**2 - (4 + sqrt(405) + sqrt(405)*-2 + -2))*-5 + 2.\nAnswer: -8068 - 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 16 - (-10 + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/4)*j*j)\/j*((j**(2\/19)*j)\/j)\/j*j*(j\/(j\/(j\/j**(-1))))**(-1\/4))**(-2\/95))**(-25) assuming j is positive.\nAnswer: j**(515\/722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (4\/(-44) - (-1)\/11). Let x = 28 - 24. Which is the biggest value? (a) p (b) 2\/9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 612\/45 + (-2)\/(-5). Suppose -3*u + 3*p + 24 = 0, 2*p - 4*p = 3*u - b. Solve -3*h + 8 = -4*s, 4*s + 2 + u = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742275050 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 63, 80, 97, 114, 131?\n\"Answer: 17*k + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/22 + 6\/33. Suppose -l - 5 + 7 = f. Solve k + l*k - 2*y = -10, 2*y = -3*k - 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-2))\/((-2)\/(-4)). Let f be (1\/((-2)\/(-4)))\/o. Differentiate 0*r**3 + 3 - f + r**3 with respect to r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -259 (base 10) to base 11\nAnswer: -216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 550 + -542. Suppose 0 = -0*y - 4*y + 40. What is the remainder when q is divided by (12\/y)\/(2\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -2*6\/(-4). What is the common denominator of 77\/2 and ((-25)\/16)\/(k\/(40\/(-3)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 5*h + 20, -147*s + 4*h - 21 = -142*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g - 63. Is 52 a factor of ((-763)\/g)\/((-3)\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 20. Calculate u(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1804\/(-2706)*-2*(-1)\/(-4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*n - 4. Suppose y - 5*w = 34, 5*y - 97 = n*w + 142. Does 42 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.3487l in millilitres?\nAnswer: 57348.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, -2, -1\/213, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Let t = -3998 + 3998. Solve t = -3*m + 4*w - 15, -v*m + 4*w + 4 = 21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2198*t**3 + 2*t**2 - 24*t + 914?\nAnswer: -13188*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 g when three letters picked without replacement from {c: 2, k: 6, g: 6, v: 3, x: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5449*r + 5444*r - 49 = 10889*r, 2*j + 2*r = -58 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 140 = -2*r. Suppose -3*l + 15 = s, 5*s + 4*l + l - r = 0. Factor -1\/4*v - 3\/4*v**2 + 1\/4*v**s + 3\/4*v**4 + 0.\nAnswer: v*(v - 1)*(v + 1)*(3*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1)\/((-6)\/(-24)). Solve h - g = -3*q, 2 = 3*h - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 118*y - 470. Give z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by 4719?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478, -967, -1456, -1945, -2434, -2923?\nAnswer: -3412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 61*d**4\/6 + 7*d**3\/6 + 5*d**2 - 10*d. Is l(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:36 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 938 + 61. Let n = a - 380. List the prime factors of n.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/364)\/((-59)\/6903)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 691, 1939, 3245, 4609, 6031, 7511?\n\"Answer: 29*j**2 + 1161*j - 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/3)\/(((-2)\/(-3))\/(-2)). Suppose -9*k + u = -8*k. What is the remainder when 4 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnrrcxbrxxnnbhb. Give prob of sequence ccn.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8961*s**5 - 6*s**4 - 403*s**3 - 942187*s**2 + 60 wrt s?\nAnswer: 537660*s**2 - 144*s - 2418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 2 - q**3 + 4*q**2 + 6*q**3 + 3*q - 3*q**3. Let n be b(-3). Solve -4*g = -n*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/6*(-8)\/(-6). Let w = -8802 - -8801. What is the nearest to 13 in 2, j, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12878, 65029, 156456, 287159, 457138, 666393, 914924?\n\"Answer: 19638*v**2 - 6763*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.1. Suppose -180*v - 144*v - 24*v = -31*v + 2853. Which is the second biggest value? (a) 0.04 (b) -0.5 (c) v (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 1)\/((-86)\/10 + 8) + 15. Solve 25 = 5*d + 2*p, -2*d + b = -4*p + 9*p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 3*k. Let w(n) = n**3 - 5*n**2 - 7*n. Let d(q) = 8*q. Let s be d(-1). Let b = s - -13. Give b*i(v) + 2*w(v).\nAnswer: 2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 169, 254, 341, 430?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -0.6. Sort -1\/5, z, -1\/3, -0.1 in ascending order.\nAnswer: -1\/3, -1\/5, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27 + -28)\/(((-6)\/4)\/3). Let p = -14 - -27. What is the derivative of 125*x - 37 - 62*x - 63*x + p*x**g wrt x?\nAnswer: 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, -8, 30 in ascending order.\nAnswer: -14, -8, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 19*t**2 - 18*t + 11. Let u be z(-18). Is u\/(-33) - (-12460)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(2\/5))**(-38))**(-20) assuming n is positive.\nAnswer: n**1216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 590 + -204. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -556068 * -0.2.\nAnswer: 111213.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/6 and 33\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/(-6)*(-9)\/(-6). Is -6 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6677 and 11.\nAnswer: -73447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w - 4. Let b = 20 - 23. Let l be z(b). Let d(s) = s**2 - 10*s + 19. Let f be d(l). Solve -10 = -5*a - c, -f*a + 2*c - 8 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2064\/(-22050) - (-358)\/26313. Suppose 5*g - 2*o - 35 = 0, -2*o - 10 = g + o. What is the second smallest value in 1\/17, u, g?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*u + 10, 90*s - 6*u + 14 = 88*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + (sqrt(91) - (-2*sqrt(91)*5 + sqrt(91))) - (sqrt(91) - (sqrt(91) + sqrt(91)*-1) - sqrt(91))*6)\/(((sqrt(294)*2)\/sqrt(6))\/sqrt(7)*3))**2.\nAnswer: 1573\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a + a - 2*a)*(-7*a**3 - 3*a**3 + 3*a**3) + 11*a**4 - 9*a**4 + 16*a**4.\nAnswer: -17*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**5\/5 + 9*t**4\/16 - t**3\/2 + t**2\/8 - 4. Factor w(y).\nAnswer: -y*(y - 1)**2*(4*y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -9*f + 4*f - 10, 3*f - 18 = 3*s. Suppose 776*x + 254 = 789*x + 33. Calculate the least common multiple of x and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/16)\/((-3)\/(-2)). Let u(y) = 2*y**2 + 14*y + 3. Let b be u(-7). What is the smallest value in v, b, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545315961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c - -15a?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3806 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*u + 72*u - 33 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -138, -0.5, -4, -0.1, -13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33927 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44957608 * -0.1.\nAnswer: 4495760.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 6 = -11*d. Suppose -d*o = -p - 104, 5*p = -2*o + 47 + 57. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**3 - 14957*w + 14957*w.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -218973, -437941, -656909, -875877?\n\"Answer: -218968*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ascslwasbww. Give prob of picking 1 b, 1 w, and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**2. Suppose l + 6 = -6*b, -2*b = -2*l - 4 + 6. Let j(o) be the second derivative of 5\/6*o**3 + 19*o + 0 + l*o**2. What is j(r(s))?\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27, -0.4, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1261164 * 175\nAnswer: -220703700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 581459 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 971, 1941, 2911?\n\"Answer: 970*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.418 take away -31405627659?\nAnswer: 31405627659.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s + 7. Let j be 1\/((-1)\/2) + 7. Suppose 6*d = d + 70. What is the remainder when u(j) is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**4\/12 - 7*d**3\/6 + 6*d**2. Give z(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b + 0*b = -13413 + 13738 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205053240 (base 6) to base 12.\nAnswer: -1257220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 367*h + 199*h + 3 to u + i*h and give i.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 1:33 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*y - 5892, -3*j - 12*y = -15*y - 4416. Let k = j - 646. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -6. Let n(u) = -3*u - 6. Let d be n(g). Let b(q) = 2*q**2 + 4*q. Let a be b(-3). Calculate the greatest common factor of d and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 47*o + 51. Let m be p(-9). Let h(r) = 24*r**2 + r - 3. Let z be h(5). Let l = m + z. Calculate the highest common divisor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyfffgyfcffffyy. What is prob of picking 3 f?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*l = 9*l. Suppose l*b - 10*b = 205000000. Round b to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*j + 12*j - 3*j**2 - 31*j + j**4 - 2*j**3 to the form x*j**2 + v + d*j**4 + f*j**3 + h*j and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.92 - 0.08. Which is the smallest value? (a) p (b) 2\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 381441*y + 381444*y = 0, 2*p = -12*y + 66 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i**(-2\/9)*i)\/((i**(3\/4)\/i)\/i**(-7)))**19 assuming i is positive.\nAnswer: i**(-4085\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o**1*o)\/o))\/o)**(-4\/7))**(-24) assuming o is positive.\nAnswer: o**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50888*l - 48447*l - 126140*l - 297815*l.\nAnswer: -421514*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or 405?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + -9)*(-124)\/(-6). Let h = c - -135\/2. What is the common denominator of -29\/11 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104513224 (base 6) to base 7\nAnswer: -22132132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67641 is divided by 189?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 0*k - 10, 2*h = k - 96. Let m = 74 + h. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -0.0278.\nAnswer: -2.0278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006908607 rounded to 5 dps?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 733752*v. Let c(m) = -6*m. Determine c(r(t)).\nAnswer: -4402512*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 3*x**3 - 3*x**2 + 6*x**3 - x**3.\nAnswer: 4*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6684 + -6.2686. Round k to one decimal place.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -133*s + 56. Let o(g) = -7*g + 3. What is 56*o(b) - 3*z(b)?\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/n**(-1\/3))\/(n*n\/(n\/n**(-3\/2))*n)*(n**(2\/3))**(-13))**(4\/11) assuming n is positive.\nAnswer: n**(-70\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 716 (base 8) to base 10\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 1511580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 6, -1, -4 in descending order.\nAnswer: 6, -1, -4, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*j + f, 4*f = 2*f + 6. Let v(d) = d**2 - 8. Let w be v(j). Solve -2*s = -6*s + w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2743 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010259512535 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*f - 87 = 0, -3*j + 5*f - 3*f = 108. Let m(r) = r**3 + 32*r**2 - 108*r - 73. Calculate the remainder when m(j) is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + z + 1. Let t be w(-1). Let q(i) = -i - 5. Let x be q(-6). Let f = 0 - x. Which is the nearest to t? (a) f (b) -0.2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139 times -1.385\nAnswer: 192.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/4))**29*d**(-12)*d\/d**(2\/13)*d*d*d assuming d is positive.\nAnswer: d**(1461\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 41749215.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 799 less than 0.0761?\nAnswer: -798.9239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155 + -155.4. Let m = 22 + -87\/4. What is the third smallest value in h, m, -0.01?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 21870*x**3 - 7 + 21879*x**3 + 21837*x**3 - 65700*x**3.\nAnswer: -114*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -38*l - 24. What are the prime factors of u(-8)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -0.2, -3\/4, 0.16, 2, 1.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*h - 2, -2*t + 14 = 5*h. Find the third derivative of -a**2 + 35*a**3 - t*a**2 - 27*a**3 - 13*a**2 wrt a.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 262*n - 2 + 3*n**2 - 5*n**2 - 261*n + 3. What is w(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -12\/7, -0.4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 5*j**3 + j**3 + (4*j + j - 3*j)*(-4 - 3*j**2 + 4))*(-6 + 3 + 2)*(-4 + 6 - 3)*(3*j - 4*j + 0*j)*(189 - 189 - 2*j).\nAnswer: -22*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + 1 + sqrt(448) + 2.\nAnswer: 6 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 4946314?\nAnswer: 4946314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -5. What is the highest common divisor of 215 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -53*c - 1. What is the hundreds digit of z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 17 + 4 - (204\/15 - 5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 k when three letters picked without replacement from {d: 1, k: 4, n: 3}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k - 8. Let r(g) = -15*g + 24. Let x(z) = 11*h(z) + 4*r(z). Let p be x(-12). Let w = 120 - p. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + f**3 - 2*f**3)*(-2*f + 5*f - f) - 2*f**4 + 0 + 0 + (-4*f + f + 5*f)*(f**3 + 3*f - 3*f) + (3*f - f**3 - 3*f)*(-17*f + 10*f - 4*f).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 171*o - 373 wrt o?\nAnswer: 171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 65?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30209 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 1. Let n be o(0). Let w be 0\/(n\/(3\/(-6))). Suppose w = 5*c - 389 + 59. Calculate the remainder when c is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -109?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -1) + (15 - 4). Suppose 0 = a + h + 1, a - 4*a = 5*h + g. Let p(q) = -47*q**a + 13*q**2 - 4*q**2. Let t(l) = -2*l**2. What is t(p(i))?\nAnswer: -2888*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -21 + -1 + 1 + 7 - -6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9023 + 17163. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqqb when four letters picked without replacement from qqqqqbqqqqqb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 7902742698 and -2453.\nAnswer: 7902740245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than or equal to 357\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52334566 is divided by 507?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from {f: 6, u: 3, p: 4, j: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31999 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 65405 and 65398 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + 251?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7*f**3*f*f**(-1\/3)*f*(f\/(f*f*f**(2\/9)))\/f)\/((f\/(f*f\/(f*f**4)*f)*f\/(f**(-4)\/f))\/(f**(1\/4)*f*f**(2\/7))) assuming f is positive.\nAnswer: f**(499\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.4 (c) -2821 (d) 603\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 66, 4, -198, -606?\nAnswer: -1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368 and 27677602?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((-20)\/(-4) - 2). List the prime factors of g + 35 + 0 + -1.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 2, 38, 2\/17?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**3 - 2. Let w(o) = 2*o**3 + o - 3. Give -3*s(f) + 2*w(f).\nAnswer: -5*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6763383915 to the nearest integer?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = t. Let x = 9 + t. Let m(a) = -a**3 + 5*a**2 + 9*a - 9. Let c be m(x). Solve -c = -3*l - 2*f, 0*l - 4*l - 4*f = -16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 7. Let f be r(5). Suppose -3*d - f*t = 0, 4*t - t = -2*d. Let p be 2268\/360 + (-3)\/10. Solve d = -7*v + p*v + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*s - 19 = 0, -4*i + 0*i = -2*s - 16. Suppose -4*w + o + 176 = 0, -74 = i*w + o - 303. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2443 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-493671)\/(-22) + 8\/(-44). Let z(n) = -11217*n - 1. Let t be z(2). Let p = h + t. Calculate the common denominator of -25\/22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*x = 28, -x + 85 = 5*c + x. Suppose 12*i - c*i + 84 = 0. Solve -7*v = -i*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-15)))**(2\/55))**(-20) assuming p is positive.\nAnswer: p**(-120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/(sqrt(56)\/sqrt(8)))\/sqrt(7)*5.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 29.41.\nAnswer: -2.6469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(2*sqrt(28) + sqrt(28) - (sqrt(847) - (0 + sqrt(847))))*-4*1)**2.\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -3, 12, 7\/2, -23?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*t - 0. Let d be 19\/(-12) + (-4)\/t. Let w(z) = -z**2 - 6*z + 5. Let k be w(-7). Is k bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1021233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g**2 + g - 8. Let q(m) = 13*m**2 + 11*m - 29. Let n(x) = -9*x**2 - 7*x + 19. Let j(c) = -8*n(c) - 5*q(c). Give -5*h(d) + 6*j(d).\nAnswer: 2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 2*w**2 + w + 7*w**2 + 0*w**2 + w**2 + (3 + 2 + 3)*(3*w + 2*w**2 - 3*w) to the form s*w**2 + l + i*w and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 100*k**2 + 264*k - 67. Let c be d(-3). Let h = -2 + 3. Let b be (16\/(-4))\/(h + 0). What is the second smallest value in b, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/182283680 and 81\/45570920.\nAnswer: 182283680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 - -3) + (-19 - (11 + -18) - 3).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 222 = -4*b, 2*u = -5*b + 3*u - 270. Let a = b - -57. Solve 2*f + 18 - 2 = 4*s, 0 = -a*s - 5*f + 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.68 + 0.12. Let w = k + -2.15. Let z = -8.25 + w. Round z to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g\/(g\/g**(-3\/5)*g))\/g)\/g)*g)\/g*g\/(((g*g**(5\/2)*g)\/g)\/g)*(g\/(g\/(g*g*(g*g**(4\/5)\/g*g)\/g)))**3 assuming g is positive.\nAnswer: g**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 2\/7 (c) 0.04 (d) -11 (e) 3\/5 (f) 25 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbk when three letters picked without replacement from kkkbwwbkkbxw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 - 63 = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 - -1 - 2) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007054307 to 6 dps.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -447985760 divided by -4?\nAnswer: 111996440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**4 - 4*c**3*p**2 - 2*c**3 + 338*p**2 wrt c?\nAnswer: 4*c**3 - 12*c**2*p**2 - 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 490 = 22*s. Suppose 4*f - s = -2*x, -5*x - 127 = -5*f - 3*x. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-5\/2)*i)\/i*i)\/i*i)**48\/(i**(2\/15)*(i\/i**(-3\/19))\/i) assuming i is positive.\nAnswer: i**(61477\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**3 + 7*k**2\/2 + k. Is y(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*k**2*p**2 + 219*k**2 - 2*k + p**3 wrt p.\nAnswer: -44*k**2*p + 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**2 + 1. Let z be x(1). Let o(p) = p**2 + 4*p + 4. Let y be o(z). Let k = y - 5. Let f(g) = 7*g**2 + g. What is f(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 24*u**2 - 11*u**2 - 8*u**2 - 15*u**2. Let d(q) = -5*q**2. What is d(j(a))?\nAnswer: -500*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000257733 rounded to 7 dps?\nAnswer: -0.0000258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z + 12*z - 108 = -29*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 19*v**2 - 14*v + 98. Let l(u) = -u**2 - u + 7. Let h(k) = a(k) - 14*l(k). Calculate h(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 988*k**5 + 366*k**2 wrt k?\nAnswer: 59280*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 490035 = -91*v. What are the prime factors of v?\nAnswer: 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43597581 - 374.\nAnswer: 43597207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 46*j**2 + 83*j - 126. What is l(-45)?\nAnswer: -1836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 9*l + 28 = 3*d, -2*l + 2*d - 12 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 2 - 9*b + 5*b**2 - 11\/3*b**3 - 1\/4*b**4. Is w(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 2454, 0, -4, 5, -15 in decreasing order.\nAnswer: 2454, 5, 4, 1, 0, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10 + 104854\/(-824) + 127.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h - 25*h**2 + 11*h.\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -4 - 3*r**4 - 23\/3*r**3 + 0*r**2 + 0*r. Find the third derivative of o(q) wrt q.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.04 - -1. Let s = -32 - -31.89. Let l = r + s. What is l rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 4*p - 24, -3*n - 5*p + 8 = 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2. Let c(r) = 22*r**2 + 8. What is c(a(b))?\nAnswer: 88*b**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -2. Let l be (-34)\/(-52) - 2\/13. Factor -w - l + 1\/2*w**b + w**3.\nAnswer: (w - 1)*(w + 1)*(2*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167281.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -225 + 197. Which is smaller: 0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39590 divided by -214\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 1:12 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {z: 3, n: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15791, -15802, -15825, -15866, -15931, -16026, -16157, -16330?\nAnswer: -16551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207386 (base 10) to base 15.\nAnswer: 416ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104886 and 828.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5771833, -0.08, 4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - u + u)*(((-2 + 1 - 1)*(-4 + 0 + 2) + (1 - 1 - 1)*(-2 + 0 - 3))*(40 - 19 + 0) + 3 - 5 + 4) in the form t + x*u and give x.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4\/5))**(20\/7))**12 assuming z is positive.\nAnswer: z**(-192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (274 - 562 + 280)*(0*n - n + 3*n).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence riii when four letters picked without replacement from viiiriuiiuuiuuiu.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2967)\/(-115) - 22 - 8\/10. What is the closest to -2\/3 in -2\/13, 3\/11, k?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(5\/6)\/f)\/f**(-5))**(-4\/7)*(f**0\/f)**40\/(f*f*f*f*f*f\/(f*f**(-1))*f*f*f)**(2\/35) assuming f is positive.\nAnswer: f**(-4544\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffccfcccfcxcccfcf. Give prob of picking 3 c.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 21. Let m = 48 - d. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 272 - 145. Let d = 7366 + i. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 6*r**2 + 3*r - 15. Let l = -28 + 61. Let o = 39 - l. Let w be f(o). Let x(q) = 2*q**2 - 4*q. Determine x(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = q - 4*y + y, 0 = q - 2*y - 26. What is the remainder when (-96)\/(-9)*6 + 0 is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 2*a. Suppose a = q + 3*q - 16. Let d be ((-12)\/9)\/(q\/(-9)). Solve d*u + 25 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w + 61. Determine f(-2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3798*p - 714. What is the thousands digit of l(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h)**(-17\/4)*(h*h*h*(h*h*h*(h*h*h\/((h**(-1\/4)*h)\/h))\/h*h*h*h)\/h*h)**(2\/7) assuming h is positive.\nAnswer: h**(209\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -4\/5 (c) 26 (d) -5 (e) 9 (f) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 7*w**5\/12 + w**2. Suppose 55905*p - 55858*p = -1410. Let y(q) = -q**2. Give p*y(t) - b(t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 340 * 11096\nAnswer: 3772640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 195 - 1 = 0. Calculate the highest common factor of i and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -1 - 2190\/(-23595)*-11. Is l != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 8 - 4)*(0*h - 2*h - 2*h) + (-3*h + 6*h - h)*(-4 + 1 + 4).\nAnswer: -66*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 10) to base 7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14636425 + 14636424.82399838. Let f = 0.176 + n. What is f rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/376 and (-779)\/38*(-1)\/(-6)?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-2 - -2 - -5. Suppose 2*q + r*c = 23, 5*c + 68 = 5*q + 2*c. Let m(k) = k + 16. Calculate the remainder when q is divided by m(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(sqrt(88)*-1 + sqrt(88)) + -5*sqrt(88)*-2)\/(sqrt(8) + (sqrt(8) - sqrt(128))*2 - (sqrt(8) - (sqrt(8) + (2*sqrt(88))\/sqrt(11)) - sqrt(8))).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 0*q**3 + 11*q - 5*q**2 - 9 - 4*q**2. Let k be s(7). Let m be k\/(-4)*(-4)\/(-6). Solve 22 = 4*v + m*g, 1 = -2*v - g + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 342*v = 676, 7*v = -13*u + 7*u + 6*v - 2*v - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 2\/829, 12.\nAnswer: 2\/829, 12, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/30)\/(22\/((-1188)\/234))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*u - 9. Let p = -17 - u. What is the tens digit of (9\/(-27))\/(p\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1572?\nAnswer: -1570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 0*i**2 + 0 + 1\/12*i**4 + 0*i**3 - 41*i. Let v(d) = -2*d**2 + 2. What is v(z(w))?\nAnswer: -2*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 b when three letters picked without replacement from {o: 10, b: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 divided by -240?\nAnswer: 83\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 199*t - 9*t + 285*t to the form k*t + q and give k.\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -80, -152, -256, -392, -560?\n\"Answer: -16*l**2 + 8*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18332 + -18344. Sort z, 1, -11, -2 in decreasing order.\nAnswer: 1, -2, -11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64? (a) 0.2 (b) 3224 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 772 in decreasing order.\nAnswer: 772, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 12*t - 13. Let d be h(12). Differentiate 11*x + 32*x + 30 + x + d*x - 8 wrt x.\nAnswer: 175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 23*v**2 - 43*v - 24. Suppose 22*b = -76 - 386. Let u be n(b). Sort u, 1\/9, 14, -1\/2 in increasing order.\nAnswer: u, -1\/2, 1\/9, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.11 (b) 18 (c) -6 (d) 0.2 (e) -10\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 732.\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/((-12)\/20 + 1). What is the third derivative of -r**2 - n*r + 80*r - r**3 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3*((-18)\/(-9) + -14). Suppose 0 = 145*m - 160*m + 30. Let z = -11 + 17. Solve -z*t + m*t = i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -333, -332, -331, -330, -329, -328?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -14, 1 in ascending order.\nAnswer: -66, -14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -807704 <= -12923267\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/68 + (-31800)\/1275.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -j, -2*p + 146*j - 151*j + 35 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l - 31. Let t be q(-6). Solve -t*j + 2*j = -15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3146 (base 8) to base 6.\nAnswer: -11330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 808, 2503, 5792, 11203, 19264?\nAnswer: 30503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1349313, -1349328, -1349343?\n\"Answer: -15*t - 1349298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5\/2 - 177*k**4\/2 - 951*k**3\/2 + 177*k**2\/2 + 477*k = 0. Calculate k.\nAnswer: -53, -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 15*n + 2. Let d be a(-15). Suppose 3*o + d*k - 328 = -0*k, 5*k - 428 = -4*o. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -57*i + 3. Let n be o(4). Let v be -5 + -63 - -1*2\/2. Let x = n - v. What is x rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2734983 - -12.3?\nAnswer: -2734970.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10624 a factor of 155492864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**6\/360 + n**5\/24 + n**4\/3 + 5*n**3 - 14. Let i(y) be the third derivative of v(y). What is i(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119469 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 23. Let b = g - 8. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -695, -504, -477, -620, -939?\n\"Answer: -o**3 - 76*o**2 + 426*o - 1044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 + 6*q**3 - 3*q**3)*(-2497*q + 7 - 1979*q - 7).\nAnswer: -26856*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -8*r + 10*r. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**8\/7 + 23*k**7\/21 + 11*k**4\/3 + k**3\/3 - 146*k. Find the third derivative of i(a) wrt a.\nAnswer: -960*a**3 + 2760*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128495625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 34\/3*x**3 + 13\/3*x**6 - 26 + 0*x + 0*x**2 + 0*x**5 + 0*x**4. What is the third derivative of j(m) wrt m?\nAnswer: 1560*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/((-16)\/(-240)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 12\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*o**3*z**2 + 4*o**3*z + 4877*o**3 + 5949*o*z**5 + o*z wrt z?\nAnswer: -70*o**3 + 118980*o*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -4204*w**5\/5 + 809*w**2\/2 - 2127. Find the second derivative of m(t) wrt t.\nAnswer: -50448*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 827*r = 772*r + 110. Let t = -2 + 3. Let n be (6\/t)\/3 + 13. Solve 3*h + r + n = y, h + 5*y = 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 + -2 + 0 - -39. What is the highest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4065 - -33?\nAnswer: 4108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -52*z**2 - 35*z - 62. What is k(-1)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/12 - 8)*-3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009735544 to seven decimal places.\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/40, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*x - 6. Suppose -6*m + 66 = -156. Suppose 10*n + 17 - m = 0. Which is the closest to 1\/4? (a) x (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 7*s - 3. Let t be o(-7). Let w = 4 + -1. Sort -1, t, w.\nAnswer: t, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 1. Let x(h) = -38*h**2 + 8*h + 5. Determine 5*v(j) + x(j).\nAnswer: -38*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(363\/6) - (-27)\/(-33).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 1. Let z be b(-2). Let s(o) = -5 + 4 + 2 + 4*o. List the prime factors of s(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*w + 1)*(-257*w**3 - 653*w**3 - 3665*w**3) as v*w + m*w**2 + q*w**3 + g + j*w**4 and give j.\nAnswer: -13725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 8. What are the prime factors of 12*(0 + v)\/(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - 3.95. Let t = -3 - i. Let o = -0.3 - -0.6. Which is the second smallest value? (a) 5 (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 60 = -u - 28, 2*t + 2*u = 56. Solve t = -3*x + 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/4 + 5*x**3 - 15*x**2\/2 + 14*x + 18. Let y be z(14). Find the first derivative of 5*k + y*k + 6*k - 34 wrt k.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + o**2 - 2*o + 1. Let y be b(1). Let r(c) = 2*c**y - 2 + 10*c + 1 - 3*c**2 - 1. Let t be r(6). What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.26305 - -5.7013. Let a = c - -0.11975. Round a to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 7*m**2 + 5*m - 15. Let j be q(6). What is the second biggest value in -3\/5, -3\/2, -0.2, j?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - 1 - (-50 - -77).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4\/3*y**5 + 224\/3*y**2 - 48*y**3 - 128\/3*y + 40\/3*y**4 + 0 = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 93648 (c) -0.05 (d) 2\/3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10180 + 103*a**3 - 10180.\nAnswer: 103*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53990791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 0*y**3 + 15*y**3 + (-y**2 + 0 + 0)*(-1 + 1 - y).\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/((-30)\/(-17850)*-17).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s + 5*p, -5*s = -4*p. Suppose s = 5*l + 4*t + 1, -4*l - t = 1 + 2. Let i be l\/5 + 18\/30. Which is the nearest to 2\/5? (a) 0 (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 3)*(2 - 6 + 1)*(-24 + w + 15 + 12).\nAnswer: -27*w - 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64 * -0.05.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -161, -245?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 19*i - 60. Calculate v(-20).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 24. Suppose c*f = 9*f. Suppose -3*b + 118 = 5*l + b, f = l - 5*b - 41. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 s when three letters picked without replacement from {s: 3, g: 2, t: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -6080026 and -7.\nAnswer: -6080033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*i**5 + 47*i**2 - 8*i**2 - 2*i**5 wrt i.\nAnswer: -1680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/80341388 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 26*m - 9. Let f(s) = 17*s - 6. Determine 8*f(t) - 5*g(t).\nAnswer: 6*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.673 + -319.673. Let u = 318.9255 + n. What is u rounded to three dps?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 * 8605\nAnswer: -28396.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006121377228 to five dps.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1392 = -3*b + 1329 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -94*z**3 - 3*z**2 + 202*z + 204. Let i be d(-1). Solve 178 = 17*y + i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 1. Let q(u) = 6*u + 12. Let s(w) = -8*h(w) - q(w). What is s(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 9*z**2 - 8*z - 15. Determine c(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 920*d + 42320.\nAnswer: 5*(d - 92)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07 + 0.23. Suppose -11*n - 2138 = -2193. Let l = 0.8 + 2.2. What is the biggest value in l, a, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13365 + -13.149\nAnswer: 13351.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 354 divided by -6\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + 0*f**4 + 2*f**4 - 2*f**2 + f to n*f**3 + g*f + q*f**4 + z*f**2 + o and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let x be f(-5). Suppose 0 = 2*h - x*h + 30. Let d = 33 + -29. Solve d*r - 3*o + h = 0, 0*o = -4*r - 2*o - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {q: 2, g: 1, e: 1, h: 2, b: 1, a: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*k - 582 = -614, 70 = 5*i + 5*k for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34835 and 27868?\nAnswer: 139340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 122 = x - 51, -3*x = -5*s + 416. Suppose p = 2*p - s. Let d = p - 61. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y - 12. Let j(l) = -1. Let s(n) = -12*j(n) + p(n). Let q(a) be the second derivative of -19*a + 0 - 1\/3*a**3 + 0*a**2. What is q(s(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 1. Suppose -4*x + m = -5*x - 11, 26 = -x + 4*m. Let v = 10 + x. Let b = -7 - v. Calculate j(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12*-7)\/(35\/(-10))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159777\/3690 + (-18)\/60.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - t - 16. Let m be 5 - (12\/4)\/(-1). What is the units digit of v(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (5 - (4 - -5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -38. Let g = h - 11. Let s = g - 0.005. Round s to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -473935 divided by 6\nAnswer: -473935\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 28. What is l(-13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1113475 is divided by 126?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*12568.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 4*y - 3. Let q be w(6). Let b = q - -22. Let z = -4 + b. Solve -k = -z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrrqfffqffrjrrfrqqf. What is prob of sequence rj?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 263.12 to zero decimal places.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*d - 5 = 133, -w - 3*d = -42. Suppose w*s - 407 = -s. Solve s = 3*v + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y**3 - 5*y**3 + 2*y**3)*(-8*y + 90*y + 51*y) to the form b*y**2 + u*y**3 + h*y + t + v*y**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 5. Is 37 + (0 - (1 + i)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3538944250819 minus 0.3?\nAnswer: -3.6538944250819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10498981*v**3*z - 80703*v**2 - 77*z wrt v.\nAnswer: 62993886*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhjhjhhjhhhhh. Give prob of picking 1 h and 1 j.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 7*b**2 - 2*b + 1. What are the prime factors of r(-5)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4437)\/8568 + (-6)\/(-16).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*m + 0*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 415 = -433 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.2 (c) 284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 416418, 416391, 416336, 416247, 416118, 415943?\nAnswer: 415716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1972, -0.2, 3, -12\/5, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1986.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9755\/63774 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 12695192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.77521ng to grams.\nAnswer: 0.00000000777521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:08 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6138 divided by 4?\nAnswer: -3069\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 823 - 442. List the prime factors of b.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153714677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 840 = -3*j. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4326 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6367 is divided by 424?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004717316 rounded to 4 decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -52, 0 in ascending order.\nAnswer: -52, -11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*t = -150*t + 279*t + 2875. What is the remainder when 167 is divided by t?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3044 + 2576?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2*(5 - -1). Suppose 4*x = 5 + s. What is the tens digit of (-68)\/x*(-6)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -x - 24. Calculate the least common multiple of 20 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36585535, 36585536, 36585537, 36585538?\nAnswer: 36585539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3, 3*w + 1 - 2 = -2*q. Let r(t) = -t**2 - 4*t. Let l be r(-3). Suppose -5*o = -l*j + 15, 3*j = q*j - o - 3. Solve k + j*k - 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let b be 4*d*8\/(-8). Solve b*i - 2 = 2*u, 0 + 2 = -2*u + i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -b601?\nAnswer: -b604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((8\/(-118))\/(-4)). Let g = n - 31. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 0.87, -2, 135, 0.5, 0.1 in descending order.\nAnswer: 135, 0.87, 0.5, 0.1, 2\/23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/8 - 5417*h**2\/8 - 21764*h - 174368.\nAnswer: (h - 5449)*(h + 16)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/4, -1\/9, 26, 2 in decreasing order.\nAnswer: 26, 4, 2, -1\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 28 = -5*i. Let s(a) = -404 - i*a**2 + 404. Let f(h) = 2*h. Determine s(f(d)).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + -1 + (sqrt(75)*2)**2)*6.\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46519139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 32200?\nAnswer: 32223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -13618 less than -13617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36715762 is divided by 215?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5789381l to millilitres.\nAnswer: 578.9381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2681 and 1225.\nAnswer: 469175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 6. Let p = i + 0. Is 2 a factor of (-10)\/4*p\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7345735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + d**2 + 11*d + 30. Give f(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.59 and -400488.089207.\nAnswer: -400488.679207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 1 + 1)*(1 - 1 - 2*w)*(-3*w**2 + 0*w**2 + 2*w**2)*(-w**2 - 2*w**2 + 5*w**2).\nAnswer: 52*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 0. Let l = -0.071 - 0.129. What is the closest to l in t, -0.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 10:59 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r + 5*r + (-2*r + 2*r - 4*r)*(2 - 5 + 2))*(-1 - 1 + 4).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51362 is divided by 598?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**3 - 11*n**2 + 4*n. Let i(s) = -14*s**3 + 22*s**2 - 7*s. Let o(y) = 4*i(y) + 7*v(y). Find the third derivative of o(c) wrt c.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**4 + 3*s**4 + 3*s**2 - 5*s**4 + (7*s**3 - 16*s**3 + 2*s**3)*(s + s + s) as h*s**4 + u*s**3 + v*s**2 + w + t*s and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n - 20. Let o be w(-6). Let z = -10 + o. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.09, 1\/5, 828, 0.0076?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3190 and 67\/114057?\nAnswer: 12546270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -9. Let v = 21.00005 - k. Round v to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**4 + 2*b**4 - 2*b**4 + 0*b**4 - 4*b + 2*b**3 to m + g*b**2 + z*b**4 + o*b**3 + x*b and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.14, -59, -5\/9, 28, -3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-11) + (-4)\/(-22). Let p(h) be the second derivative of -2*h - h**2 + c - 1\/6*h**4 + 2\/3*h**3. Factor p(n).\nAnswer: -2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2980 = -2*o, 0 = -3*o - o + 20. Let z = 489 + m. Which is greater: z or -110?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 294 (b) 0 (c) -4\/5 (d) 8 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, -2, -0.2, 1, -5587?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - sqrt(2))*2*-1 + -3 - ((sqrt(128) + 0)*-4 + 2)**2.\nAnswer: -2055 + 126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(91)*-2 + (sqrt(91) + sqrt(91) + sqrt(91)*2 + sqrt(91))*-6 + sqrt(91))*6)\/(3*(sqrt(112) - 2*sqrt(112)) + (sqrt(112)*2 - sqrt(112))*-2))**2.\nAnswer: 127413\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 88\/198 + (-4)\/9. Solve -2*l - 6 = -4*i, n = -7*l + 3*l + 2*i - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) + 1044\/3915. Find d such that -g + 6\/5*d + 9\/5*d**2 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4995921 is divided by 546.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Suppose 0*d + 2*d - 128 = x. Suppose -2*g + 5*g - 48 = 0. Calculate the highest common factor of g and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 61*v**2 + 17*v + 177. Let n be u(-4). Calculate the highest common factor of n and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4558*c + 387. Let x(s) = -47*s - 4. Let d(l) = -17*l - 166. Let f be d(13). Let h(g) = f*x(g) - 4*y(g). Let z(r) = 4*r. Determine z(h(t)).\nAnswer: -172*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:03 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 0.52. Put 2\/5, -1, s in descending order.\nAnswer: 2\/5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 - 2*g**2 + 2*g + 1. Calculate t(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 9 + 27 = n, -5*n - 45 = -2*d. Let p(v) = 50*v**2 + v + 1. Let i be p(n). Suppose -7*c - i = -11*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p = -9426 + 9382 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 5*u - 4, -2*x - 3*u + 2 = 0. Suppose -x*o + 43 = 1. Suppose 3*h - 19*h**5 + 6*h**4 - o*h**3 + 13*h**5 + 9*h**5 + 6 - 12*h**2 = 0. What is h?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3212595592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*k + 9669 - 3172 - 3279 - 3218.\nAnswer: -115*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 105\/54904?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*m*w**2 + 414*m*w - m - 71060*w**3 + 23*w - 1 wrt w?\nAnswer: 78*m - 426360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**6\/360 - g**5\/120 - 11*g**4\/24 + g**2. Let p(h) be the second derivative of l(h). What is p(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104520, 204909, 301170, 393309, 481332, 565245, 645054?\nAnswer: 720765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4*m - 8, -2*m - 4 = 2*t + 2*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -2. Let n be -3 - c\/((-27)\/(-42)). What is the closest to 0 in 0.4, -5, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a + 12. Let q be (1 + 0)*a*-1. Let o(h) = -h**3 + 18*h**2 + 20*h + 6. Let t be o(19). Solve g - 2*g = 4*k + t, -q*k + 5 = -4*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.212 and -4377?\nAnswer: 927.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuguguuuguuygy. Give prob of sequence ugg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - (-105)\/(-22 - (-4 - 21))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9644734 days in nanoseconds?\nAnswer: 83330501760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*p - i, -2*i - 8 = -4*p - 2. Suppose p = -2*l + r + 14 + 23, 3 = r. What is the lowest common multiple of 2 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6\/5, -2\/663, 54, 1\/9?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -18 + 17 + 0 + 0. Suppose 32 + 10 = -3*a. Let n be s + 7\/(a\/(-12)). Solve -2*r + 11 = y - 0*y, -5 = -n*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f + 31. Let a(j) = 5*j + 31. Let g(n) = 5*a(n) - 4*h(n). Let y(p) = p**2 + 94*p + 996. Let i be y(-82). What are the prime factors of g(i)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 - 4*l**2 - 1. Let t(a) be the third derivative of a**6\/120 + a**5\/60 - 19*a**2. Let g(p) = i(p) + 2*t(p). Calculate g(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -200, 3, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 22, -5, -3\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1446*m + 1416*m - 330 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -371782532, -371782531, -371782530, -371782529?\n\"Answer: y - 371782533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 199 = 77. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 15*y**3 + 8. Let j(r) = -10*r**3 - 5. Let x = -336 - -339. Suppose 0 = -4*u - 2*l + 24, -32 = -x*u + 6*l - 4*l. Determine u*j(a) + 5*m(a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 24. Let p be g(-13). Let i(d) = p*d - 3*d - d - 5. Give i(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/3 + 172*b**2\/3 + 594*b - 2280.\nAnswer: -2*(b - 95)*(b - 3)*(b + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36430.\nAnswer: 2, 5, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y + 86*y - 726082. What is the lowest common multiple of 6 and y?\nAnswer: 44454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145568 is divided by 72779.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13292901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/(-14) + 4\/(-14). Differentiate -320 - n*l + 4*l + 332 - 17*l**2 with respect to l.\nAnswer: -34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.98 and -0.3.\nAnswer: 0.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -181*r**3 - 53*r**2 - 10564. Let l(p) = -121*p**3 - 36*p**2 - 7042. Let h(o) = 5*b(o) - 8*l(o). What is the first derivative of h(x) wrt x?\nAnswer: 189*x**2 + 46*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k + 7. What is b(-8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-42)*10*30\/50?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 231409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/sqrt(3))\/sqrt(2))\/(sqrt(2)*-2*-1).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -405.903846 rounded to zero decimal places?\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/1139?\nAnswer: 2\/1139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 4*i**5\/5 - 15*i**4 - 556*i**3\/3 - 642*i**2 - 792*i + 299. Find d such that v(d) = 0.\nAnswer: -3, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 3*x**2 - x**2 + 3*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14946 divided by -94\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 1:22 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/4)*f**(1\/3)\/f*f**(2\/7)*f**(-8) assuming f is positive.\nAnswer: f**(-641\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 218818 to the power of 1\/2, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -374732.358, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-4))\/1)\/((-41)\/(-82)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 232, 2\/5 in decreasing order.\nAnswer: 232, 2\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (5 - (-2 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 8*o**2 - 87. Let r be b(-9). Calculate the common denominator of -19\/25 and (-9)\/(-165) + r\/(-22).\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 206501880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18097, -18099, -18101, -18103?\n\"Answer: -2*l - 18095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o**2 + 2*o**2 + o**2 - 18*o + 3*o**2. Let s be b(-18). Suppose f + f - 4 = s. Solve 3*d + f*d + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1947782 centuries to decades.\nAnswer: 1.947782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abb. Give prob of sequence ab.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*a = 0, w = -0*a - a + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0384 and 54838.\nAnswer: 2105.7792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 3*v - 1 - 2*v + 1 + (0*v + v + v)*(3 - 4 + 0) + v + 3*v + v - 31*v - 33*v + 12*v - 15*v - 72*v as g + a*v and give a.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3904379\nAnswer: 3\/3904379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4\/9 + 94*p**3\/9 - 392*p**2\/9 - 4744*p\/9 - 800 = 0.\nAnswer: -50, -4, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**6\/6 - 4948*l**5\/5 + 944*l**3\/3 - l**2 - 2*l + 2555. What is the third derivative of x(d) wrt d?\nAnswer: -60*d**2 - 118752*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + c + 2. Let t be w(0). Let m be 1*(-4 + 6 - t). Suppose m = s - 5 - 6. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47213, 94589, 141963, 189335?\nAnswer: 236705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-237)\/395)\/((-21)\/(-15)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 24*z - 1. Let t be (0 - -1)\/(1\/5). Suppose -n + t*q = q - 13, -n + 7 = -2*q. Calculate the remainder when k(n) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -8. Suppose 0 = -3*x + 132 + 63. Suppose -x*i + 63*i = 10. Which is the nearest to -0.3? (a) 1\/11 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 30*r - 11. Let p be (6\/4)\/(57\/532). Let m be c(p). Calculate the greatest common factor of 187 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, e: 4, y: 1, l: 2, o: 1}. What is prob of picking 1 e and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3004, 15, 0, -4 in increasing order.\nAnswer: -4, 0, 15, 3004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 315964 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -21\/2, -11, 1\/7, -0.3, -2, 0.085?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) - sqrt(176)*2 - sqrt(176))*-4 + sqrt(176))\/sqrt(8))\/(-5*sqrt(99) + 3*sqrt(44)\/sqrt(4)).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26230, -52454, -78678, -104902, -131126, -157350?\nAnswer: -183574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-10)*(-5)\/2. Does 3 divide -2*i\/((-12)\/(-33))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 11*h + 11*h)*(-2 + 2 - 3) - 4*h**2 + 3*h**2 + 2*h**2 - 2 - 2*h**2 + 2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222943*f**3 + 445940*f**3 - f**2 - 222961*f**3.\nAnswer: 36*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h. Suppose -122*o + 290 = -64*o. Let b(d) = -3*d - 1. Determine o*j(p) + 6*b(p).\nAnswer: 2*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 19*h + 25 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.742696 and -0.5.\nAnswer: 0.242696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45 - (0\/(1 - 2) + -3). Let q = n - 45. What is the first derivative of 2*b**q + 14*b**3 - b**3 + 6 + 12 wrt b?\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-33)*63\/(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -17*y - 1. Let c be a(2). Let k be c\/(-2) - 1\/(-2). Let s be (-6 - (6 + -8))\/(-2). Solve 5*z + v = -k, s*z - 3*v = -z - 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5953.645 millennia?\nAnswer: 71443740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 861*l + 629*l - 304*l + 4 - 4.\nAnswer: 1186*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 + 45*l + 70*l - 116*l.\nAnswer: -l + 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 293 - 297. Put -1\/5, -1, o in descending order.\nAnswer: -1\/5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2 + q**2 - 1 + 8*q - 10*q + 3*q**2. Is 4 a factor of p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35208423 divided by 317193.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d**2 + 7212*d**2 - 1942*d**2 + 4083*d**2.\nAnswer: 9328*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 19 = -5*t + 9, 3*a - 12 = 0. Suppose -n + 0 = -3. Suppose -2*u = -11 - 9. Solve y = 4*r - u, t*r = -5*y + 1 - n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(125) + 5*(1 + sqrt(125)) + sqrt(125) - (-1 + 0 + sqrt(125))))**2.\nAnswer: 60*sqrt(5) + 4501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 251176423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -104708 and 6.\nAnswer: -104702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192 + -189. Suppose -2*o = n*y - 0*y - 1191, -4*y + 2*o = -1574. List the prime factors of y.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*a = -249*a + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20580.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 21*d**2 - 3 - 58*d - 12 - d**3 - 8 + 2*d**3. What are the prime factors of x(-23)?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109049339*m**4 - 11790*m**2 + 366*m - 1.\nAnswer: -2617184136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2056 = -437*u + 484*u + 646 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057168 is divided by 2978.\nAnswer: 2956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**8*o**(3\/2)*o**(-13)*o**26 assuming o is positive.\nAnswer: o**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2548.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37.3 in -2, 0.34, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*r + 5*r. Let m = 5 - r. Let t be (-10)\/24 + m\/3. Is t at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 11214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + ((-7 - (-7 - -1) - 1) + -3 - -16).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 279 and 472869.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4921349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -887 = -60*q + 673. Calculate the remainder when 251 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9332 smaller than 65315\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -266*t**2 + 4*t + 83. Let r(a) = -523*a**2 + 7*a + 165. Let c(z) = -4*r(z) + 7*y(z). Differentiate c(x) wrt x.\nAnswer: 460*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135*u**2*v**3 - u**2*v**2 + 2*u**2*v + 2*u**2 - 35*u*v**2 + 173*u*v + u wrt v?\nAnswer: 810*u**2*v - 2*u**2 - 70*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 56, 140, 256, 404, 584?\n\"Answer: 16*v**2 + 4*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + -1 + sqrt(98) - sqrt(98)))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**3 + 5*d**2 + 4*d + 3. Let b(m) = m**3 - m**2 - m - 1. Give 4*b(k) + u(k).\nAnswer: k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 41*c + 42. Let v(i) = 48*i + 49. Let g(u) = 7*q(u) - 6*v(u). Let f(t) = 8553*t**2. What is f(g(n))?\nAnswer: 8553*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 10*i + 25. What is c(13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u**2 + 59*u - 398. Let l be r(7). Solve l*o + 15 = 355*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -5*i**4\/2 - 95*i**3\/3 - 125*i**2\/2 - 40*i + 138. Factor m(b).\nAnswer: -5*(b + 1)*(b + 8)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 8*j + 9. Let f be x(6). List the prime factors of (f - -6) + -2 + 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17460059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.171952 times 0.071\nAnswer: -0.012208592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + 3*y + 3. Suppose 3*d = 10 - 1. Let a be f(d). Is (4\/a)\/((-2)\/669) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -25*j. Suppose 8 = -3*b - h, 0 = -b + 2*b - 2*h - 9. Let n be w(b). Solve 2*p = 7*p + n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/2 + 1139*m**4\/2 + 202807*m**3\/2 + 9898197*m**2\/2.\nAnswer: m**2*(m + 103)**2*(m + 933)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + (6*(sqrt(1584)*-3 + sqrt(1584)))**2 + sqrt(1584))*6 - (1 + ((-2*(-1 + sqrt(1584)))**2 - sqrt(1584))).\nAnswer: 252*sqrt(11) + 1362235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-4)\/(-35) + 12\/42.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0. Let u(f) = 5*f**3 + f**2 - 2*f + 1. Let k be u(m). Suppose -12 = -k*j + j. Sort j, -3, 0 in descending order.\nAnswer: j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**4 + 8291711*d**3 + 11*d**2 + 60770794*d.\nAnswer: 24*d**2 + 49750266*d + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 9:35 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -131*o**7\/210 - o**6\/120 + o**5\/2 - 619*o**2. What is the third derivative of m(p) wrt p?\nAnswer: -3144*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -4, 5 in descending order.\nAnswer: 5, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, and 1 d when three letters picked without replacement from {d: 1, b: 1, m: 2, o: 2, g: 1, q: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n**2 + 6*n. Let c(o) be the first derivative of 0*o + 4 - 13\/2*o**2 - 5*o**3. Suppose -24 = 4*z - 0*z. Give z*c(b) - 13*p(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3559.\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -144220 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 65016*h**2 - 130023*h - 65010.\nAnswer: -3*(h + 1)**2*(h + 21670)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13104 - 13060. What is the remainder when 105 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4 - 72*a**3 + 576*a**2 - 1536*a = 0?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1104 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.14337mm to nanometers.\nAnswer: 30143370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 281. Determine d(0).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 405 (b) 46\/9 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1702 divided by 2\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(93 - 82)*(-14)\/(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1409*l + 50998 + 2544 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22528 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*g + 6 = 0, 1213 - 1220 = -3*w - 5*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.044 > -988167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 957032, -3, 1 in increasing order.\nAnswer: -3, 1, 957032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -16*m - 6. Calculate the common denominator of -5\/6 and 246\/80 - m\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 5*x + 5. Let q = 10 - 2. Let y be i(q). Suppose 2*j - 4 = 3*j, y = 5*v + 4*j. What is the remainder when 25 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14398 - -14398.10117. What is f rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 4*g**2 + 5*g - 6. Let j be q(3). Suppose j = -15*b + 18*b - 18. Suppose -m + 0*m = -b. Solve x = -x - m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 45*d**2 + 796*d + 481. Give p(-34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 101\/24 + 5*(-16)\/20. Let p(z) be the third derivative of -2\/3*z**3 + 6*z**2 + d*z**4 + 0 + 0*z. Differentiate p(w) wrt w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512714.1 millennia in years?\nAnswer: 512714100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*u - 5*v, -5*u + 6*v - 9*v = 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -0.3. Let m be (8\/10)\/2*(-2 + -3). Let q be (-90)\/27 - 6\/m. Put y, q, 4 in increasing order.\nAnswer: q, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 + -111. Solve 2*n - s = 5, -2*n + 5 = -c*n - s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4) + -2 + sqrt(52) + 0 + -4)**2.\nAnswer: -36*sqrt(13) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - -0.084?\nAnswer: -26.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6, -2\/30493, -1, -3\/26, 2, 2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(8\/(-15)) - (-4)\/(-8). Let b(f) = 7*f**2 - f - 5. Let i be b(g). Suppose 0 = 5*t + 3*m + m - i, t - 3*m = 70. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from uugugguuuuuuuuuu?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxbcmbbcbnm. What is prob of picking 3 c?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*(f*f**(5\/4)\/f*f)\/f)\/(((f\/f**(-1))\/f)\/f)**(-1\/75) assuming f is positive.\nAnswer: f**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60 + -3?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/548 + -277\/548. Let h = -46.1 - -35.1. Suppose 3*v - g = 2*g + 6, -10 = 3*v + g. Which is the nearest to z? (a) h (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 18 = -0*j. Solve -j*z - 2*x + 11 = 0, -4*z - 4*x + 19 = 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/4)*g)**24\/(g**(-12)*g**4) assuming g is positive.\nAnswer: g**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*g + 26 = 4, 4*s = -2*g + 34. Suppose s*n = -204 - 36. Let o = 42 + n. Solve -o*h = h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 12) in base 14?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9032 (b) 171 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 41811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -72. Let u(g) = -4*g**3 + 39*g**2 - 57*g + 49. Let j(l) = l**3 - 10*l**2 + 14*l - 12. Let i(y) = f*u(y) + 9*j(y). What is i(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 8*u - 5. Let h be 20\/(-75)*-237 + 1\/(-5). Suppose h = -7*y - 2*y. Calculate v(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -535 + 534.7. Which is the fifth smallest value? (a) 61 (b) f (c) 4 (d) 2\/5 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.07 (b) 25 (c) -8\/19 (d) 1.8 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000283123301 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 6 + 5*c**2 - c - 61)*(-11 - c**2 + 11).\nAnswer: -5*c**4 + c**3 + 39*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 90, 76, 52, 18, -26, -80?\n\"Answer: -5*h**2 + h + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 348769006, 348769005, 348769004, 348769003, 348769002, 348769001?\n\"Answer: -n + 348769007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4 + 16.4. Let i = 8 - n. Let k = i - -6.4. What is the nearest to 3 in k, -0.3, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 0*a**3 - 2*a**3 + 2*a**3 - a**3 - 3*a**3 + (4*a - 2*a - 4*a)*(a**2 - 2*a**2 + 3*a**2) + 4*a**3 - 2*a**3 - 3*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 + 1 - 2 + 1 + 0.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 5, -316017 in decreasing order.\nAnswer: 5, 4, 1, -316017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/(-63)*14\/(-6)*1*(-122)\/6.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -30350*i - 2890. Let f be b(-14). What is f rounded to the nearest 1000?\nAnswer: 422000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - d = 0, 0*t + 5*d = 4*t + 2. Let g = 7 - t. Suppose 95 = -0*n + g*n. What is the remainder when n is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*d + 9 = s, -10 = 2*s + 2*d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3346?\nAnswer: 2, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*m - 23 - 8 - 10*m + 5 wrt m?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(5*k - 3*k - 3*k) + (-9 - 2 - 4)*(-90 - 2 + 6)*(-2 + 2*k + 2).\nAnswer: 2581*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 2166?\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 15 + 3 + 4 + 2 - 25195*q.\nAnswer: -25195*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -4*d + 28, -4*n = 4*d - 6*d - 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 v, and 1 i when three letters picked without replacement from vsxcxvixcxxxxx.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 401 - 204000?\nAnswer: -203377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.050947305 rounded to five decimal places?\nAnswer: -0.05095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -66) + 57 - 49?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000409483 to seven decimal places.\nAnswer: 0.0000409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3433573 and 312143.\nAnswer: 3433573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 16*l**2 - 17*l + 5. Let y be j(17). Suppose -7 = -4*d + 1. What is the third derivative of 52*z**d - 69*z**2 - 16*z**y + 0 + 0 wrt z?\nAnswer: -960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -505.349286 plus -906?\nAnswer: -1411.349286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 885816 = -36*b. What is b rounded to the nearest 100?\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5 + 8*s**4 - 20*s**2 + 2*s + 12 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/7 - 8672*m\/7 + 9400448\/7 = 0. Calculate m.\nAnswer: 2168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/64640 and -77\/20956288?\nAnswer: 104781440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 511556 and 107696.\nAnswer: 2046224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -23384494.\nAnswer: -23384496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 111 - 101. Solve 0 = -j*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -m + 2*q, 0 = 3*m - 3*q - 25 - 32. Let y = 27 - m. What is the least common multiple of y and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 28*s + 395. Let r(k) = -39*k - 592. Let a(x) = -5*r(x) - 7*y(x). Let h(j) = -4*j. What is h(a(c))?\nAnswer: 4*c - 780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*m - 23*m - 28*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -509 - -0.2?\nAnswer: -508.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 22*v - 36. Let j be i(-14). Calculate the highest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005000954701 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 - 2*g**4 - 3*g**2 + 6 - 3*g - g - 7 + 30*g to the form n*g**2 + v + i*g + q*g**3 + o*g**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.9 + 0.9. Let d = -6.2 - h. Suppose -12*n + 0*n = 0. What is the nearest to -2\/5 in d, -1, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.8 from 520.\nAnswer: 521.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 6. Let o be j(5). Let t be ((-2)\/6)\/(o\/(-6)). Suppose -2*z = -t*p, p - 4*z = -4*p + 1. Let k(a) = 3*a**3 + a**2 - 2*a + 1. Determine k(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -8\/3*j**4 + 1\/2*j**5 + 0*j**3 + 0*j**2 + 0 - 12*j. What is the third derivative of v(l) wrt l?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwwvovovoovw. Give prob of sequence wv.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 19 = 5*j - 0*j, -2*p = 2*j - 16. Is 116\/j*(-10)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o**3 - 972*o**2 + 162*o + 3196. Let z be r(-139). Let m(g) be the second derivative of 0*g**3 - 1\/2*g**2 + 1\/2*g**4 + 0 - g. What is m(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 - 56*v\/3 - 784\/3.\nAnswer: -(v + 28)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (352\/5280)\/((-6)\/20)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080250?\nAnswer: 2, 5, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t - 45*t - 24 = -65*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(11) - 4*(sqrt(77)\/sqrt(7) + sqrt(11))))**2 - ((sqrt(44) + 5)**2 + sqrt(99) + 1).\nAnswer: -23*sqrt(11) + 13405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/53006 and -65\/9354?\nAnswer: 159018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11063*d - 3689*d - 8*d**2 - 3682*d - 2*d**2 - 3692*d.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10472497*r - 10472497*r - r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 694 + 1280 - 656)*(-25*j**2 - 12*j**2 - 15*j**2).\nAnswer: -52*j**3 + 3640*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/13 + ((-23310)\/(-195))\/(-7)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 103794*f - 115624*f - 57*f**2 + 31*f**2 + 6997445 + 31*f**2.\nAnswer: 5*(f - 1183)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let r(f) = -8*f**2 + 163*f + 17. What is w(r(m))?\nAnswer: -8*m**2 + 163*m + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23006064 (base 7) in base 12?\nAnswer: 806789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3085222611 - 0.5.\nAnswer: 3085222610.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514431.\nAnswer: 3, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 + 14517*i + 29035\/2.\nAnswer: -(i - 29035)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -202*m + 6866. Calculate p(34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9940 and 30625.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22.6 and 639.46?\nAnswer: 616.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*x + 3516 + 13833 + 13467 = 0 for x.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 3 = -3*r - y, -4 = 4*r - 2*y. Let z be r\/2 - (-44)\/8. Let x be 1*1\/(-1)*-2. Calculate the highest common factor of x and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3968 and 534843.\nAnswer: 68459904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2140*u = 2137*u - 4*f - 69, -48 = 3*u + 3*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 e, and 1 w when three letters picked without replacement from {d: 1, l: 3, w: 3, y: 2, e: 4}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 16*m - 90. Let z be c(5). Suppose 0 = 4*v - 12, d - v - 2*v = -5. Suppose 0*u + 54 = -d*f - 2*u, f + 6 = u. Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by -1077?\nAnswer: -77\/1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 36085*y - 396933. Determine r(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1f3 (base 16) to base 6\nAnswer: -2151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 3. Let y = 0 - -3. Let p be j(y). Solve -5*q = -2*n - 0*q - 1, -3*q + p = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2441135 to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**3 - 33200*n**2 - 99645*n = 0. Calculate n.\nAnswer: -3, 0, 6643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -489 divided by 8\nAnswer: -489\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6\/31 (b) 1 (c) 3 (d) 1.7334\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 - 5*k + 27. Let p(a) = a**2 - a + 8. Let r(v) = -6*i(v) + 17*p(v). Determine r(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 17150*r + 17146*r - 6.\nAnswer: -4*r - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - 195b?\nAnswer: -1949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*n - x - 44, -x - 31 = 2*n. Let b be (n\/2)\/(20\/(-8) - -2). Let g = 118 + -53. Calculate the greatest common factor of g and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -2*m**5\/35 + 6*m**4\/7 + 4*m**3\/3 - 12*m**2\/7 - 26*m\/7 + 1840. Determine d so that u(d) = 0.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 24*p + 26. Suppose -34 - 74 = -4*o. What are the prime factors of q(o)?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -70856*q + 2054810. Give k(29).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 8995 = 9004 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74\/11 or 0.10943?\nAnswer: 0.10943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = 3*l - 278. Suppose 4*g = 2*c - 1354, 3*g + 4*c + 998 = 2*c. Let d = l - g. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -20. Suppose -2 = -l*p - 5*z, 0 = -6*p + 2*p + 5*z + 26. Solve 5*j + 27 = y, y = p*j - 0*y + 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*j - 4*z, -2*j = -4*z - 0*z - 28. What are the prime factors of (-709)\/(-9) + j\/18?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:35 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 112 - 128 = 0. Suppose 0*j - 2 = -2*j. Let o be j\/k - (-950)\/8. What is the greatest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 - 28*n + 73922. What is the hundreds digit of k(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -4 (b) 6 (c) 5\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2814 and 49.\nAnswer: 19698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -260, 575, 2818, 7165, 14312?\n\"Answer: 116*b**3 + 8*b**2 - b - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*v - 46 = -167*v + 5*p, 5*v = -5*p - 40 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.251773?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*3\/(-27) - (-128)\/12. Suppose -k = -k - x*k. Which is the closest to k? (a) 2 (b) -3\/4 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.066138339 - 5.858.\nAnswer: -5.791861661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t + 10 - 76 = 0. Let q be (4\/(-7))\/(4\/(-14)). Suppose q*b = -0*n - 3*n + 18, -2*n + 44 = 4*b. What is the greatest common factor of b and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274716 is divided by 1121?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.353 + -0.353. Which is the smallest value? (a) -18\/13 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5970046 micrometers to meters.\nAnswer: 0.0000005970046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80*o**2 + 72899*o + 24866936 wrt o?\nAnswer: -160*o + 72899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-21) - 4205\/609?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06460013 rounded to five dps?\nAnswer: -0.0646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1211.1, -0.04, 7 in descending order.\nAnswer: 7, -0.04, -1211.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -203.5\nAnswer: -200.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 - (-4 + 21 - 29).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 675?\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 11*m**7\/42 + m**4\/3 - 16*m. What is the third derivative of b(u) wrt u?\nAnswer: 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 11. Let t be d(-10). Let i be -2*t\/((-4)\/(-6)). Factor -10*p**3 - 3*p - p + 8*p**i - 6*p**2.\nAnswer: -2*p*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a - 3*h + 2, -3*a + 3*h = -24. Which is greater: a or 69\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166 - -99. Let n = -64 - j. Suppose 4*g + 11 = c, c = n*c + 3*g. Solve -3*v - 7 = -d - 4*d, 2*v + c*d = 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*k - 1140 = 0, 5*z + k = 933 - 3777. Suppose -4*d + 934 = -2582. Let i = d + z. Round i to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 12*l**2 + 9*l - 12. Let i be q(-15). Suppose -13*g = -i - 1542. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*t + 228 - 180 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -183 - -409. What is the hundreds digit of 0\/(-1) + (g - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -222581, 6 in increasing order.\nAnswer: -222581, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, -12, -3\/62?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9000, -8996, -8992?\n\"Answer: 4*r - 9004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2990.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3\/8, 5, -0.26 in descending order.\nAnswer: 5, -0.1, -0.26, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -398025 - -670144. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1504 divided by 8\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 n when four letters picked without replacement from {d: 6, n: 3, h: 4}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(4050)*-4)**2.\nAnswer: 583200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/2102448 and 89\/66.\nAnswer: 23126928","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 470 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a. Let l(u) = -6*u**2 + u**2 + 4*u**2 + 0*u**2. Determine y(l(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3*p**3 + 5*p**3 + 456*p - 455*p in the form n*p + h + g*p**2 + x*p**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2*u + 270. Let f = 59 + u. What is the closest to 1\/4 in f, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liakssk. Give prob of picking 1 a, 2 s, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248232 is divided by 1459?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = 18. Let b(z) = 13*z - 996. Let s be b(78). What is the highest common factor of s and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-39)\/13)\/6)\/((15 + -18)\/(-354)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 407, 860, 1619, 2690, 4079, 5792, 7835, 10214?\n\"Answer: n**3 + 147*n**2 + 5*n + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -1. Let l be 10*(4 + 44\/a + 1). Let m(d) = 2*d**2 - 8*d - 17. What is the remainder when m(l) is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.5, -0.4 in increasing order.\nAnswer: -0.5, -0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89.3 + -89.6. Which is the second smallest value? (a) q (b) 3\/4 (c) -52 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1689*j + 18632 = -6456*j + 445*j - 381768 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.097 * 40265\nAnswer: 3905.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90.4 + -14.4. Let w = f + -75.926. Round w to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 2*i + 3. Let w be g(3). Suppose 0 = z - w*z + 315. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(490)*-3)\/sqrt(10))\/(sqrt(567)*3 + sqrt(7)).\nAnswer: -3*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.62 and -0.52764.\nAnswer: 3.4929768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*q - 29*n + 26*n, 3*q + 6*q = -0*q - 3*n + 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*j - 399*j - 5*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20579 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcitjicjccjccjcji. What is prob of picking 1 t and 1 c?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 10 = 37. Let d be 1 + 16 - (f + -13). Suppose 6 - d = -3*t. Solve -t*l + 0*l + 10 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1141*o**2 + 3 + 1110*o**2)*(50*o**2 + 126*o**2 - 32*o**2).\nAnswer: -4464*o**4 - 144*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2737 + 4364 = 160*g - 739 for g.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*r - 72 = 63*r. Is 5 a factor of ((-42)\/(-8))\/(-7) - 234\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79114 and 49784?\nAnswer: 281329384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 56311 = -5*x, 2*b + x = b + 18767. Suppose 20*o - b = 14*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3764814210477 + 0.6.\nAnswer: 3764814210477.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.73559133 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 2\/9 (b) -0.39 (c) -1\/4 (d) 2 (e) 1\/18 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 1. Let c(g) = -347*g**2 + 5*g - 5. Let v(n) = c(n) + 5*p(n). Let u(t) = 109*t - 271*t + 160*t. Determine v(u(o)).\nAnswer: -1388*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -56. Which is the third smallest value? (a) -0.2 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l*l\/(((l*l**1*l)\/l)\/l)*l))**(-8\/5)*(l**0)**(-5\/12) assuming l is positive.\nAnswer: l**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 + 865*i + 35432. Give t(-47).\nAnswer: 1404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 16, 6, 0, 0.1 in decreasing order.\nAnswer: 16, 6, 0.1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 246987.5743 to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - w - 23 = -24, -q + 3*w - 3 = 0. Solve -2 - 3 = 5*z - 3*t, q = 5*z + t + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1029*f - 1. Let a(t) = -2*t. Calculate a(h(v)).\nAnswer: 2058*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13894 - -13922. Solve 0 = 5*b + 5*f - 73 + c, 0 = 5*b - 4*f - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j + 45 - 80 = 25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 9*i - 7*i - z, i - 178 = 4*z. What is the remainder when 11746 is divided by i?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(134136\/69))\/(3\/(12\/1)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(2*l - 57 + 36 + 53).\nAnswer: -2*l - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485606 is divided by 46425?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: -36 (base 14) to base 4\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/6 + (-2)\/(-3). What is the smallest common multiple of 10 and (-22)\/(-3) + (-4)\/u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 14. Let b be h(-12). Suppose b*k = 7*k - 60. Suppose 0 = 4*u - y - 32, -2*u + 4*y - k = -6*u. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490878514.\nAnswer: 2, 7, 541, 64811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2.95. Let a = 0.05 + q. What is the third biggest value in -5, a, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -169, -1918, -4833, -8914, -14161, -20574?\n\"Answer: -583*b**2 + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138 - -231. Suppose b*q - 82 = 92*q. Let u = q - 77. Let y(p) = p**2 - 4*p - 6. Determine y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2215 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 775977.4 millilitres?\nAnswer: 775.9774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9*a + 253. Let p(w) = -35*w + 1029. Give -15*g(l) + 4*p(l).\nAnswer: -5*l + 321","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*l = -2184. Calculate the greatest common divisor of l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5779?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 108610 and -0.44.\nAnswer: -47788.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. What is the third derivative of -3*v**2 - 2*v**w + 0*v**2 + 7*v**2 - 3*v**2 wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8246201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 979964, 9, 0.5, 1\/4, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 22*v - 3*b + 11 = 0, 3*b = 5*v - 34. Let x(w) = -w**3 + 5*w**2 + w + 3. What is the smallest common multiple of x(5) and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 34\/8 + 180\/(-45).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 - (19 + -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -4 + 30\/2. Let b be 4\/(-3)*d\/(-8). Let r = -276 - -278. Solve -b*f + 4 - r = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfnfxux. What is prob of sequence dx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-160)\/(-6) - (-4)\/(-6). Let j = b - 20. Suppose 3*x = j*x. Solve x = 4*v - 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**2*v**2 - 12024177*c**2 - 8*c*v**2 - c*v + 3311*c - 4*v**2 + v + 9 wrt c?\nAnswer: 6*v**2 - 24048354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -77725987 (b) -2\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*p - 6726 = 434*p - 503*p for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2 + 1. Let l be (j\/5)\/((-1)\/5). Solve -2 = l*h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143955\/17 - -8455. Which is smaller: g or -12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23006007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000825 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0357 + 58.9643. Let u = 64 - q. Let r = -8 - -5. What is the smallest value in u, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.377 + 19.847. Let b = j - 0.47. What is the second biggest value in -0.5, -1, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**7\/2520 - z**4\/4 - 2*z. Let c(g) be the third derivative of y(g). Let n(p) = p + 4*p - 3*p. Determine c(n(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 1 + 1 + 109*l**3 - 8*l**2 + 211*l**3 - 400*l**3 + 160*l**3 to i*l**3 + b*l**2 + j + d*l and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3780)\/300)\/((-56)\/80)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*a + 61 = 0. Suppose -48 = -27*x + 21*x. What is the remainder when a is divided by 12 - -1 - 32\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/12)\/((-3)\/(60\/(-2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 129*d**3 + d - 7*d - 2*d - 159*d**3.\nAnswer: -30*d**3 - 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*n + 76 = 178 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2. Let o(x) be the first derivative of 2*x**3 - 413*x - 848. Give k(o(m)).\nAnswer: 36*m**4 - 4956*m**2 + 170569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 - 3 = 0. Suppose -q*j = 63 - 18. Let w(b) = b**3 + 16*b**2 + 14*b + 8. Is w(j) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18496, 36997, 55500, 74005, 92512, 111021?\n\"Answer: w**2 + 18498*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 + -5 - -16) + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4.24 (b) 2\/29 (c) -3\/4 (d) 3 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 14. Let f be k(-7). Let o(j) = -j**2 + j + 3. Give o(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3550852757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 13 = -c, 3 = 3*c - 2*o - 6. Suppose -f - 2*f = 0. Is f at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 0)*14\/77. What is the closest to 2 in -1\/6, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4 + 10\/(-12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2629 or -2628?\nAnswer: -2628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 4*w**4 - 2*w**4)*(120*w - 2171 + 2171).\nAnswer: 120*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - z - 3 - 7 = 0, -5*b + 4*z = -12. What are the prime factors of 6 - b - 3 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l + 4. Let d be (-1 - (l - 3))\/(-1). Let t = d - -1. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**4)**10\/(t**(2\/13)*t**(2\/13)))**(-2\/45) assuming t is positive.\nAnswer: t**(176\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86032 - 86024. Let s(w) = -w**2 + w - 1. Let n = -2 - -1. Let b(l) = -7*l**2 + 16*l - 11. Let u(k) = n*b(k) + 6*s(k). What is u(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 5 - 1) + 16 + -12 + 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2093*q**3 + 972*q**2 + 1455115*q wrt q.\nAnswer: -12558*q + 1944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**7\/350 + 39*y**6\/200 - 81*y**5\/100 + 41*y**4\/40 + 4*y**2 + 27*y. Factor m(z).\nAnswer: 3*z*(z - 1)**2*(z + 41)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 86272?\nAnswer: 86272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(-1*819\/26)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**5 - 7698*y**3 + 851*y + 5.\nAnswer: -20*y**3 - 46188*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - 81*l - 264. Determine v(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**3 - q**2. Let r be j(1). Suppose -5*g + 12 - 2 = 0. Solve -g*t + r*v + 6 = -2*v, 4*t - 5 = v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011779 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 26 - 2) + (-4 - (20 - 18))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 12*r + 585 = -7*t, -221*t + 190 = -223*t - 4*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 2. Let d = 10 - 4. Let s be a(d). Let t(h) = -3*h - s*h**2 + 3*h. Let l(u) = -3*u**2. What is l(t(b))?\nAnswer: -48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 10*h + 11. Suppose 10*i - 13*i = 2*g - 209, -g = -3*i + 215. Let b be 4\/(-28) - i\/(-7). Determine l(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 12. Is -3 - n - (-169)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-1)\/1) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 80*m**5 - 440*m**4 - 2035*m**3 + 3655*m**2 - 1420*m + 160 = 0.\nAnswer: -4, 1\/4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 12) to base 15\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33000 + -33000.3. Let d = 1.9 - 2. Put -21, s, d in descending order.\nAnswer: d, s, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -4\/7 (c) -27\/11 (d) -6 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*k + 28250884 = -55677431. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460134 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 19*n - 2. Let v(b) = 2*b**2 - 39*b - 4. What is 7*k(q) - 4*v(q)?\nAnswer: -q**2 + 23*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1356\/(-38) + (-44 - (-107900)\/2470)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -271 >= -271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -285, -285, -287, -297, -321, -365?\n\"Answer: -m**3 + 5*m**2 - 8*m - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**3 - 19*h**2 - 2*h + 21. Let b(v) = 11*v**3 - 29*v**2 - 3*v + 32. Let f(u) = -5*b(u) + 8*t(u). Determine f(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 - -554. Does 11 divide 1\/(-1) - -6 - -1*q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x - 2*x + 6*x)*(-x + 0*x - 2*x) + (-5*x + x + 2*x)*(45*x + 178 - 178)*(1 - 4 + 5) + (5 - 1 + 4)*(x**2 - x + x) as z*x**2 + l + a*x and give z.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**3 + 496*s**2 + 4*s**3 - 483*s**2 + 2. Let t be o(-13). Find the third derivative of 44*u**3 - 8*u**3 - 6237*u**t + 6236*u**2 wrt u.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 94664976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -2, 4\/5, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 71*m + 1. Let x be l(-7). Let k = 831 + x. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 9869988.\nAnswer: 108569868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258841*w - 28 = 258843*w - 5*v, 5*w + 103 = -4*v for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22631 and 6258.\nAnswer: 20232114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -8c165c?\nAnswer: -8c1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 154. Let p = j + -96.9. Let y = -12 + p. Round y to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + y**2 + y - 17. Give f(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1266 divided by -6?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000061966 rounded to seven dps?\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3831 - 3830. Let g be (1 + 0)*(0 + 1). Calculate the highest common divisor of v and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/6, -0.5, 1, -0.11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-572)\/208)\/((-275)\/3900) - (0 + 11\/1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 24*f**5 - 50*f + 69. Differentiate h(i) wrt i.\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 11:05 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 55*4\/20 - 16\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - (-3 - 14 - -1 - -13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**5\/20 - h**4\/3 + h**3\/2 - 3*h**2 - h. Let g be x(-5). Let b be (-4)\/6 + (-16)\/(-6). Solve -b*r = 6 + g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-12 - (2 + -14) - (0 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5*a + 10840. Let j = a + -245. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - s = -5*k - 149, 747 = -5*k + 3*s. Let f be (150\/3)\/((-3)\/k). Round f to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/5850 and (-6)\/63*9*642\/648?\nAnswer: 40950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**5\/20 - h**4\/6 - 2*h**3\/3 - 4*h**2 + h - 1. Let c be (-7)\/(-1) + (0 - 0). Is w(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/47 in 1, 3\/2, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 433, 665, 917, 1195, 1505, 1853, 2245?\nAnswer: 2687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1341974007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - -51.06. Let f = -46.4 + v. What is f rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9175 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/((-833)\/(-14)) - (-82)\/238. Sort r, -1, 4, -0.5 in ascending order.\nAnswer: -1, -0.5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(6\/(-5) + 1). Let t = 1.77 - 1.47. Let z = -2.1 - -2. Which is the second smallest value? (a) t (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 32. Let f(h) be the second derivative of -4*h**4\/3 + 161*h**2\/2 - 1198*h - 1. Determine 2*f(y) + 11*t(y).\nAnswer: y**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -307.925 - -308. Which is the second biggest value? (a) -0.4 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 g when four letters picked without replacement from nggngnnnggnnnggggngn.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14187 = 1134*c + 9627 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**2 - 5*d + 2. Let b(r) = -15*r**2 - 9*r + 4. Let u(n) = -6*b(n) + 13*v(n). What is the units digit of u(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44) - sqrt(440)\/(sqrt(10) + (sqrt(10) - sqrt(60)\/sqrt(6)))) + sqrt(44))\/(1*sqrt(256) - sqrt(4)))**2.\nAnswer: 11\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 smaller than 1390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((26910\/(-26))\/23)\/((-20)\/(-16))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*j**4 + 14*j**3 - 14*j**3 + 3*j**2 - 3*j**2 + j**4 + 4*j**4 - 6*j**4 + 0*j**4 + (-4*j**3 + 0*j**3 + 3*j**3)*(j - 1 + 1) - 4*j**2 + 4*j**2 - 5*j**4.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 121.77 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -3324 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + 9)*(2 - 1). Let q = i - 11. Suppose 5*d - 3*l - 74 + 68 = 0, 3*l + 6 = -2*d. Put d, 3, q in ascending order.\nAnswer: d, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 535 and 21495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 36. Let t be (-99)\/18*(1 - 5). Let w = t - 25. Sort -1, z, w in ascending order.\nAnswer: w, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 9*v = 0. Suppose 0 = 4*l - v*l + 36. Let i = 17 + l. Calculate the least common multiple of 4 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3*4\/(-392874)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25596 by 4.\nAnswer: -6399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1650\/(-390)*(-55)\/((-11495)\/(-114))?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52 or 4.976?\nAnswer: 4.976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 3\/15543263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 4)*(0*u - u + 0*u)*(u - u + 3*u**2).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:07 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0026 * 786189.\nAnswer: -2044.0914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = -z - j, -2*z - 3*z + 5*j - 695 = 0. Let i = 234 + z. Suppose -4*a + i = -114. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 4. Let t(w) = w + 1. Let a(b) = 3*t(b) + z(b). Let i(u) = -12*u**2 + 2*u + 2. Give -2*a(r) - i(r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140213 is divided by 85?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*k. Suppose -3*i - 4*z + 530 = k, 0*i - z = -i + 165. Let l = i + -91. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1802*f - 105. Is v(-38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 8*i + 4. Give x(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s + 76. Let x be u(12). Suppose 14*g - 12*g - x = 0. Sort -1, g, 25.\nAnswer: -1, g, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 4, 0, -6, -14, -24?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 218, 565, 1082, 1763, 2602, 3593, 4730, 6007?\n\"Answer: -n**3 + 91*n**2 + 81*n + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-306))\/(4\/6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, a: 3}. What is prob of picking 2 a and 2 q?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - 284. Calculate the remainder when 103 is divided by (-1)\/(s\/(-78) + -4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (5 + -2 - -12) - 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -600 divided by -200.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 916 = 1359. Let b be 14\/u + 226\/300. Determine q, given that -9\/2*q - 5\/3 - b*q**2 = 0.\nAnswer: -5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -968601.9 rounded to the nearest one thousand?\nAnswer: -969000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(42) - (1*sqrt(168) - sqrt(42)))\/(5*sqrt(54)) + (3*(sqrt(343) + -1) - (-4 + (sqrt(343) + 0 - sqrt(343))))*-1)**2.\nAnswer: -84*sqrt(7) + 3091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*m**2 - 88533435*g**3*m - 3*g**2*m**2 + 9499767*g**2*m + g*m wrt g?\nAnswer: -6*m**2 - 531200610*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3597 is divided by 3491.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-36)\/15)*-4. Sort k, 0, 4 in ascending order.\nAnswer: k, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -220824.2 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r + 3*r**2)*(-1 + 1 + r) + r**3 + r - r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12282*o**3 - 6*o - 2088 + 4334*o**3 + 4126*o**3 + 4112*o**3 wrt o?\nAnswer: 870*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 14*n + 106. Give d(-10).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 17. Suppose -t - g = -5*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1256 divided by -24.\nAnswer: 157\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6 - (-13)\/(91\/84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/7*s**3 + 41\/7*s - 20\/7 - 22\/7*s**2 = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 9*n**2 + 3. Calculate the least common multiple of k(-9) and (-3)\/(-7) + (134\/14 - -3).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**3 + 2*x**2 - 1. Let b = 34 + -34. Suppose 0 = 3*m - 4*n + 1, -2 = -b*m - m - n. Calculate y(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(25\/2) - 136\/(-40). Suppose -s*z + 6*z = -3*l + 3, 0 = z - 3. Which is the nearest to -2? (a) l (b) -9.9 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5) - (-70)\/525?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 29*(11\/6 + (-34)\/17)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 30. Suppose -2*w - 33 - 25 = -4*c, -5*w - 73 = -4*c. What is the remainder when u is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 11:28 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 3)*(144 - 76 - 98)*(1 - 8*b - 7*b - 2) as l*b + y and give y.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -60510.8 and 0.4.\nAnswer: -60510.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7695 and 285.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 52*l**2 - 363*l + 224. What is d(6)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + o. Let r(i) = -2*i**3 - 6*i - 22250 + 22250 + 6*i**2. Suppose -22*s + 19*s = 3. Determine s*r(d) - 6*p(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 19068*a - 10125085. What is p(531)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + 24 = 0. Let d = -58088 - -58104. What is the greatest common factor of d and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 - 0.37. Let b = 3 + -2. Let n = -58.1 - -57.7. What is the closest to b in w, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9754570.\nAnswer: 2, 5, 7, 331, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 134\/(-469) + (8 - 5316\/700)\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 98\/539*(-55)\/(-135)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3682 in 4, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**3 - 4*r**2 + 3*r + 4. Let u(i) = -13*i**3 - 9*i**2 + 7*i + 9. Suppose 3*k = -y - 18, 4*y + 0*k = -k - 39. Determine y*b(d) + 4*u(d).\nAnswer: 2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(18*s + 1 + 10*s - 54*s) as w + t*s and give t.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 14.4 (c) 44551\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - t - 22, -f - 3*t - 36 = -5*f + 10*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from ffffkkkftkf.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k + 5*k + 343*k = -226*k - 20943 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -79*w - 781. Let b be j(-10). Put 2, 147, -4, b in descending order.\nAnswer: 147, b, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k = 39*k + 7218. Suppose 3*u = -3*x + x + 1837, k = 2*u - 3*x. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/((q**0\/q)\/q*q)))\/q)\/(q*q**(-1\/2)*q))**(-1\/6) assuming q is positive.\nAnswer: q**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/355 and 77\/202935.\nAnswer: 14408385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752587371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3. Suppose g = -4*d - 0 - 4. Find the common denominator of -17\/9 and ((-66)\/32)\/d*-4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*i - 15*g = -20*g + 126 + 134, -3 = -2*i + 4*g - 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5497, -12028, -18559, -25090, -31621, -38152?\n\"Answer: -6531*a + 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28313585 is divided by 28313579.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4 - (79 + -79)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 744 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 40 + 538*d - 44 - 543*d.\nAnswer: -5*d + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 5. Let y be z(6). Let k be 39\/6 - y\/2. Suppose k = 5*b - 4*b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 148 and 221268.\nAnswer: 8186916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(6\/7)*l)**(-36)*l**(-3\/26)\/(l*l*l**(2\/41)) assuming l is positive.\nAnswer: l**(-515037\/7462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3004464 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*u**3 + 54*u**3 - 14*u**3 + 60*u**3 - 162*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15a3 + 47?\nAnswer: 160a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 735.89999853 + -735.9. Round b to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/4 (b) 1\/6 (c) -5 (d) -0.239\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 98 + 63 = 0. Let n(t) = t**3 + 10*t**2 + 6*t + 4. Let d be n(-4). Suppose -4*x - 4*c = -d, x - 2*c - h = 8. 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 nearest to -1\/3 in -1\/4, -6, 696?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h + 52 = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31196?\nAnswer: 2, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7074 - 42293\/6. What is the common denominator of u and 3 + ((-4356)\/80)\/9?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 40.55. Let n = -3.5946 - c. Round n to 3 decimal places.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(931) + sqrt(931)*1)**2 + sqrt(19) + (sqrt(152) + (-2*sqrt(152) - sqrt(152) - sqrt(152)) + sqrt(152))\/sqrt(8) + sqrt(19)).\nAnswer: -11172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 18 (b) -4 (c) 4\/85 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1 (b) -6 (c) 34\/9 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c**2 + 3*c**2 - 3*c**2)*(-c**2 - 2*c**3 + c**2 + 2*c**2).\nAnswer: -20*c**5 + 20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3686, -7370, -11054, -14738?\n\"Answer: -3684*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-540)\/(-108) - (-7099)\/916*-4*(1 + 2).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7366973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9582 + -2842. Suppose -5*d + q = 4*o, -d = -2*o - 863 + 4247. List the prime factors of o.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 3:38 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 250 = 69*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 9 = 1785435*q - 1785438*q, 2*c - 71 = -9*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667260?\nAnswer: 2, 5, 7, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -220?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3 - 1614*m**2 - 167451*m - 4826580 = 0 for m.\nAnswer: -412, -71, -55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 0 + -1 + -71 + 66.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 25, -4973 in descending order.\nAnswer: 25, 3, -4973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 42 = 3*u, 3*b = -0*u + u + 86. Suppose l + 15 + 5 = -3*z, 2*l + b = -4*z. Let x(j) = j**3 + 6*j**2 - j + 2. Is x(l) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55\/6 - 49\/3. What is the common denominator of -27\/16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 20*k - 9. What is the remainder when 51 is divided by g(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - s = g - 190, 2*s + 4 = 0. Let v = g - -302. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7*(5 - (-120)\/(-18)). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*q + q. Let n = 104 - 103.8. What is the nearest to 0.1 in q, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m. Is 10620\/18 - (m - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-44 + 46)*(-2)\/20. Which is the smallest value? (a) -4 (b) i (c) 47 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4\/3))\/u**(12\/11)*(u\/(u\/((u\/(u\/(u\/u**(-36))))\/u)))**(2\/93) assuming u is positive.\nAnswer: u**(-665\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 625023 to the power of 1\/2, to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169375437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 14 = 3*p, 3 - 23 = -5*p. Let j(u) = -7*u**2 + 5*u**2 + u**v. Let x(f) = -7*f. Give x(j(h)).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 + h. Let w be f(-1). Suppose n = 2*n. Let v = -175 - -176. Sort v, n, w in descending order.\nAnswer: v, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**5\/20 + 5*a**4\/12 - a**3\/6 + 3*a**2 + 2*a + 30. Let i be g(3). What is the greatest common divisor of 294 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 - -84.944. Let v = j + 0.056. Which is the nearest to -1\/3? (a) -1 (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (1123470\/(-8) + (10\/(-8) - 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 + 282426*m\/7 + 282424\/7.\nAnswer: 2*(m + 1)*(m + 141212)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 87. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*48\/(-9)*48\/(-96).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -70, 17, -2, -0.1 in descending order.\nAnswer: 17, 0.11, -0.1, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -139*l + 144*l = 30 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19 + -1)*50\/(-200). What is the units digit of 7 + -7 + (k - -602)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 6. Let g be s(-6). Suppose 0 = a - g*a + 1. Let n be 5\/3 + (-2 - a). Which is bigger: -4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 - 258 + 118 + 19*z + 156 to the form o*z**4 + r + t*z**2 + b*z**3 + k*z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14 = -3*p + 23, 3*t - 39 = -3*p. Let v be 0*2\/4*-1. Suppose -f = 4*o - 239, -4*o + f + 66 + 175 = v. What is the highest common factor of o and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164*a + 90*a + 82*a - 1 to the form y*a + d and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.27965 - -0.03135. Which is smaller: 0.1 or x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -39*f. Let l be ((-7 + 5)\/(-2))\/(-1). Let c be (-2 - 3) + l + 1 - -6. Calculate w(c).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 15*r + 2 + 19*r - 33*r. Let z be w(-2). Solve -3*c = 2*h + 10, 0*c = -z*c - 4*h - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-70)\/(-42))\/((-1)\/(-3)). Suppose n*p - 11 = 2*g, 5*p = -0*p - 5*g - 10. Is ((-13374)\/30)\/(p\/(-5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/229 - -217\/2748. Let t = l - -2\/3. What is the third smallest value in -6, t, -0.06?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202221792*s**3 + 2*s + 197727802 wrt s?\nAnswer: -1213330752*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m - 225. Let u(z) = m + 0*z**2 - 3*z**2 - 76 + 2*z**2 + 4*z. Suppose -i + 3 = -0*i. Determine u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4391541, -8783082, -13174623, -17566164, -21957705, -26349246?\n\"Answer: -4391541*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20455.\nAnswer: 5, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -932*a**3 + 639*a**3 + 296*a**3 + 317*a**3.\nAnswer: 320*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 248 = -4*r + 1055, -r + 4*d = -188. What is the greatest common divisor of r and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + 2 - (9 + -14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + -120 - (-2 - 22)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.15. Let g = -3.95 + i. Let m = -4.17 - g. What is m rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -16)*(2 + 9\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86812644.\nAnswer: 2, 3, 7234387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*m - 15*m + 19*m - 73*m to b*m + x and give b.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57738824*t**3 + 8763575 wrt t.\nAnswer: 173216472*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 = -5*l - m, 0 = -m - 5. Let f(o) = 6 + 11*o**2 - 7*o**l - 3*o + 3*o**3 + o**3 - 5*o**3. Suppose -3*i = -3 - 9. Determine f(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3, -0.04128, -6 in decreasing order.\nAnswer: -0.04128, -0.2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 12:01 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjtjstwtccjtcccc. What is prob of sequence jcc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -1004.\nAnswer: -13\/1004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*v = -33, 2*v = -a - 3*v + 5. Let q = a - -7. Round q to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39123695.\nAnswer: 5, 13, 601903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -633 = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32561992 and 723.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 193820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729 is divided by 240.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 9, 18, 27, 36?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*y - 4*j, 4*y - y - 4*j = -16. Suppose -2*q = 4*z - 4, y*q = -4*q + 3*z + 30. Let f be 2\/(-4) - 1\/(-2). Solve f = r - q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 31?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**3 + 2196943*v - 14318841.\nAnswer: 6*v**2 + 2196943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5127 divided by 3\nAnswer: -1709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29290541.\nAnswer: 7, 17, 47, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 28*q + 2. Let t be w(1). Calculate the greatest common divisor of 210 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 39.034. Round k to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 29. Suppose 5*t = f + 11. Which is the third biggest value? (a) 2\/9 (b) 2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4bce (base 16) to base 12.\nAnswer: -b292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, q: 2, y: 2, f: 4}. What is prob of picking 2 i, 1 f, and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4483?\nAnswer: 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -11. Solve 3*b = -3*v + 24, 0 = 4*v - b + d*b - 29 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*b + 14738 - 5282 = 0 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -3.4, 0.04, -3\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.8625ns in microseconds?\nAnswer: 0.1838625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65 in -7, 833, -2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -56.48, 2\/7, 5, 0.1, 4, 7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*d*d**(2\/63)*d)\/d)**(-4\/3))**(-2\/27))**5 assuming d is positive.\nAnswer: d**(7640\/5103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 4*h - 6. List the prime factors of s(-6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccn when three letters picked without replacement from {c: 11, n: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(-70204)\/(20\/20).\nAnswer: 2, 17551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.3999738 + -21.4. What is g rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)*((j*j\/((j\/j**2)\/j)*j*j)\/j*j)\/j*((j**(6\/7)*j)\/j)\/(j**(1\/11)*j*j*j))**(5\/6) assuming j is positive.\nAnswer: j**(-430\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/11 + 372*f**3\/11 - 6030*f**2\/11.\nAnswer: 2*f**2*(f - 15)*(f + 201)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.80013 - -5.8. What is f rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3. Suppose -5*s = -3*n - 2 - 2, -2 = n - 2*s. Put j, n, -1, -4 in increasing order.\nAnswer: -4, -1, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 256 + -303. What is the smallest value in 2\/3, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Let x(m) = 13*m + 3. Let o be x(a). Suppose -13 = 5*l + 5*u - 43, -4*u - o = -2*l. Solve 3*g = 3*n + 4*g - 8, -4*n - g + l = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 7:40 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/20 - 2*d**2. Let z(v) = 4*v - 5*v + 8*v - 4*v. Give z(l(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 6*t**2 + 76*t - 313. Give l(10).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -13811.\nAnswer: -36\/13811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 (base 16) in base 3?\nAnswer: 12102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i. Let v be (-4)\/(-8) - 1\/(-2). Let y = v - -4. Let j(t) = 22*t**2 - 16*t. Let f(c) = 7*c**2 - 5*c. Let l(z) = y*j(z) - 16*f(z). What is l(u(s))?\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242*q**4\/5 - 10318*q**3\/5 - 25402*q**2\/5 - 3042*q.\nAnswer: 2*q*(q - 45)*(11*q + 13)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75047*i + 391 = 75030*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(-30))\/(51\/(-153)))\/(1\/42)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i**3 + i**2 - 3*i + 1. Let q be n(2). Let w = -18 + q. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -227, -361, -517, -701, -919, -1177, -1481?\nAnswer: -1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.4, -5, -1\/5 in decreasing order.\nAnswer: 0.2, -1\/5, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1 + 2 + 6394*b**2 - 2134*b**2 - 2144*b**2 - 2136*b**2. Let n(q) = q**2 - q. Determine n(a(h)).\nAnswer: 400*h**4 - 100*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1126, 1099, 1062, 1015, 958?\n\"Answer: -5*p**2 - 12*p + 1143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*b = -843, -503 = -t - 2*t + b. Let d = 174 - t. Let c = -42 - -60. What is the remainder when c is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4307743 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/w)**(5\/3) assuming w is positive.\nAnswer: w**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -814247371238.\nAnswer: -814247371237.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 763851614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -8 - (-9 + -13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107130 rounded to the nearest one thousand?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2105 - 1022 = -717*z + 1175 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156268 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3826194, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((5\/(-2))\/1)\/1)\/((-2825)\/119780).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + (-107)\/(-5))\/((-108)\/(-40) - 3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291662286, 291662285, 291662284, 291662283, 291662282?\nAnswer: 291662281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 370209575 to the power of 1\/3, to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -f + 2, -4*t + 3*f + 21070 = 21106 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4923510 is divided by 1641163.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 957 or 98656.7?\nAnswer: 957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 10*j = -100. Let u be 15\/(-1) - (-3 - -3). Let k = j + u. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (1 + 4*1). Suppose -4*f = -5*z - 19, 0*z - 31 = -5*f - z. Let t = g + f. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*230*3\/((-24)\/(-16)). Let p = 1527 + c. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -375, -860, -1669, -2802, -4259?\n\"Answer: -162*j**2 + j - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*j**3*q - 8*j**2*q + 6*j**2 + 3099*q wrt j.\nAnswer: 24*j**2*q - 16*j*q + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 13 = -1. Let f be x - 2\/(-1 - -2). Let q(u) = 2*u**3 + u - 1. Determine q(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 32 - (21 + 2 + -14)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**8\/1344 - f**7\/840 - f**6\/480 + f**5\/240 + 22*f**2. Factor k(a).\nAnswer: a**2*(a - 1)**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13464\/1760)\/51*(-10)\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101942, 102036, 102122, 102194, 102246, 102272, 102266, 102222?\nAnswer: 102134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1, -2, -3, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 4*p + 3*s + 20, -s + 4 = -p. Suppose p = -5*l - 5*g - 90, 0 = 5*g + 8 + 2. Let t = 6635 - 6650. Which is bigger: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11956 - 42. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24213010 + -4344?\nAnswer: -24222404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huuuuzuzzvug. What is prob of picking 1 g and 3 u?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*s - 10 = -4*t, -4*s = -3*t + 5. Suppose x = -t*x + 12. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**6\/660 + 2*p**5\/165 + 5*p**4\/132 + 2*p**3\/33 - 11*p**2. Factor z(u).\nAnswer: 2*(u + 1)**2*(u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -73*o**8\/1680 + 95*o**4\/24 - 2*o**3\/3 - 7*o**2\/2 - 81. Let y(w) be the third derivative of q(w). Differentiate y(b) wrt b.\nAnswer: -292*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765109109 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: What is (46 - 23 - 36) + -15?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5) + -2)*-2 + -2*sqrt(500) + -2.\nAnswer: -22*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -260628820*t - 398427862?\nAnswer: -260628820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 18168496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 76.5, 11, 0.3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -2*r - 2*p, -2*p = -4*r + 12. Let g(q) = -q**2 - 31*q + 68. Let j be g(-33). Suppose -1482 = -r*d + j*h, 95 = -3*d + 2*h + 1204. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from xkkxxkkkxktxk.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t - 10*t - 4*t + 6*t - 1659 as h + a*t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -877*z**3 + 275*z**2.\nAnswer: -5262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19550 and 115.\nAnswer: 19550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a + 21. Calculate d(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d = 2*d + 68 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x**3 - 6*x**2 - 7*x - 4. Let g(r) = -5*r**3 - 6*r**2 - 6*r - 5. Let l(o) = 4*c(o) - 5*g(o). Let s be l(-6). Put 1, s, 2 in descending order.\nAnswer: 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 652497779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93.6 - -93.57. Let y be 2 + -3 + (-1 - 1). What is the second smallest value in 1, o, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 33*m - 21. Suppose -5*t - 3*u = -2*t + 18, 9 = -2*t + u. Let b(s) = -8*s + 5. Let g(q) = t*i(q) - 21*b(q). Let x(v) = -5*v. Calculate x(g(o)).\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6973444 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a7589 (base 13) to base 6.\nAnswer: 22232504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + u**2 - 4*u + 2. Determine s(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4*4\/96*10*338\/(-130)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -970369*k + 6792572. Give l(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -14*d**2 + 4*d - 19. Let s(p) = -11*p**2 + 3*p - 20. Let z(n) = 4*r(n) - 5*s(n). Let b be z(7). Which is greater: b or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210212 (base 3) to base 10\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 5) in base 10?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13*u**2 - u. Let q(s) = 44*s - 45*s + s**2 + 5 - 13. Let r be q(4). Suppose 0 = -r*f - 5*f - 9. Determine k(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 9*h**2 + 47)*(4*h - 2 + 2) - 2*h**3 + 2 - 2.\nAnswer: 34*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1731*l**2 + 289*l**2 - 1044*l**4 - 2644*l**2 wrt l.\nAnswer: -25056*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(162))**2*6.\nAnswer: -324*sqrt(2) + 1026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7858.\nAnswer: 2, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = c - 5, -w = 4*w + c + 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1) + 7 + -10 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/4)\/((-11)\/(-22)). Suppose c*a + 2360 = 3*q + 8*a, 0 = 4*a - 4. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 218 = -46. Calculate the remainder when r is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-77)*4\/16?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 63\/(-6) - 1\/(8\/12). Let k = 12 + t. Suppose 2 = -j, -2*n + 2*j - 3*j + 204 = k. What are the prime factors of n?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/(-8)*8)*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9506011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t**2 - 1. Let m be w(-1). Let a(f) = -2*f - 8. What is a(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 + 5*d + 5. Let i = -21 - -26. Let z(r) = -10*r**2 + 16*r + 16. Suppose 0 = 4*v + 84 - 20. Give i*z(k) + v*x(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*c + 2*c + 4, 0 = a + 2*c - 11. Let w be (-4)\/2 + 6\/1. Suppose -41 = -5*l - w*y, 11 = l + y - 3*y. Calculate the highest common divisor of a and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 + 6*y + 2. Let p be a(5). Let u = p - -61. Let h be 3*4*(-6)\/(-4). Is u bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8575*h**2 - h**3 + 8575*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -17*a**2 + 5*a - 3. Let d(h) = h**2 - 2*h. Give 3*d(m) + g(m).\nAnswer: -14*m**2 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-56))\/((-9)\/(-105)))\/(-4)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 118*p**3 + 2*p**2 - 2*p + 140. Let c(a) = a**3 - a**2 + a - 2. Let w(y) = 2*c(y) + v(y). What is the derivative of w(i) wrt i?\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 6*c**2)*(4 + 0 - 2) + (-2 + 7 - 4)*(2*c**2 - 3*c**2 + 3*c**2).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**4 + 164*i**3 - 1480*i**2 + 4992*i - 5760 = 0. What is i?\nAnswer: 3, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8895.555nm?\nAnswer: 0.000000008895555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-42) + 4460\/(-7952))\/(6\/(-4)).\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-5*(sqrt(4)\/sqrt(2) + 3 - (0 + sqrt(2))*6))**2 - (sqrt(40) + sqrt(120)\/sqrt(3))\/((sqrt(60)*2)\/sqrt(12))).\nAnswer: -752*sqrt(2) + 1476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d + 5*d + n, d = -4*n + 3. Let l(p) = -203*p**3 + p**2 - 1. Let y be l(d). Does 17 divide (-8)\/(-20) + y\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(3*y - 2*y + 7*y + (4 - 3 + 1)*((3*y - 7*y + 3*y)*(3 - 2 - 3) - y - 6*y - 2*y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16860 divided by -4.\nAnswer: -4215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 455903 less than 455886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*u - 15*u + 10*u + (-1 + 1 - 5)*(7 + 0 + 1)*(3*u - 3*u - 2*u) as m*u + b and give m.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 41353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 311530, 311525, 311516, 311503?\n\"Answer: -2*i**2 + i + 311531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + -330525?\nAnswer: -330510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssp when three letters picked without replacement from psppsssspspppssssspp.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**5 - 11*p**5 - 2*p**5 + (2*p**4 + 2*p**5 - 2*p**4)*(-4 + 0 + 3)*(0 + 4 + 0).\nAnswer: -17*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*n - 2*n**2 - 684*n**3 + n**2 + 675*n**3 + n**4 to r*n**2 + h*n**3 + q*n + o*n**4 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/19 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/24 - -703*1\/8. Let j = k - -40. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7270 + 2*x - 3*x + 7274. What is i(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, n: 1, z: 4, j: 4, o: 8}. What is prob of picking 1 j and 3 z?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a microsecond in nanoseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 1:55 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11*g. Let b(w) = 2*w**2 + 121*w - 2. Calculate b(a(x)).\nAnswer: 242*x**2 - 1331*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 850 divided by 170\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 9. Let q be m(0). Suppose -f + 18 + q = 0. Calculate the lowest common multiple of 21 and f.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4)*44\/297. Factor -s*m**4 + 8\/9*m**3 + 0 - 8\/9*m**2 + 0*m.\nAnswer: -2*m**2*(m - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysyy when four letters picked without replacement from {s: 4, y: 5, f: 4, z: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 + 0.41. Sort n, 4, -2\/3, 3.\nAnswer: -2\/3, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 146\/39 or 3?\nAnswer: 146\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 117*n + 265. Let j be z(-1). Solve 0 = 26*u - 8 - j for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*w + 610 = -335 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 39272 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 647057 (base 8) to base 14.\nAnswer: 58d31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, -1\/155, 3\/25?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10411?\nAnswer: 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, x: 1, i: 2}. What is prob of sequence xw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1364, 3, -1, -90, -8 in descending order.\nAnswer: 3, -1, -8, -90, -1364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221221 - -12001002?\nAnswer: 11002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**3 + 1041367*w - 2082722*w + 1041355*w.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -7*z**4\/12 - 17*z**3\/6 + 6*z. What is the second derivative of v(i) wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 = 0, 3*v + 2*v = b + 502. Let s = 150 - v. Calculate the remainder when s is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 2. Let o be h(4). Let w be (-1064)\/(-6) + 1\/(-3). Let l = 257 - w. What is the highest common divisor of o and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 - 24*t**2 - 446*t - 42. What is the ten thousands digit of r(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 16, 2, 0.4, -7 in decreasing order.\nAnswer: 16, 7, 2, 0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -14\/10014889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-63*f**2 + 63*f**2 + 28*f**4).\nAnswer: -56*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3909200246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-6)*(-684)\/(-380).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7772646 - -16751?\nAnswer: -7755895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11 + 4*x**2 + 6*x**2 - 9*x**2 + 8*x**2 with respect to x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2570 divided by 5.\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -174*d - 47. What is the thousands digit of t(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 g when four letters picked without replacement from ftffgqfgfgqfcgcf.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 17 - 1 = 0. Put 1, 2, a in increasing order.\nAnswer: 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**2 - 21*p. Let v(w) = -w. Calculate 42*v(y) - 2*x(y).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - 84*h + 838. Calculate the remainder when q(21) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.4 (b) 8 (c) -2\/11 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w = -3*y + 30*w - 3, -5 = 5*y - 4*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3*sqrt(14)*2)\/(3*sqrt(28)\/sqrt(4)))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 33*y + 228. Determine x(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, y: 1, n: 7, f: 4, l: 2}. Give prob of sequence ngfy.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 20 = 4*p, 3*p + 0*p + 2*s = 13. Suppose 0 = -4*n - 3*c - 35 + 244, -p*n + c = -147. What is the closest to n in -1, -2, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 11*n + 13. Let d = 19 + 23. Suppose -3*s + 2*h - d = -0*s, -5*s - 72 = -4*h. What is the tens digit of u(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from rqqr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 + 4*q**2 + 4*q + 4. Suppose 5*o = o - 16. Let z be -1*(1 - 2*2). Let h(k) = 2*k**3 + 3*k**2 + 3*k + 3. Calculate o*h(y) + z*c(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36015 - -36079. Let w = 1 + -1.4. Sort -3, w, h in decreasing order.\nAnswer: h, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, -1, -3, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 263e + -177?\nAnswer: 24c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2. Suppose -11*f - 12 = -14*f. Let o(d) = -3*d**3 + 6*d**2 - 1. Let p(r) = -r**3 + r**2 + r. Let g(b) = f*p(b) + u*o(b). What is g(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 82501, 165038, 247575, 330112, 412649?\n\"Answer: 82537*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 18*s - 3. Let b(i) = -4*i + 3 + 7*i**2 - 8*i**2 + 2*i + i**3. Let d be b(2). Calculate the remainder when q(d) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 109563 and -1.19908.\nAnswer: 109561.80092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -230520 divided by 46104\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 670943 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17816 is divided by 330?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 3*i = -5*n + 21, 4*i - 8 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**4 + 15*w**3 - 75*w**2 + 145*w - 84 = 0.\nAnswer: 1, 3, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*8.3.\nAnswer: -0.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 83175?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522 (base 8) in base 14?\nAnswer: 44a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -19*y + 56. Let d(h) = 4*h + 81. Let i be d(y). Solve 5*p - 4*b - i = 2*p, 0 = 2*b + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/250551 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 4838, -3, -215, -2, 1 in descending order.\nAnswer: 4838, 1, 0, -1, -2, -3, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o**2\/3 - 518317372*o\/3 + 49363560 = 0.\nAnswer: -18511335, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103 - 93. What is the greatest common divisor of s and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-16)*24\/(-18)*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -22937*g**2. Let s(t) = 3*t. Give s(h(z)).\nAnswer: -68811*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8592518, -8592520, -8592522?\n\"Answer: -2*x - 8592516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 66034 (base 8) to base 10\nAnswer: 27676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12034936 is divided by 899.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1645*u - 2867 + 40512 = -561*u - 26311 for u.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-34)\/(1 - 2). Let d = l - -8. Let n = d - -44. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 7:04 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 8 = p. Let k be (3\/6)\/(p\/(-36)). What is the remainder when 19 is divided by 66\/k - 2\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 872, 1621, 2484, 3461, 4552, 5757?\n\"Answer: 57*z**2 + 578*z + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/140*15)\/((-2)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3220594019.\nAnswer: 17, 47, 4030781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1757592 and 509787.\nAnswer: 420064488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t + 2*t - 158*t**2 + 15*t to the form k*t**2 + r*t + a and give k.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19*c**2 + 4*c + 7. Give m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1)*(33 + -32))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10743452, -21486773, -32230094?\n\"Answer: -10743321*z - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(304) - sqrt(304)*3) + -3 - (3 + (sqrt(304) - (1 + (sqrt(304)*-3)**2))).\nAnswer: 20*sqrt(19) + 2731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 277 + -273. Suppose -i*p = 4*o - 592, -6*p = -5*o - 8*p + 746. Calculate the least common multiple of o and 8.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -52. Let d = 34 - f. Suppose -4*l = -9*l + d. Solve -5*z - 4*k + 29 = 0, 0*z = 2*z - l*k - 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 2 (c) 111 (d) 0.05 (e) 1 (f) 192\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -1\/2*s**3 + 0 - s**2 + 19*s - 1\/12*s**4. Determine z(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4\/5)*(m**(-2)*m)\/m)\/((m**(-31)*m)\/(m*m**19\/m)))**(-2\/7) assuming m is positive.\nAnswer: m**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 20 + 20. Let n = -33 + a. What is the remainder when 12 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 2144*b - 5*b**2 - 2143*b + 4287*b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + i + 69 = -3*i, -2*i = 6. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17887 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509059563?\nAnswer: 3, 71, 2389951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 263*s - 126. Let h(r) = -263*r + 158. Give 4*h(d) + 5*z(d).\nAnswer: 263*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -130544 minus -5.93555?\nAnswer: -130538.06445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.37 + 10.07. What is the third biggest value in 59, u, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149842, 299684, 449528, 599374, 749222?\nAnswer: 899072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 4*y - y = 12, 3*y = -2*z + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -3. Let y(j) = -j**2 - j + 37. Let o be y(6). What is the smallest value in -1, o, -7, z?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100815650?\nAnswer: 2, 5, 13, 43, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (8 + -2)\/(-2). Let o(s) = -w + 2*s - 4*s + s. Let r be o(-9). Solve r*b = 4*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.07 (b) 2\/21 (c) -111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/13 >= 2437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9208.00495 rounded to the nearest 10?\nAnswer: 9210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 856935520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/2 + 220\/40?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.5, -0.5, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(63) + 0 + sqrt(2268) + (sqrt(63)*1 + 3 - sqrt(189)\/sqrt(3)*5))**2.\nAnswer: -144*sqrt(7) + 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 9:23 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-273)\/(-90) - 3)*4. Let f = v - -1\/15. Suppose -13 = 4*h - 1. Which is the closest to h? (a) 5 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1474150*m**6 + 1856428*m**2 wrt m?\nAnswer: -176898000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 2 = 0, 4*m + 16 = 3*i + 12 - 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 + 7 + 2*z**2 + 0*z**2 + z**2 in the form w*z**2 + y + u*z and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 218579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2419295 is divided by 319.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 + 358*f + 1210. Determine h(-86).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*s + 114 = 0, -s = -4*r + 37266 - 37167 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + r**2 - r + 1. Let o(j) = 4*j**3 + j**2 - 4*j + 15. Let g(x) = o(x) - 5*u(x). Is g(-5) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q**2 + 2*q - 10. Let p be b(5). Suppose -2*k + p = 2*k. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 737288.4 millimeters?\nAnswer: 737.2884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 9 - (-1 - (-5 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4491.941 weeks in hours?\nAnswer: 754646.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3 - 2*f**3 - 34*f - 3*f**2 + 3 + 32*f. What is the lowest common multiple of 11 and j(-2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -828 - -827. Let c be 28730001*(5 + -4) + y. Round c to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 59\/6*n**3 - 19*n + 0 + 0*n**2. Let l(x) = 1. Let i(d) = -d - 3. Let o(q) = -2*i(q) - 6*l(q). Determine y(o(b)).\nAnswer: 118*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sseeseeesee. Give prob of sequence eess.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70953\/5? (a) 0.021 (b) -3 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. What is the units digit of o(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -669886, 3, -20, 4 in ascending order.\nAnswer: -669886, -20, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(2*l**3 - 2*l**3 + 3*l**4) + 5*l**3 - 5*l**3 + 4*l**4.\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74757\/1495 >= 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*o - 12, o - 4*s + 2*s = -1. Calculate the lowest common multiple of 635 and o.\nAnswer: 4445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-54)\/(-12))\/((-6)\/8). Let m be (4\/g)\/((-12)\/18). Suppose 4*o - m = 3*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36803153 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (259 - 259 - 227*a)*(-23*a**2 + 31*a**2 + 58*a**2).\nAnswer: -14982*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = 3*q, -4*q + 18 = l - 4*l. Suppose 0 = -x + q*c + 43, -2*c - 1 = 4*x - 131. What is the greatest common divisor of 85 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.2 - 4.8. Let a = 20.6 + p. Sort -7, 5, a in decreasing order.\nAnswer: 5, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -17. Let q(s) = -11*s + 71. What is the lowest common multiple of f and q(3)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, 54, 31, -14\/9, 1, 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7 - 2 + 5*o**2 + 3*o**2 - 12214*o + 0 + 12223*o + o**3. Let p = -14 + 7. Let s be p\/(1*(0 - -1)). Give b(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127 + -122. Calculate the remainder when 25 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2054580 and 27225?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 36.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:42 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bblbllb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 - 19*r**2\/10 - 11*r\/10 + 3\/10.\nAnswer: -(r + 1)*(r + 3)*(5*r - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322821739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6640, 26746, 60324, 107380, 167920?\nAnswer: 241950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 96*g**2 + 96*g**2 + 11*g**3 - 3*g**3 + g**3 + 4*g**3 + (g - 3*g + 0*g)*(-4*g**2 + 2*g**2 + g**2) as l + m*g**3 + i*g**2 + y*g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/3305?\nAnswer: -4\/3305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3337729134 + 222.201\nAnswer: -3337728911.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 21892.9ml?\nAnswer: 21.8929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 8*v - 13. Let y(q) = 5*q. Let p(x) = -14*x. Let i(d) = 6*p(d) + 17*y(d). Let u be i(-6). Let z be a(u). Is 6\/13 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 21318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29507665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + p)*(447 + 23 + 378 + 223).\nAnswer: 1071*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23743 = -36*o + 140705. Let b = -294 + o. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 3:49 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 3. Let p = 25 - 14. Let l(u) = -8*u - 8. Suppose 12 = 3*r - 0*r. Suppose 12 = 2*i + r. Give i*l(y) + p*c(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (43 + 0)*18\/18. Let w = v - 39. Let y(o) = -o - 4. Let m be y(-6). Solve 8 = -w*n, 3*t = -t - m*n - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = 4*a + 309. Let w be 1*(-3 - (-52)\/4). Let o(g) = -w*g**2 + 20*g**2 + 2*g + 10 - g + g**3. Calculate o(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-2 + (-5)\/(-2)). Let n be (-6)\/15 - 2\/(-5). Suppose -v - 3 + n = 0. Sort 5, x, v.\nAnswer: v, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79\/483 + -80\/161. Which is the closest to 5? (a) 3 (b) -7\/5 (c) x (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7333 - 2255 - 10238 - 1196 = 457*r for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -1\/40*r**6 + 1\/6*r**3 - r**2 + 0 + 0*r**5 + 0*r**4 + 0*r. What is the derivative of z(o) wrt o?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -12*h**3 + 12*h**2 + 7646*h + 15239. Determine p(-2).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170411*p**4 - 18*p**2 + 3642?\nAnswer: -4089864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 0.3, -2\/11, 1515\/11, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -103320 (base 6) in base 11?\nAnswer: -6468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -382 - -387. Suppose -5 = f*p - 10, 5*p - 20 = -5*h. Solve -8*j - h = -11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.959 + -1.859. Is -13\/86 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 521407917 to the nearest integer?\nAnswer: 22834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 5*b**2 + 0 - 5\/6*b**3 + 0*b**5 + 0*b + 0*b**4 - 1\/40*b**6. Find the first derivative of p(q) wrt q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.73 + 0.07. Let l = 0.2 + d. Let c = -31 + 61\/2. What is the third biggest value in l, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 842574239 to the power of 1\/4, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-443)\/4 + 15\/(-60). Is 8 a factor of (1\/(-2))\/(24\/32)*m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 126155.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -24. Let z be -1 + (v - 2) + 0. Let k be z\/((-21)\/2 + 0). Is -6 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4475312*d - 387239*d + 751320*d + 672341*d.\nAnswer: 5511734*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51567 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004656 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5318, 21513, 48504, 86291, 134874, 194253?\nAnswer: 264428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -1)*1\/1. Sort c, 4, -5, 10.\nAnswer: -5, c, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 687 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0984385081 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 45 = 15. Let r be (-231)\/(-14) + 2\/(-4). Calculate the common denominator of (188\/r)\/(30\/s) and -113\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5221 = 4*q - 4*a, -5*a = -25. Suppose 2*z = q + 8431. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -10*m - 34. Let z be 30\/(-135) - (-8)\/m. Let g = 3.9 + -4. Which is the second biggest value? (a) 2 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.62859 decades to centuries.\nAnswer: 4.262859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -490 less than -0.1?\nAnswer: 489.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 9. Suppose 4*m + 2*c - 40 = 0, -5*c + 44 + 11 = 5*m. Sort m, -1, v.\nAnswer: v, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*b = -1408, b + 5966 = 4*d + 282. What is the highest common factor of d and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/726 and -79\/382206.\nAnswer: 4204266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 7*l + 7. Suppose -15 = -3*t - 2*t. Let b be (t - 4)\/((-2)\/(-14)). What is the units digit of i(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 3*p**2 + 2*p**2)*(-p + 3*p - 4*p + (-2*p + 3*p - 3*p)*(0 + 6 - 4) - 1 + 1 - 9*p) + 149 - 10*p**2 - 15*p**3 - 147 - 25*p**2.\nAnswer: -45*p**3 - 35*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -167 (b) -5 (c) 3 (d) -0.2 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -15*d. Let g(q) = -11*q + 6*q + 3*q. What is h(g(f))?\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 3*l - 5*v, 0 = 4*l - 157*v + 160*v - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 13*l. Let a be o(11). Is a at least 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 28 = -2*w. Let o(g) = -g + 5. Let b be o(w). Let f(i) = -2*i**2 - i + 1. Determine f(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 88, 106, 124, 142?\n\"Answer: 18*x + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 8:15 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -13.13. Let n = o - -4.87. Let p be (-18)\/56 + (-1)\/4. Which is the second smallest value? (a) 0.2 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17978198 take away -0.3?\nAnswer: -17978197.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-105) + 1\/(-120)*-8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0953236 times 4?\nAnswer: -0.3812944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-8)\/(-4) + 2. Let k(t) = 7*t**2 - 2*t + 1. What is the remainder when 16 is divided by k(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.289 - -0.011. What is the biggest value in -3, s, -1\/3, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 3. Let w = 60 + -64. Let u(p) = -2*p**2 + 46*p - 199. Let t be u(17). Let k(h) = 3*h - 2. Give t*k(c) + w*m(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j - 24 = 0. Suppose -j = -3*q - q. Let r(n) = 4*n**q - n - 3 + 5 - 2*n**2 - 2*n. Let l(m) = -m**2 + m. Calculate 4*l(y) + r(y).\nAnswer: -2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 274576598 and 6.\nAnswer: 823729794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1125)\/sqrt(9) - sqrt(5)) + sqrt(10)\/sqrt(2)*-4 + -6*sqrt(20)\/sqrt(4) + sqrt(5))**2*-5.\nAnswer: -630 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/84 - 25*g**3\/42 - 68*g**2\/7 - 1095*g. What is b in r(b) = 0?\nAnswer: -17, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76858 - 11.\nAnswer: 76847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -277\/704 + 9\/22. Sort q, 0, 0.4, -3 in descending order.\nAnswer: 0.4, q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25, 44, 61, 76, 89, 100?\n\"Answer: -i**2 + 22*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.051 + -0.051. Let c = 139.3 + -139. Let d = 2 + -2.1. What is the closest to r in 0.5, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4551 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2512 and 1362446.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 6*f + z + 16, 5*f + 14 - 56 + 16 = 2*z for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 169 = 4*q - 7*q, z = 4*q + 217. Let j = q + 56. Suppose -2*f + 3 = -5. Solve 5*y + 4*v = 20, f*v = j*y + y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + i**2 + i. Let n(y) = y**3 + 5*y**2 - 10*y + 9. Let d(g) = -2*a(g) - n(g). Let p be d(6). What is the units digit of -1 - -296*3\/(3 + p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*r - 8, -61*x + 66*x - 10 = 3*r. Solve 5*p + 6 = -x*h + 5*h, 6 = 4*p + 3*h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 u when four letters picked without replacement from oeuoeeeole.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1044*v**2 + 288*v + 288. Let r(a) = 36*a**2 - 10*a - 10. Let x(u) = 5*f(u) + 144*r(u). Let w(n) = 43*n. Determine x(w(t)).\nAnswer: -66564*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 6:08 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, j: 1, i: 5, r: 4}. What is prob of picking 1 n and 1 j?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(24) + (-1*sqrt(864) - sqrt(24) - sqrt(24) - sqrt(24)))*-6)\/(sqrt(972) - (sqrt(972) - -3*sqrt(972)) - sqrt(972) - sqrt(12) - sqrt(12)*2*1).\nAnswer: -48*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/6, -1, 3, 0 in increasing order.\nAnswer: -1, -1\/6, 0, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/3 - 67*c**3\/12 - 6*c**2 - 1544*c. Let o(y) = 0. Calculate y.\nAnswer: -8, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -60995 divided by -12199?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-13 - -14)*1\/(-1)). What is the units digit of 44 - 1 - (1 + m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/(1\/(-3)*(-1 + -2)). Let g = b - 36. Differentiate -3 - 22*j + 0 - 1 - g with respect to j.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 18 = -3*p, 214*p = -2*a + 221*p - 21 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.7 + 0.3. Let n = s + -10. Suppose -3*t = -3*g + 3, -5*t + 7 = -3*g + 4. Which is the nearest to 0.6? (a) g (b) -2\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3827313 divided by -425257\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -66*m**2 + 419*m - 1505. Calculate h(4).\nAnswer: -885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13414 (base 5) in base 10?\nAnswer: -1109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6062108 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/8970 and 9\/8320.\nAnswer: 574080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4888 + 4921. What is the remainder when 84 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Suppose w*p + 2 = 4. Let h(j) = -68*j**3 - 1 + j**2 + 3*j + 73*j**3 - 3*j. Calculate h(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -584 (b) -1258 (c) 1\/2 (d) -1 (e) -4 (f) 0.08 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + (-5 - (3 - (2 + 10 - -6)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 8*z + 29*z - 9*z.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 10 = -18*v. Solve v*w - 16 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Suppose -3*d = -10 - 11. Suppose 0 = -f + 5*w - 6, c*w + d = 2*f + 3. Solve 0 = f*l + 3*v - 4, 3*l - 5*l + 20 = -3*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6*0 - -41. Let s = w + 0. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -937, 119, 1177, 2237, 3299, 4363, 5429?\n\"Answer: i**2 + 1053*i - 1991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.530228 * 0.3\nAnswer: 0.1590684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570325 is divided by 1783.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -54637, 5, 40 in increasing order.\nAnswer: -54637, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**5\/240 + l**4\/96 + 9*l**2. Factor u(n).\nAnswer: -n*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2387)\/(-682))\/((-7)\/34).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142819381 is divided by 192.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 + 17*m - 31. Let i be s(10). Let v = -1445\/4 - i. Let c = 3 + -3.01. Sort c, 2, v in ascending order.\nAnswer: v, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccuuufccuuccchs. Give prob of picking 1 h and 1 f.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44807, -42663, -40519, -38375, -36231, -34087?\nAnswer: -31943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(306)\/sqrt(9))\/sqrt(2) - ((sqrt(17) - (-2 + sqrt(17) + -5 - sqrt(17)))**2 - (sqrt(17) + 1)*-4).\nAnswer: -70 - 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/10 - (-11 - 11\/(-11))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let v be (-10)\/(l + (-1 - 0)). Suppose v*f = f + 5*k + 3, -3*f + k = 6. Sort f, -5, -4.\nAnswer: -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20731554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37844621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2110 (base 4) to base 16\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w. Let g be i(8). Suppose -5*n - 1 + g = 2*b, 0 = n + 5. Is (-2)\/(b\/(-8066)) - 33\/(-44) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**6\/6 + 4*i**5\/5 - 25*i**4\/16 + 19*i**3\/12 - 7*i**2\/8 + i\/4 + 12. Let q(c) = 0. Calculate c.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6569548.82221 and -0.92?\nAnswer: 6569547.90221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4 = -3*b, -10*u + 13*u + 2*b - 31 = 0. Solve u*f + 4 = -1, 4*d - 2*f = -6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*w**3 + 7*w**2 + 9?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s + 6. Suppose 3*p = -2*n + 4 + 2, 2*p - 14 = 2*n. Suppose -16 = p*z, 4*t = -5*z - 1 + 5. Let r(b) = b + 1. What is t*r(o) - h(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 51 = 5*x, -4*o - x + 75 = -2*x. Suppose -o = 4*r - 7*r. Let w = -26 + 43. What is the remainder when w is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 392204 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 1. Let b(g) = -4*g + 33. Let z(t) = b(t) + s(t). Let r be z(-10). Round r to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4378932 divided by -13.\nAnswer: 4378932\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62162784994409.9999995 - -62162753472780. Let g = w - -31521644. Let r = g + -14. What is r rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 1 - 8697*a - 8.\nAnswer: -8697*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3025 and 14025.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67435231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 2*j**2 - 4*j + 3. Let u be m(3). Solve u = b - 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54848196.\nAnswer: 2, 3, 13, 163, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 2, t: 14, y: 2}. What is prob of sequence tt?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(((-2)\/4)\/(45\/(-18) + 3)). Which is smaller: 7\/1123 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (2 - -11)) + 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21801920?\nAnswer: 2, 5, 7, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w + 2*w - 11*w - 12*w. Let x be z(-2). Let f = x - 51. Solve 0 = -6*m + f*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113320, 226591, 339862, 453133, 566404, 679675?\nAnswer: 792946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 82 - 9*a + 80. Let y(p) = 0*p - 6*p - 3*p - 2. Suppose 6 = 2*g - 3*g + 4*j, 3*g - j = 15. Give g*y(k) - 7*w(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + d. Let m(u) = 2*u**3 + 5*u**2 - 3*u - 2. Let p(k) = 4*b(k) + m(k). What is the lowest common multiple of p(2) and ((-2)\/3)\/((-2)\/6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1376 and 15584?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -3*z + 2*v - 11, -5*z + 3*v - 11 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w - 3. Let t(f) = 2*f**2 + f - 1. Let r be t(1). Let y be d(r). Solve -y = q + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-727431)\/56390*(-10)\/12. Suppose -1\/4*s**3 + 1\/4*s + 43\/4 - k*s**2 = 0. What is s?\nAnswer: -43, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/2 + 19 - (8 - (1 - 5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -164874025 and 0.066.\nAnswer: -164874024.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 731*k**2 - 368*k**2 + 2 - 364*k**2 - 1470*k to l + g*k + a*k**2 and give g.\nAnswer: -1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124796 + -42930. Let r = 276726 + u. What is r rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a1 (base 16) in base 2?\nAnswer: 110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00662 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-1 + sqrt(1584))*5)**2 + sqrt(1584) + sqrt(1584) + (sqrt(1584) + sqrt(1584) + (sqrt(1584) + 1*sqrt(1584) + -3 - sqrt(1584)))**2)*-4*6.\nAnswer: -19008*sqrt(11) + 1293360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1790*z**3 - 3491*z**3 + 1698*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2438, 4913, 7384, 9851, 12314, 14773, 17228?\nAnswer: 19679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -265*m**3\/6 - m**2\/2 + 127*m. Let r(u) = -14*u**2. Give r(g(n)).\nAnswer: -983150*n**2 - 7420*n - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-12))\/(70\/(-90)). Let d = 19\/42 + z. Which is the nearest to d? (a) -3 (b) 0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 2, 11*h = w + 9*h - 1. Suppose 951 = 5*o - s, -w*s - 593 = -3*o - 8*s. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - u**2 - 5*u + 96. Suppose 2*y = 5*j - 10, 2 + 3 = 4*j - y. What is the units digit of s(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -763530, -3054145, -6871846, -12216633, -19088506, -27487465?\nAnswer: -37413510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 7*u**2 + 5. Let o be x(-7). Let k = 85343 - 85340. Solve o*t - k = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**3\/6 - y**2 + 4*y. Let c be z(-4). Suppose -16 = c*d - 46. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 - 18*y - 18. Let t be j(-1). Let p(k) = k**3 - 5*k**2 + k - 1. Determine p(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*h, 12*h - 16*h = r - 19. Which is the nearest to r? (a) 0.4 (b) 1\/13 (c) -5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141676 is divided by 1715.\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961408?\nAnswer: 2, 7, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 154.36116 and 1.2.\nAnswer: 155.56116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75779151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1 + (1 + 0 + 0)*(2 - 3 - 1) + 3 - 2 - 2 - 1 - 1 + 1 + 1 - 3 + 4)*(2*j + 0*j - j + (-3*j + 3*j - 2*j)*(0 - 3 + 1)) to z*j + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + 4*(sqrt(99)*1)\/sqrt(9)))**2 + (1*sqrt(539) + 1)**2 + (sqrt(539) + 1 + sqrt(539) + -1)**2.\nAnswer: 398*sqrt(11) + 5656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4 - 476*c**3 + 72768*c**2 - 3668112*c + 7048944 = 0.\nAnswer: 2, 126, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -390000 divided by 975?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 8246 = -53*r + 84*r. Calculate the highest common divisor of r and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 48 + 43 = 2*x, -2*x + 7 = -n. Calculate the greatest common factor of x and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 40 + 3*i + 4\/3*i**3 + 0*i**2 - 1\/4*i**4. Give h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/3)\/x)\/(x**1*x)*(x\/x**(6\/7))\/x*x**(-6) assuming x is positive.\nAnswer: x**(-172\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*z - 5*z - 4*z + 3*z**2 + (-z + z + z)*(2*z + 5*z - 5*z) as b*z + k + q*z**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 27 = 4*m. Which is bigger: 25\/6 or m?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 19*z = -18*z + 6910, 2*y - 4612 = 2*z. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1651*a**3 + 7055*a.\nAnswer: -9906*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 - 14) - (12 + -23).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119123452.\nAnswer: 2, 279780863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -92\/19, 1\/5, -27156?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 3385?\nAnswer: 3383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -403*d + 141*d - 118*d + 5320 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -975 or 970?\nAnswer: 970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*w - 1 + 2, 3 = 3*x + 3*w. Suppose 5*g + 35 = -5*y, -3*y + 2*y = -x*g - 38. Let h be 0*(12\/g)\/(-4). Put -2, h, -1 in ascending order.\nAnswer: -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -15*h + 7. Let n(f) = -11*f + 6. Let g(x) = -3*m(x) + 4*n(x). Let q(p) = -p - 3. What is -3*g(w) - 2*q(w)?\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(504) + (sqrt(504) - 2*sqrt(504))))\/(sqrt(96)\/(-2*sqrt(12)*-2 - sqrt(12))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 0.1, -2, 0 in increasing order.\nAnswer: -2, -4\/9, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2317.48 - 2385. Let t = k + 1.52. Let g = 66.29 + t. What is g rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19 times -11.4?\nAnswer: -13.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 1. Let i be 2\/(-16 - -15 - (-3)\/9). Let x(u) = -3*u - 1. What is i*x(c) + 6*q(c)?\nAnswer: 3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1791, 3094, 3913, 4248, 4099, 3466?\nAnswer: 2349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - n + 3 - 9, -4*b - 12 = 4*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**4 + 145*w**3 - 4309*w**2 - 20588616*w.\nAnswer: 12*w**2 + 870*w - 8618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 7932*f - 7929*f - 15 + 1, -3*f + 20 = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 37 - 9*r**3)*(-7*r + 11*r - 36*r).\nAnswer: 288*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 8:27 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k - 14. Let c be d(-2). Suppose -c*y + 6*y = 0. Let l(i) = -2*i + 13. Let a be l(5). Solve -w = -y + a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 12\/(-9))*267. Suppose -2*m + z = -m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y + 10 = 0. Let o be ((-4)\/6)\/(24\/(-20484)). Suppose y*p - 45 = o. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 336 + 2361 = 0. Calculate the greatest common divisor of h and 324.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*y = -2 + 3, 0 = 3*y + 3. Suppose x - 9 + 5 = 0. Suppose -2*f + 2 = -3*l - 0*f, -4*f + 24 = x*l. Is a greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14407304 to the nearest integer?\nAnswer: 3796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122572935.5067134 - 122364874.4497. Let o = 208061 - d. Let z = 0.057 + o. Round z to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 123917, 235884, 347849, 459812, 571773?\n\"Answer: -v**2 + 111970*v + 11948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 346540592*a*j*y + 261696018*a*j wrt y.\nAnswer: 346540592*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 divided by 1284?\nAnswer: 317\/1284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 6*w + 19 = -4*f, 3*w = -2*f + 31. Suppose 7*i = 16 - w. Solve 2*c - d + 3 = i, -3*c + 5*d - 17 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 + 246*y**2 - 18*y - 1614. Give t(-82).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 12 + i**3 - 26*i + 5*i + i**3 - 8*i**2 - i**3. Let w be q(10). Solve -5*x - 5*b + 5 = 0, -w*b + 1 = 3*x - 0*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = 12*l - 244. What is the closest to l in 2, -0.3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 1288 = -69*l. Solve -l*k = 11*k - 75 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10785 - 10790. Let r(q) = 7*q**2 + q + 2. Let b(y) = 6*y**2 + 2*y + 2. Determine s*r(a) + 6*b(a).\nAnswer: a**2 + 7*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17942 - 10558. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/10 - 3*-1. Suppose d - 2*w = -6 + 1, -d + 4*w - 7 = x. Sort 1, d, -4.\nAnswer: -4, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 - -237. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46014.\nAnswer: 2, 3, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 - 13*o + 27. Let t be u(2). Suppose 23*r = t*r + 390. Solve 12*x + 3 = r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(-l - 4*l + 4*l) + (1 - 2 + 5)*(-5*l + 4*l + 0*l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0*z + z + 0*z. Let u(x) be the third derivative of 35*x**2 + 0*x + 0 - 5\/24*x**4 - 1\/6*x**3. Determine 6*g(r) + u(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/50 and 63\/460.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 3 + 2)*(2 - 1 - 5)*(8*d - 5*d - 7*d) to the form r*d + g and give r.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-312)\/(-2)*1\/(-1). Is 2*(3 + -2) - p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -14, 91, 14\/11, 16?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2. Let b(n) = -12*n**2 - 3. Determine m(b(d)).\nAnswer: -144*d**4 - 72*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y = 0. Suppose y = -4*t + 6*t - 2. Is ((-715)\/(-22))\/(t\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5563 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6403 - 12788 - 53*r**4 + 6415)*(r + 0*r - 3*r).\nAnswer: 106*r**5 - 60*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12560705 - 17?\nAnswer: -12560724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -41*i + 1. Let o be u(-6). Let y be (14\/5)\/(2\/40). Suppose -o + y = -l + 5*n, -4*l + 2*n + 764 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14672538 by -18.\nAnswer: -815141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (1 - (7 + -1)). Let o be (1 + -3)\/(2 + 0). Let f = o + n. Solve 2*l = 7*l - 4*x - 3, 3*l - f*x = -6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105cde (base 15) in base 13?\nAnswer: 213854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*j + 5*j. What is the second derivative of 3 + f**4 - j - 2*f wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*t**3 - 3 + 3 in the form p*t**2 + r + z*t + m*t**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2908 is divided by 678?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = n + 2762, 0 = 4*m - 7*m - 5*n + 8270. Suppose -31*b = -33*b + m. Is 28 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.68030727 rounded to four dps?\nAnswer: 2.6803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, 1\/3, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*x + 4*x - 80, 4*x = 0. Suppose -z - 10 = -2*t. Calculate the remainder when 38 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77916663 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 29 = 4*p + 9, 4*q + 4*p = 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**5\/15 + h**4\/4 - h**3 + 8. Let q(z) be the third derivative of t(z). Differentiate q(r) wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxkzzuju. What is prob of picking 1 z, 1 j, 1 k, and 1 t?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 48*u**2 - 5*u + 5. Let a be b(1). Let y = 73 - a. Let m = 73 - 26. Calculate the remainder when m is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 2*q - 7*q. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1000*q**3 - 3*q**2 + 597*q + 3. Let x(j) = 999*j**3 + 2*j**2 - 597*j - 2. Let r(b) = -2*l(b) - 3*x(b). What is the second derivative of r(y) wrt y?\nAnswer: -5982*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11202033 - 2?\nAnswer: -11202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 325 = -2*z - 32*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-85*v - 62*v + 40*v + 39*v - 127*v).\nAnswer: -195*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*t - 24*t + 34992. Calculate the remainder when t is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8145367*4\nAnswer: 32581468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 2*s**2 + 2*s**2)*(251 + 432 - 557) - 2*s**2 + 2*s**2 + s**2.\nAnswer: 379*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -301793600*f**2. Let g(d) = 4*d**2. Give g(h(m)).\nAnswer: 364317508003840000*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*c - 16650 + 11138 = 0 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -647*v + 1024. Does 72 divide q(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7531 + -7531. Solve -11 = 19*o - 20*o - 4*h, 2*o + 4*h - 14 = j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 3:05 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076336 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-9 + (4 - 2)) + 3. Suppose 5*j = a, 5*p + 0*j - 2*j - 16 = 0. Is 25809\/77 - p\/22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 234*c**2 + 35*c - 218. What is the thousands digit of s(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -123\/71 (b) -0.3 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26969699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(78\/(-18))\/13*-1*16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 132. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -119, 2185, -2\/7, 0.1, 6 in descending order.\nAnswer: 2185, 6, 0.1, -2\/7, -3\/5, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-35)*(-9)\/(-54)*99.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/819 and 2\/84*16524\/10608?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*y - 3 = 0, -3*o = -y - 8 - 4. Suppose -30 = -o*c - 0*c. Let w(d) = -d**2 - 8*d - 6. Calculate the smallest common multiple of w(-7) and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 2*n + 12, -9 = d + 3*n + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2325 + 1162 - 24*t + 1163.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmhmmmmmmhhmmmhhh. What is prob of sequence mhm?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-1)\/(-1)) - -2. Let t(i) = -2*i + i**2 - 10*i**3 + 23 + 28 - 50 + 3*i**3. Calculate t(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2 + 2*z + 0*z**2 - z**3 - 1 + 2*z**2. What is the remainder when (4\/6)\/(8\/12) is divided by s(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1190\/(-272) - ((-6)\/12)\/((-1)\/(-8)). Let s = 3 - 3.3. What is the closest to 2\/7 in -3, f, -33, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine sixteenths of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -543 * 25.\nAnswer: -13575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141814 divided by -554.\nAnswer: -70907\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-121)\/22)\/(1\/26). Let x = d - 1357. Round x to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1237*f*i**4*u - 2*f*i*u - f*i + 6*i**4*u + i*u - 35*i + 5943*u wrt i?\nAnswer: -14844*f*i**2*u + 72*i**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15755 by -137.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/123, -4, 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 330 - 692. Let z = c + 380.86. Let l = -5.04 - z. What is l rounded to zero dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 4. Suppose -y = 7*t - 2*t - 65, t - 13 = -y. Calculate the remainder when t is divided by q(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -81*l**5\/2 + 9549*l**4\/2 + 10360*l**3 - 12024*l**2 + 2880*l = 0.\nAnswer: -3, 0, 4\/9, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/79)\/(x**(-3\/8)*x))**38)**(-3\/29))**(1\/65) assuming x is positive.\nAnswer: x**(21603\/595660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(-55))\/(2\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/10 + 2\/10. Suppose -5*k - 2*c = -20, 2*k + u*c = -0*c + 14. Sort k, -5, 3 in descending order.\nAnswer: 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -1950, -6517, -15402, -30045?\nAnswer: -51886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*k = -36, 0*f + 31 = -4*f + 3*k. Suppose -5*d - 15 - 15 = 0. Let t be (4\/45)\/((-4)\/d). Sort 3, f, t in decreasing order.\nAnswer: 3, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -8. Suppose f - 5*f = v. Suppose f = -h + 47 - 19. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37100 + -4?\nAnswer: 37096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10679 - -7379. What is w rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 42484 = -2*t - 2*t, -5*t = -3*u + 53101. Let z = 6279 + t. Round z to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 6 + 4. Let d = 273 - a. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.5, -0.03, 2\/11 in increasing order.\nAnswer: -0.5, -0.03, 2\/11, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2 (b) 5 (c) -10.3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f + 23 - 50 + 19*f.\nAnswer: -2*f - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -559 + 1036. Let s = -309 + x. Suppose 6*h - 66 = s. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 4*d**4 - 4*d**4 + 6*d**2 + 10*d**3 + 3*d**4.\nAnswer: 3*d**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - 2*q + 2*q)*(-18*q - 36 - 2 + 41).\nAnswer: -18*q**5 + 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 118111, 236143, 354097, 471967, 589747, 707431?\n\"Answer: -x**3 - 33*x**2 + 118138*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:28 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*o + 519 = -2*o, 3*b - 4*o - 313 = 0. What are the prime factors of b?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297306601 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 116 = -7*a + k, 92 = 3*a - 2*k. Suppose 0 = 4*x + 20*q - 16*q - 32, 2*x + 3*q = 21. Solve -3*h + 4*p = -a, 4*h + p = -x*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*h = 16, 70*h - 36*h = 5*q + 33*h + 66 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14\/9 + -5\/3. Let x(g) be the first derivative of g**3\/3 + 4*g**2 + 20*g + 29. Let k be x(-5). Which is the second biggest value? (a) k (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*d - 2*a + 10, -43 = 3*d + 4*a. Let u(f) = f**2 + 7*f - 13. Let y be u(d). Find the second derivative of 3*h**y - h**5 - 2*h + 0*h wrt h.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19546?\nAnswer: 2, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -3\/2, 2, 47?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l - 21. What is the remainder when j(10) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.334961 milligrams to tonnes.\nAnswer: 0.000000002334961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 17*i**2 + 2*i - 27. Suppose -2*t + 7*t = 60. What is the remainder when t is divided by r(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3\/2 - 1515*r**2 + 228000*r + 462080.\nAnswer: 5*(r - 304)**2*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152*u + 25*u - 168*u)*(-3*u**2 + 3*u**2 - 2*u**2) + (0 + 0 - 7)*(u**3 + 2*u**3 - 4*u**3).\nAnswer: 597*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/26627 and -85\/8.\nAnswer: 213016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29473826?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -19*l - 2. Let j be (2\/4)\/((-1)\/8). Is i(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 50. What is the remainder when s is divided by (-1)\/((-3)\/(-9)) + 20 - 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiii. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 9. Let s = l - -11. What are the prime factors of (24\/9)\/(4\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73313975 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19678430 and 12690.\nAnswer: 531317610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 104. Is (65\/(-10) - u)*(-5692)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = -4. Is ((-3)\/v - 4) + 156 + 2 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 37*x + 17. Let t(a) = 59*a + 25. Let o be (-6)\/(2\/(-4) - (-3)\/(-12)). Let r(z) = o*v(z) - 5*t(z). Give r(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/8 - (36 - (4 - (-3 + 0)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(6\/11))\/(u*u**(2\/5)))**(-20)*(u**(-1))**(-4)\/(u**(1\/4)\/(u*u*u**(-2)*u*u)) assuming u is positive.\nAnswer: u**(125\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 3, 1, -1, 0, 11882 in increasing order.\nAnswer: -1, 0, 1, 3, 34, 11882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1151*g + 1148*g = l + 10, 4*g = l - 25. Solve 3*h + 10 = h + 3*c, -l*h = -4*c + 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/25*13\/((-169)\/(-39))*(-55)\/3.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 3*w**2 + 4*w + 25. What is the tens digit of v(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 197, 201?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 43 + 55 = 0. Let l(x) = -68*x - 10. Let f be l(-7). Suppose 5*j = z*j + f. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 10*h**2 + 25*h - 1. Let f be i(-6). Let s(n) = -4*n + 7. Determine s(f).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8652.88l?\nAnswer: 8652880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4489, -4435, -4381, -4327?\n\"Answer: 54*f - 4543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011100010111000 (base 2) to base 3.\nAnswer: 101201121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.21? (a) -7 (b) 1 (c) 132 (d) -3 (e) 2.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271 - 38*q**3 - 357 - 277 + 905.\nAnswer: -38*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(1300) + -1))*-4)**2 + (sqrt(13) - sqrt(26)\/sqrt(32))*-6.\nAnswer: -585*sqrt(13)\/2 + 16864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -51*u**3 + 4*u**2 - 3*u + 3. Let x(l) = 153*l**3 - 10*l**2 + 8*l - 8. Calculate 8*c(i) + 3*x(i).\nAnswer: 51*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f - 5. Let p = 9 + -5. Suppose 0*r - 20 = -p*r. Let a(u) = 7*u - 4. Calculate r*k(s) - 6*a(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 24. Suppose 3*l - 5 + 14 = -4*w, -15 = -5*w + g*l. Suppose 4*c - 7*c + 357 = w. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -13*y + 1. Let n(w) = -25*w + 2. Let r(b) = -6*n(b) + 11*q(b). Let u(p) = -p. Determine r(m) + 6*u(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - -36 - (-26 + 7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -49 and -139.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 46442223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -12. Suppose -5*m + 2706 = -b, -k*m + 1799 = 2*b + 178. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -19692 - h + h**3 + 22*h - h**2 - 19662 + 3*h**2 + 39404. Give d(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(2))**2 - (sqrt(2) - (sqrt(14)\/(sqrt(35)\/sqrt(5)) - sqrt(2))**2) - (sqrt(180)\/sqrt(10) - (-1 + sqrt(6)\/sqrt(3)))**2.\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164710?\nAnswer: 2, 5, 7, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3 - 5. Let g(q) = q**2 - 7*q + 7. Let u be g(6). Let -p*a**2 + 0*a**2 + a**4 + 2*a**2 + u = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = a + 11*o + 2*o, 3*a + 4*o = -2*a + 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(931) - (sqrt(931) + sqrt(931) + -1 - sqrt(931))**2) - (2*sqrt(931) + sqrt(931) + -2)) + (1 + sqrt(931))*5 + -5 + sqrt(931)*2 + 1.\nAnswer: -35*sqrt(19) + 2799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2480 = 200*s - 446*s + 206*s for s.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -59*q - 2. What is the units digit of x(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3747 + 6621. Is 46 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 26 = -k, -2*p = p + 3. Let y(c) = -965*c - 6671. Let a be y(-7). Calculate the greatest common factor of k and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 512*246\nAnswer: 125952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380666 is divided by 13577?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 6*n**2 + 5*n**2 + 2*n)*(-12 - 1 + 2).\nAnswer: -121*n**2 - 22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**5 - l**4 + 24*l**3 - 800*l**2 - l - 1 wrt l?\nAnswer: 60*l**2 - 24*l + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:13 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, 1489, 14\/25?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -580.0000778 - -580. What is x rounded to 6 dps?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**4\/78 + 7*r**3\/39 - 198*r**2\/13 + 517*r. Factor p(z).\nAnswer: 2*(z - 11)*(z + 18)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.4 + -12. Let n = 5 + h. Let v be (2\/(-44))\/((-1)\/4). What is the closest to -2\/3 in v, 4, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4749*g**3 - 1975*g + 106462330 wrt g.\nAnswer: -14247*g**2 - 1975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 719 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 4:06 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5 - 2 + 4 - 3*j + 2*j. What is the units digit of w(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1919\/540 less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04453 + 0.0444407. What is b rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 14554*p**2 - 11959*p**2 + 16*p - 16*p.\nAnswer: 2595*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16521 - 48?\nAnswer: 16462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z - 1 - 2*z**2 - 69*z + 1.\nAnswer: -2*z**2 - 47*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 4. Suppose 0*v - k*v + 12 = 0. Solve -2*d + 3*q = 10, -v*q + 2 = -2*q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16503827 and 5128.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.595 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -266 + 4*f - 269 + 544 + 6*f**2. Let l(a) = -3*a**2 - 2*a - 4. Give 9*l(k) + 4*n(k).\nAnswer: -3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2295\/(-18))\/(-17)*-5*16\/(-100)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, k: 1, y: 1, o: 2, d: 3}. What is prob of sequence mmm?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 2001441\nAnswer: -80057.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.25. Let j = 0.05 + i. Let m be 40\/(-25) + 2 + (-38)\/20. Which is the nearest to j? (a) 0 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 2*j + 64. Let d(v) = -4*v - 1. Let f be d(-1). Suppose -2*n = p, -2*n - f*p = n. Is 16 a factor of l(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 4 + -3 + (sqrt(1331) - (sqrt(1331) + -3*(sqrt(1331) + sqrt(1331) + 5))))**2.\nAnswer: 2464*sqrt(11) + 65475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12480 and 1092.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + a + 3*a)*(-2 - 1 + 7)*(2*a + 2*a**3 - 2*a + (2*a**2 + a**2 - 6*a**2)*(5*a - 2 + 2)) to the form l*a**2 + u*a + y*a**3 + h + c*a**4 and give c.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1231 in -0.1, 21, -3, 0.5, -32?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -85*d**3 - 6*d - 6. Suppose -163*f - 202*f = -67*f + 1788. Let a(y) = -1106*y**3 - 79*y - 79. Calculate f*a(k) + 79*l(k).\nAnswer: -79*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 802476, 802474, 802472, 802470?\nAnswer: 802468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*b + 1 = -3, -2*n = 2*b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3379255*v**2 - v - 10148454.\nAnswer: -6758510*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -28, 3, -2, 19, 2, -123?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 199304422 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5}. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 31. Which is the nearest to 5? (a) 1 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6446, -12894, -19342, -25790?\n\"Answer: -6448*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 806 = 8*u - 10. Suppose 0 = -12*c + 42 + u. Suppose -585 = -c*x + 327. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/6 of a week in hours?\nAnswer: 1204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.23775967 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -132*(49677\/1044 + -47).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4504543, -9009315, -13514087, -18018859, -22523631, -27028403?\n\"Answer: -4504772*z + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 - 7*x**3 + 2*x**2 - 3 + 8978*x - 8977*x - 3*x**2 as b*x**3 + g + z*x + a*x**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-8\/5))\/h**(2\/21))**(-6\/31)\/(((h\/((h*h\/h**(1\/3)*h)\/h*h*h))\/h)**31\/(h*(h\/h**0)\/h*h)**(-6)) assuming h is positive.\nAnswer: h**(329347\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101374965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 23*j**2 - 2*j - 2*j + 639 - 5*j - 616. Let i be x(-11). Which is the closest to 0.1? (a) i (b) -1\/8 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55618193 to the nearest integer?\nAnswer: 7458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**3 - 206*f + 414. Determine m(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.64748 years to millennia.\nAnswer: 0.09264748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3 times -0.0413?\nAnswer: 0.21889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4645 + 4641. Let b(l) be the third derivative of -l**4\/4 - 7*l**3\/2 - l**2. Let z be b(w). Solve -g - 6 = -z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46*w - w + 26 - 8)*(w**3 - 4*w**3 + 4*w**3) to g*w + b + i*w**3 + s*w**2 + a*w**4 and give a.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2471 is divided by 772?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*c - 7848 - 29011 - 14386 = 851*c for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 26 = 2*p - x, 5*x = -2*p - 19. Suppose 1 - 4 = -p*f. Suppose 0 = -2*y + 3 + f. Solve -2*l + 2*z = -y, 6*l - 5*z = 7*l - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/20 - 15*x**4\/4 + 112*x**3 + 2*x**2 - 20*x + 5. Let c(z) = 0. What is z?\nAnswer: 14, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1040 + 26781. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 4*y + y**2 - 2 + 7. Let p be h(-6). Suppose 65 - p = 3*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 1\/3 (c) -0.8 (d) -54\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 11 = -19. Suppose -d*a + 21 + 15 = -4*g, 0 = 2*g + a + 10. Let v = 9 + g. What is the greatest common divisor of 8 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(1\/7)*r)**(1\/14)*(r\/(r**15*r))\/(r\/(r*r\/r**12)) assuming r is positive.\nAnswer: r**(-2519\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26849*k**4*v - 4*k**3*v + 11*k*v - 10*k - 29*v + 3 wrt k?\nAnswer: -322188*k**2*v - 24*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7034 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 12:23 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*q + 30 + 126 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(147) + -3)*3.\nAnswer: -126*sqrt(3) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532 and 7847?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:11 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 63 + 8 + (40 - 68) + -3 + 2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 5, 4, -1, 0, 163960 in ascending order.\nAnswer: -32, -1, 0, 4, 5, 163960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let d = 32 + -30. Suppose 28 + 4 = d*n - 3*q, -3*q = -4*n + 58. Let b(i) = 8*i - i + 0*i - n*i. Calculate b(y(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3705 = -2*q + 1483, 0 = 5*u + q + 2226. What is u rounded to the nearest 10?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6834 + -94555?\nAnswer: -87721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:21 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m + 20. Let l(z) = 3*z - 2. Calculate 2*l(r) + x(r).\nAnswer: -3*r + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-136) - 26\/((-1768)\/(-17)). What is the biggest value in -0.12, -2\/23, 0.5, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 14 = 4*p, -2*p = 2*p + 20. Let l(y) = -10*y**2 + y**3 + 20*y**2 - 5 - 9*y**2 - 2*y + 2. Calculate l(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 2. What is the units digit of q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 10 (b) 47\/3 (c) 14\/15 (d) -4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148596 - 148591. Let a(j) = -3*j + 12. Let z(y) = -2*y + 8. Let s(h) = 5*a(h) - 7*z(h). Give s(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2. Let x(y) be the third derivative of -y**4\/3 - 8*y**2. What is x(b(f))?\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*q - 9. Let i be 93\/2*12\/18. Let a = i + -10. Solve 2*c = -3*t + a, -c + 0 = -q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2088817cm in meters?\nAnswer: 0.002088817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 6*m**2 - m - 1. Let h be c(-6). Suppose u + 0*u - h*n = -16, -5*n = 2*u - 43. Solve 0 = 5*d - 3*a - 7, -3*a = -3*d + 6*d - u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*p + 169360, -35*p - 101627 = -32*p + x. What is p rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 18*y + 1. Let i be r(-18). Let w(f) = -26*f + 7 - 10 + i. Let x be w(-3). Calculate the highest common divisor of x and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/2)*r**7*r**(-17)\/(r*r**23) assuming r is positive.\nAnswer: r**(-67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824 is divided by 106?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 + 4*u**2 + 4*u + 3. Let s be g(-3). Let h(b) = -b**3 + 16*b**2 - 8*b - 15. Let m be h(15). What is the highest common divisor of s and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233 + -11310123304?\nAnswer: -11310123021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from {h: 3, u: 1, v: 3, k: 3, m: 1, i: 7}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/8 (b) 664 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6894896?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 3\/84137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*h + h - 5, c - 10 = -4*h. What is the third derivative of -4*a**6 + 4*a**2 - a**c + 3*a**6 wrt a?\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -724880*b**2 - 1276569*b?\nAnswer: -1449760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -24*r**2 - 545*r - 66. What is t(-24)?\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 e when four letters picked without replacement from emieccieueceeyycucy?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.022.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-1) - (47 + -40). Determine s, given that n*s**2 + 7 - 23 - 9*s + 1 - 11*s - 9 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 7, y: 1}. Give prob of picking 2 j and 1 y.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - -4 - (104 - 101)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/16 and -31\/445004?\nAnswer: 1780016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13*(-3)\/((-351)\/18). What is the third derivative of 10*o**2 - 156*o**5 + 30*o - 15*o**5 - 3*o**2 - 4*o**p wrt o?\nAnswer: -10260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.53335 * 4\nAnswer: 10.1334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 279411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/3)\/(d\/(d*d\/(d**(2\/5)*d)*d))*(d**0)**(10\/9) assuming d is positive.\nAnswer: d**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4)*l\/(((l**(-9)\/l)\/l)\/l))**21 assuming l is positive.\nAnswer: l**(1155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + -4*(2*sqrt(28) - sqrt(28)))\/(-1*sqrt(20)\/sqrt(5)) + 1*(-5*sqrt(5040))\/sqrt(5).\nAnswer: -57*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, w: 7}. What is prob of sequence wzz?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 3*y - 4. Let j be v(4). Let w = j - -39. What is the units digit of w*6*8\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.4 (b) 3 (c) -5\/9 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-14)*(q*q\/(q*(q*q**14*q)\/q)*q)\/q*(q*q\/q**(-2\/29))\/(q*q**24) assuming q is positive.\nAnswer: q**(-1477\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 6 - 48 = 0. Solve 0 = -5*j, -3*n - 4*j + f*j + 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5133434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1335 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4 - 0, -5*s = -4*b + 97. Let n be -3 - -3 - 2\/s. Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-36))\/(-5)*(-3)\/10\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1153197 by 81.\nAnswer: 14237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.0711 + 0.1189. Let i = -0.19 + c. Which is smaller: -0.1 or i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -3*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -170, 2, 1, -2, 270, 3 in decreasing order.\nAnswer: 270, 3, 2, 1, -2, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 94*f - 1203. What is h(13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 303637058 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 27 = 3*a, 7*v - 8*v = -2*a + 18. Solve 65*n = 68*n + a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 - -75. Suppose -6*d - 3*v - 4 = -5*d, -4*v - 12 = r. Solve 0 = -d*b + 1 - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*y**5 + 10*y**3 - 293*y - 2 wrt y.\nAnswer: 620*y**3 + 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -43 + 25. Suppose -16 - 8 = -s*a. Suppose 4*r + 21 = -5*p + 73, 2*p - a*r - 4 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 485, 534, 581, 626, 669, 710, 749?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44289 + -5 - (-54)\/(-45)*-5.\nAnswer: 2, 5, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -339*u + 6. Let s be r(-3). Let h = s - 546. Suppose -3*l + 3*d = -h, 27 - 178 = -l + 5*d. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/81 + (-60)\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1172 - 2334 = 4*y, 0 = a + 5*y - 678. Let r = a - 414. Let l = -52 + r. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 40*d + 183. Calculate y(-6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5097, -53.\nAnswer: -5097, -53, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 1 - 1)*(-384*q - 36637 + 36637)*(1 - 4 + 1).\nAnswer: 1536*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 440*x + 5760.\nAnswer: 5*(x - 72)*(x - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/112)\/(36\/42)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1298\/13 + -100. Suppose 12 = -4*p, -5*t + p + 2*p = -29. Which is the second biggest value? (a) d (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10.4, -44 in descending order.\nAnswer: 10.4, 5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2160921662.\nAnswer: 2, 1080460831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (8 + -4)) + 0 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(735))\/(sqrt(243) - (sqrt(243)*-1 - sqrt(243)) - sqrt(243)) + -1 + sqrt(50)\/(sqrt(10)*2)*6 + -4.\nAnswer: -5 + 25*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 25845980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 3*c**3 + 4 - 32*c**2 - c**3 + 25*c + 67*c**2 - 32*c**2 to k*c**3 + p*c + a + l*c**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 11 = 34. Suppose 11 = 3*b - 2*j, -6*b - 2*j = -b - s. Suppose -5*q - 2*q = -b. Solve c - q = -6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129 + -137.9. Let s = 8.719 + 0.281. Let q = z + s. What is the nearest to q in -1\/5, -5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from {o: 1, e: 1, t: 2, q: 1, a: 1, h: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*x - 17, -4*l - 5*x + 5 = -2. Let i = l + -2. Let v be (-16)\/(-10)*(-10)\/i. Solve 3*q - v*q = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 270 - 2968\/11. Let q = -3.6 + -3.4. Which is the second smallest value? (a) 3 (b) q (c) m (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 193158 and 18834?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 10:10 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/168)\/(33\/44)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -32, 3 in increasing order.\nAnswer: -32, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483 = 68*y - 7 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.36 times -1.37?\nAnswer: 142.9732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38861?\nAnswer: 38861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(4\/6)\/((-11)\/110)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.5 - 20. Let c be 24*(-15)\/(-6)*28\/105. What is the nearest to c in j, -1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 13*n = 55. Suppose 0 = -2*h + 2*t + 376, -h = -n*t - 141 - 67. Do 184 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 + 1\/2)*10\/(-45))\/(136\/17952)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.422 - -3.578. Let m be (-30)\/8*1\/(-3). Which is the fourth biggest value? (a) 2.4 (b) o (c) m (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t**4 + 60*t**3 + 278*t**2 - 84*t = 0.\nAnswer: -3, 0, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + t**2 - t. What is g(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(30)\/(sqrt(10) - 6*sqrt(10)) - 2*(sqrt(363))**2*-6.\nAnswer: -6*sqrt(3)\/5 + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + -2*(sqrt(468) - 3*(sqrt(468) + sqrt(468) + 3))*3))**2.\nAnswer: 522000*sqrt(13) + 10614100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823156784?\nAnswer: 2, 51447299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278456 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1885641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*k + 6*k - 8. Let t be 2\/k - 30\/(-3). Let s(j) = j**2 + j - 3. Let f be s(-4). Does t = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5699973?\nAnswer: 3, 139, 13669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 81*m**2 + 6*m - 9. Let a be r(2). Suppose 5*x - 4*v - a = 0, -3*x + 4*v - 303 = -8*x. Calculate the remainder when x is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -62*d - 2. Let z be g(2). Let r = 260 + z. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 + 886*k + 5 - 886*k - 3*k**2 - k**4 to the form m*k**4 + r*k**2 + j + v*k**3 + b*k and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 13.6. What is the nearest to -40 in 3, -3\/8, s?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/106600 and 73\/1600.\nAnswer: 852800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. Let g = 76801\/5 - 15357. Is b >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -17*m + 3. Let l(k) = -202*k + 34. Let b(x) = -5*l(x) + 60*v(x). Let y(g) = -7*g + 7. Suppose -4*s + 10 = -2*s. Give s*b(n) - 7*y(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198562 by -2182.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47.48 + 48. Let a = i - -2.44. Round a to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q. Let m(c) = 5*c - 47 + 47. What is f(m(d))?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1156 (base 7) in base 11?\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 2147418?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79\/5 - -16. Let g(i) = i + 13. Let m be g(-14). Which is the biggest value? (a) -3 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 42*j + 1866. Determine z(69).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepppepippeppeeeeep. What is prob of picking 1 e and 1 i?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4432080 by 12520.\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqm when three letters picked without replacement from fffqfmq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.90301 + 0.09699. Which is the third smallest value? (a) -21 (b) q (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 262 + -134. Let w = 87.9 - m. Let l = w + 40. What is the nearest to l in 2\/7, -5, 3\/8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 464 and 18.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 12*a + 48 = 15*a, -3*c + 5*a - 69 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1))**(29\/5)*(((g**(1\/3)\/g)\/g)\/g)**(4\/9) assuming g is positive.\nAnswer: g**(1406\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 227865 to the power of 1\/2, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**2 + 4342*c + 8658. Give q(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 23 = v, 5*v = 3*s - 0*v - 4. Let h = -4 - s. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(0 + (-3)\/9). Let z(d) be the first derivative of 5*d**4\/24 - d**3\/6 - d**2\/2 - 8. Let a(g) be the second derivative of z(g). Give a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 8990*c**3 - 5*c - 8988*c**3 + 28*c to the form a*c**3 + f*c + b*c**2 + v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/12 (b) -1\/9 (c) 0.1 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 1 + 3*d + 0*d**3 - 7*d - d**3. Let k(s) = 5*s**3 - s**2 + 6*s - 8. Suppose 13 = -3*i + 5*i - 3*j, 2*j + 8 = 2*i. Give i*k(h) - 6*q(h).\nAnswer: h**3 + h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d + 2*d)*(-4 + 3 + 0) + 29 - 45*d + 51*d - 20.\nAnswer: 5*d + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 430231?\nAnswer: 1\/430231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 5. Let v = -43 - -49. What is o(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 953 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2285, -2296, -2321, -2366, -2437, -2540, -2681, -2866?\nAnswer: -3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(30\/1170*-26)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 850 = -2*m. Suppose 7*a - 69 = 169. Suppose q - a = -q. Calculate the highest common factor of m and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59593, -59594, -59597, -59602, -59609?\nAnswer: -59618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 4:29 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1302350\nAnswer: -1\/651175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one fifths of a meter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -26*z**2 - 15*z + 11. Determine d(2).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, m: 1, s: 2, q: 1}. What is prob of picking 1 q and 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2077, 5.1, 0, -10, -4 in ascending order.\nAnswer: -10, -4, 0, 2\/2077, 5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 377.3517111?\nAnswer: -377.0517111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2353*z + 113248. What is s(48)?\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pryrarpcrpcarrppp. What is prob of sequence ppry?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 52982 and 52980 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54.76 + -20.24. Which is greater: -13\/5 or s?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-35) - (-50)\/182. Which is the second biggest value? (a) 0.02 (b) 1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/155 in -2, 9, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k + 0*k)*(-1 + 1 - k**4) - 4*k**5 + 2*k**5 + 0*k**5 - 2 + 2 - k**5 - k + 2*k**5 + k**5 - 5*k**5.\nAnswer: -6*k**5 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 290199197*g**2 - 451985601*g wrt g.\nAnswer: 580398394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*3*(-10)\/60.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - r**2 + (2*r + 3 - 3)*(-5*r + 3*r + 4*r))*(-366 + 5 + 178 - r) in the form b*r**3 + w + n*r**2 + u*r and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) -93 (c) 5 (d) -4 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -71*f - 20. Give j(1).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1637024 by 204628.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.05, 8, 0.1, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.23 (b) -1.65 (c) 36\/5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61841*f**6 - 7582*f**2 - 2?\nAnswer: 7420920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4225 and 5200?\nAnswer: 67600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 78101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -66?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*7\/(-63) - 91\/(-42)*1886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-4))\/(129\/1462) - 6. Suppose 2 = -5*k + 7*k, -2*h - 4*k = -1038. Calculate the highest common divisor of h and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -21, -31, -41, -51, -61?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*g - 13*g - 8*g = 202711. What are the prime factors of g?\nAnswer: 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/12 and -23\/24430.\nAnswer: 146580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 4.3. Let g be (2 + 0)*(-1)\/(-2). Let q be (4\/(-8))\/(g\/(-2)). What is the nearest to q in a, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1644 = y + 571, -5*y = 3*k - 5281. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*4*(sqrt(27) + -1)**2 - (-1 + (-1 + sqrt(108) + sqrt(108))*-1)**2).\nAnswer: -876 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*l + 1, 4 = l + 4*p - 2*p. Let r(g) = g - 1. What is r(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l - 41. Let u be b(-8). Let f = -35.4 - -31. Is u != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (68\/(-9))\/4. Let w = p + 1\/18. Let x = 2.2 - 2.1. What is the closest to -2 in x, 4, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23981, -95874, -215697, -383450, -599133, -862746, -1174289?\n\"Answer: -23965*l**2 + 2*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*t - 197*t + 19957 = -11763 for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -0.069, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 1:49 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 170.\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(2\/((-4)\/1)) - -31. Solve 31*w = 24*w - m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, m: 6, c: 1, a: 1, w: 3}. What is prob of sequence am?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 7*d + 3. Let w(c) = -15*c + 2683*c**2 - 6 - 1343*c**2 - 1344*c**2. Calculate -13*j(t) - 6*w(t).\nAnswer: -2*t**2 - t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b1934 + -3?\nAnswer: -b1937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -12. Let b(s) = 6*s. Let l(y) = y. Let j(u) = z*b(u) + 14*l(u). Let q(n) = -n**2. Calculate j(q(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*t + 2*t. Let q = 36 - 11. What is the remainder when q is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(132\/(-27))*((-392)\/21)\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562158 is divided by 988.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 409437 + -879533. Let i be (m\/24 - -4)\/((-2)\/624). Round i to the nearest one hundred thousand.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*t**3 - 11*t**3 - 7*t**3 + 2*t**2 as g*t + m + s*t**2 + v*t**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2\/4 + 27*a\/4 - 900 = 0?\nAnswer: -75, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 367\/31494 or 0?\nAnswer: 367\/31494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 687 + -1009. Sort o, 5, -0.3 in increasing order.\nAnswer: o, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 217448 - -3795. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27260, -27123, -26964, -26771, -26532, -26235, -25868, -25419?\nAnswer: -24876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 4)*(2*f - 4*f + 0*f)*(75 - 38 + 48) in the form g*f + l and give g.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -172012*w + 291161 wrt w?\nAnswer: -172012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + b - 18699 + 18715 = 0, 2*k - 62 = 4*b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -3)*(-1 + 2). Suppose -2*j + m*j = 9. Let h = -4 + j. Is 0 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218818763 - 0.5\nAnswer: 218818762.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10143 + -10140. What is the closest to -0.27 in 2, -3\/4, l, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 6\/(-4))*8. Let q(l) = l + 22. Let v be q(-18). Is v bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u + 0*u - u + 0 + 1207*u + 23 - 1205*u + u - u - u + (0*u + 0*u - 2*u)*(-2 - 1 + 4) - 4*u + u - u.\nAnswer: -2*u + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*m**3 - 36*m + 36*m)*(-2 + 2 + 1) - m**3 + m**3 - 4*m**3)*(-1 + 0 - 1 + 3*m) to the form i*m**2 + r*m**3 + c*m**4 + n*m + z and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:32 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4244 (base 5) to base 15.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**4\/6 - 3*i**2\/2 - 2*i - 1. Let q(c) be the first derivative of v(c). What is the first derivative of q(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.3. Let z = 19 - 11. Suppose 5*n + 5*m = -10, -5*n + 4*m + z = 3*m. Which is the closest to n? (a) -4 (b) 3\/8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.9 + -33. Let f = -12.2 - m. Which is the third biggest value? (a) -4 (b) 3\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*k + 38 = -2*i, -k - 662 = 3*i - 640 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(11)*5) + 1*sqrt(114)\/sqrt(6) - -5*3*(3*sqrt(171) + sqrt(171) + sqrt(171)))**2.\nAnswer: 24304059\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111598559*l**4 - 39480651*l**2?\nAnswer: 2678365416*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*b - 2. Let v(n) = n**3 - 16*n**2 - 2. Let r be v(16). Let t be (-3)\/(-6)*(-1)\/r. Which is greater: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -39. Let l = -15 + u. Which is the closest to 0.2? (a) l (b) 0 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210*y**5 - 27*y**2 - 9?\nAnswer: -12600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 9948. Let c(o) = 36*o + 2. What is s(c(q))?\nAnswer: -108*q + 9942","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 13*w - 1)*((3*w - 2*w + 2*w)*(-4*w**2 + 6*w**2 - 3*w**2) - w**3 + 0*w**3 + 2*w**3) as s*w**3 + h*w**4 + x*w**2 + m + f*w and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -46*3.74\nAnswer: -172.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**5\/3 + 10210*z**4\/3 + 30602*z**3 - 30628*z**2\/3 - 255007*z\/3 + 61206 = 0.\nAnswer: -10201, -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 196*p**2*s**3 - 8*p**2 + 3*p*s + 741*s**3 wrt p?\nAnswer: 392*s**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -babc + 6?\nAnswer: -bab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let m(a) = 124*a - a**2 + 0*a**2 - 124*a. Calculate m(c(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l - 436. Determine q(62).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 23\/2, 5.52, -4, -9 in decreasing order.\nAnswer: 23\/2, 5.52, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12*v**4 - 66*v**3 + 27*v**2. Let w(d) = -d**4 + 5*d**3 - 2*d**2. Let s(c) = -2*h(c) - 27*w(c). Determine x so that s(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -1565748?\nAnswer: 782874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10 - 32 - 5*v + 9*v - v. Calculate the remainder when 214 is divided by z(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 + 249 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -43)*(147\/(-14) + 11). Solve 10 = q*r - 56 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 8. Is 1 - (-39 + t + 0) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/757353 and -29\/88699.\nAnswer: 9845589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 11. Let a(l) = -l - 2*l + n*l + l. Is a(4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**2 + 160*s + 165 = 0.\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 = -r - 19, 30 = 4*i + 3*r. Suppose -i + 0 = -b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 1.03?\nAnswer: 9.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 138*r + 807. Determine j(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-38944)\/(-26) + 46\/299.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -5*b - 3*p + 15, 3*b - 4*p = 9. Suppose -4*y = 4*g - 60, -5*g - 13 = -2*y - 53. Suppose -4*x = x - g. Which is greater: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11431*y = -11924*y - 29497 - 21282 for y.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3189*g - 108 = -3225*g. Solve g*a - 24 = -6 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -27*d - 2341. Calculate c(-89).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 304*s**2 + 1527*s + 5572. Determine m(309).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 489958587 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*h + 2*i, -2*h - i - 703 = -692 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -152, -143, -132, -119, -104, -87?\n\"Answer: a**2 + 6*a - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1694\/(-1716) - 5\/6*-1. What is the biggest value in p, -3, 13, 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 0*w + 0*w - 11 = 2*z + 3*w, -5*z + 28*w + 35 = 110 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.5 (b) 1 (c) -126304\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 148625594 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*t + 14*t + 2*w + 139, -11*t - 24*t - 4*w - 28 = -31*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45491659 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/752608 and -1\/4640.\nAnswer: 3763040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/((1\/1)\/(-2)). Let u(y) = -2*y**2 + 13*y - 1. Let z be u(5). Suppose z*a - 11*a - t = 0. What is the lowest common multiple of a and 23?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - 99. Determine r, given that -7615*r**3 - 36*r - 35*r**2 + w*r + 5*r**4 + 7615*r**3 = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3001121 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 415993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105*d*g**4 - 55316*d*g**3 - 15692*d*g**2 + 178*d*g - 2*g**4 + 5*g wrt g?\nAnswer: 2520*d*g - 331896*d - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + t - 3. Let g be u(-2). Calculate the remainder when -42*1*g\/(-3) is divided by ((-22)\/(-8))\/((-2)\/(-8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (238\/(-28) - 9)\/(1\/(-2)). Suppose -31 = -g*k + 109. Solve 5*l = 4*n - 2, n + 1 = k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*q + 17*q + 16*q - 16*q.\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 2*u + 11. Is 13 a factor of c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -145338381*l**4 - 197*l**2 + 473464*l wrt l?\nAnswer: -3488121144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1630)\/(-55) - (-6 + 36).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 - -101. Put x, -5, 0.2 in increasing order.\nAnswer: x, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 1abba?\nAnswer: 1abb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -288*v**2 + 5*v + 22. Let g(h) = -576*h**2 + 11*h + 45. Calculate -5*g(o) + 11*k(o).\nAnswer: -288*o**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4 - 334975*n**3 + 7480773345*n**2 - 55694356660285*n + 111358792906910 = 0 for n.\nAnswer: 2, 22331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v. Let o be k(5). Suppose 4*i - n - o = 0, -5*i + 38 = -5*n + 13. Suppose 2*m + 2*m - 16 = -3*h, -h = i. Solve 0 = j - 2 + m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.3812091 rounded to 0 decimal places?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x + 0 + 0)*(x**2 - 2*x**2 + 3*x**2) + 2*x**3 - 5*x**2 + 7*x**2 - 4*x**3)*(-2 - 1 + 2)*(2*x - x + x)*(0*x - 2*x + 5*x).\nAnswer: -24*x**5 - 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - g - 19 = 0, -2*g = -5*p - 7*g + 5. Suppose -p*v - v = -25. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 135\/571534?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from ytcyhmy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -5 (c) -822 (d) 3\/5 (e) -0.75 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055 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: Does 35 divide 1797145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -85, -83, 2 in decreasing order.\nAnswer: 5, 2, -5, -83, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/8))**(7\/3))**(-4) assuming t is positive.\nAnswer: t**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**3)**(-2\/7)\/((h*h\/(h\/h**(6\/11)))\/((h\/h**(-3\/16))\/h)))**(8\/5))**(-47) assuming h is positive.\nAnswer: h**(144807\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-74)\/(-185) + 26\/10. Let h(s) = -5 + 2 + s + 8*s. List the prime factors of h(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1095 + 66 - 282*z + 5466 + 3*z**2.\nAnswer: 3*(z - 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*x = -31, 3*x = -3*k - 2*x - 16. Suppose -k = -4*q + 1. Put q, 2, -3 in ascending order.\nAnswer: -3, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*v - 11*v + 29*v)*(-12 + 5 - 2)*(3 + 2 - 6) to the form q + f*v and give f.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/7 - 3*n**3 + 23*n**2\/7 + 3*n - 22\/7.\nAnswer: -(n - 1)**2*(n + 1)*(n + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1513325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10\/29 + 32\/261. Let y = 6 + 0. Let x = y - 4. Put o, -0.1, x in increasing order.\nAnswer: o, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 16*q + 64. Let w be p(10). Sort 1, -3, w, -6.\nAnswer: -6, -3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 21*b - 4*b + 4*b. Let o(x) = -2*x**2. What is w(o(p))?\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -38*w + 3 - 3 + 3 + 37*w. What is the units digit of i(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2142595 + 0.2135. What is c rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 15, -294, -4\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/146)\/((-25)\/(-50)). Let l = w + 222\/1387. Let c = 0.32 - 0.12. What is the closest to -1\/3 in l, c, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygyy when four letters picked without replacement from yggygygygyyggy.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(144)\/sqrt(8) + 1 + (sqrt(320)\/sqrt(10) - (sqrt(2) - sqrt(504)\/sqrt(7))).\nAnswer: 6 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 213?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2716 - 2759 - 80\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*u + 4. Let v(o) = -5499999*o**2 + o - 2. Let c be v(u). Round c to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**2 + 71110983*z - 28444394 = 0?\nAnswer: -14222197, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from mvsvksscvsvcsvcva?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3809 + -4 + (12 + -3)\/(-3). Suppose -n = n - s. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 22*d - 26*d. Let k be (36\/(-24))\/(d\/(-4)). Let t be 36\/63*(-1)\/k. Are -0.45 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -861 - 744 = 3*i. Let u be (1\/(-47))\/((-1)\/(-25147)). Let f = u - i. Is f bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13084a2 - -5?\nAnswer: 13084a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -178 - -183. Suppose q = -2*z + 31. Solve x + 8 = z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1978*x + 34 = 2012*x. Sort -2, x, 0, -7 in increasing order.\nAnswer: -7, -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 808.189ml in litres?\nAnswer: 0.808189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6970 - 274?\nAnswer: 66a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - b - 149, -b = v - 27 - 4. Let w = 215 - 140. Calculate the highest common divisor of v and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (-20 + (58 - 89)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s = -85*s + 124. Let u(n) be the third derivative of -1\/30*n**5 + 0*n**3 + 0 + 7*n**s + 0*n + 0*n**4. Let v(i) = -8*i**2. Determine u(v(l)).\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(8211\/180) + (40\/(-28))\/5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2241.2 - 2241. Let v = -1 - -1. Let n = v + 0.1. Which is the closest to h? (a) n (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 6. Calculate v(8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 30624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.81 - -0.638. Let p = -0.09 - c. Round p to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/7 - (-16)\/(-56). Let q = -4 + j. What is the common denominator of q\/(-2) + 189\/35 and 91\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -24.4, -12, 48, -0.5, 3 in decreasing order.\nAnswer: 48, 4, 3, -0.5, -12, -24.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, w: 15}. Give prob of sequence ww.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*(-80)\/3360*(-29)\/(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 5251.\nAnswer: 5251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28000 and 11900?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4, -2\/13, 3.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.22 - 9.78. Let l = -0.04 + -10.96. Let g = f - l. Which is the closest to -2\/5? (a) g (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - 40) + (-3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37419921 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -c + 2*x + 191, -2*x = c - 304. Suppose 5*h = 3*b + 742, -4*b - c = -2*h - 0*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuczbvbezcezzvuc. What is prob of picking 1 v and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*h - 10*h + 120. Let s be (h\/7)\/3*(7 - 14). Let q be (-8)\/(-2) + 1 + -1. Solve s*f + 33 = 4*k, -f - 3 = -k + q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 63*o**2 - 3*o - 1. Suppose -68 = -2*a + 5*t, -3*a + 34 = -2*a + t. Suppose 0 = k + a - 33. What are the prime factors of v(k)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 730.2579 weeks?\nAnswer: 441659977920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 1, -373, -4 in descending order.\nAnswer: 4, 1, -3, -4, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1700 divided by -425\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2750, 4, 0.23, 2\/5, -92?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 2*c + c - 2*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 34 + 30 - 95 - m**3 + 8*m**2 + 33. Let j be k(8). Suppose -4*g = -3*x - 6, 3*x + j*g - 3 = 3*g. Solve -s - x + 0 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 - 66265*l**2\/4 - 1459811*l + 2985885.\nAnswer: (l - 66353)*(l - 2)*(l + 90)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 8*h**2 - 11*h + 2. Let r be o(-6). Let a be (-1 + -5 - r)*-1. Solve d = -2*g - 10, 5*d + a*g = -3*g - 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40319201 divided by -4.\nAnswer: -40319201\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19407.99968172 - -19408. Round c to six decimal places.\nAnswer: 0.000318","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 385 - 363. Calculate the remainder when 26 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*s - 5*y + 125, 0 = 3*s - 4*y + 81. Let n = 81 + s. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 324*x - 163*x - 161*x + 0*x**3 - 203.\nAnswer: -x**3 - 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -66*c + 34. Let a be k(5). Let l = a - -302. Calculate the remainder when 18 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17700 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -425*w**2 + 74*w + 67. Determine d(-1).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*o**5 + 67*o**5 + 1946*o - 1 - 887*o wrt o?\nAnswer: 3060*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450 (base 12) in base 8?\nAnswer: -4474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((7 - -17) + -18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -6 + (-6 - 0) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + q - 4 = 0, -4*l - 5*q + 0*q + 14 = 0. Let p(t) = 2 - 1 - 9 + t. Determine p(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1169*j. Let n(z) be the second derivative of z**3\/3 - 294*z. Give n(a(k)).\nAnswer: 2338*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 0*g - 6958365*g**3 + 13916556*g**3 - 6958190*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-3)*6\/(-9). Suppose -h*k = k - 6. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1228*u - 11042. What is the least common multiple of g(9) and 1215?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a hour in seconds?\nAnswer: 47700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or -4255?\nAnswer: -4255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.21 - -3.79. What is the nearest to 1\/2 in 0.5, p, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-12)\/9)*1\/2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-15))\/((-2)\/(-80))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143663584667989\/473243148 + -539747883\/1778. Let n = s - 275\/124. Let z = -425003\/17172 - n. What is the common denominator of z and -93\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -8 + 15*j**4 + 128\/9*j**3 + 0*j + 8\/3*j**2 - 108\/5*j**5. Solve u(b) = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**4\/7 + 1368*x**3\/7 - 3792*x**2 + 168192*x\/7 - 334848\/7 = 0.\nAnswer: 4, 8, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -92. Let i be l*(-4)\/(-3) - (-635)\/15. Suppose m + i = 181. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiaba. What is prob of sequence aa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14786521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*a - 213 - 14 - 8 = 0. Solve -10 = k + 3*n, -a*k + 14*n + 6 = 15*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 573*i - 8. Let t be x(1). Suppose 4*y + t = 2537. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-42)\/147*1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44490\/653 or 68?\nAnswer: 44490\/653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3 - i - i + 3. Let w(z) = 9*z**2 - 2*z + 4. Let j(f) = -f**2 + f - 2. Let c(p) = -2*j(p) - w(p). What is k(c(h))?\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 4*f**7\/63 - 43*f**6\/225 + 13*f**5\/75 - f**4\/30 - 498*f. Suppose p(q) = 0. What is q?\nAnswer: 0, 3\/20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sscy when four letters picked without replacement from {v: 1, y: 1, s: 2, l: 2, w: 1, c: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 37*x**2. Let m(t) = -2*t + 4. Let p(z) = z**2 - 6*z - 5. Let o be p(4). Let v be m(o). Let c(s) = 2*s + 30 - v. Give c(w(b)).\nAnswer: 74*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/4 + 83*m**4\/4 + 564*m**3 + 5040*m**2 = 0. Calculate m.\nAnswer: -35, -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -4*m. Suppose 0 = m*t + 9 + 1. Let v = 32\/25 - -4\/75. Which is the closest to -4? (a) 0.5 (b) t (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 8*l - 304. Determine k(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(17) + -1 + 2 + 0 + sqrt(1700) + sqrt(1700) - (5*(sqrt(17) + 1) - (3 + sqrt(17) + 0))))**2.\nAnswer: -136*sqrt(17) + 19656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631 = 8*n - 647. Suppose -13*f + n*f = -11583. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 31?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-16))\/(7\/(-28))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*s - 2, -7*l = -4*s - 3*l - 16. Let j be (-14)\/(-126) - 44\/s. Solve -2*d - j*b = 3*d + 25, 3*d = b + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -27. Solve -3*z + 1 = -i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*1\/((-5)\/(-40)). Suppose -y*d + 142 + 10 = 0. Calculate the highest common divisor of 304 and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 54 + 15\/2*b**2 - 40\/3*b**3 + 3*b. What is the second derivative of w(i) wrt i?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10021002 (base 3) to base 12.\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 9 - -3) + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from {r: 2, s: 1, k: 1, q: 2, n: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*o**3 + 115*o - 115*o + 312*o**3.\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-1) + 2*2. Suppose 0 = 3*t - c - 17. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -261 and -0.164795025538.\nAnswer: -261.164795025538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 518, 806, 1094, 1382, 1670, 1958?\n\"Answer: 288*y + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5154, 5134, 5108, 5076, 5038?\n\"Answer: -3*k**2 - 11*k + 5168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2358960?\nAnswer: 2, 3, 5, 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 228\/7 - 33. Which is the closest to 9\/4? (a) f (b) 4\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1152 and 148496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 134.\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 0*z**4 + z**4 + (2*z**2 - 2*z**2 - z**2)*(4*z**2 - 5*z**2 + 2*z**2) + (0 - z + 0)*(-1 + 1 + 4*z**3).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1438 and 14.\nAnswer: -20132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2)\/p**(5\/6)*(p*p**(1\/8))\/p**(2\/17))**19 assuming p is positive.\nAnswer: p**(-2527\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 24180.58 to the nearest 100.\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*j = 118*j - 35*j - 108 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(0 - v**4 + 0) - 2*v**4 - 7*v**4 + 0*v**4 - 40*v**2 - 102*v**4 + 40*v**2 + (-v**2 + v**2 - v**2)*(4*v**2 - v**2 - 5*v**2).\nAnswer: -110*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 169.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, -0.05, -0.2 in decreasing order.\nAnswer: 10, -0.05, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10772\/5*f - 4\/5*f**2 - 10768\/5.\nAnswer: -4*(f - 2692)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -715. Let n = 11441\/16 - z. What is the common denominator of n and -89\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, -1\/5, 0.1, -0.3, -217?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 3*r. Let q be (7\/(-7) - -6) + -1. Let u(a) = -36*a**2 + 3*a. Let d(i) = q*o(i) + u(i). Find the second derivative of d(j) wrt j.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -105 - 12?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-10))\/(((-108)\/(-30))\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -21. Let o = l + -6. Solve -o*i = -2*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*b**3 - 6017*a*b**2 - 3036421*a*b - a + 3*b**3 + 180*b**2 - b wrt b?\nAnswer: 12*a*b - 12034*a + 18*b + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:15 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3325, -26596, -89757, -212752, -415525, -718020?\nAnswer: -1140181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.2405 times 0.01?\nAnswer: -0.072405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - (5 - (15 + -12 + 19)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 14589 = -7*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 2, 4, 0.04, -1\/2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532631509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + 10cbed6?\nAnswer: 10cbeca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6824*r = -6648*r - 176 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3770 + 3765 - (-1 - (37 - ((0 - -2) + -1)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 808, 5837, 19490, 46081, 89924, 155333?\n\"Answer: 719*s**3 - 2*s**2 + 2*s + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v + 24. Suppose v*p - 34 = 3126. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 7*a**3 - 43*a**3 + (2*a**2 + a**2 - 2*a**2)*(0*a - a - 3*a) to x*a + u*a**2 + g + c*a**3 and give c.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 15, k: 4}. What is prob of picking 3 a?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117 - 85) + (46 - 45) + (-1 - -6 - -2).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274117, -548233, -822349, -1096465?\nAnswer: -1370581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 278.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 + -3096948035.\nAnswer: -3096948033.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(30) - sqrt(1080)*4)\/sqrt(2))\/(4*(-1*sqrt(5)*-4 + sqrt(10)\/sqrt(2)*2)).\nAnswer: 23*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7348)\/(-72) - (-7)\/42. Let m = q - 102. Which is the fourth biggest value? (a) 2 (b) -4 (c) -0.1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-1\/4))**(-1\/5)\/((x*((x*x**(1\/4)\/x*x)\/x)\/x)\/x)**(1\/50)*(x*x**(-6)*x\/x**(1\/3))\/(x**7\/(x\/x**(2\/7))) assuming x is positive.\nAnswer: x**(-46427\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/25)\/(3 - (-1671)\/(-555)). Suppose -4*s + 172 = -5*l + 36, 2*l = s - q. What is the remainder when 115 is divided by s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w - 4*w + w)*(21*w**3 + 15*w**3 - 9*w**3) + 11*w**4 + 5*w**4 - 5*w**4 to b*w**2 + q*w**3 + u + t*w**4 + l*w and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -37, -209, -4, -5 in decreasing order.\nAnswer: 3, -4, -5, -37, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4 + 1 - 3 + v**2 - 3*v. Suppose -x = -4, -2*w + 2*x + 8 + 0 = 0. Suppose i + 3*i = w. Determine d(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1851 - -1857)\/((-3)\/4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) + (-117)\/18. Let k(c) = c**2 + 9*c + 17. Let o be k(j). Let x = -3 + 5. Solve -5*t - 6 = x*i, -3*i = o*t - 4*t - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 868.9822\nAnswer: 868.5822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*n, -3*o + n + 7 = 1. What is the second derivative of 3*c - 15*c**3 + 0*c + 22*c**o wrt c?\nAnswer: 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02267168 and 5.\nAnswer: 0.1133584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11101677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 91103043 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: Suppose -7 = d + 2. Let i(l) = -5*l**3 + 6*l. Let z(j) = -11*j**3 + 13*j. Let v(f) = d*i(f) + 4*z(f). Determine v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356165839163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 1, o: 1, g: 4, w: 1}. Give prob of picking 1 o, 2 g, and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + 2 + (0 + sqrt(98))**2*6.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -8. Let h be 1 + (29 + -1 - 0). Let k = -27 + h. Solve 5*d - d + 16 = p*w, 4*w = k*d + 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4536*t + 15. Let s(j) = 647*j - 2. What is 15*s(b) + 2*u(b)?\nAnswer: 633*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from {b: 1, z: 1, l: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50148*a**2*u**6 - 3*a**2 - 15*u**6 - 18865*u**2 wrt u?\nAnswer: 6017760*a**2*u**3 - 1800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 3 - 2 + 12)*(3*x - x - 4*x)*(4 - 4 + 2*x)*(7*x + 18*x - 7*x).\nAnswer: -2736*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + ((sqrt(76) + -2 + -4 + 5)*-2*-2)**2) + 2.\nAnswer: -256*sqrt(19) + 4914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -42*(-1 - 4\/(-6)). Suppose 0 = -11*p + 4*p + o. Suppose -2 = -p*t, -t + 470 = -4*f + t. Round f to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -78, -147, -216, -285, -354, -423?\n\"Answer: -69*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - (-3 - -5) - (-1458 - -1434).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 77.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 2. Let q(s) = -4*s. Let r(i) = -2*q(i) + 3*v(i). Determine r(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 10:10 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -46158, -369302, -1246400, -2954430, -5770370, -9971198, -15833892, -23635430?\n\"Answer: -46163*r**3 + r**2 - 6*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**9\/1512 - n**5\/60 + 4*n**3\/3 + 5*n**2. Let k(d) be the first derivative of z(d). Find the second derivative of k(x) wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfzazdaze. Give prob of sequence za.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 92301?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 46563\nAnswer: 186252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 10:46 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1798 - 1797.998835. What is c rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -249, 1, -4 in increasing order.\nAnswer: -249, -4, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5630 = 4*p + 1818. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12848?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 u when three letters picked without replacement from {k: 3, z: 4, u: 7, j: 2, c: 3}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*z + 25*z - 16 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2163)\/84 - (-2)\/(-8). List the prime factors of (o\/(-39))\/((-2)\/(-171)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*3*sqrt(1088) + sqrt(1088) - -6*-2*sqrt(1088))*6)**2.\nAnswer: 238298112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of ((-50)\/(-6))\/(124\/22692)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6247.\nAnswer: 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3*i - 0*b + 9, -5*i - 3*b + 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3471 - -0.1471. Suppose 2*o - 32 = -2*f - o, f + 10 = 5*o. Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 - 92. Let v = -0.02 + 0.82. Let z = v + 0.2. What is the closest to z in c, -0.4, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 - -107. Let a(r) = r**3 - r**2 - 3*r + 16. What is the remainder when t is divided by a(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1093529, -2187061, -3280593?\nAnswer: -4374125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 10 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -44. Sort -0.2, -237, -0.1, c, -4.\nAnswer: -237, -4, c, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -7*u + 23, u - h + 69 - 141 = -70 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -651, -1481, -2651, -4161, -6011, -8201?\nAnswer: -10731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3954, 3687, 3282, 2775, 2202, 1599, 1002?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 3. Let r be o(0). Let c be (166\/3)\/(2\/r). Let n = c - 497\/6. Is n not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1 (c) -1121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 less than -1882\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -30, -114 in ascending order.\nAnswer: -114, -30, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 35 = 3*y, -5*f + y = -3*y - 36. Let s = -6 + f. What are the prime factors of s\/4 + (-113)\/(-2)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -27*z**2. Let n(o) = -1069*o**2. What is l(n(k))?\nAnswer: -30854547*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1271\/41 + 1\/((-24)\/(-28) + -1). Calculate the greatest common divisor of p and 4976.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1189, -2215, -3241, -4267, -5293?\n\"Answer: -1026*v - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from necnneeneeyey. What is prob of sequence cee?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 39*m**2 + 379*m - 32. Determine q(-20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 11:38 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + q + 167525 = 0, -2 = 2*q - q. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*k - 52 - 24. Suppose -m = -k - 1. Solve 0 = x - 5*g - 10 + 1, g = m*x - 21 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154786 and 12030.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -10*z - 14. Does 2 divide (-2 + z - -9) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/12*(0 - 1). Let v = 3.9 + 0.1. Let l = 7 + -6.8. Which is the nearest to i? (a) v (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -403199, -806407, -1209617, -1612829?\n\"Answer: -u**2 - 403205*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 g when four letters picked without replacement from gqgkgqqggggqkgggkig.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2 + 2)*(0*u**3 - u**3 + 0*u**3) + ((-2*u + 3*u - 5*u)*(1 - 1 - 5*u) + 3*u - 3*u + u**2)*(0*u - 2*u**2 + 0*u).\nAnswer: -44*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1339*y - 3 - 2*y**3 + 15*y**2 + 15 + 1348*y + 17 + 3*y**3. Let x be 2\/6 - 43\/3. List the prime factors of m(x).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3224, 6445, 9664, 12881, 16096, 19309, 22520?\nAnswer: 25729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {x: 2, s: 2, p: 4, a: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 186700827 to the power of 1\/2, to the nearest integer?\nAnswer: 13664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 485?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 5*k**3\/3 + 3*k**2 - 6*k - 733. Let f(m) = m - 1. Determine 6*f(z) - x(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1. Let i(b) = -147*b + 5. Give i(f) - 5*t(f).\nAnswer: -147*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057380462 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7131549*x**3 - 18*x**2 - 3*x + 1954 wrt x.\nAnswer: 42789294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 6*p - 6. Let m be j(-5). Let d = -0.45 + 0.35. What is the second smallest value in m, d, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 13474938.\nAnswer: -13474938.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssrssssssrssssrsrss. Give prob of picking 3 s and 1 r.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13610 (base 7) to base 8\nAnswer: -7223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*f - 8*f. Suppose -2*u = u - 2*x + 7, f*x - 8 = 2*u. What are the prime factors of 6 + (-2 - u) - -49?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 342. Let g(q) = -2*q. Give g(s(x)).\nAnswer: -4*x - 684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -10*c - 9. Let g(h) = -h - 1. Let l(s) = -18*g(s) + 2*x(s). Let q(n) = -n**2 + 20. What is l(q(w))?\nAnswer: 2*w**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(51)*-2)\/sqrt(3) - (4 + sqrt(34)\/sqrt(2)))*1)**2.\nAnswer: 24*sqrt(17) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-91553)\/(-984) - 2325\/25\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by (-62)\/(-93)*(0 - -21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 8*c - 5. Let i be p(5). Let o(f) = 4 + 2 - 11 + i*f. Give o(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + -2 - 1 - -2. Let h(g) = -g**2 + 9*g. Let r be h(u). Suppose r = 2*t + 6 - 22. Solve k + k + t = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 560480.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/3585 and -53\/11950.\nAnswer: 35850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1748 + -1483.6. Let v = w - 264.3996153. What is v rounded to 5 decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24249207 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 > 630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/51 - -97\/255. Suppose -a*b**2 + 2\/5 - 6\/5*b**3 + 6\/5*b = 0. What is b?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*x - 4, 2*x + 0 - 4 = 0. Sort 2, -1, -2, p in ascending order.\nAnswer: -2, -1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.6 + -61\nAnswer: -54.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448800 is divided by 855.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 343287.\nAnswer: 343287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 502 - 497.89. Let h = w + -0.11. Which is the biggest value? (a) -4\/5 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/10)\/(2\/(-5)))\/((2378\/451)\/29)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/(-14))\/1)\/(78\/(-364)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/133 + -36\/133. Let f = -4 - -9. Suppose m + 2 = w, f*w + 1 = m + 19. Which is the second biggest value? (a) g (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 87200\/305172 + 38\/(-133). Is d bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23187678 - -0.11.\nAnswer: 23187678.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2097 + 2007. Which is the nearest to -1\/2? (a) 1\/3 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 2*n + 6, -121*p + 118*p - 22 = -2*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*y = -l - 98*y + 22907, -3 = 3*y. Is 30 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.19 + 16. Let y = f + 0.1911. What is y rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n - i = 6, 0 = -5*n - 5*i + 30. Let b be 12\/9 + n\/3. Let l(s) = s + 2*s**2 - 13 + 29 - 18. Determine l(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*s - 1345, 7*s - 290 = -p + 2*s. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 3437 = 3423 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3)*u\/(u*u\/u**(-4\/21)) assuming u is positive.\nAnswer: u**(-88\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (-2 - (-11 - (-13 + (-1 - 4)))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -1005?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -285\/7 (b) 0.055 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37045728 divided by -2862?\nAnswer: 12944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/12 and 16\/72 - 1209\/54.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 124 = 2*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.8678 + 0.4678. What is the closest to -0.2 in -4, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 14. Is 2\/37 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 177\/(7611\/602)*(8\/(-6))\/4.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3 + sqrt(147))**2 + -2).\nAnswer: -924 - 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 - (-24 + 38 - 30). Calculate the highest common factor of w and 1175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8 = 28. Suppose 0 = -r*s + 56 + 29. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*g = 9, 4*p - 3*g + 4*g = -3. Suppose p = -2*k + 6 - 4, -2*k - 15688 = -5*j. Let o = j + -1159. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 79*z + 498. Determine x(79).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1214\/221113 or -1?\nAnswer: -1214\/221113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11991, 11957, 11923, 11889, 11855, 11821?\n\"Answer: -34*g + 12025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**4\/24 - 11*m**3\/6 + 29*m**2. Let c(b) = 9. Let w(l) = 6*c(l) + 5*j(l). Determine w(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 5, -9, -29, -55, -87?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m*(m*m\/((m*(m\/m**(4\/3))\/m*m)\/m))\/m)**(26\/3) assuming m is positive.\nAnswer: m**(-208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -11)\/60*(-3)\/((-24)\/460).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 3*n**2 - 11*n - 19. Let a(m) = 2*m**3 + 5*m**2 + 23*m + 37. Let r(y) = -3*a(y) - 7*t(y). Let k be r(-5). Solve -k*g - 5*g + 5*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 3*m**2 - m**2)*(-3*m - m + 0*m) + (0*m + 0*m - 2*m**3)*(-65 - 13 + 3).\nAnswer: 142*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/23, -1\/2, 2\/15 in descending order.\nAnswer: 5\/23, 2\/15, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -560 + 564. Solve 0 = -3*n + 1 - l, 4*u + 5*n - 11 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in -76, 10, -1\/7, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 724*v - 5*x - 22 = 717*v, -4*x + 22 = v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 857914887?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300 minus 4411479821?\nAnswer: -4411477521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -304497 or 402?\nAnswer: 402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1377)*-2 + -4 + -1*(sqrt(1377) + (sqrt(1377) - (sqrt(1377) + -4 + (sqrt(1377) + -2 - sqrt(1377))))))**2.\nAnswer: 324*sqrt(17) + 12429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 - (-2 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3 + 1 - 15*a**2 + 2. Let c(h) = 3*h**2. Let p(m) = -24*c(m) - 5*r(m). Suppose p(n) = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 5) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32211 and 606.\nAnswer: -19519866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17243139, 17243101, 17243063, 17243025?\nAnswer: 17242987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 4*b**2 + 11*b + 7. Let n(i) = -i**2 + 9*i - 12. Let r be n(8). Let g be (12\/(-1))\/r + -9. What is the remainder when 22 is divided by v(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/2*1\/10*84\/(-168).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -1\/3*x**3 - 3 - 1\/8*x**4 + 0*x + 14*x**2. Let i(z) = -4*z + 1 + 0 + 7*z. What is -2*c(h) - 3*i(h)?\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 660*f**2 - 4*f**2 + f**3 - 1112*f**6 - 53*f**5 + 1123*f**6 wrt f?\nAnswer: 1320*f**3 - 3180*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 27*l + 44. Let v be z(-26). Solve 0 = -5*q + 2*c + v, -3*c - 13 = -4*q - 0*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 4, 0 = 2*j - 2*i + 3 - 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:45 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 1:47 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 2:27 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4\/2 - 3720*u**3 - 7441*u**2\/2 = 0.\nAnswer: -1, 0, 7441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 14*o**2 + 12*o. Suppose -36 + 10 = 2*h. Let u be v(h). Let y = u + -13. Is y > 1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3445029476 to the power of 1\/2, to the nearest integer?\nAnswer: 58694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 + 2*u**3 + (16*u**2 + 2*u**2 - u**2)*(3*u - 5*u + 4*u) - 3*u**3 + u**3 + 4*u**3)*(-3 - 6 - 1).\nAnswer: -380*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-7))\/(-65*(-114)\/(-7980))?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -2, 0, 4?\n\"Answer: g**2 - 3*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2711 - 1365 - 11*q - 1356)*(29 + 7*q - 29) to x + z*q + n*q**2 and give z.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 1 - 1)*(9 + 3 + 6 - 11 + 5 + 8).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32625 and 18125?\nAnswer: 163125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 86.0544. Let c = -0.05440449 + l. What is c rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, i: 3, e: 4, s: 2, d: 4}. What is prob of sequence sksi?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1332.8 - 1333. Sort -56, c, -0.3, 2\/3 in ascending order.\nAnswer: -56, -0.3, c, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*f*h**3 + 3236*f*h**2 + 112*f*h + 2*f - 281*h**3 - 2*h**2 - 337*h + 5 wrt f?\nAnswer: 5*h**3 + 3236*h**2 + 112*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 3:45 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/(-1*sqrt(6)) - (sqrt(26)\/sqrt(2) + -3))*2)**2.\nAnswer: -48*sqrt(13) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 391 - 391.000618. Round b to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:21 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9525?\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8296 - -224056\/27. Find the common denominator of (25\/(-330))\/((-2)\/16) and s.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 612997 divided by -87571\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13468, 26942, 40416?\nAnswer: 53890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540 divided by 3.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788311511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 15 + 116)*(4 + 1 - 3)*(-80*f - 30*f + 60*f - 82*f) to the form m*f + s and give m.\nAnswer: -27192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261443 - 261443 - 26*y**2.\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -365223 - 154239. Let v = 213423 + o. What is v rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*l**4 - 20*l**4 - 36*l + 37*l)*(6 + 1 - 8).\nAnswer: -27*l**4 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:58 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-18)*(-2637)\/(-6446)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9\/13 (b) 4 (c) -0.4 (d) -74 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (5 + 5 + (1 - 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least as big as -3671\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 4*m + 1. Let j be f(3). Determine v, given that 8*v**2 + 2*v**5 + 13*v**4 + 0*v - v + 12*v**3 + 3*v - 5*v**j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 7. Let b be r(-6). Let h be b + (1 - -2 - 2). Suppose 0 = -h*y + 3*y - 99. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 5*t**3\/6 + 135*t**2\/2 - t - 942. Let w(d) = 6*d. What is c(w(o))?\nAnswer: 30*o + 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12814939 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620836816?\nAnswer: 2, 38802301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27559?\nAnswer: 7, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*a - 20*a - 3537205 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 5, 4 in decreasing order.\nAnswer: 5, 4, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 44. Calculate the common denominator of -1 + -6*(-54)\/8 and (-46)\/o*(-4)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3049, 3027, 3005, 2983, 2961?\nAnswer: 2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52902823?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*l - 419*l + 274920. What is the least common multiple of l and 1885?\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 316 + 95. Suppose 3*n - 81 = 5*s, 5*n + 3*s = n + h. Calculate the remainder when n is divided by (-51)\/2*4\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106040054?\nAnswer: 2, 2753, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -0.6.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, 6, 5?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**6 - 195*u**5 + 2*u**4 + u**2 + 324*u + 2?\nAnswer: -120*u**3 - 11700*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-3 + (-4)\/2). Let n be i\/20 - 11\/(-12). Let p = 16 - 82\/5. Which is the nearest to 0? (a) p (b) -1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -367770, -367768, -367766, -367764?\n\"Answer: 2*i - 367772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-4)\/(-12)*-2). Put 5, g, -4 in decreasing order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 3:48 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35cd + 2?\nAnswer: -35cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 31*k + 2 + 10*k to h*k + b and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 3:15 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9601596 divided by -4.\nAnswer: -2400399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z*z**(-1\/3)*z)\/z)**(-10\/11))**(2\/117)\/((z**(-1\/4)*z)**(-45)\/(z**(-6)\/((((z\/(z**(-4\/5)\/z))\/z)\/z)\/z))) assuming z is positive.\nAnswer: z**(2155099\/77220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -20, -2.5, -2 in ascending order.\nAnswer: -20, -2.5, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166012 is divided by 103.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(745\/11920)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49133 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 - (0 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108457244 at most as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.733 - 1.633. Let a = -3.8 + 3.7. What is the third biggest value in b, 0.006, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54121640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2962, -5569, -9904, -15961, -23734?\nAnswer: -33217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from newpeyeyyeyem. What is prob of sequence en?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 0*m**3 + 0*m**3)*(2 + 2 - 6)*(2 + 3 - 4).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**2 - u + 7. Suppose 0 = -l + 4*s - 6*s + 6, 5*l + s = -15. What is the remainder when a(l) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, -16677429, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 18*y**2 + 140*y + 77. What is s(24)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 minus 540058354?\nAnswer: -540058437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*h + 225, 0 = -5*u + h + 88 + 287. What is the second derivative of 3*r**2 + 11 + 8*r**3 + 3*r + 20*r**3 + u*r**3 - 5*r**2 wrt r?\nAnswer: 618*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3096062*p + 149836?\nAnswer: 3096062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/21, -5, -4.6, -4619, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 3*s + s. Let v = s - 42. Suppose j = -v*w + w + 8, -2*w = -4*j + 22. Solve -12 = -3*l + 3*m, 8 = 5*l + 2*m - j*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.8092415 minutes to days.\nAnswer: 0.005423084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8*u + 75. Let z be v(6). Let s be (3*(-3)\/z)\/(7\/(-147)). Solve a = -s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/5, 35, -305?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 4*v = -4, -2*v = -4*w - 574. Let h be (16\/w)\/(15\/(-6) - -2). Let x = 0.06 - 1.06. What is the biggest value in -3, 2\/3, x, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.12238 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21466 divided by 10733.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3001979, 3001978, 3001977, 3001976, 3001975?\nAnswer: 3001974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9830695 and 4655.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 76 in decreasing order.\nAnswer: 76, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27535688 + -41961779. Let i = v - -14426169.00079. Let q = i + -78. What is q rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*2*1*-4*sqrt(2736)*2.\nAnswer: 4800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/5)\/b)\/(b*(b\/b**(2\/35)*b)\/b*b))\/((((b*b\/(b\/(b\/b**(-18)))*b)\/b)\/b)\/b**(1\/5)) assuming b is positive.\nAnswer: b**(-803\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w + 4*k + 4, w = -3*k + 18. Let y = w - 3. Which is the smallest value? (a) y (b) -5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11844515 by 2368903.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 - 374.8. Let r = 371.999847 + p. Round r to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + p + 0)*(3*p + 0*p - p) - 44*p**2 - 49*p**2 - 11*p**2 + 246*p - 36*p**2 - 246*p.\nAnswer: -138*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -7 + 4 + (28 - -1) + 163 + -154?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(2 - 10)\/(-4). Solve 0 = -348*p + 352*p - c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 5*j - 95. Let o be j\/20 + 2\/5. Let h(k) = -3*k**2 + 0*k**3 + 4*k**2 - 5*k**o + 4*k**3 + k. Calculate h(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4020191.48 to the nearest 10000.\nAnswer: 4020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4681 and -60?\nAnswer: 280860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 48 = 4*z. Let y(k) = k**3 + 4*k**2 + 2*k - 7. Calculate the remainder when y(3) is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/8 + 4203*o\/2 - 8403\/2.\nAnswer: -3*(o - 5602)*(o - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/((-546)\/(-28))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1438832 + 2877671 - 26*t**3 - 1438839.\nAnswer: -26*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -73*m - 2. Let i be y(-2). Suppose -3*z = -3*x - 84, -5*z = -0*z - x - i. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from {x: 6, u: 2, q: 10}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -11*b**2 + 3*b + 8. Let i(y) = -24*y**2 + 5*y + 15. Let l(o) = -13*h(o) + 6*i(o). Let g be l(-7). Solve g*j + 5 = -4*j + 5*n, -5*n = 5*j - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 12:40 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*p = 82*p + 60 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**4 - 2*m**2 + 2*m**2 + (14 - 14 + 3*m)*(-2 + 0 + 0)*(4 - 4 + 4*m**3).\nAnswer: -19*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.44 + -265016921\nAnswer: -265016920.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 66\/325 and -49\/15.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2 + 1)*5)\/((-6)\/(-24)). Let k = -21 - i. Let j(w) = w**2 + w. Let u(d) = d**3 - d**2 - 2*d + 1. What is k*u(a) - 2*j(a)?\nAnswer: -a**3 - a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z**5 + 4*z**4 + 10*z**3 + z**2 + 5*z + 5. Let v(w) = 15*w**5 - 6*w**4 - 15*w**3 - w**2 - 7*w - 7. Let u(k) = 7*a(k) + 5*v(k). Factor u(s).\nAnswer: s**2*(s - 1)*(s + 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158989521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*j - 10*j + 33*j. Solve j = -20*z + 18*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u**2 - 2*u. Let x(y) = 33*y + 96*y + 76*y - 241*y. Calculate l(x(q)).\nAnswer: 12960*q**2 + 72*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.079607 rounded to 2 decimal places?\nAnswer: 14.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j - 34*j = 20. Find the common denominator of -59\/80 and (4 - (-45)\/j)\/((-84)\/(-309)).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 75*n**3 - 65*n**2 - 75*n + 70.\nAnswer: -5*(n - 14)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -2118?\nAnswer: 211d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -14. Calculate the remainder when 13 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*r = 138, 82 = 2*b + r - 62. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23563784 divided by -4\nAnswer: 5890946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 7. Let d be s(7). Let r(i) = i**3 + i**2 + i. Let g be r(2). What is the highest common factor of g and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 38070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -82c5 (base 16) to base 7\nAnswer: -166413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 2917. Let k = y - 2894.998487. What is k rounded to five decimal places?\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1001 - 101?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 4*z. Let r be s(-3). Let w be -1 - 1 - (-1 + r + -4). Solve 5*h - 13 = g, w + 4 = 2*g + 5*h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + s + 1. What is w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tii when three letters picked without replacement from tititttt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478, -1881, -4220, -7495, -11706?\nAnswer: -16853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + 3*k)*(-89*k + 8*k - 35*k - 87*k).\nAnswer: -609*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(252\/108)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 164 = -b - 80*n + 135*n, -2 = -2*b - 3*b - 9*n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/21)\/s*s)\/(s\/s**(2\/9)) assuming s is positive.\nAnswer: s**(-37\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7845 + -994?\nAnswer: -8729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 116*x - 840.\nAnswer: 4*(x - 35)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 6*u**2 - 3*u - 3. Let w = 19 - 8. What is the remainder when k(-4) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - 2*d**3 + 0*d**2 + 8*d**3 + d**2 - 4*d**3 to o*d + x*d**2 + r*d**3 + q and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 9. Let r be v(10). Let d = r - -53. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/8*9\/(36\/16). Let t be (-1 - 0) + 2\/(-2). Sort -0.5, u, t in descending order.\nAnswer: -0.5, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -240 - 5?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + 0*d**5 - 2*d**5 + (0*d**3 + d**4 + 0*d**3)*(-1 + d + 1) + 29*d**3 - 29*d**3 - 42*d**5 + 0*d**5 + 2*d**5 - 3*d**5.\nAnswer: -43*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-57)\/(-6) + (-1)\/(-2). Let g = -7 + j. Solve g*h - 2*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 30*u - 85. Let q be m(3). Solve -3*g = -3*o + q + 10, 4*o = 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-4 + 0 + 5). Is r at most 4\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11601)\/5156 + ((-1)\/(-4) - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6563166?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*n**3 + 1 - 4*n**2 + 5*n**2 + 90 + 0*n**2 + 14*n**3 to the form z + r*n**2 + f*n**3 + t*n and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 34 = 5*a. Suppose -y + g + 9 = 3*g, -2*y + a = 5*g. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/21 (b) 33.3 (c) -3 (d) 5 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -17. Let g(d) = d**3 + 3. Let u(z) = 6*z**3 + 16. Determine y*u(b) - 16*g(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**6\/6 + 13*u**5\/5 - 3*u**4\/4 - 41*u**3\/3 - 13*u**2 + 69. Factor s(j).\nAnswer: j*(j - 2)*(j + 1)**2*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -526 + 528. Solve q*j + 777 = 783 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9507, -19010, -28511, -38010?\n\"Answer: g**2 - 9506*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30136 and 36?\nAnswer: 271224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = 5*k - 401, 0 = 4*k - 5*i - 314. Suppose -3*w + 3*y = -k, -w + 2*y = 4*y - 21. Suppose a - 6 = w. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 99 = -71. Calculate the highest common factor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1209 + -1212. What is the fifth smallest value in -9, -4, 2, k, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10) - (35\/(-50) + 2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 - 1873388*x - 18734280 = 0. Calculate x.\nAnswer: -10, 468357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.085 and -5?\nAnswer: 0.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4 - (-6)\/(-4). Calculate the lowest common multiple of 4 and 27 - 4 - (-3)\/v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2704?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10*30\/75*84\/(-8)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 30\/(-25))\/((-2)\/(-10)). Suppose -w = 2*w - z. Solve 2*r = -5*t + 2, 3*r + 22 = w*t + 2*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-3)*(-72)\/(-40). Suppose -z - 125 = -y*z. What is the greatest common divisor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7332225 divided by 2444075\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 2 (c) 8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 8:39 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -791019\/34 - -23263. What is the common denominator of s and 44\/7?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*m - 2100, -82*s = -5*m - 84*s - 5193. Which is smaller: -1042 or m?\nAnswer: -1042","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 21*m + 22. Let a be g(-20). Suppose -a*l = -3*d - 78, 2*d - l = -12 - 41. Let w = d + 27. Let i(j) = -11*j - 1. What is i(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 252 (b) 854\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*g - 20 + 3 = 0, -5*j + 5*g = -35. Determine x so that 0 + 3\/7*x**j + 3\/7*x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -20 + (4 - -2) - 4. Suppose 0 = 2*v + x - 0*x - 37, v - 4*x - 14 = 0. Let z = v + i. Solve 3*j = -z*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26267 + 5736. Let r = -20446.53 - x. Let u = r - 84. What is u rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 21*y + 364. Determine h(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774439483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*u + 6, 5*u - 25 - 6 = 13*h. Suppose 3*f + x + 4 = 0, 3*f - x = -2 + 6. What is the nearest to -1\/3 in h, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54)\/(-378) - 1\/(14\/(-54)). Solve 3 = -0*v - v + 4*g, 2*v + r*g + 6 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -790147*g**3*n**3*u**2 - 13*g**3*n*u - 322*g**2*u**2 - g*n*u**2 - 3*n**2*u**2 wrt n.\nAnswer: -4740882*g**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/8839?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -173\/2, -19, -2\/11 in increasing order.\nAnswer: -173\/2, -19, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 = 3*r, 5*n + 5*r + 17 = -8. Suppose n = 6*q - 2*q - 8. Suppose -2*i + 3*f + 33600 = 0, q*i - 33600 = 2*f - 6*f. Round i to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.3. Let a(z) = z**3 + 3*z**2 - 3*z + 2. Let f be a(-4). What is the nearest to m in f, 4, -8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 v, and 1 c when four letters picked without replacement from {a: 2, b: 3, v: 4, c: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1305 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*((sqrt(272) - (-2 + (sqrt(272) - sqrt(272)*-1)**2)) + (sqrt(272)*2 + 4 - sqrt(272))).\nAnswer: -96*sqrt(17) + 12984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 15 = -2*o. Put 5, o, -5, 0 in decreasing order.\nAnswer: 5, 0, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-233)\/(-5) - (-39 + 40). Is v != 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p - 4. Suppose 0*u = 3*u + p*j + 12, 3*j - 8 = 2*u. Let x be 3\/u + (-1)\/4. Sort -2, x, -3.\nAnswer: -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8281.604 and 1728?\nAnswer: 6553.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2926 + 2937 = -3*r, -r = -l + 12 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(64*n - 99*n + 63*n).\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 1. Let c(b) be the third derivative of -7*b**5\/15 - 5*b**4\/24 - 2*b**3\/3 + 11*b**2. Let q(n) = -2*c(n) - 10*j(n). Does 7 divide q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 5*n**6\/8 + 29*n**4\/24 - 2869*n**3\/6 - 430*n**2 + 2. What is the first derivative of p(u) wrt u?\nAnswer: 225*u**2 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*d + 95 = -4*d, -d + 25 = n. What is the highest common factor of 264 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(500))*-2)**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246454*r - 246460*r - 246464*r + 739354*r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 4*h**2 + 3*h. Let n be o(3). Let v = 313\/6 + -52. Is n > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634123 is divided by 311?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14671 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 4 = -11*q. Suppose -4*f + 882 + 218 = 5*z, -880 = -q*z - 4*f. Calculate the greatest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -15, -4*y + 2*y + 4*p = -1156. Suppose 5*u + 0*b + 3*b - y = 0, 4*u - b = 474. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1395 - -1429. Let z = -11 - 14. Let x = z + s. Calculate the remainder when 32 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l + 8. Suppose -3*p + 16 = l. Factor 78*j**3 - j**p - 5*j**2 - 80*j**3.\nAnswer: -2*j**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*r + 46*r = z + 5, -5*r - 5*z + 15 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44.9? (a) -0.4 (b) -0.02 (c) -4 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2745134?\nAnswer: 2, 7, 196081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182700 divided by -435.\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2))**(-4\/3)*a**(3\/8)\/a**15)**(-8\/3) assuming a is positive.\nAnswer: a**(287\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -802 + (-7 - 0 - 8\/(-2)). Let f = 6367\/8 + q. Let z = 1\/14 + 305\/42. Calculate the common denominator of z and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -0.1 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 159 + 14*f - 159. Let p(n) = 56*n - 10. Let c(s) = -101*s + 18. Let u(x) = 5*c(x) + 9*p(x). Give r(u(a)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60994029 is divided by 264?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9350788611?\nAnswer: 3, 19, 503, 326141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.349 - -7.839. Let b = q - -3.61. Which is smaller: -4 or b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12034*h**2 + 178 + h - 178.\nAnswer: -12034*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*p = -334*p + 5820 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 3*k**2. Let y be j(2). Suppose -g = -s + 13, -55 = -y*s + 5*g - 0*g. Let r be 44\/s + 6\/10. Sort r, -0.1, -5 in ascending order.\nAnswer: -5, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -282 - -408. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -374184 divided by 10394\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/8 of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-524*(-275)\/(-66))\/((-4)\/6).\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1376, 4 in decreasing order.\nAnswer: 8, 4, -1376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -13*a - 2. What is the tens digit of i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 4*v + 3. Let r be w(4). Let a(y) = -3*y + 6 + r*y - y. What is the lowest common multiple of 7 and a(0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107.6 - 108. Which is the fourth smallest value? (a) 1\/4 (b) 1\/5 (c) -21\/4 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 491349817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86 and 7439?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 13 (c) 35 (d) -11283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 326, 2463, 8172, 19211, 37338, 64311, 101888?\n\"Answer: 293*c**3 + 28*c**2 + 2*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - -49 - (-6)\/(-1) - (0 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 13*h - 15. What is the tens digit of o(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4259544 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*l*x**3 - 4*f**2 + 570*f*l*x + f*l - l*x**3 + 7*l + 2*x**3 - 17*x**2 wrt f.\nAnswer: 4*f*l*x**3 - 8*f + 570*l*x + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -7. Suppose 11 = -5*a + 5*c - c, 5*a - 9 = -c. Let z = 0 + a. What is the second smallest value in 1\/4, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -5124\nAnswer: -35868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 436068?\nAnswer: 436068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -385954\nAnswer: -1\/192977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9)*y*y**(-9)*(y\/y**3)**(13\/4) assuming y is positive.\nAnswer: y**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2236*k**6 + 162*k**4 - 4*k**3 + 20*k**2 + 67*k - 17 wrt k.\nAnswer: -268320*k**3 + 3888*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 9:01 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/84 + -1\/21. Which is the second smallest value? (a) f (b) 0.5 (c) -0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -0.8. Let g(y) = y**2 + 7*y - 12. Let q be g(-9). Let f be q\/44*-16 + 2. Which is the nearest to f? (a) -1 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 904253884?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 0, -3852\/5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -20 + (-103 - (3 + -32))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-10) - ((-3588)\/(-65))\/(-2). Solve 12 - j = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.769 + 1084398813?\nAnswer: 1084398801.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 550 and 5836600.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 3*l - 4*l = -24, -4*s - 192 = -5*l - 110 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in 2\/15, 10, 1\/85, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/(-2))\/96)\/(4\/48*29)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 24*r + 122. Let t be i(36). Let z = t + 334. Calculate the greatest common divisor of 200 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -130*o**3 - o**2 + o + 1. Let r be b(-1). Suppose 60 = -126*g + r*g. Solve 4*f + 8 = g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -293 - -33. What is the tens digit of ((-12)\/15)\/(4\/q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 49*r**2 - 203*r + 2. Let x be s(-4). Solve -x + 34 = -12*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1112 - 628. Calculate the greatest common divisor of 44 and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9340*b - 46766. What is l(-5)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100330130 (base 4) to base 12.\nAnswer: 2476a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/(33\/(-3212)). Let o = -90 - -7. Let r = o + p. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -11. Let t = -0.056 - 0.564. Let d = t + 0.12. What is the smallest value in d, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.7 + -28. Which is the smallest value? (a) 2 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**3 - 7*g**2 - 10*g**3 - 5*g**3 - 3*g**3 to t*g + w*g**2 + u + k*g**3 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, c: 3, m: 2, f: 3, e: 5, a: 3}. Give prob of picking 1 c and 2 f.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 0.2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/72 and 19\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57139349?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -181361987*i**3*j**4 - 375372*i**3 + 2*i*j**2 - 261 wrt j?\nAnswer: -725447948*i**3*j**3 + 4*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -7*z**4\/4 - 527*z. Let v(t) = 13*t - 4. What is v(w(x))?\nAnswer: -273*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 - 2*m\/9.\nAnswer: 2*m*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 161033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-15)\/(-25))\/3 - 2*(-161958)\/20.\nAnswer: 2, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-14 + (53 - ((-13 - 0) + -6)))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 - (-43)\/4. Suppose 22 = 9*u - m*u. Let f = 47 + u. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -542617 + 0.546?\nAnswer: -542616.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2016.4 + 2025. Is -20 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4668*f. Let z(k) = -16*k**2. Determine z(d(l)).\nAnswer: -348643584*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 22605*z = 22608*z + 88, 4*w - 128 = 5*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*m + 4 = -2*o, -32 = -2*o + 4*m. Let l = -106 + 150. Suppose -2*s + l + 2 = 0. Calculate the remainder when s is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34228 and 56.\nAnswer: 479192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -298, -488, -680, -874?\n\"Answer: -c**2 - 187*c - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k. Let l(w) = -594*w**2 - 33*w - 33. Let f = -65 + 67. Let c(s) = 37*s**2 + 2*s + 2. Let p(g) = f*l(g) + 33*c(g). Calculate p(i(r)).\nAnswer: 825*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, -2, -374\/5, -0.5, 17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6031, -6031, -6041, -6067, -6115, -6191, -6301, -6451?\nAnswer: -6647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*a - 4764*a - 113284 = -90857 + 476133 for a.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 7*q**2 - 13*q - 20. What is the remainder when u(-8) is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -1 (c) 2 (d) 1330.1 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -10.9, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.11, -0.3, 4, 4\/7, 279, 0.08, -1\/5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 - -435250453?\nAnswer: 435250413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 18504204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - s - 2*s = -29, 2*j = -5*s + 25. Let m(y) = -3*y + 10. Let p be m(j). Round p to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 4 - (-2 - -4 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6954 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310 = -5*w - 77*l, 3*w - 38 = -4*l - 63 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 140, 310, 478, 644, 808?\n\"Answer: -o**2 + 173*o - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*r + 2160003 = 0, 0 = -3*a + a - 2*r - 2159998. What is a rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/7 and 8\/671.\nAnswer: 4697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 486289 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2542 times -1854\nAnswer: 471.2868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 9294*g - 9297.\nAnswer: 3*(g - 1)*(g + 3099)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d + 21. Let k be h(-7). Suppose k = j - 402 - 106. Suppose j = 4*t + 4*m, 0 = -2*m + m - 1. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -8*i**2 - 6487*i**3 - 19 + 3250*i**3 + 13*i + 3238*i**3. Give y(8).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9555 and 8313690.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*p - 2*r + 4, 0 = p - 2*r + 5. Let g be (-1 + (-62)\/6)*p. Let y = -12 + g. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3547 = -22*l + 21*l, -f + l + 1772 = 0. What are the prime factors of f?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + 0*o**2 - 2*o**2 + 9*o + 5*o**2 + 8. Let c be f(-9). Let s be (1 - 1)\/((-8)\/c). Solve 2*z + z - 12 = s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -11. Suppose -2*k + y*b = -58, 3*k + 4*b = b + 105. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**21*q*q)**42)**(1\/12) assuming q is positive.\nAnswer: q**(161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 15 = -3*o, 3*y - 10 = -o - 4. Let l(w) = 2954*w + 14767. Let f be l(-5). Which is the biggest value? (a) f (b) 4 (c) 0.26 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194711507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 300 - -3?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 231, 474, 763, 1068, 1359?\nAnswer: 1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 466 + -905. Let o = -438.747 - b. What is o rounded to two decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -15. Suppose -12 + 0 = -i*w. Determine x so that x**2 + 18*x**3 + 7*x**w + 2*x**2 - 2*x - 6*x**3 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480 divided by 740?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eehq when four letters picked without replacement from {e: 3, q: 1, h: 10, o: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 7. Let n be f(7). Solve n = -4*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/10 - 5089\/(-35). Suppose 5*d - 10*d + q = 0. Suppose -s = -66 - d. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6 and -101\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 - m**5 + 0*m**5 + (4 + 0 - 6)*(3*m**5 - 4*m**5 + 3*m**5) + (-m + 2 - 2)*(15*m - 13*m - 29*m)*(5*m**3 + m**3 - 4*m**3).\nAnswer: 48*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 152 - 920. Suppose -10553 + 3583 = 41*z. Let u = z - b. What is the highest common factor of 43 and u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 - -267?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -913 + 1295. Suppose m = 898*k - 896*k. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 907 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**0*l)\/l*l)\/((l*l**(-4\/3)*l)\/l*l))**(-3\/23) assuming l is positive.\nAnswer: l**(-1\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z + 80. Let s be a(-8). Suppose -2*d - 10 = -s. Solve -d*r - r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -29. What is the closest to 0 in -0.1, d, 8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71321 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 799690717?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(363) + sqrt(363) + 0 - sqrt(24)\/(sqrt(8) - (sqrt(8) - ((sqrt(240)\/sqrt(5))\/sqrt(6) + sqrt(8) - sqrt(8)))).\nAnswer: 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsg when three letters picked without replacement from {s: 7, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 1.7. Put -0.4, y, 5 in decreasing order.\nAnswer: 5, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402056 (base 7) to base 16\nAnswer: 10973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, r: 1, j: 1, s: 4}. What is prob of picking 1 j and 1 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -2 - 12 - 3*c**2 - 3*c + 6*c**2. What is the derivative of j(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 39, 76, 143, 252, 415, 644?\nAnswer: 951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37 - 5*j**2 + 3*j**3 + j**3 - 238*j - 14 - 23 wrt j?\nAnswer: 24*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*a + 23, 0*b - 5*a + 35 = 5*b. Let q(l) = 6*l - 15. Let i be q(b). Factor 0 - 1\/2*o**2 + 1\/4*o + 1\/4*o**i.\nAnswer: o*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319914 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 5*y**2 - y - 6. Let d be f(-5). Let q be 0\/(6\/(-4)*(-2)\/(-3)). Which is bigger: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuumumuuuuuuuuuuuu. What is prob of picking 1 m and 2 u?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18723195 or 18723199?\nAnswer: 18723195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 343 + 6*n + 11*n**2 - 3*n**2 - 350. Is j(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414550 is divided by 1392.\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3174343372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 5*a + 10*a - 36. Let x be n(12). Let v = -303\/2 + 1227\/8. Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 divided by -4?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3077812 and 41\/20?\nAnswer: 15389060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5715 + -5715. Solve g = -5*n + 3*o - 11, -4*o + 6 = 3*n + 30 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Let m = 21.64 - 22. Let c = -4.36 - m. Sort c, g, -1 in decreasing order.\nAnswer: g, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 2*x - x. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 4*r**3 + r**3 + (3*r**2 - 5*r**2 - r**2)*(-4*r + 1 + 2*r + 0*r).\nAnswer: 10*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3 - 679148070*c**2 - 19*c - 7216859 wrt c.\nAnswer: -6*c - 1358296140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121065867 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 95, 6 in ascending order.\nAnswer: -1, 6, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 5*r - 24 = 0. Suppose -r*f - 2*u - 6 = u, 3*f - 2 = u. Solve -3*h + 8*h - 15 = f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2923)\/(-555))\/(-79))\/(4\/(-6)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.27 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 179334*y + 2901?\nAnswer: 179334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, -7, -39, -93, -175, -291, -447, -649?\n\"Answer: -i**3 - 2*i**2 - 3*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7329450 and 2931780.\nAnswer: 14658900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272814769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -302?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1952.9193 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 + -49. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -35 - (15 + 8)) + -54\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270634 is divided by 86179?\nAnswer: 12097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1254 (base 6) to base 8\nAnswer: -502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -b - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 2)*(-6 + 208\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*i - 4*i + 0*i)*(1 + i**2 - 1) + 5*i**3 - 5*i**3 - 7*i**3)*(-4*i + 5*i + 16*i**2 + 6*i**2).\nAnswer: -132*i**5 - 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31084474906 and 0.4?\nAnswer: 31084474905.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -116851748 divided by 988?\nAnswer: -118271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1166*d - 1. Let p(a) = -a**2. What is p(b(g))?\nAnswer: -1359556*g**2 + 2332*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2472*g - 8600 = 2672*g for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 859583.7m in centimeters?\nAnswer: 85958370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 62110*m**2 - 17620125*m.\nAnswer: -m*(m + 285)*(m + 61825)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92573156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4790 - -4789.9999960128. Round p to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 665 = 3*d - 706, 2*d + f - 20 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 241 * -4.\nAnswer: -964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-5) - 152\/(-40). Solve v + 16 = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2257 - 2255. What is the greatest common factor of 367 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 22*v + 1124. Determine n(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12139, 12045, 11951?\n\"Answer: -94*z + 12233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 (base 14) in base 6?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3551715 (base 8) to base 3.\nAnswer: -1211100221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 10506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5.395*-6.31\nAnswer: -34.04245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/(2\/10*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/(-146)*((-14)\/(-12))\/(6\/24)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) -0.05 (c) -5\/101 (d) -0.2 (e) 1\/4 (f) -2 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2*(-3)\/2. Suppose -4*q - 4 + 18 = s*d, 3*d = q - 11. Let i = 1 - 6. Which is the third biggest value? (a) i (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 32.96819 weeks?\nAnswer: 19939161312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 2121*u + 424815. Determine m(-268).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -99, -7, 469, 1521, 3341, 6121, 10053?\n\"Answer: 32*l**3 - 132*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1706.9998105 + -1707. What is s rounded to 6 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64 + 17*q + 64 + (4*q - 5*q - 3*q)*(0 + 1 - 3).\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*(sqrt(432) + sqrt(432)*2) - (sqrt(432) - (-1 + sqrt(432))*-2)) + 1)**2.\nAnswer: -648*sqrt(3) + 35001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2317423.\nAnswer: 17, 136319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5267464612 minus -128?\nAnswer: 5267464740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -61.22\nAnswer: -183.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -305 - -303. Is (27\/(-45))\/(y\/12340*2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:41 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**2\/2 + t + 430. Determine n(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3 - 2*a**2 + 5*a + 6 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -30. Let j(r) = -r**2 - 5*r + 2. Let l be j(u). Let s(f) = 22*f + 4. What is the tens digit of s(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (3 - 0) - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*l + l + l - 3*l + 4*l + l + 1 + 3*l - 1 + (-2 + 5 - 1)*(l + 0*l + l) + 1 - l - 1)*(-2*l - 2*l + 3*l) to the form v*l + z*l**2 + c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 10. Let w be x(6). Suppose 15*k + 11 = w. Solve -2 - k = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 4*m - 1039*m**2 - m.\nAnswer: -1039*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (-20 + 8 + 4)) + 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -381, -293, -59, 393, 1135?\nAnswer: 2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11022020120 (base 3) to base 4\nAnswer: 110230011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8349?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16574 - -7?\nAnswer: 16580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*p + 23 = -0*p, 4*p = -2*x - 12. Suppose a + x = 2*y, -y = 2*a + a + 12. Let v(m) = m + 457. Is v(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -31.2. Sort 2, c, -11, -3\/5 in ascending order.\nAnswer: -11, -3\/5, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*o**2 - o**2 - 2 - 4 with respect to o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + (-78)\/12 - 2026\/4. Let q = 754 + s. Calculate the highest common factor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 9. Suppose -5*n + j = -1. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 323429974 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 - 5*z**2 + 0*z**2 - 5*z**2 + 3*z**2 + 4*z**2 + (1 - 1 - 2*z)*(-2*z - z + 2*z) + 2*z**2 - 2*z**2 + 2*z**2 + z**2 + 0*z + 0*z + 3*z**2 - 2*z + 2*z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1631 - -50719?\nAnswer: 5214a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2 + (0 + 0 - 1)*(-1 + 4 - 1) + 2 - 1 + 1 - 3 + 5 - 3)*(-8*o + o + 3*o).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 14730?\nAnswer: 29460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 380 (base 15) to base 13.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vevv when four letters picked without replacement from vvvvvvvvevvvvvvvvvv?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-9))\/((-2)\/3). Let h be (-26)\/4 + (-2)\/(-4). Let v = p - h. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305516175?\nAnswer: 3, 5, 1153, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b1 (base 15) to base 11\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/(-1*sqrt(16)))\/(2*sqrt(72)*-4).\nAnswer: sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/77 and ((-61)\/(-4))\/((-105)\/12).\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -4, 5\/7, -2840, -10, -0.5?\nAnswer: -2840","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 62*l + 5. Let r be c(0). Suppose -40*x = -45*x - 10, r*x = -a - 8. Solve -3*d + 17 = 4*v, a*d - 2 = 2*v - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*t + 42*t + 47*t.\nAnswer: 120*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 7*i**2 - 6*i + 3. Let c be y(6). Suppose 5*j - 15 = 0, -2*o + c*j = -2*j - 13. Suppose -5*z - o = -64. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 401864597?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:31 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i*i**23))\/i)\/i)\/(i**3*i)*i**0\/(i**(-18)*i) assuming i is positive.\nAnswer: i**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/10)\/(((k\/(k*k**(4\/9)))\/k)\/k))**(-18) assuming k is positive.\nAnswer: k**(-211\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 239505 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/131)*n*n**31)\/((n**(-4\/3)*n*n)\/(n*((n\/n**(-37)*n)\/n)\/n)) assuming n is positive.\nAnswer: n**(27254\/393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 243*s**7\/14 + 81*s**6\/5 - 621*s**5\/20 - 239*s**4\/6 - 18*s**3 - 4*s**2 - 8*s. Factor t(j).\nAnswer: (j - 1)*(j + 1)*(9*j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 17. Let i = t - -18. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7309944\/7 or -1044278?\nAnswer: -1044278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20603*d**3*y**2 - 85*d**3*y - 771*d**2*y**2 + 434972*d**2 wrt y?\nAnswer: 41206*d**3 - 1542*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 22 = -4*t, -3*t + 5*d + 27 = 8. Let m(r) be the first derivative of -1\/4*r**2 - t + 1\/4*r + 1\/12*r**3. Factor m(w).\nAnswer: (w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*i - 8, 0*i + 2*i + 4*h - 2 = 0. Let o(a) = 388*a - 34. Let r(t) = -3*t + 2. Let v(j) = o(j) + r(j). Is v(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + n**3 - n**3 + (-11 - 18 + 3)*((2 - 5 + 1)*(-n**3 - 3*n**3 + 2*n**3) + (6 - 4*n**2 - 6)*(-4 - n + 4)).\nAnswer: -209*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7. Suppose -3*s + s + 56 = j. Let y = 2 - -5. Calculate the highest common divisor of y and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (1 + 9 - (-6 + (-12 - 3)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -3 (c) -5\/8 (d) 29\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 2*m - 6. Let k be t(-6). Let u = -2 + -2. Let p = 10 + u. What is the highest common divisor of k and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -782, -3248, -7340, -13052, -20378, -29312, -39848, -51980?\n\"Answer: n**3 - 819*n**2 - 16*n + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -2*t - 18 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 - 125358?\nAnswer: -125343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2166 (base 10) to base 14\nAnswer: -b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*m = -5*m + 9, 12 = -2*y + 4*m. Suppose b + 12 = 2*v + 3*b, 2*v - 2*b - 20 = 0. Let l be (1 + (-10)\/v)\/1. Which is greater: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175119 and 385746?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.021077l?\nAnswer: 2021.077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k + 0*k)*(-3*k + 6*k - 2*k + 0*k + k - 3*k + k + 20*k - 42*k - 2*k + k + 2*k + 0*k + k + 0*k + (1 + 0 + 0)*(3*k - 3*k - 2*k) + 4*k - 4*k + 2*k).\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*136.86\nAnswer: 27.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*x - 54 = -0*s, -4*s + 90 = -3*x. Let z be 667\/203 - (2 + s\/(-14)). Solve -1 = -4*w + z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 3*h - 27, -4*b + 5*h = 27 - 19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3255 + -3215. Solve x*i - 29*i = 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 515 + -300. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16646769 divided by -27?\nAnswer: 616547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -20. Let i = 10 - 9. Calculate the remainder when q is divided by i*(11 + 1 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d - 573710919 + 573710919.\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + 2*u - 5*u)*(-2 + 1 + 3) + 26*u + 310 + 61 - 28*u.\nAnswer: 2*u + 371","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + p + 7. Let x be m(0). Let u = -5 - -3. Let h be ((-144)\/(-56))\/(u\/(-14)). Solve 1 = -3*d - 3*z + x, 5*d + z = h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/317 - -323\/951. What is the third biggest value in 7, -6, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14155 - -6?\nAnswer: 14161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 353845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2\/19, -1, 0.4, -0.069 in increasing order.\nAnswer: -4, -1, -0.069, 0, 2\/19, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -96867 and -96862 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13334 = -515*u + 1601 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8704338931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:13 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 924694 is divided by 131464.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - y**2 + 9*y - 20. Determine a(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2525 and 3939?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66a57 (base 14) to base 15.\nAnswer: -4db9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59\/40 + -7\/8. Let w = -1.3 - 3.7. Put w, -0.2, z in ascending order.\nAnswer: w, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 2925598.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 6244?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 203 = -5*d. Let h = d - 23. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80b41 (base 12) to base 5.\nAnswer: -20330041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 181*p**4\/4 + 87*p**3\/2 - 1464*p**2 - 1. Differentiate n(v) wrt v.\nAnswer: 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2216\/9 + 246. Let g = -1 - -2. Which is bigger: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*8\/(160\/100)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4927236mm?\nAnswer: 492.7236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476583.\nAnswer: 461, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-1 - -6 - 6 - 0).\nAnswer: 5","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) -190\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*h + 21. Let b = -13 + 9. Put b, h, -0.1 in ascending order.\nAnswer: h, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 18*t - 15. Let g(f) = -f + 1. Let s(p) = -3*p - 20. Let l be s(-7). Calculate l*j(c) + 15*g(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*t - 2*t + 712, -q = 5*t - 1754. Find the first derivative of 23 - 336*m + t*m + 4 wrt m.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k + 12 + 54 + 0*k - 11*k. Let v be w(6). Solve -u + v = 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4832 - (-4)\/(-3)*(-18)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22891646 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxf when three letters picked without replacement from xffxxxxxxxfxxxxx?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 23. Let l be g(18). Suppose -5*k - 1 = 2*i + l, -k = 2*i - 2. What is the greatest common divisor of 14 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 1014323?\nAnswer: -1014320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18353 + -10793. What is b rounded to the nearest one hundred?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + 4 + -2 + -4. Let f be (9\/p)\/(3\/(-8)). What is the common denominator of -19\/10 and 457\/42 - f\/14?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -652 (base 12) to base 5.\nAnswer: -12201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 4, s: 16}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-10))\/(4\/15830) + (-11)\/22. What is w rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/105)\/((-47)\/329))\/((-40)\/(-300)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d**2 + d - 18. Suppose 20 = 5*m - 0. What is the units digit of u(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(195)\/sqrt(5))\/sqrt(3) - (sqrt(195)\/sqrt(5))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 6) to base 15\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -12*k + 13392. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4332 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3008, 2371, 1304, -205, -2168, -4597, -7504, -10901?\nAnswer: -14800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136433 = 194*g - 1307. Calculate the lowest common multiple of g and 2556.\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-14))\/((-6)\/(-21)). What is the units digit of i\/(0 - 2) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82065*h + 142750 wrt h?\nAnswer: -82065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271 (base 11) to base 8.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6 + w**3 + 0 - 2*w + 2 + 4*w**2. Let h(b) = 2*b + 4. Let x be h(-2). Suppose x + 24 = -5*q - 2*o, 0 = -4*q + 4*o - 8. What is i(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**9*z*z\/(z*z*(z*(z*z*(z**0\/z)\/z*z*z)\/z)\/z))\/(z*z\/((z*z\/(z**(-3\/5)*z*z))\/z*z)*z**(-4\/3)\/z*z))**(-5\/6))**(-23) assuming z is positive.\nAnswer: z**(2737\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(10\/20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 154\/(-55) - (0 + -2). Let p = 1 - 1.2. Which is the biggest value? (a) 0.4 (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**2 + 2*o. Let k(m) = 129*m**2 + 33*m. Let u(v) = 2*k(v) - 33*l(v). Let b = 42 - 37. Let h(x) = 4*x - b*x + 3*x. What is h(u(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 9*d - 6. Let z be r(-8). Let f be z + -3 + (-24)\/(-15). Let c(h) = h + 5. Let u be c(-5). What is the nearest to u in 0, f, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than 9719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**3 + 2*l**2 - 1. Let r be f(1). Let h(t) = -3 + 3 + 3 - r*t - 4*t**2 + t**3 + 0. Is h(6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 + 23*w**2 - 2*w - 20. Let j(d) = 3*d**3 + 25*d**2 - 3*d - 21. Let a(f) = 3*j(f) - 4*o(f). Factor a(v).\nAnswer: (v - 17)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 d, and 1 j when four letters picked without replacement from mjdmd.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffxufufuf. What is prob of sequence fxf?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**4\/2 - 5*t**3\/3 + t**2\/2 + 4*t - 1. Let h be g(-4). Let m(x) = 48 - h + x**2. Let d(c) = 4*c. Determine m(d(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156\/4920)\/((-8)\/((-992)\/403))?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 2*w - 35. Let b be (17 - 15)*w\/(-2). Solve l = -o + 6*o + 20, b = -4*o - l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 44*j = 40*j + 95, 4*j = 2*k - 50. Suppose k*u - 16 + 45 = 0. Which is smaller: -2\/1239 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3346352983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3966.08 centuries to decades.\nAnswer: 39660.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/1900232 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-66) + (-6890)\/(-53625))*3\/2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18232 + -17869. Calculate the highest common factor of 429 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 (base 10) in base 4?\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*12\/(-6). Suppose -k*n + 3*c = -213, -n + 5*c = n - 142. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 713.507 to the nearest ten.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -82*f**3 + 7*f**2 - 5*f + 5. Let z(m) = 40*m**3 - 3*m**2 + 2*m - 2. What is -3*g(o) - 7*z(o)?\nAnswer: -34*o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 2001.1648?\nAnswer: 10005.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 1)\/(1\/(-18)). Let o be 2\/(-6) + (-242)\/(-6). Suppose -5*g + o + 5 = 0. What is the greatest common factor of g and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/37)\/(k*k\/k**(-4\/7)) assuming k is positive.\nAnswer: k**(-673\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2033 is divided by 1014.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 61 and 0.21.\nAnswer: 61.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 149?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 195\/9 - 2\/3. Suppose -3*q = 9 - a. Suppose j - 1 = -2*g + 16, 2*j = q*g - 30. Solve -5*d + g = -2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -54*c - 811. Let y be x(-25). Calculate the highest common divisor of y and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -8013*q**4\/4 + 11554*q + 7933. What is the first derivative of r(d) wrt d?\nAnswer: -24039*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 6*k + 3. Suppose -5*p - 125 = -5*j, -3 + 15 = 4*j. Let o = p + 21. Let g be (-2)\/o + -6 + 10. Give i(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -474*a + 1011*a - 482*a - 990. Let x = 1 + 0. Calculate the remainder when a is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 12, -5*f + 5*m - 17 - 23 = 0. Is 8\/f*(1 - 31) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 13868*h + 67186. Calculate b(-5).\nAnswer: -2154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-10) + (-3)\/(-15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -41*g**3 - 5*g**2 + 5*g + 20. Let a(i) = 40*i**3 + 6*i**2 - 6*i - 19. Let q(t) = -5*a(t) - 6*c(t). Differentiate q(p) wrt p.\nAnswer: 138*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1174*a*p**2*r**2 - 301*a*p**2*r - a*p*r**3 + a*r**3 + a + 2*p**2 + 2*r wrt r?\nAnswer: -2348*a*p**2 - 6*a*p*r + 6*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1000*r - 54004. Determine m(-54).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 7. Let v be g(7). Does -1\/5 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:28 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-4))\/((-3)\/12). Let u = 24 + -26. Sort u, x, 4.\nAnswer: u, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 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: Sort -4, 0, 4, -2, 6, 4697 in descending order.\nAnswer: 4697, 6, 4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 2*j + 16. Suppose 2*f = -2*k, 0 = 3*k - j*f - 9 - 19. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39.6 - -0.8. Let f = n - 33.4. Let v = 0.36 - -0.04. Which is the biggest value? (a) f (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -113 in decreasing order.\nAnswer: 2, 0, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1133101769 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 382 = -9*z + 4*z, -2*z - 1937 = -5*u. Let c be 1462\/u + 2\/9. Solve -11*m - c = -15*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)\/z*z)**3 assuming z is positive.\nAnswer: z**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1872 - -1873. Suppose 0 = -4*w - 3*v + 24, w + v - 10 = -4. What is the third smallest value in w, 2, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 190 divided by -38\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 64*p - 64*p + p**2 - 2*p**2. Let y(k) be the third derivative of 0*k**3 + 2*k**2 + 0*k**4 + 3\/20*k**5 + 0*k + 0. Give m(y(t)).\nAnswer: -81*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73.2 - 73. Let p = 1 + -6. Let w be (-3 - -3)\/(8 + -6). What is the closest to w in p, -2\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 59287 and -0.5.\nAnswer: -29643.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -2*f - 7*p + 15, 5 = p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1464 and 1083726.\nAnswer: 4334904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2497595809 to the nearest integer?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**3 - m**2 + 7*m + 9. What are the prime factors of r(5)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 > 773777\/1707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2420514ml in litres?\nAnswer: 0.0002420514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -65, -70, -77?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*w - 1162, w - 226 = -3*u - 0*u. List the prime factors of (w\/(-6))\/((-24)\/36).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**9*y**(2\/5))\/((y\/(y\/(y\/y**(-2\/9))))\/y**(-2)))**(-4\/21) assuming y is positive.\nAnswer: y**(-1112\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(48))*5 - (sqrt(12) + sqrt(144)\/sqrt(48)))\/(2*((-1*sqrt(4) - sqrt(4))*-3 - -1*sqrt(16))) + 5.\nAnswer: -13*sqrt(3)\/32 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2817a + -17a?\nAnswer: -28349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 641142 to the power of 1\/2, to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253706620, -507413242, -761119864?\nAnswer: -1014826486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 59 = -5*f - g, g + 4 = 0. Let t be 12\/(5 + -9)*80\/(-4). Suppose -4*v + 6 = 2*d, 2*v + t = -3*d + 61. Solve 5*k + f = 0, 4*p - 9 = -3*k + v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/21 - 27\/(-84)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -17*w**6\/30 + 3*w**4\/4 - 20*w - 5. Let s(b) be the first derivative of k(b). Find the third derivative of s(h) wrt h.\nAnswer: -408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12718*x + 2784*x + 12829*x + 442*x - 6330*x to n*x + j and give n.\nAnswer: 22443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -61555, -61670, -61785, -61900, -62015?\n\"Answer: -115*p - 61440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13779 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0455345ng in micrograms?\nAnswer: 0.0000455345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 189831261.6 + 8.09?\nAnswer: 189831269.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -93. Find the third derivative of 0*m**4 - 18*m**v - m**4 - 25*m**2 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-2 + -10 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 8:01 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(704) + (sqrt(704) - (sqrt(704) + 1)) + 2 + sqrt(704) + 3)*-4.\nAnswer: -192*sqrt(11) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47006 - 1284?\nAnswer: 45612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 + (-1182)\/(-27). Let o = -47 + i. Let w be 7 + 1*(-4 + 1). Sort o, w, -1 in increasing order.\nAnswer: o, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 3. Suppose -17 - 13 = -10*o. Suppose 0 = -3*d + r + 12, o*d = -0*r - 2*r + 3. Calculate y(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**4 - y**3 + y**2 - y. Let l(s) = 6*s**4 - 2*s**3 + 8*s**2 - 4*s. Let j(o) = l(o) - 5*m(o). Find f such that j(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -22.5. Let q = -19\/12 - -223\/156. Let j = 19\/14 - -1\/7. Put c, j, q in descending order.\nAnswer: j, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 25 = -5*f + 21, 0 = 4*f - 4*v + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h + 50*h - 62 = -15*h - 2*n, 5*n - 11 = -h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2350046*r*u**3 - 21*r*u + 1808*r - 10*u**3 + 2*u**2 + 3*u wrt u?\nAnswer: 14100276*r - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1232?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 32 = 3*r. Suppose 4*f - 36 = -3*v, f - 11 = v - 2*v. Suppose 3 = -3*j + 2*m + v, 23 = 5*j + r*m. What is the remainder when 17 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = -3*b + 299. What is the remainder when b is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -15*d**2 + 100*d - 7. Give q(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -12. Solve n*r + r - 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 17*n - 21. Calculate r(17).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.15 (b) -15 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 45*t - 107. What is the least common multiple of o(25) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + p = 2, 2*m - 4 = -p - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19245552 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -22*n + 256. Give a(13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25325.\nAnswer: 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 0.1 (c) -1.4 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/24 + -5*5\/20.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 1670762370?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 134, 130, 126?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104 - 99. Suppose 0 = 5*d + a*g - 3*g - 34, 2*d = 4*g + 28. Solve 6*t - d*t = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/(h*h**(5\/3)))\/h)*h)\/h)\/(h\/h**11))**4 assuming h is positive.\nAnswer: h**(164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 30. Solve 5*r - p = 2*x - 0*x, 10 = 3*x + 2*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -1\/11, 6\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11146 = -13*a - 3346. What is the second derivative of -1237*d + 9*d**5 + 500*d + 135*d**5 + a*d wrt d?\nAnswer: 2880*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818570693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -19*u**2 - 447*u - 4. Let b(i) = 43*i**2 + 895*i + 9. What is -4*b(z) - 9*n(z)?\nAnswer: -z**2 + 443*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*c = 197645, 78*d - 4*c - 395280 = 74*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdp when three letters picked without replacement from ppdp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.604 + -9.404. Is d at most -288.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/((-27)\/5) + 3. Let k be (-2)\/(-6)*(1 - -1). Let 8\/9*o**4 - g*o**2 + 8\/9*o**3 + 4\/9 - k*o**5 - 2\/9*o = 0. Calculate o.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + 1 + 1 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191165 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16830.\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 1. Let c(o) = -9*o**2 + 4*o + 2. Let t(a) = -4*b(a) - c(a). Determine t(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b. Let w(l) be the second derivative of -l**4\/6 + 5*l. Give x(w(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) - (-39)\/(-4). Let s = 67 + f. Suppose -3*m - s = -7*m - 3*d, 2*m - 27 = -d. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 - -0.361\nAnswer: 0.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.18 (b) -261 (c) -3 (d) 1 (e) 3 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-16) - (-1198)\/8. Let a be -5 + 294\/(3 - -3). Suppose 108 = -0*o + 2*o - 4*l, 3*l = -o + a. What is the greatest common divisor of o and p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 13. Let t(k) = k**3 - 7*k**2 - 10. Calculate t(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782583452?\nAnswer: 2, 7, 4999, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1775863, 7103443, 15982737, 28413739, 44396443, 63930843, 87016933, 113654707?\n\"Answer: -y**3 + 1775863*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88400008 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 919166*y**4 - 1642236 with respect to y.\nAnswer: 3676664*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578*t - 582*t + 1161*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f = -2*r + 55, 5*r - 123 = 2*f. What is the greatest common divisor of 10 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-19 - (-53 - (-8 + -11)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4457373a - 2?\nAnswer: 44573738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = g - 1293, 2*g - g - 1289 = 3*q. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 287*z**2 - 5*z + 6. What is the hundreds digit of j(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -4. Let u = y + 1. Let t = 0.1 - 0.3. Which is the third smallest value? (a) u (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9519570 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (12 - (-18 + 7 + 6 + 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.33 at most 25869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1709 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -489, 2, 3, 40, -5, -3 in descending order.\nAnswer: 40, 3, 2, -3, -5, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003008662572 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.87694059 + -0.16?\nAnswer: -41.03694059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 30814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2. Let m = -0.00006 + y. Round m to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25.93 at most as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 1 = -5, 3*a + 46864*n + 58 = -5*a + 46877*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*c - 331 = 0, -l - 3*l = 5*c - 687. Let k = l + -46. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -857 and -0.06?\nAnswer: 51.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 11:23 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 29946098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -136, -325, -590?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 0. What are the prime factors of (d\/11)\/2 + 994\/22?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f\/f**(-1\/4))\/f)\/f)**(-23)\/(((f*f\/f**6)\/f)\/f**(-4)))**(-16) assuming f is positive.\nAnswer: f**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 2*t + 1. Let b(s) = -10*s**2 + 10*s - 3. What is -b(l) - 4*i(l)?\nAnswer: 2*l**2 - 18*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -8. Let t(c) = c**3 - 27*c**2 + 16*c - 418. Let g be t(27). Solve -1 - g = -u*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 34*o**2 + 64*o + 3. Let k be r(32). Suppose -4*i + v = -11353, i - k*v - 185 = 2645. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(p + 4 + 5 - 6) + (2 - 2 - 1)*(-p - p + 3*p) + 10*p - 4*p - 7*p + (-2 - p + 2)*(4 - 5 + 2).\nAnswer: -p + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12372887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - 58. Calculate the highest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 2*m + 2. Let i be u(-8). What is the greatest common factor of i and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 o when three letters picked without replacement from ohohohhohg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 17*b**2 - 17*b**2 + 3335*b**3 + 263*b**3.\nAnswer: 3598*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 11:45 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.592704 - 994120494?\nAnswer: -994120493.407296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 - -1.5. Let p = 10.1284 - 1.1284. What is the nearest to p in 2\/19, i, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2912 = 8*b - 24*b. Is 180 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**5 - 16*x**4 - 12*x**3.\nAnswer: -4*x**3*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321 = -65*k - 4*b, 4*k + 3*b + 64 = 81 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2375.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**5 + 21*p**4 - 54*p**3 + 6*p**2 + 51*p - 27.\nAnswer: 3*(p - 1)**3*(p + 1)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rohr when four letters picked without replacement from {o: 1, h: 2, r: 5, n: 1, w: 6}.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9584 - -2?\nAnswer: 9586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 4, z: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39706 or -11951402\/301?\nAnswer: -11951402\/301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 3*q + q)*(-37 + 37 + 47*q**2) to s*q**3 + k*q**2 + u + t*q and give s.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, r: 7, f: 6}. What is prob of sequence rfyy?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*k + 1325 - 1363 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6494 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (50\/8)\/((-2)\/(-208)) a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10021 (base 3) in base 6?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 17. What is the highest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*b - 5. Sort 1, 5, b.\nAnswer: b, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 12*m - 13. Let c(q) = -12*q**2 - 13*q + 1. Calculate the least common multiple of d(9) and c(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 12*q**2 - 644*q - 20. Let d be z(55). Let h be (-15)\/(-4)*((-32)\/6)\/(-1). What is the highest common divisor of h and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5))**23*(((j\/j**10)\/j)\/j)\/(j*j**(-2)*j) assuming j is positive.\nAnswer: j**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (197 + 162 + 409)*(4 + t - 4) in the form i + m*t and give m.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3117105653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14396 by 2.\nAnswer: 7198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001 + -100?\nAnswer: -110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 6. Let y = d + -35. Solve y = 3*l + 2*z + 4, -5 = 5*l + 5*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.83? (a) 0.5 (b) -0.4 (c) -4 (d) -0.3 (e) -0.08 (f) -1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r = -12. What is the common denominator of 77*r*2\/(-96) and -21\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 46 - 48 = 0. Calculate the highest common factor of u and 423.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 296*w**2 + 331*w wrt w.\nAnswer: 592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538147.\nAnswer: 538147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -568135.8 rounded to the nearest 1000?\nAnswer: -568000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02504 rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 12, 11, 0.0601?\nAnswer: 0.0601","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/4720 and 33\/64.\nAnswer: 18880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47915436?\nAnswer: 2, 3, 179, 22307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/380*(-810)\/4)\/(78\/(-208)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 5, -3, -1.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -548 divided by 2?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 2*y**3 + y)*(38 - 59 - 2*y + 102) as v + u*y + i*y**3 + x*y**4 + a*y**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.5 or -0.061?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-4) - -1 - -2. Let a = 2 - 4. Let s = a + 3. Is h at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-118215)\/444)\/71)\/((-12)\/(-128))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29267?\nAnswer: 7, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -3686\/205?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2738, 5471, 8202, 10931?\nAnswer: 13658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -22. Let f = -18 - x. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 4717\/(-265) + 28\/10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 39*m**2 - 13*m - 98. Let g(p) = 20*p**2 - p. Determine -2*g(q) + k(q).\nAnswer: -q**2 - 11*q - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -3 + 51. Suppose 0*u - u - 3*r = 6, 4*r + 7 = -u. Let j = u - i. Solve 5*t + 3*c = 23 - j, -4*t - 3*c = -15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)\/sqrt(4)*5 + -1 + (1*sqrt(200))**2.\nAnswer: 15*sqrt(2) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*v = 2*h - 4, -3*v + 1 = -h. Let u(l) = 4 + 86*l - 82*l + 1. Let n(t) = -13*t - 16. Give h*n(o) + 7*u(o).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/33 and -34\/160977?\nAnswer: 1770747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 18*t + 8. Let m(k) = -14*k - 9. What is -5*f(i) - 4*m(i)?\nAnswer: -34*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83 + 83 + 36*a**2 to the form p*a**2 + z*a + k and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j. Let n be ((-177)\/236)\/((2\/(-1))\/(-8)). Let w(d) = -1334*d - 92. Let u(r) = -43*r - 3. Let f(q) = n*w(q) + 92*u(q). Determine a(f(x)).\nAnswer: 92*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i + 14*i + 815 = 195*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 42*d - 228. Let g be ((-4)\/(-6))\/(498\/(-5229)). What is t(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 9*c**2 + 8*c - 2. Let p be w(8). Sort 1\/18, 0.5, p.\nAnswer: p, 1\/18, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119204945 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3956319 divided by 47?\nAnswer: 84177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 76 = -4*v, -8*u + 2*v - 45 = -93 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/35)\/((-2)\/10). Suppose -4*a + y*u + 52 = 0, 2*a + 2*u = -2*u + 4. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -9599?\nAnswer: 28\/9599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aataaaaaatataaaaaaat. Give prob of sequence aa.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -2 + 3 - sqrt(13)*-1*5.\nAnswer: 1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-28)*q)\/(q\/(q*q**13*q))*((q*(((q**(-4\/21)\/q)\/q*q*q)\/q)\/q*q)\/q)\/q**(1\/2) assuming q is positive.\nAnswer: q**(-617\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 247338081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - b - 7. Let m be a(7). Let d = -52 - m. Suppose d*y = 15*y - 320. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6905*v**2 + 2815 - 5649 + 2834.\nAnswer: -6905*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klwkzxuw. What is prob of sequence lk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4126 + -2457. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73656368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33455815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/10572 and -7\/656284?\nAnswer: 1734558612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1079, -4282, -9605, -17048?\nAnswer: -26611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/7958 and 3\/22?\nAnswer: 87538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.958 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 15*z**3 + z**4 - 1 - 14*z**3 - 4*z**4. Factor l(r).\nAnswer: -3*r**2*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -167\/21 - -23\/3. Let k = 72 + -37. Which is the closest to k? (a) p (b) 2\/9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -3*i - 8. Suppose -2*c - 4*z = i, 5*c - 2 = 4*c - z. Solve 2*q + 3*a = 4*q + 19, 0 = c*q - 3*a + 34 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 732 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52081061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 3 + 9*c**2 + 0*c + 6*c + 3*c + 4*c**3.\nAnswer: 3*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/45 and 73\/2660.\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*v - 923800 = -104*v. What is the greatest common factor of 40 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 108185252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128\/5*d**2 - 544\/5 + 2\/5*d**3 - 536\/5*d.\nAnswer: 2*(d - 68)*(d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/26)\/w)\/w)\/(w\/w**(6\/5)) assuming w is positive.\nAnswer: w**(-229\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((3 - 2) + 2)\/1. Suppose 0 = -4*y + h*a + 16, 4*y + 4*a + 13 = y. Calculate the highest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 197\/9 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 12:46 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 454294576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 819 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 y = 12 + -9. Let m = y + 1. What is the second derivative of -11*q**3 - 3*q - 4*q**m + 11*q**3 wrt q?\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -38\/5. Let g = -126 - -251\/2. What is the closest to i in -2, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) - (-4)\/6. Let c be (5\/(-3))\/(25\/(-15)). Let g = j + c. Calculate the greatest common divisor of g and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 18 = 16. Which is smaller: 2\/195 or r?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 796064199 to the nearest integer?\nAnswer: 28215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**3\/6 - 2*k**2 + 20*k. Let z = -1 - 4. Let v = z - -10. Calculate s(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772179 is divided by 193041.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -283 and 3.\nAnswer: -849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kll when three letters picked without replacement from {l: 2, k: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -440*i**2 - 167653*i - 4965. Calculate u(-381).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 34. Let w = 122.1 + -122. Which is the smallest value? (a) 0.2 (b) 4 (c) n (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1459*-0.3\nAnswer: -437.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4\/5*y - 12\/5*y**2 + 12\/5 + 4\/5*y**3 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 26*j**2 - 22*j + 15. Let n be f(-27). Let c be 2\/4*1 + (-900)\/n. Solve 5 = c*t - 7*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5.76, -2, -20\/11, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -239 + 249. Solve 4 - 3 = t, 2*t = -2*m + b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*(-1)\/3)\/(2\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2684 + 892 - 785*j**3 + 893 - 2*j**2 + 0*j**2 + 896.\nAnswer: -785*j**3 - 2*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24167 is divided by 237.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-21))\/((-2)\/7)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404 = 532564*t - 532538*t for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -152\/17 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.9168, 1300, 5?\nAnswer: -2.9168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10558 + -10554. Let a be (16\/12)\/4*201. What is the closest to -0.1 in -4, y, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -515650 + -6?\nAnswer: -515656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114219192*r**4 + 2*r**2 + 5*r - 3408408 wrt r?\nAnswer: 2741260608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -36026*d - 144117. Calculate q(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 670*h**2*l**3 + 311*h**2 + 18*h*l**2*m + 5*h*m wrt l.\nAnswer: 2010*h**2*l**2 + 36*h*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -4.7. Let h = q - 4.7. What is the third smallest value in h, -1\/8, -1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -14) + -14 - (15 - -77 - (0 + 0))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27, -82, -173, -300, -463?\n\"Answer: -18*s**2 - s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -795\/8 + 99. Suppose -455 = -84*o + 20*o - 27*o. Put o, g, -0.15 in decreasing order.\nAnswer: o, -0.15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**4 - 37*t**3\/3 + 31*t**2\/2 - 3*t + 4. Let l(r) = -r**3 - r**2 + r - 1. Let c(i) = 44*l(i) - 4*x(i). Factor c(p).\nAnswer: -4*(p - 2)**2*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-12) + 4)*(-756)\/45. Let a be (-16)\/m + 1842\/(-6594). Is 0.2 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 14*p + 89. Is m(15) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3591)\/(-108) + -29 - 3. Determine k, given that -5\/2*k**3 + 0 + 5\/2*k - s*k**2 + 5\/4*k**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57713582 and 398.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + (sqrt(300) - (sqrt(300)*1 + 1))))**2 + ((sqrt(300)*3 + -2)**2 - (sqrt(300) - (sqrt(300)*1 + 2)**2)).\nAnswer: -90*sqrt(3) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 26*s**2 - s - 24. Suppose -2*n + n - 22 = -u, -3*u = 3*n + 90. Let r be k(n). Which is the biggest value? (a) -0.227 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 16, -28, -7 in increasing order.\nAnswer: -28, -7, 4, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2179 is divided by 322.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2021*c + 3718*c - 1697*c - 722*c**2.\nAnswer: -722*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(378))\/sqrt(6).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2437837601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 1:57 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 42*l**2 + l. Let g be b(-1). Let j = g + -26. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*l - 71*l + 136*l - 75*l**2.\nAnswer: -75*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 31, -0.3?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -265, -1053, -2349, -4141, -6417, -9165?\n\"Answer: 2*q**3 - 266*q**2 - 4*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*v - 432 = 265*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 15. Let z = -12 + c. Let k be ((-126)\/z)\/((-3)\/(-10)). What is the greatest common divisor of 28 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 12, j: 1}. What is prob of picking 1 z and 1 l?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 15*m + 4. Let b(j) = -j**2 - 7*j - 2. What is 9*b(c) + 4*l(c)?\nAnswer: -c**2 - 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 233433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 - 4) + (672\/6 - -4). What is the highest common divisor of 82 and d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 128*o**4 - 183.\nAnswer: 512*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 96880162654?\nAnswer: 96880162667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -0.06, 0.476, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) 0.1 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114200 by -8.\nAnswer: -14275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -0.4. Let o be ((-33)\/(-20))\/((-9)\/(-6)). Let f = -2\/5 - o. What is the closest to i in -0.5, 5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -222.1 or -0.024?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131.878 + -0.122. Let p = i - -132.0308. Round p to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 38*a**2 - 107*a + 90. Let l be p(35). Let x(b) = -b**2 - 11*b - 5. Let v be x(-5). Solve -c = -v + l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 302 - 214. Let y = s + -86. What is the second smallest value in -2, y, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 938\/(-8) - (-1)\/4. Let m(g) = -15*g**2 - g + 16. Let f be m(-3). Is f at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(20\/(-16)) - -107. Suppose -4*l - d - 17 = 0. Let a be 1*(-4)\/4*l. Solve -11 = v + 3*q, -4*v - a = 4*q + q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.3*3604404.\nAnswer: 65960593.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 45, -0.5, -0.3, 1?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*(sqrt(18) + 4) - (0 + 0 + sqrt(128))))**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74076532?\nAnswer: 2, 18519133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42493?\nAnswer: 11, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w + 24 = j, -w + 6 = 2*j. Suppose -3*a + w = -a. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-2 + -11) - -11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2\/21 - 72*b\/7 + 1944\/7 = 0.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49612?\nAnswer: 2, 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**2 - 241026*l - 13506864 = 0?\nAnswer: -56, 80398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbblbljbljolbbbljlll. What is prob of sequence bo?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -123544 divided by -123544?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 339455434*b**2*d**3 + b**2*d**2 + 472*b**2*d + 17*d - 1402 wrt d?\nAnswer: 2036732604*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2737207152 to the power of 1\/2, to the nearest integer?\nAnswer: 52318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21080899 is divided by 94.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08296 (b) -10 (c) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -11*q + 5. Suppose -36 - 12 = -3*b. Let p(r) = -34*r + 16. Determine b*u(h) - 5*p(h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -48110\nAnswer: 48107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/((m**(-9)*m)\/m)))\/(m*m**28)*m**(-2)*(m*m**(-1\/6))\/m)**(3\/10) assuming m is positive.\nAnswer: m**(-247\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 - (0 + 5 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 13423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a**5\/7 + 516*a**4\/7 - 3064*a**3\/7 + 696*a**2 - 388*a + 372\/7 = 0. Calculate a.\nAnswer: -31, 1\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*m**2 - 37 + 34 + 101*m + 136*m**2.\nAnswer: -45*m**2 + 101*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/12))**(-33)\/(i**(-6)\/i*i**(-3\/11)) assuming i is positive.\nAnswer: i**(441\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1029 and 5439?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 21. Suppose 0 = -v - j*y + 12, -y = 2*v - 2*y - 10. Suppose 78 = -3*l + v*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -180*x**4 + 572*x**3\/3 + 78*x**2 - 8*x - 67. Determine l so that i(l) = 0.\nAnswer: -1\/4, 2\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g**5 - 22*g**4 - g**2 + 289*g.\nAnswer: 300*g**2 - 528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.31313 rounded to 2 decimal places?\nAnswer: 50.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 + x**2 + x**3 + 2*x**2 as w*x**3 + n*x**2 + b + s*x and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 472.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -9 + (13 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 368.544 kilograms to tonnes.\nAnswer: 0.368544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 - -5. Let t = a - 3. What is the closest to -0.1 in t, 2, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.7 - 18.7. Let v = 7.2 - 2.2. What is the closest to -1 in v, c, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 191917215?\nAnswer: 1535337720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*h**3 - 90 + 18*h**3 + 15*h**3.\nAnswer: -9*h**3 - 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 249?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -85. Let f be (-19*(-4)\/(-12))\/((-6)\/(-54 + 0)). Let s = f - p. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4*f + 40 = 0, 13*u = -6875*f + 6873*f - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 3. Let w be h(3). Let z be w\/4*(-10)\/3. Suppose 3*d + 0*d - 5 = -k, -5*k - z = 0. Solve 0 = p + d*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52296 times 4\nAnswer: -209184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 6 - 2) + 4695573. Let o = v - 75090131\/16. Let m = o - 2447. Find the common denominator of m and 3\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199*a**3*i**3 - 582*a**3*i + 6270*a**2*i**2 - 2*i**3 wrt a?\nAnswer: -1194*i**3 - 3492*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 - -1) + (-116 + 180 - 77)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 12:46 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, 2129, 7201, 17089, 33401?\nAnswer: 57745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -2, 101\/4, -5\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 + l**2 - l + 1. Let w(p) = -21*p**3 - 55*p**3 + 15 - 6*p + 6*p**2 + 20*p**3. Let z(t) = -6*u(t) + w(t). Differentiate z(b) wrt b.\nAnswer: -132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*d + 10, -5*d = 31*m - 35*m - 14. Factor -2\/9*p**2 + 0*p**3 + 1\/9*p + 0 + 2\/9*p**m - 1\/9*p**5.\nAnswer: -p*(p - 1)**3*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsd when three letters picked without replacement from cccoddidccis?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513355301 to the power of 1\/3, to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118850105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**16\/(u\/(u**(-4)*u*u)))\/(u*(u\/u**(2\/19))\/u*((u*u\/(u\/((u*u*u**(-6\/13))\/u))*u)\/u)\/u) assuming u is positive.\nAnswer: u**(2857\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*i - 131*i + 69*i - 109*i**2 - 3*i**2.\nAnswer: -112*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1. Let a(t) = 3*t + 1. Let x(b) = a(b) - 6*v(b). Let l be x(3). What is the tens digit of 2008\/32 - 3\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 6:23 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -75*u**2. Let k(q) = -14*q + 16. Give w(k(l)).\nAnswer: -14700*l**2 + 33600*l - 19200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542125 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-216)\/(-5805))\/(28\/35).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 13 - 68 - 38*i + 39*i + 9.\nAnswer: i - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 358 (base 9) to base 2\nAnswer: 100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6169199 and 7483.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -13*b - 135. Let l(q) = 2*q**2 - 21*q + 14. Let n be l(9). List the prime factors of m(n).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxkeeseksswwk. Give prob of sequence xskw.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(225)\/sqrt(3) + 1.\nAnswer: 1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/5 + 3256*r**2\/5 + 3286*r - 32660 = 0. What is r?\nAnswer: -10, 5, 1633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*x**2 - 890*x**2 - 170*x**2.\nAnswer: -1109*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 198404 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(3 - 1 + 2)*(281 + 545*f - 281) in the form y*f + w and give y.\nAnswer: -2180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t = 840. Does 30 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800 = 100*n - 50*n. Let b be -4 + 120\/(-12) + n. Let -6\/11*v + 12\/11*v**b - 6\/11*v**3 + 0 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3722*r - 262 wrt r.\nAnswer: 3722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 40*h + 265. Determine j(0).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -w + 20527, 3*y - 54612 - 6897 = -3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 + c**2 - 1. Let g = -88 + 87. Determine v(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.381 and 0.1029.\nAnswer: -0.2781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (12 - 1908\/162) + 1790\/(-36) and -35\/13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17087.\nAnswer: 7, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - o - 311 = 0, -1076 = -11*c - 2*o - 375. What is the remainder when c is divided by 1*14 - (-2)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-6)*a))\/a)\/(a*a\/(a*a\/((a*a*a**(2\/19))\/a)*a)*a)*(a*a\/(a**0*a))**(5\/2) assuming a is positive.\nAnswer: a**(243\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -8. Let k(c) = -5*c**3 + 6*c**2 + 3*c - 3. Is k(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2243083*u**4 + 1606927 with respect to u.\nAnswer: 8972332*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 - 11*y**2 + 8*y - 11. Let t be g(5). Solve t = -2*a - 6*d + 2*d, -2*d = -2*a + 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**28*l\/(l\/((l\/(l\/l**(-10\/7)*l*l))\/l)))\/(l**(5\/7)*l**(-2\/7)))**4 assuming l is positive.\nAnswer: l**(-892\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*b + 2*b + 5, 5*b = -5*c + 5. Let w(g) = 4*g - 6. Let z be w(c). Solve 0 = z*a - 0*a + 2*m, 5*m = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -5.3, -4, -2, -18 in descending order.\nAnswer: -0.01, -2, -4, -5.3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3745987 and 1749.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 899 (b) -0.7 (c) -472\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -91, -87, -83, -79, -75?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 7*r = -3. Suppose n + 10 = 3*n. Sort n, r, -5 in decreasing order.\nAnswer: n, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - h - 2. Let w be q(3). Suppose -2*u = -w*s - 8, -2 - 8 = -4*u + 5*s. Suppose u*c - 3*c = k - 115, -k = 5. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9 + 1 = 0. Let w be (-4)\/(-2 + x + 1). Let i(j) be the third derivative of -j**5\/60 - j**4\/12 + j**3\/2 - 588*j**2. Calculate i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 q when three letters picked without replacement from kqdmqqppopqd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 + 69.02. What is the fourth smallest value in -1\/2, -4, n, -3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 6 - 3*m)*(55*m**3 - 6*m**3 - 4*m**3).\nAnswer: -135*m**4 + 90*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 231\/(-5) - (-16)\/(-20). Let a = c - -268. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 291816, 291806, 291790, 291768, 291740, 291706, 291666?\n\"Answer: -3*o**2 - o + 291820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 396755856 divided by -44083984?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 11:14 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -2325a9?\nAnswer: -2325a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = -11. Calculate the common denominator of 20 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6189949895?\nAnswer: 5, 59, 20982881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2095 + -3985.8.\nAnswer: -3986.0095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-253)\/(-253))\/(6\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80881 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1848543 <= -1848572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + 103. Suppose -4*s - 15 = -m - 3, 5*m - j = 5*s. Calculate the common denominator of (-4)\/m*(-67)\/(-11) and 61\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-6))\/(((-2040)\/(-130716))\/34) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y**2 - 88*y - 17. Let v(b) = 7*b**2 - 89*b - 16. Let r(n) = -4*s(n) + 3*v(n). Let p be r(28). Which is smaller: 46 or p?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + (1 + sqrt(180))*-1 - (1 + sqrt(180) + (sqrt(180) - (sqrt(180) + 3 + sqrt(180)))))*-5)**2 + -4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39122371 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 4 + 2*c)*(-2 + 1 + 3)*(-9*c**3 - 3*c**2 + 3*c**2) to the form q*c**3 + y*c**4 + n*c**2 + f*c + l and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5004?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5 - 1 - 3*r**2 - 7*r**3 - 3*r**3 + 3*r - 2*r. Suppose -2*w - 2 - 2 = 0. What is the units digit of m(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154447 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.4071.\nAnswer: 0.4071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 212273146 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.2 - -23.11. Let p = v - -0.78. Let j = -0.363 - p. What is j rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*l + 166*l + 88 = -202 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 343871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - -4.02. Let x = 34 + -34. Let s = 577 + -577. Which is the nearest to s? (a) g (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 8. Let m be z(-6). Let i = m + -3. Let l = 4.6 + 0.4. Which is the biggest value? (a) 0.4 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 2*c - 1. Suppose -5*h = -3*o + o - 17, 4*o - 2 = -2*h. Let d be n(o). Let x = -24 - -49\/2. Which is greater: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (168\/98)\/((-16)\/(-28)). Solve -14 = -2*k + 2*n, r*k - 1 = 2*k - 2*n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/19 + 27\/209. Put -2, 5, j in decreasing order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z + 18 = 0. What is the highest common factor of z and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 12. Let u(b) = -b + 9. Let m(v) = -3*t(v) - u(v). Let r(i) = 13*i**2. Give m(r(a)).\nAnswer: -26*a**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1297839 to the nearest integer?\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) 4 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40231654397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or -20?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 5, -1, 3, -5 in decreasing order.\nAnswer: 48, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 4*m - 2 = -2*h, -3*m = 3*h + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8427*t**4\/5 - 80136*t**3\/5 + 169842*t**2\/5 + 19656*t + 2535.\nAnswer: 3*(t - 5)**2*(53*t + 13)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66373997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -186*v + 194*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 5*x + 26, 27*x = 2*t + 26*x + 8 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 30*v - 30. Is x(-11) 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\/7, 4, -20, 0.3, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x + 0*x - 9*x + 3*x**3 + 17*x.\nAnswer: 3*x**3 + 21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/24)\/((-3)\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -117525 divided by -39175?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.804 - -2.504. Let t = -15.3 + 14.8. What is the nearest to -0.1 in 5\/9, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*i**3*k - 94*i**3 - 33127*i**2*k - 17*i + 19 wrt k.\nAnswer: -11*i**3 - 33127*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/((-441)\/(-14)))\/((-12)\/(-35)). Let x = 3.9 - 4.1. Sort g, x, -1\/3, 0.2 in increasing order.\nAnswer: -1\/3, x, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -121, -11161 in decreasing order.\nAnswer: 2, -2, -121, -11161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 588685 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*p - 154 + 116 = 8*p - 3*g, 2*p + 4*g = 84 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20923360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - (-1 + 1)) + -3. Suppose 22 = w*g + 3*y - 6, 5*g = 2*y + 35. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*j - 8666, -7*j + 8669 = 3*h - 12*j. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 9 = -7, -12 = -2*h + 4*j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06959057 to 3 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -192121 - 0.1?\nAnswer: -192121.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*m**5 + 27*b**3 - 47*b*m**6 - 2*b*m**2 + 5*m**2 wrt m?\nAnswer: 120*b**3*m**2 - 5640*b*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1078, -1135, -1190, -1243, -1294, -1343, -1390?\nAnswer: -1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2450 - 111402?\nAnswer: -114152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00185303693 to six decimal places.\nAnswer: -0.001853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ffnnfnfnfnfff.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/16 in 2\/495, 6, -1?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 4:42 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 48 = -3*f, -f = 4*l - 35 - 14. Suppose 12*q - 35 + l = 0. Solve -g + 4 = -3*c + 10, g + 3 = q*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = -0*z, -4*o + z - 27 = 0. Let j = 5 - 11. Are o and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*g + 2*g - 30*g - 28*g + 18*g.\nAnswer: -79*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(sqrt(28)\/sqrt(4)))\/sqrt(2)*-5)\/((sqrt(128) - (sqrt(128) + -4*-4*sqrt(128)))*5).\nAnswer: sqrt(5)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 152768.82 months?\nAnswer: 1273.0735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 = 7. Let l(w) = -2*w**3 + 4*w**2 + w**3 + 2 + w + 2*w**3 + 2*w**h. List the prime factors of l(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, -7, -15?\n\"Answer: -8*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001369832236 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33969 - -33999. Solve 2*b - 9 = 5*c, -96*c - 9*b = -95*c + z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126907 is divided by 42295?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - 3*s**2 + s**2 + (-2*s + 0*s + 4*s)*(-s + 1 - 1) - 4*s**2 + 2*s**2 + 3*s**2 - 1 + 1 - 2*s**2 + (-s + 0*s + 5*s)*(5*s - 2*s - 4*s).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/7509 - -137668\/22527. Calculate the common denominator of g and -45\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/6 (b) -36.9 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347674291?\nAnswer: 71, 4896821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -6609?\nAnswer: 26436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -45) + (4 - (7 - 12) - (-28 - -29))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in -1\/2, -3\/5, -4, 5, 1\/761?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + sqrt(1323) + 0)**2.\nAnswer: 504*sqrt(3) + 4017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 1616 = 1676. Which is the closest to 4? (a) z (b) -13 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -393 or -395?\nAnswer: -395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, -0.1, 5, -9258, 0.02, -0.3, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1206 divided by 9.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 6 - 6*r**2 - 13 to z*r**2 + d*r + x and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/17, 0, -1, -4?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 65\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 5, -3\/8, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6509, 12676, 18113, 22454, 25333?\n\"Answer: -61*p**3 + p**2 + 6591*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 155278831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 62*d + 436. Let r be w(49). Calculate the greatest common factor of r and 600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 22*i**3 + 29*i**3 - 49*i**3 + 39 in the form d*i**3 + y*i + v*i**2 + n and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 459720 and 240.\nAnswer: 919440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -995171 and -0.2.\nAnswer: 199034.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*c - 47 = 0, 0*c = -2*y - 3*c + 94. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 83*j + 98*j + 1220 + 713 - 184*j to o*j + r + q*j**2 and give r.\nAnswer: 1933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*q - 902 - 577 = -4048 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 15*h - 2. Let w(k) = -25*k - 18*k - 23*k + 112*k - 30*k - 3. What is 6*q(f) - 4*w(f)?\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 14 - 10 + 3*s. Let d be w(2). Solve -l = 3 - d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -473, -950, -1427?\nAnswer: -1904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1*q)**(-19)*(q**(-1\/4))**(-1\/3))\/((q\/((q*(q\/((q\/q**(-1))\/q*q)*q)\/q*q)\/q))**(2\/5)*q\/(q*q**(-2)\/q)*q*q**(2\/3)*q) assuming q is positive.\nAnswer: q**(-3779\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1302 and 39804.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.0171 + 6213551581\nAnswer: 6213551582.0171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -37, 0.1, 1, -0.2, -0.17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -12*d + 16*d. Let a be 4\/(-14) + 36\/d. Is a smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11003203 (base 4) in base 7?\nAnswer: -114241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + o + 14. Let m(k) = 5*k**2 - 4*k - 41. Let a(h) = -3*d(h) - m(h). Let x(f) = -12*f**2 - 8*f + 6. Calculate -10*a(y) - x(y).\nAnswer: 2*y**2 - 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*t = 791333 + 26608. What are the prime factors of t?\nAnswer: 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + q + q - 15*q**3.\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7524 and 644480?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Product of -1910 and -2.\nAnswer: 3820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/2*(-8)\/(-12). Let n be (r\/6)\/(5\/15). Let k = 10 + n. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (238*t - 1492*t**2 + 221*t - 460*t)*(0 + 1 - 2) to i + v*t + w*t**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + a6?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 296590 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53008*o**2 - 113*o + 170.\nAnswer: -106016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + eba2c?\nAnswer: eba29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 3, 63, 14, -4 in decreasing order.\nAnswer: 63, 14, 3, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34699 is divided by 8480?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-5))\/((56\/44000)\/7). What is the highest common divisor of s and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(55) - 2*sqrt(55))*-1)\/(sqrt(225)\/sqrt(5)) - (-3 + -2*sqrt(1584) + 2))**2.\nAnswer: 146*sqrt(11)\/3 + 58628\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 21*d - 17. Determine c(10).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34447 - -34447.3. Which is the second smallest value? (a) -0.1 (b) i (c) -3\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 2*u**2 + (-1 + 0 + 2)*(2*u**2 - 5*u**2 + 2*u**2) - 560*u**2 + 190*u**2 - 284*u**2 to the form s + k*u + l*u**2 and give l.\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1663\/(-3)*(-32)\/7242. Let o = z - 6\/1207. What is the common denominator of o and -67\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - 4a0df?\nAnswer: -4a0ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 91188.3 and -408.\nAnswer: -37204826.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = x, -3*v = -4*x - 362. Let l be (v\/36)\/(2*(-1)\/(-16)). Find the second derivative of l*a + 19*a**2 - 3*a**2 + 5*a**2 + 13*a**2 wrt a.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ce92a (base 16) to base 15.\nAnswer: -53cb85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(605) - -2*sqrt(605)) + -4 + -5*(sqrt(605) - (-3 + sqrt(605) - sqrt(605)))**2 + -3.\nAnswer: -3077 - 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11880\/(-39 + -33) - -73?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*f + 10, l + f + 20 = 6*l. Suppose 2*m = j - 20, 4*j + l*m + 28 - 86 = 0. What is the remainder when j is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 371 - 77. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.302 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 121625 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 5*o + 48. Let f be s(0). What is the greatest common divisor of 32 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 9*i + 6. Let f be u(-9). Suppose -9*d + f = -8*d. Calculate the smallest common multiple of (4 - (-16)\/(-6))*3 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 66*o - 1952. What is l(-19)?\nAnswer: -3206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.381269 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 102\/7, 2, 0, 23, -16\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*p, 0 = -5*f - 5 + 20. Suppose -d + 11 = p. What is the tens digit of 3*d\/(-12) + 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**2 + 39*d + 29*d - 2 - 67*d. Let m be q(1). Solve -3*s = -m*s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.1. Let p = -0.6 + 1.6. Let x = 0.1 + -2.1. Which is the closest to 1? (a) x (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 b when four letters picked without replacement from {y: 1, w: 2, b: 3, g: 7, d: 3, k: 1}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c93 - 1b28?\nAnswer: -4abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 1332.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from asabrabsbrrbssass?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2. Let h = 0 - d. Which is the second biggest value? (a) -1 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2923, 3, -4, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**46\/(m*m**(4\/13))**10 assuming m is positive.\nAnswer: m**(-2386\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.18942 rounded to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -52*m - 5870. Let q be f(-113). Sort -105, -3, 3, q.\nAnswer: -105, -3, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6066181397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) 1\/5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1392 and 0.07?\nAnswer: 97.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -77b (base 12) to base 2\nAnswer: -10001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 607077, 2428302, 5463685, 9713232, 15176949?\n\"Answer: o**3 + 607073*o**2 - o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83458?\nAnswer: 2, 41729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(288))**2 + (sqrt(2) - (sqrt(2) - (0 + sqrt(18)))) + 4*(sqrt(72) + 0).\nAnswer: 27*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1475174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*z - 17*z - 16. Solve -j = -2*t + z, t - 15 = -4*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901*m = 1450*m + 14267 + 12085 for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20271008, 20271007, 20271006, 20271005, 20271004?\n\"Answer: -i + 20271009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 10:04 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3653582157 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 3*u + 20*u**2)*(-u - u + 0*u) as g*u**3 + y*u + t*u**2 + l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-2\/3))**(-17)\/((a**(-2)*a\/a**(-1\/3))\/((a*a**(-4\/3))\/(a\/(a*(a\/(a*((a*a*a**(-4\/5)*a)\/a)\/a))\/a)*a))) assuming a is positive.\nAnswer: a**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 507*h + 1514. What is z(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 84306 and -0.5.\nAnswer: 84305.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 5*u**3\/3 + 81*u**2\/2 + 44*u - 5. Let b(j) = 2*j**2. Calculate b(v(h)).\nAnswer: 200*h**2 + 3240*h + 13122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14112 or -1501?\nAnswer: -14112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8925800 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**3 - v**3 - v**3 + (v**2 - v**2 - v**2)*(-2*v + 0*v + v) + 17*v - 9*v**3 - 17*v + (4*v - 2*v - 3*v)*(-v**2 + v**2 + v**2) + 7*v**3 - 4*v**3 + 2*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7771 - 0.0989. Let o = k + -0.124. Put o, 5, 7 in decreasing order.\nAnswer: 7, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 70698*k**3 - 141455*k**2 - 3888300*k + 14140000.\nAnswer: (k - 5)**2*(k + 8)*(k + 70700)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33\/15 - (-20)\/25. Suppose -g*j = -1573007 + 37022. Suppose -4*s = u + j, -5*u + 102581 = -2*s - 153444. Round s to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 5850006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*i*i*(i*(i**(-4)\/i)\/i)\/i*i)\/i)\/(i*i**3\/i)*(i**1)**(-1\/7))\/(i**(-6)*i*(i*i*i**4*i*i*i)\/i*i)**27 assuming i is positive.\nAnswer: i**(-785\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/5*((-268)\/(-67))\/((-16)\/(-4)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5336301*o**3 + 185063*o**2 - 4*o wrt o?\nAnswer: 32017806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-447)\/30 - -8)\/(-3)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/451720 and -8\/1770055.\nAnswer: 325690120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)\/(sqrt(9)*-1))\/((sqrt(80) - sqrt(80)*-2)\/sqrt(10)))**2 - (sqrt(2016)*1 + sqrt(56))\/(sqrt(128) - (-4*sqrt(128) + sqrt(128) + sqrt(128))).\nAnswer: -7*sqrt(7)\/12 + 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 0*d)*(0 + 0 + 2*d) - 305*d**2 - 78*d**2 - 396*d**2.\nAnswer: -783*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.21 and 3.2?\nAnswer: -0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9979686 divided by -554427?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25382 by -7.\nAnswer: 3626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 110 = 5*r + 2*w, -w = -r + 19. Let m be (-4 + 10)*96\/36. What is the highest common factor of r and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlah. Give prob of picking 1 a and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, x: 3, u: 1, h: 1, w: 3, m: 2}. What is prob of sequence um?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -69840 to the nearest 1000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbb when three letters picked without replacement from xbrhbhshhbhh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1540*j + 465118. Give b(-302).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t**2 + 21*t + 102. Let i(x) = 2*x**2 + x - 1. Let v(r) = 6*i(r) + k(r). Calculate the remainder when 98 is divided by v(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 + 129 = -22*a - 26*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.08, 0.1, -5, -1\/8, 2\/29, -40?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -931.9 and 381.\nAnswer: -550.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 13*f**2 + 228*f - 49. Give o(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 196 = -188 - 321. Calculate the highest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)\/l*l)\/(l\/(l\/(l**5*l))))\/((l\/(l\/l**(1\/4)))\/l)**(-14\/9) assuming l is positive.\nAnswer: l**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/52392 and -101\/339438.\nAnswer: 80107368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 7:10 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-2\/27))\/x**(-1\/3))\/(x**(-14)\/x)**(-8\/3) assuming x is positive.\nAnswer: x**(-1015\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 3518680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 96*t - 2127. Let r be f(55). Solve -43*c - 1 = r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - 3*o - 3. Let s be c(-1). Differentiate -90*f**4 - 2*f**s + 53 + 40*f**4 + 42*f**4 with respect to f.\nAnswer: -32*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4607 - 2?\nAnswer: -4609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 312*z**2 + 50*z + 403. Is j(-23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 z when four letters picked without replacement from {z: 3, e: 6, g: 4}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -1\/23 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(2 - (2 - 1)). Suppose v - 5 = -3*s, -s + v + 7 = -o*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c + 2*r + 176, 20 = 5*r. Let b = c - -140. Is 24 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 - 17*y + 11. Let f(c) be the first derivative of -c**3\/3 + 3*c**2\/2 - 2*c - 180. Determine -34*f(l) - 6*g(l).\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b + 19. Calculate the remainder when j(0) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/20*5 - 0. Are 2 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4792788 divided by -4.\nAnswer: -1198197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*(-6)\/(-1). Let j be (-80)\/(-3) - 1\/s. Suppose 24*q + 6 = j*q. Solve 0 = -4*m + q*p - 4, 0 = p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1 - 19 = -4*h, 4*h + 4*k - 16 = 0. Suppose 5*t + h*s = 2*t - 12, -5*t - 20 = 3*s. What are the prime factors of t\/(-6) - ((-427)\/3 + 5)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + 4*d**3 - 3*d**3)*(4 + 6*d**2 - 4) + 45*d**4 - 45*d**4 - 22*d**5.\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392 and 840693.\nAnswer: 6725544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-332)\/14 + (-6)\/21. Calculate the remainder when 43 is divided by ((-16)\/f)\/(2\/45).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2647 + 8769. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 22801*w + 22803. Give x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 v when three letters picked without replacement from {v: 3, j: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 6*f + 92. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4701347*r**2. Let p(w) = 3*w. What is o(p(m))?\nAnswer: 42312123*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -183a8 (base 13) to base 3.\nAnswer: -2101011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 5*m - 2. Let z be j(3). Solve -z = n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 38*o**3 + 24*o**2 - 36*o**2 + 14*o**2 + (0 - 2*o**3 + 0)*(-2*o**2 + 5*o**2 - o**2) + 2*o**5 - 4*o**5 + o**5.\nAnswer: -6*o**5 + 38*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 250.52 (b) -2 (c) -5\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -342240 + 1?\nAnswer: -342234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 49362228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469276 to the power of 1\/2, to the nearest integer?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2301701 and 608681.\nAnswer: 4031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1622237363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2 + 56*t + 55 = 0.\nAnswer: -55, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 48, 0.2 in increasing order.\nAnswer: 0.2, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 + 42. Let z = -46 - n. Is 32 a factor of (-3)\/z*(-548)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11747 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88774193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 18. Calculate the highest common divisor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17815*l**5 + 24*l - 922?\nAnswer: -356300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-2)\/(-4))*(-4112)\/(-32). Let b = t + -111. Suppose -d + 5*r + 125 = 7, -d - 2*r + b = 0. List the prime factors of d.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b**1\/b))**(-2\/177)\/(b**7*b**2))**(1\/45) assuming b is positive.\nAnswer: b**(-533\/2655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(88)\/(sqrt(64)\/sqrt(8))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4243513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 5*m**2 - m - 1. Suppose 2*z - 16 = 4*b, 2*z = 3*z + 2. Let s be a(b). Differentiate 73*u**4 - 4 + 17 - 66*u**s wrt u.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531198 is divided by 256.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -7\/3*y**3 - 1\/2*y**2 + 6*y + 1. Let z(d) = -15*d**2 - 2*d + 13. Calculate 13*q(r) - 6*z(r).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tta when three letters picked without replacement from {b: 1, a: 1, t: 2, j: 2, q: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixths of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -97276416, -97276425, -97276434, -97276443, -97276452, -97276461?\n\"Answer: -9*h - 97276407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -5*u - 1, 5*w = -3*u + 2 - 23 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5420921, -10841824, -16262727?\n\"Answer: -5420903*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19272 + 19276. Let u(r) be the first derivative of 7*r**2\/2 - 11*r - 2. Let f(j) = 3*j - 5. Calculate p*u(v) - 9*f(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 4387539.5.\nAnswer: 4387546.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8024338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7305 + -52?\nAnswer: -7357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-11)\/(-33)*-6294)\/(4\/(-14))?\nAnswer: 7, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-4\/13))\/((d\/((d**(-2\/3)*d)\/d))\/d))**(-3\/4) assuming d is positive.\nAnswer: d**(-1\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 168 = -3*q. Suppose -j = 3*j - 140. Let f be (-2)\/(-5)*j\/q. Do f and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 976 + -4883\/5. Which is smaller: z or 41?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 0.3, -5, 4606\/9 in ascending order.\nAnswer: -5, 0.3, 32, 4606\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 2*z - 1. Let v be y(-3). Suppose -3*w = -3 + 9, -v*n - 5*w = 0. What is the second derivative of 0*m**5 + 2*m + m**n - 4*m wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58177 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) -1\/9 (c) -2 (d) -453 (e) 1\/4 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 5*q**2 - 6*q - 1. Let i be j(6). Is (i\/(-2))\/((-4)\/(-280)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(110)\/sqrt(5) - sqrt(88)\/(sqrt(4)*1))\/(sqrt(250)\/sqrt(5) - sqrt(32)\/sqrt(4)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 + -40 + 40 + -54 + 32?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 41180\/8*-2. Suppose -2*w + i = 2*a, -1388 = -a - 3*w + 3758. Let k = a - 2904. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2410077 is divided by 433.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -5.24?\nAnswer: -1.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - d**2 - 2*d + 20*d**2 + 38 - 38 + (-d + 2 - 2)*(0*d + 2*d + 0*d) + 3*d - 3*d + d**2.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 84*i**2 - 9*i + 766. Let z be q(84). Solve 0 = -z*v + 212 - 272 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/4*4\/(-6). Suppose -33 = -t*w + 6*w. Let x be (2 - 3)*(w + 0). What is the highest common factor of 77 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(65) + (sqrt(65)*2 + sqrt(65))*2 + sqrt(65) - sqrt(65))*4)\/(sqrt(10)\/sqrt(2)*5 - -1*sqrt(320)) + -2.\nAnswer: 28*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -398*d + 397*d + 4, -22*d = -18*d - 0 - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/1 + 0\/(5 + -6). Let l be 0 + (-2)\/k - (-68)\/6. Is 107*8\/l*(-6)\/(-4) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -5\/6 (b) -1 (c) 5 (d) 2\/9 (e) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -653632 by 224.\nAnswer: -2918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1728 + -1 + 4 + -6 + -2. Is 1724 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - ((7 - -4) + -3 - 27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*c - 3*q + 15, 16 + 3 = 5*c - 2*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:34 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.375925g in micrograms?\nAnswer: 9375925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86463*z**3 - 77603*z**3 - 8 + 8.\nAnswer: 8860*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 20, 46, 82?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -521 plus 427?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 - -125. Suppose p*o + 3*o - 3 = v, 4 = 2*o. Calculate the greatest common divisor of 14 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:07 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/5*(-125)\/50*431?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79225 to the nearest 1000.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -120.3 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 9:01 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 28 = -6*h. Calculate the remainder when (-1)\/4 + (-277)\/h is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 16707?\nAnswer: 16711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((340\/21)\/(-5))\/((-13)\/273*18) - 4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 + 6*k**2 + 24*k + 39. Determine p(-4).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/5 + 8 - 1230\/(-155)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15614 - -15614.21. Let t = -15\/8 - -99\/40. What is the nearest to b in t, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**4 - 11*q**3 + q**2 + 11*q - 2. Let l(a) = -a**4 - 23*a**3 + a**2 + 23*a - 5. Let c(t) = 2*l(t) - 5*p(t). Factor c(o).\nAnswer: 3*o*(o - 1)*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17557 is divided by 66?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 9:24 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*n, -5*y = -n - 2*y. Let o be (n - 2)*((-22)\/4 - -3). Which is the third biggest value? (a) o (b) 3 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2736)*4 + -4 + (sqrt(2736) + (sqrt(2736) - 1*sqrt(2736)) + 5 - (2*sqrt(2736) + 3)))*6)**2.\nAnswer: 8640*sqrt(19) + 2462544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {q: 9, p: 2, e: 1, w: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + 4*w**3 + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*b*m**2 + b*m + 17793*b + 57*m**3 wrt m.\nAnswer: -52*b*m + b + 171*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 6*z**2 - 5*z - 2. Let f = -15 + 10. Let j be w(f). What are the prime factors of 87\/9 + j\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 54, 93, 144, 207?\n\"Answer: 6*m**2 + 9*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/10 of a kilogram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and 16?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/i**(-2)*i\/i**(-13\/2) assuming i is positive.\nAnswer: i**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 4*g, 3*m + 3*g - 4 + 34 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*v = 73*v - 15. Let m(q) = q**2 - 57194 - q + 57194 + q**v. Give m(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 4 - 2*u - 6. Let z be j(2). Suppose d + z = 4. Let i(h) = -h**2 + h + 5. Calculate i(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3582*k - 15140 + 52396 + 35674 = -48858 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 7.015. Let s = -0.1792 - -0.2. Let f = l + s. What is f rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26502 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213299 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-6)*(-2 - -7). Suppose 5*t = -f + 40, f + 47 - u = 3*t. What is the remainder when 35 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 594*d**2 - 162*d + 95700. Calculate m(594).\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 10*t**2 - 9*t - 3. Let d be b(-9). Let n(m) = -m**2 - 8*m + 11. Let l(f) = 2*f**2 + 24*f - 32. Let s(c) = d*l(c) - 8*n(c). Factor s(z).\nAnswer: 2*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4396 divided by -1099\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 - 81\/(-12). Let f = n - 4. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21575.\nAnswer: 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 599186.5cm in nanometers?\nAnswer: 5991865000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**3 + 195*w**2 + 1840*w = 0.\nAnswer: -23, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 22316?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 - 5*h + 5*h + (-2*h**2 - 2 + 2)*(3*h**2 - 3*h**2 + 2*h**2) + (-h**2 - 2*h**2 + 5*h**2)*(-4*h**2 - 2*h**2 + 4*h**2) - 2*h**4 - 3*h**4 + 3*h**4.\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-1 + 0 - -2). Let u = -472\/35 - -66\/5. What is the biggest value in -3\/5, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 54*i**3 + 17*i**2 + i - 75. Let g(m) = -19*m**3 - 6*m**2 - m + 25. Let c(y) = 17*g(y) + 6*v(y). Calculate c(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-3))\/(((-975)\/(-10))\/(-13)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (6*(sqrt(7) + 1))**2) + -5 - sqrt(28)\/(sqrt(576)*-2).\nAnswer: -293 - 1703*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1140 and 190836.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5711 (b) 0.3 (c) -1\/4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + 5*z**3 - 6*z**3 + (-3 + 3*z**2 + 0*z**2 + 2)*(0*z - 3*z + 2*z).\nAnswer: -4*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 18 - 18 = 0. Factor 4\/7*h + a*h**3 - 2\/7*h**4 + 6\/7*h**2 + 0.\nAnswer: -2*h*(h - 2)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8826744 divided by 2942248.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**7\/1470 - r**5\/70 + r**4\/21 - r**3\/2 - 25*r. Let j(p) be the second derivative of n(p). Solve j(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 703 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**6*i**(-1\/4))\/(i\/(i\/(i*i**(1\/4)\/i*i)))**39 assuming i is positive.\nAnswer: i**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2.87?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3008*f - 97122 = -1121*f + 14288 - 20834 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 11*u**4\/12 - 7*u**3\/6 + u**2\/2 - 44*u. Let w be y(-5). Suppose 4*t - w = 517. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-26 - -25) - (2 + -4 - 5)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*m + 2*m - 5*b, -2*b - 4 = 0. Suppose 2400 = m*w - 10*w. What is w rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525859899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (-1)\/3)\/(-2). Let y = 2\/61 - -104\/549. Let v = -129 - -905\/7. Which is the closest to u? (a) v (b) -1\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-4\/5))\/(y\/(y\/(y**6*y))))\/(y\/y**(2\/3))**(-1\/21))**(1\/39) assuming y is positive.\nAnswer: y**(-1633\/12285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -149*f + 49. Calculate the least common multiple of 954 and x(-1).\nAnswer: 10494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t. Let p(v) = -514914*v**2 + v. What is g(p(w))?\nAnswer: -514914*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-21) - (-42)\/(-9))*-2. Let i(j) = 2 + s - 5*j + 2*j + 0*j. Let w be i(2). Solve 0 = 3*g - 5*q + 3*q, 0 = -w*q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2322, 3, 0, -107.\nAnswer: -2322, -107, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/1 + (1 - -5). Suppose -24*i = -22*i - 34. Let x be 14 - i - 2\/(-1). Put l, 1, x in descending order.\nAnswer: l, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 10) in base 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8396130 is divided by 493883.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12*-2)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + 5*i**2 - 50*i + 168. What is h(4)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*b + 4 + 47, -2*j + 38 = -4*b. Sort 0, 1, 41, j, -5.\nAnswer: -5, 0, 1, j, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31612804 divided by -4.\nAnswer: -7903201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, y: 1, j: 1}. Give prob of picking 1 j and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1025719, -1025994, -1026269, -1026544?\n\"Answer: -275*h - 1025444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.38 times 19.8\nAnswer: -7.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (3 + sqrt(28)\/sqrt(4) - sqrt(7)) + 5)**2.\nAnswer: 16*sqrt(7) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 406203 divided by 203?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -263278.6 rounded to the nearest 100?\nAnswer: -263300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*u + u**2 + 9*u + (-90 - u + 90)*(11 - 11 + 20*u).\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) -22.315 (c) -2\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**3 + 5*g. Let n(h) = -2*h**3 - h**2 - 4*h. Calculate 5*n(j) + 4*v(j).\nAnswer: 2*j**3 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8 + 57 = 0. Let k = z + -10. What is the remainder when 4 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*a - 3*a. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13266 is divided by 255.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q = 809 - 81. Solve 0 = -2*j - 18 + q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -5 in decreasing order.\nAnswer: 7, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n**5 + 2232*n**4 - 14836*n**3 + 25728*n**2 - 6192*n = 0 for n.\nAnswer: -86, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*y - 6 = y, -2*i + 24 = -5*y. Let a(b) be the first derivative of 2 + 2\/15*b**3 + 8\/5*b - 4\/5*b**i. Factor a(x).\nAnswer: 2*(x - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -2\/9, 4\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)*(100 - -4). Suppose -3*r + r = -l. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 5. Let q be f(3). Let g = 22 - q. Let k = g - 10. Solve -k*m = -0*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.046 + -0.046. Let j = 1.98 + 0.02. Let y = r - j. Which is the closest to 1? (a) 0.3 (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 729 * -1.802\nAnswer: -1313.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7*7\/(-588))*(-15)\/(-45)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-eight fifths of a litre?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**3 + 7554*s**2 - s + 3210 wrt s.\nAnswer: 12*s + 15108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/104*-20*-4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 464 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511510?\nAnswer: 2, 5, 51151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b**3 + 2*b + 1. Let p be q(2). Let r = p - -22. Is 33 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15432078359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630922965 and 1845.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 48744?\nAnswer: 97488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1122.5 - 1118.5. Put w, 5\/44, -0.3 in descending order.\nAnswer: w, 5\/44, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2904338776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1806? (a) 4 (b) 2 (c) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/55857788 and -19\/28.\nAnswer: 55857788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 3*u - 33, 6*x - 77 = 27*u + 4*x + 62 + 28 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3 - (-2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74460286 by -6.\nAnswer: -37230143\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 12*o - 20. Let d be i(-14). Solve 0*g = -4*g + d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -10 + (-1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.25 and -0.04?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2822, 5646, 8472, 11300?\nAnswer: 14130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10\/3, 14, 1\/7, -3.8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 0, 15, -11 in ascending order.\nAnswer: -11, -5, -3, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/6 and 67\/3954.\nAnswer: 3954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgdddgdddddddddddd. What is prob of sequence gdd?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.224, -3\/4, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -61, 5, 86437\/8?\nAnswer: 86437\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.639 and -8.6682.\nAnswer: -2.0292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*y + 55, 2*n + 3*y = -2*n - 37. Is n equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**6*m*m)\/m*m)\/(m\/((m*(m\/((m*m**(-1\/4))\/m))\/m*m*m)\/m)))**18 assuming m is positive.\nAnswer: m**(369\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + 800. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4 - 9 + 10 - f**2 - 4*f. Let b be p(-4). Let t be (44 + 2\/2)*1. Calculate the greatest common divisor of b and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 3*p**2 - 3*p - 3. List the prime factors of o(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*l - 71 - 29, 4*x - 133 = -3*l. What is the greatest common factor of x and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*2*(1 + sqrt(7)))**2.\nAnswer: 24*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -855?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -1 + sqrt(2) + 3 - (sqrt(200) + 0)) + sqrt(18)\/(sqrt(27)\/(sqrt(3)*2)))**2.\nAnswer: -24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -5, -4, 1, -17, 156, 4 in decreasing order.\nAnswer: 156, 4, 1, -4, -5, -17, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20280\/(-45)*(0 - (-9)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o + 14*o**2 - 28*o + 51*o**2 + 18*o + 0*o.\nAnswer: 65*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -85*p**3\/6 + 8*p. Let u(f) = f**2. Determine u(w(i)).\nAnswer: 7225*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/2 + 2092*p**3 - 2530573*p**2 - 9871740060*p + 22267120628025\/2.\nAnswer: (p - 1365)**2*(p + 3457)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2187602?\nAnswer: 2187597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13102202 + -2?\nAnswer: -13102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v - 8*v + 170209. What are the prime factors of v?\nAnswer: 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*b + p, 3*p - 9*p = -111*b + 102*b - 2*p - 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -53*q**3 + 742*q**2 - 4*q + 60. Give t(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 33 - 19 = -2*m, 0 = 2*f - 5*m - 14. Suppose -f = -5*k + 48. Let d be 1\/2 - 94\/(-4). What is the greatest common factor of k and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 7*l**2 - 2*l + 19. Suppose 0 = 5*i - 5*d - 40, -9 - 5 = -2*i + 4*d. List the prime factors of r(i).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 75089*r + 2553028. Give z(-34).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2401 - -4496. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 414 - 410. Let l be (i\/12)\/(3\/(-3))*-9. What is the second smallest value in l, 27, -4\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18005 is divided by 1081?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0108457 - -787876706?\nAnswer: 787876705.9891543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*n**3 - 4773951*n**2 - 1909578*n.\nAnswer: -3*n*(n + 318263)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(99\/18 - 5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*a - 10 = 0, -f + 0*f = 5*a + 25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 5 (b) 0 (c) -6.81 (d) 40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166 - 157. Solve 3 = 6*s + h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**2 - f**2 + 3*f**2)*(-109*f + 3685 - 3685)*(4 + 0 - 12) in the form y*f**3 + m*f**2 + v*f + o and give y.\nAnswer: 1744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express u - u**3 + u**2 - 4*u + 2*u in the form b*u**2 + g*u**3 + i*u + f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 16046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 48 = -0*n. Suppose -u + 1291 = -a, 1677 = 5*a + 2*u + 8167. Let p be ((-1)\/(-3))\/((-27)\/a). Calculate the highest common factor of n and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffwftttttbbtbbtfff. Give prob of sequence wb.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 w when three letters picked without replacement from {w: 1, n: 3, l: 2, u: 5, o: 7, j: 2}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 7. Suppose 2*n = 5*w - 4*w - 16, 2*n + 5*w - 8 = 0. What is the remainder when 7 is divided by f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/2, 0.2, 0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12421 - 12420 + 24843 + 1504*n to the form h*n + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d306 (base 15) in base 13?\nAnswer: -146886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -269 in ascending order.\nAnswer: -269, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, c: 2, w: 1, x: 3, l: 1}. Give prob of sequence wx.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 4)*(-20)\/50 - -1. Suppose g - 16 - 13 = -4*y, -y + 4*g = -a. Let n(p) = p**3 - 8*p**2 + 6*p - 8. Determine n(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/18)\/(1\/1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -92, -162, -252, -368?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) - 112\/(-20). Suppose 4*d + 3 - 11 = j, -j = 3*d - g. Factor -4*q + 8 - 5*q + q + d*q**2.\nAnswer: 2*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -233*f**3*j**2 + 26*f**3 + f**2*j + 110*f**2 + f*j**2 - 20*j**2 wrt f.\nAnswer: -1398*j**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -1.25.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = -3*i - 2, 6 = 4*i - 3*y. Suppose 5*j + 5*q - 65 = i, -3*j - q - 4*q + 33 = 0. Calculate the remainder when 1\/4 - (-230)\/8 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 - 1.23. Let x = 0.030024 + d. Round x to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.06891298 - 3.069. What is m rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 46015622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by (9 + 22\/(-110))*35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119991 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 31, 0, -0.3 in ascending order.\nAnswer: -0.3, 0, 3\/8, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-72))\/(2\/12)*(-18)\/24*-34.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31851102 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033578 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*j + 7. Suppose 3*h - 12 = 0, -3*g + j*h = -0*h - 165. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c123 - 5?\nAnswer: 9c11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23425 + -4?\nAnswer: -23432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 7. Let j = 37 + -261\/7. Which is the nearest to -1\/4? (a) -3\/4 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 4*d + 2. Let h(u) = 2*u**2 - 5*u - 2. Let q be -3*(4\/(-12) + -1). Suppose -2*y - q = 6. Let f(g) = y*k(g) - 4*h(g). Factor f(b).\nAnswer: 2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5154789 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = -9. Suppose -4*n - 2*k = -28, 0 = 5*n - k - 18 - 3. Let t = n - a. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -75\/2 in 6, -0.04, -185, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-3\/7)*(r*r**(-2\/3)*r*r*r*r)\/((r\/r**0)\/r)*r**(-3)\/((r**5\/r)\/r)*(r*r**(2\/3)\/r*r)**(4\/31) assuming r is positive.\nAnswer: r**(-222\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4347769 is divided by 11594.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*a + 1773 - 693 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*m + 77. Solve m = 28*z - 11*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 + 19?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrrrrrrrrrnrrrrnn?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 6*o = 210. What is the greatest common factor of 175 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/9)*r*(r\/(r*r**(-1\/2))*r)\/r*(r\/(r\/r**6))\/r*r*r**(-2)*(r**(7\/3)*(r\/r**(2\/5)*r)\/r)**(-1\/18) assuming r is positive.\nAnswer: r**(1381\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10091*t**2 - 62546*t**2 + 6 - 9 + 3.\nAnswer: -52455*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-330)\/(-70) - 4) - 4\/14. Solve f*u + 3*c = -13, 4*u = -2*c - 2*c - 24 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445477 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (5 + 7 + -7 + 6)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 0.17, -4, 0.4 in decreasing order.\nAnswer: 0.4, 0.17, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/6)\/((-2)\/(-9))*-2. What is the second derivative of 10 - 23 - 2*s + 37*s**3 + t + 4 wrt s?\nAnswer: 222*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -15*i + 2*q - 1670, -4*i + 6725 = -q. Does 48 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 158 + -13556?\nAnswer: -13398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 408, 2\/9, 1, 0.01 in descending order.\nAnswer: 408, 1, 2\/9, 0.1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 29, -1.\nAnswer: -5, -1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((1914\/(-55))\/(-3))\/((-21)\/(105\/2))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 14319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x - 6. Let g be z(-4). Suppose -u + 25 = -g. Calculate the remainder when u is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940241\/4 less than or equal to 485061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -828, -1776, -2724?\n\"Answer: -948*g + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3386829, -6773656, -10160481, -13547304, -16934125, -20320944?\n\"Answer: t**2 - 3386830*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o - 3. Suppose -3*i - 4*p - 4 - 2 = 0, 3*i + 3*p = -3. Suppose -2*z - i - 2 = 0. Determine m(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 5*q**2 + 5. Let r be a(-5). Suppose 0 = k - r*k - 516. Round k to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18910 is divided by 7550?\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**2 - 2*o + 2. Let b(m) = 9*m**2 - 3*m + 5. Let d(c) = -6*b(c) + 11*p(c). Let w be d(6). List the prime factors of w*(1 + (-1)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uduj when four letters picked without replacement from vuldjjulvggvgjlgj?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 j when three letters picked without replacement from {n: 10, o: 4, j: 6}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + -71 + (-2046)\/(-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a second in milliseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**4 + 4*c**5 + 104 + 4*c**2 - 4*c**3 - 104 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (142\/(-53605))\/(-1)*5.\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, k: 2, p: 7, t: 1, v: 4, h: 1}. What is prob of picking 1 k and 1 h?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1190 = -9861*f - 166447 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**3\/7 - 961662*k**2\/7 - 721242*k\/7.\nAnswer: -2*k*(k + 120207)*(4*k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 13, 3, 5, 18310?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0)*284\/(-355)*(-5)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 1, s: 2}. What is prob of sequence aas?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -74*k + 171. Solve -k = -3*x + 2*d, -5*x + 7 = -2*d - d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b**2 + b + 1. Is w(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 9. Let w be v(-6). Suppose -2*h + 5*y = w*y - 218, -2*h - 2*y + 234 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3) + 3*-1*sqrt(3)))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - k + 95, y + 0*y - 40 = -2*k. Let x(w) = 49332*w**2 + y + 52*w + 59*w - 129*w. Let u be x(-15). Round u to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + s + 12601 = 0, 8513 + 1566 = 4*k + s. Calculate the highest common factor of k and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 9*c - 553. What is b(56)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56\/153 + 5\/153. Let d be ((-18)\/4)\/(-3)*-2. Sort 1\/5, x, d in descending order.\nAnswer: 1\/5, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 483 - 487. Let t be (-1)\/(-1)*(-9 + 8). What is the nearest to t in -2\/7, s, 8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 4, 2, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*w - 4*v - 120, 0 = 4*w + 4*v - 92. Suppose 8*o - 858 = -13*o - 18*o. Calculate the remainder when w is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(8*26\/64)\/(-7)\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 252.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -41*y**4 + 3*y**3 + 22. Let h(r) = -247*r**4 + 19*r**3 + 133. Let f(z) = 3*h(z) - 19*l(z). Differentiate f(n) wrt n.\nAnswer: 152*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(60)\/(sqrt(30)\/sqrt(5)))\/sqrt(2) + 3 - (4 + sqrt(135)\/(sqrt(15)\/sqrt(5))))**2.\nAnswer: 6*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -21)*1\/3. Let v(p) = -p**3 + 6*p**2 + 4. Let h be v(g). Let d be (11 - -2)\/1 + -1. Solve -4*r = -h + d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -22*r**2 - 2. Let p(n) be the third derivative of n**4\/12 + 22702*n**2. Calculate p(v(j)).\nAnswer: -88*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*r + 76*r = -71*r + 384 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 - -0.37. Let x = -0.4 + -0.1. Sort x, -4, i in descending order.\nAnswer: i, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 320 + -4158\/13. Let y = 0.2 + -0.2. Let j = y - 0. What is the third biggest value in 3\/5, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0 + 0*o + 3*o**2 + 1\/60*o**5 + 4\/3*o**3 - 7\/24*o**4. Is 2 a factor of h(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**2 + 2*c**2 + 5*c**2 + (-2*c - 2 + 2)*(-4*c + 3*c - 5*c) - 2*c**2 + 4*c**2 - c**2 + (-c - 2*c + 5*c)*(0 + 0 - 2*c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(300) - (2 + sqrt(300))) + -3 + 0 + (5 + (sqrt(300) - (sqrt(300) + sqrt(300) + 1) - sqrt(300)) + 1)*-3)**2 + 2.\nAnswer: -720*sqrt(3) + 10838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n - 4*n + 0*n)*((0 - 3 + 0)*(0 + 3 - 11) + 0 + 2 + 0).\nAnswer: -286*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.067? (a) 0.2 (b) 2\/11 (c) -0.285 (d) -1\/144 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 13. Let z(x) = -6*x + 90. Let a(s) = 27*l(s) + 4*z(s). Let u be a(-8). Let k be (-4 + -77)\/(u\/(-25000)). What is k rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35263 divided by 36.\nAnswer: -35263\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -127c + 77?\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - 1) + (-6 + 64 - 55) + 4 + -10?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -174 - -295. Let x = f - -299. What is x rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -326 (b) 7 (c) -0.09 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-6) + (-7)\/21. Sort 2, p, -0.4.\nAnswer: p, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -41433600?\nAnswer: 290035200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 433344\/427 + (-1)\/(-7). Let t = -7107\/7 + z. Suppose -4*q + 6 = 2*g - 2*q, 5*q = 3*g - 33. What is the nearest to g in -1\/2, -3\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.43 - 1.33. What is the closest to 0.4 in -5\/3, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 4115498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/4 - 411*u + 168921 = 0. What is u?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*a + 345. Is a a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 772578 and 1004?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 15*p**2 - 55 + 20*p**2.\nAnswer: 35*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5891946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/2 and 7\/836.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34998519 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-105)*7)\/((56\/(-35))\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-145)\/(-10)*-1)\/(1\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4045\/13 + 311. What is the fourth biggest value in t, 0.4, 2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18105*7\/189 - 4\/(-9)?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 6 - 14. Let l(s) be the third derivative of -1\/30*s**5 + 0 + 1\/3*s**3 + s**2 + 0*s**k + 0*s. Differentiate l(u) wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/13 (b) -2 (c) -1\/4 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -666*t - 376. Let p be k(-2). Calculate the highest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10463*f**5 + 17085*f**3*l**2 - 162052498*f*l**2 wrt f?\nAnswer: 209260*f**3 + 102510*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2395 = -v - 4*p, 1437 = 3*v - 4*p. Suppose 3129 = -2*c + v. Let s = 2386 + c. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3344, -2084, -846, 370, 1564, 2736, 3886?\n\"Answer: -11*j**2 + 1293*j - 4626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.33 (c) -1\/25 (d) -4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342714475 and 2125.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1669*n - 34. Let t(p) = -835*p + 14. What is -2*d(r) - 5*t(r)?\nAnswer: 837*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 7129340282?\nAnswer: -7129340281.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126550\/161 + -786. Let o = u + -2773\/1449. Let y(i) = 30*i**2 + 2*i + 2. Calculate the common denominator of o and y(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 306 = -51*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3719.743um in kilometers?\nAnswer: 0.000003719743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 365860 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -21. Let a = l + 14.3. Put -2\/3, -5\/4, a in decreasing order.\nAnswer: a, -2\/3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*o - 421 = -50*o + 5*m, -o + 167 = -5*m. What is the remainder when 648 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(95))\/(-5*(sqrt(45) - sqrt(5))).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 6*f**2 + 3*f + 4. Let y(m) be the first derivative of -m**2 + 44*m + 53. Let l be y(19). Give v(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202*r**5 + 162*r wrt r?\nAnswer: -4040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 86 = 5*t, -2*t = t - 2*c - 50. Which is smaller: t or -174?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13686 - 13775. Sort p, 2, 7, -2 in ascending order.\nAnswer: p, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -17 - 116\/(-7) - (-2 - 28338\/21) is divided by 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(294)\/sqrt(2)*6.\nAnswer: 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/9)\/(-2) - (-35)\/21. Let q(t) = 14*t + 2. Let j be q(w). Solve j = -2*c - 5*r, 5*c - r - r = -11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -15*n + 65 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4108205 milliseconds in seconds?\nAnswer: 0.0004108205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 5*s - 5*s + s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0 - 6) + 2 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - 0.21. Let h = -0.3 - m. Let l = 1.07 + -0.07. Sort l, h, 0.2.\nAnswer: h, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5.4, -7, -8.246 in increasing order.\nAnswer: -8.246, -7, -3, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 r when three letters picked without replacement from {b: 2, r: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7305 + 7310. Let v(a) be the second derivative of 0*a**4 + 0*a**2 + 9\/2*a**3 + 9\/10*a**h + 5*a + 0. What is the second derivative of v(b) wrt b?\nAnswer: 108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5096970583?\nAnswer: 17, 299821799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 3.7.\nAnswer: -29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 661, 1035, 1409, 1783?\nAnswer: 2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96582548 to the power of 1\/3, to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2750 = 13064*p - 12954*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 0.69. Let s = -0.31 - g. Let i = 2 + -1. Sort s, i, -0.3 in ascending order.\nAnswer: -0.3, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 34*s + 100441 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*a - 14 = 0, 8 = -2*d - a - 9. Is (-294)\/(-15) + d\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*y - 10. Suppose -36 - y = -5*l - 4*d, 4*d - 16 = l. Let u(p) = l*p**2 - 97*p + 97*p. Let z(c) = c. What is z(u(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 113836207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3804*a + 56 = 4*b + 3805*a, 0 = -5*a + 180 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11*c + 83. Suppose -52 = -0*k + 2*k. What is the hundreds digit of i(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-183)\/(-305))\/(81\/6).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -5, 0, 3, -0.02, -202?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864135839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Is 7155 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -13, -65, -139, -235?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27963897?\nAnswer: 3, 13, 37, 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 166?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -49, 5, 2\/423, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (-117 - 14) - -37.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2069 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -276, -280, -284, -288, -292, -296?\n\"Answer: -4*l - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 12:23 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 142?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 2. Let f(a) be the second derivative of -a**4\/4 - 5*a**3\/3 - a**2 + a. Let v(o) be the first derivative of f(o). Calculate -11*i(l) - 2*v(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (48\/10)\/((-15)\/250). Suppose 5*k - 434 = -2*v + 2*k, k + 868 = 4*v. Let a = v + y. Calculate the remainder when a is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -33, 305 in increasing order.\nAnswer: -33, -2, 0, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 1 - 90 = 0. Let y(j) = 25*j**2 + 2*j - 1. What is the remainder when y(1) is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000278147489 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 - -344. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 54*f**2 + 166*f - 285. Give t(-57).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.9655 - -11. Let s = u + -0.1345. Suppose 5*w + 84 = 4*h, -h + 2*w + w + 28 = 0. Which is smaller: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/76981428 and -149\/65544.\nAnswer: 153962856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 134 and 3.8.\nAnswer: 509.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 18427*q - 8*q**2 - 4*q**3 - 18427*q. Let u = 3 - 0. Let j(c) = c**3 + 3*c**2. Give u*x(f) + 8*j(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -57*z - 232. Give i(-9).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -124? (a) -12 (b) 4\/13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.5873944 to three dps.\nAnswer: 10.587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694371.\nAnswer: 3, 59, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(108) + sqrt(108) + 5*sqrt(108) + sqrt(108) + sqrt(108) + 2) - (2 + sqrt(108) + -1 + sqrt(108) + -4*(sqrt(108)*-2 - sqrt(108))))**2.\nAnswer: 3444*sqrt(3) + 181597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2696, -2734, 3 in increasing order.\nAnswer: -2734, -2696, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 4. Let h be i(3). Suppose -2*l = -5 - h. Let s = -6 + 16. Calculate the remainder when s is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, f: 7}. What is prob of picking 2 f?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 10 (c) -1022\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u - v, -26 = -3*u - 2*v + 6*v. Let a(o) = -o**2 + 6*o + 3. Let y be a(u). Suppose y*l - 15 = -c + 63, -l + 141 = 2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72994429?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3*t = 8, -2*g + 5*t + 12 = -0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -145 + 60. Let k = 37 - n. Suppose s - 4*t - k = -0*s, t = -4*s + 12. Which is the second smallest value? (a) -0.3 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5564)\/(-468) - (-7)\/(126\/20) - 3632\/280.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/5 (b) -8 (c) 3\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 - -86. Suppose 52 + 44 = 8*w - 24. Calculate the remainder when r is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -422*h**2*q**2 - 7*h**2*q + 829*h**2 + 3040046*h*q**2 + q wrt h?\nAnswer: -844*q**2 - 14*q + 1658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c**(-6)*c*c)\/(c*c**(-3)*c*c**(-5\/2)\/c*c) assuming c is positive.\nAnswer: c**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60711*o**2\/5 + 18144*o\/5 + 27.\nAnswer: -3*(49*o - 15)*(413*o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1172\/1341 - 64\/149. Which is the nearest to 1\/4? (a) v (b) -0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 247510.977 - 247072. Let k = 0.977 - y. Let s = -438.000000541 - k. Round s to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/71 + -120\/781. Let q = 42.085 - 0.485. Let n = -42 + q. Which is the smallest value? (a) i (b) 2\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320107 is divided by 684?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 262825 by 52565.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2186, -2169, -2128, -2051, -1926, -1741, -1484?\n\"Answer: 2*k**3 + 3*k - 2191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 718815.6 hours in nanoseconds?\nAnswer: 2587736160000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 144 = -2*j. What is the greatest common factor of 128 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 2*r**2 - r + 2. Let j(n) = -n + 11. Let t be j(8). Let g be h(t). Let y(i) = i**3 + 3*i**2 - 2*i + 3. Let w be y(-3). Is w > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-3)*(-1140)\/(-665). Let a = 1 - -3. Solve -3 = f*v + a*p + 13, -4*p = -5*v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -127*l**6\/40 + l**5\/20 - 35*l**4\/24 - 4*l**2 - 2. What is the third derivative of p(c) wrt c?\nAnswer: -2286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, l: 7}. Give prob of sequence llll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.81, -8, 12 in ascending order.\nAnswer: -8, 10.81, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29403491, 29403486, 29403481?\n\"Answer: -5*s + 29403496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 11:26 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence piw when three letters picked without replacement from {w: 5, c: 3, p: 5, o: 4, i: 1}?\nAnswer: 25\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3180 - -6000. Calculate the least common multiple of 470 and h.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-7\/3))\/(q*q*q**(2\/3)*q))\/(q\/(q*q**(-1\/3))*q*q\/q**(-1\/7)) assuming q is positive.\nAnswer: q**(-59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(14*o - 11*o - 8*o + (1 - 4 + 1)*(-3 - 3*o + 3)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 11:25 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 9:53 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 198 = -32*b + 30. Let u be 3\/(-3) - (-2)\/(-2) - 1. Put b, -1.8, -0.1, u in ascending order.\nAnswer: b, u, -1.8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -11111?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 44) + 3 + -7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46 or -108\/125?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 906105 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266695 divided by -53339.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*n = -842, 9*j - n = 11*j - 866. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4699672 and -0.5?\nAnswer: 4699672.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 113001241?\nAnswer: 113001224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l + 11*l - 63. Let 49*g**3 - 36*g**l - 12*g**3 + 6*g - 4*g**2 - 3*g = 0. Calculate g.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7520296*c**3 + 2*c**2 + 3*c - 1235?\nAnswer: -45121776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191634185?\nAnswer: 5, 38326837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 7*j**4 + 3*j**4 - 16852*j + 16843*j + (j**2 - 4*j**2 + 2*j**2)*(0*j - 6*j**2 + 0*j) to the form g*j**3 + m*j**4 + x*j**2 + f*j + o and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-12))\/((-3)\/2)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k = -4*i - 80 + 10, -20*k - 10 = -18*k - 5*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7923.027 - 7903. Let d = f + -20. Round d to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -155740 in 0, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 3*c - 17, 4*c - 83 = 2*x - 73 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/5092 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2299) + -1 + -2*sqrt(2299))*6*2)**2*-3*3.\nAnswer: -11923200 - 114048*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 12. Let c be (-30)\/140 - 681\/(-42). Solve c = s*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 11*n + 7. Determine z(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 37*x - 74. Let v(s) = 49 - 108 + 58. Let w(z) = l(z) - 74*v(z). Let p(f) = -4*f**2. Give p(w(k)).\nAnswer: -5476*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 330993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 7:13 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1158*i*l - 151*i + 63*l + 772 wrt l?\nAnswer: -1158*i + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -67683, -2, 1.4, 0.24, 3, 0 in ascending order.\nAnswer: -67683, -2, 0, 0.24, 1.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 8. Let p = -1 - 0. What is the nearest to p in 0.3, 1\/2, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a4ac6d + 2?\nAnswer: a4ac70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 13.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 + -140. Let l = f - -76. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000004545 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107954991 to the power of 1\/2, to the nearest integer?\nAnswer: 10390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 108? (a) 3 (b) -117 (c) 0.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14.9 (b) 5 (c) 17 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y + 19. What is v(-13)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 - 893*c**2\/4 - 15219*c + 154872.\nAnswer: (c - 956)*(c - 9)*(c + 72)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 7107891b?\nAnswer: -7107891b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 - 5179*i + 4 + 10354*i - 5179*i.\nAnswer: -4*i + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/28 - 5674662\/(-147) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70759.\nAnswer: 13, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r = 25*r - 8749200. What is r rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -17*r**2 - 5*r - 5. Let o(g) = 5425*g + 2*g**2 - 2 - 9*g**2 - 5427*g. Let t(z) = -5*o(z) + 2*p(z). Let c(y) = 33*y**2 + 1. What is c(t(q))?\nAnswer: 33*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1150 and 3?\nAnswer: 3450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10356 and 312.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + (sqrt(209) + sqrt(209) + (sqrt(209) + sqrt(209)*-3)*2 + sqrt(209) - 4*-2*sqrt(209))\/(sqrt(121)\/((3*sqrt(99))\/sqrt(9))))**2.\nAnswer: 210*sqrt(19) + 8400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 16*j**2 - 20*j - 15. Let t be x(17). Is -3*(-4)\/t - 61393\/(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*354784\/16 - (11 - 4). Round d to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((19*h + 20*h - 10*h)*(4*h - h - 4*h) + 3*h**2 + h - h)*(3 - 2 - 3) to the form k*h + p*h**2 + u and give p.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 1.0867856?\nAnswer: -5.0867856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 47 + 51. Suppose 42 = 4*g + 14. Calculate the greatest common divisor of c and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29382950 divided by -5\nAnswer: -5876590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 6*n - 71 = -4*o, -3*n + 49 = 4*o. Solve 5*z - l + n = 0, 2*l + 8 = -z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 - -177. Calculate the remainder when 265 is divided by r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222 + -2121220?\nAnswer: -2112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*h + 21*h + 13 + 17*h)*(-1 - 2 + 2).\nAnswer: 2*h - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*u + 11, 15 = 5*i + 5*u - 4*u. Suppose 0 = a + i*m - 35, 7*a = 3*a + 4*m + 200. What is the remainder when a is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 4)*(1 - n - 1)*(5 + 1 - 1).\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 122359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1148295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20 - 160)\/((-1)\/(-25)). What is o rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 9. What is the remainder when a is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014409893 to seven decimal places.\nAnswer: 0.0000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135847?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 228529741?\nAnswer: 1142648705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 7*a - 11. Let q be l(6). Let x = 3.1 - 3. What is the smallest value in x, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7569 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -4, -3\/5, -2\/83, 45, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/8586 and 25\/6180966.\nAnswer: 55628694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153755973.\nAnswer: 3, 7, 17, 20509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/84 and -149\/132?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -546 + 550. Does 14 divide (-35)\/(-10)*(291 - (3 - m))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37636 (base 10) to base 6\nAnswer: 450124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/60 + n**3\/3 - 36*n**2. Suppose -3*y + 11*l = 16*l + 9, 2*y - 2*l = 10. Let d(h) = 1. Determine y*z(m) - 14*d(m).\nAnswer: 2*m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + r + 6 + 1 - r. Let t(c) = 99 - 35 + 3*c - 34 - 45. Calculate 7*p(y) + 3*t(y).\nAnswer: 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -29, -0.24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 361125 and 210?\nAnswer: 5055750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 0*j**3 - 5\/12*j**4 + 0 + 0*j**2 - 2*j + 1\/5*j**5. Find the third derivative of s(q) wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*u = k + 19, 10 = 5*k + u. Let h(x) = 7*x**3 + 0*x**3 + 1 + 0*x**2 - x**2 - 2*x**3 - 8*x**3. Give h(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3537936 divided by -933?\nAnswer: 3792","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, t: 3, m: 6, f: 1, z: 1, g: 1}. Give prob of sequence ft.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -208165 or -208180?\nAnswer: -208180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59772 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2696*k**2 + 5065 with respect to k.\nAnswer: 5392*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 11. Let z = 16.8 - 14. Let d = 1.8 - z. Which is the nearest to r? (a) -0.2 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 s when four letters picked without replacement from lmuusssuslssssmsm.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*j - 0 + 5, 2*t = 3*j - 2. Let y = t + 3. Let v = -3 + 5. Does y = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 662 = 4*x, 0 = x - 3*t + 114 + 69. Let j be (4\/(-14))\/(8\/x). Suppose 39*z = 42*z - j. Solve -z*q = 5*y - 25, -y + 5 = -2*q + 4*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/18445846 and -37\/2014.\nAnswer: 977629838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-800)\/660 - 6\/(-11). What is the closest to 1\/6 in t, -1\/11, -5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.7 (b) 339 (c) 0.2 (d) -1 (e) -73\/2 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*9\/3*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 3*b + 3. Let a(j) = 13*j**3 + j + 13. Let o(p) = -37*p**3 - 4*p - 38. Let t(l) = -17*a(l) - 6*o(l). What is 7*q(v) - 3*t(v)?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3510 and 54.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6)*(-15)\/10*0. Which is the biggest value? (a) 0.5 (b) l (c) -21 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.93 rounded to 1 decimal place?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - b, 1 = -i + 2*b - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12795*h - 2034407. What is g(-159)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*c + 419, -15*c + 14*c - 4*t = -117. What is the remainder when c is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -30\/43 (c) 2 (d) 1\/5 (e) 1\/3 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s + 2. Let o = -30 - -32. Let f = o + 36. Let i = f - 41. What is w(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10*(-63)\/(-42)*(-20)\/(-12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -6821*o**7\/7 + 730*o**3\/3 - o**2\/2 - 4*o - 5754. What is the third derivative of u(j) wrt j?\nAnswer: -818520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 61 - 2*u**3 - 5*u**2 - 42 + u + u**3 - 29 + 2*u. Calculate o(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 2. Let v be o(-5). Let i = -8 - -12. Suppose 4*r - v*m = -476015, -5 = -i*m + 3*m. Round r to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556018494305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 14 - -18 - 3 - (-1 - 17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o**2 - 12. What is the remainder when s(3) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100617*a**2 - 129*a + 129*a - 100622*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.45 - 0.45. Let s = i + -28.9978. Round s to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - b = 5*l - 29, l + 2*b = 34. Let g = -20 + l. Solve -5*x = -g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 187588, 750297, 1688138, 3001111, 4689216, 6752453, 9190822?\n\"Answer: 187566*k**2 + 11*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41856 is divided by 10464.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 7736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -4355259?\nAnswer: 3\/1451753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -53*q**2 + 10 + 31*q**2 + q**3 + 7 + 34*q**2 + 13*q. Let w be r(-11). What is the third biggest value in -1, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*j - 10, -3*n = -2*j + 10 - 19. Suppose 5*l + 2*r = 0, 0*l = 3*l - r - 11. Solve l - j = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1025*a - 113 = -2*y + 1030*a + 2, 0 = -2*a - 50 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 10:35 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -23, 49, 17, 15, -1 in descending order.\nAnswer: 49, 17, 15, -1, -2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21785.52nm to millimeters.\nAnswer: 0.02178552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1560864 and 1015584?\nAnswer: 6816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(1\/9)))\/(a*a**(-4)*a)*a\/(a**(2\/5)\/a)*(a\/(a**(-2\/13)*a))\/a assuming a is positive.\nAnswer: a**(1676\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -235 + 288?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9721302907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*n + 331, 3*n - 5*m = 63 + 147. What is the highest common divisor of n and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 17. Let k(m) = m**3 - 8*m**2 - 6*m + 10. Let x be k(d). Let b = -12 + x. Solve 7*p - b = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3089580.\nAnswer: 2, 3, 5, 13, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/735, -5, 0.4.\nAnswer: -5, -4, 2\/735, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, 34, -8, 2\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.33 - 4.41. Let x = -3 - l. Let q = -2.92 - x. What is the third biggest value in -2\/7, 1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 106*r + 16*r + 25*r + 13.\nAnswer: 151*r + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 405 by -9.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 0.2 (c) 2 (d) 0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 10*m**2 - 10*m + 63. Give o(10).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.195? (a) -2\/21 (b) 6 (c) -0.04 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248 divided by -55133.\nAnswer: -248\/55133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0636848 * 0.7\nAnswer: -0.04457936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + -4 + -4 + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1\/2)*a)*a)**(6\/5)*(a\/(a\/(a\/((a*a**(-2\/3)*a)\/a))))**1 assuming a is positive.\nAnswer: a**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237629.\nAnswer: 7, 83, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175229084?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -3. Let f = h + -3. Suppose -4*q + 2*o + 6 = 0, -18*q + 3*o = -21*q + 18. Solve -q = 3*p - 4*v, -15 = -f*p - 5*v + 2*v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 425889.4571 + -425866. Let p = l + -23.4. Round p to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.3 - -8. Let s = x + -4.9. Let p = s + 2.1999982. What is p rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6208, -3, -2\/11, -140.\nAnswer: -6208, -140, -3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**3\/3 + 2*b**2 + 10*b - 11. What are the prime factors of h(-8)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 10*f - 14*f.\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2301905.7ns to minutes.\nAnswer: 0.000038365095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + k. Let w(a) = 2*a**2 - a - 3. Let r(h) = 3*o(h) - w(h). Let j(u) = -1. Let y(z) = 5*j(z) + r(z). Suppose -1 - 51 = 13*x. Give y(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - -6. Let n be (-6)\/l - 4083\/(-27). Let q = -47 + n. Calculate the remainder when q is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**7\/14 - 4*d**6\/5 + 63*d**5\/10 + 19*d**4 - 241*d**3\/2 + 198*d**2 - d - 90. Solve t(h) = 0.\nAnswer: -11, -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 5240 (c) -15 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22768, -22857, -22942, -23023, -23100, -23173?\n\"Answer: 2*g**2 - 95*g - 22675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(3*sqrt(22)\/sqrt(2))*1.\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/7, -0.3, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1597 - -1596.7. Put -14, a, -5 in ascending order.\nAnswer: -14, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58040, 116082, 174126, 232172, 290220, 348270, 406322?\n\"Answer: b**2 + 58039*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 8985, 1\/9, -0.4, 1\/7, 0.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 6*q + 3 = -89 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1188)\/(-495))\/(6\/(-20)). Is 2 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiciciiciiciiiici. What is prob of picking 4 c?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*p - 3*c - 14, 3*p - 2*c = 8. What is the greatest common divisor of 729 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m**3 - 4*m**2 + m. Determine a(2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -15. Let s = r - -13. What is the second derivative of t - 2*t - t**s + 0*t**5 wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 1. Let s be l(-5). Suppose -5*c - 25 = -s*t, -5*t = 2*c - 0*c - 23. Solve t*m = -r - 25, -6*m - 5*r - 45 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (-17 + (11 - -16) - 20 - -2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 322.55 - 333. Let r = d - -9.9. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 - 91. Is 21 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-2073.\nAnswer: 16584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (60\/(-24))\/(780\/(-152) - -5). Solve -2*c = n - 14, 0 = -5*c + 5*n + 1 + l for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-13 - -3) + 1. Suppose 3*c + 13 = 2*o, -3*o = 6*c - r*c - 19. Solve 0 = -3*j - 2 + o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-8 - -3))*1. Suppose -z + s*z - 33 = 0. What is the remainder when 42 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2648 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from mnnn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8693 (base 12) to base 14.\nAnswer: 5571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 11*o**2 + 7*o - 2. Let q be r(11). Suppose 0 = -p - 14*p + q. Suppose p*s = -0*s + 6025. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2139071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3988626038?\nAnswer: 2, 25621, 77839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 12. Let x be k(6). Let t be 2 + (-51)\/(-10) - x\/(-4). Factor 1\/5*p - t*p**3 - 2\/5 + 29\/5*p**2.\nAnswer: -(p - 1)*(4*p + 1)*(7*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 82?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 763 and 762 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -20*w**2 + 322*w - 20. Calculate p(12).\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 28*k**2 - 19*k + 19. What is the units digit of f(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 10, 5*c = 98*o - 97*o + 3884498. Round c to the nearest ten thousand.\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6 + 5*z - 85*z + 79*z. What is h(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, h: 1}. Give prob of picking 2 z and 1 h.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 12:05 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3\/7 - 228*y**2\/7 - 3525*y\/7 - 3300\/7 = 0. Calculate y.\nAnswer: -55, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 + 2*p + 3. Let z = 55 - 50. Let j(w) be the third derivative of -5\/6*w**3 + w**2 - 3\/20*w**z + 0*w + 0 - 1\/6*w**4. Give -5*h(t) - 3*j(t).\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2047387380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 17*i + 5*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10832819, 21665645, 32498471, 43331297?\nAnswer: 54164123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**3\/6 + 3*j**2\/2 - 3*j. Calculate o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 967 - -1607. Suppose 8*f + 3*f = s. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, d: 3, b: 3, i: 6}. Give prob of sequence biii.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -8 (b) -4 (c) -2 (d) 2 (e) -14.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - sqrt(187)*-2 - sqrt(187))\/sqrt(11) - sqrt(17)) + 5)**2.\nAnswer: 10*sqrt(17) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2914 and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 481 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 1\/4, -56\/3 in decreasing order.\nAnswer: 1\/4, -2\/13, -56\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 19*p**4 + 18228*p**3 + 43053*p**2 - 11536*p - 49764 = 0.\nAnswer: -957, -2, -26\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29 (b) 1\/8 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(sqrt(1216) + 2*sqrt(1216) + 5)*6)**2.\nAnswer: 2211840*sqrt(19) + 101090304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196280930?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a = -12*a + 12*a - 144. Solve a*p + 48*r = 47*r - 17, -3*r + 9 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 13*s**2 - 7*s**2 + 3 - 3 - 2*s**2 + (3 - 3 + s)*(-4 - s + 4) - 2 - s**2 + 2)*(s + 0 + 0)*(5*s - s - 3*s).\nAnswer: -25*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1101*y - 770. What is c(-1)?\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*m - 43. Let f be (-40)\/(-18) - m\/(18\/4). What is the closest to -1 in 1, -2\/9, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkm when three letters picked without replacement from {m: 1, x: 1, y: 1, g: 2, k: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 + 7*h + (1 + 1 - 1)*(-3*h - 1 + 1))*(0 + 0 - 2*h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, w: 5, d: 7, b: 1, o: 1}. What is prob of picking 1 w, 1 d, and 1 a?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 + -4.12. Let f = 389 - 385. Put t, f, 2, -5 in ascending order.\nAnswer: -5, t, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49309911 divided by -1826293.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 13. Let l = b - -10. Suppose -22*m + 8*m + 4158 = l. What is the greatest common divisor of 33 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104021693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -515.69 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -158 - -346. Let v = 193 - l. Which is the nearest to 5? (a) v (b) -2 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1172 (b) 0.2 (c) -187.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + 7\/((-77)\/5766). Let y be -2*6*(-1)\/3*-130. Let c = y - a. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5227 - 5131. What is the greatest common factor of 300 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/15))**(8\/5)*(k**(-13))**(-14\/9) assuming k is positive.\nAnswer: k**(4934\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -15534963 <= -15534955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 12*g + 3. Let q(u) = u**3 - 15*u**2 + 16*u - 31. Let x be q(14). Let f(o) = -13*o - 4. What is x*m(l) - 2*f(l)?\nAnswer: -10*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.2, 1\/4, -3.8, -0.035?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1319 divided by -897.\nAnswer: -1319\/897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - 2*x - x - 87 = -12*y, 3*y + 69 = -3*x for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -61, -130, -199, -268?\n\"Answer: -69*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -130? (a) 0.04 (b) -103 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.74 - -0.22. Let w = -14 - -13.8. Let z = b - w. What is z rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.32 - 0.23. Let y = -326 + 326. Sort -1, 1\/5, y, g in descending order.\nAnswer: 1\/5, g, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119416 or -119415?\nAnswer: -119416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/4814 and -37\/996.\nAnswer: 28884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 less than -9350?\nAnswer: -9430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*i = 2*i + 45, -8 = -4*i. Let k = d + -39. Suppose 9*g - 59 = 4*g - 4*x, -48 = -4*g - k*x. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 23 - 11)*(-3 - 5 + n + 1).\nAnswer: -10*n + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u - 5*t = -25, -21 = 5*u - 3*t. Suppose -3*q - 9 = 0, 5*v - 2*q - 4 = q. Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2298 - 5910.124.\nAnswer: -8208.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 266*o**2 + 1797*o - 447. Calculate y(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/4 and 91\/664.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 1235 - 157. Round q to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 c when four letters picked without replacement from {c: 3, n: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = x + 184, 2*w - w - 89 = -x. Suppose -4*t + 35 - w = 0. Is 27 a factor of (-942)\/(-7) + (-6)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18895\/111 + 411\/37. Let f = h + -2197\/12. What is the common denominator of -127\/182 and f?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -10.\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118057?\nAnswer: 118057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110111001110110111000 - -1?\nAnswer: -1000110111001110110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*l + 947505 + 1577556 = 0. What is the ten thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36755, 45281, 59475, 79331, 104843?\nAnswer: 136005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 459791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9853 is divided by 156.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-10) + (-6)\/(-72)*-6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*s + 84*s - 43*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 52, 85, 116, 145, 172, 197, 220?\n\"Answer: -b**2 + 36*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 + 11316 + 0*x**3 - 24099 + 2*x**3 + 12783.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2064554 = 385*n - 1592899 - 1210102. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/531 (b) -59 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 440 = -s. Let y = 57 + s. Solve 7*k - 4*k = -3*l + 18, 0 = -4*k + y*l + 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b2 (base 14) in base 16?\nAnswer: 9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -0.16578178?\nAnswer: 0.99469068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*v + 6*v + 28, 5*u - 96 = v. What is the highest common divisor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1401138 and -53\/311364.\nAnswer: 2802276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -578. Let w = x + 615.3. Round w to the nearest integer.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3*l**2 + 2*f**3*l*r - 30*f**2*r - 3*f*l*r - 4*l**3*r + 3*l**2*r wrt l?\nAnswer: -2*f**3 - 24*l*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 5. Let n be p(2). Let j = n - -13. Suppose 3*f = 4*k - 34, -5*k + f - j + 51 = 0. Let h(w) = -w + 2. What is h(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and 139.95593.\nAnswer: 149.95593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22320, -22319, -22318?\n\"Answer: t - 22321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzzxtgtttttttzftntn. Give prob of sequence fn.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3782729*w**5 - w**3 + 13*w**2 - 494008*w wrt w.\nAnswer: 226963740*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -65) + -19 - (12 - -14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87267.\nAnswer: 3, 19, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16178476?\nAnswer: 2, 23, 175853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2042650 divided by 3.\nAnswer: 2042650\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 1. Let z(n) = 3*n + 3. What is 18*s(a) + 5*z(a)?\nAnswer: -3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*h - 29*h - 6*h)*((-4 + 4 - 2)*(0 + 0 + 2*h) + 0*h + 3*h - 2*h) to the form b + a*h**2 + k*h and give a.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -37. Calculate the greatest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/6 - 10*m**4\/3 - 286*m**3\/3 + 1936*m**2.\nAnswer: m**2*(m - 22)**2*(m + 24)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 5740785?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*u + u - 3*u to b*u + k and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 18*d**2 + 107*d + 1200. Let u be r(-16). Solve u = -149*f + 129*f - 160 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - h + 23292 = -1970, -h - 16848 = -2*m. Does 131 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4898, -4896, -4894, -4892, -4890, -4888?\nAnswer: -4886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119449 by -10859.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 4 (c) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (527155\/3100 - 169)\/((-18)\/8).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 20607*i\/2 - 51555.\nAnswer: 3*(i - 6874)*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtvtvlvvlvvvtvtavva. Give prob of sequence va.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-495)\/(-15))\/((-9)\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 540 and 7191555?\nAnswer: 258895980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-50 - -16) - (2 - 19)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, b: 5, a: 3}. Give prob of sequence abba.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 172?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 0 + 42312*c**2 - 8 - 9*c - 42122*c**2)*(-c + 3*c**2 + c) to m*c**4 + z*c**2 + p*c**3 + b*c + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(3\/(-2) + 1). Let u = 43 - 43. Suppose u = o + 2*r + 5, -a*o - r + 4*r = 9. Sort -5, o, 3 in ascending order.\nAnswer: -5, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-3))\/(12\/(-18)). Let s(v) = m + 5 + 2 - 1 - v. What are the prime factors of s(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 - 24*b**2 - 29*b + 46. Let v be w(13). Solve 6 = v*u - 10*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 1. Suppose 5*x + 4*m + 28 = -8, -34 = 4*x - 2*m. Let v be f(x). Let g be v\/6*(-4)\/6. Solve 1 = -2*i - o, o + g = 4*i - 0*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 950 and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-468)\/126 + (-6)\/21)\/(-2). What is the closest to x in 0.3, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 15. Let m(k) = 9*k + 3 - 6 + 0*k**2 + s*k**2 - 4*k**2. Determine m(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -14. Let u = p + 79. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(26\/(-4)))\/(3\/12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + 23. Let j = l + -19. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 3 = -l, -g = -1. Let t(x) = -x**2 + 3. Let m be t(0). Suppose -4*j + m*j + 19 = l. Calculate the remainder when 55 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 74912215 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 22 (base 9) to base 4\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 2*w - 4*w + w**3 + 2 + 3*w. Let k be d(2). Let l = -8 - -11. Solve -l*j + k = 3*i, 0*j - 5*i = j - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.159797 micrometers?\nAnswer: 9159.797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 48 + 50. Let w(t) be the third derivative of 0 + 0*t**3 + 1\/4*t**4 + 0*t - 1\/20*t**5 - 1\/40*t**6 - 5*t**v. Factor w(l).\nAnswer: -3*l*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 29*j**5\/20 + j**4\/4 + j**3\/6 - 21*j**2 + 3. Find the second derivative of f(r) wrt r.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 596\/17 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 1014 = 5*m + 981, -5*m + 213 = 47*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/8, 14, 11\/3, -13, 4.\nAnswer: -13, -1\/8, 2, 11\/3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 + (-151)\/435. Is -1 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 3166571657?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 3:23 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 587.2637 litres?\nAnswer: 587263.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + 6 + -7 + 13 - (4 - 20)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-158)\/(-711) - 26\/36?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 306 + -498. Let u be (-4)\/(-6) - i\/9. Suppose 0 = 2*w - 2*q - 62, q = w + 3*q - u. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, y: 2}. What is prob of sequence kkyk?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-62)\/8)\/((-10)\/80). Let d(c) = t*c + 2 - 120*c + 60*c - 3. Let z(w) = -2*w + 2. Suppose -4*i = -3*i - 3. Calculate i*z(s) + 4*d(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Let o be 9*2\/12 - 1. Which is the third biggest value? (a) z (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442 (base 7) to base 11.\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1213 - 385 - 1601 + 423*k**2 + k wrt k?\nAnswer: 846*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 + 19*d**2 - 22*d**2 + 9*d**2.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.78701cm?\nAnswer: 0.0378701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 26\/(-3 + 2 - -2)?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/108 and 119\/63402?\nAnswer: 1141236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/(10\/(-45)). Suppose l*u + 4*u = -2730000. Round u to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2123133.12ns?\nAnswer: 0.0000000245733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/56 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -246*l**3 - l**2 + 508*l + 2. Let u(w) = 246*w**3 + 2*w**2 - 505*w - 3. Let m(c) = 3*t(c) + 2*u(c). What is the second derivative of m(y) wrt y?\nAnswer: -1476*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -69*o**3\/4 + 2268861*o**2\/2 + 4143201*o\/4 - 197295\/2 = 0.\nAnswer: -1, 2\/23, 65765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-62)\/33 - (-6 - -4). Let i be (-1 - 2\/(-4))\/((-48)\/1056). Suppose -10 = i*o - o. Which is smaller: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, -4\/3, 21?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0393952997622 and -1.08?\nAnswer: 1.0406047002378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.102 times 113.4?\nAnswer: 11.5668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -w + 5*y, 0*w = -2*w - 2*y + 18. Let o = w - 3. Let z(b) = b**3 + 6*b**2 - 2*b - 1. Calculate the lowest common multiple of o and z(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11022404 (base 6) in base 4?\nAnswer: -1100200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j + 5*w + 684 = 34*j, -2*j + 3*w + 842 - 832 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 1259*y - 205*y.\nAnswer: -1470*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 9*d - 2*d)*(d**2 - 2*d**2 + 0*d**2 + 2*d**3).\nAnswer: -24*d**4 + 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 8*g**2 + 6*g - 5. Let v be d(-7). What is the third derivative of -16*q**2 + v*q**3 - 2*q**3 + 14*q**2 + 7*q**4 wrt q?\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 0 + (0 - 18 - (-73 - -23 - -22))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 3226*i. Let v(r) = 2*r + 11662. Give y(v(x)).\nAnswer: 8*x**2 + 99748*x + 309626100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 2*j**3\/3 - j**2\/2 - 5*j - 505. Calculate u(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + 39\/12. Suppose 0 = 7*k - j*k - 24. Solve -i = -k*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 + 18*w + 28. Suppose -10 = -74*d + 75*d. Let k be p(d). Calculate the greatest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*k - 10. Let u(n) be the second derivative of 1\/3*n**3 + 0*n**4 + 0 - 1\/10*n**k + 0*n**2 - n. What is the second derivative of u(q) wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -3 - -8 - -2. Let g(d) = -3*d + 0 + 2*d**2 + 0. Let q(c) = -c**2 + c. Let o(n) = -n**2 + n. Let x(i) = 3*o(i) - 2*q(i). Determine v*x(p) + 4*g(p).\nAnswer: -2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 158953523 to the power of 1\/2, to the nearest integer?\nAnswer: 12608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/4 in 1\/16, -1\/3, -5, -2, 0.2, -2\/3705?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 13, -1 in increasing order.\nAnswer: -5, -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -218, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 287*p**4*s**2 - 3*p**3*s**3 + 218*p**2*s**3 + 2*p**2*s wrt p?\nAnswer: 6888*p*s**2 - 18*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, q: 2, o: 8, m: 7}. Give prob of sequence fom.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102147?\nAnswer: 3, 79, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(6) + sqrt(6) + 2*sqrt(6) - sqrt(6))*2)\/(sqrt(8)*5).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 143, 187, 259, 359, 487?\n\"Answer: 14*j**2 + 2*j + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 116*b - 1427. Give z(-67).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (795\/(-315) + (40\/14 - 3))\/((-65)\/45)?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -21*d - 10. Let x(p) = 8*p + 4. Let f(k) = 2*t(k) + 5*x(k). Let q = -1 - -1. Suppose q = -2*r + 8. Determine f(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - 31\/(78120\/105920).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 10:03 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000122555957 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (11 - 1) + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1959, 4070, 6171, 8256, 10319, 12354?\n\"Answer: -j**3 + j**2 + 2115*j - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*f + 20. What is the first derivative of -2*o**3 - 2 - o**f + 0*o**3 + 0*o**3 wrt o?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7*n. Let o(p) = -3234*p - 2. Give o(x(g)).\nAnswer: 22638*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 = -0*v + 3*i, -3*v + 4*i + 13 = 0. Suppose -6 + 0*j + v*j + 2*j**3 + 11*j - 10*j**2 = 0. What is j?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2952981 to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**2 - k**2 + 4*k**6 - 7*k**2 + 3*k**2 wrt k?\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5*h + 3 = 6*h, -h + 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -646503 (base 7) in base 13?\nAnswer: -3c423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/8, -3\/4, 2\/5, 2.45?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a - u - 57, -3*a + 93 = -3*u. Let c be (4\/(-6))\/(1 - a\/6). Factor 0*n - 1\/5*n**3 - 1\/5*n**2 + c*n**4 + 1\/5*n**5 + 0.\nAnswer: n**2*(n - 1)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 448*g**6 + 2058*g**2 - 3 + 2014236*g**3 + 3 - 2014236*g**3 wrt g?\nAnswer: 53760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1954509 = -36*w - 1956741 for w.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + k)*(0*k - 3*k + k) - 2*k**2 - k + k + (2 + 2*k**2 - 2)*(0 - 2 + 0) as i*k**2 + n*k + t and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10470029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68781 and 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 greater than 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + 12. Let j = -19.84 + x. What is j rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 0*b**5 - 40 - 7\/3*b**3 + 6*b + 0*b**4 + 0*b**2 + 10*b**6. What is the third derivative of u(d) wrt d?\nAnswer: 3600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70948412 is divided by 704.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -442 (base 8) in base 15?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/((2 + -3)\/(-3)). Suppose -v*x + 7*x - 65 = 0. Let t(f) = 4*f - 4. Let z be t(x). Calculate the greatest common divisor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4 - 0. Let i = 632 + -1861\/3. Let l = i + -184\/15. Are l and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*(-4 + 0 + sqrt(245) + 5*(sqrt(245)*1 + sqrt(245))))**2 + -1 + (sqrt(245) - (sqrt(245) - (sqrt(245) - (0 + sqrt(245))))) + -3 + -1*sqrt(245)*5.\nAnswer: -9891*sqrt(5) + 474575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 1\/20*b**5 + 1\/3*b**3 + 0*b**4 + 0*b + 0 + 2*b**2. What is the first derivative of w(v) wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8815 and -8327.\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4 + 223*l**2 - 184*l + 1 wrt l?\nAnswer: 24*l**2 + 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -208*t. Let r(m) = -6*m**2. Give u(r(p)).\nAnswer: 1248*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/52550 and 61\/8.\nAnswer: 210200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/((-663)\/(-52)))\/(9\/(-6)*8\/477).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 10*m + 8. Let q be h(-9). Suppose -3*i + 15 = 3*u, 4*u = 3*i + 2*i - 16. Which is the third biggest value? (a) -2\/7 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -37*s. Let k be g(-2). Let u be (-2)\/10*-1 - (-80)\/(-25). What is the least common multiple of k\/6 - u\/(-9) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**4 + 5*c**3 - 5*c - 14. Let q(n) = 3*n**4 + 6*n**3 - 6*n - 15. Let w(v) = -6*f(v) + 5*q(v). Find the first derivative of w(k) wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -369*y**2 + 2*y + 12. Let m(k) = k**2 + k + 1. Let f(j) = -c(j) - 2*m(j). Is f(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vccccvccc. What is prob of picking 1 v and 1 c?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.88 + 0.32. Let m = -94.6 - v. Round m to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - -5 - -1*6\/3. Suppose -5*z + 292 = v*c, -4*c = 2*z - 334 + 54. Let l = -67 + c. Which is smaller: l or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u - 4. Is 2 a factor of y(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23987 and 39176?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7516 is divided by 2500?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**2 - 269*s + 973.\nAnswer: 2*s - 269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 23 + 74*k - 9*k + 13*k. Is d(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 2:42 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 726.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/839, 3, -0.3, -1.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucrc when four letters picked without replacement from rrrrcuc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 2 + 1 + 2 - 2*m + 1. Let j be n(-6). Suppose 12 = 3*i - 18. Calculate the greatest common factor of i and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x + 1. Let c be g(-2). Suppose 5*j + 2 + 72 = -4*u, -3*j - 74 = -5*u. Let z = j - -20. Solve -c = 3*p + 4*a, -2*p + 7*p - z*a = 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 55280*p**2 + 25*p - 3. Give r(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89655 and 371520?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -11. Let z = 43 + p. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, r: 1, c: 1, b: 1, l: 1}. What is prob of picking 1 n, 1 l, and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -46 - 252. Suppose 4*a - w = n, -2*w - 113 - 74 = -5*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1216) + sqrt(1216) + 0 + 1)*-1*3*3.\nAnswer: -144*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = 5*v + 23, 0 = k + 4*v - 29. Suppose 8 = -4*j, 9 = -2*h + 5*j + k. Suppose 2*q = -h*q + 45. Which is bigger: 10 or q?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8924.784kg to micrograms.\nAnswer: 8924784000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 299\/36 - 35\/4. Which is the nearest to 2\/7? (a) 1\/5 (b) -2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1110 + 1113. What is the second biggest value in -2\/9, 5, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-6 + 10) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86289523 to the power of 1\/2, to the nearest integer?\nAnswer: 9289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 152307 or 0?\nAnswer: 152307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) -10166 (c) 0.04 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 1. Let a(q) = 2*q**3 - q**2 + 13*q - 1. What is -a(f) - b(f)?\nAnswer: -2*f**3 - 13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 5*t**2 - 5*t + 4. Let g be (4\/(-1))\/(2\/3). What is r(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20270.527 to the nearest one hundred.\nAnswer: 20300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*m = 171 + 277. Calculate the lowest common multiple of m and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142256 (base 10) to base 4.\nAnswer: -202232300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/28119 and -31\/1911?\nAnswer: 196833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-9))\/((-2)\/9). Suppose 12 = r*q + 3. Calculate the remainder when 24 is divided by (-13)\/2*(q + -5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*p + 5*n - 0, -7 = -5*p - 2*n. Suppose -2*l = -5*j - l + 1, 0 = j + l + p. Solve x - 3 - 2 = j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652673641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 - 78.31. Let b = 0.4147 - 0.1047. Let p = b - n. Round p to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14745428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f, 3*q - f - 307 = -3*f. List the prime factors of q.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 11*s + 1. Suppose -5 = -5*q, -2*q + 4 = -o + 3*q. Calculate the remainder when 21 is divided by b(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 562*o**2 - 6072*o**2 - 1 as c*o**2 + q*o + u and give c.\nAnswer: -6634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**3 + 324*t**2 + 1973*t + 69. What is v(-58)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3126.\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 4:03 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 89*a**2 - a. Let h be f(1). Let o be 84\/22 + (-14)\/(-77). Suppose -x = g - 16 + 2, -4*g = -o*x + h. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 4)*1*(-10 - -6). Solve 2*p - b = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 - 4*t**2 - 13*t - 59. Suppose 4*a + 3*z + 2 = -5, -2*a - 4*z = -4. Let c = 28 + -1. What is the lowest common multiple of c and q(a)?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/10)\/(20\/(-25)). Let b(d) be the second derivative of 0*d**3 - 1\/2*d**g - 1\/4*d**4 - 3*d + 0. What is the first derivative of b(k) wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.542813102 to four decimal places.\nAnswer: 0.5428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 < 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -7. Suppose 0 = q - 0*q + 9. Let t = q - -13. Solve -z = t*r + z - 14, r + f*z = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30873 and 369?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 21*i + 270 = 37*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/54 smaller than 6751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 100*l**3 + 3*l**2 - 8. Let o(q) = q**3 + q**2 - 2. Calculate -4*o(t) + u(t).\nAnswer: 96*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h - 12 = 0. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1996, 5, -8 in ascending order.\nAnswer: -8, 5, 1996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -12. Is 3 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r - 3. Let n be w(3). Suppose -n*l + 15 = -l. Suppose 0 = l*x - 41 - 13. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31422620513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9063 divided by -159?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alkklakljkjllllklkj. Give prob of picking 1 k and 1 a.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 + -3. Let b = 9835 + -9948.03. Let v = -113 - b. What is the closest to z in v, -2, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24609 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 229360 and 210.\nAnswer: 4816560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1577029 is divided by 455.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -57*t**3 + 6*t**2 + 58*t**3 - 12 - 5*t + 10. Determine b(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 1215340?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-1)\/18 - 17\/6. Let m be (2\/35)\/((-1)\/5). Let q be ((-66)\/8)\/11*(-9 - -7). Which is the second biggest value? (a) q (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*w, d - 4*d + 87 = 4*w. Suppose z - d = -5*o, 146 = z + 4*z + 4*o. 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: Let q = 139 - 279\/2. Sort q, -3, -1, -2.\nAnswer: -3, -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 - 3169*q**2 - q**3 - 5 + 3161*q**2 + 10*q. Give u(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*x**4 + 17305*x**2 - 1495*x + 10?\nAnswer: -108*x**2 + 34610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 135 + 31. Calculate the remainder when p is divided by ((-175)\/(-10))\/((-2 - -3)\/2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 + 2. Let l(w) = -11*w**2 + 3*w - 21. Let q(i) = 23*i**2 - 8*i + 50. Let o(b) = 5*l(b) + 2*q(b). What is 2*o(d) + 5*p(d)?\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3)**(-19\/2) assuming h is positive.\nAnswer: h**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7477146869 to the power of 1\/6, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4 - 1. Let s = o + -3. Suppose 15 = 5*h - s. Solve -h*u + 8*u + 4 = -2*x, -5*x = 4*u - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3517 + 3513. What is the closest to k in -4, 13, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7366856 to the power of 1\/2, to the nearest integer?\nAnswer: 2714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.18, -58, 6?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(2*(-4)\/8). Let b be j\/3*(17 + -2). Suppose 216 = 49*q + 69. Sort 1, b, q.\nAnswer: 1, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s**5\/9 - 26*s**4\/9 - 32*s**3\/9 + 112*s**2\/9 - 32*s\/9 - 32\/9 = 0. What is s?\nAnswer: -2, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*i + 4*y, 5*y - 25 = -3*i + 4*i. Suppose i*a - 5*a + 85 = 0. Let x = a - 10. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iisu when four letters picked without replacement from siuusi.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4478*v - 14078*v - 7014*v + 163*v - 5821*v.\nAnswer: -31228*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -146984 greater than -146976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 0. What is the remainder when 11 is divided by -3*(-3*1)\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2593, 0.\nAnswer: -2593, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*g, -4*p - 8 = -6*p - g. Let n(o) = o + 2. Let m be n(0). Put m, 5, -34, p in decreasing order.\nAnswer: 5, p, m, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 75*t**3 + 2*t**2 - 2*t - 5. Let m(k) = -k**2 + 1. Let c(o) = -i(o) - 4*m(o). Let j be c(-1). What is the highest common factor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 13*c - 36. List the prime factors of p(11).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, 2\/9, 1.7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*k + 104. Let q = k + -64. Suppose q*j = 23594 + 5778. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n + 1. Let f be o(1). Let i = -3 + f. Let a(x) = -239*x + 77*x + 2*x**2 + 84*x + 77*x + 9*x**3. What is a(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 5*v - 4*g, -4*v = v + g - 69. Suppose -3*n = w - 1 - 10, w - 9 = -2*n. Let l(q) = 3*q. What is the least common multiple of l(n) and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 670804?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7342648 is divided by 1223720.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g**(-3)\/g))\/g*g)**(-5\/9)*(g\/((g**(-1\/2)*g)\/g)*g)\/(g\/g**(1\/9)))**(3\/2) assuming g is positive.\nAnswer: g**(-31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) 0.1 (c) -1 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -39*o**2 - 101*o - 26. Determine s(-6).\nAnswer: -824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 344 and -4086077.\nAnswer: -4085733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 2*z**5\/15 + 7*z**3\/3 - 14*z**2. Find the first derivative of q(h) wrt h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 53 + 10*j**2 - 3*j - 11*j**2 - j + 3*j. Let m = -3 + 3. Is z(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.862 - -0.860245. Round b to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -134*o**7\/105 - 299*o**4\/24 + 111*o**2 - 2. Find the second derivative of u(l) wrt l.\nAnswer: -3216*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -27*b**2. Let c(s) = -7965834*s. What is m(c(y))?\nAnswer: -1713271805520012*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 16879975 = -0*q - 5*h, -h = 5. Round q to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-6)\/(-8) - (-102)\/216. What is the fourth smallest value in -0.3, -4, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and (-4)\/10*(-6 + -9).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-8))\/((-1)\/4). Suppose 0*o + q + 175 = f*o, -2*o + 5*q = -93. What are the prime factors of o\/8 + (-3)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.304137623 rounded to four dps?\nAnswer: 0.3041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4610, -4616, -4622?\n\"Answer: -6*f - 4604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45.17 and 0.00884?\nAnswer: -0.3993028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -29878.244 to the nearest ten.\nAnswer: -29880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 14. Let j = 14646.07 + -14646. Does j = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 22 + -7 + 11 + -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (484\/(-8349)*-506)\/((32\/(-18))\/(-2))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/15*(-46)\/(-4). Let l(y) = y**2 - 28*y - 54. Let k be l(28). Let m = k - -58. Which is greater: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2834, 6081, 9328, 12575, 15822, 19069?\nAnswer: 22316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**2)\/k*k)**(-32)*(k*k**(-3\/2))\/(k\/(k**2\/k)))**(-3\/10) assuming k is positive.\nAnswer: k**(579\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 282? (a) 1\/4 (b) 0.31 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 156 = 11*w - 80 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sffrnrlrssnsfrrnss. What is prob of picking 2 s?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 + -1 - (-3 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16280*a - 1676859 - 309301 = 0 for a.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -5. Let q(c) = c**3 - 5*c**2 - 5*c - 2. Let x be q(d). Suppose 0 = x*k - 55 + 3. Solve 4*h + k = 5*m - 19, m - 4 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858486533 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9994593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 40984.36 millilitres?\nAnswer: 40.98436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19327 - 10953. Let g = y + -5853. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -1\/60*x**5 + 3*x**2 + 0*x**3 + 0*x + 1\/8*x**4 - 4. Give a(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 28*p = 36. Suppose 3*u - 4*c + 6 = 0, p*u + 4*c = -0*u - 36. Let q = -4 + 0. Put u, q, -1 in descending order.\nAnswer: -1, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.56*-84\nAnswer: -131.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3528 = 2*l. Suppose 2*x + l = 9*x. Find the common denominator of (-1437)\/x + (2 - 24\/14) and 101\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6) - (22352\/(-1440) - -15))*-2?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g = a + 33*g + 2, -a = g - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/6 - 2\/(-2). Let x(o) = 2*o**2 + 7*o - 150. Let i be x(7). Let j = 23 - 22. Which is the biggest value? (a) k (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1686304 and 4215760?\nAnswer: 8431520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 11*g + 4004 = 0. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2659005nm to kilometers.\nAnswer: 0.0000000000002659005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27840 divided by -64.\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*a + 127 = 3*a, -3*g - 5*a = -188. What is the remainder when 497 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0237 + 0.0237. What is the fourth smallest value in m, -1, -0.98, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.054 - 22.054. Let b = m + 21.99999905. Round b to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 11:43 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340\/4896*(-1)\/(-20)*8.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 16625 + 13522*m - 16625 as u + o*m and give o.\nAnswer: 13522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, p: 2, u: 5}. What is prob of picking 2 u and 1 p?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004639945 rounded to five dps?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + a + 5*k + 8 + 82 - 59 = 0, -21 = 8*a - 2*k + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b - 5*b - 3 + 16*b - 14*b. Let s(u) = -20*u - 7. Determine 3*s(o) - 7*t(o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1044852 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/74 and -11\/740.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 11*a**2 + 9*a - 8. Let x be w(-10). Let k(s) = s**2 - s + 6. Let y be k(0). Let r be (-4)\/y*18\/(-4). Do x and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**4\/2 + r**3\/3 - r**2 + 5*r - 7. Let t be y(0). List the prime factors of -5*t\/(-75) - 538\/(-6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**(-47)*(y\/(y\/(y*y**(-1\/12))))\/(y*y*y**(-2\/9)*y*y)*(y\/(y**(1\/2)*y))**(-46)\/(y**(-7)\/y**5) assuming y is positive.\nAnswer: y**(1721\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**5\/60 + 7*k**4\/24 + 2*k**3\/3 - 3*k**2. Give y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29914 and 33309239.\nAnswer: 66618478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13272 plus -0.4?\nAnswer: 13271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 210095 (base 12) in base 13?\nAnswer: 152018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 34*k**2 + 2*k + 81. Let g be 3 + (-1 - (-180)\/(-5))*1. Let w be i(g). Solve w*p = 12*p + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3234 and 4649414?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 16793*v - 11750*v + 14229*v + 5175*v as w*v + q and give w.\nAnswer: 24447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 201 in 0.3, 4, -1, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1164 - 1166. Let s(h) be the third derivative of -h**5\/60 + h**4\/24 - 2*h**2. Give s(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123 + 144*d**6 - 118 + d**2 - 49 + d**2 - 26*d**6 wrt d?\nAnswer: 14160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 5*f**7\/42 - 13*f**6\/6 + 55*f**5\/4 - 335*f**4\/12 - 140*f**3\/3 + 200*f**2 - 183*f. Solve x(s) = 0.\nAnswer: -1, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*j**2 + 323*j**2 + 275*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 + 0*f**3 + 0*f**3 + 5*f**3 + f**3 - 4*f**3 + (6*f**3 - f**3 - 4*f**3)*(3 - 2 + 0) + (6*f + 13 - 13)*(-3*f + 3*f - 2*f**2).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 60 (b) -1 (c) -11.9 (d) 20 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - 1 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.33466 + 29.76796. Let s = 30.1 - u. Round s to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 4*h**2 - 2*h. Let c(b) be the second derivative of b**5\/10 + 5*b**4\/12 + b**3\/2 - 8*b. Let t be 0\/3 - (4 - 1). Give t*n(g) - 2*c(g).\nAnswer: 2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s - 25. What is g(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6054001149.\nAnswer: 3, 7, 1531, 188299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 + -83.97. What is the second biggest value in k, -2, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0773421 + 0.073498. What is a rounded to four dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -31. Factor -5*a**2 + 181*a**3 - 73*a**3 + 0*a - 73*a**y - 15*a + 25*a**4.\nAnswer: 5*a*(a + 1)**2*(5*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7965231 divided by 3?\nAnswer: -2655077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4488709969 to the nearest integer?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 52 + (6 - -13)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 30 = 34. Let g(b) = 7*b + 1. Determine g(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1459*v - 6870. Is 353 a factor of b(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 587790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3045, -6095, -9145?\nAnswer: -12195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t. Let u(o) = 26*o + 4. What is u(l(n))?\nAnswer: 78*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 2, 18\/79, -1, -0.9?\nAnswer: 18\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 807, 1610, 2407, 3198?\n\"Answer: -3*j**2 + 812*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*b - 6*b - 1 - 14*b)*(-14 - 27 + 57) as w*b + t and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -cb111a8?\nAnswer: -cb111ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32385412 - -66300566. Let z = x - 33915484.00223. Let l = z + 330. Round l to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 51 (b) 65\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h**2 + 6*h**2 + 6*h - 2*h - 3*h**3)*(29 - 10 + 10).\nAnswer: -87*h**3 - 29*h**2 + 116*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzxiivikzvvkz. Give prob of picking 2 x.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Let b(j) = -83*j - 2. Let x(l) = b(l) + 6*h(l). Is x(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 - 43. Let j be 1029\/w - (-4)\/(-22). Solve 3*f = -5*r - j, 3*r + 3 = 4*f - 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**5\/60 + 13*u**4\/24 + 7*u**3\/3 - u**2 + 80. Factor s(n).\nAnswer: -(n - 14)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 6:09 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -188 + 192. Suppose 4*i + 35 - 583 = -4*l, -s*l + 4*i = -572. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*b + 1, -31*b + 35*b + 14 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 6, s: 4, c: 1}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwdkdwwddwzwxdxdw. Give prob of sequence dx.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -36. Let q be 7*(4 + (-72)\/j). Let g(b) = 71 + q*b - 71. What is g(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76083*f**6 + 93*f**5 - 2*f**3 - 126935199*f**2 wrt f?\nAnswer: 9129960*f**3 + 5580*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/60)\/(2*(-3)\/9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = 3*v + 159 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8056 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.1, -0.4, 284, 4, -10?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 1. Suppose 2*o = -m*o + 1570. Is o*(-2 + (-10)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/12*72\/((-4)\/(-1)). Let g(u) = u**3 - 14*u**2 + 26*u - 24. Let n be g(r). Let b(z) = z**3 - z**2 + z - 4. Calculate b(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56.9 + 23.7. Let i = s + -3.9. What is i rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186790 divided by 5.\nAnswer: -37358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (33\/9)\/(16\/1392)?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-2\/13)*i))\/i*i**(12\/7))**48 assuming i is positive.\nAnswer: i**(-576\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 12:01 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*z - 123*z + 359*z + 80*z.\nAnswer: 523*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1250) + sqrt(1250) + 0)*2 + (sqrt(1250)*-3 + sqrt(1250) - sqrt(1250)) + -2)**2*-6*3.\nAnswer: -22572 + 1800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 316289000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -12*c**3 + 9*c**2 + 4*c - 2. Let g be o(-2). Differentiate -2*i + 5*i**3 - 3*i**3 - i - 28 + g wrt i.\nAnswer: 6*i**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 2\/7, -5.\nAnswer: -5, -1, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, 6.\nAnswer: -11, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*m - 59, 0 = 2*o - 4*m - 4 + 2. Calculate the highest common divisor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1869056.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 30*h**2 + 110*h + 356. Give x(-33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - 1*sqrt(176))**2 - (sqrt(539) + -2)**2.\nAnswer: -444 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.0083 rounded to 1 decimal place?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -26.8 - 1.539\nAnswer: -28.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 2*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70623 is divided by 48.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + 3*b)*((0 + 0 + 2)*(-16 - 21 - 16) - 2 + 3 + 1) + (b - 2 + 2)*(-5 + 0 + 3 + 4 - 2 - 1 + 0 - 2 + 1 + (-1 + 1 - 2)*(2 - 1 + 0) + 0 + 3 - 4).\nAnswer: -317*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-207)\/(-621))\/((-1)\/27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 3)\/((-5)\/170). Let i = 104 + c. Calculate the remainder when 31 is divided by (-5 + (-17)\/(-2))\/(i\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**6\/540 + 2*g**5\/135 + 5*g**4\/108 + 2*g**3\/27 + g**2 - 2*g. Let h(s) be the first derivative of v(s). Factor h(t).\nAnswer: 2*(t + 1)**2*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nne when three letters picked without replacement from {a: 2, y: 2, e: 4, n: 5}?\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6365 = 15*o + 6440 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -546900 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r - 11*r. Suppose -23*j + 24*j + 5 = r. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -12) + 0 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -144 (c) -26022 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*r**3*v**3 + 3*r**3 - 31*r**2*v**3 + 2*r**2*v - r*v**3 wrt r?\nAnswer: -36*v**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 217*j + 6. Let h be m(2). Suppose -435*n - 30 = -h*n. Solve -3 = -n*f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-780)*(-18)\/(-72)*-2*2.\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -1921675929242.\nAnswer: -1921675929244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**7\/735 + w**6\/140 + w**5\/35 - w**4\/3 + 8*w**3\/7 + w**2. Factor d(a).\nAnswer: -2*(a - 2)**3*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lffffffflfffffffff. What is prob of sequence lfff?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -135 + 185. Calculate the lowest common multiple of 25 and l.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2504045 - 5?\nAnswer: -250404a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from {t: 2, r: 10, w: 2}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 50. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -4.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 1 h when three letters picked without replacement from shamasshs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2 (c) -6 (d) 1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*l*v + 38*l - 15*v - 181 with respect to l.\nAnswer: -26*v + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 9:35 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1839.\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 56, -24, 3\/7, -6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*18\/(-4)*(-46)\/(-1311)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 8. Let i be 2\/(-3 - (-125)\/40). Suppose 2*f + f - i = o, 0 = 2*o - 10. Let j be q(f). Calculate the greatest common divisor of 3 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -0.4, -0.1, -2\/9 in descending order.\nAnswer: 6\/7, -0.1, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294995313 a multiple of 2175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4709176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -57. What are the prime factors of ((2\/o)\/1)\/(18\/(-4482))?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*h - 15*h + 39*h)*(-3 + 7 + 24).\nAnswer: 224*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13433143 (base 5) in base 2?\nAnswer: -100010001000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**10\/4320 + o**7\/420 + o**4\/6 + 6*o. Let h(z) be the third derivative of x(z). What is the third derivative of h(f) wrt f?\nAnswer: 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93623047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/54*3528\/210*40\/14?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 6*m - 5. Suppose 14*s = 5*s - 63. Let x be n(s). Let l = 2.4 + 7.6. Which is smaller: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50229920 and 7585?\nAnswer: 1858507040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/459*-6)\/((-2)\/9) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 - 3*f - 6. Give w(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.50018 - 4?\nAnswer: -14.50018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 966 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + 17 + -26\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*h**3*s - 14*h*q**2 + 9*h*q*s - 714*q**2*s + 2*q*s wrt h.\nAnswer: -9*h**2*s - 14*q**2 + 9*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -1 (c) 4 (d) 0.5 (e) -4 (f) 9\/124 (g) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -0.2, 5, 1, -43, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (66\/4)\/((-3)\/(-12)). Suppose -4*g = 3*z - 34, 2*z + 2*g = -g + 24. Let k be (-2)\/z + y\/9. Solve -2*v + 1 = -k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:38 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 + -10 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1211 + 1285 = 12*a. Let l = 222 - a. Calculate the remainder when 47 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 626 + -179. Let g = r + -82. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31.17 and 43.9?\nAnswer: 1368.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5 - 1 - 4*a**3 + 8*a**2 + 5*a**3. Let q be y(-8). Suppose -q*u + 0 = -8. Solve u*f - f + 13 = -5*i, 0 = -5*f + 2*i + 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 1116 + 44. Let j = -195 + p. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + 9 + 0 - 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67601629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 933906*p**3 + 2*p**2 - 1867990*p**3 + 934055*p**3.\nAnswer: -29*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/9 (b) 1\/8 (c) -5\/46 (d) -2\/7 (e) 1 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, x: 7, y: 5}. Give prob of picking 1 y, 2 x, and 1 g.\nAnswer: 245\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + -42 + (26 - (33 - 80))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -166*w**2 + 2*w + 368. Let v(m) = 332*m**2 - 4*m - 737. Let o(y) = -5*q(y) - 3*v(y). What is the first derivative of o(r) wrt r?\nAnswer: -332*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*a = 98*a - 56 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1213 (base 6) to base 12\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -44*o - 12. Let r be v(-3). Let d = r - 113. Suppose 0*i - d*i + 1001 = 0. List the prime factors of i.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 109.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.32 + -0.32. Let q = -5.00019 + u. Round q to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510714 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**6\/180 + t**4\/24 - t**3\/6 - t. Let l(r) be the second derivative of a(r). Differentiate l(p) wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y**2. Let j(s) = 246*s**2. Determine h(j(t)).\nAnswer: -363096*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29145 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -11*t + t**3 - t**2 + t**2. Let m be (-54)\/(-5) - (-6)\/30. Let o(b) be the first derivative of -b**2 + 3. Determine m*o(w) - 2*l(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10300143000 rounded to the nearest 100000?\nAnswer: -10300100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1189*s + 47*s - 11658 = 19176 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 1\/6*d**3 + 0*d**2 + 0 - 1\/30*d**6 + 0*d**5 + 5*d + 0*d**4. Find the second derivative of v(r) wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -129*d + 28*d - 398, 10 = -2*n - d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11*d + 2. Let z be c(-3). Let h = 13 - -1. Calculate the greatest common factor of z and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126388227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15336 is divided by 1706.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 7:33 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*k = -131*k - 45. Solve -2*q + 1 - k = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = -u + 2*u, -4*f + 48 = 3*u. Calculate the greatest common factor of f and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 14406?\nAnswer: 57624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2800\/(-245))\/(-1*((-3)\/(-15))\/((-12)\/60)).\nAnswer: -80\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 426, 520, 616, 714, 814, 916, 1020?\nAnswer: 1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 6*b + 65. Give s(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 3, -4, 2.\nAnswer: -4, 2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177 - -182. Suppose 4*m - x*g - 10146 = 0, -5*m + m - 3*g = -10162. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2143 + 2941. Calculate the highest common factor of z and 228.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 35. Is 7 a factor of (c\/(-15))\/(1\/(-27))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4885903412 to the power of 1\/2, to the nearest integer?\nAnswer: 69899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 234765542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 11:28 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -558120 and -0.033392.\nAnswer: -558120.033392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/((-21328)\/258))\/((-4)\/(64\/(-30))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34547?\nAnswer: 179, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3))**(-27\/2)*(b**0)**(-35) assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aehveevaaeelvjj. What is prob of sequence jhee?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2630 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 98*z**2 - 187*z**2 + 91*z**2 - 5 - 4*z**3 as l + n*z**2 + k*z + j*z**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4948.6 + -0.045588.\nAnswer: -4948.645588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 291 - 277. Let c(p) = p**3 + p**2 + p + 20. Let w be c(0). Suppose -5*g + f - 3*f + w = 0, a = -3*g + 4*f. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(336\/(-21)))\/((9\/7)\/(-3))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**3\/2 - j**2 + 176*j. Let m(s) = 2*s. Calculate l(m(y)).\nAnswer: 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -21. Let b(q) be the second derivative of -1\/4*q**4 - 3\/5*q**5 + f - 7\/30*q**6 + 1\/3*q**3 - q + 0*q**2. Factor b(i).\nAnswer: -i*(i + 1)**2*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 22998?\nAnswer: -11\/11499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**3*g**5 - 2*b**3 - 30*b**2*g**5 + 3*b*g + 128*b + 2*g**2 wrt g.\nAnswer: 360*b**3*g**2 - 1800*b**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253689236?\nAnswer: 2, 193, 373, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g**(-1\/3)*g)*g)*g**6*(g*g*g**(-2\/7))**(-1\/38)*((g\/g**(1\/3))**(-2\/143))**(2\/181) assuming g is positive.\nAnswer: g**(58054505\/10327317)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, -5, 2, -1 in increasing order.\nAnswer: -5, -1, 2, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171538909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81\/50 + -3\/2. Let h = -5037\/13 + 10139\/26. Which is the second smallest value? (a) 1\/2 (b) 1\/3 (c) h (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o + 11*o**2 - 7*o + (-2*o - 4 + 4)*(1 - 1 - 2*o).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-45)*6 + (-396)\/(-570). Let w = 0.01 + -2.01. Which is the third biggest value? (a) w (b) -2\/3 (c) 1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -210, -865, -1958, -3489, -5458?\n\"Answer: -219*w**2 + 2*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4917 * 133\nAnswer: 653961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2164 = -5*i, -5*i - 2*t + t + 2159 = 0. Suppose 0 = -11*f + 5*f + i. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377242497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3380710 and -99\/18931976.\nAnswer: 94659880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301d48 (base 14) to base 16.\nAnswer: 18b38c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 211028086 to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.1 take away 41.7894?\nAnswer: -20.6894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 109\/545 - (-2)\/(-10)*-129. What is the highest common divisor of 923 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (87 + -78 - (2 + 12)) + 2 + -42?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2939047 (base 10) to base 11\nAnswer: -1728171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**22\/(d\/d**(-1\/4)))\/(d\/(d*d**39*d*d)*d)**40 assuming d is positive.\nAnswer: d**(6483\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x + 907 + 97 = 111 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154232 and 18.\nAnswer: 1388088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 14) to base 9\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3824, 5, -3, -2, 1 in ascending order.\nAnswer: -3824, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7574 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.214 - 0.17. Let y = c + -0.0440057. Round y to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*p + 538 = 551 + 6971 for p.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 2790.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, 19.\nAnswer: -4, 1, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/15 + 8\/(-5). Let f be (-44)\/(q*(-1)\/(-2)). Let d be 4 + (-84)\/9 + 10 + (-4)\/6. Calculate the highest common factor of f and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4164 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*l + 12 = 0, -l + 2 = 3. Let c(h) be the first derivative of -h**3\/3 - 11*h**2\/2 - 4*h + 8. Is c(m) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**2 - 1158 + 10*n - 13*n**3 + 1159 + 7*n**3 to the form y + k*n + x*n**2 + r*n**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a factor of 5604205380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**4\/4 - 8*l**3\/3 - 7*l**2\/2 - 5*l - 177. Calculate the remainder when 170 is divided by v(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*p + 2*n, 0*n - 4*n + 16 = p. Solve -u - p = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-13*q + 10*q - 23*q)*(-3 + 3 + q)*(1 - 1 - 2*q) - 3*q**3 + 3*q**3 + 2*q**3 + 2*q)*(0*q**2 + 2*q**2 + 3*q**2).\nAnswer: 270*q**5 + 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 17 = -r + 6, 30 = -5*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, j: 2}. Give prob of picking 1 j and 1 a.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588831?\nAnswer: 3, 196277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.98224 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -6. Let v = 83509 - 83289. What is the greatest common factor of y and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3361986332 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6820000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let x = 2 + s. Solve x = -0*k + 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-3 + 6)*-5. Let m = 3 + l. Suppose 2 = 9*g - m*g. Solve 9 = -g*b + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73796 and 10678.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -747, -746, -745, -744, -743, -742?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -935 - -26565?\nAnswer: 25630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1680000020\/50 + (-2)\/5. Round v to the nearest one million.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3*k = -9, 3*s - k = 3*k - 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:13 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 124 - -148?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 8:46 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*h + 3*h = 6, 2*q - 18 = h. Solve -4*k - 4 = -4*n, -n - q = -6*n + 4*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 86*t**2 - 14*t + 3*t + 7*t.\nAnswer: 86*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3909429 divided by -13\nAnswer: -3909429\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 + -5*6\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) -0.9 (c) -8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*k**5 - 4*k**4 + 13*k**3 + 2*k**2 - 78*k + 4193 wrt k.\nAnswer: -140*k**3 - 48*k**2 + 78*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 3. Let z be (9 - 19)*(16\/(-10))\/(-4). Put q, -8, z in descending order.\nAnswer: q, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + (1*sqrt(143))\/sqrt(11))*5 - (5*sqrt(78)\/sqrt(2))\/(sqrt(108) - (sqrt(108) - sqrt(108)*-3)).\nAnswer: 14 + 95*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w**3 - 3084*w**2 + 614656*w - 611528. Let r(p) = 9*p**3 - 3072*p**2 + 614657*p - 611529. Let a(z) = -5*c(z) + 4*r(z). Factor a(q).\nAnswer: -4*(q - 391)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1307*x**2 - 69 + 191*x - 48*x - 67*x - 76*x.\nAnswer: 1307*x**2 - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2)\/(x*x**8\/x*x)*(x**(1\/2))**(-46)*(x*x*x\/((x\/((x\/(x\/(x\/x**(-6\/7))))\/x)*x)\/x*x)*((x**(-1\/3)\/x*x)\/x)\/x)\/(x**0)**(-7\/11) assuming x is positive.\nAnswer: x**(-724\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180*r - 413*r = 11505 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/41, -0.5, -0.3, -3 in descending order.\nAnswer: 3\/41, -0.3, -0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 8. Let f be x(-4). Suppose 2*w = -3*u + f, -u + 8 = -5*w + 31. What is the smallest common multiple of 7 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/6)*w)\/w*w)\/w*(w\/w**(-1))\/w*w**5\/w*w**(2\/3) assuming w is positive.\nAnswer: w**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzccczzczzzd. Give prob of sequence zz.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38756139 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8*b - 24 = 0. Suppose 3080*v = 3051*v + 29. Put -3, v, b in descending order.\nAnswer: b, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-177)\/(-9) - 2\/(-6). Suppose -3*s + k = s. Suppose -w + 5*w - 7 = -3*q, 0 = -q + s*w + 34. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2726020 to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 11:53 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.024931 and 0.09?\nAnswer: 0.065069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 3)\/(-9 + (-452)\/(-48)) + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/322023 and 43\/66056.\nAnswer: 2576184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.64663 months in years?\nAnswer: 14.7205525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9*(-3 + 33\/9). Let w be (d\/(-9))\/(1\/3). Is 25 a factor of 2*(-25)\/(-4)*w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -1094.6?\nAnswer: -4378.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -625, -1252, -1907, -2590, -3301, -4040?\n\"Answer: -14*o**2 - 585*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l. Let h(b) be the second derivative of 25*b**4\/12 + 9*b. Let c(f) = -26*f**2. Let v(a) = -5*c(a) - 6*h(a). What is v(r(p))?\nAnswer: -80*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5915 is divided by 563.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 13050 + 44650 = 2*b, 3*p - b - 23705 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 4.7.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -317201*q**3*s + 15*q*s - 4*s + 416 wrt q.\nAnswer: -1903206*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*p)*(-3 + 3 - 2) - 120*p + 1345 - 1345 + (-3 - 6 + 4)*(0 + 0 - 2*p) - 2 - 2*p - 4*p + 4*p - 3*p + 4*p - 3*p + (-p + 2 - 2)*(2 - 3 + 3).\nAnswer: -120*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3511\/6 + 583. Calculate the common denominator of 17\/66 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 11*h**2\/2 - h + 322. Calculate t(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 6. Let a(u) = -2*u - 7. Let s(p) = -4*a(p) - 5*k(p). Let y be s(-3). Suppose -b + y + 3 = 0. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 18*l - 3. Let o be m(17). Let b be 1385*4*(-3)\/o. Is (2\/14 - (-24)\/28)*b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 11*s**2 + 78*s + 865. Determine m(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13*w - 176. What is m(12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*h - 47, 0 = -3*h + 7*i - 2*i - 25. Let y be 0 - (h\/(-2) + 0). Calculate the least common multiple of 7 and (-23)\/y + 9\/(-15).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**5\/60 + n**4\/4 - n**3\/2 - 5*n**2\/2 - 2*n. Let z(s) be the first derivative of h(s). Give z(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**7\/105 + j**5\/60 - 3*j**2\/2 - 2*j. Let x(p) be the first derivative of q(p). Find the third derivative of x(s) wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-6))\/(4\/48*4). Is 24 a factor of (-5001)\/(-10) + (r - (-116)\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/85 + 2*26\/(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*p - 1. Suppose 4*v - f = 22, 5*f = 3*v + 6 - 31. Let z be (6\/v)\/((-4)\/(-30)). Solve p*j - m = -z, -2*j + 0*m - 3*m - 13 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 1448 + 37162 = 0. Does 52 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3397.775 nanometers?\nAnswer: 3.397775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 2:39 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*b - 7 + 20, -b = 2*h - 10. Find the second derivative of -u**4 + u**h + 2*u + 0*u - u**3 wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -14, -0.03, 3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2 + 3\/3. Suppose 28 = 4*s - 4*q, -4*q = -5*s - d*q + 50. Suppose 5*i = 0, 0*i = -5*a + 3*i + 240. What is the greatest common factor of s and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s + 2. Let k be 2 - -3 - 2 - -1. Let t be (11\/s)\/(2\/k). Solve -w - 15 = -2*o + 5*o, 2*o + w = -t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.081 + 3.619. Let x = 6.4 - m. Let y = -3.7 + x. Which is greater: y or 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.3231 millilitres in litres?\nAnswer: 0.0763231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1063 - -1062.99999703. Round x to seven decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8974*g**4*z + 3*g**3*z**3 + 35573*g**2*z**3 + 7*g**2*z**2 wrt g?\nAnswer: 215376*g*z + 18*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Let m = o + -7. Let w be m\/14 - (-36)\/(-70). Which is the closest to 1\/2? (a) w (b) 0.2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14 + (20 - (-55)\/(-5)). Sort z, -2, 23, 1 in ascending order.\nAnswer: z, -2, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31042, 31043, 31044, 31045, 31046, 31047?\n\"Answer: f + 31041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 4*g + 0*g)*(0 + 2 + 0)*(-53*g**2 + 16*g**2 + 26*g**2) to the form t + n*g**3 + o*g + d*g**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1887460 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*a - 95. Suppose -3*b = 5*d + 83, -5*d - 60 = 5*b + a. Let n = 395\/11 + b. What is the closest to -1\/3 in n, 2\/7, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*n**2 + 1131*n - 563*n - 568*n + 47*n**2.\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -172*j + 9*j**2 + 76*j + 99*j as f*j + x + w*j**2 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -314 - -374. Suppose 3*c = -y + z, 2*c + 80 = 6*c + 3*y. Calculate the remainder when 73 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14191479\/19 >= 746921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -12. Suppose -27 = -30*f + 3*f. Sort f, 4, -4, h.\nAnswer: -4, f, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11*h - 1. Let l(b) = 58*b - 4. Let d(r) = 16*i(r) - 3*l(r). Determine d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.7 and 216?\nAnswer: 2959.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -211.8 + 39.8. Let x = 51 + z. Let h = x - -116. Which is the second smallest value? (a) -4\/7 (b) 0.1 (c) -2\/11 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + r**2 + r + 1. Let n be k(2). Let u = -12 - -7. Suppose 3*w = -3*d + w + 3, 3*w = 0. Sort u, d, n in ascending order.\nAnswer: u, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -5 + 4)*4 + (sqrt(700) + 0 + ((sqrt(700) + sqrt(700) + -3)**2 - sqrt(700)))*6.\nAnswer: -692*sqrt(7) + 16850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**4\/4 + f**3 + f + 20. Let u be z(-2). Suppose -u*k = 2*r - 178, k + 445 = 5*r - k. List the prime factors of r.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 639784999?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -0.08, -0.2, 0.15, 0.3.\nAnswer: -0.2, -0.08, 0.15, 0.3, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(21)\/sqrt(112) + (sqrt(45)\/sqrt(3) - sqrt(15))\/sqrt(5) + ((sqrt(294) - 2*sqrt(294)) + sqrt(294))\/sqrt(2))*-2)**2.\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 806*s - 10 = 804*s. What is the second biggest value in 0, s, -2000?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010001110 + 0?\nAnswer: -1110010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7029 = 12*d + 381. Let t = -548 + d. Solve -3*h + t*z + 5 = 2*z, 0 = 4*h + 2*z + 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 10 = 0, m - h + 6 = -3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - 3. Let m = g - -14. Solve 4 = -m*y + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 719146.7 years to millennia.\nAnswer: 719.1467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 10*d**2 - 12*d - 10. Let k be h(-9). Suppose -12*m + k*m = 45. Solve 0 = 3*y - 3*v - m - 0, 4*v = -5*y + 33 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 9. Let r = 35 + -28. Calculate the least common multiple of (14\/5)\/(2\/10) and k(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87.4+41925093\nAnswer: 41925180.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4*r - 2240 + 2258 = r, -2*m + 16 = -2*r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -37165\/6352 - 84\/397. What is the common denominator of s and 167\/252?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 10*y - 6. Let k be ((-18)\/12)\/((-1)\/(-6)). Let u be f(k). Factor -4*a + 4*a + u*a**3 - 3*a**4.\nAnswer: -3*a**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1080 - -63?\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = f + 8372*q - 8370*q, -q - 10 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -4*u - 3*l + 115, u - 4*l = -15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.5 + 8.5. Let w = -27.92 + k. Let a = 0.06 - 0.56. Sort -0.2, a, w in descending order.\nAnswer: w, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2118 + 0.21176637. What is p rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013303458242 to six dps.\nAnswer: -0.013303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6135.855 milliseconds in seconds?\nAnswer: 6.135855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 337342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-3)*-3 - (3 + 0). Is p <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9086.243ml?\nAnswer: 9.086243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -396*c - 981. Let u(z) = -2*z - 1. Let t(f) = r(f) - 3*u(f). Differentiate t(y) with respect to y.\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -11*z - 58. Let j be a(-7). Calculate the highest common factor of 646 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (97 - 0\/(-5)). Let o = 13 + g. Suppose 6*a = 361 + o. List the prime factors of a.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((280\/448)\/(5160\/96))\/((3\/1)\/(-3)).\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n**5 + 23*n**4 - 6*n**3 - 13*n**2 - 5. Let b(f) = -17*f**5 - 35*f**4 + 9*f**3 + 19*f**2 + 8. Let t(k) = 8*a(k) + 5*b(k). Factor t(m).\nAnswer: 3*m**2*(m - 1)*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3.1. Let p = 0.8 - 0.81. Is h >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*k**2*v - 6*k**2 + 2*k - 48*v**2 - 19 wrt v.\nAnswer: 26*k**2 - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 510.2 and 736?\nAnswer: 375507.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 788, 3464, 7918, 14144, 22136?\n\"Answer: -h**3 + 895*h**2 - 2*h - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (502\/165 - 3) + (-4)\/30?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120020212 + -1?\nAnswer: -120020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2903 in 2\/13, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125137 is divided by 1493.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.3 and 0.2.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 greater than -455\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 0*l - 16787 + l + 16768. Let z = 135 + -126. Determine d(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -247*i - 494. Let l be j(-2). Factor 1\/9*v**2 + 1\/9*v**5 - 1\/9*v**4 + 0 + l*v - 1\/9*v**3.\nAnswer: v**2*(v - 1)**2*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199 is divided by 119.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 11 = 2*g, 0 = 4*g + g + 10. Suppose y*h = -3, -2*h + 0*h - 23 = -3*i. Solve m = -4*p - 11, 3*p + i = -2*m - 0*p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tltbp. What is prob of picking 2 t and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (2 + 1)) + (-32 - -37)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaf when three letters picked without replacement from {f: 1, a: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 97a - 10?\nAnswer: 96a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-13)\/(-2)*3)\/(16\/32). Suppose b*f = 38*f + 2. Solve -2 = -i, 3*x = -f*x + 2*i + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10173, -34056, -73861, -129588?\nAnswer: -201237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*s**3 - 2*s**2 - 4 - 26220*s + 40*s**3 + 26216*s as d*s**3 + u*s**2 + g*s + h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-996)\/(-1660))\/(1*2\/(-20)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19597574 to the nearest integer?\nAnswer: 4427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1371 - 5?\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2038.40013767 - 2038.4. What is y rounded to 6 decimal places?\nAnswer: 0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 4*h**5\/5 - 4*h**2 - 323*h. Let q(y) = -y. Let l(v) = v. Let z(u) = -6*l(u) - 5*q(u). Give z(i(c)).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -222640.47 and -1.6?\nAnswer: 356224.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5910, -11410, -16240, -20394, -23866?\nAnswer: -26650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 106 (b) -17\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -105*y + 107*y - 8, 0 = -3*u + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/4? (a) 2 (b) 52\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 1456?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 12459541?\nAnswer: 112135869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*o**2 - 2251915*o - 19364634.\nAnswer: -8*o - 2251915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 18*j - 29. Let a be o(-15). Suppose 0 = 16*u - 48 - a. Solve -u*g = g - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-78)\/13)\/((-3)\/2). Suppose 2*r = -8, n*g - 2*r + 1 = 417. Suppose -7*m = -4*m - g. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 4 - -1) + 35 + -23 + -116?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 3) in base 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 16*r - 2490 = 0. Let v = -1001\/6 - r. What is the third smallest value in -5, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -74c?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20.1 in -1\/7, -34, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 485530 - 485530. Suppose -3*i + 4*u + 26 = 0, -4*i + 3*u + 33 = -2*u. Let j(a) = 3 - 3*a**i + 3 + a**2 - 4*a**2. Give j(r(h)).\nAnswer: -6*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1269*f**2 - 782?\nAnswer: 2538*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/513 and -113\/2926.\nAnswer: 79002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4459 divided by 9?\nAnswer: -4459\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 417, 623, 829, 1035?\nAnswer: 1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine thirds of a day in minutes?\nAnswer: 28320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0211 + -1.\nAnswer: -0.9789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*t - 3*d, -139 = -3*t + 2*d - 142. Let w = 18 + -26. Put t, -6, w, -5 in descending order.\nAnswer: t, -5, -6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 171 (b) -0.5 (c) 1 (d) 0 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2012220100 (base 3) to base 9\nAnswer: -65810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -30, -41, -54, -69, -86, -105?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 11. Let q be f(14). Suppose 3*k - 258 = -3*o, 8*k - q*k = 3*o + 398. Calculate the remainder when k is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7*r + 936 = 0. Let g = r - -113. Let v(d) = d**3 - 9*d**2 + 4*d + 7. Is v(g) 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 2857684?\nAnswer: 2, 67, 10663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 178 - 178 - 37*q**2 + (-3*q + 4*q + 0*q)*(-10*q - 2*q + q) as p*q**2 + m + k*q and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 5*g**7\/42 + 3*g**3\/2 - 3*g. What is the second derivative of t(d) wrt d?\nAnswer: 100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 + 1292*w\/9 + 208658\/9.\nAnswer: 2*(w + 323)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10669973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 16*k**2 - 9*k - 140. What is i(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - (1 - 2) - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9809744*w**3 + 1266780*w**2 wrt w.\nAnswer: -58858464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 1a44371?\nAnswer: 1a44377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, 3, -20, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {l: 1, v: 1, y: 1, q: 6}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x - 345. Give b(-47).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/7 + 10576*y\/7 + 927860\/7.\nAnswer: -4*(y - 2729)*(y + 85)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 9740 = 4*z, 0 = 60*r - 55*r + 4*z - 24406. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 51 = -4*x, 0 = 2*x + 5*f - 4 - 9. What is the remainder when x is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 59, 3\/5, -3?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292*j**5 - 138*j**4*r - 2*j**2 - 292827*j*r wrt j?\nAnswer: 5840*j**3 - 1656*j**2*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 69, -277524 in ascending order.\nAnswer: -277524, -1, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.2 (c) 2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 46 (b) 2609 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -5 (c) -0.3 (d) 0.10488\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -36*t**2 + 55448427*t - 4620702 = 0.\nAnswer: 1\/12, 1540234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*h + 297 - 283 - 11*h to the form o*h + j and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.29 - -16.31. Let m = l + -14.91. Let h = 1.7 - m. Is h greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from {v: 2, c: 1, i: 1, g: 1, d: 1, l: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5*f - 3 - 6 + 2*f**3 + 4 in the form v + y*f**3 + b*f**2 + o*f and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17912 is divided by 373?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/2471 - 51911\/24710. Calculate the common denominator of r and -59\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 250, 235, 200, 145, 70?\n\"Answer: -10*v**2 + 15*v + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 - 129. Calculate the highest common factor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200817 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1153542322 + 0?\nAnswer: -1153542322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 18 = 2*y, 494*y = -4*l + 496*y - 24 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 405.929 centuries?\nAnswer: 487114.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*x - 4*v + 19, -4*x - 3*v = -16. Sort -5, x, 5 in decreasing order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 + -115. What is the nearest to -0.2 in 1, 16, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438047945 to the power of 1\/3, to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -2*d. Let c = d - -14. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 161\/(-35) + 5 + 23\/(-20). Which is the fourth biggest value? (a) 0 (b) 2 (c) t (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -17*z**3 - 4*z**2 - 13*z + 2. List the prime factors of f(-5).\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1174 (base 10) in base 14?\nAnswer: -5dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f + 2. Let l(p) = 3*p - 3. Let z(r) = -r + 2. Let i(j) = 5*l(j) + 6*z(j). What is 2*i(b) + 3*q(b)?\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 113065423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 15*g - 31. Let t be u(3). Suppose -1701 = -t*y - 315. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g**2 - 338*g + 203. Give j(50).\nAnswer: 803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177723 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 25, g - 98 = -4*l - 5. Suppose 121 - l = p. Calculate the highest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439253115?\nAnswer: 3, 5, 7, 19, 220177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 5*v + 2*v)*(-2*v**3 + v**3 + 3*v**3) - v**4 - 2*v + 2*v - 489*v**4 - 36751 + 36751 + 4*v + 2*v**4 - 4*v.\nAnswer: -486*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -1\/2 (c) 9 (d) 0.5 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94561*b*g**4 + 4*b*g + 330*b + g**5 - 6*g wrt g.\nAnswer: -1134732*b*g**2 + 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106 - -30) + 80 - (-17 - 3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1371 + 1371.2. Let p = -102 + 101.88. Sort t, 2, p in decreasing order.\nAnswer: 2, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a**2 - 4*a + 8. Let j be p(2). Put -10, j, -5, -1 in ascending order.\nAnswer: -10, -5, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35327 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1401897941 to the nearest 1000000.\nAnswer: -1402000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 4:41 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1123.\nAnswer: 2246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37960 = -364*l + 309*l - 687*l + 15464 for l.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 452718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2655 (base 7) to base 14\nAnswer: 52c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4)*(-3*n - 2*n + 3*n) + (-2 - 1 + 2)*(0*n - n - n).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 12625666.858 to the nearest 1000.\nAnswer: 12626000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -36*r + 2. Let x(i) be the second derivative of -i**4\/12 - 7*i**2 + 39*i + 46. What is x(j(w))?\nAnswer: -1296*w**2 + 144*w - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 7*x + 11*x + 0*x + 1658 + 3*x as o + i*x and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191307 and 268965?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = -4*n, 5*n - 10*w - 15 = -5*w. Solve 0 = -2*o + c - 7, 11 = -o + 2*c - n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnncnwinjnnni. What is prob of picking 1 i, 1 c, and 1 n?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 214 or 1484?\nAnswer: 1484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1879 or 1880?\nAnswer: 1879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/15)*b*b)\/b**(-3))\/((b\/(b\/(b\/b**(-2\/5))))\/b)**(5\/3) assuming b is positive.\nAnswer: b**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35573 or -23175?\nAnswer: -23175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from {j: 1, q: 1, o: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 216 + -108. Let q = -535 - -537. What is the smallest common multiple of d and q?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*y, 0 = 48*r - 49*r - 2*y. Let d be 5\/2 + (-2)\/(-4). Solve 2*i - 2*l = -r*i, -d*l - 2 = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -296 (c) -3 (d) 2 (e) 3\/5 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3122 - 655621\/210. Is g < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*f + 4 = 166*f, 5*y = -5*f - 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.833669 and -2?\nAnswer: 4.833669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.5795 + -0.5795. Sort 1\/20, 1, m.\nAnswer: 1\/20, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 6. Let d(t) be the second derivative of -t**5\/20 - 7*t**4\/12 - 4*t**3\/3 - 9*t**2\/2 + 2*t. Let p be d(l). Let r(v) = -2*v + 3. Give r(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -534688*k + 632610 wrt k.\nAnswer: -534688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + d**2 + 2*d. Let i(w) = -15*w**3 + 12*w**2 + 13*w + 1. Let a(t) = i(t) - 6*x(t). Calculate the remainder when a(-2) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16075, -16055, -16043, -16039, -16043, -16055?\nAnswer: -16075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - 67. Suppose 0 = -3*z - 6, 0 = -x*q - z - 4*z - 2902. Calculate the least common multiple of 2 and 6\/(-45) - q\/45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 3.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6387, 3, 1 in decreasing order.\nAnswer: 3, 1, -6387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696890973.\nAnswer: 3, 883, 263077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4750*-2)\/((-1)\/(1 - 1355)). What is o rounded to the nearest one hundred thousand?\nAnswer: -12900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -1\/7*z**2 + 8\/35*z**5 - 1\/3*z**4 - 3\/35*z**6 + 2\/7*z**3 + 0 - 4*z + 2\/147*z**7. Factor l(p).\nAnswer: 2*(p - 1)**4*(2*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3999 and 36644.\nAnswer: -146539356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, e: 2, l: 2, n: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1644 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 - 10. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -423, -494, -601, -732, -875, -1018, -1149?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 300 (b) -3 (c) 11\/4 (d) 36.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 477803 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8 = -4*m, -3*m - 2*n + n + 14 = 0. Suppose -3*s = m, w = 2*w + s + 3. Put -4, 1, 0, w in descending order.\nAnswer: 1, 0, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -15*x**3 + 14*x**2 + 135*x + 224. Let w(k) = -17*k**3 + 15*k**2 + 134*k + 228. Let p(i) = -6*r(i) + 5*w(i). Suppose p(d) = 0. Calculate d.\nAnswer: -3, -2, 34\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 6*w**2 + w - 2*w**2)*(68*w - 10 - 19 - 66*w).\nAnswer: 2*w**3 - 27*w**2 - 29*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8629887 - -0.0311.\nAnswer: 8629887.0311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**1*l))**(2\/51)*((l*l**(-1))\/l)\/l**(2\/15) assuming l is positive.\nAnswer: l**(-299\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + s)*(s - 5*s - 2*s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 2. Let i be t(-2). Suppose 5*q - 2*f - 123 = 0, -4*f - 27 + 31 = 0. Let a = q - i. What is the greatest common divisor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 11:57 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 19. Let q(v) be the second derivative of 0 + h*v**4 - v + 1\/2*v**2 + 0*v**3 + 1\/10*v**5. What is the derivative of q(r) wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57 + -26)\/(-83)*-49?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 39*v + 22. Let j be r(20). What is the highest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4*t - 10496, -6*t - 13106 = -5*r - 4*t. What is the highest common factor of r and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19501653945 + 19501653758.99999782. Let z = v + 186. What is z rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2, 2\/17, 18\/5 in increasing order.\nAnswer: -0.2, 2\/17, 2, 18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73285.63 litres to millilitres.\nAnswer: 73285630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1641 + 1641.3. Which is the closest to 38? (a) 5\/4 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 0.1994.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100268 is divided by 1045?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 39. What is n(6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/3014 and -117\/9220100?\nAnswer: 101421100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 18638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 10, 1\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 1\/12*h**4 - 5\/6*h**3 + 0 - h**2 + 3*h. Determine v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkw when three letters picked without replacement from zwvwkdy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 145*m**2\/2 - 684*m - 1386.\nAnswer: (m - 154)*(m + 3)*(m + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g**2 + 11*g - 1. Let y(r) = 3*r**2 - 4*r. Calculate 3*k(q) + 8*y(q).\nAnswer: -3*q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/12*20\/6. Suppose m*u - 4 = 11. Put u, -5, 1 in ascending order.\nAnswer: -5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(18\/(-8)))\/(44\/66)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -26, -4, 34, 94, 182, 304, 466?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -172 + -1113?\nAnswer: -1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48 and -14950.\nAnswer: -14998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -133297\nAnswer: 1\/133297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-120))\/(231\/(-770))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21683*w - 43364*w + 21683*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00181873 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 913 + -892. Calculate the highest common factor of q and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 635*t**4 + 495*t - 736*t - 1219*t wrt t.\nAnswer: 7620*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -1, -17, -29, -31, -17?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 5 - 9*s + 6*s)*(s**3 - 2*s**3 + 3*s**3).\nAnswer: -2*s**4 + 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s. Let t be -3 + (3 - (5 + 0)). Let z = -6 - -18. Calculate the remainder when g(t) is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/709 and -67\/1418.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z**3 - 11*z**2 + 13. Let o(r) = 4*r**3 + 6*r**2 - 7. Calculate -11*o(j) - 6*p(j).\nAnswer: -2*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmimdgmmigmmimmmmmgg. What is prob of sequence mm?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*a - 19 = -2*k, -4*k + 24 = -5*a. What is the least common multiple of (6*k)\/((-6)\/(-4)) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*m + 1867 - 2417 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43, -35, -15, 23, 85, 177, 305, 475?\n\"Answer: h**3 + h - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2490 - 1?\nAnswer: -2491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-2 - (13 - 23)) + 0\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to 9.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5501.205 rounded to the nearest one hundred?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-20))\/((-1)\/15). Let g(a) = -a**3 + 7*a**2 - 7*a + 5. Let c be g(x). Is c < -2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.287263 to two decimal places.\nAnswer: 9.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 6*w - 2. Let k be a(5). Let l(o) = k + 2 - 4 - 4*o - 317*o**2 + 4. Let p be l(-5). Round p to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157201, 157200, 157199, 157198, 157197?\nAnswer: 157196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 2*k - 7. Let q(u) = -u**2 - 3*u + 9. Give -4*p(v) - 3*q(v).\nAnswer: -5*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 7*x**2 - 10*x - 7. What is the units digit of q(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 12 + 9, -5*s = 263*n - 737 - 87 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 669749821*b - 930189984.\nAnswer: 669749821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*w + 11, -4*w - 3 = -w + 3*h. Suppose 5*b + 100 = w*y + 2*y, -4*y - 3*b + 68 = 0. What is the remainder when 35 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*b + 22*b - 70*b)*(4 + b - 4)*(-2 + 1 + 0).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + 9. Let s be r(7). Let k(i) = 3*i**2 + 7*i - 2. Find the common denominator of k(s) and 45\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 + 13*g**5 - 3*g**3 + (2*g + g - 5*g)*(2*g**4 + 0*g**3 + 0*g**3) - 1 + g**5 + 1.\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -2\/5*r**5 + 0*r**4 + 0*r + r**3 - 2 + 0*r**2. Find the third derivative of f(a) wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.9 + 21.061. Let s = t + -9.161. Is -2 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25450 or -104?\nAnswer: 25450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*g + 39. Let r = g - 16. Suppose -3*v - v - 5*m = 25, 0 = -5*v - r*m - 10. Solve 3 = -d - v, -i = 4*d + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 30850 + 30866 - 2*s + 10*s - s**3 + 8*s**2. Determine u(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 4*p - 13*p)*(-10*p - 384 + 384)*(-3 + 6 - 4).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*5*1 + -2 + 1.\nAnswer: -1 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16840, -33676, -50512, -67348, -84184, -101020?\n\"Answer: -16836*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-5))\/((-114)\/(-22468830)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 11028 = 4*c - 4*a, -3*c - 5*a = 8248. Is c at most as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5360 or 5337?\nAnswer: 5337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 213124309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m - 8*m**2 + 13*m - 23*m)*(2*m**2 - 2*m**2 - 2*m**2).\nAnswer: 16*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, y: 1, a: 3, p: 1, t: 2, v: 3}. Give prob of picking 2 o, 1 t, and 1 p.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 21*a - 9*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 404 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430518387.\nAnswer: 3, 13, 17, 38197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -21 (b) -48 (c) 11 (d) 4 (e) 5 (f) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3147773?\nAnswer: 3147773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**7\/42 - k**6\/6 + 10*k**4\/3 - 40*k**3\/3 + k**2 - 20. Find f such that v(f) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10696, -10587, -10432, -10225, -9960?\nAnswer: -9631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4338, -65 in decreasing order.\nAnswer: 5, -65, -4338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -23. Do n and -14\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.12, 1, -3.\nAnswer: -6.12, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51519 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 11*m - 3. Suppose -9 = -35*x + 376. Give l(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264245071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18703.\nAnswer: 59, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -668.22 - 80.885\nAnswer: -749.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5573948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-688)\/(-32))\/43 + (-46)\/4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10102022 + 3?\nAnswer: -10102016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -3*x**5\/5 + 13*x**4\/12 + 50*x**3\/9 - 4*x**2 + 439. Let l(j) = 0. What is j?\nAnswer: -2, 0, 4\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 - 4*p**3 - p**3 + (-2*p**2 + 3*p**2 - 3*p**2)*(4*p + 2*p - 2*p) + (-p + 4*p - p)*(0*p**2 - p**2 + 3*p**2).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2 - 6*o - 3. Let h = -1164 + 1165. Let a(t) be the first derivative of t**3\/3 - t**2\/2 - t + 1. Give h*z(v) - 4*a(v).\nAnswer: 2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 0*o**4 + 4*o**4 + (2*o - 2*o - 10*o**2)*(2*o**2 + o**2 + 0*o**2 + (-o + 2*o + 0*o)*(0 + 2*o + 0) - o**2 + 0*o**2 + 0*o**2) - o + o - o**4.\nAnswer: -37*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2 + 144*s**2 - 8*s**2 + 61*s**2. Does 36 divide m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 6031.787 litres in millilitres?\nAnswer: 6031787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 + o - 8. Let y be z(5). Let f(t) be the second derivative of t**3\/3 - 3*t**2 + 8*t - 6. Calculate f(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*z + 11 + 11 - 17 - 46*z + (0*z + 3*z - 4*z)*(0 - 1 + 2).\nAnswer: -22*z + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/9 - 136*d**4\/9 + 290*d**3\/3 - 1340*d**2\/9 - 568*d\/9 + 592\/3 = 0 for d.\nAnswer: -74, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 - 6 = 0, 3*q - 34 = 5*a. Solve 4*v + 27 = 5*h - 14, 4*h = -q*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -49, -190, -563, -1282, -2461?\n\"Answer: -19*y**3 - 2*y**2 - 2*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - -2 - -2) - (-1 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 z, and 1 r when four letters picked without replacement from rgfzzfzzzfgz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let t be d(2). Let k(b) = 6*b - 6. Let r be k(6). Let h = r - 27. What is the closest to t in 1\/2, 2\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1) + 1\/(-3). Let w = -84 + 80.1. Let d = -0.1 + w. Is o equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u - 22. What is g(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108508*-0.1.\nAnswer: -10850.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i + 0*i - 2*i + 2)*(5 - 3 + 1)*(-599 + 119*i + 599) to the form d*i + t*i**2 + k and give t.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 5*n**2 - 2*n + 3. Let v be q(5). Let o be v\/21*3*-3. Let p(u) = u**3 - 11*u**2 - 25*u - 9. Let k be p(13). Sort -1, o, k in increasing order.\nAnswer: -1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*m + 12, 288*a + 11 = 292*a + m. Put -0.4, 31, 1\/3, a, -0.2 in ascending order.\nAnswer: -0.4, -0.2, 1\/3, a, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = -17*f + 3, 2*f + 8 = -2*p. Which is greater: p or 1\/4490?\nAnswer: 1\/4490","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*j - 28. Solve 0 = s + 1, -3*w - s - j*s = -4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3327787 - 3322067 = -143*p for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*z**3 - 5*z**4 + 10*z**3 + (-6 - 10 - 1)*(3*z**4 - 3*z**4 - 2*z**4).\nAnswer: 29*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11254 - -2?\nAnswer: -11252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/((-4 + -2)\/6). Suppose -8 - 12 = -2*v. Let g(c) = -c**2 + 12*c - 12. Let s be g(v). Calculate the greatest common divisor of b and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(-194 - 26*t**2 + 194) + 522 - 133*t**2 - 522 to the form g*t + f + d*t**2 and give d.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(363) + 2 + 5 + (sqrt(363) - (1 + sqrt(363) - sqrt(363)))))**2*-6.\nAnswer: -1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2 + 17. Suppose -46 = -5*x + 174. Suppose -o*n + x = -67. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 5*k + 14. Let l be h(3). Suppose l = p + 2*a, 8*p - 4*p = -5*a + 20. Are p and 3\/76 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -386*c + 391*c + 68, -58 = 4*c + 5*w. Let a(i) = -i**2 + 21*i + 395. Give a(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4885 or 4845?\nAnswer: 4845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10420*m + 1701 = 10483*m for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 12) in base 13?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 - 2*k**2 - 4*k**2 + 3*k + 5*k. List the prime factors of f(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 + -13 - (-12)\/(6 + -4). Suppose -2*a + b*r = -47, 5*a - 3*r = 3 + 67. Let z(w) = -w - 4. Determine z(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 99 = -3*c - 354, -10 = -2*s. Let b = c + 85. What are the prime factors of (b - 12)\/((-1)\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 0 + -1 + -1. Let c = -3.7 - -0.7. Let s = 38.9 - 39.2. What is the smallest value in q, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2458 + -2454)\/(-26 + (-1 - -1)) + (-120)\/(-1118)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -184 less than -1286\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1262036 and 1166.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n**2. Suppose -64*g + 2 = -63*g. Let p(t) = -2 + 2 + 156*t**2 - 173*t**g. Determine p(j(q)).\nAnswer: -1700*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(6\/12)*19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*l - 95 = 127*l. Suppose l*t - 4*s - 44 = 0, 5*t - 3*t - 16 = 2*s. What is the smallest common multiple of 30 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42118\/9 - -4681. Find the common denominator of h and 13\/2144.\nAnswer: 19296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98.2 + 98.25. Is a >= -0.92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 7:34 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-10)*(3 - -1). Suppose -p + 5 = -0*p. Calculate the highest common divisor of p and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*l**2 + 9*l**2 - 3*l**2 + (0*l - 3*l - l)*(l + 7*l + 0*l).\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (195\/(-130))\/((-1)\/(-4)*27).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 22 = 3*b, 3*b + b - 5*k - 12 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 4*l**2 + 8*l + 12. Let d be j(-5). Let g be -5*(76\/(-20) - d). Suppose -o - 3*o + 3*y + 119 = 0, 5*o - 150 = g*y. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.38 - -2.52. Let c = 0.6 - t. Let x = -2.299945 - c. What is x rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = a + 4, 3*a = -a - 2*s - 14. Let k be (-2)\/(-4)*(-12)\/a. Let d(p) = p**k - 3*p**2 + 3*p**2. Let o(b) = -b. What is d(o(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 211\/7 in -0.4, -5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**5\/90 - f**4\/27 - f**3\/27 + f. Factor i(o).\nAnswer: -2*o*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2590920.\nAnswer: 2, 3, 5, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1)\/(1\/9). Suppose 69*l = 50*l + 19. Suppose 4*t + 3*h = -i, -2 = 4*t + h + l. Solve 5*u = -t*u + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1929854?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 4 = 10. Solve 2*f - f - t = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6868170 or 6868174?\nAnswer: 6868174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -3 (b) -1 (c) 0.1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -6, 0.1, 8\/111?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 21\/(-75) - 36\/180.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4698 + 15911. Is 55 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*b - 3. Suppose 36 = 3*x + 2*s, -4*x + 26 = -b*s - 39. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1366*v - 18073 = 783*v for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*h + 44, -5 = -h + 2*h. Suppose -o = -4*d + 19. Is d 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 12163, 25019, 37875, 50731, 63587?\n\"Answer: 12856*s - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7057 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63 in 0.016337, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 2*l**2 - 4*l + 5. Let v be t(-3). Suppose -v*p - 33 = -9*p. What is the remainder when p is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5462091287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7659284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-7)*f\/(f\/(f*(f**(2\/3)\/f)\/f)))**(1\/41)\/((f**(-3\/4)*f*f)\/f*f**6*f*(f\/(f\/(f\/(f\/(f**1\/f)))))\/(f*f**(-1\/7)\/f)) assuming f is positive.\nAnswer: f**(-25993\/3444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 12*s + 7*s + 0 - 22*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 4:20 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -29.\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 551 - 506. Solve -i - 4*u = 4*i + q, 5*i + 5 = 4*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -q - 25, 4*d - 17 - 27 = -4*q. Let i = -778 + 786. What is the least common multiple of i and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 9 - 9) + 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12254 times -143\nAnswer: 1752322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84188 and 21053476?\nAnswer: 6476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*x - 130*x - 86 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00059995925 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 963 + 351. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3*h + 66, 10*s - 5*s = -4*h + 108. Suppose -s*d - d = -2436. Calculate the smallest common multiple of 20 and d.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = -4*p - 157, -5*s + 21*p - 39*p - 113 = -16*p for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -14502127\nAnswer: -72510635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 5475*y + 81913. Determine l(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -44 times 50\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5210995402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 256221848*l**3*q**3 + 76*l**3*q**2 - 6*l**2*q**2 + 9*l**2 + 141*q wrt q.\nAnswer: 1537331088*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {h: 6, a: 1, p: 3, q: 7}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6839 + -6833. Solve 22*q + 16 = s*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**6\/60 + 3*p**5\/50 + 3*p**4\/40 + p**3\/30 + 3. Determine l, given that x(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 12*t - 18*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 135696 divided by -2\nAnswer: -67848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -4) + (6 - 12) + 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, j: 4, i: 9}. Give prob of picking 2 i.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/7))**(30\/13)*(j*j\/((j**(2\/3)*j)\/j))**(2\/17)*j**(4\/5)\/((j\/((j*(j*j\/(j**(-5)\/j)*j)\/j)\/j))\/j)*(j**1*j)\/(j**(-5)*j) assuming j is positive.\nAnswer: j**(415924\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 3*o**2 + 129*o - 205. What are the prime factors of q(25)?\nAnswer: 2, 3, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9540, -9483, -9390, -9261?\n\"Answer: 18*z**2 + 3*z - 9561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 + -99.576. Let l = u + 0.076. Put 1\/6, 0.05, l, -2 in increasing order.\nAnswer: -2, l, 0.05, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21044 (base 5) to base 9.\nAnswer: -1824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/7080 and -111\/40.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -840*v + 319*v + 525*v. Let o(u) = -2417*u**2. Give o(r(b)).\nAnswer: -38672*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -6144?\nAnswer: 1\/3072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 493\/63 + -82\/7. Let f(n) = -27*n - 18. Let v be f(-12). What is the common denominator of t and (-11)\/(-55) - v\/(-70)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -771*l - 18151 = 10127 + 3333 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2834200?\nAnswer: 2, 5, 37, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/10 and 95\/578629296.\nAnswer: 2893146480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x - 3. Let j(d) = 12*d - 7. Let c(s) = -5*a(s) + 3*j(s). Give c(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -30. Let h(n) = -n**3 + 9*n**2 + 11*n - 5. Calculate the remainder when 8 is divided by h(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -59*l - 2. Let m(p) = -58*p - 3. Let i(d) = 4*m(d) - 3*u(d). Let x be (-42)\/28*8*(-3)\/(-18). List the prime factors of i(x).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/1 - (1819\/(-434) + 3). Let y = 3\/62 - d. Factor -y*z**3 + 2\/7*z**2 - 4\/7 + 6\/7*z + 2\/7*z**4.\nAnswer: 2*(z - 2)*(z - 1)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*((210\/(-8))\/15)\/1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - -3 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/131 - 659\/262. Let b = -85 - -85.2. Let l be 3 + ((-12)\/2)\/3. What is the second biggest value in b, t, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 99*t**2 - 47*t + 102. What is the remainder when 3235 is divided by o(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*l + 2*l. Find the common denominator of 2\/l + (-537)\/63 and 9\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 23164?\nAnswer: 138984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**4 - 6*z**4 + 4*z**4 + (3*z**3 - 2*z**3 - 3*z**3)*(2 + 2 + z + 0) to the form p*z**3 + b*z**2 + d*z + h + s*z**4 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 20*c**2 + 37*c - 33. Let u be 315\/(-175)*5*(-4 + 2). Let z be f(u). Sort z, -4, -3 in increasing order.\nAnswer: z, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 2.49?\nAnswer: 0.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**4\/2 - 56*r**3\/3 + 221*r**2 - 676*r + 201. Find v, given that i(v) = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 4*p + 0*p)*(1 - 2 - 2 + 3 - 1 - 3 + (-1 + 3 - 1)*(-1 - 5 + 4) - 3 + 5 + 0 + 1 - 1 - 2).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 13*r + 300. Let b = 98 - r. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/144 and 25\/6?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 39, 262, -1\/4 in ascending order.\nAnswer: -1\/4, 1, 39, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a + 2*a**2 - 9 + a**2 - a**2. Let z(k) = 2*k**2 + 3*k - 8. Let p(j) = -3*j**2 - 5*j + 12. Let y(g) = -5*p(g) - 7*z(g). Calculate 4*s(t) - 9*y(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4074 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvtv when four letters picked without replacement from vtvvtvtttt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -33, -4, 0, -2.\nAnswer: -33, -4, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*f + 48 + 433 = 0, -5*p = -2*f - 610. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 1. Let z(n) = -3*n**3 - n + 4. Let j(d) = 4*k(d) - z(d). Factor j(a).\nAnswer: 3*a*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 10, -4*p - 19*k + 5 = -12*k - 4*k + 24 - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*m + 109513 = 9*m. Calculate the remainder when m is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 501 and 30432.\nAnswer: 5082144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -7638?\nAnswer: 763d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 9*y**2 + 9*y + 4. Let n be m(8). Let q = n + -96. Suppose -3*x + 0*x - 4*r + q = 0, -4*r - 12 = -4*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.3, 85, -7, 0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**3 - 4*n**2 - 6*n. Let j = -26 + 39. Let w(f) = 9*f**3 + 28*f**2 - 13*f**2 - 24*f**2 - 13*f. Give j*t(q) - 6*w(q).\nAnswer: -2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:01 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 5:57 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 1245*d**2 + 4408*d + 713182. Determine r(618).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3673 + -3673. Solve 3*m - 175 + 160 = q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 626738\/1419 + -13\/1419. Let a = -438 + t. Factor 4\/3*v**3 + 5\/3*v + 2\/3 - a*v**2.\nAnswer: (v - 2)*(v - 1)*(4*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 121782?\nAnswer: 1\/60891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -55.61\nAnswer: -333.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 19*w**2 - 437*w + 1963. Give y(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 11:25 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -155 - -4?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o. Let j = 8 - 3. Let i(f) = -7*f. Let u(p) = 21*p. Let y(n) = -7*i(n) - 2*u(n). Give j*g(a) - 4*y(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 463292 and 412.\nAnswer: 47719076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 45. Suppose -4*u + 15 = -5*u + 5*g, 4*u = -2*g + 28. Let p be (8\/u)\/((-3)\/(-120)). Calculate the greatest common divisor of p and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*-16 + -4 + 1. Solve 0*j - a = -j - 3*h, 5*j - 25 = 4*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12893952 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34034524 (base 6) in base 16?\nAnswer: fbcd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 4869*a**2 - 38733*a - 43605.\nAnswer: -3*(a - 1615)*(a - 9)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*t = -4, -5*i + t - 13 + 33 = 0. Let b(v) = -v**3 + 32. Let k be b(0). What is the greatest common factor of k and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h + 62*h - 3560 = -156*h for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*b + 13. Let k(z) = -z**3 + 54*z**2 - 106*z + 107. Let g be k(52). What is the derivative of 6 - 3*y**b - 4*y**3 - 21*y**g + y**3 wrt y?\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165994?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.8649 to 1 decimal place.\nAnswer: -12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253028 and 4420?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6672462263 take away 0.06885?\nAnswer: -6672462263.06885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*i - 4*f - 24, -3*f = 20*i + 249. Let h = -566\/7 - -81. What is the fourth smallest value in h, i, -0.1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 7:08 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34539 and 75827.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210 + 1020?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*i + 6. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170020000 rounded to the nearest one million?\nAnswer: 170000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -i - 2 + 8, 0 = 4*i - 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2028*o + 49. Is c(2) 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 286856 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.9 - 40. Sort -2\/53, z, 2\/13 in increasing order.\nAnswer: z, -2\/53, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -202645603\/30 + 6790276. Let j = 35426 - i. Calculate the common denominator of 12\/55 and j.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6418279, 6418272, 6418259, 6418240, 6418215?\nAnswer: 6418184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 709 - 704. Put -1, o, 2\/5, 4\/5 in descending order.\nAnswer: o, 4\/5, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43854037 to the power of 1\/2, to the nearest integer?\nAnswer: 6622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000293 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -10, 2 in decreasing order.\nAnswer: 2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 4132.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285 + 531. Let d be ((-84)\/26 - 4)*-34. Let v = d - h. Sort 2, 0.4, v in descending order.\nAnswer: 2, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.354 and -20?\nAnswer: 227.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1418832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 9*p + 4. Let v be z(-9). Calculate the greatest common divisor of v and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 36*y**2 - 33*y + 112. What is m(-35)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 14*x**3 + 7. Let j(v) = -15*v**3 - 10. Give -4*d(l) - 3*j(l).\nAnswer: -11*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*b**2 - 60\/7*b - 58\/7.\nAnswer: -2*(b + 1)*(b + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9131 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 2*q - 2. What is s(-3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13141 - 213001?\nAnswer: -144310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5 - (42 - 20)) + 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56\/5*(-1)\/2. Suppose 0 = -61*b - 359 + 54. Which is bigger: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-9)*(182 - (-154320)\/(-840))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 4. Let j be m(8). Let f be (6 - 1)*(-24)\/j. Suppose 0 = -4*g + 3*g + f*b + 16, 89 = 5*g - b. Solve 3*p - 7 = s + 3, g = -4*s + p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*z**4 + 53*z**3 - 53*z**3)*(1 - 5 + 2).\nAnswer: -84*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*u - 9*u + 8 + 32*u - 2*u + 3*u + 0*u + (-2 + 3 + 0)*(u + 0*u + u) in the form b + o*u and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 5*r - 644. Suppose 0 = -3*h + 86 - r. Let t = 282 + h. Does 26 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-6))\/((-2)\/(-20)). Let u = p + 55. Calculate the highest common factor of 100 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215202 (base 8) to base 2\nAnswer: -10001101010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 2*g**3 + 2*g**5 + (-g**3 + g**3 + 5*g**3)*(29*g**2 + 38*g**2 - 22*g**2).\nAnswer: 227*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 36552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1370 + 554 = 5*s, -2*s + 765 = 3*z. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 43) + (-37 - (-24 + -37))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 2, h: 10}. What is prob of picking 1 q, 2 h, and 1 n?\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 101066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -12. What is the third derivative of -22*p**2 - l*p**6 + 0*p**6 + 26*p**2 wrt p?\nAnswer: -1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 931 - 211 = 21*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676453 is divided by 493.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.007 - 1.09. Let x = a + 1.03. Round x to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1443 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 918 divided by -102.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 700*z**3 - 359*z**3 - 349*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/4*4\/5. Suppose 2*g = l*g. Suppose g = 2*y - y - 2. Solve -5*t = -2*m - 4*t, y*t = 2*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o - 15*o - 4. Solve 2*t - 5*i + 0*i = 16, -o*i = -3*t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 16389?\nAnswer: 5\/16389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.50868 + 0.709. Let w = 0.28 - 0.08. Let i = s - w. What is i rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:51 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*w + 276*w + 19632 = -291*w for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1575\/23100*224\/126\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/4 + 31533*d - 2717385.\nAnswer: 3*(d - 86)*(d + 42130)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 4*i + i + (1 - 5 + 5)*(-i - i + i) + 0*i - i + 3*i + (0 - 1 + 0)*(4*i - 3*i - 3*i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -75*v**5\/2 + 382*v**2 - 414*v. What is the derivative of t(d) wrt d?\nAnswer: -2250*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12141212039\/27090 + -2240903\/5. Find the common denominator of c and -29\/20.\nAnswer: 54180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 6:06 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/63? (a) -2\/11 (b) -202\/9 (c) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yydjjjdwdjdjjy. What is prob of sequence yydj?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 7 = -3*v, 12 = 3*v + 2*j - 7. Solve 5*d + 10 = -z, 2*d = v*z - 7 + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 448 = 16*y + 20*y, 7734 = 3*v + 5*y + 7668 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-12)*f*f)\/(f*f**1\/f) assuming f is positive.\nAnswer: f**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.2*0.14.\nAnswer: -1.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172584 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4911*m**3 - 2*m**2 - 2. Let s(y) = -24554*y**3 - 11*y**2 - 11. Give 11*r(q) - 2*s(q).\nAnswer: -4913*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -359\/170 or 16.4?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -443933735, -887867469, -1331801203, -1775734937, -2219668671, -2663602405?\n\"Answer: -443933734*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + m**2 - 3*m**2. Let d(r) be the third derivative of 0 + 0*r + 2*r**2 + 0*r**3 + 1\/24*r**4. Give w(d(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*d = 62, -4*d + 2*d = 3*s - 242. Suppose s = 6*k - 0*k. Suppose -4*i - 49 = -3*n, -3*i + 40 - k = 2*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -9216*i**4 - 195766656*i**3 - 986757892*i**2 - 40860008*i - 424740 = 0?\nAnswer: -21237, -5, -1\/48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119\/34*(-4824)\/(-938).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = o + 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(132))\/(sqrt(768) - sqrt(768)*-1))**2.\nAnswer: 275\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1594*r + 1613*r = 209 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12048 + -12049. Is 2\/2043 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 11073532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9717, 1233, -0.4?\nAnswer: 1233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171196, 342391, 513586, 684781?\nAnswer: 855976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*d - 644, 0 = -d + 3*c + 54 + 113. Is 29 a factor of 2 - 1*(-2*d + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5271, -5278, -5285, -5292, -5299, -5306?\n\"Answer: -7*i - 5264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen tenths of a decade?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 167918631 to the power of 1\/2, to the nearest integer?\nAnswer: 12958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/(-42)*(-27)\/(-24) - -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-408)\/(-54))\/(-4))\/((-5)\/(495\/(-11))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -1\/1184, 0.4, 0.05 in increasing order.\nAnswer: -1\/4, -1\/1184, 0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.7001 and 0.09963?\nAnswer: 0.79973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -391, -786, -1181, -1576?\n\"Answer: -395*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25867132 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 4*j**2 - 3*j + 2. Let c be (6\/5)\/((-16)\/40). Let h be p(c). Solve -4*l + h*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561492572 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 338962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2633*m**3*r**3 - 6*m**3*r + 25*r**2 + 3 wrt r?\nAnswer: 15798*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-556)\/10703)\/((-4)\/14). Let -y*z**2 + 28\/11 + 26\/11*z = 0. What is z?\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 1, a: 1}. Give prob of picking 1 c and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 - (-4068)\/84) + (6 - 1765\/280).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -12*s**2 - 351*s + 31. Determine b(-30).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -0.01, 1\/3, -1\/4.\nAnswer: -50, -1\/4, -0.01, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 115798312 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 h, and 1 k when three letters picked without replacement from tekejjjekeljhlklkl?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -10*w**2 + 45*w + 45. Let u(t) = t**2 - 4*t - 4. What is -4*m(h) - 45*u(h)?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 3 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 245\/1398 - 2\/233. Let d(q) be the second derivative of 0 + w*q**3 + 2*q - q**2. Find the first derivative of d(h) wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*((-1*sqrt(200))\/sqrt(10) - sqrt(220)\/sqrt(99))\/((sqrt(100) + (sqrt(100) - (sqrt(100) - 2*sqrt(100))))*3 - sqrt(100)))**2.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 140, -0.03, 3, 0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*g = 7*l + 37, -l + 2*g + 6 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*3\/(-6)*1. Suppose c*q + 80 = 2*q. Suppose -8*n = -3*n - q. Calculate the highest common divisor of n and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198) + sqrt(198)*1*5)\/(sqrt(11) + (sqrt(99) + sqrt(99)*1 - sqrt(99)) + sqrt(99)).\nAnswer: 18*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1052 and 20.\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 30711*o - 30305. What is y(1)?\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5783, -9164, -12545, -15926, -19307?\n\"Answer: -3381*d - 2402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/185101 and -45\/62.\nAnswer: 370202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -38*a - 0*m + 4*m - 100 + 55, -2*a + 7*m + 1 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10976*t - 11121*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1320, 2636, 3950, 5262?\nAnswer: 6572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11377 is divided by 11326?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 10, -4, 4, -1, 5146 in decreasing order.\nAnswer: 5146, 31, 10, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v - 31. Let i(n) be the first derivative of 2*n**3\/3 - 509. What is i(t(w))?\nAnswer: 32*w**2 - 496*w + 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 70 = 3*l + 4*j, 3*j = -3*l - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 11 - 4. Solve h + i = 0, -5*h = 2*l - 2 + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 17*v**3 - 5*v**2 + v - 5. Let f(i) = i**3 - i**2 + i - 1. Let p(a) = -f(a) + r(a). Find the third derivative of p(z) wrt z.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - p + 1. Let c(f) = 11 + 3*f**3 + 2*f**2 + 2*f**3 - 12 + f**2 + f - 2*f**2. Determine c(j) + t(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0314 + -0.1686. Sort 4, 0, t, -85.\nAnswer: -85, t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*q = -2*k - 205*q - 6, -10 = 2*k + 4*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4482352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/((-25)\/(-125))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*196\/294*45\/2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f + 2*f + 3 - 4*f. Suppose 0 = -2*q + 3*m + 5, 3*m - 2*m - 25 = -2*q. List the prime factors of t(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -572, -1455, -2338, -3221?\n\"Answer: -883*u + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378917?\nAnswer: 7, 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29103763085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -776.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11\/60 + -1\/15. Is w bigger than -195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**6\/120 - l**4\/24 - l**3\/6 + 6*l**2. Let v(i) = -i - 7. Let h be v(-6). Give z(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 3*i**7\/7 - 5*i**4\/4 + 16*i**3\/3 - 62. Find the third derivative of c(o) wrt o.\nAnswer: 360*o**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9745, -19487, -29229, -38971, -48713?\n\"Answer: -9742*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.19, -18, -0.11 in increasing order.\nAnswer: -18, -0.11, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**2 - 1\/27*b**3 - 1\/30*b**5 + 0 + 1\/18*b**4 + 0*b. Solve w(i) = 0 for i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(-4)\/f)*f)*f**(-10)\/f*f)\/((f**(-3\/5)\/f)\/f)**(-1\/36) assuming f is positive.\nAnswer: f**(-2893\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 5*b + 2. Suppose 2 = -4*z + h - 9, -4*z + 5*h + 9 = 0. Calculate the smallest common multiple of 78 and f(z).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1 + 4 - 6 - 2. Let c(z) = z**3 - z**2 + 5. Let t(q) = 3*c(q) + 5*m(q). What is the third derivative of t(s) wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205 - 329 = -53*y + 353 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/12*2\/4. Suppose -7*g = -2*g. Is g < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/13, 3, 141, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 - (-6 + (-102)\/(-16))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1740 and 116?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72600 and 144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, m: 1, s: 1, c: 1, b: 1}. Give prob of sequence smbc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77299 + 67516 = 4262*a - 14630*a + 529353 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a + 2. Let x(v) = -v - 3. Let f be x(-7). Suppose 0 = 9*o - 6*o + 6. Let b be o*1\/2*-11. Let z(l) = 14*l - 6. Calculate b*s(i) + f*z(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8\/(y\/((y\/y**(-6))\/y))*(y\/((y\/(y*y**(1\/3)\/y))\/y))\/(y*y**2))**(-22) assuming y is positive.\nAnswer: y**(-748\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113133300 + 1312?\nAnswer: 113201212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -8402 and -8402 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160148 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j + 31*j = 64*j - u - 19, 14*j + u - 22 = 5*u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1505a0 (base 12) to base 3.\nAnswer: -122221201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1705, 0, 34379.\nAnswer: 0, 2\/1705, 34379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 19*q**8\/112 - 13*q**6\/40 - q**4\/24 + 22*q**3\/3 - 2*q**2 - 24*q - 29. What is the second derivative of s(h) wrt h?\nAnswer: 1140*h**3 - 234*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 186 - 188. Which is the closest to 43? (a) r (b) -1 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1897 is divided by 238?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 1\/42*x**7 + 0*x**3 + 0*x**6 + 0*x + 0 - 11\/60*x**5 + 0*x**4 + x**2. Find the third derivative of f(k) wrt k.\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 6 - ((-12 - -42) + 2 - 45).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*f - 225 = 213 + 360 + 214 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2713 + 18958\/7. What is the common denominator of -2*(12\/78 - 1836\/104) and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1156*p + 1219*p - 7254513. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -25. Solve 0 = -5*f + 2*p - i, 3*f - p + 12 = -3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 7321372?\nAnswer: 1\/1830343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-120)*-9)\/(8\/((-160)\/3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 814, 1341, 1888, 2461, 3066?\nAnswer: 3709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a. Let f(u) = -7*u - 2. Let o(p) = -6*f(p) - 10*r(p). Give o(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 10*m**2 + 2730*m - 18283. Calculate y(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + w - w + 5*w in the form b + o*w and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 1, -5, -3, 5515.\nAnswer: -63, -5, -3, 1, 5515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1757 + 1833. What is the remainder when 408 is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2. Let r(a) = 4*a**2. Let j(d) = 2*h(d) + r(d). Let f(z) = -9*z**2. What is f(j(k))?\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h - 2*h - h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i + 3. Let a = -47 - 21. Let s = a - -65. Let c(q) = 4*q - 1. What is s*d(f) - 5*c(f)?\nAnswer: f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 48069355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2642244 from -4.\nAnswer: 2642240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750 divided by -75.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -105298\nAnswer: -526490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 1 + (2 - 2). Suppose 2*p + 2946 = -3*a + v*a, a = 4*p + 1479. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4714\/5*q - 628\/5 - 6*q**2.\nAnswer: -2*(q - 157)*(15*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.8. Let g(u) = u**2 - 7*u + 5. Let v be g(7). Let t = 4 - v. Which is the smallest value? (a) l (b) 2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2\/15 (b) -0.5 (c) 0.22 (d) 0.1 (e) 2086 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnq when three letters picked without replacement from fqqnqkkqfkiiqfqk?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/188703801 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6. Suppose d = -0*p + 3*p. Find the third derivative of -3*q**5 - q**2 - q**2 + 0*q**2 + p*q**5 wrt q.\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**2 - 12*g - 7. Let w be n(-11). Suppose w*k = 6*k + 16. Solve k = 2*f - l, 11 = 3*f - 5*l + l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7. Let f(d) = -4. Let l(t) = 5*f(t) + 3*n(t). Let j(c) = c**2 - 3 + 5 - 4. Give -j(q) - l(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54051708 divided by 18017236.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 9037.817464234.\nAnswer: 9036.817464234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2428*f - 82087. Determine u(-34).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*b = 105, 22 = -o - 5*b - 87. Let n = 200 + o. Calculate the remainder when n is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -17. Is 1*15 + -1 + i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -179 - -180.79. Let l = u - 3.48. What is l rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7337 + 7450. What is the remainder when 284 is divided by j?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 14325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5972569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 574147070 to the power of 1\/2, to the nearest integer?\nAnswer: 23961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**2 - 9. Let f(p) = -2*p**2 - 13. Give f(v(w)).\nAnswer: -8*w**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.313 - -139.313. Let x = s + -138.9583. Round x to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -15*q + 14*q. Suppose 0 = 5*s + 2*g - 25, -q*s - 4*g = -6*s - 17. Let t be (-6)\/14*4\/6. Which is the nearest to t? (a) s (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -185 + 191 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 4*z**2 + 58*z + 107. What is o(-7)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*d**4 + 7*d**4 + 7 - 23 + 2 wrt d.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2. Let j(u) = -113*u + 208. Determine j(i(y)).\nAnswer: 113*y**2 + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12)\/o*o*(o*o**11)\/o)\/(o**(-2\/5)*o*o)**33 assuming o is positive.\nAnswer: o**(-269\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = o - 8, 0 = -4*o - 3*i + i - 4. Solve o*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**7 - u**6\/6 - 29*u**3\/3 + 53. Find the third derivative of z(a) wrt a.\nAnswer: 840*a**3 - 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyttyggggttgtgttyyg?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2. Let t(x) = 1 + 3 + 25*x + 1 - 12. Let v(y) = 9*y - 2. Let l(a) = -4*t(a) + 14*v(a). What is d(l(w))?\nAnswer: -676*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/2 - 31509267*p - 330944635625763\/2.\nAnswer: -3*(p + 10503089)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4088387 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -2) + 24 - 1. Suppose 0*x + o = 5*x. Let i be 2\/(-12)*(-6)\/4. What is the smallest value in x, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44*971574\nAnswer: 42749256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3259338 and 2.\nAnswer: 3259338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -186, -93 in decreasing order.\nAnswer: 91, -93, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/84)\/(5\/(-7)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + -0.7. Suppose -25 = -29*d + 34*d. What is the third biggest value in 3, y, 2, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1350 - 594. What is the greatest common divisor of k and 1197?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1398 - -7263. What is the thousands digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10338 (b) 0.4 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643947777?\nAnswer: 37, 5309, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 48*h + 363. Calculate the remainder when 359 is divided by n(-7).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 70628*x**2 - 706377*x + 18. Give i(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*w**6 - 110*w**3 - 23*w**2 + 213 wrt w.\nAnswer: 12240*w**3 - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/4347 and 92\/16395?\nAnswer: 23756355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*w + 91*w - 125496 = 65*w. What is the remainder when w is divided by 331?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**7\/2520 - a**6\/180 + a**5\/24 - a**4\/6 + 2*a. Let k(w) be the third derivative of i(w). Give k(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 20*a**2 + 8*a - 36. Let z(l) = -20*l**2 - 9*l + 34. Let w(y) = 6*b(y) + 5*z(y). What are the prime factors of w(8)?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123084569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, -358, -1544, -3214, -5374, -8030, -11188, -14854?\nAnswer: -19034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, o: 3, m: 4}. Give prob of sequence mmzm.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/2320 and -37\/480.\nAnswer: 13920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + l - 23 = 0, -3*j - 22 = 4*l + 21. Let i be 4\/j*-3*3. Which is the closest to 2\/3? (a) -3 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/141 and 11\/2067.\nAnswer: 97149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20)\/80 + (-85)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 2*h + 33*h + 333. Let j(d) = -3*d**3 - d**2 + d + 5. Let q(c) = -2*c**3 - c**2 + c + 6. Give h*q(w) + 6*j(w).\nAnswer: -8*w**3 - w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6580 and 129485.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 4*v + 63. Suppose -v*h + 7990 = h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 10*t**3 + 3*t - 7. Let h(y) = -5 + 2*y + 0*y + 8*y**3 + 0 - y**3. Determine 7*h(x) - 5*n(x).\nAnswer: -x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**2 - 17*w + 5. Let t(y) = -12*y**3 - 135*y**2 - 36*y - 37. Let g be t(-11). Determine d(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a factor of 30954961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 13. Let a = d + 2.8. Let i = a - 0.8. What is the third biggest value in 0.2, i, -3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18\/7 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 16*s**2 + 29*s - 13. Let m be n(14). Solve 4*l - 7 = -k, k = 2*l - 4 - m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14035*y**2 + 42127*y**2 - 14022*y**2 - 14033*y**2.\nAnswer: 37*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 240?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:01 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9773*l*z**3 + 70142*l + 7*z**2 - 7 wrt z.\nAnswer: 29319*l*z**2 + 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3783*u = 3774*u + 90 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 2011122120?\nAnswer: 2011122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2780*w - 48 = 2788*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*((-12)\/21)\/(45\/63).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*o + 133 = 1563 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k = -60*k + 2730. Calculate the remainder when k is divided by (-1)\/(-3) - 204\/(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -2 + (-33 - (-74 + 59))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3960218 rounded to 2 dps?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*i + 13, 0 = -h - 5*i - 11 - 14. Let y be (-3 + 2 + 0)*h. Let a be -4*(5\/4 + -2). Sort y, -4, a in ascending order.\nAnswer: -4, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w - 923. Let n(m) = -2*m**2. Determine n(b(z)).\nAnswer: -50*z**2 - 18460*z - 1703858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -498 - -538. Suppose 5*x - 220 = 80. Calculate the highest common divisor of x and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 1, v: 1, o: 1, s: 1}. What is prob of sequence sx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/491724572 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 306477 + 306477.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.3 + 107.6. Let k = -102 + u. Which is the third smallest value? (a) k (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 5*r**2 + 2*r - 3. Let x = 1 + 4. What are the prime factors of u(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -1\/2*u**2 - 25\/3*u**3 + 4 + 61*u. What is the derivative of g(z) wrt z?\nAnswer: -50*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/890838 and -59\/18.\nAnswer: 890838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/92, 4\/3, 26\/1981?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-10)\/(-104) + 12\/78\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*q = 170*q + 212 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 10:36 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10647348 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*b + 2478 = -2096 - 1527 - 4449 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -1\/4, -0.2.\nAnswer: -1\/4, -0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 + -81. Calculate the remainder when 52 is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -2*u. Let i = 4 - u. Solve -i = -4*d + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s - 3*s - 21 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.493 - 0.007. What is the second biggest value in -2, y, 15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*n + l + 4, 3*n + 5 = -5*l. Suppose 0 = -s - 2*x + 13, 5*s - 5*x + n - 10 = 0. Solve s*f = -5*v + 20, 11 = 2*f + v + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 113.\nAnswer: 5\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + 14*c**2 + 0*c**3 - 194 + 196 + 2*c**3 as b*c + r + u*c**2 + j*c**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5805234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 1368611 + 50901 - 207852 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 709285052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.14, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1017, 2608, 6233, 9858, 13483?\n\"Answer: 3625*j - 4642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -125*v**2 - 11*v - 80. Let a be z(20). Round a to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 385\/(-154) - 279\/(-117).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -14993*q**2 + 12*q - 176. Let t be x(-21). Let w = t - -10862341. 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: Let q(o) = -6*o + 4. Is q(-6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*r + 84 + 136, -2*r - 508 = -5*i. Suppose i = -5*b - 3*f - 0*f, -5*b - 100 = 5*f. Let v = b - -22. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j + 8. Let y be i(4). Let l(u) = -30*u. Let f be l(-2). Calculate the highest common factor of y and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124 + 584. What are the prime factors of c?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 473, 1357, 3103, 5999?\nAnswer: 10333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -10*d**2 + 334*d - 692. Calculate z(31).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-278)\/14 + 10384\/(-9086)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + v - 2*v**2 + (3 + 4*v**2 - 3)*(-2 - 1 + 2)*(0 - 2 + 3).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 f, 1 r, and 1 j when four letters picked without replacement from {x: 1, f: 2, j: 1, r: 1, b: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 125.0629l?\nAnswer: 125062.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 9:41 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28317 (base 12) in base 7?\nAnswer: 321346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12025 to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -192897.44637 rounded to the nearest one thousand?\nAnswer: -193000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 73.569?\nAnswer: -2.20707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000 (base 7) to base 9.\nAnswer: -3257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105 - -20?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5739, -1, 3\/1189 in decreasing order.\nAnswer: 5739, 3\/1189, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*t + 3, -3*q = 5*t + 3401990. What is q rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 5*p + 6 = 0. List the prime factors of (p - -4) + (-6)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -183*h**2 - 8*h - 14. Let b(q) = -61*q**2 - 3*q - 5. Let m(w) = 17*b(w) - 6*o(w). What is the least common multiple of 81 and m(-1)?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*i - 17*i - 6 + 6 in the form k*i + a and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 27\/84)\/((-10)\/8). Let f = -2\/5 - d. Which is the biggest value? (a) -2\/5 (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -6*v + 7. Let k(j) = 3*j + 2. Let h be k(v). Suppose -5*m = -0*m + 5*t - 35, h = t. Which is the biggest value? (a) -1 (b) m (c) 0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 329 + -274. Suppose k - 57 = -a. Solve 4*l = a*q + 8, -l + 0*l - 3*q = 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 13*z + 5. Let r(s) = -17*s - 6. Is r(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = o + 6, -27*r + 12 = -25*r - 5*o for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (-24)\/15)*-10. Suppose -o = -a*o + 3. Let j be 9 + (-246)\/(-108)*-4. Is o less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1060308477*p*u - 749730705*u wrt p.\nAnswer: 1060308477*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 497.7491\nAnswer: -298.64946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssxx. Give prob of picking 2 s.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 333474330 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, c: 7}. What is prob of picking 3 c and 1 o?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 9:01 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4)*(7 + 7579) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.14 (b) -34 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 9*g + 40. Let r be 40\/8*g\/10. What is the highest common divisor of 8 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from uhsnsmhhfsshfhs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**7\/840 - i**6\/120 + i**5\/40 - i**4\/24 + i**3 + 2. Let u(f) be the third derivative of v(f). Suppose u(l) = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13430049.738 and -70.9.\nAnswer: 13429978.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/(-8) - (-6)\/4. Which is the biggest value? (a) 1 (b) 5 (c) u (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -374 + 383. Suppose n - 3*j + 1 = 4, 2*j = -3*n + f. Solve 3*l = -4*a - 18, -14 = l + a + n*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 14*b**2 + 14 + 3*b - 20*b**2 + 5*b**2. Calculate p(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7479 - -15086. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 34*s**2 - 57*s + 257. Give d(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 8*r + 4 - 8 to i*r + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 194070091*s**3 - s**2 - 117887740*s - 2.\nAnswer: 1164420546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i + 10. Let j be 30*(8\/6 - 1). Let r be n(j). What is the highest common factor of 20 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/6 - 97*z**3\/3 - 6829*z**2\/6 + 256*z + 114552 = 0. What is z?\nAnswer: -148, -43, -12, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1) + 8 - 3. Let u(o) = t - 2 + o + 2*o - 4*o. Suppose -4*c + 6 + 6 = -3*k, k = -4. What is u(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*i**2*k + 42*i**2*n - 4*i**2 - 2*i*k*n + 2*i*k + i - 1157*k + 4*n wrt k.\nAnswer: 6*i**2 - 2*i*n + 2*i - 1157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6971224.\nAnswer: 2, 13, 17, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.005 - -0.495. What is w rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00149119 rounded to 5 decimal places?\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(5 + 17\/(-3)). What are the prime factors of (1 - 38)*(-10 - s) - 0?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -19158007.\nAnswer: 2\/19158007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -338, -502, -700, -938, -1222, -1558?\n\"Answer: -x**3 - 11*x**2 - 124*x - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.9874025 months?\nAnswer: 0.165616875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34417 - 38*w - 34417 to u + j*w and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34023 (base 5) to base 15.\nAnswer: a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4975077 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48854, -97710, -146566?\nAnswer: -195422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 - -123*(-144)\/(-81). Suppose -7*i = -1556 + h. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-5)*-1)\/(66*(-186)\/61380).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 14*k = -14*k + 24, 37156*z = 37161*z + 5*k + 120 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**4 - 65*d**3 - 305*d**2 - 615*d - 450 = 0. Calculate d.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 96027*h**2 + 319*h + 38731243 wrt h.\nAnswer: 192054*h + 319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 5. Let c = j - -4. Suppose 2*a + 16 = 2*i, -c*i + 4*a + 24 = 2*a. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**5\/10 + 184*t**4 + 135424*t**3 + 49836032*t**2 + 9*t + 47. Factor d(h).\nAnswer: 2*(h + 368)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205269*w**2 - 657819*w**2 - 1658353*w**2.\nAnswer: -2521441*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 9*w + 3. Give z(12).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3750 a factor of 436117500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7be4 (base 16) to base 15.\nAnswer: -95e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(1 + 0 + 1)*(-2*a + 6*a + 8*a).\nAnswer: -48*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-16)*k\/(k**(-1\/9)*k*k*k))\/(k**(-1)\/((k\/k**(2\/7))\/k)) assuming k is positive.\nAnswer: k**(997\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4175422 smaller than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 334\/21 - 102\/7. Factor 2\/3*h**2 + 2*h + c.\nAnswer: 2*(h + 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -2\/5, 0.07, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -598 times 19\nAnswer: -11362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162590 is divided by 81289.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/831 or 1?\nAnswer: -14\/831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/7 - 3489*l**2 + 48843*l\/7 - 24421\/7.\nAnswer: (l - 24421)*(l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 2*f**2 + 30*f.\nAnswer: 2*f**2 + 30*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**4 - 4*s**3\/3 + s**2\/2 + 2*s - 8405. Let w(v) = -v**3 - v - 1. Calculate -q(p) - w(p).\nAnswer: -3*p**3 + 4*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -25*k**3 + 72*k**2 + 4*k - 7. Calculate q(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13926566366 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-4))\/(((-6)\/(-84044))\/((-12)\/(-8))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-13 + 21)) + 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17385 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 33217\/3304 - 11 - 8\/(-14)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3585 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (20 + 4) - (-4 + (-1 - 4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6484, -13057, -19630, -26203?\nAnswer: -32776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/5, 0.1, -0.3 in ascending order.\nAnswer: -0.3, 0.1, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 1. Suppose -134*p + 64*p = -43*p - 135. Which is bigger: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 23362*g**3 + 137863401*g**2 - 16559452840*g + 502425792400.\nAnswer: (g - 11620)**2*(g - 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238485 is divided by 119223.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 + 1)*(2 - 1 + 1)*(2 + 1 + 0)*(3*u - 3*u + 3*u)*(-u**3 - 2*u**3 + u**3).\nAnswer: 216*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1475220 is divided by 184399.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - (9 + 1 + 3 + -2)) + -70.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 53 - (-6 + 2)\/4. Suppose -3*p + 2*a - m = -5*p, -49 = -2*p - 3*a. Calculate the greatest common divisor of 80 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l - 640 = -160*l. Let p(b) = -b**3 + 4*b**2 + 3*b + 10. What is p(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s + 3. Let x(v) = -6*v + 3. Determine 2*r(u) - 3*x(u).\nAnswer: 6*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(sqrt(7) - (sqrt(7)*-2*-4 - sqrt(7))) + 0)**2.\nAnswer: 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -226233 - -4?\nAnswer: -226228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -22*u - 11 + 0*u**2 + 31*u - 17*u - u**2. Let w be l(-5). Solve w = 5*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -740*t**2 + 740*t**2 + 32*t**5 + (-t**2 - 5*t + 5*t)*(0*t**3 - t**3 + 3*t**3) + t**5 + 0*t + 0*t.\nAnswer: 31*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Let s be (-1)\/(-2) - 1\/10. What is the nearest to s in b, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 v when three letters picked without replacement from pvspppxs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64687322?\nAnswer: 2, 7, 37, 47, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -132581, -265684, -398787?\n\"Answer: -133103*l + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 10. Suppose -3*n = -2*b + 54, 0*b - m*n = 2*b - 44. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4 + 59581*o**3 - 1012550*o**2 - 2263432*o = 0.\nAnswer: -2, 0, 19, 59564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-1 - (-4 - 3)). Solve 3*b - 12 = m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145173 (base 14) to base 9.\nAnswer: -1284684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1996?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121 + 109.4. Let p = m - -12. What is the closest to 2\/3 in 5, p, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 88\nAnswer: 5\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -38 - (59 + -32 + -94)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -41*o - 2. Let x(c) = c + 8. Let d be x(-4). Suppose d*t + 3*b - 5 = 0, -4 = -b - 1. Let u be p(t). What is the greatest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83\/154 + -6723\/616. Find the common denominator of 119\/9140 and r.\nAnswer: 18280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.6 - -11.2. Which is the second biggest value? (a) r (b) 0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(-k - 2*k + 5*k) + k + 0*k - 5*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 1 - 1)*(-95*t**4 - t**3 + 4*t**3 + 97*t**4).\nAnswer: -4*t**5 - 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j - 11*j - 11*j - 89740*j**2 + 89873*j**2 to d*j**2 + w + z*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002875 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 - 103. Suppose f*z - 3*r = 7, 0 = 2*z - 0*r - 5*r - 13. Is 13\/(-1)*29\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from qqqcoqqqqcqo?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 22*m - 1. Let t be 15\/(-10)*2*(-4 - 0). Let h be r(t). Which is smaller: 24 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 26*c = -5*s - 23, -2*s - 3*c - 4 = 0. Put 3, 163, s, -1 in descending order.\nAnswer: 163, 3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85272 = 69*n - 86*n. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5186004, -5185965, -5185928, -5185893?\n\"Answer: -k**2 + 42*k - 5186045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 - -127. Let w = 41 - j. Which is greater: -1\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -2*r. What is the second biggest value in -3\/2, r, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -214217 to the nearest 1000.\nAnswer: -214000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 2 (c) -6840 (d) 1\/180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 - -510?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3844 = 4*k + 88. Let c = 272 - k. Is c\/(-6) - (-2)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -2 - (-5 + (11 - 5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 810.565 millennia to decades.\nAnswer: 81056.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 15) to base 2\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 3*z - 1. Calculate t(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -82 (b) 0 (c) -2428\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -42, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72120 + -72115. Suppose -3*v + 5*v - 65 = -3*w, -3*w = -3*v + 60. Suppose -2*x - 10 = -c - c, 4*c - 5*x = v. Solve c = 5*q + 10, s*h - 7 = q + 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:02 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -158*u. Let b(a) = 40*a. What is i(b(d))?\nAnswer: -6320*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4.1, -2\/3 in ascending order.\nAnswer: -1, -2\/3, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q**2 - 137*q - 84. Determine d(10).\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 26 (c) 6\/7 (d) -3 (e) 0.1 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -762332 - -26.\nAnswer: -762306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(117) + -4)**2 - (-6*(sqrt(13) + 0 + sqrt(13))**2 - sqrt(13))).\nAnswer: -69*sqrt(13) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 29. Let v be (-1 + 3)*21\/(-14). Is v\/(-2)*(o - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 + 2*x + 301. Let z(o) = -3*o. What is s(z(p))?\nAnswer: -27*p**2 - 6*p + 301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53240.93ug to nanograms.\nAnswer: 53240930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/62 + -2 + 25560\/11780.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 39*m + 40. Let p be b(1). Suppose t - 7 = 4. Suppose -d = -5*n - t, 3*n - p*d = 3*d - 11. Sort n, 1, 3 in descending order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + a - a)*(-4*a**2 + a**2 - 1 + a**2).\nAnswer: 4*a**5 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 20 = 5*f, -3*a + 2*a = 3*f - 11. Let v be f + 0 - (4 - 8). What is the highest common factor of v and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 6*g**2 - 5*g + 4. Let l be x(5). Let w(j) = -j + 6. Let i be w(l). Let s(b) = -2 - 5*b + i + 4*b. Let v(r) = 2*r**2. Give v(s(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**4\/4 + p**3\/3 - p**2\/2 - 1. Let b be s(0). Factor b + 2\/7*j - 2\/7*j**2.\nAnswer: -2*j*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4937 and -4733?\nAnswer: 23366821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 315000 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12 - 14 - (-16)\/6)*72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/12)\/(-1)*-4. Suppose -2*x - 2 = -m - s, 4 = x - 4*m. Suppose 5*k + 3*f = 82, x - 6 = -k + 2*f. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*p**3 - 30*p**3 + 68*p**3.\nAnswer: 274*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x - 267. Let h be p(-34). What is the nearest to -0.1 in h, 1\/10, -2\/5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 155.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 3 - (-7 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 684\/29 - -5935\/116. Which is the second biggest value? (a) 5 (b) -3 (c) 3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away -1354.7?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**2 + 3*h + 1. Let m be q(4). Let o = m - 463\/5. Let u be ((-10)\/6)\/5*37\/((-740)\/240). Sort -0.2, u, o in descending order.\nAnswer: u, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 32*u - 25. Determine g(-28).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = 4*v - 20, 2*v = 2. Suppose -4*m + f + 2*f + 79 = 0, -5*m + 116 = 2*f. What is the remainder when m is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7614265 (base 10) in base 14?\nAnswer: -1022c41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, n: 1, w: 2, a: 1, i: 1, t: 5}. What is prob of picking 1 i and 1 t?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 48*z**2 + 64*z + 8. Is b(-14) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2 + 631*k - 369. What is the hundreds digit of r(84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by -57.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13332, -26647, -39964, -53283, -66604, -79927, -93252?\nAnswer: -106579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from erererrerrrrrrer.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o. Suppose 0 = 10*f - 9*f. Let n(w) be the third derivative of -1\/6*w**4 + 0 - 2*w**2 + 0*w**3 + f*w. Calculate n(m(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131.2207897 + 131.0368. Let w = 0.01 - -0.174. Let h = w + q. Round h to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 4 - 4. Let s = -21 + 27. What is the units digit of 3\/s + d\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 245.1 - 245.2. Which is the closest to -0.4? (a) k (b) 0.1 (c) -0.5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y + y**2 - 2)*(64549*y**2 - 64549*y**2 - 18*y**3 - 10*y).\nAnswer: -18*y**5 + 26*y**3 + 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24815304 (base 9) to base 10.\nAnswer: 12174547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235438 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.358222 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-8) + 1\/2. Let a(l) be the third derivative of 1\/24*l**4 + k*l + 0 - 3*l**2 + 0*l**3. Let q(r) = -r**2. Give a(q(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f**3 - 2*f - 2. Let u be v(-1). Differentiate -13*k + 13 - u*k - 23 - 26 with respect to k.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 604419?\nAnswer: 604418.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z + 3 + 3*z - 35*z**2 + 7*z. Let j be p(-1). List the prime factors of j\/(-27)*(-27)\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**4\/4 - 3*m**3 + 3*m**2 + 2*m + 942. Give a(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 - w**2 + w**2)*(-6 + 3 + 4)*(4 + 1 - 1)*(w - 2*w + 3*w).\nAnswer: 16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**2\/4 - 5*t\/4 + 3\/2 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5979086 and 872.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003726972937 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21202201 + -12010?\nAnswer: 21120121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**8\/420 + 17*v**7\/525 + 19*v**6\/150 - v**5\/150 - 2*v**4\/3 - 16*v**3\/15 + 35*v**2. Suppose x(t) = 0. Calculate t.\nAnswer: -4, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 114190088.\nAnswer: -1\/114190088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 77.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -69*z - 3 - 2. Let p(m) = 2*m**3 - 2*m**2 - 26. Determine p(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i + 40*i + 4830 = 297*i. Solve 1272*x = 1265*x - i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 620\/35 + (-6)\/(-21). Suppose -z = 5*n - 11*n. Suppose -n*f = 3*v - 264, f + 126 = -5*v + 574. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13675211657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45804 = -12*g - 0*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5055*n - 5049*n. Is n smaller than -1\/100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 2*t - 1. Let j(v) = -v**2 + 1. Let i(g) = -11*g**2 - 2*g + 3. Let b(u) = i(u) - 4*j(u). Let m be b(-1). Let h = m - -3. Give x(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/28 - (-78)\/14. Let k = 8 - n. Solve -k*u = -5*m + 12, 0 = 4*m - 1 - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 33. Let w = -39 + h. Let d be ((-5)\/w)\/((-11)\/(-44)). Calculate the highest common divisor of d and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.7477 - -20.7477. Let g = 425 + -270. Which is the third smallest value? (a) g (b) -2\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 552?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -17*m - 8. Let i be d(-6). Suppose 172 = 2*f - 19*y + 17*y, 0 = 2*f - 5*y - 178. Let t = i - f. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.136158868 and -156599.8?\nAnswer: 156599.663841132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11454422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -5*k + 84. Is 9 a factor of (k\/49)\/((-2)\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5236.297 nanograms?\nAnswer: 0.000000005236297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 - 3*n**3 + 3*n**3 + (-5*n**3 + 4*n**3 - 5*n**3)*(-n + 5*n - 2*n) + n**4 + n**4 - 3*n**4.\nAnswer: -15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -1. Let a be (8\/z)\/((-1)\/(-30)). Calculate the highest common divisor of 100 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 18 - 29)*(-15*u + 8*u - 6*u)*(2*u + 0*u - 3*u)*(0*u - 2*u + 0*u).\nAnswer: 1820*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 584 = -z + 5*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*c + 5748 + 8812. What is the remainder when c is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 2*i + 1. Let m be u(2). Suppose 3*f = -q - m, -2 = -4*f + 6*f. Solve 6*c = -32 + q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6342*w + 215635. What is n(-34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 - 2*t**3 + 1 + 3*t**2 + 20*t - 66*t + 33*t - 15*t**2. What is c(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 4. What is the units digit of (6\/10)\/(p\/75)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1701200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2840000 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 180*o**3\/13 + 178*o**2\/13 - 2*o\/13.\nAnswer: 2*o*(o + 1)*(90*o - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -5 - (6 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -5 (c) 0.37 (d) -6 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 u, and 1 l when four letters picked without replacement from {o: 4, l: 3, y: 1, u: 1, n: 6, x: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013863923 rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) 0.4 (b) 4 (c) -183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*a - 10*a - 220. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(208)*-5 - sqrt(208))\/(sqrt(32)\/sqrt(32)))**2.\nAnswer: 187200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -3*l - 32, 253*l - 3*x + 25 = 251*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g + 473 = -5558. Let k = g + 533. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 5*n. Let u be (-3 + -1)*(-150)\/20. Let z be -1*6\/(-9)*u. Solve n*g + 0*g = z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-11)*(k*(k*k**(-20)*k)\/k)\/k*k assuming k is positive.\nAnswer: k**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91183 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2. Let b be (-36)\/(-14) + 0 + (-6)\/(-14). Let r(f) be the third derivative of 0*f**b + 0 + 1\/12*f**4 - f**2 + 0*f. Determine r(o(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = 2*i + 4*d, -4*i - 2*d - 209 = -d. Let f = i + 186. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36059.55um to millimeters.\nAnswer: 36.05955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21764, 22189, 22628, 23075, 23524?\nAnswer: 23969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3310411?\nAnswer: 13, 254647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 33*b**3 + 3*b**2 - 2*b. Let p(r) = 164*r**3 + 14*r**2 - 10*r. Let s(v) = 11*m(v) - 2*p(v). What is the remainder when s(1) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**2\/2 - 4*j + 15. Let r be l(9). Let o be (1*r*-66)\/((-5)\/(-200)). Round o to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k - k**2)*(6*k - 2*k - 2*k) + 2*k**3 - 10*k**3 + 2*k**3 + 0*k**3 - 2*k**3 - k**3.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15388, -61582, -138594, -246424, -385072, -554538, -754822?\n\"Answer: -15409*p**2 + 33*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (135\/20)\/((-6)\/(-16)). Suppose 2*m - 3*s + 7 = 0, -m - r = 2*m + 3*s. Let k(z) = z + 6. Determine k(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 + 123 = 27*j. Calculate the highest common divisor of j and 11960.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + sqrt(17)*-2.\nAnswer: -2*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 415966151 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2860 divided by 312.\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -8*c + 35292. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*j - 27480 = -311*j - 80*j for j.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**2 - 7*w. Let d(z) be the second derivative of -z**6\/60 + 5*z**3 + z**2\/2 - 290*z. Let y(a) be the second derivative of d(a). Calculate k(y(g)).\nAnswer: -216*g**4 + 42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 76. Let c be (-1284)\/(-60)*(-95)\/38. Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 20*c**2 - 23*c - 75. Let h be d(-19). Let s(i) = -i + 1. Let r(p) = p**2 - 1. Calculate h*s(w) - 2*r(w).\nAnswer: -2*w**2 - w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 44. Let y be (-30)\/(-45)*(-1 + c\/(-2)). Sort 2, y, -0.2, 1\/5.\nAnswer: y, -0.2, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(14)\/(sqrt(63) - sqrt(7)) + (sqrt(98) - (sqrt(98) - sqrt(98)*-1*2)))**2.\nAnswer: 729\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q. Let u(l) be the second derivative of -l**4\/24 - l**2 + l. Let s(n) be the first derivative of u(n). Calculate o(s(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00250840919 to 4 dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*c = -100, -5*k - c - 7 = -113. Solve 9 = 19*a - k*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55.4 - -55.7. Let l = 0.06 + 0.34. Let a = l - 0.2. What is the nearest to a in 3\/5, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18659747?\nAnswer: 18659747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0*u*u*u*u*u*(u*u\/(u\/(u*u**(-5)))*u)\/u*u*u)\/(u**(-3\/5)*u**(-2))*((u\/(u**0\/u))\/(u*u**(-4)*u))\/(u**(-2)\/u**(-5)) assuming u is positive.\nAnswer: u**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*j = -11, -3*n - 40 + 5 = -5*j. Let v be (-6)\/14 + 468\/63. Let u = n + v. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**5 - 30*j**4 - 272*j**3 - 6461*j**2?\nAnswer: 120*j**2 - 720*j - 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/727696 and -38\/359.\nAnswer: 261242864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + o**2 + o + 7. Let y be v(0). Let m be (-10)\/(-25)*(1 - 7)*-5. Suppose 0 = -5*j - j + m. Solve -y*b + j = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*y - 73 = 0, y - 4*y + 3 = 0. Let c = j + -13. Let b = 5 + 4. Calculate the greatest common divisor of b and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*p + 5*j + 314 = 308, 4*j + 46 = 4*p - 38 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**1)\/t)**(-2\/71)\/(t*t**2)**(-2) assuming t is positive.\nAnswer: t**(422\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 10. Suppose 0 = 6*r + 19 - 7. Let f(p) = -8*p - 11. Let v be f(r). Sort u, v, -3 in decreasing order.\nAnswer: v, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7402882)\/(-7885912) - 2\/(-232).\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 + 3*b**2 + 3*b - 2. Let a be y(-3). Suppose -k + 175 = -3*x - 2*x, -2*x + k - a = 0. Let t = -16 - x. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 538636998 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2 - 2)*(69 - 144 - 160).\nAnswer: -235*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 - t - t**3 + 5*t**4 - 1 + 9*t**4 - 18*t**4 in the form h*t + r + g*t**4 + w*t**3 + a*t**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -515 + 520. Solve 0 = s*a - 16 + 41 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 7. Let q be y(-3). Suppose 2*a - 26 = -5*m, 2*a - q = -2*m - 2*a. Calculate the common denominator of m\/(-9) + 266\/(-36) and 41\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1611 and 71421.\nAnswer: 214263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1697*h - 153. Let s(q) = 4*q**2. Calculate y(s(j)).\nAnswer: 6788*j**2 - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = 3*m + 11, 2*m - t = -1. Let o(q) = -3*q + 7. Let i be o(m). Calculate the highest common divisor of i and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03492 * -0.3.\nAnswer: 0.010476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 51.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 3, -1 in decreasing order.\nAnswer: 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*j - 7 = 0, 35*l - 31*l = 5*j + 10. Solve 15 = l*q - 5, 2*c = -2*q + 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*r = -295, 4*d - 87 - 545 = 4*r. What is the greatest common divisor of 1065 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7523 + -7528. Let n(u) = -u - 8. Calculate n(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135 + -131. Let o(n) = n**3 - 12*n**2 + n - 8. Let t be o(13). Calculate the remainder when (t\/18)\/((-1)\/(-3)) is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + ((sqrt(1573) - (5 + sqrt(1573) + 1)) + (sqrt(1573) - -2*sqrt(1573)) + sqrt(1573) + sqrt(1573) + 4 - (sqrt(1573) + 1 + -2 + -5)))**2.\nAnswer: 440*sqrt(13) + 25193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 - (629 - 1)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608756 to the power of 1\/2, to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let g(c) = -c. Suppose s + l = -2, 5*l = 2*s + 4*l + 19. Let a(z) = s*g(z) + 4*w(z). Let d(i) = -2*i. Calculate a(d(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 18741 (b) 0 (c) -143 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 450?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0.2. Which is the nearest to 1\/2? (a) t (b) -12 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pddipdpd. What is prob of picking 1 i and 2 p?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 7:32 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -43. Suppose -j*d + 102 + 12 = 0. Let q = 113 - d. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 16*r = -58. Let x(u) = -2*u - 7. Let v be x(-6). Sort 32, -5, r, v.\nAnswer: -5, r, v, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5976435169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130 + -92. Let l = q + -26. What is the remainder when 21 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1895 and -0.5.\nAnswer: 0.09475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -128476, -1027771, -3468716, -8222137, -16058860, -27749711, -44065516, -65777101?\n\"Answer: -128471*v**3 + v**2 - v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1695\/22 - 77. Let g(v) be the first derivative of 2\/11*v + 4 - 2\/33*v**3 - l*v**4 + 1\/11*v**2. Factor g(a).\nAnswer: -2*(a - 1)*(a + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**33\/g**(7\/10)*(g**4)**(1\/20) assuming g is positive.\nAnswer: g**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/((m*m*m**(1\/9)*m)\/m)))\/m)\/m*m**(-10\/9)*m*m**(-2)*m**15 assuming m is positive.\nAnswer: m**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100010011010001 (base 2) to base 10\nAnswer: 17617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, f: 2, x: 4, l: 1, e: 2}. Give prob of picking 1 x and 2 f.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*m - 2, -3*m + 2*f + 1 = 6*f. Sort 5, m, 0, -32 in descending order.\nAnswer: 5, 0, m, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 744712 - -12?\nAnswer: 744724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3547810 - -7991449. Let v = o - 1310870836\/295. Let f = 9\/59 + v. What is the common denominator of f and 26\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44115?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 k, and 1 b when four letters picked without replacement from ibkkibbbkkbkikbbikbk?\nAnswer: 896\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/198071306 and 26\/6905.\nAnswer: 990356530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-795771)\/108*(-22 - 2). Suppose 0 = -2*l + 8*l - n. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 24607 = -q, -p - 49179 = -5*p + 5*q. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9580399 to the power of 1\/2, to the nearest integer?\nAnswer: 3095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 168 - 50 - 64 - 721*f - 58 in the form u + s*f and give s.\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 less than 1.4164?\nAnswer: -0.3836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7602*k + 250156 - 643790 = 260138 for k.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*((-40)\/14)\/2. Suppose -2 + g = j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16934 - -28294. List the prime factors of t.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/(c\/((c*c*c**(-1\/3)\/c*c)\/c)*c))**39\/((c*((c**1*c)\/c)\/c*c)**(11\/3)*(c*c\/(c*c**(-1\/3)))**41) assuming c is positive.\nAnswer: c**(-309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 f, 1 y, and 1 r when four letters picked without replacement from {w: 3, y: 2, x: 3, f: 3, r: 2}.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143 or -10?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 2. Let m be p(-4). Suppose -o + 11 - 16 = 0. Sort o, 2\/7, m.\nAnswer: o, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b = 10*b - 4*b - 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + -6351?\nAnswer: -6374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1\/3, -1, -91, 2\/5, -5\/8 in descending order.\nAnswer: 2\/5, -1\/3, -2\/5, -5\/8, -1, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a1f + -2a?\nAnswer: 19f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4 - 14. Suppose 12 = -2*c - t*l - 2*l, 4*c + 3*l = 1. What is the nearest to 1 in -0.5, -3, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -242, -243, -244, -245, -246, -247?\n\"Answer: -n - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -448.44339.\nAnswer: -444.44339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 4:50 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**7\/84 + 2*u**6\/45 - u**5\/60 - u**4\/6 - u**3\/3 + 2. Let h(d) be the third derivative of n(d). Find a such that h(a) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 18376216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 2. Let a be k(-2). Suppose -3*c + 4 = b, 0 + 9 = 4*c + 5*b. Let s be 9\/(-2) + 2 + c. Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-4 + 2 + 3)*(4 + 0 - 16)*(3*s + 4*s - 5*s)*(32*s**2 - 19*s**2 - 54*s**2).\nAnswer: -1968*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - u - 2. Let v be g(2). Let m = -3 + 5. Suppose v = m*c - 6 - 0. Solve 3 = -c*d - 0*d, 5*f + 19 = d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 89*w**2 + 2*w + 3. Let j(u) = u**2 + u + 1. Let l(d) = -a(d) + 3*j(d). Let o be l(-1). Is (o\/2)\/((-3)\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 231 and -9232404?\nAnswer: 9232635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16079 + -16012.91. Round j to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-36))\/(((-195)\/12)\/(-13)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002178 to six dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2*r + 17, -3*r = -6*q + 2850 - 2865 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*l = 3*h - 771, -2*h + 526 = 2*l. Suppose -174*b**2 - 120 + h*b - 581*b**3 - 5*b**4 - 16*b**2 + 636*b**3 = 0. Calculate b.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 322394 and 29220?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5))\/(5451\/115 + -46)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 1, b: 1, d: 6}. Give prob of sequence mdd.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137980.\nAnswer: 2, 5, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27726 + -27725.930505. Round j to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -9*n + 396. Give o(83).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 12*z - 10. Let q be h(13). Suppose q*r + 5*x + 11099975 = 0, -4*x = -4*r - 21292189 + 6492169. What is r rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 + 3*l - 11. Let w be y(-6). Let h = w - -329. Suppose h = 4*d - 88. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8716007 greater than or equal to 8716009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -32, -4 in ascending order.\nAnswer: -32, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 10:53 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*f**2 - 999292*f - 333096.\nAnswer: -4*(f + 83274)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4053124861?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 81*l - 78*l + 5*o + 10, 4*o = -4*l - 8. Factor l - 2\/21*a**2 - 2\/21*a**3 + 2\/21*a**5 + 2\/21*a**4 + 0*a.\nAnswer: 2*a**2*(a - 1)*(a + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Let w(y) = 4*y - 3. Determine -3*o(g) + w(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 2. Let p be (6\/i)\/(12\/40). Which is the third smallest value? (a) p (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20060 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(2 + 0) - -3. Let i be ((-2)\/(-4))\/((-1)\/(-2)). Is i + o - (1 - 68) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.0436 - -1.171. What is j rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31995 a multiple of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5 + 855*f**4 + 35850*f**3 - 116190*f**2 - 35853*f + 115335 = 0. What is f?\nAnswer: -233, -55, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17700 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 332215 (base 6) in base 11?\nAnswer: 19920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 30 = -4*j. Differentiate j - 15*y - 4*y**2 + 33*y - 18*y wrt y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/(-12)*-20*6\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.631\nAnswer: -2.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c + 6. Let w be (-10)\/4*(4 + -6). Suppose -w*h + 2*h = 12. Determine g(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -311\/20, 301\/55 in increasing order.\nAnswer: -311\/20, 5, 301\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-87)\/(-6) + 0)*2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8.09488 days?\nAnswer: 699397632000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 258218.9819 - 258475.9. Let j = 257 + x. What is j rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57029000 rounded to the nearest 1000000?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + c - c + (-1 - 4 + 3)*(-2*c - 46*c + 262*c))*(-6*c**3 - 144*c + 144*c) to the form k*c**3 + r*c + d + y*c**2 + w*c**4 and give w.\nAnswer: 2574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 68916 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 + 13*b**2 - 13*b**2 + b**3 + 2*b**3 - b**3 + (0*b - 3*b + 5*b)*(-3*b**2 - b**2 + 2*b**2) - 4*b**3 - b**3 + 4*b**3 - 27*b**3 + 61*b**3 + 68*b**3.\nAnswer: 103*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 622 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.41159 millennia in months?\nAnswer: 1144939.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*k - 100*k = -400 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*f - 41 - 295 - 124 = 0. Let y = -4 - -6. Put y, 1, f in decreasing order.\nAnswer: y, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 261 + 258 = 0. Let x be (-2)\/5 + ((-87)\/45 - b). What is the nearest to x in -0.2, 8, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108544659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25890 + -3616. List the prime factors of p.\nAnswer: 2, 7, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) -0.3 (c) 15 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.06, -4, -0.4, 901736?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + 3.96. Let k = p + 7. Let r = -11.3 + k. Which is the second biggest value? (a) r (b) -4 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6\/7, -2\/9, 1.\nAnswer: -2\/9, 6\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109276, -109275, -109274, -109273, -109272?\nAnswer: -109271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 368890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/30 - (2 - 3))\/(24\/(-320))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let c(d) = -4*d + 0*d + 5*d. Calculate j(c(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109082091?\nAnswer: 3, 59, 61, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from rogqqqorqvogoqgrrqor?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 192905?\nAnswer: -192912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 16*m - 15. Let t(p) = 0 + 4*p**2 + 4 - 1 + 9*p - 3*p**2. Let i be t(-6). Let q be n(i). Solve -4*w - 3 = 3*v, q = 2*w - 5*v - 28 - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -2*x + 17*q + 2*q - 154, 10*x + 5*q - 10 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 252792 divided by 63198\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 4*f - 4*f**2 + 5\/6*f**3 + 0. Does 4 divide g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16298397*t**5 + 41151488*t - 1?\nAnswer: 325967940*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -g - l, 0 = 3*g + 2*l - 0*l - 19. Is (g - (3 + -296)) + 4 + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3079 - 3058) + (-1 - 53).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 541\/45 - 59\/5. Let o = -0.046 - -27.046. Let d = 26.9 - o. Which is the nearest to 2\/5? (a) d (b) 0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2845804 = -4*a + 6*a + 338562. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 10:52 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16810 by 3362.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19732863 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 > 4488271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - 4. Let o(d) = -17 + 24*d**2 + 16*d**2 - 58*d**2 + 5*d + 19*d**2. Let m be o(-7). Calculate w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 0*w + 96 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11856 less than 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72 + 189. Suppose 5*b - p - 126 = u, 202 = 4*b + 3*p. Let z = b - 30. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-20))\/((-2)\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6937*k + 3739 wrt k.\nAnswer: -6937","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.3, -1, -3, -55\/3 in ascending order.\nAnswer: -55\/3, -3, -1, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -14, 1, 1\/24, -1?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/6*(-36)\/(-8). Let c be (3\/(-2))\/(l\/12). Suppose -2*b = -0*b + c*w - 327, -w = b - 164. What is the greatest common factor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23053887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1642404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/15 (b) -129562 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10752946 is divided by 2355.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112102000002 - 220?\nAnswer: -112102000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.016 - 8. Let f = t - -0.214. What is f rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -59, -102, -161, -242?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c + 505. List the prime factors of v(-41).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (17 + (-3 - -9))\/(1\/7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 95 - 49. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2248.4 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zamakkaaoaam. What is prob of sequence mak?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679667828 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-200)\/(-6))\/((1\/(-18))\/1). Round x to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -83*g**3 + 6*g**2 - 6*g. Let b(k) = 13860*k**3 - 1001*k**2 + 1001*k. What is -6*b(f) - 1001*u(f)?\nAnswer: -77*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(117)\/(-4*sqrt(45)\/sqrt(5)) + 4*(2 + (sqrt(65)\/sqrt(5)*-3 - sqrt(13))))**2.\nAnswer: -276*sqrt(13) + 62917\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by -1\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*f + 145 = 2*m, 0 = 3*f + 15. What is the first derivative of m - 28*y - 51*y + 33*y wrt y?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u + 1 + 3 - 4 - 1. Give x(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.801 - 0.099. Let q = 10.86 + t. What is q rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18983\/7 - -2719. Let j = q + -115\/21. Suppose -3*g - g + 32 = 5*p, g = p - 1. Which is the smallest value? (a) j (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 40 = -0*a + 2*j, 0 = 3*j - 15. What is the remainder when 2738 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 12 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 1795380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 338*c + 167. What is the remainder when j(4) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 10 = -0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-2)\/(-30) - 5236\/(-105). Let k = -53 + u. Sort 0, k, -6 in decreasing order.\nAnswer: 0, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5181 and 14619.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 3 + 3 + (-151 - 155 + 14)*(6*i - 5*i - 2*i).\nAnswer: 294*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -95976, -191975, -287976, -383979, -479984?\n\"Answer: -d**2 - 95996*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22907006179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/434 - 865\/1302. Let w = -0.181 - 0.219. Which is the second biggest value? (a) 0.4 (b) t (c) w (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**7\/s)\/s*s))\/(s*s**(-8))*s**(-1\/16)*(s**0*s)\/s)**(-29) assuming s is positive.\nAnswer: s**(-899\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/11 + 164034*p\/11 - 1476144\/11.\nAnswer: -2*(p - 82008)*(p - 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Let y(s) = -173*s**2 + s - 1. Let i(k) = -172*k**2 + k - 1. Let a(n) = -3*i(n) + 2*y(n). Let q be a(d). Round q to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261143 and 8249.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 127 - 79. What is the smallest common multiple of m and 8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*j + j**3 - 12183297*j**2 + 387*j + 12183297*j**2.\nAnswer: j**3 + 318*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46066464 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**7\/315 + g**6\/90 + g**5\/18 - g**4\/6 - 10*g**2 - 7*g. Factor f(l).\nAnswer: -2*l*(l - 3)*(l - 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-42) - (-8)\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1 (c) 3 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 6*t. Let w(q) = q. Let p(f) = -f**2 - 4*f + 6. Let r be p(-6). Let g(c) = r*w(c) + n(c). Let o(s) = -2*s + 3*s + 2*s. Determine g(o(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven eighths of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 51 = 16. Let b = 8 - f. Let z(q) = -3*q**3 - 2*q**2 - 2*q + 2. Let d(n) = -n**3 - n**2 - n + 1. What is b*z(o) - 2*d(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5*h + 65, -m + 2 = -2*h + 24. Which is greater: m or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40, -153, -580, -1241?\n\"Answer: -117*g**2 + 158*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:55 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*13\/(468\/(-96))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-90)*(-114 - -109))\/(4\/36).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2. Let y = 9 + -6. Let g(n) be the first derivative of -2\/3*n**y + 3 + 0*n**2 + 0*n. Determine g(l(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = 5*u - 5*w, 14611*u + 159 = 14615*u + 5*w for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00849721 to 5 dps.\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + -3.4. Let u = -0.127 + 0.027. Which is the closest to u? (a) 2 (b) v (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 140*v**3 + 21*v**2. Let d be 252\/133 - (-16)\/152. Let o(f) = -14*f**3 - 2*f**2. Determine d*t(w) + 21*o(w).\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 2 + (10\/5 - 2). Let w(z) be the second derivative of -z**3\/6 - 9*z**2\/2 - 7*z. Let q be w(-5). Sort -2, m, q in descending order.\nAnswer: m, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 364276 divided by -11\nAnswer: -33116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - u = -6, -u - u = -5*c + 2. Suppose 0 = -2*v - 4*l - 350, 2*v + 378 - 48 = l. Let r = 177 + v. Solve 5*w - 5*a = -r, -w + 18 = 4*w + c*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209379590?\nAnswer: 2, 5, 7, 167, 17911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -4 (c) 0.2 (d) -29\/6 (e) 1100 (f) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4109913.\nAnswer: 3, 152219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 10*a + 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*c + 2, 0 = 2*d + 3*c - 9. What are the prime factors of 1119\/15 - -3*d\/45?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + a0?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -34. Solve 0 = p - h*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 48. Suppose 800 = o*k + k. What is k rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29475 rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2 + (1 + 1 - 4)*(2 + 3 - 4) - 4 + 3 + 5)*(2*i + 3*i - 4*i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/5 (c) 9 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xgygyggxgggxgxyyy?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11402 - 17?\nAnswer: -11420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1966.4 + 1596. Let d = q - -288. What is d rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 2, l: 1, j: 1}. What is prob of sequence qlq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1414, 5360, 11952, 21190?\nAnswer: 33074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132893861*f + 224008746.\nAnswer: -132893861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.3 - 22. Let r = h - 1.4. What is the biggest value in 1\/5, -0.5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11083, 11092, 11105, 11122, 11143, 11168?\n\"Answer: 2*m**2 + 3*m + 11078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 450168 to the nearest 10000.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 60\/48 - 6\/24\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + 5*d + 100, d - 118 = -4*v. Let z be (-3*(-4)\/v)\/((-43)\/1720). Is z at most -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222713 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-2 - (-3 - -2)). Let l(m) = -m**3 - 5*m**2 - 2*m + 4. Let w be l(v). Let f = 2592109 - 2592106. Sort 1\/3, 0, f, w.\nAnswer: w, 0, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 198*g + 199*g + 120 = 0, -5*g + 50 = o. Solve 177*f = 202*f + o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13740 and 150780.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 24 - 29961*p**2 - 70033*p**2.\nAnswer: -99994*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - -7660201?\nAnswer: 7660164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -181, -236, -345, -526, -797, -1176?\nAnswer: -1681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 6*p**2 - 6*p + 42. Let i be a(6). Solve i*n - 7*n = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-9) + 130\/(-18). Suppose 5*a - 4*a = -6. Let b = a - h. Put -1, 0, b in descending order.\nAnswer: b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.1101473 rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111357505 is divided by 179?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.197 take away 57816094?\nAnswer: -57816094.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5295 - -5353. Solve -16*f + x = -38 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13656.\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -465*s**2 + 231*s**2 + 2 + 8156*s**3 + 234*s**2 + 1335*s**3 to y*s**2 + w + f*s + d*s**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j - 29. Let x be z(-13). Calculate the smallest common multiple of 10 and ((-24)\/(-30))\/(4\/x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j + 220. Let p be q(-30). Calculate the highest common factor of p and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(5)*-1) + sqrt(44) + sqrt(44))\/sqrt(4) + -3.\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 8:56 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l + 9 = w, -3*l + 21 = 5*w. Let y = w + 41. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51972 is divided by 12988.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41.5 - -41. Sort i, 8, 4\/5.\nAnswer: i, 4\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2\/5 + 93116*s\/5 + 93114\/5 = 0.\nAnswer: -46557, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5, 13.79, -23, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - 101000101110110111?\nAnswer: -101000101111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 148, 159, 172, 187, 204, 223?\n\"Answer: h**2 + 8*h + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8955\/12364 + -20\/281. Calculate the common denominator of w and 109\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4 = 2*j - 0, 5*j = 2*g - 26 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 = -5*h - 68. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51292 divided by 6.\nAnswer: -25646\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.5, -3084, 3, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.685924974 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 935*m + 937*m - 1878*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = 3. What is the units digit of -6 + b + 6 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 + 2*b**2 + 3*b - 2. Let l be z(2). Let d be 5\/20 + (-151)\/l + -1. Suppose -95 = -2*s + d. Calculate the highest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and 16631801.3126.\nAnswer: 16631810.3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v. Let m(r) be the first derivative of r**2 - 19. Give m(d(z)).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*b - 7691, 5*b - 4615 = -3*q + 7*b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -15*x - 21. Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 192494544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -19 - -4) + (-4)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 7. Let y = -43.9 - -25.8. Let c = y - -18. What is the second smallest value in u, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 37. Suppose 0 = 9*p + p. Let v be (p - 1)\/((-1)\/a). Calculate the greatest common divisor of v and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.017 or -3.794949?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/((-16)\/(-10)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**17)))**(-1\/12)\/(t**(-21)*(t**(-3\/28)*t)\/t*t) assuming t is positive.\nAnswer: t**(521\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/13? (a) -2 (b) -1\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 353977 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18126 + 18137. Solve c - 22 = 5*j, 4*c = -7*j + p*j + 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) + (-24410)\/(-25). Suppose -7*r - 2915 = -8*r. Suppose 3*x + 4*i - r = 0, -3*i - z = x - 2*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i + 24. Let b be c(4). Let o(r) = -4*r**2 - 3*r - 7. Let w be o(b). Let k(n) = 16*n + 37. Let m be k(-6). Is w smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 43, 83, 123, 163?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**4\/12 + 7*m**3\/6 + m**2 - 38*m. Suppose -2*l + 4*h - 9 = 25, -2*l + 5*h = 39. What is d(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 3:16 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 17818231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 19129255 and 19129255 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, s: 1, w: 2, k: 1}. Give prob of sequence gwws.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**2\/y))**22\/(y\/y**(2\/21)*y**(-7)) assuming y is positive.\nAnswer: y**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + 76. What are the prime factors of f?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/3 - 374078*k**2\/3 - 5823921138*k + 624587984802.\nAnswer: -2*(k - 107)*(k + 93573)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*m**3*r**2 - 43*m**3*r - 3*m**2 + 229*m*r**2 - r**2 wrt m.\nAnswer: 150*r**2 - 258*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - -2.5.\nAnswer: -40.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -108*b**2 + 2*b + 11. Let q be n(10). Let c = q + 150847\/14. Calculate the common denominator of c and 29\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**4 + 5*g**4 - 14*g**4 + (11*g**4 - 19*g**4 - 7*g**4)*(1 + 2 - 2) to h*g**4 + x + b*g**2 + v*g + k*g**3 and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890*g - 884*g + 60 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.51 - 0.49. Which is the closest to -2\/9? (a) v (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (34\/8 + -6)\/((-1)\/976). Suppose -130*x + k = -123*x. List the prime factors of x.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6 + 4 - (-1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 2 + -7 + 1 + (-145 - -157).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*n + 6*n + 25*n to l + y*n and give y.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108384 = 138*r - 72*r - 50*r. Calculate the remainder when r is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1238422 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 376039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 207*w + 207*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakkkkkakeqkk. What is prob of picking 1 k and 1 a?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -14 (b) -2\/11 (c) 0.38 (d) 2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51299 is divided by 4272?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55856 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0324*-1296.6\nAnswer: -42.00984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 17672*f**2 - 20*f + 28. Let y be k(-19). Suppose 3*o - y = 5*o. What is o rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a762 (base 11) to base 14.\nAnswer: 11bd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 696671 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**8\/84 + 16*u**7\/105 - 11*u**6\/15 + 28*u**5\/15 - 17*u**4\/6 + 8*u**3\/3 + 9*u**2 + 13*u. Factor g(x).\nAnswer: -4*(x - 4)*(x - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 165550907?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -52490812 divided by 29194?\nAnswer: -1798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-12)\/162 + 4*8\/(-432).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41655 (base 11) to base 15\nAnswer: 12ea6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 29 = -2*z - 133, -5*d + 4*z = -98. What is the greatest common divisor of 242 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 - 33*s - 12599. What is j(-47)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5761*m + 5752*m = 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -13*w**8\/112 - 29*w**7\/14 - 9*w**6 - 13*w**5 - 4*w**4 - 326*w**2. Find x such that t(x) = 0.\nAnswer: -8, -2, -1, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 30*r**2 + 4*r + 11. Let x(f) = 15*f**2 + 2*f + 5. Suppose 4*y + 2*q = 26, -5*y - 5*q + 48 = 3. Let l(k) = y*j(k) - 9*x(k). Give l(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 27346*n + 4241630. What is s(156)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 1. Let r be z(-1). Let p = -9 - -4. Which is the nearest to 2\/3? (a) p (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11827*i + 4 = 9*k + 11832*i - 16, -4*k + 36 = 9*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -76699.0348 and -0.5.\nAnswer: -76699.5348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-2\/25)))\/y*y**(-9\/4) assuming y is positive.\nAnswer: y**(-317\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 98\/3. Let s = 0 - -0.1. What is the closest to s in -5, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-1)\/2 - -2). Let r be (-3 + 0)\/(6 - 522\/84). Solve 4*p = 4*z, -l*z + r = 5*p - 0*p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + t = r - 5, -4*r = -t + 1. Let u(d) = 2*d**3 + 1. Let j be u(r). Is ((-20)\/(-16))\/(j\/(-28)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-8 - -2) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6589312 to the nearest integer?\nAnswer: 2567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1254\/152)\/(9\/48*4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 v when three letters picked without replacement from {e: 4, f: 2, c: 2, p: 2, n: 3, v: 1}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 26 = -4*g. Let z = g + -9. Suppose k = -2*m + 9, -z*m - 10 = -5*k - 35. What is the remainder when m is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*g + 349*g + 170 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 7. Let f be a(-7). Suppose f = 2*i - 0*i - 4. Let g(k) = -5*k + 2*k + 7*k - i. What is g(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29321.115 - 29321. What is h rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence niba when four letters picked without replacement from {s: 7, i: 3, b: 4, n: 3, a: 3}.\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52983984923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*z - 31*z - 171. Is 58 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 79, 122, 153, 166, 155?\n\"Answer: -b**3 + 3*b**2 + 47*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from xpip.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**4\/4 - 8*b**3\/3 + 4*b - 8. Let s be c(-8). Let w(t) = -t. Let p be w(-2). What is the greatest common divisor of s and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 84 = 4*u. Solve h + u = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 251204 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858 divided by 2?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwoz when four letters picked without replacement from {o: 8, z: 7, w: 5}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 82. Suppose 3*p - 544 = -o*s, -2*s + 3*p = 3*s - 1360. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 72 = -0*o + 13*d, -7*o - 11 = 6*d - d + 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-8))**(-1\/16)\/(h**(-8)*h*h*h**(-3)) assuming h is positive.\nAnswer: h**(135\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -0.1. Let f = 0 - -0.1. Let z = -0.18 - 0.82. What is the second smallest value in z, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2 + 2 - 3*o**2. Let t(g) = -3*g**2 + 6*g + 6. Let l(x) = 8*x**2 - 17*x - 17. Let c(r) = -6*l(r) - 17*t(r). Calculate v(c(y)).\nAnswer: -27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oototo. Give prob of picking 1 o and 1 t.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1967 + 3. Suppose 5*s - x = 5*j, -4*j = 4*s - 7*s + 1184. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 r, and 1 k when four letters picked without replacement from {r: 2, f: 4, g: 2, a: 7, k: 1}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*p**4 - p - 32*p**4 - 29*p**4 + 9*p**2 + 132*p**4 + 1 - 35*p**4 to the form m + q*p**2 + g*p**4 + b*p**3 + v*p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/774*666*(-5)\/5?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 13\/24*d**4 - 2\/21*d**8 + 0*d**7 + 8 + 0*d**3 + 0*d**6 - 3*d**2 - 1\/20*d**5 + 0*d. Find the third derivative of h(c) wrt c.\nAnswer: -1920*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/5 and 32\/20281.\nAnswer: 101405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.66298 minutes?\nAnswer: 159778800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2960556 is divided by 139?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 10:38 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/2)*x)\/(((x\/(((x\/x**(-4\/5))\/x)\/x))\/x)\/x)*x*x**(-10)*x*x*x\/((x*x\/x**(-2))\/x)*x*x assuming x is positive.\nAnswer: x**(-77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102927 + 0.4?\nAnswer: 102927.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uttl when four letters picked without replacement from {y: 2, u: 5, l: 3, t: 9}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**4*x**3 + 74*o*x**3 + 177*x**3 + 2*x**2 wrt o.\nAnswer: 12*o**3*x**3 + 74*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 138\/(-45))\/(8\/24). Let h(o) = -39*o - 205. Let l be h(-6). Which is the third biggest value? (a) s (b) 3\/7 (c) 0.5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729*g + 2036*g + 44438 = 0 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1415 or -67?\nAnswer: -1415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(1210)*-2).\nAnswer: -sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9381 and 530?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -993 * -0.08\nAnswer: 79.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Suppose 5*j - u = 30, -3*u = -15*j + 17*j - 29. Let n(c) = -c**2 + 2*c + 37. Let f be n(j). Solve -a = -f*t - w, -5*t = a - 2*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0 + 0)*(2*k**2 + 0*k**2 + 8773*k**3 - 7604*k**3).\nAnswer: -1169*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6043 + 0?\nAnswer: 6043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 513345084 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.5, -1\/5, 2, 28.35 in increasing order.\nAnswer: -10.5, -1\/5, 2, 28.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 14 in ascending order.\nAnswer: -4, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = -2*m + 4*z, -2*m - 2 = 3*z. Let t(q) = -q**3 + 18*q**2 + 15*q + 82. Let k be t(19). Solve -2 = -g - n, 3*g + m = k*g + n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-3)\/(-15) - 0. Let y = 0.9 - 1.2. Let i = 0.7 + y. Put i, 4, b in ascending order.\nAnswer: b, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.147412 centuries in decades?\nAnswer: 1.47412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (4 - 6) + (0 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-26)*202215\/347395?\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447 (base 8) in base 10?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 9:24 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 14*d - 15. Let z be l(4). Suppose 0 = -z*s + 14018 + 3132. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 12:07 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727 + 243 + 242 + 242 - h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685787 is divided by 485.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5250 by -1.\nAnswer: 5250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - (-312)\/40 - (-7 - 322\/(-40)). What is the third biggest value in -1, -4, -11, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + n**2 - 2 + 2*n**3 - 2*n**2 + n**2 + 12*n**4 to p*n**4 + q*n**3 + x*n + g*n**2 + j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 2*b**3 + 0*b + (0*b**3 - 2*b**3 - b**3)*(-2 + 1 + 0) - 3*b**2 - 7*b**3 + 3*b**2 as q*b**2 + d*b + k*b**3 + n and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.873, 7\/4, 30?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 267*f - 255*f - 72 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186 - -180. List the prime factors of ((-8)\/y)\/((-2)\/(2 + -1142)).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -250 - -256. Let h be (-1*(8 - r))\/(-1). Put h, 0, -8 in descending order.\nAnswer: h, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -140, -4, -496 in descending order.\nAnswer: -4, -140, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83.1060460092 - -1.1060454192. Let z = x - -82. Round z to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2 - 117772*v + 117776 = 0. Calculate v.\nAnswer: -29444, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 183362 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -255\/50819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 653 + 699 = 3*t, t - 5*u = 484. What is the tens digit of t\/12 - 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/11 in 4, 0.4, 3, -16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 + -3.18. What is o rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - (-1 - 1)*1. Sort -8, 5, d in decreasing order.\nAnswer: 5, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4673022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**3 - 7*b**3 + 27*b**3 - 5*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2608, -2593, -2570, -2539, -2500?\n\"Answer: 4*z**2 + 3*z - 2615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -108*a**4 + 186*a**4 + 5*a**3 - 5*a**3 + 80 + 2*a + 192*a**4 wrt a?\nAnswer: 1080*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 0. Let z = -3160 - -6317\/2. What is the second smallest value in g, -2, z, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(-4 + (-2*sqrt(475)*2*4*1)**2) + -4).\nAnswer: -3039920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023901469 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5030089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -110223?\nAnswer: -110242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**6\/120 + 7*k**5\/60 - k**4\/24 - k**3\/3 + 698*k**2. Give j(8).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*b - 693, 0 = -4*g - 0*b - 3*b + 2757. What are the prime factors of g + -5 + (-1 - -3)*2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 - 0.97. Let m = -0.2 + -0.8. Let k = m + 0.7. Which is the nearest to 0? (a) k (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -315 - -317. Suppose -k*h - b + 4134 = b, -2*b = -4*h + 8238. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.21013469 - 0.21. Round f to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(4\/4 + 0). Let q be (3 - r) + -1 - -6. Let m = -4 + q. Solve -6 = -c + n, -5*c + 4*n + 10 = m*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*s - 30 = 0, 5*k + s + 3*s + 20 = 0. Let g(l) = l + 10. Let f be g(k). Suppose 2*n - 12 = -f*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4087\/3421 + -4\/311. Let x = h - 102\/77. Let j = 7.3 - 7. Which is the closest to -0.1? (a) x (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6714 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, -2\/3, -59, -283?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 = -0. Let x be (-44)\/10*10\/y. Let s = -4 - -3. Put s, x, 3 in decreasing order.\nAnswer: x, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -197\/4815510 and -5\/2201376.\nAnswer: 77048160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -50. Let y = -73569\/43 + 1711. Let j = y - 98\/129. Which is the third smallest value? (a) 0.2 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/137440 and -19\/2?\nAnswer: 137440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -17 - (-1 + (0 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/22)\/(198\/(-15778884))?\nAnswer: 2, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-375958)\/(-207)*-3)\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 924804 is divided by 78.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -6, 1\/5 in ascending order.\nAnswer: -6, 1\/9, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18465 (base 11) in base 12?\nAnswer: -12b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**3 - 2*x**2 - 2*x + 1. Let i(u) = u**2 + 7*u - 2. Let f be i(-7). Is 23 a factor of k(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 2*p**2 - 2*p**2 + (0*p - p + 2*p)*(2*p - 2*p + p) + 0*p + 0*p - 2*p**2)*(-46*p**2 + 18*p**2 - 7*p**2).\nAnswer: 105*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2285.915 litres to millilitres.\nAnswer: 2285915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-72)\/14)\/((-18)\/84). Let g be 2634\/o - (-2)\/8. Calculate the greatest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-741)*-13*((-156)\/1)\/4\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161 - -239. Suppose j = d - 56. Let h = d + -653\/5. Find the common denominator of -13\/4 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 at least as big as -134\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*b + 374*b = 12 + 22 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -10.4.\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70808590 rounded to the nearest 1000000?\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 20. Let l be k(-5). Let n be -3*(0 + 70\/l). Let x be n\/5 + 5\/(-25). Put -2, 8, x in descending order.\nAnswer: 8, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 6?\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3\/11 + 11446*i**2\/11 + 52057370*i\/11 - 299953233358\/11 = 0?\nAnswer: -5111, 5417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*v**3 - 44*v**3 - 46*v**3 - 54*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1276 (b) 0 (c) 1 (d) -4 (e) -562\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8574801*b**2. Let q(z) = 3*z. Give q(g(k)).\nAnswer: 25724403*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + -0.1. Let n = t + -0.9. Suppose -14 = -4*v + 2. Which is bigger: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 15 = -3*s - 6, 3*z + 9*s - 42 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 744711?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**2 + 5*t**2 - t**2 + 0*t + 0*t + 2*t**2 + (-1 + 2*t + 1)*(-2*t + 0 + 0) - t + t**2 + t + 4155 - 4155 - 729*t**2.\nAnswer: -732*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, r: 9}. What is prob of sequence rr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**5\/20 - r**4\/2 + r**2 - r. Let c be (-110)\/(-33)*18\/(-10). Let n be g(c). Solve u + n = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148 - 138. Suppose -c + 1 = a - 9, c + d = -5*a. Calculate the remainder when 148 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-49)*-9*42\/(-162).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7276599, -3, -2, -1 in ascending order.\nAnswer: -7276599, -3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45952 and 512.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + (486 - -3) - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1253, 1510, 1939, 2540, 3313, 4258, 5375?\n\"Answer: 86*a**2 - a + 1168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 213 + -351. Let p be 2\/10 + q\/15. Is (-1)\/2*1494\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.4, 73, -0.06 in descending order.\nAnswer: 73, 0.4, 0.2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - g = 6, -3*w - 2*g = -6*w + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 + 12*o + 13. Suppose 2*b - 63 = -b. Let l be z(b). List the prime factors of l\/(-28) - (-6)\/(-21).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -84*t**3 + 10*t**2 + 23*t - 4. What is k(1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459017407 and 5749.\nAnswer: 5749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 34*t + 3. Let y(a) = 5. Calculate w(p) - 2*y(p).\nAnswer: 34*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 392*f**4 - 5*f**3 + 5*f**2 + 2000*f + 5. Let a(k) = k**4 - k**3 + k**2 - k + 1. Let t(x) = 5*a(x) - i(x). Find the second derivative of t(z) wrt z.\nAnswer: -4644*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/273 (b) 713\/5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n - 4*n + n**3 + 3*n**2 - n**4 - 28 + 30.\nAnswer: -(n - 1)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2996*n**2\/9 + 6002*n\/9 - 20\/9.\nAnswer: -2*(n - 2)*(1498*n - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 1141 = -1155 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 22 = j. Suppose l + 1942 = 5*b, 0 = 5*b - 0*l - 2*l - 1944. Let x = b - 3869\/10. Find the common denominator of x and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -13. Let x = k - -60. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.86 - -325.26. Let m = -316 + v. Put 0, -1\/4, m, 5 in ascending order.\nAnswer: -1\/4, 0, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j + 14. Let x(g) be the second derivative of g**2\/2 - 3*g. Determine -12*x(r) + y(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.49 + -1.49. Let v = r + 0.28. Let j = v + 2.49. Round j to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:08 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 789985106 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (0 - 0) - -4. Suppose f + w*f = -3. Let g = 4 - 3.8. Sort 3\/5, f, g.\nAnswer: f, g, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14910 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58621112 divided by 1.\nAnswer: -58621112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 454889 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 369684 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 + 120. Calculate the remainder when 114 is divided by r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25 (b) -336 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - (0\/2 - -5). Sort 9, 5, d, -4.\nAnswer: -4, d, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142 and 8023?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10343?\nAnswer: 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 2:58 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -199 - -194. What is the fourth biggest value in -3, -0.1, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1415298815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206546686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 225 - 55. What are the prime factors of d?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/21*0*1\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 69 = 7*c. Solve 0 = -2*y - c*r + 16, y - 5*r = -2*r - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/251 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**3 + 28*q**3 + 7*q**3.\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -696 - -694. Let h be (3 - 2)*(0 + -4). Is m greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*n. Suppose 6 = -x + 7. Let i(u) = 8*u**3 + u**2 - 1. Let t be i(x). Solve n = 4*c - 0*c + t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-96)\/(-270)*50\/(-17). Let s = t + 14\/17. Which is the closest to s? (a) -5 (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -647 + 651. Solve j + a - f*a = 4, j + 4 = -a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r. Let s(t) = 120*t + 324. Let f(c) = -15*c - 38. Let z(o) = -51*f(o) - 6*s(o). Determine z(m(n)).\nAnswer: 180*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33011586*r**5 - 34092873*r?\nAnswer: 660231720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 10:48 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaammaam. Give prob of picking 2 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 783 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 9*m**2 + 54*m + 7. Let r be s(-6). Let j be (1 - -2)\/(3 + -4). Let t be j*(-7)\/(105\/10). Solve t*h - r = -3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*4\/(-28)*5\/((-10)\/(-14))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 399350201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 230497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 - -24)\/(-2 - -4). Let u = 4 + 9. Calculate the remainder when (29 - 4)\/(3\/n) is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d*d**(3\/8)))*d**(2\/9)*(d**(3\/7)\/d)**(-41) assuming d is positive.\nAnswer: d**(12613\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:45 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-4)*(7 - 95\/15). Let f be (-1)\/(34\/12 + d - 0). What is the greatest common divisor of 42 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 - 1451*k\/3.\nAnswer: -k*(k + 1451)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8*180\/720\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, e: 2}. What is prob of sequence eb?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*m + 3*n, -m + 3*n - 18 = -2*m. Suppose 0 = -2*a - 10, 2*k - 4*a + m = 44. Suppose 192 = -k*y + 7*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010121020 (base 3) to base 16.\nAnswer: -a407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -85 and -86 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73285 - -13.08.\nAnswer: 73298.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-3)*(9 - 6). Let x = 52 - f. Is x a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2591829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 - -339\/4. Let v = 479.5 + -479. What is the second biggest value in -2\/19, -0.2, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence giw when three letters picked without replacement from wwawwowaogiqwwaw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y - 4*y + y**2 - 4*y - 1 - 3*y. Suppose q + 5*z - 43 = -11, -3*z + 15 = 0. What are the prime factors of u(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, i: 2, u: 6, g: 6, f: 2}. Give prob of picking 1 u and 2 g.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jhjjhjjjjjj.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03562002577 to three decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 294468.8.\nAnswer: -1472344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552138 divided by -6.\nAnswer: 92023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 5*n + 6. Let z = 1 - -3. Let w(a) = -a + 10. Let j be w(8). Let p(t) = 13 - 5*t**j - 2*t + 13*t + t**2. Give z*p(x) - 9*d(x).\nAnswer: 2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z + z)*(0*z + 3*z - z) + (27*z**2 + 37*z**2 - 23*z**2)*(-6 + 4 + 4 + (-1 + 1 - 1)*(1 + 2 - 6)).\nAnswer: 211*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**3 - 160*z**2 - 195*z - 40. Let k(p) = p**3 + 23*p**2 + 28*p + 6. Let i(b) = 20*k(b) + 3*m(b). Determine t so that i(t) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35084063, -70168127, -105252191, -140336255, -175420319, -210504383?\nAnswer: -245588447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**6\/2 - 7*d**3\/3 + 16*d. Find the second derivative of s(q) wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 1225?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2128484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 39 - 1 - 9 - w.\nAnswer: -w + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24131 - 24*z + 24131 + 3*z**3 - z**3 - 8*z**2.\nAnswer: 2*z*(z - 6)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 2*m**4 + 2*m**4 + m**4 - 6*m**4 + (4*m**2 - 4 + 4)*(-3*m - 6*m**2 + 3*m) to a*m + d*m**4 + v*m**2 + r*m**3 + h and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66711333*a + 450435109.\nAnswer: -66711333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = -c, -c + 5*c - r - 17 = 0. Suppose m = 3*s + 13, 0*s + c*s - 2*m = -16. Let q = -8 - s. Sort q, 1, 2.\nAnswer: q, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 2*u + 3. Let p(w) = -w**2 - w - 2. Suppose 5*f - 15 - 15 = 0. Let o = f - 8. Determine o*i(l) - 3*p(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62 in 3\/11, -7, 0.07, -5, -2\/5?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32b9 (base 15) to base 11.\nAnswer: 8092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 19*r**2 + 9*r - 8. Let c be v(1). Suppose 2*x - 5 - 3 = -2*y, -y = 5*x - c. Solve 9 = q + 2*o - 2, y = -5*o + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166810 divided by -7\nAnswer: -23830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**4 + n + 1. Let s be (-6 - -7)\/(2\/(-4)). Let a(b) = 8*b**4 - 22*b**3 + 12*b**2 + 2*b + 2. Let h(d) = s*a(d) + 4*f(d). Factor h(r).\nAnswer: -4*r**2*(r - 3)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 + 166. Suppose -b - a + 2 = 0. Which is bigger: 9 or b?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z + 9. Let h be k(-3). Let s = 0 - h. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (1 - 2)\/1. Suppose -3*i = 5*f - 22, f + 12 = 5*i - 3*f. Suppose c + i = y*c. Is 1\/2 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, s: 2, k: 1, w: 1, c: 2, z: 2}. Give prob of sequence cf.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11176, -88942, -299886, -710596, -1387660, -2397666, -3807202?\n\"Answer: -11098*h**3 - h**2 - 77*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -1, -12, 5 in decreasing order.\nAnswer: 5, 3, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1375*o**2 - 892 wrt o?\nAnswer: -2750*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((0 + sqrt(108))*3)**2 + -3.\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 - -2. Let d = 116\/5 - 489\/20. Which is the biggest value? (a) u (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*g + 3*g = 35, -2*g = 2*h - 20. Suppose v = -h, -2*z = 3*z + 3*v + 85. Let o = z - -19. Let u(r) = r**2 - 5*r + 2. Give u(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -66.7109.\nAnswer: -40.02654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 321 or 301?\nAnswer: 301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or 162?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 4:38 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 32 + 1 - 2*b + 4*b.\nAnswer: 2*b - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 329 - 329. Which is the second smallest value? (a) 0.077 (b) -7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from wkkrbfbkbbkd.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -60, 2, 5, -9, 445?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.14637 milligrams in grams?\nAnswer: 0.01914637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11031320 (base 6) to base 12.\nAnswer: -13b540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-540)\/312 + 1 + 2. Let o = -10\/13 + l. Is 1 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 605104440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5 - 6203159*a**3 + 26*a**2 - 2464679*a wrt a.\nAnswer: -60*a**2 - 37218954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 20*m + 18 + 62 + 253*m + 368*m - 124*m. What are the prime factors of p(3)?\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 4 = -10*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 - 2*d**2 + 2*d + 2. Suppose 0 = 4*n + 4*f - 789 + 153, -3*n + 507 = -2*f. Let w(u) = -80*u**3 + 55*u**2 - 55*u - 55. Give n*t(y) + 6*w(y).\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13487*m**2 + 49*m + 9235. Let c(s) = 8992*s**2 + 35*s + 6156. Let x(y) = 7*c(y) - 5*r(y). Differentiate x(b) wrt b.\nAnswer: -8982*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1. Suppose 16 = 4*j, 3*j = h - 2*h + 14. Let k(u) be the first derivative of 1 - 3*u + 1\/2*u**h. Determine -k(l) + 3*z(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.3 * 3.4.\nAnswer: 89.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*q + 3*o + 31, 5*q - 11 = -o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*r + 36*r + 36*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f + 6. Let u(b) = -5*b + 7. Let s(z) = -6*c(z) + 5*u(z). Let x = 8 - -1. Let o = -11 + x. Give s(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-498)\/1245 + 7\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 160 + 2555 = 5*d, -2*d + 541 = a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + l - 4. Let z be u(-3). Suppose -2*y + 48 - 18 = 0. Let d = y + -19. Put -1, z, d in descending order.\nAnswer: z, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/164224 and -53\/8211200.\nAnswer: 8211200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 18 = 21*j - 24*j, j = -4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/42)\/(298556\/(-31038))?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Add together -382.8 and 9.\nAnswer: -373.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -974 (base 12) to base 5\nAnswer: -21014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -1541, -137, -23, 1?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/156816 and 67\/4635576.\nAnswer: 305948016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-228)\/6669)\/(10\/9).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/9 (b) 54\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 0*c + c + (-1 - 1 + 1)*(0 + 0 - c) - 4*c + 2*c - 2*c - 4*c + 2*c + 3*c + (1 - 1 + 2)*(3878 - 3878 - 25*c).\nAnswer: -53*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 218\/9?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 152 + -164 - (1 + 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 0.4 (c) 9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:46 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l**3 + l**2 - l - 1. Let h = 0 - -1. What are the prime factors of s(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-2)\/(-208))\/((-2)\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q + 2433*q**2 + 2*q - 8*q.\nAnswer: 2433*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9*v**3 - 183*v**2 + 1287*v - 11. Let d(r) = -6*r**3 + 123*r**2 - 858*r + 7. Let m(n) = 11*d(n) + 7*y(n). Solve m(g) = 0 for g.\nAnswer: 0, 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3 - 3 + 3*g**2 as w + s*g + v*g**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Suppose 2*s - k = 0, 4*j + 0*s = -4*s - 500. Let c = -83 - j. Round c to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -755, -1511, -2267, -3023, -3779, -4535?\n\"Answer: -756*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*i - 12. Let y be (1\/i)\/(2\/20). Let z = 4 + -9. Sort z, 0.5, y.\nAnswer: z, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 4:32 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646.9 rounded to the nearest ten?\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 41\/21*f**4 + 4*f**2 - 1\/210*f**5 - 6724\/21*f**3 + 26 + 0*f. Solve v(r) = 0.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482420?\nAnswer: 2, 5, 24121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 3*a - 46, -42 = -5*y - 4*a. Calculate the remainder when 196\/y - 2\/(-5) is divided by (3 + 0)\/((-27)\/(-63)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 773 - 7303\nAnswer: -6530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 1b9?\nAnswer: -1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus -71?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4586 is divided by 460?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 6:13 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -29) + -29 + 111 + -89\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -12) + 2 + -19\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/13)\/w)**(-20) assuming w is positive.\nAnswer: w**(300\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -10*k + 12. Find the third derivative of -2*i**6 - 6 - 6*i**6 - 11*i**k + 6 wrt i.\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*c - 36 = -47*c. Suppose 28 = c*n - 4*n. Solve 2*x + 5*a = -2, 4*a - n + 1 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4126, -5, -1 in decreasing order.\nAnswer: 4126, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9898469 to the power of 1\/2, to the nearest integer?\nAnswer: 3146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 7:54 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -74, -34, 24, 100, 194, 306?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - f + 2*f)*(f**3 + 1 - 1).\nAnswer: f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4620083, -18480306, -41580677, -73921196, -115501863?\n\"Answer: -4620074*x**2 - x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -217190 * -231.\nAnswer: 50170890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w. Let a(h) = -3*h**2. Let b(v) = -4*v**2. Let n(k) = 3*a(k) - 2*b(k). Give o(n(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 5*p - 15, -664*o - 670*o = -1338*o + 2*p + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -325 or -326?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 106 - 65. Let r(h) = 94*h + 96. Let d be r(-1). Suppose d*b - b - 57 = t, 5*t + o = b. List the prime factors of b.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 - 485*v - 8568.\nAnswer: -(v + 18)*(v + 952)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c. Let x = 2 - -41. Let i(g) = x*g**2 - 22*g**2 - 20*g**2. Calculate i(n(v)).\nAnswer: 121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*l = 172*l - 152. Let a(o) = o + 9*o**3 - l - 20 + o**2 - 20 - 21 + 81. Let u(i) = i**3 - 3*i**2 + 2*i - 1. Let c be u(2). Calculate a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + k**2 - 4*k - 2. Let g be v(-3). Let z = g - -8. Suppose -6*h**2 + z*h**3 - 30*h**4 + 3*h**3 + 33*h**4 = 0. Calculate h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8*q)**(2\/31)*(q**1)**(10\/3) assuming q is positive.\nAnswer: q**(364\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 + 616*n**2 + 3*n - 319 - 131 - 177 - 617*n**2.\nAnswer: -n**2 + 3*n - 528","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17948 is divided by 176.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 1:22 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 7*a = -3*a - 20, -k - 3*a + 9 = 0. Solve 3*d - k*p - 15 = 0, -d = 4*p + 3 - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*w - 17, 0 = 1626*d - 1631*d - w - 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -351, -696, -1041, -1386?\n\"Answer: -345*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 2*a - 4. Let d(t) = -6*t**2 + 11*t - 22. Let o(f) = -2*d(f) + 11*h(f). Let l(i) = 7*i**2. What is 6*l(w) - 51*o(w)?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(70\/4) - (-1205)\/(-560). Let i = 17142\/25 + -10111189\/14800. Let o = i + y. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 520610 and 35586.\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*s + 14 = 0, -5*u - 3*s + 16 + 28 = 0. Let n = 15 - u. Suppose -h + 2*j = -8, -h + 3 = -j - 1. Solve -5*m + 21 = -h*b + b, n = -3*m - 5*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -3)*(912\/560)\/(-19)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2 = -7784*a + 7783*a, 5*s = -5*a + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -163b?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.817 - -4?\nAnswer: -117.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (26 - 4) + (-270)\/(-96)*-4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 4. Let v be l(-1). Suppose -1753 + 308 = -5*m - v*j, 283 = m + 4*j. Let r = -132 + m. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3612*f**3*z**2 + 167*f**3 + 6*z wrt z.\nAnswer: -7224*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492055907?\nAnswer: 3, 6199, 80231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14926*f - 4390 wrt f.\nAnswer: -14926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 + 6*t**5 + 4*t**5 + (-2*t - 2*t**3 + 2*t)*(-3*t + 3*t + t**2) - 3*t**5 + 2*t**5 - 3*t**5.\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-1)*14\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -42. Suppose -4*o - q*y - 120 = 0, 5*y = -2*o - 46 - 30. Let p = 30 + o. What is the greatest common factor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(10\/7)\/p)\/(p*p**(-18)*p) assuming p is positive.\nAnswer: p**(129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 33?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3940 and 4060?\nAnswer: 799820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, f: 4, r: 3, o: 1}. What is prob of picking 1 o and 3 f?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*v**2*z**5 - 2*v**2*z - 6*z**6 - 98*z**2 wrt z?\nAnswer: -1620*v**2*z**2 - 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**2 - 52060335*f + 52060340 = 0. Calculate f.\nAnswer: -10412068, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(30\/5))\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*k - b, 0 = -4*k - 22*b + 23*b + 24 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.59 in -2\/13, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 687502?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11605*h**6 - 3*h**5 + 220*h**2 - 8*h + 7 wrt h?\nAnswer: -1392600*h**3 - 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1334)\/(-319) + -4)\/(2\/297).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3084 and 2373408?\nAnswer: 609965856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8732247 + -13159497199\/1507. Let s = y + 1\/137. Calculate the common denominator of s and 79\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2975 is divided by (-1598)\/(-85) - 44\/(-20).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002201 (base 3) to base 12.\nAnswer: 56a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -943347.\nAnswer: 1\/314449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -194, -56, -2, -1, 2\/3 in decreasing order.\nAnswer: 2\/3, -1, -2, -56, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(9072)*-1 + sqrt(9072) - sqrt(9072))*-5)\/((sqrt(2178) + (sqrt(2178)*-1 - sqrt(2178)))\/(6*sqrt(8) + sqrt(2))).\nAnswer: 4680*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cc4 + -3c?\nAnswer: -d11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260 is divided by 415?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5 + sqrt(33)\/sqrt(3))**2 + 0)*-1 - (3*(sqrt(121)*3 + sqrt(121)) + sqrt(121))\/((sqrt(11) + sqrt(77)\/sqrt(7))*-4).\nAnswer: -72 - 147*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9 = l, -5*a - 33 = -0*a - l. Which is greater: a or -16\/3?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 121501.\nAnswer: -7\/121501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001264813 to seven decimal places.\nAnswer: 0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Let z be 12\/8 - p\/(-2). Suppose z*v - 26 = -5*u, -2*u + 21 = 5*v - 35. Calculate the lowest common multiple of v and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*x + 776505, 2*l - 47*x = -49*x + 310594. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100*b**2*f**2*z**2 + b**2*z - 3*b*f*z**2 + 14*b*f*z + 20*f**2*z**2 - 744*f wrt f?\nAnswer: 200*b**2*z**2 + 40*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*b - 21774 = 55*b + 37782. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 16*j**2 - 127*j - 35. Let w be n(8). Is w >= -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 421716657*b**2 + 279*b - 331075 wrt b.\nAnswer: 843433314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 9:00 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -13, 20, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9325 greater than or equal to 9321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 12, 4*w - 40 = -47*s + 43*s for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*d**4 - 52*d**2 + 19 + 52*d**2 wrt d.\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128679345 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16768, -67066, -150896, -268258, -419152, -603578?\nAnswer: -821536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y + 15. Determine n(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 2643520?\nAnswer: 2643512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8702500 divided by -10\nAnswer: 870250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 62\/(-8) + 4\/(-16). Let g be 4\/z + (-1)\/(-2). Suppose 5*j + g*j - 20 = 0. Calculate the remainder when 7 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6346.8 + 6346. What is the second biggest value in 0.2, a, -44, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oood when four letters picked without replacement from oood?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5697 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-8 + (3 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {s: 2, x: 1, b: 14, r: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - t. Let j(k) = -5*k**3 - 7*k**2 + k - 9. Let v(u) = -j(u) + 6*w(u). Determine v(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/6 + 12*p**3 + 1583*p**2\/6 + 1722*p - 1998.\nAnswer: (p - 1)*(p + 18)**2*(p + 37)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -372846c?\nAnswer: -3728471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 718813\/100 - 179697\/25. Let k = -0.019 - -23.019. Suppose 0 = -2*i + 4*i + 2. What is the third smallest value in i, k, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*t - 4*z + 20, 2*z = t - 15. Suppose -114 = t*q + q. Let o = q - -21. Solve -o*u - u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*k - 52*k - 76. Calculate the remainder when k is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100530 + -5?\nAnswer: 100521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abibbibbaixbabbbx. What is prob of picking 2 b and 1 x?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25516*a - 59739 with respect to a.\nAnswer: 25516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -813.00337 - -813. Round x to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - -2*sqrt(228)*-3)*2*-3)\/(sqrt(768) + 4*sqrt(768) + (sqrt(12) - (sqrt(12) + sqrt(72)\/(sqrt(6) - sqrt(6)*-4)) - sqrt(12))).\nAnswer: 75*sqrt(19)\/97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3491839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:12 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85969 - 55224. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 48. Let w be (-2 - -6)*(-3)\/36*-6. Sort r, w, 3 in descending order.\nAnswer: r, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 238\/5 + -47. Let y = -219\/5 - -22757\/540. Let t = -1\/108 + y. What is the biggest value in t, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from wewwa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3138 divided by -47008.\nAnswer: 1569\/23504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16511827 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 124, 128, 132, 136?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2657319404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -14\/151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*u = 58*u - 3, 3*u = -3*n + 157080. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(195*f - 451*f**3 + 468*f**3 - 200*f - 325*f**2) in the form j*f**2 + a + k*f**3 + q*f and give j.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + -1 + 27 + -13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -3 - (2 - 1). Suppose p*r + 53 = 3*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 21*r - 11 - 13*r + r**2 - 2*r**2. Let m be d(6). Find the second derivative of 10*h - 1 + 4*h + 5*h**3 + m wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8557345619 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191726 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 447873 + -2?\nAnswer: 447871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*y - 103 - 665 = 151*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 19*b - 40. Determine o(0).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 243\/(-405)*1822970\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4181514 to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 3*f**2 + 5*f + 8. Suppose 0 = -3*l - 2*a - a + 57, 19 = l + 2*a. What is the remainder when o(-5) is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4606569\/(-144096) + 3*128\/12?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146432 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-803)\/66 - (-1)\/6 - (-25 - -32).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 48. Suppose -r + h = 2*r. Solve 0 = 3*k - 0*k - 3*s - r, 3*s + 18 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199357099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13606536 to the nearest integer?\nAnswer: 3689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -415 >= -419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7167, 57333, 193511, 458709, 895935, 1548197, 2458503?\n\"Answer: 7168*l**3 - 2*l**2 - 4*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 864 - 862. Solve 25 = -5*p, -3*p - p = -g*w + 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-28))\/((-2)\/2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(2*x + 2 - 2 + 3*x + 3*x - 4*x + 1 + x - 1 + (-x - 3*x + 2*x)*(-5 + 3 + 3) - 5 - 2*x + 5)*(-4*x**2 - 3*x**2 + 5*x**2).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -35. Let c be -7 - -7 - (p + 1). Suppose c*m - 2*m = -3*r + 1490, 5*m + 2475 = 5*r. Round r to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*c**2 - 50*c**2 + 21 - 40*c**2 - 39*c**2 + 214*c**2 - 43*c**2.\nAnswer: 2*c**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 20 + 17 = z, 3*v - 84 = -3*z. Is z > 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13819.000087486 - 13819. Round a to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f + 0*f + 2*f. Let p(h) be the second derivative of -h**4\/24 - h**2\/2 - h. Let u(l) be the first derivative of p(l). What is b(u(g))?\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -348, -98, 152?\n\"Answer: 250*x - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + -8 + (-21 - -20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s + 955. Calculate q(-53).\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccuucuuu. What is prob of sequence uu?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2732242.\nAnswer: 2, 1366121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -2*q - 16, 4*q = 2*m + 5*q - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -7. Let f = i + 39. Suppose 4*m = 5*m + 4*l + f, -16 = 4*m + 5*l. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**5 - 222586*x**4 - 13*x**2 + 4*x - 19853 wrt x.\nAnswer: -180*x**2 - 5342064*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11021221 + 43?\nAnswer: -11021134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1199 + -1190. Let w = 138 - 1792\/13. What is the nearest to g in 5, -1, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 7\/5, -5, -3\/623, 11?\nAnswer: -3\/623","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dww when three letters picked without replacement from {d: 3, t: 1, w: 12}?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 204220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1645 + 4?\nAnswer: -1641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (2 + ((5*(3 + sqrt(343) - sqrt(343)))**2 - sqrt(343))*4)*3 + 5.\nAnswer: -84*sqrt(7) + 2702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*n = 81*n + 14 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - -743?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - -4*(sqrt(65) + -3*sqrt(65) + sqrt(65))) + sqrt(65) + -5*(2*sqrt(65) - sqrt(65)))\/(1*sqrt(1620) + -3*sqrt(20)*2))**2 + -5.\nAnswer: 457\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -2*u - 44, 7 = -120*u - 116*u + 232*u + k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43a4 (base 13) in base 8?\nAnswer: 22325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.61 - 15.61. What is the nearest to -0.9 in -4, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101 + 0?\nAnswer: -1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9 = 3. What is the third derivative of -3*w**3 - w**o + 0 + 0 wrt w?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18827028 a multiple of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 426 divided by 4\nAnswer: 213\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(13*d - 9*d + 6*d).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 17956513\nAnswer: -17956514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + (-24 - -44 - 27).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24335 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -10555?\nAnswer: -10554.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (8 + -8 + 13)) + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 46 = 3*k. Suppose 10*l - k*l = 47600. Round l to the nearest one thousand.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 87*3\/9. Suppose -6*s = n - 41. Solve 0 = 3*l - s*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 - 4*b. Let t be w(3). Let j be (-16)\/(-9) + (-2)\/(-9). Suppose -4*u = -4, -g + j*u = -u - t. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let q(l) = -l**2 + 6*l - 1. Determine q(p) + 6*u(p).\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7106 and 19382.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*z**4 - 551*z**3 + 551*z**3 + 28*z**4 - 373*z**5 + (-1 + 0 + 2)*(2*z**3 - 2*z**3 - z**5).\nAnswer: -374*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l + 4*b, 0*l - 2*l + b = -1. Suppose l = 2*w + 9 - 37. What is the least common multiple of (-36)\/(-21)*w\/4 and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 443808 and 1840?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12659663 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 6. Let j = -98 - -50. Let q be 16\/j - 7\/(-3). Solve -q*m = u*z - 20, -10 = -4*z - 3*m + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 1, n: 2, m: 1, q: 2, p: 1}. What is prob of sequence pbx?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 9*a - 30. Let n be q(-7). What is the remainder when (-34)\/(0 - (0 - -1)) is divided by n\/(-28) + (-80)\/(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p - 12 - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3*1\/1)\/((-93)\/58156). Round t to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(595\/(-340)*(-4)\/4*(-12)\/(-7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3 + 772*y**2 - 37632*y + 36864 = 0 for y.\nAnswer: 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, d: 1, x: 1}. Give prob of picking 1 t, 1 x, and 1 d.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:38 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110100100111011110 - 100?\nAnswer: -1101110100100111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 2. Let a be p(-7). Let j(f) = 0*f + 2*f - a*f. Let h(x) be the third derivative of -x**4\/12 + 3*x**2. Determine j(h(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25146 by -2286.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmbbbbttcmkcbbm. Give prob of sequence bcc.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 12:20 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -18*b**2 + 2*b + 2. Let w(n) = 36*n**2 - 5*n - 5. Give 5*h(p) + 2*w(p).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.57 to zero decimal places.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 88 = -2*d. What is the remainder when d is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 20 = 2*c - 2*d, -4*c + 4 = 4*d. Suppose 2*s = 3*n - 2*s - 2996, -c*n - 4*s + 4032 = 0. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -49. Suppose 0 = 2*w - z - 10. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (10 - (-3 + 18)) - 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1a7b0b4 (base 12) to base 16\nAnswer: 5609c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**5 + 2*j**5 + j**5 + (-5*j**5 + 5*j**5 + 5*j**5)*(-4 + 3 - 3))*(-4 + 4 - 3).\nAnswer: 66*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1024 and 18584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 245105.\nAnswer: 2696155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1\/((-18)\/14).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5480 not equal to -1\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*l = 3952, -z + 2*l + 824 = -168. Is z a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54986 or 54987?\nAnswer: 54987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**8\/12096 + 17*f**7\/1512 + 289*f**6\/432 - 3*f**5\/20 - 124*f**2. Let j(t) be the third derivative of p(t). Factor j(h).\nAnswer: 5*(h + 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 577, 576, 575, 574, 573?\n\"Answer: -t + 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 2*b - 4. Let r be t(-5). Let q(c) = r*c**2 - 22*c**2 + 9*c**2. Let f(w) = -11*w. Determine f(q(i)).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 371 divide 189508788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -1, -3\/4039, 3?\nAnswer: -3\/4039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a day in hours?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.058 + -9.158. Let c = 9 + o. Let j be (2\/8)\/(7\/(-4)). What is the second smallest value in j, 2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 54\/14 - (-14)\/98. Let u be 0\/(p - (5 - 2)) - -13. Let a(g) = 2*g**2 + 2*g + 1. Let w be a(-3). What is the highest common factor of u and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6*x = 50. Calculate the highest common factor of 20 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 823837287 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -17 (b) 2\/7 (c) -5 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, 19, 53, 91, 127, 155, 169?\n\"Answer: -d**3 + 11*d**2 - 2*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -0.364, -0.5?\nAnswer: -0.364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 + -53. Let d(h) = -h + 52. Let w be d(-20). Suppose s - 20 = -2*s + 4*f, 3*f - w = -5*s. What is the remainder when i is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -4\/63 (c) -7 (d) -33\/2 (e) 3\/2 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {d: 14, c: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 - 2*u**2 + 7*u**2 + (-2*u + 5*u + 4*u)*(3*u + 3 - 3) + 7*u - 8 - 5 + 2*u**2 - 8*u to g + p*u + k*u**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261504*-807.\nAnswer: -211033728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -642724 (base 8) to base 12\nAnswer: -a4158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545120.\nAnswer: 2, 5, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/4 of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a + 64 = 11*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 3*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-65*s + 161 - 161)*(34*s - 68*s + 26*s + 19) as b*s + w + m*s**2 and give b.\nAnswer: -1235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1233 greater than -1230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*f = -224. Let i = f - -547. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*g + 11*g - 6 - 137*g to the form q*g + k and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 + -152. Let t = 5 + -5. Let n(f) = -f**2 - 3*f + 6. Calculate the smallest common multiple of k and n(t).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 9*f + 15. Let t be l(3). Sort 6, t, -0.3 in ascending order.\nAnswer: t, -0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435.1477 millimeters to centimeters.\nAnswer: 43.51477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -4, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -37635 smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 39304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/21*26\/((-676)\/(-91))*(-42)\/(-28)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngna when four letters picked without replacement from lanang.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 938325 = -5*r + 202240, -2*p - 5*r + 456238 = 0. Suppose -2*w = -477397 - 698821. Let x = p - w. Round x to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*v**2 - 590582*v - 5035586 wrt v?\nAnswer: -8*v - 590582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 9:28 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*p + 85*p + 216*p - 151*p + 176*p)*(-5*p + 7 - 7).\nAnswer: -2115*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 2*z + 5*z)*(2*z - 5*z + 5*z) + 4*z**2 - 3*z**2 + 0*z**2 - 28*z**2 - 23*z**2 + 8*z**2.\nAnswer: -38*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x - 4 = 0. Suppose -3 = l - 4. Let c be (6\/4)\/((-3)\/4*l). Put x, c, 6 in descending order.\nAnswer: 6, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 5?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -1. Which is smaller: 15 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8080, -3, 3, 23, -2 in descending order.\nAnswer: 23, 3, 2, -2, -3, -8080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 15*v + 114. Let m(f) = -3*f - 23. Let h(p) = -2*a(p) - 11*m(p). Let z be h(-3). What is the greatest common divisor of z and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 + -50. Let o = l - -12. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113133032 - -11?\nAnswer: -113133021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p. Let t(m) = m**2 + 23*m. What is t(r(a))?\nAnswer: 16*a**2 - 92*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9674470?\nAnswer: 2, 5, 13, 74419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -420 - -422. Suppose j*i - 42*i = -29000. List the prime factors of i.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 - 0)*5\/5. Let c = m - -6. Let n be 42\/5*(259\/105 - (-4)\/(-5)). Put c, n, 4 in decreasing order.\nAnswer: n, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*o = o + 13, -c + 4*o + 14 = 0. Suppose -15*v = -12*v + 9. Let u = v + 9. Solve c*p - u = -0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2388, -2238, -2096, -1962, -1836, -1718?\nAnswer: -1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 154, 416, 804, 1330?\n\"Answer: 2*b**3 + 45*b**2 - b - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -159 + 611. Let n = -40 - f. What are the prime factors of n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5*m + 119 = 0, -16*o - 6*m + 30 = -15*o - 14*m for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 10. Let u be c(-7). Suppose 12*h + 77*h = -57 + 235. Solve u*w + 4*s = h, -2*w + 4*s + 4 - 16 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8611 divided by -79?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j. Let a = -22 + 16. Is o(a) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-24 - -51) + -46)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/8 - (-177)\/(-1180). Let i(w) = -w + 9. Let l be i(9). Is v smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6608\/36465 + 2\/3315. What is the fourth smallest value in -2, 2\/15, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven fifths of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*d**4\/3 - 11*d**3 + 13*d**2 - 7*d\/3 - 2 = 0. Calculate d.\nAnswer: -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 14 = 2*j, 5*y - 8*y - 12 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) 0.1 (b) 732 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*p - 14 = -2, 0 = -2*k + 5*p + 21. Suppose k*v - 22 = -10. Suppose 0 = -2*x + 2*t + 6, 0*x - 2*x = v*t - 24. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 16*g**2 + 30*g - 22. Let a be b(14). Solve -a*h + 3 = 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246805237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 - 2 = 0. Solve x*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18048 divided by -4\nAnswer: 4512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 19*a**2 + 17*a - 11. Let o be z(-18). Suppose -q - 408 = -o*q. Calculate the remainder when q is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(84)\/sqrt(6))\/((sqrt(2) - (sqrt(18) - sqrt(2)))*4).\nAnswer: -1 + sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3666987.\nAnswer: 3, 47, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*d - 2*d - 30, 0 = -t - 2*d + 6. Let r be (-4)\/(-10) - 18\/(-5). Let b = t - r. 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 hundred millions digit of 371721354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.51 and 8129?\nAnswer: -4145.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 87 = -21. Let a = -21 + 34. Suppose j*w = a*w - 121. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 15. Let c be 12\/(-18) - 444\/(-18). Give y(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 759233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 o when three letters picked without replacement from {x: 6, o: 5, h: 2}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 16*j**2 - j. Let b be s(1). Suppose -t - 2*t = 4*q - 26, q - b = -5*t. What is the closest to t in -0.1, 2\/21, 5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -10. Let w be 2\/(-4) - 12\/(-16). What is the closest to -0.1 in w, -5\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4744 (base 11) to base 8\nAnswer: 14113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/14)\/(4\/(-14)). Suppose -2*f - 1 = x, 2*y + 5*f - 48 = 0. Calculate the greatest common factor of y and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -12. Suppose 15 = 3*w - n. Solve 0 = 2*v + v + w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - o + 40, -21 - 17 = -y - 2*o. Which is the fourth biggest value? (a) y (b) 0.1 (c) -4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-301 - (-500 + 202) - (0 + 1 + -113))\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**3*g**4 - 57*a**3*g**3 - 46*a**3*g - a*g**2 wrt g.\nAnswer: -120*a**3*g - 342*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(3\/(-36)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12279*y + 109107*y + 37911*y.\nAnswer: 134739*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**2 - 5*q - 3. Determine b(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 26 - 6. Let p be ((-8)\/6)\/(2\/12). Let k be (p\/(-6))\/((-4)\/(-2)). Which is smaller: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.35 + 1.35. Let c be (3\/(-20))\/((-81)\/(-72)). Sort -5, -0.24, c, s in increasing order.\nAnswer: -5, s, -0.24, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3948 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/34, 5\/4.\nAnswer: -2, 1\/34, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -708.\nAnswer: 283.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1259*p**2 + p**3 + 1261*p**2 + p + 8 - 22 + 3*p**4 to the form l + a*p + t*p**4 + z*p**3 + r*p**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -o + 3*o. Suppose 2*d - 5*d - 242 = m, -5*m = -d - o. Let f = -51 - d. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35324421 take away 0.05?\nAnswer: 35324420.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 384*u. Let k be y(-1). Suppose -2006 = 7*l - 326. Let x = l - k. What is the greatest common factor of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319563.\nAnswer: 7, 131, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, v: 2, s: 7}. What is prob of picking 1 v and 1 y?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 + 576 = -3*f + 9*x, -4*x + 186 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -14*h + 12. Let i(t) = -t + 1. Give d(w) - 12*i(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 597.614 years in months?\nAnswer: 7171.368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 0.23, 4\/7, -1\/4, 2\/15 in increasing order.\nAnswer: -1\/4, -0.01, 2\/15, 0.23, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 19*v - 74. Determine j(13).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 612.5, -1\/6, 0, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**1\/v*v))**(-16\/3)*(v*v**(-2))**17)**(-7) assuming v is positive.\nAnswer: v**(245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 388 or 407?\nAnswer: 388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2225 - 2250 - (-7 - -1 - -2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726250 is divided by 242079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4553b (base 13) to base 15\nAnswer: -27584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 15*o**2. Let f be n(-15). Suppose -x - 3*u = -2, f = 5*x - 0*u - 2*u - 27. Suppose -4 + 1 = 3*l. Put 9, x, l in ascending order.\nAnswer: l, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 times -0.4?\nAnswer: 133.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**2 - 38*u**2 + 8*u**2. Let p(r) = -r. Determine p(f(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25457 or -25459?\nAnswer: -25457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 14*t + 17. Let l be d(-15). Suppose z - k = l*k - 12, 28 = z + 5*k. Suppose -128 = -z*v + 337. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 69676, 69285, 68894, 68503, 68112, 67721?\n\"Answer: -391*d + 70067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*x - 0*x. Let n(w) = w**3 - w**2 - w + 3. What is the remainder when (48\/(-8) + (-86)\/(-3))*3 is divided by n(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 g when three letters picked without replacement from wqgwvwqqwgc?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 = 91*q - 151*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*s - 84*s = -84. Solve 95 = 12*d + s*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-17) - 10868\/2992)*-20. Calculate the greatest common divisor of v and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2811\/124 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**2 - 4196*b = 0. What is b?\nAnswer: 0, 1049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*y**2 + 8 - 34\/13*y.\nAnswer: 2*(y - 13)*(y - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57441297, 57441294, 57441291, 57441288, 57441285?\nAnswer: 57441282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*v + 40 - 122 = 0, -4*g + 303 = 3*v. Let h = -5 - g. Let t = h - -25. Round t to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.3 + -9. Which is the second smallest value? (a) y (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 + 0 = 0. Suppose 0 + 2 = -m*u - 2*i, 0 = 5*u - 4*i - 4. Let h = -1003\/7 - -143. Are h and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**2*t**3 + 13*i**2*t**2*u**3 - 2*i*t**3*u**3 + 61*i*t**2*u + 2*i*u**3 - 1345*t**3*u wrt t?\nAnswer: -6*i**2 - 12*i*u**3 - 8070*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3738455987?\nAnswer: 7, 37, 107, 277, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 817661 greater than 817232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)*f)\/(f\/(f*f**(1\/18)))*f**0*f\/f**(-5)*f assuming f is positive.\nAnswer: f**(689\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.02, 0, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/1515 in 5, -12, -2, -15, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -24. Let f be (1 - (-3)\/(-6))*-4. Let m be (f + 4)*6\/(-28). Sort m, q, 2 in descending order.\nAnswer: 2, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 31. Let i = k - 20. Suppose -3*u = -i*u - 153. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/(-22))\/((-9)\/12) and -33\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33926 + 33928. Let h be ((-2)\/(-3))\/((-10)\/6). Which is the nearest to 0? (a) m (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 38*f + 4. Let p(s) = -1. Determine 2*p(t) + w(t).\nAnswer: 38*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from nyywnnnwnnlqynnynnw.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 2*q = 18. Suppose -g - 12 = q*g. What is the smallest common multiple of 11 and 0\/2 - (g - 3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 16865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - 66. Let y(c) = -9*c**2 + c - 3. Let o(p) = 5*p**2 - p + 1. Let q(r) = -11*o(r) - 6*y(r). Let f be q(6). Sort f, s, -1 in descending order.\nAnswer: f, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6 - -20)\/(1*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - o - 4*o + 29 = 0, 3*x + 2*o = 22. Suppose -f + 3 = 2*z, x*f + 23 + 1 = 4*z. Factor -r**3 + 0*r - r**z - 2*r**2 + 4*r.\nAnswer: -2*r*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p. Let r(b) = -14238291*b. Determine r(y(u)).\nAnswer: -28476582*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -3. Let h = 10 + -9. Suppose -t + 5 = h. Solve 0 = 3*q - 4*c + 16 - v, 0 = t*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3394 + -1394. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b05c (base 13) to base 16.\nAnswer: -ce45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/186630 and 67\/373260.\nAnswer: 373260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2)**(-17)*(p\/(p*p**10)*p)\/(p\/(p**(-4)*p)))**5 assuming p is positive.\nAnswer: p**(-235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19339 and 173119.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 22957540.\nAnswer: 1\/5739385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*j**3*n*s**2 + 5631*j**3*s*v**2 + 7*j**2*n*s**2*v**2 + 4*j**2*n*s**2 - 47*n*s**2*v**2 wrt j.\nAnswer: -72*n*s**2 + 33786*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(5)*-4 - (-5 + sqrt(25)\/sqrt(5)).\nAnswer: -17*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4*x - 44 = 0, -20*k + 17*k + 2*x = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 38. Give c(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, -5, 0, 17, 52, 111, 200, 325?\n\"Answer: w**3 - 3*w**2 + w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 12:06 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, -1, -71, -167, -295?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34661453, 2, -3.\nAnswer: -3, 2, 34661453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30\/13 - -296\/117. Let r = 45.6 - -76.4. Let q = 138 - r. What is the second biggest value in -0.2, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**5 + 1176*l**4 + 77140*l**3 + 1181664*l**2 + 3962992*l - 13288704 = 0. What is l?\nAnswer: -208, -66, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 47. Let a(h) = -h**2 + 2*h. Let i be a(q). Calculate the remainder when 57 is divided by -3 - -5 - (-8 + i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 91, 217, 395, 619, 883, 1181?\nAnswer: 1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1029479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 839, 1052, 1265?\nAnswer: 1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p*v**2*z - 2*p*v*z**2 - 2*p*v*z - 1300*p*z + 3021*v**2*z**2 - 22*v**2*z - 240*v*z**2 - 67*v*z wrt z?\nAnswer: -4*p*v + 6042*v**2 - 480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*x - 27 + 53 + 46 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/98)\/(27\/(-189))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 467 - 165. Suppose -c + s = 8. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 18. Let h = -20 - w. Let p = 10 + h. Put p, -4, 2\/11 in increasing order.\nAnswer: -4, p, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-194 - -92) + 102 + -1 + 1 + -4 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/2*(-336)\/120. Let o = c - 18. Let z(u) = -u**3. Let r(i) be the third derivative of -i**6\/60 + 7*i**2 + 3*i. What is o*r(y) + 10*z(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2927550898.\nAnswer: 2, 1063, 1377023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6831924 divided by -6?\nAnswer: 1138654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 55 = 3*c + 3*m, 4*c - 3*m = 44. Suppose 1288 = -10*r + c*r. What is the tens digit of ((-3)\/(-2))\/(21\/r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-8))\/(4\/48). Let d(w) = 3*w - 1. What is the smallest common multiple of 22 and d(y)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + -162. Let n = a + 272. Suppose j - 3*j + 56 = 2*s, -5*s + 3*j + n = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -1.03?\nAnswer: 2.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/4)\/((-8)\/(-16)). Calculate the highest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -25*z - 1. Let t(b) = 9*b**2 - 6*b. Let r(c) = 19*c**2 - 13*c. Let i(p) = 6*r(p) - 13*t(p). Give i(g(f)).\nAnswer: -1875*f**2 - 150*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c**(4\/11)*c))\/c**(2\/19))**(-14))**14)**(4\/3) assuming c is positive.\nAnswer: c**(76832\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*p**2 + 269*p**2 - 1 + 80*p**2 in the form i*p**2 + y*p + v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 544a (base 14) to base 5\nAnswer: 431240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29934 + 29949. Let v = -14 - -24. What is the greatest common factor of f and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**7\/315 + w**5\/60 + 3*w**4\/4 - 9*w. Let d(t) be the third derivative of s(t). Differentiate d(g) wrt g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130086 is divided by 315?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4\/2 - 15*w**3\/4 + 5*w\/4.\nAnswer: 5*w*(w - 1)**2*(2*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*p + 0*p = 10, 2*o - 20 = 5*p. Suppose 0 = -d + 1, o*d + 5 = 3*b - 2. Let k = 68 - 17. What is the remainder when k is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -121*m + 2704. What is f(20)?\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 1717069381426.\nAnswer: 1717069381425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 10:22 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9368.36t?\nAnswer: 9368360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 15 = f. Suppose 4*i = 4*d - 52, -d + f*i = -2*d + 21. Let h = 385 + -370. What is the greatest common divisor of h and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 1. Let m(i) = -4*i - 12. Let x(q) = -q + 1. Let a(b) = -m(b) - 6*x(b). Determine a(z) - 6*o(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3253514 is divided by 463?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 4*k + 3*k)*(-3 + 3*k + 3) + (-3 + 3 - 2*k**2)*(-1 + 0 + 3).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302.75*-2.\nAnswer: -605.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -5, 0.1237, 2\/9?\nAnswer: 0.1237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((17 + 11 - (8 - (-4 - -4))) + -1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360701 - -3307?\nAnswer: 364008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*i*x**2 + c**3*x - 3*c**2*x**2 + 52*c*i*x**2 + 2*c*i + 443*x wrt x?\nAnswer: -2*c**3*i - 6*c**2 + 104*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - 6*z + 3*z + (z + 2*z - 21*z)*(-2 - 4 + 7).\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5158\/395, 5, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0 + 2. Suppose 2*r - q = -2, -3*r + 6 = t*q + 2. Factor -f**2 + 4*f - f**2 + r*f.\nAnswer: -2*f*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.3.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3*w - 3*w)*(-6*w + 20*w + 4*w)*(-129 + 250 - 160).\nAnswer: -702*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsswssss. What is prob of sequence swww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, r: 4, g: 1, c: 2}. Give prob of picking 1 r and 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-60))\/((-8)\/30*3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 8 = 0, 3*r = 2*r + 3*s + 8. Suppose -4*o - 6 = -q, 15 = q - r*q - 3*o. Let l be ((-2)\/(-3))\/(q\/279). What is l rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-4)*29\/(-1305)*-18?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 65*z - 111. Does 16 divide c(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 12*v**3 - 712*v**2 + 10084*v. Let n(x) = -4*x**3 + 238*x**2 - 3361*x. Let d(o) = -3*l(o) - 8*n(o). Factor d(k).\nAnswer: -4*k*(k - 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50401.\nAnswer: 13, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(288\/(-135)))\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 364571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120 is divided by 302?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 434859*l**3 + 339085*l wrt l.\nAnswer: 2609154*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2593 - 131*q**2 + 2593)*(4*q**2 + 0*q**2 - 5*q**2).\nAnswer: 131*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 82. Let a be x(-37). Let l be ((-201)\/10)\/(-3) + 54\/108. Which is greater: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxnnisviixivaax. Give prob of picking 1 i, 1 a, and 2 x.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 13 = -12*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18c34 - -5?\nAnswer: 18c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40, -116, -234, -394, -596, -840?\n\"Answer: -21*h**2 - 13*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 0. Let u = 27374 - 27360. Solve p + u = 7*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = -g + 40, 48*n = -3*g + 51*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, o: 1, h: 1, v: 4, m: 2}. Give prob of picking 1 o, 1 h, 1 m, and 1 k.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 2. Let u(v) = -23*v**2 + 2*v - 12. What is 5*r(o) - u(o)?\nAnswer: 23*o**2 + 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d*s**2 + 2*d*s*w**2 + d*s - 2*d*w + 2*s**4*w + 2*s**2*w**2 + s**2*w - 8*s*w**2 wrt s?\nAnswer: 8*d + 24*s**2*w + 4*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*s**3 + 214*s**3 + 195*s**3.\nAnswer: 73*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(504)*-4)\/sqrt(8).\nAnswer: -12*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 1. Let x(i) = -2*i**2 + 2 - 3*i - 1 - a. Let t(u) be the second derivative of 7*u**4\/12 + 11*u**3\/6 + 11*u**2\/2 - 1100*u. Give -6*t(c) - 22*x(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3801608 and -44\/85.\nAnswer: 19008040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 5 (b) -0.1 (c) -3\/8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 8*o + 9. Let j be k(7). Suppose 0 = -g - j*g - 3*i - 21, 4*i = 5*g - 10. Let w = 6 + g. Solve 0 = -w*v + 2*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13830?\nAnswer: 2, 3, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109053\/3520 + -340\/11. Calculate the common denominator of v and -52\/3.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 320 (c) -214157 (d) 3\/4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30192\/153*9*68\/48 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 207 - 78. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 1107?\nAnswer: 1107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2\/9))\/(s*s*s**10)*(s**2)**(-32))**(-3\/2))**(-29) assuming s is positive.\nAnswer: s**(-19633\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1479, -0.01, -5, -0.1 in descending order.\nAnswer: 1479, -0.01, -0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2670, -4489, -6306, -8121, -9934, -11745, -13554?\nAnswer: -15361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60.02 + -10.88. Let m = -71 - s. Let q = 0.2 + -0.15. Which is greater: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 10725.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*d - 2 = 3*d, -5*s = -3*d - 21. Solve -6 = s*w - 2*f, -f = -6*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.7, -1, -19, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -740 or 4?\nAnswer: -740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + (3 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-9))\/(107\/2247). Let u = 11 - 7. Let h = -23 - -28. Sort u, m, -3\/4, h in descending order.\nAnswer: m, h, u, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmp when three letters picked without replacement from {f: 1, m: 4, e: 1, p: 5}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2696847 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25630 = 661*x + 149 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14 and 2141020.\nAnswer: 2141006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4408*o + 61715. Calculate c(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020101 + 2?\nAnswer: 12020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4\/r**(1\/4)*(r*r**(-3\/8))\/(r**7*r) assuming r is positive.\nAnswer: r**(-29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*z - 2*q + 5, -3*z - 3*q = -3. Is 2 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 114072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*k = -6, -9*v + 3*k + 12 = -4*v. Suppose -2*w = -2*l - 13 + 9, v*w + 5*l = 6. Solve 11 = 4*t - 4*s + s, 3*t - w*s - 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 781*v**2 - 781*v**2 + 3*v**3 - 4*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from coddrdtoddorbobo.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 22374.53 days?\nAnswer: 32219323.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -4. Let m = f + -1. Calculate the common denominator of -89\/8 and (-4)\/m + 189\/24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*b + 625 = 2*b, -4*b = 0. Let v(u) = 239*u**2 - 4*u + 5. Let x be v(1). Let i = x + p. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28.4 - 31. Let y = 3 + c. Let f be 96\/(-198) - (-4)\/6. Sort y, 3\/5, f in descending order.\nAnswer: 3\/5, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjttqjwo. Give prob of picking 1 q, 1 t, and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = -4*o + 4*t, 11 = o + 4*t. Which is the biggest value? (a) -0.5 (b) o (c) 1\/8 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1066816510 divided by 5563\nAnswer: -191770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57, 130, 217, 324, 457, 622, 825?\n\"Answer: i**3 + i**2 + 63*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8158 is divided by 8102.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 15 + -8 + -3 + -9 + 15 - 45\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 3*f + 8. Suppose 2*z**f + 3*z**5 + 0*z**5 - 4*z**5 - 2*z**4 + z = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t. Let h(r) = 5. Let y(i) = 11*i + 10. Let u(a) = -2*h(a) + y(a). What is b(u(f))?\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -9560.\nAnswer: -9560, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(0*j + 2*j - 5*j)*((2 - 5 + 1)*(-1 - 1 - 2) - 15 + 47 + 178 + (-1 + 5 - 1)*(0 - 2 + 1)).\nAnswer: 645*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/227 and -30\/54253.\nAnswer: 54253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 27*m - 24. What are the prime factors of u(14)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*1 + sqrt(252))\/sqrt(4) - (1 + sqrt(700) + -1)**2.\nAnswer: -700 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 200*c**3 - 2*c**2 + 208*c**3 - 406*c**3 + 3*c**4 + c to the form w*c**3 + z + r*c**4 + f*c + o*c**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 31*u + 140. Let k be y(5). Calculate the highest common divisor of 2230 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 + 0*k**4 + 3*k**4)*(-35 - 14 + 8)*(-6 + 4 + 1)*(3*k + 2*k - 3*k).\nAnswer: 164*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - u + 13 = -0*u, 5*w - 15 = u. Suppose 1337 = w*b + 10*l - 15*l, b = -3*l + 313. Is b a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/309 (b) 0.7 (c) 3\/5 (d) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -10.37.\nAnswer: -10.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 14807?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {o: 6, g: 1, l: 10}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/10)\/((-17)\/(-153)))\/(120\/(-4600))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*a**5 - 2*a**4 - 26*a**2 wrt a.\nAnswer: 1800*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 43*i**3 - 3*i**2 - 3*i - 3. Let p(d) = -128*d**3 + 8*d**2 + 8*d + 8. What is -8*m(q) - 3*p(q)?\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 9*h**2 - 9*h - 7. Let c be p(10). Suppose j + 100 = -4*k - j, -2*j - 19 = k. Let q = c - k. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2406 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*sqrt(325).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, k: 4}. What is prob of sequence khh?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07845565? (a) 4 (b) -0.2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/203, -4, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 15*l + 15*l - 2)*(3475*l - 15 - 6988*l + 3479*l).\nAnswer: -1020*l**2 - 382*l + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80183920 + 80183920 - 16487*j to g + a*j and give a.\nAnswer: -16487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + sqrt(425) + -1 + sqrt(425)*-2 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 4 + (5 - 3 + 0)*(2 - 5 + 2) + 2 + 3 - 4 - 1 - 1 - 2)*(0*r**4 + r**4 + r**4) in the form f*r**4 + v*r**3 + n*r + y + m*r**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62969.76ug in nanograms?\nAnswer: 62969760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3403 + -1945. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.26, 1, 0, 20 in decreasing order.\nAnswer: 20, 1, 0, -0.26, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 - -2) + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 14, 1600*v - 2*u = 1603*v + 5. Let a(x) = 2 - x**3 - 6 + x + 2*x**3. Calculate a(v).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -525 (base 6) to base 11.\nAnswer: -16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*1723 + 4 + 2 + -10. Calculate the common denominator of -80\/21 and 4\/46 - (-5245)\/t.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9388147 + 5*p - 4694093 - 4694050.\nAnswer: 5*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/4 + (-5)\/(-20). Calculate the remainder when q\/(-4)*(9 - 1) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0322 and -0.8.\nAnswer: 0.02576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-14) + 1)*-7. Let a(m) = 24*m - 24*m + m**u. Let h(l) = 2*l - 15. Determine h(a(y)).\nAnswer: 2*y**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {s: 6, c: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -458649.\nAnswer: -11\/458649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38642.08 tonnes to kilograms.\nAnswer: 38642080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101202 (base 3) to base 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2. Let q(b) = 10*b. Let u(l) = l. Let r(c) = -6*q(c) + 52*u(c). Give r(i(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27088251?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(700) + -2 + sqrt(700) + sqrt(700))*-6.\nAnswer: -720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.26 + 0.76. Let h = 73 + -76. Let s = 113 - 793\/7. What is the closest to s in 3, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/45*3)\/(3\/(-12840)). What is the remainder when (j\/40)\/(2\/(-10)) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -629\/5, 0, 0.3, -2\/29, 0.5, 0.12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15\/(-2*(-1)\/2) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5784\/964*1\/1*4\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19920039*z**4 - 10480629*z**2?\nAnswer: 478080936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.1717 - -0.0283. Let r = m - 8.2. Which is the closest to -1\/3? (a) 1\/4 (b) -4\/3 (c) r (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*n = -3, 2*n + 104 - 4 = 5*l. Calculate the lowest common multiple of 16 and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2 + 10*z + 11. Let c be x(-1). What is the closest to 1 in 1\/2, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 8*p + 3. Let h be y(-9). Does 19 divide 3*(0 - h) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = 2*k + 295. Suppose -5*d - 5*i + 12590 = k, 2*d + 924 - 5978 = 4*i. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -868*x + 60. What are the prime factors of r(-1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(1*(-5)\/3)\/(-1). Suppose n*s - 23 = -m, -2*m - s = -0*s - 28. Solve -3*j + m = -3*b + j, 2*b + 6 = 2*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 + -14\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2783076?\nAnswer: 2, 3, 231923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-135*h + 2 + 70*h + 441*h)*(4*h + 2*h - 4*h) to v + b*h + c*h**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 1\/240*r**5 + 1\/8*r**3 + 1\/480*r**6 + 0 - 5\/96*r**4 + 12*r**2 + 0*r. Find m such that z(m) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123937298957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 1 - (1 - 2). Suppose 7*m = 4*m + 3. Find the first derivative of h + g - m + h wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337339?\nAnswer: 17, 97, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 137573230 and 23416720?\nAnswer: 1100585840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -4*z + 4, -417*z + 2*d = -412*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:42 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2, 5.9?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**5 - r**2 - r. Let u(l) = 7*l**5 + 8*l**2 + 7*l. Let h be (-1 + 7)\/(1\/(-4)). Let g(s) = h*j(s) - 3*u(s). Find the second derivative of g(x) wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 280186*j**4 + 194*j**2 + 121*j + 3594?\nAnswer: 3362232*j**2 + 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine halves of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/15)\/(1\/(-3)). Suppose 3 = 3*i, o - 2*i = 3*o - 26. Suppose 0 = n + 2*t, 5*t - 3*t + o = -4*n. Sort n, 3, z.\nAnswer: n, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2493 and -2542 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16020942*a**3 + 11008729*a?\nAnswer: 96125652*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 2)**2 - sqrt(50)*-1) + 4.\nAnswer: 41*sqrt(2) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4085*v**4 - 2*v**2 + 2*v - 650727 wrt v.\nAnswer: 16340*v**3 - 4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - b)*(-1507*b**3 + 1978*b**3 - 1755*b**3 - 2228*b**3 - 3404*b**3) to d*b + i*b**3 + p + s*b**4 + f*b**2 and give s.\nAnswer: 6916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154519 is divided by 30900?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/12*(24\/(-21))\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292442 divided by 6.\nAnswer: 146221\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61124 = -448*y + 151*y - 22927. Which is greater: y or -271?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -326, -321, -316, -311, -306?\n\"Answer: 5*z - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 bigger than 12439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 446609 = -230*v + 226*v, -4*z + 4*v = -357288. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, c: 3, d: 7, z: 3}. Give prob of sequence kzz.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, o: 4, q: 2, d: 1, p: 4}. What is prob of picking 1 d and 3 p?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) -8 (b) 2\/3 (c) 10 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -3. Let z = -0.001 + 0.001. What is the second smallest value in c, z, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) - 16\/(-12). Let h(j) = 4*j**2 - u*j**2 - 4*j + 4*j. Let x(k) = -4*k**2. Determine x(h(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7726390270 to the nearest one million.\nAnswer: -7726000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 9*r**2 + 0*r - 2*r - 6 + 6 to the form o*r + a*r**2 + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5536 = 713*u - 1971 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4*j - 2*j + (j - 2 + 2)*(1 - 1 + 1) + j + j - j + j - 2*j + 2*j)*(-6*j - j**3 + 0*j**3 + 3*j).\nAnswer: -4*j**4 - 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 99*p + 94. Let k be y(-16). Let s = 2145 + k. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((-49)\/(-126)*-9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = 0, 128 = 3*c - 0*c + 4*k. Suppose -86 = 3*p + 43. Let j = c + p. What is the closest to -2 in j, 4, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(35\/15)*27\/9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/3))**20 assuming l is positive.\nAnswer: l**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 143417, -1, 1, -25 in ascending order.\nAnswer: -25, -1, -1\/6, 1, 143417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**5\/60 - 545*z**2 - 10*z. Let x(o) = 76*o**2 - 27*o. Give x(k(u)).\nAnswer: 76*u**4 + 27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a meter in millimeters?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -46 - 18 - 405*u + 39. Let v be c(-7). Round v to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6) - 34\/(-132)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(-4)\/6*270\/63.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 275300 divided by 308?\nAnswer: 68825\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 915 and 44355.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/1*(42\/21)\/(2\/(-1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 74.8914 milligrams?\nAnswer: 0.0000748914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s - 13 = -4*t, 0 = 2*t + 5*s + 21. Suppose m - 65 = -t*k, 0 = -5*k - 2*m + 158 + 6. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 167, 86, -43, -214, -421, -658?\n\"Answer: g**3 - 30*g**2 + 2*g + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42 - 46 - ((-104)\/1)\/8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*n + 130737 + 48090. What are the prime factors of n?\nAnswer: 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {k: 2, i: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:45 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 3*v**2 + 3*v - 2. Suppose 2*j - 18 = 4*w - 6, -4*j = 8. Does 2 divide z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1, 1\/6, 12.36, -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**2 - 2*u + 2. Suppose 8 = -2*h - 2*m, m = -3*h - 1 - 1. Let s be b(h). Solve 0*z - 4*a = -2*z - 6, 0 = s*z - 2*a + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 6*y**2 - 6*y - 5. Let f be s(7). Let a(h) = 3 + h**f - 3*h**2 - 5*h + 3*h**2. What is the units digit of a(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/8)\/((-60)\/(-20))*2)\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 2*d - 40, 8*q + 32 = 6*q + 4*d for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 3*p + 2. Let i be t(0). Suppose -i*l + 8 = 2*l. Let v(g) = 16*g - 5*g - 11*g - g**l. Let w(z) = 14*z**2. What is w(v(r))?\nAnswer: 14*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 885004 = -3*i, 0*l = i + 3*l + 294997. What is i rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -16*z**3 - 41536*z**2 - 41524*z - 10380 = 0.\nAnswer: -2595, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5)*j*((j*j*j*j**4*j)\/j)\/j)\/(j**(1\/2)\/(j\/(j*j**(-3\/5)))) assuming j is positive.\nAnswer: j**(73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12835, 51625, 116533, 207769, 325543, 470065?\nAnswer: 641545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m**3 + 23*m**2 + 24*m + 13. Let z(i) = 7*i**3 + 22*i**2 + 23*i + 12. Let q(y) = 6*r(y) - 7*z(y). List the prime factors of q(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -496, -2090, -6420, -14854, -28760?\n\"Answer: -228*k**3 + 2*k - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - o**2 + o**2)*(-4 - 1 + 3) + 10*o**2 - 10*o**2 + 19*o**3.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/60*16*(-7)\/420.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*i + 159*i - 72*i - 94*i.\nAnswer: -87*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 9*d + 3. Let w be y(9). Solve 3*a + 4*f + w = -0, 0 = -4*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1149183*q**2 + 191232*q**2 + 1267252*q**2.\nAnswer: 2607667*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Round 774.82 to the nearest 10.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 4*b. Suppose 0*s - 2*s - 12 = 0. Let t = 4 + s. Sort t, b, -5 in decreasing order.\nAnswer: b, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/6 + 3\/(-9). Let s = b + -13\/12. Let k = -48.1 - -48. What is the smallest value in k, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 100*s + 1878. Calculate m(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143343133 + -31?\nAnswer: -143343214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105508 is divided by 4047?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3839.78 times -5?\nAnswer: -19198.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**2 - 126180*f + 11396700 = 0.\nAnswer: -25326, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 5*o**2 + 4*o - 1. Let p(c) = c**2 + 8*c + 8. Let x be p(-6). Let v be l(x). Which is greater: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + -3 - 2*1. Suppose -2*z - 2*q + 14 = 0, 11 = 3*z + 2*q - 8. Sort d, -5, z.\nAnswer: -5, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1091.6 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3\/5 + 333*z**2\/5 + 228*z - 9540 = 0. What is z?\nAnswer: -106, -15, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-102)*34*(-2)\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6633, -6635, -6637, -6639?\nAnswer: -6641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 21. Let x = -17 + w. Which is the nearest to 2\/3? (a) 5 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/15 and -73\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -27.03+2670\nAnswer: 2642.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j\/(j\/(j\/(j\/(j*(j*j*j\/(j\/(j**(1\/4)\/j*j))*j*j)\/j)))))\/j))\/j)**(-12\/11) assuming j is positive.\nAnswer: j**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2196896 rounded to the nearest 10000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 8*n**2 - n - 6. Let z be k(-8). Suppose -5*a - 11*w + 144 = -9*w, -z*w = 6. Solve 4*b - 25 = c, 3*c + a = -c + 2*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/9)\/(-1*(-8)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856644?\nAnswer: 2, 3, 71387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 419091 - -137.939.\nAnswer: 419228.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1 + 2)*(-30)\/(-50).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38278764 - -5?\nAnswer: 38278769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(1\/3))**8\/(z**(-5)*z**(-3))*(z*z**(-1\/6)*z)\/z**3*z**(-5)*z*(z*z**(-1\/5))\/z assuming z is positive.\nAnswer: z**(213\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 - 4)*(0 + h**3 + 0) as o + b*h**3 + m*h + y*h**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 + 0*z**2 + 0*z**2)*(-3 + 1 - 1) - 34 - 8342*z**2 + 33 + 8693*z**2 + z to j + t*z + w*z**2 and give w.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 - (-38)\/14. Let t = 68.26 - 67. Let x = -0.26 + t. Which is the third biggest value? (a) l (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -25. Let p(i) = i**3 + 2*i**3 + 3*i - 6*i - 5*i**3 + 5. Let z(a) = a**3 + a - 2. Give u*z(h) + 4*p(h).\nAnswer: 2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**9\/45360 + j**7\/7560 - j**4\/12 - 2*j**2. Let p(k) be the second derivative of d(k). Factor p(c).\nAnswer: -c**2*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j - 16. Suppose -5*h = -0*h - 40. Suppose -2*n + h = 0, 2*g - 7*g + 2*n = -47. Let q(l) = -l + 3. Determine g*q(k) + 2*m(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.18 * -7.8.\nAnswer: 9.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 12. Let n be r\/(4\/120*-2). Let j = n + 127. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 - -47. Suppose 26*d - 22*d = -248. Calculate the smallest common multiple of 8\/a + d\/(-5) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 2976?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 481490 = -6*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*n**2 - 82*n**2 + 156*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0085496 centuries to decades.\nAnswer: 0.085496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5940\/1404 - (-3)\/((-6)\/8)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10c + 0?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41, 160, 341, 572, 841, 1136, 1445?\n\"Answer: -2*k**3 + 43*k**2 + 4*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 53*n**2 + 7 - 24*n**2 - 30*n**2.\nAnswer: -n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2. Let a(d) = -1670*d + 3. Determine a(i(t)).\nAnswer: 3340*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -87*k**3 - k**2 - 8*k - 4. Let f be r(-2). Suppose 15*x - f = 13*x. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27*16\/1008*(-238)\/6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 446290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t + 571*t + 326*t.\nAnswer: 884*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 41 = -5*w, 2*w + 1241*z - 580*z + 266 = 597*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -224, -223, -222?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 16*v - 6 + 3 - 19*v - v**2 wrt v.\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - n - 3648009 = 0, -h - 2*n = -0*h + 912004. Let i be h\/(-8) + (-2)\/8. Round i to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0. Let w = -7\/3 - -29\/15. What is the closest to r in 5, -2\/9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**5 + 248*z**4 + 4712*z**3 + 27040*z**2 + 51732*z + 29160 = 0.\nAnswer: -27, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 7*w**2 + 6*w + 7. Suppose -4*l = -5*z, 3 = -l + 3*z - 4. Suppose -l*c = 15*c + 120. Calculate b(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/(-3))\/((-1)\/3). Let t = c - -33. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0.5. Let q = -309 - -4019\/13. Put -4, f, q, -0.4 in ascending order.\nAnswer: -4, -0.4, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 2. Let u(s) = 5*s**2 - c*s**2 + 2*s**2. Let o(j) = j. Let p(l) = 2*l. Let g(d) = 3*o(d) - p(d). What is g(u(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -5*k + 95, -v + 342 = -k + 369 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 5061810?\nAnswer: 5061810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s. Let l(z) = -2*z**2 - 8 - z**2 - 11 - 4. Calculate f(l(x)).\nAnswer: 3*x**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -72, -384, -910, -1656, -2628?\n\"Answer: -r**3 - 101*r**2 - 2*r + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 5*a + 6, 4*a - 8 - 1 = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2 + 144*x - 64386 = 0. What is x?\nAnswer: -219, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 32 = -5*z, 9*z - 4*z - 30 = -5*l. Suppose -z*v - 110 = 3*v. Is -11 equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 6*c - 6. Let j = -14 + 17. Let p = -10 + j. Let w be q(p). Are w and -2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v + 33*v + 44*v + 36*v.\nAnswer: 101*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 5*q**2)*(2*q**3 + 5*q**3 - 3*q**3 + (1 - q - 1)*(-2*q - q**2 + 2*q)).\nAnswer: 25*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -139224?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -13*y. Let b(m) be the first derivative of -m**3\/3 + m - 4. Let t(u) be the first derivative of b(u). Determine t(p(s)).\nAnswer: 26*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 - (0 - -6 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 312001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5005.581 less than -3652045?\nAnswer: -3657050.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6575 - 0.6655. Let n = 4 - 9. Which is the third biggest value? (a) 3 (b) n (c) h (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*m - 59 = -1, b - m - 8 = 0. Suppose 0 = 3*q + 2*q - b. Solve 4*j - 2*j = q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*w**2 + 9949*w - 14322.\nAnswer: -4*w + 9949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2. Let y(h) = 256740*h. Calculate g(y(x)).\nAnswer: -131830855200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3841 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, -29 in increasing order.\nAnswer: -29, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -603 - -605. Solve 4*x - 5 = -3*j - 2*j, -2*j + 2 = -w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b + b)*(b - 2*b + 2*b) + 2*b - 2*b**2 - 2*b - 32*b**2 - 40*b**2 + 124*b**2 + 136*b**2.\nAnswer: 185*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**3 - 196*g**2 + 1881*g - 2 wrt g?\nAnswer: 18*g - 392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -374 - 59*r + 373 + r**3 + r**2 + r**2 wrt r?\nAnswer: 6*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**2*h**2 - 2*g**2*h*u - g**2*h - 189*g*h**2*u + h**2 - u wrt h.\nAnswer: 4*g**2 - 378*g*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/42 and -47\/397842.\nAnswer: 2784894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1913 or 13395\/7?\nAnswer: 1913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 56 (b) 4\/5 (c) -1598\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(-7 + 1375\/198).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4) - (-28)\/(-88)) + 3010\/(-3850). What is the second biggest value in -18, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/821 (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.47 - -1.47. Let d = -29\/132 - 1\/33. Let u = 3.96 + 0.04. Which is the nearest to 0.2? (a) d (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186 (base 11) to base 13.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-1)\/(2\/4). Let d(b) = 25*b + 1. Let c be d(0). What is the greatest common factor of c and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -2)*(184 - -1). Let z = -114 + t. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15270007 to the power of 1\/2, to the nearest integer?\nAnswer: 3908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23020331 (base 4) in base 5?\nAnswer: -2430004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/((12\/1620*15)\/(11\/33))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 82*r + 4 + 13 + 130*r - 3. What is the hundreds digit of x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4\/8)*(8\/(-2))\/(-276)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10486 = 33*g + 11971 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + -65. Let f be b\/1*(-8 - -7) - 1. Find c such that -2\/3*c**f - 2*c - 4\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 3278896*v\/3 - 728644\/3.\nAnswer: (v - 364322)*(9*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56163316.\nAnswer: 2, 11, 19, 67181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12 = -2*r. Let j(t) = t**3 - 4*t**2 - 5*t + 2. Let i be j(5). Let o(c) = 0*c - i*c + 2 + 4 - 5. Calculate o(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. What are the prime factors of ((-27)\/(-3) + v)\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47916287 divided by 1\nAnswer: 47916287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1580\/37807 + -892025968\/1474473. Let p = -237\/91 - i. Let w = -611 + p. What is the common denominator of 16 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/7 - 32*v**3\/7 + 120*v**2\/7 + 128*v\/7 - 512\/7.\nAnswer: 2*(v - 8)**2*(v - 2)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 10:44 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p. Suppose 12*r - 10*r - 10 = 0. Suppose -5*o - x = -34, x = r*o - 37 + 1. Suppose 0 = o*c + c + 8. What is y(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 490103499624733 + 490103499624733.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (4\/6)\/(6\/45). Suppose 9*k + u - 11 = 0. Is k less than -1\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6625481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**5\/60 + 13*f**4\/24 - 3*f**3\/2 + f**2. Suppose 225*w + 20 = 227*w, -84 = -2*g - 11*w. What is b(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/24*0\/1)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-7) + ((-66)\/(-21) - 3). What is the third derivative of -124*u**2 - 12643 + 12643 - 132*u**t wrt u?\nAnswer: -792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 1654500393?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/11))**(-2)\/((x*x\/x**(-3))\/x*x*x)**(-1\/6) assuming x is positive.\nAnswer: x**(7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*2\/35*(-3 + 36\/(-8)). Put -4, n, -20, -50 in ascending order.\nAnswer: -50, -20, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14791, -7200, 5451, 23162, 45933?\nAnswer: 73764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + -2*sqrt(3))**2.\nAnswer: 4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 15, -7, -1.\nAnswer: -7, -2, -1, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.07159 * -2\nAnswer: -4.14318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 51166080 divided by -31104\nAnswer: -1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000122424672 rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/4)\/((-2)\/4). Let t(f) = f**3 + 4*f**2 + 2*f - 3. Let k be t(-3). Suppose k = -4*w + w + z. Sort -1, -5, w in descending order.\nAnswer: w, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/60 - n**4\/2 + 5*n**3\/6 + 2*n**2. Let z be d(7). Let g = -7 - z. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -15*h + 16. Let j be v(-5). Suppose -4*w - 6 = b - 65, 4*b = 3*w + 217. Let t = j - b. What is the highest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.76 from -7.709162.\nAnswer: -17.469162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 4*i - 5*q - 1395, 2*q = 5*i - 1395. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 6:40 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14371 - -9443. Let q be 3465\/a + (-4)\/54. Put q, -0.5, 5, -4 in descending order.\nAnswer: 5, q, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 5*z - 16. Give f(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5374.\nAnswer: 2, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.366 - -1.22. Let v = 0.154 - l. What is the second smallest value in 1, 2, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*r = -1, -2*r + 6 = -4*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -101721, -203446, -305171?\n\"Answer: -101725*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p + 26 = 366 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/4)\/((-585)\/(-78)). Which is the biggest value? (a) 2\/7 (b) -4 (c) -2\/5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131 + 46. Let o = 188 + v. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8, -9, -8\/5, -0.3?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*p = -338*p + 140*p + 493 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76246.39 centuries to years.\nAnswer: 7624639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(((sqrt(931)*-2 - sqrt(931)) + sqrt(931) + sqrt(931) - (-1 + sqrt(931) + sqrt(931))) + (sqrt(2736) - (sqrt(2736) - 2*sqrt(2736))) + 5)**2.\nAnswer: 108*sqrt(19) + 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 0*m**2 - 26 + 27. Let c be l(3). Let z = -1 - c. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*-2*1*3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2590 is divided by 856.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-15)*(-150)\/880)\/(20\/(-48)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**6\/6 - 2*n**5\/5 + 71*n**4\/4 + 8645*n**3\/3 - 2050. What is the third derivative of b(i) wrt i?\nAnswer: -60*i**2 - 48*i + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 100 in -18.246, -0.05, -12?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -114.\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -152434 divided by -8\nAnswer: 76217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3)\/i**2)\/((i*i**(-3\/2))\/(i*i*i**(-6)*i)))**(-19))**(-10) assuming i is positive.\nAnswer: i**(-1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.681045 seconds?\nAnswer: 8681045000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from blbbnlnnol?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 364829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4202*d**2 + 11246*d wrt d?\nAnswer: -8404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**5\/60 - l**4\/8 - l**3\/3 + 20*l**2. Give d(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -58 (base 13) to base 16\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23725 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 872575 = t + 6472575. What is t rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -o + 74. Suppose -g = g - o. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6669243 and 21168.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4717, -18069, -40053, -70669?\n\"Answer: -4316*h**2 - 404*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*f = -4*u + 23, 0 = -f + 3*u - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.981*0.5.\nAnswer: -0.4905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 367, 386, 433, 520, 659, 862, 1141?\n\"Answer: 2*l**3 + 2*l**2 - l + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123839 is divided by 20343?\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0303036 rounded to 3 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2562.3 - -2562. Which is the nearest to -2? (a) 0.22 (b) -1 (c) -0.5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -2*a**5\/15 - a**4\/12 + 6*a**2. Factor z(x).\nAnswer: -2*x*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t - 10. Let p(y) = y**3 - 4*y**2 - 4*y + 1. What is the lowest common multiple of 11 and p(t)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5029, -5030, -5027, -5020, -5009, -4994?\nAnswer: -4975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 2. Let f be k(-6). Suppose -5*n - 36 = -f*h, -5 = -2*n + 3. What is the remainder when h is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6769, -6771, -6773, -6775?\n\"Answer: -2*h - 6767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11885 is divided by 764.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 224?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 241.433?\nAnswer: -96.5732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 32813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + k + 23, 5*o - 6*k - 17 = -2*k. What is the third smallest value in -4, 0, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2687*b - 29563. Give p(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -203, 2, 4\/19 in decreasing order.\nAnswer: 2, 4\/19, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44771.\nAnswer: 44771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6846 - -2.\nAnswer: 6848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 171 + -185 + 0 + 4 + -18\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m + 9. Suppose -w + m*w - 40 = 0. Let n be (3\/6)\/(2\/w). Solve -5*q = -n*r - 20, r + 0*r + 1 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 323*x + 2747. Is a(26) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57 + 3c9d4?\nAnswer: 3ca4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -76a2dc (base 15) in base 12?\nAnswer: -1a87a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n + 6. List the prime factors of g(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040135 divided by -1385?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1\/2 (c) 3783 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/12 + (-5)\/6)*0. Suppose -6*f + 3*f + 12 = t. Calculate the greatest common divisor of 20 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -771298 or -771356?\nAnswer: -771298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 29150416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -13*q**2. Let m(p) be the second derivative of -1\/6*p**4 - 14*p + 0*p**2 + 0 + 0*p**3. What is m(y(a))?\nAnswer: -338*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, w: 2, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32391606 at least 32391606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 2*x - 4. Let d(a) = a**2 + 1. Give -12*d(g) - 3*m(g).\nAnswer: -6*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.4 - 19.4. What is the second smallest value in -19\/2, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/3 + -1 + -1. Let z = 289 + -168. Let h = z - 121. What is the closest to h in k, -3\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4600, -0.1, -3, 105?\nAnswer: 4600","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2*a + 26, -3*s - 96496*a = -96491*a + 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1676, 1710, 1762, 1832, 1920?\n\"Answer: 9*b**2 + 7*b + 1660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 275*y + 49)*(2*y - 4*y + y) + 2 - 2*y**2 - 2 - 4*y**2 - y**2 + 3*y**2 + y**2 + 4*y - 4*y + (4 - 5 + 3)*(-3*y**2 + 0*y**2 + 6*y**2).\nAnswer: -272*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 20416*g. Let t(v) = 19*v. Calculate k(t(p)).\nAnswer: 387904*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/200 and 61\/20.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-58 + 28 - -22) + -4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127 + 128. Which is greater: f or -1.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 9*n**2 + 4*n + 49. Suppose -3*v + 39 = -4*q, 18 = -v + 19. Let o be c(q). What is the highest common factor of 91 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -263*d + 247. Let f be b(0). What is the greatest common factor of f and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2045, 3443, 5771, 9029, 13217?\nAnswer: 18335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44352 by 1584.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50040 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 4:01 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -136545 or -136544?\nAnswer: -136544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 11 + 0)*(0 - 1 + 17)*(2*g - 2*g + g).\nAnswer: 96*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -173, -80, 121, 466?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 25. Suppose 3*k - 6 = -3*m, 3*m - 20 = 3*k - 2. What is the second derivative of 0*r**m + 5*r**4 - 3*r**z - r wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-269*g + 117*g - 152*g - 586*g)*(3 + 3 - 5).\nAnswer: -890*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1215?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 11*q + 5*h = -4, -1 = 1105*q - 1104*q + 4*h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -15*w + 315. Determine k(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + 1 + sqrt(125) - (sqrt(125) + -1 + sqrt(125) + 3 + sqrt(125)))**2 - (-1 + -1*(0 + sqrt(125) - sqrt(125)) + sqrt(125) + 2)**2) + 1.\nAnswer: -1125 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, k: 1, q: 1, b: 1, g: 2, y: 2}. What is prob of picking 1 q, 1 b, 1 k, and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 274835872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7c0d - -5?\nAnswer: 7c13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*d + 20 + 20, 5*d - 220 = -3*h. What is the remainder when 99 is divided by h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 92.1 from -0.4.\nAnswer: -92.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 4:48 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -1) + 3 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -8\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 7*u + 18. Let f be b(9). Let t be 5\/(-1)*(0 + -1). Solve t*s = 3*i - 18, i + f = 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - (9 + -9 + 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -37*y**3\/3 + 31*y**2 + 2*y + 76. Find the second derivative of q(v) wrt v.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 1\/2*x**2 - 45 - 13*x. Let w(r) = r + 9. Let g be w(0). Give z(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 336.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) 2 (c) -1\/16 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-12))\/(2\/(-6)) + 243. Are t and -0.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z - 994 = 102*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d = -2*p - 36, 0 = 2*d - 4*p + 54350 - 54334 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**3 - s**2 + 1. Let x be t(-4). Let i = x + 2979\/11. Let z = 4 - 1. Which is the closest to -0.1? (a) -0.05 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smzj when four letters picked without replacement from mmeszzzejzmzez.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(28\/(12 + -152))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 4*u**2 - u - 4. Let y be b(5). Let n = 12712 + -12456. Calculate the greatest common divisor of y and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2 + -3 + 4). Let s = 6 + a. Let p(h) = -3*h + 6. Give p(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*j + 821 + 279 = -3249 - 976 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -16. Let t = i + -3. What is the biggest value in -4, -2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - s - 1. Let m(x) = x**3 + 7*x**2 - 7*x - 7. Let u(n) = 6*a(n) - m(n). Factor u(v).\nAnswer: -(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 21308.\nAnswer: 106540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.0564 - -19.1. Let d = 0.0435047 - r. What is d rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:56 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14009201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*((n*n**(3\/5))\/n*n)\/n)\/(n*n\/n**(-2\/29)))\/(((n**(-1\/7)\/n)\/n)\/(n**(-1\/5)*n)))**(-8\/15) assuming n is positive.\nAnswer: n**(-6696\/5075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-20 - -50) + (-2 - 6 - -20).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 - 109. What is the units digit of s\/(-2) - 4520\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833*r + 5477 + 2955 = 1881*r - 800*r for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*w = -61*w + 5*g - 19, w - g + 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12265 + 993437\/81. Find the common denominator of n and 17\/126.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - y + 0*y = 0, 10 = 3*g - 5*y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(243))**2 + (sqrt(3) + 2)*3 + (sqrt(75) + -2 + -2 + 1)**2.\nAnswer: -27*sqrt(3) + 338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -312 >= -310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/(572\/(-264)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 15*i**2 + 22. Let p be b(-15). Let s = -10 + p. Solve -3 = 5*v + s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2261 and 18093\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (108*w**2 + 114*w**2 - 33*w**2)*(-3*w + 2*w - w) to a*w**3 + v + d*w + b*w**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -53. What is the first derivative of 5*o + n*o - 43 + 21 wrt o?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/171 + -206\/1197. What is the closest to 2\/9 in 2\/7, 0.05, 11, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 426524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25\/4 - -7. Let z = 334 + -353.1. Let i = z - -19.4. What is the fourth smallest value in i, k, -0.1, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1938858 or 25205152\/13?\nAnswer: 25205152\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3201792 divided by 66?\nAnswer: 48512","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0 + 0*v**4 - 1\/60*v**5 - 7\/6*v**3 + 0*v - 5*v**2. Find the first derivative of i(l) wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 130\/(-11) - ((-4)\/(-22) - 0). Let n be ((-34)\/51 + (-770)\/v)*2. Let w = n - 61. List the prime factors of w.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - 13. Suppose -f = -0*f - 6. What is the least common multiple of 9 + -9 - (u + 0) and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2070 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfbffbbjsbf. What is prob of sequence bfs?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**4 + 4*a**4 - 2*a**4 + (0*a**2 + a**2 - 5*a**2)*(2*a**2 - 3*a**2 + 0*a**2) to x*a + y*a**4 + c*a**3 + r + p*a**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 126 - -0.2036.\nAnswer: 126.2036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*y + 4*h, -2*h + 2 = -4*y + 6*y. What is the second derivative of 19*m + y*m - 23*m + 28*m**3 wrt m?\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3874*r**2 - 3877*r**2 + 7761*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2369978 - 129997345.\nAnswer: -132367323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 57896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (1 - 22) + 44\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/(-13)*4\/(396\/(-1265))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528717.7s to microseconds.\nAnswer: 528717700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*t = 26, t + 20 = 2*h + 17. Solve 0 = 3*i + 3*u - 12, 4*i = h*u + 39 - 23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 5*v + 310, -4*v - 139 = -2*y + 153. What is the smallest common multiple of (-36)\/(-126) + y\/14 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 3.8.\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 + 0.49. What is the closest to 1 in b, -3\/4, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2563 and 5125\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 989*t + s = 994*t - 150, 2*t = -7*s + 97 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 + 137. Let d(g) = 56*g + u + 12*g + 0*g - 3. Let b(t) = t. Calculate d(b(r)).\nAnswer: 68*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -115*(-204)\/3128*4\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11172, -22337, -33504, -44673, -55844?\nAnswer: -67017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -917 + 573. Let m = -526 - p. What is the biggest value in -2\/13, m, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3513*r = -3559*r + 276 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 32. Let g(c) = -2*c - 9*c**3 - c + j*c**3. Let l be g(-2). Calculate the highest common factor of l and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1046703 (base 8) to base 6.\nAnswer: 10013443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*f = 12*f + 10*f + 256. Solve -3*n - f*p - 30 = -11, -25 = 5*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8125050 divided by 15.\nAnswer: -541670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v + 2. Let a(p) = -p. Let y(z) = -5*a(z) + k(z). Let l(m) = m. Calculate l(y(q)).\nAnswer: 11*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 - 3*m**2 + 5*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3097102 divided by 3?\nAnswer: 3097102\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - -2 - 0) - (-600)\/75\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -48, -1.2, -23?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*b)*(b**4 + 3*b**4 + 0*b**4).\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*r - 792 = 666 + 557 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9))**17*g*(g*g\/((g**3*g*g)\/g)*g)\/g*g*g*g*g*g**(4\/3) assuming g is positive.\nAnswer: g**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23404? (a) 10 (b) -4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - r - 256 = 0, t + 4*r - 2*r = 90. Suppose 0*i = i - 2, 0 = -4*a - i + t. What is the greatest common factor of 14 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t - 5. Suppose -6 = -9*r + 48. Let k(l) = 6*l - 6*l - 9*l - r. Give -7*d(a) + 6*k(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((190\/20)\/(-19))\/(2\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.20168 and 436493471.\nAnswer: 436493471.20168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 4. Let h be c(5). Let z be 3 - (-12)\/(-1 - h). Which is greater: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3022*f - 669*f + 1118*f**4 - 557*f**4 - 559*f**4 + (2*f - 6*f + f)*(-f**3 + 0 + 0) to the form s*f**3 + j*f**2 + b*f + v + m*f**4 and give b.\nAnswer: 2353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7576\/3 - 121321\/48. Let g = 28353\/29840 - 70\/373. What is the common denominator of g and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*m**3 - 53*c**2*m + 2*c**2 - 4*c*m - 509*m**2 wrt m.\nAnswer: 12*c**2*m - 1018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(3 + 55\/2). Let w = u - -1279\/7. Let z be (-14)\/10 + 2\/5. Are w and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 - 1 = 0. Let n = 4 + y. Suppose -n*x + 41 = -x + 5*w, -3*x = -4*w + 8. What is the remainder when 15 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5280)\/144)\/(-4*3\/18).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14439\/55150 - 2\/1103. Calculate the common denominator of 84\/8 - (-2)\/6 and h.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 + 114 = 5*x + u, 0 = -2*x + 4*u + 76. Suppose x = 2*h - 130. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 5:24 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2 - 10 - 16*q - 14 to c*q + g and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81240 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a. Suppose f + 0*f - 4 = a. Let v(p) = -p + 6. What is v(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30, 3\/1148, -2, -1\/2?\nAnswer: 3\/1148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14796970781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 14*q. Let d(u) = 9*u - 3. Let m(v) = 5 + 2*v - 20*v + 2*v. Let z(f) = -5*d(f) - 3*m(f). Determine z(o(y)).\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a decade in months?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*z + 7, 4*f = 5*z + 48 - 57 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0029021021 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**6\/360 + 7*s**5\/120 - s**4\/4 - 52*s**3 - 59*s**2 - 1. Let i(m) be the first derivative of r(m). Factor i(f).\nAnswer: -(f - 6)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, c: 4, v: 3, z: 3, x: 6}. Give prob of sequence cc.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011 + 0?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -32b5 (base 14) to base 6\nAnswer: -104355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92302 a multiple of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1062 + -1219. Let k = p - -531. What is the highest common divisor of k and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/sqrt(96) + sqrt(11) + (sqrt(11) - (sqrt(11) - (5 + sqrt(44)\/sqrt(4)) - sqrt(11)))**2.\nAnswer: 69 + 85*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 398383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**2\/7 + 276*a\/7 + 6688\/7 = 0.\nAnswer: -19, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**2 - 1725645*h - 6902660 = 0.\nAnswer: -4, 345133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 5 (c) 843260\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 i when three letters picked without replacement from iiisiiiiiswiiis.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -0.2, -0.554?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t**(-6\/7)*t))\/t)\/t*t)\/(t\/t**(-9\/2)))\/(t\/t**(-1))**(30\/11) assuming t is positive.\nAnswer: t**(-1709\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 9:29 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (129495\/3360)\/97 - 3\/7.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 3, -7, 1 in descending order.\nAnswer: 3, 1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-761*r + 1513*r - 857*r)*(-r + 4*r + 1 - r) to k + w*r + b*r**2 and give w.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 310625179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -w - 0*w - 2*y, -3*y = w - 12. Let v = 9 - w. Let a = -23807 + 23800. Sort 2, a, v, -4 in increasing order.\nAnswer: a, -4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**3 - u**2 - 6*u - 10. Let t(v) = 22*v**3 - 2*v**2 - 26*v - 42. Calculate -26*h(m) + 6*t(m).\nAnswer: 2*m**3 + 14*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5692*y - 5633*y = -826 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 816317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2261b + 1?\nAnswer: -2261a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -11 (b) -139 (c) -1871 (d) 9\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6720034*g**3 + 104381*g + 3 wrt g.\nAnswer: 40320204*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*j + 5*j - 6*j + 1)*(-39 + 117 + 20).\nAnswer: 2842*j + 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * 0.02393\nAnswer: -0.031109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 552799503, 552799501, 552799499, 552799497, 552799495?\n\"Answer: -2*u + 552799505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m**3 + m**2 + m - 1. Let a(l) = l**2 - 12*l + 12. Let o be a(11). Let w be p(o). Solve 3*n - 27 = 3*c, -n - 4*n = 3*c - w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*l. Let m(u) = -3*u**2 + u + 6. Let d(w) = 12 - 4*w**2 - 2*w**2 - w**2 + 2*w. Let z(f) = -2*d(f) + 5*m(f). What is z(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -30. Let z(j) = -j**3 + 10*j**2 - 4*j - 6. Let u be z(q). Suppose -23 + u = 5*l. Solve -2*b - 3*h + 2*h = 1, 2*h = 4*b - l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 2:31 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3914405*0.3\nAnswer: -1174321.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t**3 + 6*t**2 - 8*t + 2. What is the units digit of h(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14e (base 16) in base 6?\nAnswer: -1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -8.29881674432.\nAnswer: -8.59881674432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 3, y: 1}. Give prob of sequence byb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47095838.\nAnswer: 2, 181, 130099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 7 = z, -409*z + 2*m = -405*z - 16. Let s = -4 + 6. Suppose -z*p - s*w = w - 42, -5*p + 5*w = -20. Solve -4*i = -p - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26374367?\nAnswer: 211, 239, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 373, 743, 1119, 1507, 1913?\n\"Answer: y**3 - 3*y**2 + 372*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -41421*n + 6213149. Determine s(150).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/2)\/s)**1\/(s\/(s*s*s**(3\/7))*(s*((s*s**12\/s)\/s*s)\/s)\/s) assuming s is positive.\nAnswer: s**(-141\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = -w + 4*w. Let h = 222 + w. Suppose -7*c + 304 = 9*c. Calculate the remainder when h is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*j + 128*j + 96*j + 1881020. What is j rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4193358643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6816 - 6817. What is the closest to 0.07 in 0.009, -3, y?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68194 divided by -4.\nAnswer: 34097\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veqqeveeevv. Give prob of picking 2 v.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -127 or -181?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 5\/629, 0.3, 98 in increasing order.\nAnswer: -3, 5\/629, 0.3, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 9*d + 16. Suppose 5*z = -2*x + 6*z + 23, -x - 2*z = 1. Let g(r) = r**2 - 3*r - 2. Calculate the least common multiple of g(-3) and o(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2.5, 4\/7, -3, 0.1, 705?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 73970?\nAnswer: 295880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 6. Let y be n(-6). Suppose 2*w + 2*d + 38 = y, -3*w - d = -0*d + 55. Let p be w\/(-9) + 60\/(-26). Which is smaller: -2\/3 or p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -298.9 + 298.88366. What is a rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11940436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 462605 and 34?\nAnswer: 15728570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 11:29 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/3*3 - -1. Let l(w) = -4 - 4*w + 10 - 3 + w**2. What is the units digit of l(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 0*f**2 + 0*f**2 - 2*f**2. Suppose 0 = -10*c + 5*c + 30. Let s(g) = 8*g. Let i(j) = -j. Let a(k) = c*i(k) + s(k). Give r(a(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*f + 38 = 6, -5*f = 3*r - 24. Let n = r + -4. Solve 16 + 1 = 3*x - 2*c, 0 = c + n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179 + 4602. Let l = t + -2540. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 222*y**2 + 173*y + 30. Give i(-1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + 2*f**2 + 5*f - 1. Let j be v(3). Let m(r) = -j*r + 184*r + 9 - 96*r. What is m(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33)\/1)\/(4704\/224))\/(1\/(-35))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -5257711?\nAnswer: 5257714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48.3 + -51. Let x = l + 3. Let r be 2 - 0 - 14\/8. Which is the nearest to -1\/4? (a) -3 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129*-0.003.\nAnswer: -0.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 - 120.7. Which is the smallest value? (a) m (b) 5\/3 (c) -5 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 + 5*f**2 - 4*f + 3. Let c be b(3). Let w = -12 - c. What is the lowest common multiple of 8 and w\/((-3)\/((-9)\/2))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -231890.449 and 0.3.\nAnswer: -69567.1347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 3*d = -126 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 122093 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -249 + x**2 + 250 - 3*x**2 + 3*x - 7*x + 7*x - 2*x**2 + (0*x - 2*x + 3*x)*(33*x - 19*x + 23*x) + 4*x**2 - 3*x**2 - 2*x**2.\nAnswer: 32*x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*22347.23.\nAnswer: -1251444.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n**2 - 3*n - 2. Let x(p) = 2*p**2 + 0*p**2 - 3*p**2 + 2*p**2. Let v(a) = -r(a) - 5*x(a). Factor v(y).\nAnswer: (y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -3, -19, 495 in ascending order.\nAnswer: -51, -19, -3, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 100 + 8*m + 45 + 46 - 2*m. Determine u(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 23*m + 32. What is j(-5)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1 = -o - 4, -4*n = 2*o + 10. Does 14 divide (-3)\/3 - n - -29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3080)\/(-330)*(-108)\/84.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*s = 122*s. Let v be (4 - s) + -16 + 14. Sort 0, -4, v in ascending order.\nAnswer: -4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 5*s - 5. Let a = -60 - -60. Let m be z(a). Let y(l) = l**3 + 6*l**2. Is y(m) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89407.07 micrometers to nanometers.\nAnswer: 89407070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32003481281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-24)\/28 + 1). Put t, 1, 2 in descending order.\nAnswer: t, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 1. Let w be q(3). Suppose -5*z + w = -18. Solve 4*s + z*n = -28, 4*s + 2*n + 14 = 5*n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 3*m + 4. Let c(g) = g - 6. Let s be c(6). Let v = s + 11. Calculate the remainder when v is divided by b(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 280*z**5 - 30*z**4 + 6*z**3\/7 + 146. Solve b(m) = 0.\nAnswer: 0, 3\/70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 165*f**2 + 340*f - 985. What is j(167)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -3. Suppose 6 = q - 0*q. Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Let t be 8 + 216\/(-28) - (-33)\/7. Put n, t, -3 in descending order.\nAnswer: t, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from ugggguugud?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -73246 divided by -2060?\nAnswer: 36623\/1030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.7353 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116942775 a multiple of 2076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 67*a**2 + 144*a - 414. What are the prime factors of l(-62)?\nAnswer: 2, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y + 7 - 16 + 9.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/5)*a**8*(a\/(a*a*a*a**0*a)*a)**(-14))**(-1\/28))**(2\/57) assuming a is positive.\nAnswer: a**(-92\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101866.2866 rounded to the nearest one thousand?\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + x**2)*((7 + 11 + 0)*(2*x**2 - 2*x**2 + 3*x**2) + (4 - 3*x - 4)*(2 + 7*x - 2)).\nAnswer: 33*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**4 - 1 - 8 + 3 - 2*d**3 + d**4 to q + w*d**2 + t*d**4 + x*d + o*d**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35990 or -344?\nAnswer: -344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t - 35 + 35)*(0*t + 0*t - 4*t + (-2 + 5 - 2)*(t - 4*t + 2*t)).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + ((-1 + sqrt(48))*6 - 6*(-1 + sqrt(3) + 4)))*-4)**2.\nAnswer: -360000*sqrt(3) + 638800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 228 = -2*d, 197 = 5*j - d - 377. Let r = j - 112. Solve r*s + 8 = s, 2*z - 3*s = 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46.21 + 2384.21. Let c = 2409.04 - x. Let l = c - 64. Round l to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -257133 or -257484?\nAnswer: -257133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/72 and 97\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1728*u + 4 - 3 - 1 - 7887*u. Let z(d) = -d. Determine a(z(q)).\nAnswer: 6159*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*q**5 - 3*q**2 - 527*q wrt q.\nAnswer: 760*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 174*m + 204. Give y(-7).\nAnswer: -1014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*b + 4 + (-b + 2*b + b)*(-2 - 1 + 0))*(7*b - 10*b - 105*b)*(2 - 1 - 3)*(5 - 3 - 1).\nAnswer: -1728*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5920 - 7264 = -96*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 3*q - 5*q)*(-7 + 5 + q - 3*q) - 2*q**2 + 1 - 1 + q - q + 2*q**2 + (-4 + 4 + 2*q)*(2*q + 0 + 0) - 4*q - 3*q**2 + 4*q.\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70373 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 99 + 82)*(-8 + 7 - 4)*(-2 + 4 + 0)*(3*k - 2 - 4*k + 0) in the form l*k + a and give l.\nAnswer: 1650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -12030*q**3 + 6*q**2. Let f(y) = -24068*y**3 + 13*y**2. Determine 6*f(m) - 13*i(m).\nAnswer: 11982*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -4*g + 9 - 0, 0 = 3*t - 4*g + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -9\/234743 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 37 = -4*h - t, 4*h + 5*t - 13 = 0. List the prime factors of (732\/6)\/(4 + h).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1465840 divided by -5840.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -152, 49.95, -1\/9, -0.2, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**5 - 19*p**3 + p - 41.\nAnswer: 20*p**3 - 114*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 7039780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*z**2 + 81*z**2 - 160*z**2.\nAnswer: -158*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*t - 28 + 4*t - 57 + 13832*t**2 - 13831*t**2 wrt t?\nAnswer: 2*t + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7535861 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -1510.5\nAnswer: -755.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 5*j**2 - 2*j + 12. Let v be y(5). Let u(s) = s**3 - 2*s**2 + 2*s - 2. Let g be u(v). What is the nearest to -2\/47 in -2, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 - -62. Sort 0.07, r, -3.\nAnswer: -3, 0.07, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2. Let k be (-3)\/1*(-18)\/18. Let q(t) be the third derivative of 0*t**4 - 2\/15*t**5 - k*t**2 + 0*t + 0 + 0*t**3. Give q(h(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3837695 days to milliseconds.\nAnswer: 33157684.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**3 + 12*g**2 - g - 1. Let z be s(-3). Let x = 0.1 - 0.1. Which is the closest to x? (a) z (b) 0.07 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 3*q + u, -u - 3 = -q - 4*u. Calculate the greatest common factor of 126 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373453 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/21042 and -113\/3006?\nAnswer: 21042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1.12, 2\/2341, 0, -2 in ascending order.\nAnswer: -2, -0.3, 0, 2\/2341, 1.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2. Let h(r) = -692065*r**2 + 2*r. Calculate h(p(m)).\nAnswer: -692065*m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -6*g**4\/17 - 38*g**3\/17 - 78*g**2\/17 - 58*g\/17 - 12\/17 = 0.\nAnswer: -3, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3\/5 (b) -8 (c) 1\/9 (d) 3 (e) 1\/6 (f) -2\/3 (g) -116\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**3 - 4\/15*k**5 - 1\/9*k**6 + 0*k - 1\/6*k**4 - 1 + 0*k**2. Determine z, given that v(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 divided by -1225.\nAnswer: 118\/1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -29*k - 4358. Calculate p(-162).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1001 and -0.02.\nAnswer: 20.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 + -120. What is the lowest common multiple of h and 98?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10517324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 2448.\nAnswer: 44064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -396681011.3918 + 398811530.1918056. Let n = u + -2130518. Let c = -0.8 + n. What is c rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319332, 2554751, 8622322, 20438121, 39918224, 68978707?\nAnswer: 109535646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -4.98. Which is the second smallest value? (a) t (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/4 + r + 1.\nAnswer: -(r - 2)*(3*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is cde49 (base 15) in base 3?\nAnswer: 1020020221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66 - -4004?\nAnswer: 3605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19440 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-272580)\/(-63602))\/(-2*(-1)\/(-21))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 3000?\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 1. Let l be i(7). Let f(w) = -6 + 0 - 10 + 1 + 4*w. Calculate the smallest common multiple of 1 and f(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1672 + -1188. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/20*12\/(-18). Suppose d = -4*d + 5. Which is bigger: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716808480 divided by 6268?\nAnswer: 114360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 150 = -18. Suppose 0 = -3*l - 5*j + o, -l - l - 4*j = -40. Let a = -10 - -14. Solve l + a = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3528 divided by -1176.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 7. Let k be 5*((4 - 3) + -2). Calculate the common denominator of i(k) and -29\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32173439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, u: 4}. What is prob of sequence ux?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404*o = 401*o + 6. Suppose 0 = -6*h - 193 + 49. Let t = -22 - h. Solve -t*y = -o*z - 12, 0*z - 2*z + y = 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*c - 3 + 3)*(-2458*c**3 - 157921 + 157921) in the form x*c + d*c**3 + q*c**2 + z*c**4 + i and give z.\nAnswer: 14748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21868741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q**5\/4 - 4019*q**4\/4 - 7495*q**3 - 14048*q**2 = 0. What is q?\nAnswer: -439, -4, -32\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:55 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (208\/(-15))\/13 + (14\/10 - 1). Let a = -1.2 + 1. What is the closest to g in a, 5, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -17. Let i be n\/25 - 24\/(-10). What is the second derivative of -h**5 + 0*h + h**5 - 9*h - i*h**5 wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p = -25*p + 20. What is the lowest common multiple of p and 64 - (8 - (0 + 4))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3 + 111*c**2 - 576*c + 464 = 0. Calculate c.\nAnswer: -116, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126943?\nAnswer: 126943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*d = 293, 14 = -5*d - 1. Let m = 495\/7 - v. Let x = 0.9 + -1. Which is the closest to m? (a) 3 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 63 = -3*v + 93, -3*v + 60 = 9*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 105.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 6*m + 55. What is the remainder when (-4 - 1 - 2) + 37 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s - 25 = 0. Let h = s - 13. Solve -c = -3*j + 14, -3*c - 4*j = -11 - h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 - (-16279)\/4 - 3\/4 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1820300 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*u + 48541 - 43645 = 0 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r + 25. Let s = -9\/89 + 125\/356. Sort 25, r, 3\/7, s in descending order.\nAnswer: 25, 3\/7, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**0))**36 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21 + 5)\/(132\/(-726)). What is the highest common factor of 296 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 20 + 523806*j - 56 + 21.\nAnswer: 523806*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - 8.06. Suppose -21 + 20 = q. Which is the nearest to q? (a) -2 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -201*o**2 + 7*o - 13*o - 13*o + 194*o**2 wrt o.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/7, -8, -5.2, 1, -1, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.31 - 0.31. Let r = -5 - -1. Let u = 125 + -120. What is the third biggest value in j, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6713 - 1459*h**2 + 7786*h**2 + 3353 + 3360 to the form p*h + b + w*h**2 and give w.\nAnswer: 6327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8\/5, -2\/9, 1\/2 in decreasing order.\nAnswer: 8\/5, 1\/2, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 + 12*y**2 - y - 3. Let c be k(-6). Suppose 5*u = c*m - 124, 5*u + 31 + 7 = m. Let s = m - 42. Solve -3*f = s - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4 + 73*w**2 - w**5 - 43*w**3 + 9*w**4 + 16*w - 72*w + 16 + 0*w**4 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 + 36*a**2 + a + 2. Suppose 2*q = 30 - 18. Let k(p) = 2*p**3 - 35*p**2 - p - 2. What is q*h(n) + 7*k(n)?\nAnswer: 2*n**3 - 29*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187*p**3 - 22*p**2 - 7*p wrt p.\nAnswer: -1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.3, -1, -0.2, 0.2, -12 in descending order.\nAnswer: 0.2, -0.2, -1, -9.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r + 2 + 2*r + r**2 - 2. What is u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171512 divided by 21439\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92905.\nAnswer: 5, 17, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -889 - -868 - ((-26 - 0) + 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*4\/(-56)*10\/20.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/(sqrt(18)\/sqrt(2)))\/(-1*sqrt(300)))**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6745\/1330 - 2\/28. Solve d*w - 4*x = -11, -4*w - 3*x = -3*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3 - 3)*(12*c**2 + 3*c**2 + 0*c**2).\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -12. Suppose 5*v + 2*q - q = c, -2*v = 5*q + 1. Suppose -n - 2 = -2*m, m - v = -m - 3*n. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 10:15 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 103?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 971 + 4045 = 8*d. Is 64 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -898*p - 2726. Give c(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-8 - 1 - -14) + (39 - 14).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - v + 49*f = -176, 3*f + 12 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1430 divide 208083590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -222 - -111362?\nAnswer: 111140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -174 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(847) + -1 + sqrt(847) - (-1 + sqrt(252) + sqrt(7) + (-1*(sqrt(7) - (1 + sqrt(7))) - sqrt(7)) + sqrt(7)))**2.\nAnswer: 60*sqrt(7) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011079733 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 60*j**3 + j + 2. Let b(m) = 119*m**3 + 3*m + 5. Calculate -2*b(z) + 5*x(z).\nAnswer: 62*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -202\/9, -1, 0.1, 2\/27, -1\/2 in descending order.\nAnswer: 3, 0.1, 2\/27, -1\/2, -1, -202\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6) + (624\/(-90) - -6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*u**2*y**2 - u**2 + 69*u*y - 155373*y**4 + 5287*y wrt y.\nAnswer: -18*u**2 - 1864476*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -2 (c) 20 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/(19\/(798\/(-120)))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64, 237, 614, 1297, 2388?\n\"Answer: 17*k**3 + 54*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqq when three letters picked without replacement from qkqqllqqqq?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 176*p**2 - 383*p + 67398. Determine u(176).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**6\/120 - g**5\/30 - g**4\/12 + 2*g**3\/3 - 5*g**2\/2 - 2. Let a(i) be the second derivative of x(i). Give a(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129746 = 19*s + 22909. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 0*h**3 - 3\/2*h**2 - 2\/3*h**6 + 0*h**4 + 2 + 0*h**5 + 0*h. Find the second derivative of q(s) wrt s.\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01324392456 rounded to 5 decimal places?\nAnswer: 0.01324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/((-1)\/3). Suppose 0 = v - q*v. Suppose -c = -v*c - 16. What is the remainder when c is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-1))\/b*b*b**(-1\/4))**28)**(3\/38) assuming b is positive.\nAnswer: b**(147\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 13) in base 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*k + 141 + 85 = 0, w + 5*k - 212 = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 455*n**2 + 320*n - 45. Let j(d) = 455*d**2 + 313*d - 48. Let p(l) = -5*j(l) + 6*s(l). Solve p(t) = 0.\nAnswer: -6\/7, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001314376322 to six dps.\nAnswer: -0.001314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*24\/60 - 688\/(-34) - 18?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 12\/25 of a micrometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 - k**4 + 1 + 5*k**2 - k**4 + 7 + 3*k**3 - 2*k**3 in the form m*k**2 + w*k**3 + o + g*k + p*k**4 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) 2 (b) 0.4 (c) -3.8 (d) -11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 - 7*y - 34. Let a be m(-6). Differentiate 443 - 954 + a*l**4 + 373 wrt l.\nAnswer: 464*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 2767*i - 2772*i = -100, 0 = -5*g - 5*i + 135 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 15*c - 55. Give p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8*h + 12. Calculate k(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27596, 110455, 248564, 441923?\n\"Answer: 27625*g**2 - 16*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1302610 - -6?\nAnswer: 1302616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23417 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 21*o**2 + 20*o + 5. Let z be j(20). Suppose -4*i = 5*u + 54, -3*u - z*i = 6 + 16. What is the tens digit of (u + 1)*(-2)\/(1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 690361, 1380728, 2071095, 2761462, 3451829?\n\"Answer: 690367*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*m = 8, 2*p - 5*m + 17 = -12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 1, -428 = -4*a - 4*u + 536. Calculate the greatest common factor of a and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33167063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 + -76.1. Let t = -3 - 2. Which is the nearest to p? (a) t (b) 4\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 + 158. Suppose 0 = 22*l - 21*l + o. Does 30 divide (63\/45)\/((-1)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2880 and (-4)\/(-9) + (-32)\/(24192\/(-14658)).\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + -3 + (sqrt(2) + 1)**2 + 0.\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (-42)\/(-6))\/(0 + (0 - 1)). Solve 5*v + 4*y = -16 + p, 0 = 4*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215777?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 10*r + 27. Let h be x(10). Suppose 24*a - h*a + 213 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**2 - 13*l + 5. Let o(u) = -7*u**2 + 15*u - 6. Let j(s) = -6*g(s) - 5*o(s). Let v(c) = c**2. What is v(j(p))?\nAnswer: p**4 - 6*p**3 + 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**4 - 2 + 2 + (-2 - 12 - 19)*(q + q**4 - q) in the form j*q**4 + c*q + h + k*q**3 + t*q**2 and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740810168 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffoccffecj. What is prob of sequence oefc?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 at most 38776\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -19, 1 in increasing order.\nAnswer: -54, -19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = m + 4*m - 2. Let g(o) be the first derivative of 0*o + 4\/5*o**5 + 17 + 2*o**2 + m*o**3 + 3*o**4. Factor g(s).\nAnswer: 4*s*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-8) + 10\/4. Suppose a + z*a - 33 = 0. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, u: 1, b: 2, e: 1, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j + 2*j**2 + 4*j + (0*j**2 + 0*j**2 - 2*j**2)*(-2 - 1 + 2) + 34*j**2 + j**2 - 9*j**2 - 2*j**2 + 1 - 1.\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2. Let s(j) be the second derivative of -j**4\/6 + 3*j. Give f(s(t)).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b429a - -4a?\nAnswer: 10b4328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 515556719 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + p**4 - 2*p**4 + (2*p**3 - 3*p**3 - p**3)*(-2*p + 0*p + 0*p) - p**4 + 0*p**4 - 3*p**4 - p**4 - 3*p**2 + 3*p**2 - 6*p**4 + 2*p**4 - 12*p**4.\nAnswer: -19*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83376 and 758.\nAnswer: 31599504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c. Suppose -4*r + 23 = -3*x, 2*r - 5*x + 5 = 4*r. Let i(p) = 0*p + r*p - 2*p. Determine i(w(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32080691 - -46680691. What is f rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8 = 3*t - 23, 2*t - 4*o = 10. Suppose -t*x = -11*x + 352. Suppose -2*a = -x + 6. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -716 + 563614*k**2 - 778 + 6*k**3 - 563673*k**2 with respect to k.\nAnswer: 18*k**2 - 118*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*x + 92*x - 46*x - 307*x**2 - 6 - 44*x**2.\nAnswer: -351*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3234197.\nAnswer: 3234197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31770515 and -0.4.\nAnswer: -12708206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(80))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1 = 4*s - 5, -4*s = 2*g - 24. Suppose o - 6 = -3*l, 5*o = 3*l - 22 - 2. Is 14 a factor of (g\/o)\/((-16)\/264)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112353075271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 5*t + 3. Let v(l) = -l**t - l**2 - 41*l + 44*l + 0*l**2. Let c(x) = -2*x**3 - x**2 + 4*x. Let r = -28 - -32. Give r*v(n) - 3*c(n).\nAnswer: 2*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389 = -45*x + 119 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (36 - -2) - -1) + -2779 + 2784.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0219068 to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.1 (c) 4 (d) 0.068 (e) -2\/9 (f) 2\/339\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**3 - 6*o + 2. Suppose 3*s = -5 - 7. Let z(q) = 6*q**3 + 7*q - 2. Let y(h) = h**2 - 39*h - 1787. Let a be y(66). Calculate a*k(i) + s*z(i).\nAnswer: i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 9 + -5 + 22. Let q(v) = 20*v - z*v + 5*v. Let s(u) = 3*u + 2*u - 2*u. Determine q(s(n)).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**2 - 20*b**2 + 97*b**2 - 30*b**2 - 12*b**2 - 20*b**2 - 27*b.\nAnswer: -3*b**2 - 27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6 + 21*j**2 as s*j**2 + v + h*j and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 48101920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/3 (b) -3\/76 (c) -11.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151302251 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 15*b**3 + 246*b - 246*b.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.8 in 7, -144, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l - 12. Suppose 3*a + 4*i - 667 = 0, -5*a + 852 + 256 = l*i. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = c - 2993002, 0 = 3*c + 5*z - 11898603 + 2919608. What is c rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*y**2 + 7895 - 7895 - 2*y**3 as k*y**2 + n*y**3 + m + w*y and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 2868*t**2 + 216798*t - 213932.\nAnswer: 2*(t - 1354)*(t - 79)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 + 24 = 5*f, -4*p + 3*f = 0. Put p, -5, 11 in descending order.\nAnswer: 11, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7049985.\nAnswer: 3, 5, 17, 27647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1503 is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 981885, 1963752, 2945619, 3927486, 4909353, 5891220?\n\"Answer: 981867*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/(-72))\/(-2*6\/297) and 95\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3\/2 - 57*p**2 - 335*p\/2 - 111 = 0?\nAnswer: -111, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 700704, 1401686, 2102666, 2803644?\n\"Answer: -r**2 + 700985*r - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(7 + -5 - (0 + 1)). Let c = -0.2 - -9.2. Let s = -5 + c. Sort s, t, 0.5.\nAnswer: t, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27674356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2514 is divided by 76?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 629 - 202. Suppose 0 = -4*f + r + 253. Let d = f + 1211. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2 + 2 + -206. Let q = 206 + l. Is q >= -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -13*h**2 - 8*h + 2. Let f(u) = -u. What is -6*f(v) + x(v)?\nAnswer: -13*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmoejtmo. Give prob of picking 2 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5507475974 plus 3379?\nAnswer: 5507479353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + s**2 - 19*s**2.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1692*n**6 - 4*n**3 + 163202*n**2?\nAnswer: 203040*n**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*d - 84 = 0, 5*x - 232*d = -235*d + 148. Suppose -3*h - 26 = -2*n - h, 4*n + 4*h - 84 = 0. Calculate the remainder when x is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31199759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4310\/780 + (-144)\/(-468) + (34\/(-12) - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 4*q - 69 = 5*r, 5*q - 18 = -r. Is 3 + r\/3*3 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3 (b) 2.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2082089766 by 6.\nAnswer: -347014961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 4233, -2\/9, -6?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 30*p + 147. Determine k(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**3 + 8252*b**2 - 203896*b + 195648 = 0?\nAnswer: 1, 24, 2038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 865 + -513. Suppose 157*m + 372 = 3*k + 159*m, -2*k - 3*m + 228 = 0. Calculate the highest common factor of q and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 629 - 67. Let i = d - 1163\/2. Which is greater: i or -21?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (-1*sqrt(605))**2 - sqrt(605) - ((sqrt(605)*-1)**2 + 5)).\nAnswer: 12 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8687 or -8688?\nAnswer: -8687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2005467.\nAnswer: -5, -4, 2005467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000118 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 712\/5, -3\/5, 2\/149, -3, 4\/3 in ascending order.\nAnswer: -3, -3\/5, 2\/149, 4\/3, 712\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {p: 1, t: 1, o: 2, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*z - 3, 9 = 2*z - 5*g - 24. Let h be 1\/(23\/6 - z). Let x be 15\/9 + (-2)\/h. Solve l + x = -b, b - 2*l - 6 = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 102*a**3 + 4*a**2 - 8. Let u(t) = 3*t**3 - t**2 + 2. Give 4*u(g) + w(g).\nAnswer: 114*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010 + -100101001?\nAnswer: -11100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -11. Suppose -y*i + 145 = 3*h - 2*h, 55 = i + 2*h. Calculate the remainder when i is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 5 + 5)*(j - 4*j + 30 - 33).\nAnswer: 3*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 10900?\nAnswer: 119900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 35 = 2*k, -3*f + 4*k = 2*f - 45. Suppose 0 = f*g - 2*o + o - 63, 2*g - 2*o = 30. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.83645 - 23.0375. Let l = b - -5.2. What is l rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -100061\/493 and -202 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20 - 1)*7\/(-21). Let x(w) = 4*w**2 + 1. Let j be x(-1). Suppose j*o = u + 3. Let t(b) = -2*b**3 + 3*b**2 - b. Determine t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 = -10. Suppose -y*p + 3*n = -26, 2*p - 2*n - n - 10 = 0. Let c(s) = 3*s**2 - 8*s + 5. Does 19 divide c(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*k = -12. Let c = 0 - -1. Let p be (-3 - (-24)\/9) + c. Put 0.1, p, k in ascending order.\nAnswer: k, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/300 - v**4\/30 + 2*v**3\/15 - 3*v**2. Factor j(u).\nAnswer: (u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 less than -8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -51.4, 523, -1\/4 in descending order.\nAnswer: 523, -1\/4, -51.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*a - 96*a + 648*a.\nAnswer: 688*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 4*l - 408 = 0. Let b be (3 - -1)*17\/l. Suppose 0 = -c + 2*c. Put c, -5, b in decreasing order.\nAnswer: b, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c + 0*c)*(-5 + 3 + 0) + 0*c + 4*c - 6*c + (-3 + 2 + 2)*(-2*c + 6*c + 4*c) + (0*c + c + c)*(4 - 5 - 1) + 4*c + c - 4*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g**3 + 178*g**2 + 32*g = 0.\nAnswer: -16, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6488.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + c. Let j(s) = -s**3 + 8*s**2 - 6*s + 11. Let h(n) = j(n) + 3*u(n). Let z be h(5). Put z, -2, 4 in decreasing order.\nAnswer: 4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/69657 or 1?\nAnswer: 1\/69657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/45*6*(-13)\/((-156)\/90)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*k - 2*k**2 + 153*k - 10 + 10 in the form d*k**2 + y*k + p and give y.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/60)\/(360\/525 + 10\/(-35))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1273 and -2.\nAnswer: -0.2546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - (-30)\/(-6)) + 702 - 7?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 2:41 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 15*d**3 + 19. Let h(s) be the first derivative of -3*s - 34. Let r(f) = -6*h(f) - 3*q(f). Differentiate r(i) with respect to i.\nAnswer: -135*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y**3 + 12*y**3 + 12*y**3)*(297 - 3*y - 299 - 19*y) as a*y**4 + b*y**3 + v*y**2 + k*y + h and give b.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**4\/7 + 9*x**3\/7 + 11*x**2\/7 - 4\/7 = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1095*i - 2591*i + 1160*i - 1970*i.\nAnswer: -4496*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 220 = -5*s. Suppose 0*h + 30 = 5*h. Let o be 54\/15 + h\/15. Solve -n = o*n + s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-184)\/(-414))\/((8\/(-9))\/(-4)). Suppose 2*m - 494 - 178 = -c, -u*c - 1352 = -4*m. What is m rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -17*b**2 - 147*b + 599. Determine z(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(135\/36)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 o when four letters picked without replacement from aabdaaabdbaadoddab.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 w when four letters picked without replacement from mmwmhmmwmmhmww.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -12*t + 0*t**2 - 67 + 0*t**3 - 1\/5*t**5 - 1\/2*t**4. Differentiate c(k) with respect to k.\nAnswer: -4*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/3))**(-43))**(9\/2) assuming m is positive.\nAnswer: m**(-258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 244*a + 491. Let t(k) = -285*k - 492. Calculate -7*h(p) - 6*t(p).\nAnswer: 2*p - 485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1064\/152 - (2 + 1 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + v = -2007. Suppose 3*k + 4*j = 1040, k + 2*j - v - 121 = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/191, 1, 0.1?\nAnswer: 3\/191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -100000010001110011?\nAnswer: 100000010001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3.7569048 * -0.5\nAnswer: -1.8784524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 + 12*(-10)\/(-120) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -1\/3 (c) 0.89715 (d) -3 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 14, q: 4}. Give prob of sequence qmmm.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132233202333 + 0?\nAnswer: 1132233202333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q**4\/q*q))**(-1\/7))**(-46))**15)**(20\/3) assuming q is positive.\nAnswer: q**(-13800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/5*v + 1\/5*v**2 + 0.\nAnswer: v*(v + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 1 (b) 5348\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + (sqrt(432)*-2 - sqrt(432)) + sqrt(432) + 3) - -2*(sqrt(363) + 4*(-1 + sqrt(363)) + (sqrt(363) - (0 + sqrt(363) + 0))))**2.\nAnswer: -7584*sqrt(3) + 75468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1 = -2*x, 2*x - 212 = -5*c. Let l(a) = 39*a - 327. What is the lowest common multiple of l(10) and c?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3884166 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 189*r**2 - 4. Let v(o) = o**2. Give v(w(x)).\nAnswer: 35721*x**4 - 1512*x**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -183 - -671. Suppose -3*f + 4*q = 302, 3*f + q = -2*f - b. Let o be (21\/f)\/((-8)\/14). Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 3*w**2 + 2*w + 2. Let v be o(-2). Let h(g) be the third derivative of 0*g + 0 - 4*g**v + 0*g**3 - 5\/24*g**4. Let z(n) = n. What is h(z(f))?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17488 + 17484 + 0 + -91\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 10*h + 3. Let u be y(8). Calculate the highest common divisor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**5 - 172*z**4 + 1588*z**3 - 2276*z**2 - 1584*z + 2448 = 0.\nAnswer: -51, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5935760 to the nearest integer?\nAnswer: 2436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 2:05 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.53 times 1110\nAnswer: 588.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aya when three letters picked without replacement from {p: 4, a: 7, y: 3}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/5))**0)**(-40)\/((o**2)**8\/(o**(-3\/2)*o\/(o*o\/(o**(-5)\/o)*o*o))) assuming o is positive.\nAnswer: o**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44\/5? (a) -26 (b) -0.1 (c) 7 (d) -0.3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 273.9 + -249. Let r = -25 + f. Suppose -4*i + 6 = -2*v, 3*i - 2 = 3*v + 10. What is the third smallest value in r, v, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*b - 4*w - 23, -b + 17 = -w. Let t(x) = -x**3 + 2*x**2 + 3*x - 3. Let l be t(2). Suppose -b = -5*h + 2*h, -26 = -l*a - 4*h. Does 4 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24999 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 5*v**8\/336 + 5*v**7\/42 + 3*v**6\/8 + 7*v**5\/12 + 5*v**4\/12 + 294*v**2. Find i, given that m(i) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 31*q**2 + q. Let p be u(-2). Suppose 6*a = -s + 2*a + 62, -3*s + p = -4*a. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 527 and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 - 7*i + 2. Let j = 58 - 63. What are the prime factors of o(j)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200721*f - 268465.\nAnswer: 200721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-12))\/(35684\/12165)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-212)\/(-12) - 0)*-3. Let t = x - -268\/5. Let i = 203 - 207. Which is the third smallest value? (a) i (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2685212470 - -1?\nAnswer: -2685212468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10*u - 18. Suppose 2 = -q - j, q - 2*j - 4 - 3 = 0. Let y be (8 - (-3 - -8)) + q. Is 11 a factor of g(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.9, -242, 2, 0.03, -2\/7, 1, 5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1059 and 629752.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 + 15*w + 18. Let u(m) = 5*m**2 + 15*m + 17. Let v(n) = 4*j(n) - 3*u(n). List the prime factors of v(-16).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.079 - 0.0238. Let w = u - 0.1552. Let v = 97 + -587\/6. Which is the closest to 1? (a) w (b) 6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 17*u - 14*u. Let y be (u\/33)\/(2\/(-4)). Which is greater: -0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 98, 198, 324, 488, 702, 978, 1328, 1764?\n\"Answer: 2*p**3 + p**2 + 83*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -126. Suppose i + 90 = 5*v. Does 29 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3*h + 8)*(2*h - h - 3*h) + (5*h - 3*h + 0*h)*(h - 6*h + 3*h).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -18. Suppose -z*p = -3*p + 3*s - 9, -2*s = -6. Suppose -3*c + c = p. Solve -6*n - 5*h + 5 = -n, -5*n - 4*h = c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**4\/4 + z**3 - 3*z**2\/2 - 4*z + 6. What is the units digit of i(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 + 84 = 4*l, 3*l = -2*u + 62. Let n(y) = 3*y**2 + 7*y + 10. Let c = -16 + 11. Let q be n(c). Calculate the highest common factor of l and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.12 + -3.88. Let o = 2 + z. Which is the biggest value? (a) -0.3 (b) 4\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 5. Suppose -1 - 11 = -3*h + 5*n, -2*h + 4*n = -m. Solve 0 = -3*v + 4*k, -h + 2 = -v + 2*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10 + (2 + -1)*-2)\/(-2). Let n = 1.627 - 1.327. Put n, -8, r in increasing order.\nAnswer: -8, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4200904 is divided by 574.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200556359?\nAnswer: 5807, 34537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1479, -1492, -1505, -1518, -1531?\n\"Answer: -13*o - 1466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(1\/2)))**21*t\/(t*t**(-4)*t)*t**5)**(3\/11) assuming t is positive.\nAnswer: t**(-15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -12.3. Let q = 1.3 + w. Let i be (-1)\/((0 - (5 + -3))\/2). What is the smallest value in 0, q, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163651 (base 8) to base 11.\nAnswer: 40614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 13 = l. Let v be (8 - 2\/l)\/3. Factor 2*o - 1\/2*o**v + 0.\nAnswer: -o*(o - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:18 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + 3*sqrt(156)*1 + 2*sqrt(156)*-1)\/(sqrt(12)*3*-3 - 3*(3*sqrt(12) + sqrt(12))).\nAnswer: -2*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k**3 + 4*k**3 + 5 - 2*k**3 - k**3 with respect to k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2994, 5927, 8822, 11679, 14498, 17279, 20022?\nAnswer: 22727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(343) + -3)**2.\nAnswer: -70*sqrt(7) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2465, 1\/296, 3\/5?\nAnswer: 2465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.5 (b) -4 (c) 0.2 (d) 3563\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -1\/2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1789514*l**2 - l - 94250?\nAnswer: -3579028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1502*w + 927*w + 63099 = 1762*w for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-3)\/(-54)*-135 + 2 + 8?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4206012 by -1051503.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h = 8. Suppose -4*k = 2*t, 0 = 4*t - k - 2*k - 11. Let r be ((-6)\/9)\/(1\/(-15)). Solve 7*j + t*v = 3*j + r, 2*v = h*j - 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11825031 - -5084753201\/430. Let s = 12\/215 + c. What is the common denominator of (-4)\/(-10) - 49\/10 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 286 = 4*j, 4*j = -0*j - 5*i + 270. Let r = -50 + j. Suppose 24*q = 16 + 176. What is the remainder when r is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 - 72*n**3 + 525*n**2 - 450*n.\nAnswer: -3*n*(n - 5)*(n - 1)*(n + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + w**2 - 5*w**2 + (-3 - w + 3)*(0*w + 0*w - w) - 14 - 8*w**2 + 11*w**2 - 5.\nAnswer: w**2 - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, 8, -327, -7 in decreasing order.\nAnswer: 8, -7, -124, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 12:05 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 502, 1360, 2602, 4228?\n\"Answer: 192*k**2 + 282*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005107389 rounded to 6 decimal places?\nAnswer: 0.005107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3264*j = -3265*j + 5153. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 68, 156, 260, 380, 516, 668?\n\"Answer: 8*f**2 + 64*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 2:37 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1315803 is divided by 407.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1361706531?\nAnswer: 3, 619, 733283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92909 or -6529?\nAnswer: -92909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-6 + 9 + -3 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o + 4. Suppose -15 - o = -4*r. Suppose -2*x - a + 5*a = -952, r = 2*a. Round x to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -56*r - 57*r + 167*r - 53*r + 6. Give d(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 17\/12*h**3 - 10\/3*h**2 - 1\/12*h**4 - 25*h + 0 = 0. Calculate h.\nAnswer: -3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7085.\nAnswer: 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, c: 7, g: 2}. What is prob of sequence ff?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**3 + 2*s**2 - 4*s - 4. Let d(j) = 4*j**3 + 2*j**2 - 4*j - 3. What is -4*d(h) + 3*p(h)?\nAnswer: -h**3 - 2*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f*j**4 - 132*f*j**2 + j**5 + j**4 wrt j.\nAnswer: -120*f*j + 60*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5389340800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*n + 8715 - 1895 = 0 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/5040 and -23\/140.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 300 + -149. Find the third derivative of -23*s**2 + 131*s**2 + 81*s**4 - w*s**2 - 26*s**4 - 134*s**2 wrt s.\nAnswer: 1320*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3364.863 + 4\nAnswer: -3360.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 17*n + 11. Let z be u(-8). Suppose -z*q - 2*k = -15610, 0*k - 4*k = -q + 5180. Round q to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15286733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1731410175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1930 or -640?\nAnswer: -640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3*t + 13 = 0, n - 1 - 10 = 4*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/((-777)\/(-387) + 2*-1) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5 + 458*y**4 + 78550*y**3 + 6004388*y**2 + 176230153*y + 329063858 = 0. Calculate y.\nAnswer: -127, -101, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 + 14*o**2 + o + 7. Let u be j(-7). Suppose -28 = 177*t - 91*t - 93*t. Solve -12 = -u*b - t*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(847) + (sqrt(847) + 1 - sqrt(847)))**2 + ((sqrt(847) + -2*sqrt(847))**2 + sqrt(847))*6 + sqrt(847).\nAnswer: -33*sqrt(7) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.28235.\nAnswer: -0.084705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 782 divided by -34?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/2 (c) 2\/11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**5*x)\/(x*x*x**(1\/4))*(x**(2\/5))**(-43\/4) assuming x is positive.\nAnswer: x**(9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-12))\/(((-9)\/(-60))\/1). Let q = 67031\/14 - 4790. Find the common denominator of q and 455\/h*1\/(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 13*c = -0*s - 11, 3*c - 7 + 2 = -3*s + 8*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from flpafaaaffkfkkkf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2958 and 26\/31705.\nAnswer: 5516670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 11) to base 7.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54604 (base 12) in base 11?\nAnswer: -76818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*v - z + 37, 5*v + 4*z - 230 = 0. Let q = 13 + 4. Calculate the remainder when v is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 2*p + p - p - 2*p + 4*p + (-1 + 3 + 0)*(1 - 1 - p) + 72720 + 5*p - 7*p - 79630 + p as i + x*p and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/42)\/((-8)\/(-84)*9). Let p be (-1)\/((-3)\/(-3))*3. Which is the nearest to -0.1? (a) p (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -59.8 from -0.1661815.\nAnswer: 59.6338185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q - 7*q - 9*q + (-1 - 2 + 5)*(3*q + q - 2*q) as t + r*q and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9010 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 249430 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 11) + -1 + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*n - 810*n = -338*n - 1156 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.16 - 0.14. Let z = -69 - -48. Let n = z - -18. Which is the closest to 0? (a) n (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*p = 4*o - 1052, 2*o - 5*p - 538 = 0. Suppose 0 = -4*g + 4*q - o + 52, 2*g - 5*q + 121 = 0. Find the common denominator of g and 113\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153.97 + -149.97. Which is the second smallest value? (a) -1\/2 (b) s (c) 454\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 329*m**2 + 314 wrt m.\nAnswer: 658*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22353, 44358, 66377, 88410, 110457, 132518, 154593?\n\"Answer: 7*y**2 + 21984*y + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, 2\/3, -2, -0.5, -0.1, -80 in decreasing order.\nAnswer: 2\/3, 0.16, -0.1, -0.5, -2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23a - 1b?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130 by 1.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35932619 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218652\/17 - -12862. Let f = 0.25 + 0.05. Which is the closest to -1\/9? (a) 1 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**5\/180 - 19*w**3\/54 + 5*w**2\/3 + w - 932. What is k in d(k) = 0?\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-79)\/((-10744)\/60))\/(-15)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*((sqrt(156)*-2 - sqrt(156)) + sqrt(156)) - sqrt(156))\/((sqrt(72)*2 + sqrt(72) - sqrt(72))\/sqrt(6)).\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10069 or -1097546\/109?\nAnswer: -1097546\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 2. Suppose -b + 135 = 4*w, 40 - 1 = w + 2*b. Let j = 38 - w. Calculate h(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3038, 2944, 2692, 2204, 1402, 208, -1456?\nAnswer: -3668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, h: 2, s: 5}. What is prob of picking 2 h and 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -72123129*f. Let h(j) = -3*j. Determine h(q(k)).\nAnswer: 216369387*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 66 = 844552*v - 844553*v for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 819, 892, 1023, 1242, 1579, 2064?\nAnswer: 2727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 6*u + 3. Let d be g(6). Suppose -5*t + a + 3*a = 19, 6 = -t + d*a. Let w be (((-18)\/3)\/t)\/1. What is the closest to -2\/5 in 2\/5, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 62 = -5*r, 3*r = 7*r + 4*c - 72. Suppose -r + 8 = -3*i. Let w(v) = 10*v - 8*v - 1 + i*v. Determine w(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-10) + 1 - 10143\/(-24745). Let p = 797\/1111 + j. Which is bigger: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 9*w**2 + 5*w - 62. Is 24 a factor of k(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1237040 and 1175.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44763931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + m = -m - 406, 5*v = -2*m + 1029. Suppose 7*g = 2*g - v. Let h = 61 + g. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1362*p + 510*p - 572*p to the form o*p + i and give o.\nAnswer: -1424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 6. Let v be q(6). Let a(l) be the first derivative of v*l + 0*l**3 - 1\/2*l**4 + 1 + 0*l**2 - 2\/5*l**5. Suppose a(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 17 - 20 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 3*y**3 - 4*y**2 - 8. What is the second derivative of o(i) wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 q when four letters picked without replacement from {g: 2, q: 17}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*sqrt(4235)*-3)\/((sqrt(720) - 4*(sqrt(720) + -2*sqrt(720)) - sqrt(720)) + 6*(sqrt(720) + -1*sqrt(720))).\nAnswer: 165*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -65, 1\/34, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223 by -4547.\nAnswer: -223\/4547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -14, 0.2, 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22454*-181.\nAnswer: 40.64174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -130 + 106. Solve -21 = -14*i + 18*i - 3*j, 3*j = -4*i - w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*q = -316921987 + 20733888. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 g when four letters picked without replacement from {g: 4, w: 10}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 615 and 71398056?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4059 and 38868?\nAnswer: 1282644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + ab?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**3 - 7*f**2 - 5*f + 5. Let k(i) = 5*i**3 + 13*i**2 + 10*i - 9. Let l(p) = 4*k(p) + 7*u(p). List the prime factors of l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 16 = 40. Suppose -5*u + 217 = 217. Suppose -3*y + 4*y - 14 = u. Calculate the greatest common factor of k and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35135112 (base 8) to base 14.\nAnswer: -1031bd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 6*t**2 - 8*t - 4. Let o be c(-7). Suppose 3*u - h + o*h - 36 = 0, -h = 3. What is the remainder when u is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - u = 65 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m - 30. Let i be a(-5). Suppose -z + 4*l = 8 + i, 4*l - 1 = 5*z. Sort -2, -3, z, 5 in decreasing order.\nAnswer: 5, z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h. Let n = h - -4. Suppose -18 = -n*x + 62. Calculate the greatest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 33 - 11 + 8)*(176 - 82 + 71).\nAnswer: -330*g - 5940","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eegjfefvee. What is prob of sequence ge?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m - 22*m + 2*m)*(4*m**2 + 6*m**2 - 5*m**2) + 9*m - 2*m**3 + 13*m - 18*m in the form p*m + q*m**3 + z + h*m**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 1380 = 14*j. Suppose -272*g + j*g = 0. Solve 6*q + g*q = -12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 5:06 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152 = -5*g - 2*t, 9*g - t - 1164 = 4*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21824751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8461288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -589.46608 to one decimal place.\nAnswer: -589.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 + -2)*((-2)\/(-4) + -1). Are h and -14\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/7)*x*x*x*x**(-1\/4))**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328276 divided by -49?\nAnswer: -1328276\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695 = -5*i + 160. Let d = -75 - i. What is the lowest common multiple of 16 and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3384 = -40*n + 3864 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 3*j**3 + 56658*j**4 + j - 56134*j**4 - 2*j**3 - 2 to p*j**3 + t*j + o*j**4 + r*j**2 + d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 320*3.1765\nAnswer: 1016.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5506 - 90*j - 5506.\nAnswer: -90*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (167 - 5)\/(-9) - -265.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 16*g**2 + 20*g. Let d(p) = p**3 - 15*p**2 - 15*p + 1. Let o be d(16). What is the units digit of f(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 259 (b) 38 (c) 4\/7 (d) -2\/7 (e) -1\/4 (f) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92568107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 8. Let l = 4 + 1. Let y be q(l). Sort y, 0, -4 in increasing order.\nAnswer: -4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -223, -4.862, -1\/3.\nAnswer: -223, -4.862, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)\/i)**42*(i\/(i**0\/i))**(1\/13) assuming i is positive.\nAnswer: i**(-726\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/4 + p**3\/3 + 5. Let y(l) = -18*l**3 + 42*l**2 - 40*l + 8. Let i(a) = -4*c(a) - y(a). Factor i(s).\nAnswer: 2*(s - 2)*(s - 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6067 = 314*o - 2299 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14 + -3 + 0 + -3. Let n = a + -6. What is the closest to n in 5, 1\/3, 2\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 550603530 divided by -3\nAnswer: -183534510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 19 - (20 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-580)\/(-87) - (192\/(-18))\/(-4). Let g(q) = -q**2 + 9*q - 13. What is g(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1875*t**3 - 12775*t**2\/3 - 1936*t\/3 - 76\/3.\nAnswer: -(9*t + 19)*(25*t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of (-6)\/1*(-41)\/(164\/840)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 9 = j - 4*o, 55 = -9*j + j + 15*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62706 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4055 - 3922. Calculate the remainder when 161 is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122 - -123. What is the tens digit of (u + (-3)\/4)\/((-8)\/(-3488))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 303.467.\nAnswer: 910.401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -20*c + 23*c + 3, -3*c = -5*j + 27. Sort -2, -5, 5, j.\nAnswer: -5, -2, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w + 2. Let l = -13920 + 2658714\/191. Is w < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**5\/5 + l**4\/4 + l**3\/3 + l + 3. Let a(v) = 6*v**4 - 8*v**3 - 2*v**2 - v - 5. Let w(z) = a(z) + 5*q(z). Factor w(m).\nAnswer: m*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 + 3.1. What is the second biggest value in 0, -3\/5, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*c**3 - 52*c**3 + 57*c**2 - 218 - 14*c**2 + 218.\nAnswer: 43*c**3 + 43*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365602 is divided by 2308?\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -97*d - 121 + 226. Put d, -19, 7, -8 in descending order.\nAnswer: 7, d, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133346700 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26673024 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6602567870 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10211220 (base 3) to base 7.\nAnswer: 11115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = 36. Let y = -11 + k. Let m be 27\/6*16\/2. Calculate the greatest common divisor of m and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 43. Let w = 18 + x. Solve 0*n + w = -7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 3*y = -4692. Let o = 18 - y. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + (-16 - -19)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 + -80. Suppose 0 = -4*s - l*j - 6, s + 2*s = -2*j - 4. Solve -4*d + 22 = -3*v, 0 = 4*v - s*d + 2*d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.29 + -11.29. Which is the closest to p? (a) 0 (b) 2\/15 (c) 2\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 583 - 290. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 78*k + 25. Let h be r(6). Suppose 6*i - h = 1235. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 6*m + 9. Calculate n(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2037 divided by 48227.\nAnswer: -2037\/48227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3231658.\nAnswer: 2, 61, 26489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 3, l: 5, f: 3, h: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.078 + 0.122. Put y, -1.5, 1 in decreasing order.\nAnswer: 1, y, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 611 by 13.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 3:21 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(53\/(-26) + 2). List the prime factors of 1*(278\/(-6))\/(h\/78).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.626 and 1.2.\nAnswer: 3.1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2022607?\nAnswer: 19, 106453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**2 + b - 1. Let o(z) = z**3 - 19*z**2 - 78*z - 8. What is 4*f(t) - o(t)?\nAnswer: -t**3 - t**2 + 82*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -311 by 1307116.\nAnswer: -311\/1307116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from cpppvlvaavlpapacpc?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipp when three letters picked without replacement from {p: 3, o: 4, z: 1, i: 9, h: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 5 - (1 - -11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5396000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 136*o + 2515. What is x(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531 + 952 = 22*u + 185. Solve -y + 5 = -3*k, -u*k + 64*k = 5*y - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*x, -3*x - 33 = -5*a + 2*a. Let n(h) = 4*h**2 + h**2 + h**2 - 7*h + h**3 - 5 - h**2. Let w be n(-5). What is the greatest common factor of a and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/150)\/(-228*54\/(-1080))\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4842, 5630, 6922, 8718?\nAnswer: 11018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 7:53 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 0, -13.2 in descending order.\nAnswer: 0, -0.04, -13.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 5987.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46304 - 92257 + 38*r + 45953.\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*d + 2*d + 187 = 0, -3*a - d + 546 = 0. What are the prime factors of a?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2303 - 2.1703. Which is the fifth biggest value? (a) 0.1 (b) -0.3 (c) z (d) 4 (e) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 = 3*g, 2*g + 20 = 6*g. Let x(b) = 10*b**2 + 17*b - 44. What is the hundreds digit of x(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61380 and 31155?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36464 - 36463.9. Which is the closest to p? (a) -1 (b) -0.83 (c) -5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167 + 1243601?\nAnswer: 1243412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n + 2. Let f(u) = -1. Let l(s) = a(s) + 6*f(s). Let t be l(-4). What is the units digit of (-2)\/(4\/(-3))*(-256)\/t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/10 and 49\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2 - 442990*t + 886000 = 0.\nAnswer: -88600, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38)\/sqrt(2) + 4 + -2*sqrt(76))*-4)**2.\nAnswer: -384*sqrt(19) + 2992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2933\/4 - 711. What is the common denominator of -42\/5 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.33 + -0.63. What is the third smallest value in 1\/9, a, 6\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 32.3 (b) 0.27 (c) -101\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 3*o**3 + 4*o**2 + 49*o. What is the units digit of s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/727 (b) -1\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12852 times -0.1?\nAnswer: 1285.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(7) - (sqrt(700)*-3 - sqrt(700))).\nAnswer: sqrt(5)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*f**3 + 200*f**3 - 280*f**3.\nAnswer: -162*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7199 + (14 - 10)*(-3)\/(-4)?\nAnswer: 2, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, z: 2, g: 1}. What is prob of picking 3 z and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 2*r + 3. Let g(q) = -2*q**3 + 1. Let i be g(1). Let l(b) = -1. Suppose 3*x - 3 = 6*x. Calculate i*l(n) + x*o(n).\nAnswer: 2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -460 - -1477\/4. Let m = v + 90. Let k = -0.19 + 0.09. What is the second biggest value in k, m, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-21)*(12\/((-228)\/(-323)) + -13).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 25584 by 16.\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 7. Let o be n(4). Suppose 351 = 5*j - 3*a, -5*j - 3*a = -o*j - 153. Suppose 2*l = -4*l + j. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 5 - 10*l - 4 + 24*l - 7)*(12*l**2 - 37*l**2 - 30*l**2).\nAnswer: -770*l**3 - 440*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3118834073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -30*u - 98. Let m(w) = 10*w + 36. What is 3*l(i) + 8*m(i)?\nAnswer: -10*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.03, 2, 0.195, 4\/11, 0.28?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53474*b + 53512*b - 1672 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 138, 286, 498, 780, 1138, 1578?\nAnswer: 2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minus 44995962.81?\nAnswer: -44995858.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*h + 18926, -s - 4*h + 9*h + 6342 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 49*q**2 + 21*q - 26. What is the tens digit of n(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 71?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3843 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 152580.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0625095 rounded to three decimal places?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2384*-5*(1 - -4). Round t to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 9:41 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 3*m**2 + 4. Let k be v(-3). Suppose 0 = k*h - 16, 0*p + 2*p - h = -4. Solve p = d + 1, 0 = 4*n + d - 2*d - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 466208211699?\nAnswer: 466208211702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2*p = -4*p - 19 - 3, 3*w - 3*p = -298 + 319 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 12:44 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-4))\/(27\/(-9)))\/(14\/(-7)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 5*d - 2. Let q be u(-5). Let r = 50 - 59. Put q, r, 1 in decreasing order.\nAnswer: 1, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5)\/d)\/(d*d**(-1\/3)))\/(d**(-7)\/d*d*d**(-4\/5)*d*d) assuming d is positive.\nAnswer: d**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 385413 + -81413. Round t to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3080713 is divided by 68460.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8397, 8402, 8407, 8412?\nAnswer: 8417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.69 - 1.8. Let h = 3.311 + l. Let j = -0.17 - h. Round j to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13 - 4)*(-4 + (-13)\/(-3)). What is the highest common factor of 6 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 78326, -13 in increasing order.\nAnswer: -13, 18, 78326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 + 2*x + 6. Let k be f(-3). Let m = k - 24. Solve m*h - 12 = 7*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4004 and 2286361?\nAnswer: 118890772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 130*u**2.\nAnswer: -130*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + t. Let w(i) = -2*i**3 + 2*i**2 - 2*i + 3. Let s(f) = -5*o(f) - w(f). Let y(d) = d**3 + d**2 - d - 1. Determine 5*s(n) - 15*y(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6459 + 82618 = 317*u. Solve -u*m = -293*m + 48 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 259189681 and 0.2.\nAnswer: 259189681.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.4 + 20.1. Let d = v - 50. Sort 1, d, -2\/5, 0.\nAnswer: d, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.074 - 0.074. Suppose a = -i - 2 + 10, -5*i = 3*a - 32. Suppose -12 = -g - i*r, 3*g - 8*r + 3*r = -32. What is the third smallest value in -0.2, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*y**2 - 35228190*y + 6894585392645.\nAnswer: 5*(3*y - 1174273)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 1484904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147\/2 - -507\/7. Let b be (146\/6)\/(64\/6). Let a = 451\/160 + b. Calculate the common denominator of p and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-10)*8\/3*(-2385)\/636.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) -18\/538735 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**5\/15 + g**2. Let u(x) = 13280 - x**2 - 13280. Calculate a(u(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38293*u**3 + 46821*u?\nAnswer: -229758*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-16))\/(-7*(-7)\/(-196))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -711, -4394, -14389, -33852, -65939?\nAnswer: -113806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4 + sqrt(1088))*6 + sqrt(1088) - -4*(sqrt(1088) + ((sqrt(1088) - (sqrt(1088)*-1 - sqrt(1088) - sqrt(1088)))*-1 - sqrt(1088))))**2.\nAnswer: 3600*sqrt(17) + 88753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/25 - -6\/25. Let l be -2*(2 - 1) - 45\/(-20). Do r and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - x + 9 - 2 = 0, 0 = -3*k - x + 1. Let l(z) = -2*z + 1. Let y be l(k). Suppose 2*u = -u - y. Which is smaller: u or 3\/10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/6 (c) 6 (d) -3.49 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 671760 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -919 + 457 + 462 - 6*m + 5*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*m**2)*(2*m**2 + 1 - 1).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106095551 to the nearest integer?\nAnswer: 10300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 55 = -128. Let a = o + 156. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 22021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6788031?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -19. Let o = -6 - n. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8440, 8247, 8054, 7861, 7668?\nAnswer: 7475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 67*n**6\/30 - n**5\/60 - 5*n**4\/8 + n**3\/6 + 57*n**2 + n - 1. Find the third derivative of f(j) wrt j.\nAnswer: 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*k = 58, 328*y - 330*y + 3*k + 62 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.794 + 0.006. Let z = 18 - d. Is -3 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(272) - (sqrt(272) + -1 + -3))**2 - (sqrt(272)*2*6)**2) + -2.\nAnswer: -39157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/1409 - -52142\/12681. Let x = 13\/9 - t. What is the common denominator of -37\/27 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7051.1226 + 7049. Round v to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2442 (base 7) to base 14.\nAnswer: -492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1216\/(-3040))\/((-14)\/30)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2262 = 277*r + 3222 + 4580 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925344?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -978922*r = -978876*r + 1334 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 49) + 201 - 50?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3477.\nAnswer: 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672 divided by -2?\nAnswer: -836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3 + 592*h**2 - 44968*h + 170528 = 0.\nAnswer: 4, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:43 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/34*((-46)\/(-5))\/(-23)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 95*k + 1436 = -99*k, 0 = 3*i - 3*k - 861. Calculate the highest common factor of 256 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23.76713 and 24?\nAnswer: 47.76713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -124, 0, -3\/8, 4, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.04252 and 146.2867?\nAnswer: 146.24418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 3*y + 1. Let a be h(-2). Let m(s) = -6*s**2 - 3*s. Let n(f) = -13*f**2 - 7*f. Determine a*n(o) - 7*m(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from {x: 2, y: 7, p: 2, u: 4, n: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.1, 5, 1175\/99, 1\/6?\nAnswer: 1175\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/6 - 148*v**2\/3 + 295*v\/6 = 0. Calculate v.\nAnswer: 0, 1, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-27) - (-655)\/1965\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 588646 + -419723. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -35769 and -40922 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.02 + 0.02. Which is the second smallest value? (a) 2\/11 (b) -0.9 (c) -4 (d) k (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189932521?\nAnswer: 53, 601, 37357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-6)*-1 - 3\/(-22)*(-4400)\/(-66)?\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-182)\/49)\/(2\/42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 1, t: 1, q: 1, v: 1, h: 2}. Give prob of sequence qv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/355 and 87\/40?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.42 (b) 7\/64 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 15, 25, 17, -21, -101?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 25, -2, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.05 - -4. Let u = 0.25 + z. What is the closest to 1\/2 in u, -1, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9334 and 6919?\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 746 - 2006. Let w = -197 - x. Solve w*p + 8 = 11*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -178853264 >= -178853263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -3\/2, -15, 16, 1.84?\nAnswer: 1.84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2104591*l**3*x**3 - 73*l**2*x**2 + 5*l**2*x + 2*l + 22*x**3 + x**2 wrt l.\nAnswer: 12627546*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124238 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8910743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5)*((-1)\/(-41) - (-855384)\/50389).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11061455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}