diff --git "a/data/dm_maths/full_data_1/10975_11255.jsonl" "b/data/dm_maths/full_data_1/10975_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10975_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d = 1748 + -1752. Let q(w) = 5*w**3 + 15*w**2. Let r(g) = 6*g**3 + 15*g**2. Give d*q(b) + 3*r(b).\nAnswer: -2*b**3 - 15*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3135 = 2*n + 13*n. List the prime factors of n.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -3106609364.7053.\nAnswer: -3106609364.2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096873936 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 + 13311*k\/5 - 563128.\nAnswer: -(k - 13096)*(k - 215)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times 0.6198?\nAnswer: 13.6356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1609139 is divided by 321826?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1 (c) 0.182334\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1421332.\nAnswer: 2, 11, 32303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 960?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249877?\nAnswer: 79, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 121, -2, 5, -4 in decreasing order.\nAnswer: 121, 5, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3636544480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*1)**2*-6*5.\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 36*b + 32*b + 101, 0 = -3*s - 5*b + 106. Solve 2 = s*f - 25*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1849631*j. Let z(f) = 3*f**2. Determine y(z(h)).\nAnswer: -5548893*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8950 - 12538 = -32*i - 2640. What is the highest common divisor of i and 380?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -36. Suppose -10 = -4*w + p. What is the second derivative of 2*k + 4*k**2 - w*k**2 - 4*k wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -9*v - 116 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 693 - 308 = 5*j, 0 = -j + 5. Suppose 4*p - 127 = -3*z + 28, 42 = p + 4*z. Calculate the highest common divisor of p and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x + 54. Let q be t(6). Let v be (-4)\/5*125\/10. Let i = q + v. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 12:48 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**4\/4 - 7*g**3\/3 + 3*g**2\/2 - 3. Let f = 31 - 41. Let s be (6\/f)\/(5\/(-50)). Give q(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h - 3. Let c be g(-3). Suppose f - c = -3*f. Let y(a) = a**3 - 6*a**2 + 4. Let w be y(f). Solve -24 = -w*q + 2*o, 3*q - 2*q + 12 = -4*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252179407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/5))**(-5\/6)*(l**34*l)**50 assuming l is positive.\nAnswer: l**(3499\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, 4, 2 in increasing order.\nAnswer: -10, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1332435 (base 6) to base 13\nAnswer: -27b87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.082 - -0.482. Which is the second smallest value? (a) j (b) -1.8 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-6)*f\/(f*f\/f**7))\/(f**(-1\/4)\/(f*f**(-7)\/f*f))*f\/f**8*f\/f**(2\/7)*f*f\/f**(-1\/7)*f**(1\/4)\/f assuming f is positive.\nAnswer: f**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r + 2. Let z be w(0). Find the first derivative of -11*t**2 - 6 + 2*t**3 - 8 + 11*t**z wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89805 divided by 12\nAnswer: 29935\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*v + 27*v = 34*v - 992 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1066.39 - -733.1. Round b to the nearest integer.\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7129 - 7129.3807. Round y to two dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 2\/21 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2227.029 + 0.4\nAnswer: 2227.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4*18\/(-132))\/(10\/3300*5)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 19 = y, 4*y = 362*f - 363*f + 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/297*72\/(-48).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4\/7, 7.7, -0.2, -269954?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, a: 5}. Give prob of picking 4 a.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-120))\/((-37)\/(1480\/(-48))).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -44 - 56. Let r = -59 - -84. Suppose 5*t + r = 6*t. What is the highest common divisor of p and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.117? (a) 7 (b) -119 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 - 3086723*k - 9527858878729.\nAnswer: -(k + 6173446)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - o**2 + 2*o. Let g = 17 + -15. What is the units digit of y(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3642?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 1 - 11 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.75 + -2.25. Which is the closest to -0.1? (a) 2\/11 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 255.68 - 274.227. Let u = 0.053 - y. Let a = 19 - u. Which is greater: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4150 and -0.056?\nAnswer: 232.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8695654.9 and 5?\nAnswer: 43478274.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -42.1. Let j = u - -4.68. Round j to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 3:11 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -144a (base 13) in base 5?\nAnswer: -43220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let z(o) = o + 1. Let j(x) = -2*x - 3. Let h(l) = 2*j(l) + 5*z(l). Let m be h(w). Put m, -4, 3 in increasing order.\nAnswer: -4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -64*f**2 + 6*f - 5284. Let c(d) = -154*d**2 + 14*d - 13210. What is -5*c(u) + 12*n(u)?\nAnswer: 2*u**2 + 2*u + 2642","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 + -13 - -19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - 1.2. Round a to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 767762379*z**5 - 404597100*z wrt z?\nAnswer: 15355247580*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*r - 2 = 2, 0 = -f + 2*r + 11. Let x be 4\/2 - (-845 + 0\/(-1)). Let d be (-11)\/(x\/(-14)) - (-31)\/11. Solve -d*h + 0 = -f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 21.2. Let o = s - 0.7. Round o to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6. Suppose -5*w + 8*w - 3*i - 15 = b, 15 = -5*w - 5*i. Let u(r) = -r**2 - 7*r + 6. Let h be u(-8). Sort 3, w, h.\nAnswer: h, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 1\/2*v**4 + 2\/3*v**3 - 3 + 0*v + 0*v**2. What is the third derivative of k(l) wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 t when three letters picked without replacement from yyjjyjjyyjjtjyyjjjy.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from ehhajjhjhhjhahhej?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from ubbibibicciiiiibcib.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 36915844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 32, 88, 186, 338, 556, 852?\n\"Answer: 2*x**3 + 3*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 5*g**2 - 5*g + 2*g**4 + 11 + 9*g**2 - 5*g**2 in the form i*g**2 + t*g**3 + d*g**4 + o + y*g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -163, -592, -1301, -2284, -3535?\n\"Answer: w**3 - 146*w**2 + 2*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -780*r**2 - 186*r + 395*r**2 + 97*r + 89*r + 387*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12)*u**(-2\/3))\/(((u**(-5)*u)\/u)\/u*u\/u**6) assuming u is positive.\nAnswer: u**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/(((-4186920)\/72)\/(-41)). Is q at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133212 + 1013?\nAnswer: 200231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, 54, 162, 328, 558, 858, 1234, 1692?\n\"Answer: i**3 + 20*i**2 - 11*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 86470.898?\nAnswer: 86474.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026068 rounded to five decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 + 151*u**2 - 410*u - 210. Calculate w(73).\nAnswer: -3495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmmzdmmzmdmm. Give prob of sequence dzzd.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-384)\/(-160)*-2)\/((-2)\/((-40)\/(-6)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 504446, -5, -61 in descending order.\nAnswer: 504446, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5.835 times 4\nAnswer: -23.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-630*l**2 - 169*l**3 - 639*l**2 + 1272*l**2)*(11 + l + 7 + 2*l) in the form f*l**3 + u*l**4 + n*l + p + q*l**2 and give u.\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*c - 5473 = -4*d, c = -4*d + 4376. What is the common denominator of d\/(-78) - (-6)\/(-39) and -67\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 m when three letters picked without replacement from mmmmss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 3\/5 (c) 3\/4 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54173\/11682 - 1\/1062. Let v = -4 - -2. Calculate the common denominator of j and v\/15*125\/4.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681905367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -24 + 12 + 22 + 3 - 2*m - 8*m**2. Let h(a) = -a**2 + 3*a + 1. Let n be h(2). Let k(o) = 23*o**2 + 7*o - 38. Let l(v) = n*k(v) + 8*b(v). Factor l(w).\nAnswer: 5*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*t - 9*w + 7*w, 0 = -5*t - 4*w - 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 22 = 2*f, 3*f + 9 = -3*c + 24. Suppose -4*q - f = -g, 5*q = 4*g - 1 - 3. What is the tens digit of (22 - 6) + q + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11*r**3 - 17*r**2 + 17*r. Let l(u) = -4*u**3 - 6*u**2 + 6*u. Let i = -2 - -1. Let b be -2*4 - 2\/i. Give b*o(m) + 17*l(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -651312 to the nearest ten thousand.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 6:30 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r - 24 = 38*r. List the prime factors of 784\/4 - (36\/(-2))\/r.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4673c (base 14) in base 6?\nAnswer: 3402122","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36900938.\nAnswer: 2, 18450469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 1, g: 3, i: 6, l: 6}. Give prob of sequence hi.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 39. Suppose 3 = q - 2. Suppose 0 = -3*i + q*n + 24, 2*n - 2 = i - 3*n. Calculate the greatest common divisor of z and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1\/21, 0.4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, -5 in decreasing order.\nAnswer: 1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -176, 3, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/27225 and -117\/12100.\nAnswer: 108900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, k: 1, u: 3, o: 5, y: 1, g: 3}. Give prob of sequence fuo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2984 and 15293?\nAnswer: 122344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 4\/2 - (591 + -581)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9784098.\nAnswer: 2, 3, 409, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0281052 tonnes to milligrams.\nAnswer: 28105200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19)*-2 + -5)) + (sqrt(57)\/(sqrt(3) + sqrt(3)*1))**2 + 5 + -4.\nAnswer: 43\/4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 261559452 to the nearest integer?\nAnswer: 16173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -0.5 (c) -23\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 16*m - 374. Let q be d(-29). Solve -5*w = -4*n + 6, -13 + 11 = -q*n + 5*w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166105 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/2)\/(12\/(-16)). Solve 0 = -4*a + 2 + o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 3)\/(9 + (-301)\/35).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297280 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.4 - -2.4. Let c = q - -6.5. Round c to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -120 from -1955758.\nAnswer: -1955638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3\/4 + 1185235*y**2\/2 - 4740925*y\/4 + 592615.\nAnswer: -5*(y - 474092)*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 293444483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/589 and -16\/19?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12759 divide 592385570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3847000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12952986 is divided by 198.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 196379 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: Which is bigger: 0 or 876\/50047?\nAnswer: 876\/50047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697 = -13*g + 632. Which is the nearest to -2? (a) 0.3 (b) 1\/9 (c) 2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 9)*(2 - 3 + 11)*(u - 2*u + 2*u) + 0 + 0 + 5*u + 3*u + 3 - 4*u - 2*u.\nAnswer: 22*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((4\/370)\/(2\/10)). Let z = 24 + y. Let r = -16 - z. Put r, 7, -2 in ascending order.\nAnswer: r, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -341683*w**3 - 341685*w**3 + 683343*w**3 + 74 to the form o*w**3 + t*w + l + d*w**2 and give l.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - c = -5, -5*c - 4 = -3*d - 3. Suppose -f - d = -3*f. Let j be (2\/5)\/(34\/(-10)). Which is smaller: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -21\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*l = -14, -5*z + 2*l + 0*l + 16 = 0. What is the second derivative of 1 - 32*i**3 - 101*i**3 + 20*i**3 - z*i + 9 wrt i?\nAnswer: -678*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -5*3 - -2. Let b = 4 + n. Suppose -b = -s - s. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -2)*(-58)\/(-174) - -1. Which is the closest to i? (a) 3 (b) -1\/16 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 4. Let s be i(0). Suppose h = 6*h + 300. Let x = h + 241\/4. Which is the nearest to x? (a) -0.5 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1782636 by 447.\nAnswer: 3988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1000 = 3*c + 1045 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 282*q + 2871. Calculate y(-10).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 31912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -214214 (base 5) to base 12\nAnswer: -4376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 154\/42*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/1)\/((-3)\/(-18)). Suppose 5*v + 4 - 14 = 0. Suppose i = v*l - 84. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**5\/30 + 41*n**4\/6 - 27*n**3 + 121*n**2\/3 - n - 553. Determine u, given that b(u) = 0.\nAnswer: 1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*-6*(-4 + (sqrt(1300) + -3 + sqrt(1300) - sqrt(1300) - sqrt(1300)) + 4)*-3)**2.\nAnswer: 46656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 + 7*s - 7. Let a be 8\/(-20) - 26\/10. Let u(p) = -p**2 - 3*p + 3. Calculate a*m(i) - 7*u(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**2 + 1142704*o + 163221553952 = 0?\nAnswer: -285676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(162) + sqrt(162)*-2)**2 + sqrt(162) + 0.\nAnswer: 9*sqrt(2) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4*(-3)\/60 + (-25)\/6 and 28\/27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68701*h**6 - 5*h**2 - 5*h + 212?\nAnswer: -8244120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(2716\/112 + -28). What is the closest to -2 in v, -2\/13, 2, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4014*l + 513. Let h(y) = -321*y + 41. Let s(j) = -5*a(j) + 63*h(j). What is the units digit of s(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435734537?\nAnswer: 3, 478578179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11*3440\nAnswer: -37840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (0 - -5 - (21 + -29))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -230 + 290. Suppose 36 - m = -6*d. Solve 17 = d*v + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19, 20, -93 in increasing order.\nAnswer: -93, -5, 19, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 15*t - 18*t + 3)*(0 + 2 - 1)*(0 - 1 + 0).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2224, 2401, 2578, 2755, 2932?\nAnswer: 3109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 32799?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.033 - 27.033. Let k = u + 24. Sort -5, k, -0.1.\nAnswer: -5, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = z - 0*z, -65 = -3*z - 5*o. Let s be (-1)\/(-1) + z\/(-12). What is the nearest to 0.1 in s, -0.4, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.31 - 3.31. What is the closest to c in -1\/6, 0.12, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138238899 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -257697952 - -3869334750689\/15015. Let a = 1\/715 + n. Find the common denominator of a and 143\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -102.1.\nAnswer: 10.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25706588 and 2452572.\nAnswer: 694077876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-36) - (145\/45)\/(-1). Factor -1\/2*z**4 + 0*z**h + 0 + 0*z**2 + 0*z.\nAnswer: -z**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62820 and 480.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 13. Suppose -c*n - 4*k = -609, -2*n + 6*n - 834 = 2*k. What is the greatest common factor of n and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 7*c**5\/30 - c**4\/6 - 35*c**3\/6 + 16*c**2 + 1. Is p(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -833 + 889 + (-98 - -3).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-102) + (-70)\/(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5541, 6413, 7875, 9933, 12593, 15861, 19743?\nAnswer: 24245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 211*j**3\/6 + 49*j**2\/2 - 125*j. Differentiate s(z) wrt z.\nAnswer: 211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15350041 (base 6) to base 3.\nAnswer: 1000120220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65148 divided by -6?\nAnswer: -10858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 s, and 1 k when four letters picked without replacement from sdydlddlksdldk?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1399\/1004?\nAnswer: 1399\/1004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4\/13, 0.5, 3, -0.038, -0.3 in decreasing order.\nAnswer: 3, 0.5, 4\/13, -0.038, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (13\/((-156)\/27))\/(3\/(-8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let s be (-1 - (-2)\/(-6))*-3. Let g be (4\/8)\/(3\/12). Let d(c) = g*c + c - s*c. Determine d(v(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50 + -15?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**4\/4 + 14*b**3\/3 + 13*b**2\/2 + b - 2. Let m be k(-13). Which is smaller: m or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-256)\/40 - -6 - 67\/(-5). Calculate the greatest common divisor of p and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181155393 - -4?\nAnswer: -181155389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8*2375.43\nAnswer: 19003.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-5)\/q))\/q)\/q*q**(-6))**(-14\/5)*((q\/(q\/(q*q**0)))**(-1\/23))**28 assuming q is positive.\nAnswer: q**(182\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37673 and 257247?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30a3 + -130?\nAnswer: 2a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/3 + 25283646*j - 479447066289987 = 0 for j.\nAnswer: 37925469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328*(44\/(-8) - -6) is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - f**2 + f - 1. Let m(r) = 2*r**3 + r**2 - 2*r + 1. Determine m(u) + 3*n(u).\nAnswer: -u**3 - 2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-46)\/(-4))\/(5\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1115574.29 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/((-9880)\/(-703)) - 20\/(-16)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 10 - 22 + 50 - 10 + 13781*w to r + i*w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -1\/3719669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**7\/147 - i**6\/105 + i**5\/35 + 87*i. Factor x(q).\nAnswer: -2*q**3*(q - 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 583 - 557?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*d + 52232097*c**2 - 12*c*d - 174*d + 3600 wrt c.\nAnswer: 4*d + 104464194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5 - g**2 + 5. Let t = 23 - 18. Let q(j) = t*j**2 - 4*j + j**2 + 4*j. Determine i(q(z)).\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 10*k**2 - 3*k**2 - 7*k + 7*k + (1 - 5 + 0)*(-k**2 - k**2 + 5*k**2))*(-10*k - 6*k - 5*k - 2*k).\nAnswer: 575*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110 - -231013132?\nAnswer: 231013302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*f - 2*f + 2*w, -3*f = -5*w - 34. Suppose 0 = -5*d - u + 19, f*u = -2*d + d + 15. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-81760016)\/(-56) + (-16)\/56. Round w to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -3, -10, -11 in ascending order.\nAnswer: -11, -10, -3, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29, 53, 73, 89, 101?\n\"Answer: -2*c**2 + 30*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, e: 4, w: 3, n: 1}. What is prob of picking 1 e and 1 n?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 297 - 123 = 0. Suppose 4*x = 10*x - 96. Calculate the remainder when k is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 4. Let n be f(0). Suppose 0 = -4*d + d + 255. What is the remainder when 6 is divided by d\/25 - n\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5\/4 + 313647*z**4\/2 - 156821*z**3 - 2822813*z**2\/2 - 6900219*z\/4 - 627293 = 0. Calculate z.\nAnswer: -1, 4, 627293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1240 and 41416.\nAnswer: 207080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, n: 2, w: 3, t: 1, s: 4, z: 1}. Give prob of picking 1 n, 1 t, and 1 x.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g + 4 = 0. Let q = -1 + g. Suppose 4*t - 4*f = -0*f, -q*f = -4*t. Solve m + t*m + 2 = 0, 2*m + 19 = -5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160*a - 1\/3*a**3 + 18*a**2 + 992\/3.\nAnswer: -(a - 62)*(a + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 divided by -2.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 31, 14\/3, -1\/7, -0.3?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*a + 412, -3*d - a = 170 - 794. List the prime factors of d.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4283942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/2662 and 27\/6292?\nAnswer: 69212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 244 and 141?\nAnswer: 34404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5435 (base 11) to base 15.\nAnswer: 21d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 35592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7454*c + 3444 = -7538*c for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -a2?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-2 + 0 - 1). Let x(h) = h. Calculate x(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/6 + 107434*l\/3 - 3795065\/2.\nAnswer: -(l - 214815)*(l - 53)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + q = 22 - 6, q = -3*t + 13. Find the second derivative of -4*l + 0 + 6 - 3*l**2 - 10*l**2 + t wrt l.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8540 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*26\/(-1092))\/(12\/(-14)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/((-21)\/(-448)). Find the common denominator of 28\/(-24)*(-36)\/f and -63\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(539)*-5 + 5 - ((sqrt(99) - ((sqrt(99) - 1*sqrt(99) - sqrt(99))*1 - sqrt(99) - sqrt(99))) + sqrt(99) + sqrt(99))\/(sqrt(225) + 1*sqrt(225)))**2.\nAnswer: -356*sqrt(11) + 349149\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-2)*(-5 + 3). Suppose g = -4*d + 23. What is the nearest to -1 in 0.1, d, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/2 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(6*(sqrt(1100)*-2 + 5) + 1))**2.\nAnswer: -478083 + 22320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**4 - m + m**4 + m**4)*(-4*m + 0 + 0 - 3 + 3 + 2*m + 3*m - 4*m + 0*m - m - m - 8*m + 0 + m + 0 + (-5 + 1 + 2)*(1 - 1 - m) - m + 3*m + 0*m).\nAnswer: 8*m**5 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 0 - (-44)\/11. Find the second derivative of -15*r + 9 - 4*r**h - 6*r**2 + 20*r - 8*r wrt r.\nAnswer: -80*r**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 9. Let m be (d + 34\/12)*4. Let l = 0.8 - -4.2. Sort 1\/9, m, l.\nAnswer: m, 1\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63.07 at most as big as -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: a0 (base 14) to base 9\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*s - 21*s + 1477 + 831 + 316 = 0 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - (0 - -2)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.93 + 0.07. Let d be (8\/(-24) - (-13)\/12)\/(27\/(-8)). Which is the nearest to -1\/2? (a) d (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/44)\/(3\/(-2)). Sort i, 0, 0.4 in decreasing order.\nAnswer: 0.4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(1\/8)*r*r))\/r*r*r**(-2\/19))\/(r**(2\/21)\/(r*(r*r**(-2))\/r*r)) assuming r is positive.\nAnswer: r**(-7423\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1911 divided by -1911.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let c(g) = 21*g. Let i(h) = -325*h. Let z(b) = -78*c(b) - 5*i(b). Give f(z(v)).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4, -0.07, 2, -541010\/3, 5, -2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4076.907ms?\nAnswer: 4.076907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 2 + 9*s - 44*s - s + s.\nAnswer: -31*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 0. Suppose 3*b - 6 = 0, -52 + 4 = -5*l - 4*b. What is the third derivative of -l + x - 9*g**2 + 6*g**5 + 4 wrt g?\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -40*v + 34*v. Solve -2 = -v*g - l + 1, 5*l = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100230113221 - -13?\nAnswer: -100230113202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + p - 6 = -p, 2*p + 2 = -2*l. Let v = -0.105 - -0.21. Let t = 0.005 - v. What is the smallest value in -3, l, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -54, -24*c - 6 = -5*s + 8 + 52 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, -0.3, -7, -14, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -30475 (c) -1\/5 (d) -3 (e) -1 (f) -0.3 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 26*q - 681. Calculate r(33).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3774208?\nAnswer: 2, 23, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-46)\/2 + 48\/(-12). Let a = -22 - c. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/537 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1405488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10406 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 9*w**5\/20 + w**4\/3 + 3*w. Find the third derivative of l(o) wrt o.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -v + 3*v + 15, 5*v + 4*y + 46 = 0. Let o be (v\/15)\/((-2)\/12). What is the lowest common multiple of 1 and (14\/o + -3)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (41 + -40)) + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183809 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*b - 62*b + 270*b + 18345 - 2828 for b.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105 - 104. Let v(t) be the first derivative of 1\/4*t + j + 0*t**2 - 1\/12*t**3. Factor v(b).\nAnswer: -(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699270 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*y, 4*y + 3*n + 4 = -0. Suppose -38 = -d - 2*d - 5*q, y*d = -2*q + 20. Suppose -9*j = d*j - 60. Calculate the greatest common divisor of 16 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2651.524 - -28.891?\nAnswer: -2622.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 11*c. Suppose -5*y + 7 = 4*k - 16, 0 = -3*y + k + 7. Let n(x) = -448 - y*x + 448. Give v(n(l)).\nAnswer: -33*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 18 (b) -3 (c) 38 (d) 4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40632 + 3?\nAnswer: 40635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-3) + (-204)\/17. Suppose 0*l - l + 32 = 4*b, 3*b - 5*l = 24. Let u = p + b. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 95*v + 4546. Give g(-45).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 11*d**2 - 3*d - 6. Let g be q(-10). Let n(c) = -717*c**3 - c**2 + 2*c - 1. Let t be n(1). Let r = g - t. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.18843 days in hours?\nAnswer: 2140.52232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a meter in millimeters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2. Let g(h) = -30*h**2 - h + 461. Determine g(l(a)).\nAnswer: -120*a**4 - 2*a**2 + 461","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**3\/2 + 825*k**2\/2 + 1403. Factor s(o).\nAnswer: -3*o*(o - 550)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26970 divided by 899\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1016 and 3585464?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -17) + -7 + 44. Calculate the greatest common divisor of 2990 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from {l: 4, u: 1, z: 4, y: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2758261 - -0.2\nAnswer: 2758261.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750 = 547*u + 7 - 351 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0178367219 and -1917.7.\nAnswer: -1917.7178367219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 170*x - 167*x. Let m be (40\/16)\/(1\/x*2). Solve -m = 5*j - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + n - n + (-2*n - 2*n + 5*n)*(5 - 5 + 3))*(-3 + 2 - 3) + (2 - 2 + 1)*(n - 2*n - n) to the form b + a*n and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126975789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b86d (base 16) in base 13?\nAnswer: 1864a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(50\/(-4))\/5*-132*(-153)\/282744?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 - 91. Let i be 8\/v*(-2)\/4*9. Suppose 5*a - 13 = -4*z + 6, -4*a + 10 = -2*z. What is the smallest value in i, a, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*l**2*u + 3*l**2 - 898197*l + 2986*u - 1148 wrt l?\nAnswer: -6*l*u + 6*l - 898197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k - 44. Give x(-26).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 0 + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * -7563.684.\nAnswer: 204219.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 1008475559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-21) - -1*88\/(-112).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3708*r**3 + 3*r**2 - 178*r + 32080226 with respect to r.\nAnswer: 11124*r**2 + 6*r - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3213714673?\nAnswer: 13, 3119, 79259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*452\/678?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 7:29 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d)\/d)**(-4\/27)\/(d\/d**(-3)*d*(d\/((d\/(d\/(d*d**(-4)\/d*d)))\/d*d))\/d*d) assuming d is positive.\nAnswer: d**(-235\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521544 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 270*r**2 + 8*r + 639. Is a(34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686280855 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**3\/18 + 35*a**2\/12 - 1154. Factor t(w).\nAnswer: w*(w + 35)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1) + 3*-1. Let s = 1027 - 1027.5. What is the third smallest value in s, f, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 17*h**2 - 15*h + 2. Let f(y) = -33*y**2 + 27*y - 3. Let n(z) = 4*f(z) + 9*r(z). Factor n(p).\nAnswer: 3*(p - 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 5*s**2 - 7*s + 8. Let k be l(6). Let z(j) = j + 4. Let y be z(11). Is 2 a factor of 40\/y*3\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22648, -46563, -70478, -94393?\nAnswer: -118308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482664.\nAnswer: 2, 37, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45741 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b + 2ddd5b?\nAnswer: 2dddb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.192636l in millilitres?\nAnswer: 8192.636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 836 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1053904\/(-24) - 4) + 0)*-252. Round k to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 2*y**2 + 4*y + 2. Calculate the smallest common multiple of 18 and q(3).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 = -0*w + 4*p, 3*p = 9. Let c(a) = -2*a + 0*a + 3*a - w*a. Let k(o) = -9*o**2. What is k(c(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 280600224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) - (-17)\/84. Let h = d + 3\/14. Which is the third smallest value? (a) 3 (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4949 and 560.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q - 21. Let c be a(18). Suppose -6*s = c - 27. Which is greater: s or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53 - 0?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1216\/(-209) - 4\/22. Let z be w\/33 - (-105)\/33. Let p(k) = 2*k - 1 - 407*k**3 - 3*k**2 + 0 + 5*k**2 + 406*k**z. Determine p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 0*g + 0 + 0*g**3 + g**2 + 0*g**6 - 1\/24*g**4 + 1\/30*g**5 + 1\/336*g**8 - 1\/105*g**7. Factor f(t).\nAnswer: t*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -26*f**3\/3 + 75. Let c(j) = -4*j**2. What is c(x(z))?\nAnswer: -2704*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 121039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 7*s**2 + 2*s + 7. Let p be m(8). Let x = 78 + p. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-105)\/(-8)))\/((-102)\/(-935)*-11)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-845)*-5*-1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143 + 223. Let x = 323 - f. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1358 - 705. Calculate the smallest common multiple of t and 4.\nAnswer: 2612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9507047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (5 + -3 + 18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -168, -169, -172, -177, -184, -193?\n\"Answer: -v**2 + 2*v - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - (2*sqrt(312) + sqrt(312) + sqrt(312))\/sqrt(12))\/sqrt(2)*5 - ((-1*sqrt(312) + sqrt(312) + sqrt(312))*1)\/sqrt(6).\nAnswer: -17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 8*c - 2. Let d be j(-5). Suppose 3*y = d + 14. What is the least common multiple of 7 and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -14*d + 11*d + b, 0 = 2*b + 4. What is the remainder when d is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 11. Let n be s(-9). Suppose -2*g + 35 = r, 3*g - n*g = -3*r + 10. Let f be -2 + g*(-1074)\/(-3). Round f to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 17 - 4 - (-9 + 7 + (13 - 27))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x**2 - 5*x**2 - 3*x**2)*(x + 2*x - x) + 7 + x**3 - 7 + 4 in the form o*x + l + j*x**2 + u*x**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*((sqrt(112) - (sqrt(112) + -1))*4)**2*-1)*-1.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -11 + ((-4925)\/350 - -24)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/8268 and 1\/12402.\nAnswer: 24804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 212 - 285.5. Let w = -44 - z. What is w rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -634704 divided by -13223\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2146 - 2*m + 72 + 1632 + 674 - 129 to the form j + p*m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1484\/(-8162))\/((-1)\/88).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -26*o**5 + 13*o**2 - 7*o + 7. Let b(k) = -26*k**5 + 12*k**2 - 6*k + 6. Let a(l) = 7*b(l) - 6*s(l). What is the third derivative of a(f) wrt f?\nAnswer: -1560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004393554 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 235911 and 257361.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i + 139 = 519 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.94 - 0.06. Let k = u + 21.85. Let n = 0.098 + k. Round n to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3870*f + 3841*f + 348 = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6*68\/(-85)*30\/(-27)*1092\/112\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54014669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 314.0023 - 0.0023. Let x = 316.31 - p. Let g = x + -2.31161. What is g rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1399173699307 take away 0.4?\nAnswer: -1399173699307.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/9 - 721*v**2 + 251753*v\/3 - 22177451\/9.\nAnswer: (v - 6371)*(v - 59)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*k - 14*k - 98 + 4*k + 550 to the form s + p*k and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + 9 - (-62)\/(-32). Let t = m - 53\/80. Let j = 0.14 + 4.86. Which is the nearest to 0.1? (a) j (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.543 - 29.4. Round m to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4*g - 14 = 26, -3*g = 4*o - 31 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 6:25 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -79*n**4\/24 - n**2 - 563*n. Let m(a) be the first derivative of 2*a**3\/3 - 6. Calculate h(m(j)).\nAnswer: -158*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -25*s**3 + 21910*s**2 - 4804860*s + 1918440 = 0.\nAnswer: 2\/5, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -69896, -69963, -70030, -70097?\n\"Answer: -67*u - 69829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049829 is divided by 3162?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v**2 + 31*v + 270. Let a be r(-15). What is the highest common factor of a and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + 2*l**2 - 3*l**2 + 5*l**2 + l**2 - 4*l**2 + 3*l**2 - 5*l**2 + 0*l**2 + (4*l - 2*l**2 - 4*l)*(-1 - 1 + 0) - 52*l**2 - 248*l + 122*l + 126*l.\nAnswer: -47*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 4. Solve -n = 2*n + w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(8\/6)\/2. Suppose -1 = -v*b + 23. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*m - 5*w + 393, -m - 5*w = -102. What are the prime factors of m?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -13*h - 5*d + 303, h - 3*d - 115 = 0. Calculate the remainder when 526 is divided by h.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102870 = 4139*s + 2719*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.144 <= -11193\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 127680 and 37380.\nAnswer: 11363520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/((-36)\/24))\/6)\/((-8)\/3)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m + 2176 = -92*m + 4864 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1368145 and 196.\nAnswer: 268156420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1552110 and 2280?\nAnswer: 6208440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2. Let v(x) = 3*x**2 - 2. What is v(k(s))?\nAnswer: 12*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64 - 587*n + 584*n + 11 + (5 - 2 - 2)*(3*n - 4*n + 2*n).\nAnswer: -2*n + 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4011 in 0.4, 0, -1.8, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -184948 and -0.3?\nAnswer: 55484.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at least -3.176967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 764 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 2*a + 335 - 334, 0 = -2*q - a + 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50029112 and 2877.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/(-3))\/((-6542)\/(-19626))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.421635 rounded to two decimal places?\nAnswer: 52.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 7*d + 28. Let i = 57 - 41. Let n be d\/i - (-1)\/4. Solve -2*z = n*x - 2, -14 = -2*z - 3*z + 4*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 273.4374 or -8.4?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 70*h**2 - 122*h**2 + 65*h**2. Let w(k) = -6*k. Determine r(w(v)).\nAnswer: 468*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36782, 73862, 110942, 148022?\nAnswer: 185102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 6.4562 rounded to 2 dps?\nAnswer: 6.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by (-438)\/(-24) - (-25)\/(-100).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 27 = 2*q - 62, -3*r + 27 = q. Let a be (-9)\/2*(3 - 1). What is the units digit of (q\/a - (-8 + 5))*-9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25624 is divided by 420.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.7286193kg?\nAnswer: 728619300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/307 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2, -2 = l + 4*y + 6. Let h be (-224)\/(-910) + (-10)\/25. What is the closest to l in -5, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 955*m - 153*m**4 + 4 - 965*m - 8 - 9 wrt m?\nAnswer: -1836*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -139. Suppose 2*m + 65 = 2*c - b, -5*c + 4*m + 347 = 0. Find the second derivative of -14*h**3 + c + 11*h - 67 wrt h.\nAnswer: -84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 1\/6*w**3 - 1\/4*w**4 + 1\/20*w**5 + 7*w - 2*w**2 + 0. Determine j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2980 and 5?\nAnswer: 2985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17088 or 22811?\nAnswer: 17088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.091? (a) -1\/4 (b) -2\/21 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135656 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -6*i + 1\/105*i**6 + 0*i**2 + 0 + 1\/42*i**4 + 0*i**3 - 1\/35*i**5. Let t(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4742 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3. Let z(b) be the second derivative of -b**5\/20 + b**4\/12 + b**2 - 2*b + 187. Calculate -2*l(y) + z(y).\nAnswer: y**3 + y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 9*i + 3. Let f be a(7). Let t = f + 15. Suppose -40 = -t*l - 0. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*l + 0*l - l + 0*l**2 + 2*l**2 to the form y*l + c + r*l**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 16*v + 9. Let x be q(7). Let i be (0 - x\/(-15)) + 3. Which is the nearest to 2\/5? (a) -2 (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 + 11*k + 8. Let j(h) = h**2 - 4*h - 3. Let f(b) = -8*j(b) - 3*x(b). Factor f(y).\nAnswer: y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z + 4*z + 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + f + 34 = 4*n, -n - 3*f = -24. Calculate the remainder when 33 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {g: 1, e: 1, s: 1, a: 1, k: 2, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*w - 34, -2*h - w + 123 = 2*w. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 - 74. Put c, -3, -4, 0 in increasing order.\nAnswer: -4, -3, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22, 14, 2, -14, -34, -58, -86?\n\"Answer: -2*b**2 - 2*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 379 - 375. List the prime factors of (5 - (-1710)\/u)*(-32)\/(-20).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 5)*(-5*z**2 - z + z)*(11*z + 6*z + 6*z).\nAnswer: -230*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from memewmmmmmmbeemmmee?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 64 = -15*m. Let p be ((-20)\/15)\/(m\/18). Suppose -a - 2*a = p*u - 39, 0 = -2*u + a + 32. What is the highest common factor of 60 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3\/2 - 47*j**2\/2 - 91*j\/2 - 45\/2 = 0.\nAnswer: -45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7903*s - 16*s**2 + 53*s**2 + 2 - 38*s**2 + 0 to y*s**2 + f + r*s and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -47 + -4 + (-9 - (-14 + (11 - (-5 - -18))))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = 4*g + w, -5*g - 4*w + 319 = -0*w. Suppose 4*s - 20 = 0, i + 2*s - 6*s - g = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - -3.1. Let p be -3*(-6 + (-327)\/(-54)). Sort b, -1, -4, p in descending order.\nAnswer: b, p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*d + 63*d = 6120. Let r(t) = 680 + 3*t**2 - 3*t**2 - d + t**2. Let f(o) = -306*o. Determine r(f(i)).\nAnswer: 93636*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1495 + -0.7505. Sort 0.3, w, 1, 0 in ascending order.\nAnswer: w, 0, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {o: 3, r: 6, m: 3, e: 7}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8021 is divided by 363?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110010 - -11100101?\nAnswer: -1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104352 and 7632?\nAnswer: 16591968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6257, 12575, 19037, 25637, 32369, 39227, 46205?\nAnswer: 53297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.167 and 10.\nAnswer: 11.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/11 - 60364666*a\/11 + 27438480.\nAnswer: 2*(a - 30182328)*(a - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y\/(y**0*y)))**12*((y*y*y**(2\/15)*y)\/y)\/y*y\/((y**(2\/13)\/y)\/y) assuming y is positive.\nAnswer: y**(3116\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6900 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 0*i - 3 - 2*i + (-1 + 2*i + 1)*(1993 - 311 + 118)*(-3 + 1 - 2) - 1 + 1 - 2*i to the form y*i + k and give y.\nAnswer: -14403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10572*f + 10219*f - 15218*f)*(-f**3 + 5*f**3 - 3*f**3).\nAnswer: 5573*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39.2 - -7.4. Let c = -57 - r. Round c to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2. Let c(w) = -w**2 + 5*w**2 - 4*w**2 + 4*w**2. Give c(z(x)).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + -1)*-1*-3*-3)**2 + -4.\nAnswer: -1944*sqrt(11) + 128381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c**(-1)*c))\/c*c)**(-1\/7) assuming c is positive.\nAnswer: c**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 368833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-seven halves of a gram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 27*o + 119. What is x(4)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19\/2*i**2 - 1\/2*i**3 + 1\/2*i**4 - 11\/2*i + 15 = 0. Calculate i.\nAnswer: -3, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 22. Let b be i(-22). Suppose 0 = -6*x + 3*x + 27. Let o = x - 9. Solve 0*r - 3*r - 4*y - 16 = b, -3*r + y + 4 = o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -10 + 7 + -9 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**2 + 9*s + 6. Let i(r) = -14*r**2 + 26*r + 17. Suppose -2*w + 149 - 171 = 0. Calculate w*h(l) + 4*i(l).\nAnswer: -l**2 + 5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1451 - -1442. Sort 4, r, 31, -4, 2.\nAnswer: r, -4, 2, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.81 - -0.19. Let w = 0.8 - 1. Let l = -0.8 + 1. Which is the second smallest value? (a) p (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 924.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + (59 - 11) + 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 113125831, 226251676, 339377521, 452503366?\n\"Answer: 113125845*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - 4)\/((-12)\/54). Suppose 0*m - m = 0. What is the third biggest value in m, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -733, -794, -855, -916, -977?\n\"Answer: -61*j - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523 is divided by 191?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7617344 (base 9) to base 4\nAnswer: 33211220320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Calculate the common denominator of -73\/28 and ((-4)\/80)\/((-5)\/((-2475)\/m)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 410*h*r**3 + 450*h*r + 2*r**3 + 2*r**2 - 2*r - 5 wrt r.\nAnswer: 2460*h*r + 12*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.3 + -0.4. Let p = -2.3 + 2.2. Let a = c - p. Put 1, a, 3 in decreasing order.\nAnswer: 3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -47*a + 45*a. Let s(d) = d**2 + 3*d - 8. Let o be s(a). Let h = -13 + 23. Calculate the highest common factor of o and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 182 (b) 2\/631 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((4 - 11) + (-2 - -9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110010101 + -11?\nAnswer: 10110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12774805 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/3 - 740*n**3\/3 - 46124*n**2 - 544640*n\/3 - 541696\/3 = 0 for n.\nAnswer: -368, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*u - 12 = 4, 4*u - 19 = -5*c. Let b be ((-7)\/7)\/(c\/(-72)). Solve 2*q + 10 = -v, 0 = 3*q + q + 4*v + b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -12, 106?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkppprrprkrpkp. Give prob of picking 2 k and 2 r.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 12:37 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.9 - 469.9. Let q = 419 + x. Let l(v) = v + 5. Let k be l(-6). Is k at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.56 + -3.44. Is -2\/13 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 3, -77, -5 in descending order.\nAnswer: 5, 3, 1, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 72, 2, 0.05, -0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*f + 69 - 69 + (-2*f - 2*f + f)*(3 + 3 - 5) - 2*f - f + 4*f in the form w + g*f and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (13 - (8 + (-3 - 14))) - 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k**4 - 14*k**4 + 42*k**4)*(12 + 13 + 11 + 14 + 14).\nAnswer: 1216*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 301934967 a multiple of 3721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/3867132 and -67\/6.\nAnswer: 3867132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 24*u**2 + 43*u + 30. Give g(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24963 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 4, -11, 25, 6 in descending order.\nAnswer: 25, 6, 4, -3, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -1\/1680*w**7 - 5\/96*w**6 - 25\/4*w**4 + 0 + 0*w - 95*w**2 - 12*w**3 - 673\/480*w**5. Factor o(p).\nAnswer: -(p + 1)**2*(p + 24)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 15 = -5*z, -2*b - 2 = 3*z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 7 - 21 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -10. Suppose 0 = -a*t - 95998288 - 47401712. What is t rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52959 divided by 919?\nAnswer: -52959\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmmmmmmmmmmmmmmmlm. Give prob of picking 2 l and 2 m.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-4)\/(-8)) - 1. Sort w, -3, 0.\nAnswer: -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 112, 5, -2, -3, 7200 in descending order.\nAnswer: 7200, 112, 5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -40 + (-39 + 32 - (-6 - 7)) + 3\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5316 - 5302. Let z(s) be the first derivative of 21\/10*s**4 + 0*s + j - 16\/5*s**3 + 98\/25*s**5 + 4\/5*s**2. Factor z(u).\nAnswer: 2*u*(u + 1)*(7*u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*g - 4, 0 = -r + 33*g - 30*g - 3. Solve 3*i + 6 = -2*u, u + 3*i + 5 + 4 = r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - d)*(12 - 17 - 25) + (d + d + 0*d + (2 - 4 + 0)*(d - 5*d + 2*d) - 4*d + 4*d + 2*d - d + 0 + 0)*(13 + 7 - 6).\nAnswer: 128*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Let v = 38 + -34. Let k be (-1 - (-5)\/7)*2. Put k, v, a in decreasing order.\nAnswer: v, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25080.\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -19125160?\nAnswer: -3\/19125160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 34. Let w be 22\/33 - (-232)\/i. Suppose 0*p + 3*p - w = 0. Calculate the highest common factor of p and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1144374494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -392 + 298?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 187*n**5\/20 + 95*n**4\/8 + n**2 + 13. What is the second derivative of y(q) wrt q?\nAnswer: 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 10 = -13*w + 8*w, -20*h + 92 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93, -162, -241, -336, -453?\n\"Answer: -q**3 + q**2 - 65*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.7406658um?\nAnswer: 0.0000000007406658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d. Suppose 5*h + 50 = -d*h. List the prime factors of h - -92 - 2\/(-2).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9\/14 - -10\/21. Let w be (-4)\/(-6) - (-2)\/(-2). Which is the second biggest value? (a) 0.3 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161430 is divided by 845?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.54, 1, -0.5, -2\/11 in descending order.\nAnswer: 1, 0.54, -2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -8)*(10\/6)\/((-10)\/(-390)). Let x = -2 + 4. Suppose -3*k - 2*k + x*g + 668 = 0, g - n = -2*k. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -500495 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3294750, -13178741, -29652066, -52714731, -82366742, -118608105, -161438826?\n\"Answer: -p**3 - 3294661*p**2 - p - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5500, -11004, -16512, -22024, -27540?\nAnswer: -33060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**3 - 12*s**2 + 2*s + 6. Calculate a(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 24 = 5*o. Let p(q) = -q**3 - 8*q**2 - q - 8. Let w be p(o). Which is bigger: 1\/67 or w?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2780 * 3\nAnswer: -8340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -13*p - 91. Give c(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -849777.7 rounded to the nearest ten thousand?\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47127568.\nAnswer: 2, 2945473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46263676 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**33*t)*t)\/t)\/(t\/(t\/((t\/(t\/(t*(((t\/(t*t**(11\/3)))\/t)\/t)\/t)))\/t))) assuming t is positive.\nAnswer: t**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*w - 1376 = -1853 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 12) to base 9\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 18 = 3*l, -3*f - 11 = -3*l - 2*l. Suppose -3*s = -6*s + 6. Let d(z) = -l - s*z + 4. Let b(i) = -2*i. Give b(d(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.546 - -83.554. Round t to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 926, 1861, 2798, 3737, 4678?\n\"Answer: s**2 + 932*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 994*h - 39210. Give c(41).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 40*v**2 - 388*v + 53. Let q be z(-17). Let r(s) be the first derivative of -24*s + q*s**2 + 4\/3*s**3 + 14. Solve r(t) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4068 and 9882?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Let t(d) = -d**3 + 7*d**2 - 3*d - 16. Let i be t(6). Let a(y) = z*y**i + 3*y**2 - 9*y**2. Let b(k) = 3*k**2. Give b(a(l)).\nAnswer: 108*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/73874 and -67\/10?\nAnswer: 369370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-3 + 3) + 2. Suppose h*q = 5*q + 6. Which is the closest to 1\/2? (a) q (b) 1\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r + 24. Let j be l(-6). Suppose -454 = -j*a - 2*a - u, 0 = 5*a + 3*u - 1137. Does 54 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1171\/3432 + -9\/1144. What is the second biggest value in -1\/544, 1\/2, n, -6, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 8*y + 21. What is v(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 7 - 3. Let v be -1*(-2 - (-3 + 5)). Determine z, given that 6*z**v + 2 + 5*z**5 + 10*z**2 - 26*z**4 - 25*z + 20*z**3 + 6 + y = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w. Let k be (4\/(-8))\/((-1)\/12). Let x(v) = 2*v**2 - k*v**2 + 5*v**2. Determine x(s(b)).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icccccddcdd. Give prob of sequence dcci.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuaa. Give prob of picking 1 a and 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven tenths of a minute?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 2*v - 62 = -17*y, v - 63 = -4*y. Solve 0 = 2*u + 10 - y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13*l**2 - 5*l + 4 + 3*l - 3*l - l. List the prime factors of i(-6).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i - i)*(6*i - 6*i - 4*i**4).\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 289*j**3 - 166 + 593*j - 184 - 2*j**2 + 350 wrt j.\nAnswer: 1734*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 6*b**3 + 687*b**2 + 1326*b.\nAnswer: -3*b*(b - 17)*(b + 2)*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 4 + (2 - 20)*1\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuqwqwrellul. Give prob of picking 2 u.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfckckkmk. What is prob of picking 2 k, 1 m, and 1 c?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-112)\/28 + 7\/2. Which is bigger: 3\/7 or p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 913 in -4, -2, 0.75?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22541475 divided by 25\nAnswer: 901659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1696 divided by -94\nAnswer: -848\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8278*h**6*l - 303*h**3*l - 197*h**2*l + 12*h**2 + 2*h + 339*l wrt h.\nAnswer: -993360*h**3*l - 1818*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**4\/3 + 98684*l**3\/3 - 2434238171*l**2\/3 - 19481109956*l\/3 + 7305083148 = 0?\nAnswer: -9, 1, 49346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/1404 and -43\/676.\nAnswer: 18252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-1)*t**(-11)*t assuming t is positive.\nAnswer: t**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 106*i = -25*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a microgram in nanograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1302 - 1304. Which is the second smallest value? (a) r (b) -0.07 (c) 0 (d) -0.2 (e) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2925 = -20*a. Let b = -116 + a. Let w be (-3)\/(-20) - (-3)\/12. What is the nearest to 1 in 0.5, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**2\/2 - 12*a - 3. Let p(m) = -2*m**2 + 3*m + 37. Let s be p(-4). Calculate l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 20*a**2 - 2*a + 40. Let k be o(20). Let z = 642 - 639. Solve -z*l - 12 = -k*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20387273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10956?\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:03 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 30 = -3*u, 3*a - 722 + 686 = 4*u. Solve 22 = -d - 4*g, -a*d + 88 - 132 = 5*g for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 6 + s - 2*s - 2*s.\nAnswer: -s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 119840 (base 13) to base 5\nAnswer: 101433111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -494, -399, -210, 97, 546?\nAnswer: 1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11832?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 109641 and 35179098.\nAnswer: 246253686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l + 10. Let a be (-3)\/(-6 - (l - 1)). Let h be a + 2\/2*1199. What is h rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 780*b - 780*b + 0 + 0 + 21*b**2.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-22 - 4 + 5)*(-12*b**4 + 20*b**4 - 3*b**4).\nAnswer: -210*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*s + 53*s + 59*s)*(2*s + s + 9 - 7)*(-2*s + 5*s - 2*s) - 4 + 4 + 3*s**3 as o*s**3 + x + r*s + j*s**2 and give o.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13\/26)\/((-1)\/18). Let j be (9\/2)\/(7\/(-14)). Do j and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 467 - -1098. Let g = -993 + b. What are the prime factors of g?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 - -94. Solve -v*l = -b + 5, 0*b - 15 = 3*l - 3*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 14*r + 6. Let i(f) = -2*f**2 - 16*f + 3. Let h(x) = 2*i(x) - 3*v(x). Calculate h(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -34. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66180769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**4)**39*(w**(-4\/9))**(-18))**(12\/5) assuming w is positive.\nAnswer: w**(-1308\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 57, 32, -15, -90, -199?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18312, -36548, -54784, -73020, -91256?\nAnswer: -109492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = t - 4*c + 15, 0 = -c + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 19*a + 4. Let v(k) = 39*k + 9. Determine 13*c(s) - 6*v(s).\nAnswer: 13*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**2*o**2 + 715606*i**2*o + i*o**2 - 2182021*o**2 - 17*o wrt o?\nAnswer: 10*i**2 + 2*i - 4364042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1152) - (-1 + sqrt(98) - sqrt(2) - (sqrt(2) + sqrt(126)\/sqrt(7))))**2.\nAnswer: -148*sqrt(2) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 4, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 5:05 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 61*b - 56*b + 2*n, -6*b + n = -1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.9 and 0.4?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**3 + 5\/24*r**4 + 0*r + 0 - 11*r**2. Let j(q) = -14*q - 17. Give 6*j(n) + 17*s(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -4.7. Let v = q - -1.6. Let p be (-48)\/16*(87\/27 + -3). Which is the second smallest value? (a) -0.01 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(6\/(-117)) + 2 and (3 - 3) + ((-186)\/4)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:10 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004195 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = 6*x + r, 5*x + 9 = -r. Let p(z) = 7*z + 1. Calculate p(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10122 and 126.\nAnswer: 30366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3322101200 (base 4) in base 5?\nAnswer: -230300440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (7 - -44) - (-9 - (-57 + 43)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153017*m**2 + 19*m - 13291885.\nAnswer: -306034*m + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/((f\/((f**(-8)*f)\/f))\/f)*f)))\/(f**5*f))\/((f\/f**5)\/(f\/(f\/(f*f**(-1\/14)\/f)))) assuming f is positive.\nAnswer: f**(-113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -4, 3, 170\/29, -0.911 in ascending order.\nAnswer: -4, -0.911, 3\/8, 3, 170\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154 - 60. Let s = 127 - j. Let d = s - 33.4. What is the biggest value in 5, 1, d, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108.468 + -12.468. Which is the nearest to -0.7? (a) -5 (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.03 + -1.43. Let q be 2\/2 + 75\/(-150). What is the closest to -2 in q, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158 - -156. Let o be 15\/40 + 111\/(-168). What is the closest to 1 in o, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -6 - (41 + -57 + -9).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 15 (c) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 60 = -0*g. Let u be 5*((-18)\/g + -1). Calculate the common denominator of 25\/4 and (0 - 141\/42)*u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (8 - 3) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/166 - 85\/332. Let w = -1 + 0.7. Put y, 1.4, w in increasing order.\nAnswer: w, y, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**3\/6 - 7*h - 21. Let y(p) be the first derivative of w(p). Let k(t) = -7*t - 5*t + 2*t + 2*t. What is k(y(i))?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - (-22 + 0)) + (33 - (1 + 2)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiuroioiiiio. Give prob of picking 1 u and 1 i.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -81*u - 5. Let n be s(3). Let r = 429 + n. Suppose 3*b - b = -3*y + 95, 4*b = -3*y + r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:05 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-7 + (4 - -2))*15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*d + 4. Let o be 2 + (12 - 2) + d. Suppose 3*r - 15 = -0*r. Calculate the highest common divisor of r and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-9) + (-200)\/120)\/((-3)\/123).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -6, -0.1, 29, -4, -44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -40*r**2 + 24*r - 7. Let y(q) = -19*q**2 + 12*q - 4. Let w(j) = 3*b(j) - 5*y(j). What is the second derivative of w(f) wrt f?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2308 or -2307?\nAnswer: -2308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -1)*(10 + -5 + -4). What is the hundreds digit of 58\/((-7)\/(42\/i))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1716 (base 9) to base 8.\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 = -2*q, 32 = 2*q - 5*x + 7. Suppose -4*o = -5*z - 17, q*o + z + 1 = -14. Let y be (3\/(-1))\/(3\/o). Is y bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-15))\/((-15)\/(375\/(-145))*(-20)\/(-4))?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 83085, 82998, 82893, 82764, 82605, 82410?\n\"Answer: -r**3 - 3*r**2 - 71*r + 83160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -321*o**2 + 87*o + 99. Let m(u) = -641*u**2 + 170*u + 198. Let x(l) = 7*d(l) - 3*m(l). Let v(w) = -13*w**2 + 4*w + 4. Determine 99*v(i) - 4*x(i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-1\/8)*i))**(2\/23))**(3\/14) assuming i is positive.\nAnswer: i**(-3\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k - 115 + 0*k**6 + 0*k**4 + 0*k**5 - 11\/6*k**7 - 89\/3*k**3 + 0*k**2. Find the second derivative of y(z) wrt z.\nAnswer: -1540*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/266)\/((40\/(-35))\/(-3 - 1))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-41))\/(-24))\/(6\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 289 - 286. Suppose -38*i = -41*i + x. Sort 4, i, 39 in decreasing order.\nAnswer: 39, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -570.891 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - (-2*sqrt(90)*-1 + sqrt(90) + sqrt(90)))\/(sqrt(605)*1))\/(5*((sqrt(6) - (sqrt(6) - sqrt(24)))*5 - ((sqrt(6) + sqrt(6)*-2)*-1 + sqrt(6)))).\nAnswer: -3*sqrt(3)\/440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 11:06 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v. Let r(n) = 1866851*n**2. Give r(p(x)).\nAnswer: 16801659*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -322, -728, -1296, -2026, -2918, -3972?\nAnswer: -5188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l + 186. What is the smallest common multiple of a(40) and 7?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -15*v**2. Let h(d) = 157049*d**2 - 4. Calculate h(t(q)).\nAnswer: 35336025*q**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-3)\/(-4)*4. Suppose -18 = -4*s - h, 3*h + 14 = y*s + 2*h. Solve 5*w = k + 10, -s*w + 3*w - 2 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -295 - 44*a - 812 - 4282 + 45*a in the form o*a + z and give z.\nAnswer: -5389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/45)\/(1*2\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15+-301\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.399862ml?\nAnswer: 0.008399862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - t**2 - t - 1. Let i(s) = -5*s**3 - 20*s**2 - 3. Let p(o) = -i(o) + 6*r(o). What is the tens digit of p(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfk when three letters picked without replacement from {t: 2, h: 3, f: 1, k: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-45)*5*(-648)\/540*70\/3.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274001488 to the power of 1\/4, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + r - 43 = 0, 335287*f + 63 = 335284*f - 3*r for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4152272 divided by 3\nAnswer: 4152272\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/272 and -87\/10.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-151)\/15 + -3 + 15 + -2)\/(15\/(-9)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229, 474, 733, 1012, 1317?\nAnswer: 1654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*w + 761 = -3*b + 948*w, 5*b - 6*w = -w - 3*w - 122 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17140, -18\/35, 2, -1\/3 in descending order.\nAnswer: 17140, 2, -1\/3, -18\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11046 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utssyutytyqxqyxssuqq. What is prob of sequence yyqx?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*k**3 + 41*k**2 - 96*k**3 - 41*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4403901ns to minutes.\nAnswer: 0.000000000007339835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17186929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613320\/90 + 14\/6 + -7 + 5?\nAnswer: 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20322308147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6439354487 to the power of 1\/3, to the nearest integer?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87219 + 190628. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 21 + 14 + -13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3976)\/13720)\/(-71)*20\/2.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 195, 296, 399, 504?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -4*l - 2*h, 0 = -2*l - 3*h + 32 + 27. Calculate the remainder when (1 - (-1083)\/15)\/((-4)\/(-10)) is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*b**3 - 7*b**2 - 3 - 56*b**3 + 0*b**2 + b**2 - 6*b + b**2 to the form h*b**3 + l*b + i*b**2 + r and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r + 1. Let i = 27 + -30. Calculate the least common multiple of v(i) and 3.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9745103.\nAnswer: 9745103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49175 + -49158. Let s be 2 - (-2 - (1 + -3)). Sort s, i, -2, 1 in ascending order.\nAnswer: -2, 1, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 5:56 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*i - 0, 5*n = -i - 32. Let j(p) = p**3 + 6*p**2 - 6*p + 7. Let l be j(n). Let h(o) = o**3 - o**2 - o + 7. Determine h(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587434465?\nAnswer: 5, 117486893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 16 = 4*p, 0*w = -3*p + w + 7. Let j be (12\/(3 - 1))\/(-2) + -2. Which is the third biggest value? (a) p (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99 - -99 - (-7 + (5 + -3 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150708.1 decades to centuries.\nAnswer: 15070.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0412836521 rounded to six decimal places?\nAnswer: 0.041284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 501.999245 - 502. What is d rounded to 5 dps?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k = 225 - 60 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1504\/48880)\/((-3)\/78)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4523*s**4 - 32*s**2 - 19*s - 2.\nAnswer: 108552*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 - (8 - 0) - (7 - (37 - 8))?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -16*n**3 - 2*n - 3. Let b(p) = -51*p**3 - 7*p - 9. Let m(h) = -2*b(h) + 7*q(h). Let i(y) = 30*y**3 + 10. What is -3*i(z) - 10*m(z)?\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24255\/189)\/((-35)\/(-15)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1706 - -1751. What is the remainder when 256 is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133110 (base 4) in base 9?\nAnswer: -2666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 762874 divided by -406\nAnswer: -1879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 240*o + 2035.\nAnswer: 5*(o + 11)*(o + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/252 and 99\/8?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 3*m**2 + 0*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179883\/16 - 11235. Is l >= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z. Let a(c) = -34*c. Let h(d) = 3*a(d) - 14*t(d). Let b(x) = 2*x. What is h(b(s))?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/3000*-20*(-25)\/45*2.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.1392, -2 in descending order.\nAnswer: 0.1392, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/4*4\/15. Suppose 0 = 5*d + 3*r, d + r - 1 = 1. Let g = 3 + d. Which is bigger: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16325?\nAnswer: 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -620\/35933 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 3*y + 6. Let k be p(-6). Let z be 36\/60*(-7)\/((-84)\/120). Calculate the highest common factor of z and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 12*m - 15. Let h be w(-10). Let l(x) = -3*x - x + 5 - h + 1. Give l(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlsysssqqy. Give prob of picking 1 y and 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 106\/10 - (-21)\/(-35). Let p = x - 8. Suppose 0 = -5*s + 5*o - 5, -32 = 4*s + o + p*o. Put 4, s, -2 in decreasing order.\nAnswer: 4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1060 + 1098. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(4 + -1) + -1. Let l be (-3)\/6 - x\/(-2). Let i(c) = c - l*c + 3*c. Let g(q) = -2*q**2. What is i(g(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -83 divided by -1\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + 2*q)*(-3 + 3 + 2)*(5*q**2 + q + 0*q - 9*q**2 + (q**2 + 4*q**2 - 4*q**2)*(4 + 1 - 2) + 0*q**2 + q**2 - 4*q**2 + (q - 1 + 1)*(q - 3 + 3)).\nAnswer: -12*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-8))\/(-2)*253\/(-69)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223012840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, p: 8, w: 7}. Give prob of sequence pt.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-280)\/(-14))*(-22192)\/(-76)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40618403.\nAnswer: 7, 79, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*84*(-15)\/(-1170))\/(2\/(-3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + m - 82, -5*m = 8*w - 6*w - 46. Calculate the greatest common divisor of w and 644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*c - 1 + 6, -x = -5*c + 11. Suppose 0 = -s - 3*h - 8, 0 = c*s + s - 2*h + 2. Sort 2, s, 4 in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2376?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/6 + 205*m\/3 + 412\/3.\nAnswer: -(m - 412)*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02762 times 10?\nAnswer: -0.2762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 23*t - 419. Let m be i(18). Let p(o) = -3*o. Let b(a) = 2*a - 3. Let y(z) = 1. Let d(s) = -b(s) - 3*y(s). Calculate m*d(k) + 4*p(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -1 - 41\/2*t**2 + 5*t. Let k be r(5). Round k to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**3 - 1113*m**2 - 5622*m - 6768 = 0. What is m?\nAnswer: -3, -2, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*q + 4*q. Let k = -16 - q. What are the prime factors of k\/12 + 106\/3?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -441 - -191. Let d = 280 + i. Calculate the lowest common multiple of d and 39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 1\/2, -52, 0.01, 0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 5*p**2 - 2*p + 9. What is m(6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1221935 by -715.\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -15. Calculate the remainder when 22 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 + 390. Let d(p) = -46*p - 4 - n*p - 862*p. Let y be d(8). Round y to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -51*y - 16. Let z = 13 + -6. Let r be n(z). Let h = -1883\/5 - r. What is the common denominator of 49\/8 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 688\/(-64) - (-42)\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6060362257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - 0.2. Let d = 16.82 - 770.82. Let n = d + 754.01. What is the smallest value in y, -4, -0.1, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*r = -21, 2 = r - 0. Let i = -21 + u. Solve 0 = 5*k, 2*k + i = -2*s - k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:15 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31352\/1095 + 184\/1095. Factor g*p**3 + 192\/5*p**2 + 36\/5*p**4 + 0 + 3\/5*p**5 + 0*p.\nAnswer: 3*p**2*(p + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49709.45 weeks in milliseconds?\nAnswer: 30064275360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -26. Suppose -2*k - r = -c*k + 890, 1486 = 5*k - 3*r. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 3. Let v be m(-12). Which is smaller: 16 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 46b?\nAnswer: 46f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + -3 + sqrt(72) - 4*((sqrt(72) - (sqrt(72)*-2 + sqrt(72)) - sqrt(72)) + 1 + sqrt(72)))**2.\nAnswer: 168*sqrt(2) + 3532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4243739.06 to the nearest one thousand.\nAnswer: 4244000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11824*v**3 + 2053 wrt v.\nAnswer: -35472*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**7)\/h*h)\/(h*h**(-1\/8)))**(-40)\/((h**(-1\/2)\/h**4)\/(h*h*h**(1\/4)\/h*h*h**(-2\/27)*h)) assuming h is positive.\nAnswer: h**(26209\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (67 - (62 + 6))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 12728412.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 + 684\/48. Suppose 5*r - 26 - v = 0. Calculate the remainder when 29 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2140420 and 1060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2385164 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*p + 60, 2*v - v - 204 = -5*p. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/160*5*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/30)\/(9\/(-5)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 31 (b) -2\/9 (c) -2 (d) 2\/15 (e) -0.3 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.4 + -0.205.\nAnswer: -6.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71729?\nAnswer: 7, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -17, -4, 0, -9 in decreasing order.\nAnswer: 31, 0, -4, -9, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303 - 11301212133?\nAnswer: -11301213102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.3240162 to three dps.\nAnswer: -21.324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557 + 7*r**3 + 1597 - 497 - 543.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 3. Let z be b(8). Suppose 80 = 4*i + 4*d, 3*i = -0*i + 4*d + 67. Let y = z + i. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110011111 - -1?\nAnswer: -10001110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 418704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.49 - -0.19. Let t = w - -0.16. Let v = t - -0.13996. What is v rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -422 divided by -14\nAnswer: 211\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 289110 divided by -3\nAnswer: -96370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/50 + (-4)\/(-10). Let j = 6 - 8. Let t be 0*(j - -1 - 0). Solve t = -d*a + 2*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-300)\/(-8)*2\/1*(-1012)\/(-115) is divided by 47.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/8)*u)\/((u*u**(-5\/3))\/u)*(u*u**(2\/5)*u*u*u)**(-1\/22)*(u**(-1\/4)\/u*u**(-2\/15))**(-13) assuming u is positive.\nAnswer: u**(803\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 33. Let k = y + 52. Suppose 0*p + k = 3*p. Solve -a = -p*f - 10, 3*a = 4*a - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 2. Let d(g) = g**2 - 4*g - 2. Let u be d(4). Let m(z) = 1. Let l(j) = -5. Let a(x) = -l(x) - 6*m(x). Calculate u*k(n) + 5*a(n).\nAnswer: 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -2 + 5 - -2664. Suppose l = 4*l - s. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 9. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3227093776502 + 0.4?\nAnswer: 3227093776502.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27999 + -11718. Does 41 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 14*o**2 + 54*o. Determine x(2).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**2\/8 + 2943*s\/8 - 2949\/4 = 0.\nAnswer: -983, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 18*g**2 - 17*g - 28. Let y(v) = -10*v**2 + 8*v + 14. Let s(j) = 4*u(j) + 7*y(j). Factor s(a).\nAnswer: 2*(a - 7)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4192, -15995, -35424, -62479, -97160, -139467?\nAnswer: -189400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14630 divided by -2090\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 29. Let d = -4 - -6. Let o = h + d. Put -2, 2, o in decreasing order.\nAnswer: 2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4257.946 millennia?\nAnswer: 51095352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/(((-3)\/15)\/((-3)\/6)). Which is the nearest to 2\/3? (a) o (b) -2\/9 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 75, 85, 109, 153, 223, 325?\n\"Answer: z**3 + z**2 + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 3:42 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z = -15. Suppose -4*w + z - 1 = 0. Let b(r) = -23*r**2 + 3. Let n(k) = 8*k**2 - 1. Let s(x) = -6*b(x) - 17*n(x). What is s(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 1295, 3435, 6359, 10025, 14391?\nAnswer: 19415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23232 (base 4) to base 2\nAnswer: -1011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 3*h**2 - 2*h - 1. Let s = -8 - -5. Let m be t(s). Let b(c) = -c**2 + 4*c + 5. Give b(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22263 - 2252 + 2388 = 763*r for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.672901 milligrams?\nAnswer: 0.007672901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2702393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trrzarrfetartrfze. Give prob of sequence fazr.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 10:36 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + m - 56 = 0, -70 = -5*c - m - 0. Let j = 337 - 169. Suppose 35*p + j = 38*p. What is the highest common divisor of c and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1107, 171, -1, 3, 4.\nAnswer: -1107, -1, 3, 4, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0035 times 31790?\nAnswer: -31901.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 42 * 0.12\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9485046383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 358951335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 348630 divided by -10?\nAnswer: -34863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99) + (sqrt(99) - (sqrt(99) - -1*sqrt(99))) + sqrt(99))*-1 + sqrt(99))\/(sqrt(9) - (sqrt(81) + (3*sqrt(81) - sqrt(81)))) + 2.\nAnswer: sqrt(11)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 4*j - 1. Let l be y(3). Let s = -6990 - -7095. Suppose 285 = l*r + s. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -190.95 + 191.05. Which is the closest to 3\/2? (a) 40.5 (b) 4\/3 (c) -0.3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 5.5. Which is the third smallest value? (a) 1 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -188 - -27?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 109122535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 9. Let h be l(8). Let v be h + -1 + (4 - 4). Let z be ((-25)\/(-12) + -2)*3. What is the closest to 1\/4 in v, z, -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 437.1 - 438.2. Is q smaller than -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 45*o + 268. What is t(-50)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31162.\nAnswer: 2, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18094651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7848 - 5289. What are the prime factors of m?\nAnswer: 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 90.77327 meters?\nAnswer: 90773.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 1. Let s be (-6)\/5 - (-1)\/5. Let w(u) = 54*u - 52*u + 0 + 0 + 3. What is s*w(b) + 3*n(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60975 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 56 + 64\/7*f**2 + 4\/7*f**3 + 44*f = 0. What is f?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8 = -5*i, 0 = 4*j + i - 2*i - 22. List the prime factors of (-1)\/(((-15)\/j)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*z - 35, -10*k - z = -6*k - 38. Let i(q) = q**2 + 2*q + 2. Let n(u) = -5*u**2 - 9*u - 9. Give k*i(s) + 2*n(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e3 + -2?\nAnswer: 2e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-48))\/(252\/120*-5).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57.3 + 60. Let v = z - -0.3. Let q be ((-3)\/(-7))\/((-40)\/(-56)). Sort -0.08, q, v in ascending order.\nAnswer: -0.08, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.53 + 806.47. Let q = -817.21 + c. Let x = q + 0.21. What is the closest to 1 in x, 7, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338548 and 89948.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1193264 and 2983160?\nAnswer: 5966320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -0.1, -1\/5, 11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18044676, -36089358, -54134040?\nAnswer: -72178722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*w + v, 3*w - 8 - 11 = -5*v. Suppose 0 = z, -z + 6*z = 3*l - 12. Find the first derivative of -24 + 76*p**l + w*p**3 - 61*p**4 - 3*p**3 wrt p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -78*u**2. Let k(j) = -75*j + 29*j + 48*j + 6. Calculate m(k(r)).\nAnswer: -312*r**2 - 1872*r - 2808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1100010000011000 (base 2) to base 3\nAnswer: 2112212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 563 - 568. What is the nearest to 5.9 in 3, -2, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 21*w**3 - 22*w. Let h be (-5)\/45*-51 + (-2)\/3. Let a(s) = -10*s**3 + 11*s. Let i(n) = h*a(n) + 3*l(n). Find the second derivative of i(g) wrt g.\nAnswer: 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 75\/4 of a meter?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 9:11 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1229.3?\nAnswer: 2458.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 31*l**3 - 6023*l**2 + 1745*l + 205. What is q(194)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 23. Put 1, p, -4 in descending order.\nAnswer: 1, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 1:56 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/24, 0, 14, -0.08?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-9) - (-88)\/9. Suppose -3*x = 2*x - b. Solve 5*i + 1 = x*c, 6*c - c - 15 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**(1\/5)))\/r)**(1\/15))**45\/(r**(1\/3)*r*r*r\/r**(3\/10))**29 assuming r is positive.\nAnswer: r**(-2747\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**3 - 477*m**2 - 10098*m - 9609. Let y(r) = -3*r**3 - 239*r**2 - 5048*r - 4804. Let f(v) = 4*u(v) - 9*y(v). Let f(w) = 0. What is w?\nAnswer: -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + (-2 - (2 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18071\/12 + -1507. Let b = 3\/4 + s. Is 2\/3 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2510*d - 4 - 185659*d.\nAnswer: -183149*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5913*s + 3*s**2 - 5913*s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.19 (c) -2 (d) 16069 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -25. Let v be (-1 - -16)\/(18\/(-24)). Let n be (6\/z)\/((-18)\/v). Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2134701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3912747.15200572 + -3912747. Let t = -0.152 + k. What is t rounded to seven dps?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-112)\/(-98))*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9577, 3322 in increasing order.\nAnswer: -9577, 2, 3322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -9. Suppose z*j = -2*j + 16. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3 - 38*i**2 + 396*i - 648 = 0.\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -5)*-2 + 21. Suppose 13*s - i = -4. Let m = -1 + 1.2. What is the nearest to s in -3, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 11*x**2 - x - 10. Suppose -19*f + 24*f = -55. Let k be b(f). Is k greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675.63356 days in weeks?\nAnswer: 96.51908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -2011?\nAnswer: -7\/2011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(74\/(-148)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194939012.\nAnswer: 2, 19, 113, 22699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, o: 6}. Give prob of picking 1 k and 3 o.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39044889 and 810?\nAnswer: 1171346670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37508.\nAnswer: 2, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**3 + 212115*h**2 - 310940055*h + 116001536265 = 0. Calculate h.\nAnswer: 753, 40917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 15?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236468, 236613, 236854, 237191?\nAnswer: 237624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 322 or 4204\/13?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0577 - 3.0577. Which is the closest to -2\/3? (a) i (b) -4\/5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a week in hours?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114364*m**2 + 10508*m wrt m.\nAnswer: -228728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 + 226. Calculate the remainder when o is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13582902 + -22672902. Round l to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -72*c**4\/5 + 68*c**3\/5 + 4*c**2\/5 = 0?\nAnswer: -1\/18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 202, 436, 704, 1024, 1414, 1892?\n\"Answer: 3*p**3 - p**2 + 216*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12\/11)\/(v\/v**(-14\/3)))**(-2\/57) assuming v is positive.\nAnswer: v**(446\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a day in hours?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 - -68. Let n = f + 224. Suppose -3*h + 55 - n = -3*g, 2*h - 486 = -4*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 166*c**3 + c**2 + 1. Let x(s) = s + 14. Let a be x(-13). Let d be n(a). Suppose 0 = -4*h + 700 - d. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-76)\/18 + (-2)\/(-9). Let n be f\/6 + 10\/6. Suppose -5*b + 4 + n = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(720) - ((sqrt(5) - sqrt(15)\/sqrt(3)) + -1).\nAnswer: -12*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 - 2991\/34. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(190)*-1)\/sqrt(10) - (sqrt(475) + 5 + sqrt(475) + 0)**2)*3.\nAnswer: -5775 - 309*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 27 - 84*o**2 + 28 + 4*o**2.\nAnswer: -80*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4*n, 5*c - 5 = -5*n - 0. Suppose -2*x = -520 + 140. Suppose -10 = -6*z + 4*z, 0 = -3*i + c*z + x. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yywa when four letters picked without replacement from {y: 4, w: 3, a: 11}?\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 1, j: 1, w: 1}. What is prob of sequence ywm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lubwllbwl. Give prob of sequence bl.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let v be (0 + -1)*(-5)\/m. Let g(d) = 4*d + 2*d - v*d. Let o(r) = -r. Calculate g(o(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - (-1 + 28)) + -31.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.275 and 0.1.\nAnswer: 0.3275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 139 or 137?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**5\/20 + s**4\/6 - s**3\/6 - s**2 - 29*s - 2. Find q, given that z(q) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 132634 and -18.83206.\nAnswer: 132615.16794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 465 (base 11) to base 10\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = x - 9, 0 = 2*x + 5*t - 17. Let w = -43 + 45. Let p be w + 6 + (x - 16). Solve 4*f + 0 + 6 = p*s, 5*s = -2*f - 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 2:25 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q - 3*q + q + 7*q + 47*q**2. Let s be j(1). Suppose 2*g - 4*g + s = 0. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 46, 79, 134, 217, 334, 491, 694?\nAnswer: 949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(((-10)\/(-45))\/(85\/(-765)))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1083*j**3 + 456*j**2 + 1297309*j.\nAnswer: 6498*j + 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 2, -22224, 133 in decreasing order.\nAnswer: 133, 5, 4, 2, -22224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -37*w - 6 - 54*w + 90*w + 2 + 4. Let g(l) = 2*l**2 - 10*l**2 - 29*l**2. Give g(o(u)).\nAnswer: -37*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0475707 + 0.0476. Round l to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*2 - (-3 + 5). Suppose -6*y + y + 575 = g. Suppose n - y = -4*n. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -p + w - 9, -4*p + 5*w - 1790 - 1794 + 3557 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:26 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19561 is divided by 662?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 292025 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -302 - -305. Suppose -3 = i + 4*q - 4, -6 = i - o*q. Let w be (6\/(-10))\/(-3)*1. What is the second smallest value in w, 6, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-128)\/(-560))\/(1488\/360 - 4).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243239201487 + 9*m**3 + m**2 - 3*m**2 + 243239201487.\nAnswer: 9*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-7 + 9)) + (5 - -6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -9*x - 5. Let p = -1443\/35 + 204\/5. Which is bigger: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 26 + 12)*(-t - t**3 + t) - 725 - 166*t**3 + 725.\nAnswer: -198*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22 times -5\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/(sqrt(14)\/sqrt(2)) - sqrt(8)) + (sqrt(144)\/sqrt(2) - sqrt(8)))\/(sqrt(100) + -3*(sqrt(100) - (sqrt(100) - sqrt(100)*-2)) + sqrt(100)).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*l**3 - 28882*l**2 + 4200583*l?\nAnswer: 414*l - 57764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from yjjjjjppqyj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*i + 180 = -45, -2*i - 225 = -5*p. Suppose -41 = o - p. Solve 0*t = -2*t + o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-94)\/(-18))\/(-47))\/((-1)\/((-360)\/(-6))).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/3 - 94702*t**2 - 142054*t\/3.\nAnswer: 2*t*(t - 71027)*(2*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*2*3*sqrt(104))\/(sqrt(392) + ((sqrt(392) - -1*sqrt(392)) + sqrt(392) - sqrt(392))*-6).\nAnswer: -18*sqrt(13)\/77 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from {d: 7, r: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 22 = 6*k - 4*y, -17 = -2*k - 3*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -22. Suppose -z + 76 = h*q, -z = q + z - 12. Solve 0*s + 5*n = 3*s + 14, 4*s + 3*n - q = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 84\/5*5\/2. Let p = c + -42. Let u(y) = y**3 + 2*y**2 - y + 126. Does 9 divide u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-35)\/3 - (-4)\/6. Let a(t) = -t - 8. Let b be a(y). Differentiate -2 - 2 - b*h + 2 with respect to h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 6*l**2 - 4*l - 7. Let c be w(8). What is the common denominator of c\/(-140) - (-8)\/28 and 97\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -212305, -849394, -1911269, -3397930, -5309377, -7645610, -10406629?\n\"Answer: -212393*q**2 + 90*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/18)\/((-6)\/(-2403)). Let r = b - -268. What is the biggest value in -0.2, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 27873*j - 27878*j + 231, 4*t - 3*j + 89 = -44 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 5. Let j be u(-3). Let h be ((-1)\/(-9))\/(j\/(-24)). Which is the closest to 3? (a) -0.2 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 18*a + 19. Let s be j(-8). Let d(l) = -l. Let f(y) = -4*y**2 + 3*y - 2. Determine s*d(r) + f(r).\nAnswer: -4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8131, -16262, -24393, -32524, -40655, -48786?\n\"Answer: -8131*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 105 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 4*q + 2. Let x be d(5). Let i be x\/((-9)\/6) - 1. Let o = 6 - 2. What is the greatest common factor of i and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 11*a**3\/9 - 10*a**2\/3 - 4*a\/3 - 17. Let y(m) = 0. What is m?\nAnswer: -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**5)\/(y**(-14\/5)*y))\/(((y\/((y*y\/y**(-2\/21)*y)\/y))\/y)\/y*y\/((y**19*y*y)\/y)) assuming y is positive.\nAnswer: y**(3139\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*y**2 + 8628*y - 8628*y.\nAnswer: 306*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from nnxknnnxnkf?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(120)\/(sqrt(10)*5 + sqrt(10))*-5)**2.\nAnswer: -10*sqrt(3) + 52\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 734 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 26 = -3*j. Suppose -3*l - 2*s = -44, -s + 11 = 4*l - 46. Let k = j - l. Calculate the remainder when 4 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + ((104\/28)\/((-30)\/105) - -8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*d - 9*d**2 - 284*d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 10135516?\nAnswer: -10135516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 215 + -4?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 671, 672, 673, 674, 675?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10288 + -10274. What is the remainder when 80 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -405 - -1217. Let a = 811.3 - s. Let m = 25\/6 + -113\/30. What is the nearest to m in a, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*a*g**3*k + 3*a*g**3*v - 304*a*g**2*k*v - a*g**2*k + 3*a*g**2*v + 29*g**3*k*v + 2*g**2*v - 3*g*k*v wrt g?\nAnswer: 264*a*k + 18*a*v + 174*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 5628832?\nAnswer: 50659488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -111914 < -111915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.031 or 35?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-390 + 740 + 584)*(17 - 2*o - 17).\nAnswer: -1868*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**3 - 85116*o**2 + 142*o + 215094.\nAnswer: 6*o - 170232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h - 41*h + 21*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 618 divided by 656.\nAnswer: 309\/328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - -16 - (-15 - (-15 - 4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/8*2\/33)\/((-871)\/(-1809)*-27)?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 139540, 134319, 129098?\n\"Answer: -5221*g + 144761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26041)\/20 + (-21)\/(-6) + -2. Let p = y + 1301. What is the common denominator of p and 55\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2667 and 2286.\nAnswer: 16002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122.862 + -123. Let n = u + 0.012. What is n rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 14*t - 109. Calculate s(-21).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3541, 7076, 10607, 14134?\n\"Answer: -2*n**2 + 3541*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -7\/225, 1.4, 5, -1, 0.2 in increasing order.\nAnswer: -1, -1\/3, -7\/225, 0.2, 1.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -16. Let r be (-1252)\/(0 - z\/82500). Suppose -r = 3*b - 14*b. What is b rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 762301*f**2*p**3 - 2*f**2*p + 17*f*p**3 - 482*f*p - 1989*f - 10 wrt p.\nAnswer: 4573806*f**2*p + 102*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b\/((((b**(-4\/5)*b)\/b)\/b)\/b)*b)*b*b**(1\/5))**(-1\/7) assuming b is positive.\nAnswer: b**(3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -36. Let o be (-16)\/b - (-6 + 5). What is the biggest value in -4, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*v + 0*v - 3*v as k*v + i and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 12:12 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28182 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*y = -y - 9, -2*y + 4 = 0. Suppose -2*a - 2*h = -4*a + 48, 2*a - 4*h - 56 = 0. Let v(l) = -5*l + 97. Let i be v(a). Is i less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + r. Let x(t) = 4*t**2 - 30*t - 727. Let f(b) = 8*u(b) + x(b). Find the first derivative of f(l) wrt l.\nAnswer: -8*l - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -157, -27, 1, -5 in increasing order.\nAnswer: -157, -27, -7, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 441, 6, -0.04, -0.032 in descending order.\nAnswer: 441, 19, 6, -0.032, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -398*k - 2396. Let s be l(-6). Sort -4, s, 7, 4, -11.\nAnswer: -11, s, -4, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 508, 2061, 4670, 8353, 13128, 19013, 26026, 34185?\n\"Answer: 3*a**3 + 510*a**2 + 2*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -2, -4 in descending order.\nAnswer: -2, -4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -18. Suppose n*m + 58 = -35. Let o = 61 + m. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -567.7?\nAnswer: -170.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452144528.\nAnswer: 2, 3, 61, 165317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -6.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*g - 204, 300 = 3*z - 0*g - 3*g. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1519, 5, -3, -5, -2\/11.\nAnswer: -1519, -5, -3, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)\/w)\/(w*w**(-2\/3)*w)*w**(-3)\/(w\/((w**2*w)\/w)) assuming w is positive.\nAnswer: w**(-41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**7\/3780 - 7*s**6\/1080 + 13*s**4\/24 - 3*s**2 + 8*s. Let o(z) be the second derivative of u(z). What is x in o(x) = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3766488614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 430040.\nAnswer: 1\/86008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01073473936 rounded to 6 decimal places?\nAnswer: -0.010735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60802? (a) -3\/8 (b) -4\/5 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 137465762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36126 and 108.\nAnswer: 72252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539590883 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 27. Let g be (1109*(3 + -4) + -1)*k. What is g rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 5\/748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4688, -5122, -5544, -5948, -6328?\n\"Answer: x**3 - 441*x - 4248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 6*h + 2*h)*(h**2 + h**4 - 3*h**2 - 4*h**4) + (-67 + 67 + 13*h**3)*(-7*h**2 - 17*h**2 - 5*h**2).\nAnswer: -374*h**5 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 25a?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7446 and 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.7 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.007?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**3 + 16*a**2 - 128*a = 0. What is a?\nAnswer: -8, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 204996019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 15*f**3 + 4*f**2 + 12*f - 79. Does 81 divide k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3\/2*a**5 + 0*a - 15\/2*a**4 + 0 - 3\/2*a**3 + 15\/2*a**2 = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1547448*w**3 - 4642338*w**3 + 1547450*w**3 + 1547444*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 - x - 4. Let d be a(-5). Suppose 4*o - 2*w + 76 = 0, -2*o + 7*o + d = w. Let t = o + 31. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62\/21 + -269\/84. Which is the fifth smallest value? (a) -5 (b) 15\/4 (c) 1 (d) 0.1 (e) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3*(sqrt(51) - (sqrt(153)*-3)\/sqrt(3)))\/(sqrt(30)\/(sqrt(100)\/(sqrt(250) + sqrt(10)))))**2.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbh when three letters picked without replacement from {b: 1, h: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 122*x + 6947. Calculate s(-57).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48280 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 495 + 171. Let z = -76 - d. Let j(n) = 3*n**3 + 4*n**2 + 2*n. What is j(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9201, 18399, 27597, 36795, 45993?\nAnswer: 55191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3 + 12*o + 0 - 13*o - 2. Let v(p) = 12*p + 7. Let s(z) = 18*c(z) - 2*v(z). What is the units digit of s(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350.296 rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*g + 9453 = 2535 - 3445 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 35836*d + 573368. Determine w(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**5\/10 - 21*i**2\/2 + 31*i. What is the derivative of w(h) wrt h?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -28.668. Let b = 0.045 - 2.345. Let y = b - k. Round y to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 10 = 5*b, -4*a = 4*b - 0*a. Suppose 3*x = 5*n + 2*x + 193, x - 3 = 0. Let f = b - n. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-532)\/114*(-6)\/7. Solve l + s = -5, -l = -0*l + g*s + 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 15*y + 24990. Suppose 7*t - 28427 = y. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**5 + 45*h**4 - 222*h**3 + 330*h**2 + 225*h - 375 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b)**(-23)*(b\/((b*b**4)\/b))**8 assuming b is positive.\nAnswer: b**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5120 - -2533. What is f rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -2 (b) -2626 (c) -14 (d) 1\/3 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 7*f**2 - 5*f + 8. Let t be 6\/(2 + -3 - 0). Let v be r(t). Suppose 0 = -b + v + 1. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*p - p**3 + 0*p**3 + p**2 + 22*p in the form y*p**2 + h + d*p**3 + b*p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhzw when four letters picked without replacement from hzhzhzzzzhwhz.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0 - -1) + (34 - 18550\/550). Suppose 5*d - 2*u = 20, -3*u + 8 = 2*d - u. Which is the nearest to 3? (a) d (b) s (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75020 divided by -18755?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -22122020220?\nAnswer: -22122021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/27 in 0.1, 0, 4\/3, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3692 and 6318.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 7 - (-219659 + 10 + -12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 0*m**2 + 1\/20*m**5 + 0 + 0*m**3 + 31*m - 1\/2*m**4. Calculate q(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5925*s + 12. Let y be v(-2). Is (y\/4)\/3*(15 + -17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -3*g, 3*a + 9 = a + 5*g. Let q(v) = v**2 + 6*v + 5. What are the prime factors of q(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5018)\/(-77) + 2\/7. Let k = 2177\/22 - i. Find the common denominator of k and (1749\/(-99))\/53 + (-145)\/33 + 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2334896 - -3322865. Suppose 872031 + u = 3*w. What is w rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821*o = 3325*o + 26 - 26 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**7\/2520 - h**4\/2 + 8*h. Let p(y) be the third derivative of r(y). Let u(x) = 4*x. Give u(p(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 2*o + 3. Let x(y) = y + 1. Let m(t) = -q(t) + 5*x(t). Give m(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -21325?\nAnswer: -21331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1. Let m(w) = w - 6. Let l(r) = -4*h(r) + m(r). Let g = 0 - -2. Let s be l(g). Solve 2*i = -b - 0*b - 6, -b + 4*i + 24 = s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-45) + (-6389)\/(-3) - 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 + 60 = -5*a. Let s(t) be the first derivative of -t**3\/3 + t**2\/2 - t - 1. Let i(z) = -5*z**2 + 2*z - 2. Calculate a*s(m) - i(m).\nAnswer: 2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 14 = 3*c, 20 = 4*c + 2*a + 32 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30456 by 5076.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 8. Let y(a) = -a**2 - 13*a + 12. Suppose -10 + 70 = -6*z. Let g be y(z). What is the highest common divisor of g and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Suppose 4*n = -n + 4*m + 107, -4*n = -g*m - 84. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 + 53*t + 548. Let i be b(-19). Calculate the highest common divisor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6768*s = -6531*s + 8058 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -15, -61, -135, -243?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1165, -2329, -3493?\n\"Answer: -1164*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10235384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n = -36*n - 4924. Let f = n + 14647\/12. What is the common denominator of f and 103\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i = 18. Calculate the greatest common divisor of 66 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9237248.\nAnswer: 2, 36083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -46. Suppose -114 = -w - f. Calculate the greatest common divisor of w and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 11. What is j(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3188 = -4*r, -3*r + 0*b = -b + 2399. Let v = -340 - r. List the prime factors of v.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 934*t + 949*t + 2*t**3 - 1883*t.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 218 + 5 + (-1 - -1). Suppose p + 2*s = -3*s - 115, -3*s = 2*p + a. What are the prime factors of ((-35)\/25)\/(2\/p)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32481, 32516, 32551?\nAnswer: 32586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*v**5 + 1664*v**4 - 1552*v**3 - 10304*v**2 + 1536*v = 0. What is v?\nAnswer: -2, 0, 6\/41, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21367, -167686, -564937, -1338586, -2614099, -4516942?\nAnswer: -7172581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011 (base 3) in base 6?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2321615 and 13\/1245?\nAnswer: 578082135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 949709303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 99, 207, 369, 603, 927?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 5*n**2\/2 + 2. Let h(p) = -12*p - 4. Give h(i(u)).\nAnswer: -60*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 66. Suppose r*j - 56 = 5*j. What is the lowest common multiple of j and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 0*u**4 - 43*u**3 - 29\/5*u**5 + 0*u**2 + 0*u - 61. What is the third derivative of y(n) wrt n?\nAnswer: -696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -407\/4, 0.2579, -1.\nAnswer: -407\/4, -1, 0.2579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2, -182.5, 34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 11*b**2 - 9*b - 14. Let l be x(10). Let h be l*((-9)\/(-3) - 2). What is the closest to -2\/3 in 0.1, -5, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8094598, 1\/4, 17, 0.\nAnswer: -8094598, 0, 1\/4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257884?\nAnswer: 2, 11, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 17 + 42 = 0. Sort y, -1, -3 in descending order.\nAnswer: y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -325, -644, -963, -1282?\n\"Answer: -319*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by 56.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*d**2*s**2*y**2 - 2*d**2*s**2*y - 36818*d**2*s*y**2 + 120*d**2*s + 8*d - 4*s*y - 2*s + 2 wrt y.\nAnswer: 60*d**2*s**2 - 73636*d**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/4 + 7*m**4\/4 + 15*m**3\/4 + 9*m**2\/4.\nAnswer: m**2*(m + 1)*(m + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-12)*2*8\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*a - 9*h + 4*h, 2*h = -2. Solve -a*l = -6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 - 3)*(32*g + 105*g - 41*g) to i + a*g and give a.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26820*-5.9.\nAnswer: 158238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6103829.5 rounded to the nearest ten thousand?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*1*sqrt(612)*4*-1)**2.\nAnswer: 288*sqrt(17) + 88132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88437469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzeezeepepeeeppaep. Give prob of sequence eap.\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and -47801.7370594.\nAnswer: -47793.7370594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + -130603?\nAnswer: -130568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*b = 9, b = g - 3*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3699 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3658 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -64*u**2 - 9*u + 1. What is o(1)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(110)\/(sqrt(40)\/sqrt(4))) + -5.\nAnswer: -5 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4 = -16. Let a = l - -3. Let y be (1\/2)\/((-33)\/6). Are a and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b\/((b*b*b\/((b**(1\/3)\/b*b)\/b))\/b)*b))**(35\/2)\/((b\/(b**(-3\/7)\/b))\/(b**(-5)*b)))\/((b**1*b)**(-24))**(9\/8) assuming b is positive.\nAnswer: b**(3223\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9 + 25 - 1 - j. Let z(c) = 2*c**2 + 18*c - 116. Calculate the lowest common multiple of z(-14) and r(0).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/20 - p**4\/4 + 3*p**2. Find the second derivative of r(u) wrt u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 7*t + 9. Let z(i) = -1 + 3 + i - 36*i - 14*i. Does 41 divide z(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3644, -3643, -3642?\nAnswer: -3641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-30) - (-27)\/(-5). Let s = l - -7. Does 15 divide (3 - -40)\/(2\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 8*g + 0 + 10*g + (-g + 6*g - 3*g)*(0 - 1 + 0) - 11 + 7*g + 11 - 4 + 3*g + 4.\nAnswer: 10*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 377.1 less than -51239?\nAnswer: -51616.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 64490, 128971, 193452, 257933?\n\"Answer: 64481*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 2*m**2 - m + 1. Calculate g(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**6\/720 + l**5\/30 - 41*l**4\/12 + l**2\/2 + 14*l + 2. Let r(b) be the third derivative of n(b). What is r(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -7*a**3\/2 - a**2 - 6*a. Let n be m(-1). Suppose 5*p = -n + 159. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(3*h - 4*h - 2*h)*(-12*h + 6*h + 4*h + 12).\nAnswer: 12*h**2 - 72*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 409339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*(-1 + 0) - -3. Let r be ((-6)\/27)\/(i\/6). Factor -r + 1\/3*s**2 + 0*s.\nAnswer: (s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-64)*(-1)\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1050, -1049, -1048, -1047?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.8691 rounded to 1 decimal place?\nAnswer: 280.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -504 and 1021323938.4?\nAnswer: 1021324442.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -7 + 16 - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 245098, 245029, 244960?\n\"Answer: -69*c + 245167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from pmmtppmpxpxtxmmpppp.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 911694 divided by 2658?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*a - 50, 44 - 125 = -5*a - 3*w. Let v(c) = -19*c + 286. Let z be v(a). Calculate the greatest common factor of 101 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 15670723.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -2. Suppose 5*d = 3*k + 8, -2*k = -2*d - b*k + 24. Suppose -d*z + 2*f - 5*f - 1 = 0, 2*z = -f - 1. Let q(v) = -5*v**2 + v + 1. Give q(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 41102909.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -5, -1\/4, -1\/6, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 779 (c) 0.3 (d) 4 (e) 5 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*o + 4 - 1 = 0, -3*o = 0. Let y be 0 - (1 - q\/(-3)). Let a be (-2 - -1) + -2 - -7. Solve -2*c + 5*x - 25 = y, -a*c + 0*x = 4*x - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 0*x**2 - 1\/12*x**4 + 1\/9*x**3 + 0 - 5*x + 1\/60*x**5. Factor z(c).\nAnswer: c*(c - 2)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.22 and -44957?\nAnswer: 369546.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 2585.\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*s**2 - 20*s**2 - 35*s**2.\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 671689 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**3 + 2*v**2 - v + 1. Let j be d(3). Let u be 83\/(-5) - (-26)\/j. Let w = u + 0. Do 0.1 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322444.\nAnswer: 2, 80611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*v + 33 = 0, -4*v = -2*v + 10. Let s = n - 15. Calculate the smallest common multiple of s and -11*1\/2*-2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14167*r*u**3 + 2*r*u + 12601*u**3 wrt r.\nAnswer: 14167*u**3 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1. Let y(b) = -5*b + 18. Let n(m) = 2*m - 11. Let a be n(5). Let v(d) = a*y(d) - 3*g(d). Does 24 divide v(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 737 + -733. Solve w*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g = -17*g + 3*q - 30, 34 = 3*g - q. Determine x so that -120*x**2 - 3*x - 15 + g*x + 115*x**2 + 15 = 0.\nAnswer: 0, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahahhha. Give prob of sequence hah.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1735\/22 <= -79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a99a5 + 3?\nAnswer: a99a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 j when four letters picked without replacement from sjsjjjjsssssss?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10389 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*u - 218*u - 1641 + 15705 = 144*u for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72062 divided by -274.\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 8, a: 2, e: 3}. What is prob of picking 2 a?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406.6487 millennia to centuries.\nAnswer: 4066.487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -v, 86*v + 2*t = 83*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3218 is divided by 407?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -49083.78, -4, -0.3, -0.5?\nAnswer: -49083.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054448 rounded to six decimal places?\nAnswer: 0.000544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*c - 42*c - 135 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 88 = 15*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 793030778?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52718611, 105437219, 158155827, 210874435, 263593043?\nAnswer: 316311651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 3927255?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237316?\nAnswer: 2, 79, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -20*j**2 - 32*j - 35. Let m(x) = 7*x**2 + 11*x + 12. Let n(y) = -17*m(y) - 6*s(y). List the prime factors of n(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (-1 + 0)) + 12\/4. Suppose u*a + 10 = -10*a. Let p(c) = c**3 - 4*c**2 + 2*c + 4. Let f be p(3). Sort f, a, 0, 5.\nAnswer: a, 0, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*n**3 - 700*n**3 + 333*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44\/5 of a tonne?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 - p + p)*(18 + 5*p - 18) - p**5 - 2*p + 2*p - 28*p**5 + 33*p - 129*p**5 - 33*p.\nAnswer: -163*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 - 160 - 274 - 145)*(6121 - 6121 - 48*k) as o + y*k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.5 - -9. Let b = d + 6.5. Let a = 2 - 1. What is the closest to a in -0.2, -5, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from moymmmmyyymmmmyyym.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 240*b**3 + 7664*b**2 + 27840*b + 26912.\nAnswer: 2*(b + 2)**2*(b + 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c + 5. Suppose 502 = 6*j - 122. Suppose j*m - 107*m = 15. Determine v(m).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*q**2 - 23*q**2 - 41*q**2 + 26 - 4*q**4 to the form f*q**3 + o*q**2 + a + r*q**4 + l*q and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 - 16 = 0. Suppose 3*g - 145 = -0*u + u, g - 795 = k*u. Let z = -71 - u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 + 2*t**3 + 8*t + t**4 - 9*t - 2 - 2*t in the form w*t**4 + c + u*t + j*t**3 + g*t**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21111043 and -1?\nAnswer: 21111044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*1)\/sqrt(8) + (sqrt(432) + -1*sqrt(432) - sqrt(432)))\/(sqrt(44)\/(-2*sqrt(176))).\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - -42. Suppose 0 = 2*f + x + 70. Let s = f - -157. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -5, -29, -12, 13, 0.033 in increasing order.\nAnswer: -29, -12, -5, -3\/2, 0.033, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -x + 11. Let p(f) = 3*f**x - 15*f - 3*f**3 - 13*f + 4*f**3 + 30*f. Suppose 0 = -3*s + 2*y, 4*y = -5*s - y - 25. Give p(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 247*g. Let l(h) = -8*h**2. Give j(l(c)).\nAnswer: -1976*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Suppose 2*u + 2*u = 24. Suppose 2*s - u = -i, -5*s + 4*i - i + 4 = 0. Solve 0 = -y - s, -2*y + c = 4*f - 3*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3*c - 3*c)*(-6 + 2 - 3).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 50?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 12:58 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 - 197*d - 4180. Let p be l(-31). Let t(q) = -13*q - 3. Let j(i) = 26*i + 7. Calculate p*t(m) + 2*j(m).\nAnswer: -13*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 4 = 5*t. What is the hundreds digit of 1*(-52)\/1*(t + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -20*o + 6. Let b(z) = 19*z - 6. Let f(x) = -7*b(x) - 6*l(x). Differentiate f(h) wrt h.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9298 less than -4701?\nAnswer: 4597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - -39386206.8.\nAnswer: 39386161.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 13*z - 11. Let j be u(-9). Calculate the highest common factor of 275 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 - ((-6 - 3) + 15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 60, 140, 260, 426?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 2102320420?\nAnswer: -2102320423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 709 + 6597. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4078859 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 11}. Give prob of sequence rkr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-5))\/(18\/15). Let f = 442 + 577. Suppose -f*h - 25 = -1024*h. Which is the closest to -2? (a) 3 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3303 + 111?\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27.3 in 0.04, -188, 2\/393?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-14) + ((-32)\/42)\/2. Which is the nearest to -1? (a) -4 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 24 + 0 = 0. Let h be (k\/8 - -4)*14. Let r(t) = -t**3 - 3*t**2 - 5*t - 4. Let y be r(-3). Calculate the greatest common factor of y and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 10:42 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 456, 4, 3, 2 in descending order.\nAnswer: 456, 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -35. Suppose 0 = -s*c + 17*c. Solve 3 = 3*g - c*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 = 16. Let i be (-1)\/2 - k\/(-12). Let q(l) = -l**2 + 32. What are the prime factors of q(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 91*o - 96*o. What is the hundreds digit of (604 - 2)\/(4\/o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10645\/21 + 507. What is the second smallest value in q, 2, -4, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59019186*-0.4.\nAnswer: 23607674.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppjpshht. Give prob of picking 1 j and 1 h.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 330 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5845123 to the nearest integer?\nAnswer: 2418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 5*p**2 - 16*p + 13. Give g(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 1:33 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by 171?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9504 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10001 (base 2) to base 5\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -12*q**3 + 2*q**2 - 22*q - 96. Let z be r(-5). Calculate the greatest common divisor of z and 460.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -4 (c) 1416 (d) 12 (e) -0.2 (f) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1475\/40 + (-1)\/(-8) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z = 7*z. Which is the nearest to z? (a) -6\/7 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 18. Suppose -d = a*d - 471. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*m**3 - 145*m**3 + 6528*m + 6492*m + 6497*m - 19517*m.\nAnswer: -242*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92669?\nAnswer: 92669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = v + k + 63, -2*v = 5*k + 154. Let t = 81 + v. Calculate the highest common factor of 44 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Let c be (1\/2)\/((-3)\/(-42)). Suppose -3 = 5*j + g + c, -g = 0. Put t, -5, j in descending order.\nAnswer: t, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - 1b?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/30375 and -163\/6750.\nAnswer: 60750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 2*x - 9, -3*i - 6 = -4*x + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 9334*c - 196015. Give b(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -2, -1, 4 in descending order.\nAnswer: 4, -1, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4 + 25013107*r**3 + 678358735*r**2 wrt r.\nAnswer: 48*r + 150078642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*v - 130*v - 3*k - 3*k + 5*k = 23, 3*k + 51 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 8:59 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1081 + -1077. Let i be (0 - 0) + (1 - -204). Suppose -1097 = -b*o - i. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(117) - (sqrt(117) + -1*sqrt(117)*2))**2 - ((sqrt(325) - (4 + sqrt(325) + 1 + sqrt(325)))*-4)**2.\nAnswer: -6536 - 800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91539 - -366209\/4. Let -25\/4*h**3 + 0 - 15\/4*h + 3\/4*h**4 + n*h**2 = 0. What is h?\nAnswer: 0, 1\/3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -4. Let u be -29 - (q - (2 - -2)). Calculate the common denominator of 13\/8 and ((-1)\/u)\/(4\/(-296)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -19, 1.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, -3, -1660, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2196*f*g**2 + 6621*f*g - 294115*f + 2*g**2 - g + 153 wrt g?\nAnswer: 4392*f*g + 6621*f + 4*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - 7*r - 4*r**2 + r)*(-5916 + 5915 + r - 2*r) to the form k*r**3 + g + u*r + y*r**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 1:50 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 23*u - 22*u. Let a be (-56)\/(-10) + 9*(-6)\/u. Solve 2*q - 1 = a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(60)\/(sqrt(10) - (sqrt(490) + sqrt(490) + (sqrt(490) + 2*sqrt(490) - sqrt(490)) + sqrt(490))))\/(sqrt(21)\/sqrt(112) + sqrt(363)*-1))**2.\nAnswer: 8\/534361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2. Let v(y) = -2*y**2 - 7*y - 8. Let j(i) = -i**2 - 4*i - 4. Suppose 7*u - 15 = 4*u. Let r(o) = u*j(o) - 3*v(o). Give -5*b(x) + 2*r(x).\nAnswer: 2*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 116?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -19. Let v = 12 + u. What is the least common multiple of 22 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -q - 6*v + 10*v, q - v - 12 = 0. Let u(d) = -2*d - 13. Let j be u(-9). Solve 0 = o + 4*o - r - 5, 4*o = j*r - q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 10:37 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -30?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -w + 118, -4*w - 4*n + 499 = -7*n. Let y = -88 + w. Is 18 a factor of -2*1 + (y - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 2. Suppose -20 = -d*g + 4*g. Suppose 5*f - 4*t - 12 = -7*t, -g*f + 14 = t. What is the highest common divisor of f and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17 and -0.207.\nAnswer: -17.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -9)*(-1)\/1. Let t(u) = -2*u**2 + 4*u + 3. Let h(a) = -5*a**2 + 9*a + 7. Give r*t(o) + 3*h(o).\nAnswer: -o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrbrrrlrrllbrbbrll. What is prob of picking 2 b and 1 r?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ror when three letters picked without replacement from {o: 7, r: 3, n: 9}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -6 - (-10 + 14 + 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 + 162*q + q**2 + 4*q**2 + 237*q + q**2.\nAnswer: -2*q**2 + 399*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 - 3*p)*(3765*p - 1 + 2 - 3928*p) to a*p**2 + i + t*p and give a.\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 6 + 9*v**2 - 3*v**2 - 1. Let s(l) = -4*l**2 + l + 5. Let h(z) = 5*j(z) + 7*s(z). What is b in h(b) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l + 20 = 24*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14934251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = -5. Suppose 0 = -o + 5*f - 18, 2*f - 4*f = -2*o - 4. Sort 4, o, q in ascending order.\nAnswer: q, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 244 = -24*d. Let c = -365\/6 + d. Factor 1\/6*g**4 + 1\/6*g**3 - c*g**5 + 0 + 0*g - 1\/6*g**2.\nAnswer: -g**2*(g - 1)**2*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*j - 24, 0*j = 2*h + 3*j - 28. Let w(i) = i + 4. Let g(f) = -1. Let k(z) = 18*g(z) + 4*w(z). What are the prime factors of k(h)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 6*u**3 + 7 + (-u**2 - 2*u + 2*u)*(-2*u + 4*u + u) + 3 - 3 - u**3 to the form y*u**3 + o + z*u**2 + t*u and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23096431 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -5) + 32 + -41?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**4\/12 - t**3\/3 + 16*t**2 + 2. Suppose 35 + 9 = 4*o. Let x(a) = 10*a - 11. Give o*r(z) - 2*x(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 8:06 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 1 + 7 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 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: Is 1875611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5.15, 1, 4, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9\/5 - 8\/10)*859.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:05 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2022 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3392 + 0*n**2 + 14*n**2 - 1631 - 1543.\nAnswer: 14*n**2 + 218","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*1*(-37)\/(-185)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1*0\/(-1 - 3). Suppose m + 0 = -3*f. Which is bigger: f or -2\/171?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 576 divide 2564928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.36 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**2 - 45*s - 222. Calculate f(13).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 26*x + 39. Let d be y(-16). Which is greater: d or -59?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-9 - 2 - 3) - -7 - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/8 - (-306)\/8 is divided by (-20)\/60 - (-160)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -140, 2 in descending order.\nAnswer: 2, -5, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -10*p + 8*p + 5*p - p**2 + 1. Calculate a(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/((-1)\/(-4)). Let r be -1*y\/(-2) + 1. Let h(s) = -2*s + s + r*s. Let k(l) = -l**2. Give k(h(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**6\/90 + j**5\/15 + 8*j**3\/3 - 4. Let m(d) be the third derivative of v(d). Find the second derivative of m(o) wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 = -5*w, 0 = 2*t - 2*w + 4. Suppose 4*f = 5*l + 30, 3*f - 6*f = 0. Let g be (t\/(-9))\/((-2)\/l). Let u(o) = 4*o**2 + 2*o - 1. Calculate u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4 - -31. Let b = u + -23.78. What is b rounded to 1 decimal place?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/60 - 5*x**4\/24 + x**3\/3 + 3*x**2. Let b be m(-5). Suppose u + 5 = 20. Solve b*l + l = -u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/52 and -5\/4637064.\nAnswer: 60281832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1659*o*x + 3487202*o - x**2 - 16*x with respect to x.\nAnswer: -1659*o - 2*x - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1014\/(-13)*(-378)\/3276\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4280 and 396168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/5, -1, -3 in descending order.\nAnswer: -3\/5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 8. Let y be k(-3). Suppose -4*w - 3*i = -i + 42, y*w + 57 = -4*i. Let o be -1*(-3)\/((-9)\/2). Does o = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*(0 + (sqrt(539) + 0)*-6) - ((sqrt(539) + -1*sqrt(539))*-4*-2 + -1)))**2.\nAnswer: 3024*sqrt(11) + 698580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i. Let p(r) = 52*r + 26. Let l(t) = -12 + 0 - 13*t - 1 + 1 + 6. Let d(v) = -9*l(v) - 2*p(v). Determine o(d(a)).\nAnswer: -26*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/50086 and 7\/237116.\nAnswer: 18732164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 29*g**2 + 9 - g**2.\nAnswer: 28*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 85*g + 74*g + 12 + 15 - 306*g + 96*g.\nAnswer: -51*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*l**3*n**2 + 46*l**3 - 2*l**2*n + n**4 wrt n.\nAnswer: -38*l**3 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161172*p - 161172*p + 3*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 13*k**3 + 37*k**2\/2 + 11. What is the second derivative of v(y) wrt y?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 134 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -259 + 265. Let d be 15\/g*52\/(-195). Which is the nearest to -0.4? (a) d (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/9*(54\/45)\/(11\/(-55)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let f(q) = 3*q. Let r be f(l). Let x = r + -1. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(175307 + 355*v - 175307)*(0 - 1 - 1)*(-3*v**4 + 4*v**4 + v**4).\nAnswer: 1420*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4 (c) -1\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 6*y**2 + y - 2. Suppose -2 = -h - 2*f, -3*h - 15 = -4*f - 41. Calculate the least common multiple of o(h) and 58.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 23*l**2 - 25*l**2 + 46*l**2.\nAnswer: -2*l**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 576*h**2 + 1177\/6*h**4 + 464*h**3 + 203\/5*h**5 - 4 + 49\/15*h**6 + 10*h. Factor b(m).\nAnswer: 2*(m + 3)**2*(7*m + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2411494 is divided by 139.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(17\/5)*d**(3\/22)\/d*d*d*d**(-4\/5)*d**(-1))**33 assuming d is positive.\nAnswer: d**(903\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t + 26*t + 208 = 0. What is the remainder when 152 is divided by t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(17 + 14 + 0 + (0 - 5 + 4)*(0 - 3 + 2))*(0*g - 2 - 1 + 4*g).\nAnswer: -128*g + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7202, -23718, -49534, -84650, -129066, -182782, -245798?\nAnswer: -318114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10076 - 10075. Which is the second biggest value? (a) r (b) -3.06 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, i: 6, x: 3, u: 3, b: 1}. Give prob of sequence xii.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1633684542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 101 = 5*k + 76, 0 = p - 4*k + 13. Put -3, 18, p, 3, 4 in increasing order.\nAnswer: p, -3, 3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 2. Let d be y(3). Let x = -0.1 + -0.1. Which is the nearest to d? (a) x (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55918243397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 27810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14254 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58552505 and 3630?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1596 - -0.159598975. What is x rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1724315775 divided by 344863155.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:34 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - i - 58 = i, -5*p + 50 = 5*i. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.477 * 4.\nAnswer: -17.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 105\/(-15)*(-864)\/189\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/432 - (-104)\/3712 - 0.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a minute in milliseconds?\nAnswer: 33750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36870692.\nAnswer: 2, 9217673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -2\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 53*j**3\/6 + j**2\/2 + 94*j + 11. Let s(p) = 15*p**2 - 1. Give u(s(d)).\nAnswer: 795*d**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7070.589 rounded to the nearest 100?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540058*z**2 + 1080112*z**2 - 540054*z**2 + 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4 = 4*p, 4*p + 226516 = s + 226535 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = -2*c, -3 = c - a + 2*a. Let n = -12 - -12. What is the closest to c in -0.2, -2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 654, 659, 676, 711, 770, 859?\n\"Answer: h**3 - 2*h + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 479404.3 decades?\nAnswer: 4794.043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -1)*(10 - 81\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + (sqrt(363) + 2 - sqrt(363)))*-4 + sqrt(363) + sqrt(363) + -4 + 2 + sqrt(363) - (6*(sqrt(363) - -6*(1 + sqrt(363))) + 2))**2.\nAnswer: 45408*sqrt(3) + 673491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 32. Let m = j + -19. Let p = m - -7. What is the least common multiple of p and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 86, 357, 804, 1427, 2226, 3201, 4352?\n\"Answer: 88*j**2 + 7*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7347.114 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) + 287\/2. Let x = v + -67. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8079752cm to meters.\nAnswer: 0.008079752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*12\/(-8) + 8. Put 3, -3, l, -5 in descending order.\nAnswer: l, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728 a factor of 13514688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.8 and 3518914 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxa when four letters picked without replacement from lafxxxxxxlulauauxu?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a = -5*b + 25*a + 60004, 35992 = 3*b + 4*a. What is b rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1417.892 decades to millennia.\nAnswer: 14.17892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -176 - -56. What is the smallest common multiple of 6 and (4\/6)\/((-16)\/m)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 532257*b**5\/20 + 14732*b**4 - 994*b**3 + 24*b**2 + 4827*b. Find u such that g(u) = 0.\nAnswer: -4\/11, 2\/127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1946 - -1949. Let g = 5 + -8. What is the smallest value in -0.4, j, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 15*n - 15*n)*(-2*n + 5*n - 2*n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y + 65. Calculate the remainder when y is divided by 2 - (-22 + 4 + -2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15282 and 1728?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 63*r**2 + 24*r - 67. Calculate the least common multiple of d(3) and 33.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -5\/12*w**4 + 0*w + 2 - 2\/3*w**2 + 16\/9*w**3 - 5\/3*w**5. Factor t(j).\nAnswer: -j*(j + 1)*(5*j - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let l(w) be the first derivative of 0*w**2 + 2 + 2\/3*w**3 + 0*w. Calculate l(h(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 22 = -3*f + 4*s, 2*s = 3*f + 4. Suppose -3*z + 26 = 5*u - 103, f*z - 5*u = 61. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 109 + -36?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 - 0)\/(-4 - -3). Suppose -2*d - 2 + f = -h, h - 19 = -3*d. Factor -2 + h + 0 - 2*l**2 + 2*l - 2*l**3.\nAnswer: -2*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/((-325)\/2320)*-10. What are the prime factors of (250\/(-40) + 7)\/((-2)\/q)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**4\/4 - c**3 - 2*c**2 + 2. Let h be (-116)\/(-36) + 8\/(-36). Give d(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10649819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 + 5*q - 7. Let t be p(-6). Let o = t + -99. Find the common denominator of (-757)\/(-36) - o\/(-198) and 13\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -204*v**4 + 152*v**2 - 3431*v - 5 wrt v?\nAnswer: -2448*v**2 + 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, -0.4, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68)*5 - sqrt(68))\/(-2*sqrt(256) + sqrt(4)) + 4.\nAnswer: -4*sqrt(17)\/15 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 2*n**2 - 3*n - 2. Let m(y) = -1 + 0*y**2 + y**2 - 3*y**2 + y. Let r be m(1). Let a be s(r). What is the biggest value in a, 1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -384 + 559. Let p = 175.5 - b. Sort 1, 3, p, -3 in descending order.\nAnswer: 3, 1, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:09 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 589 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**2. Let d(g) = -36*g**2. Let x(t) = -4*d(t) - 21*h(t). Suppose -2*j - 8 = 2*w, 4*w + 2*j = 4*j + 14. Let q(o) = w - 1 - o. Determine x(q(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -298d + -4?\nAnswer: -2992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 56 = 44 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 s when three letters picked without replacement from {s: 2, q: 3, z: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2126522 to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 963165 - 0.137.\nAnswer: 963164.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 0.9, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5777*v**2 + 2633*v**2 + 3104*v**2.\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*s = -0*u - 17, -5*u + s = 11. Let q be 106\/3 + 1\/u. Suppose 2*f + q = 7*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 1888.\nAnswer: 20768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 32.313983.\nAnswer: 30.313983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q + 0*q**2 - 2*q**2 - 4*q**2 + 0*q**2 wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 10) to base 2\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 10:55 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 6*w - 2. Let t be c(-6). Let z be -4*(3 - (-7)\/t). Find the third derivative of 0*l**2 + 3*l**z - 3*l**6 + l**2 wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-230)\/(-45) - (2 - 34\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -90*b. Let x(f) be the third derivative of 0*f**3 + 0*f**4 + 0 + 0*f + 1\/30*f**5 - 109*f**2. What is x(t(v))?\nAnswer: 16200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from ukxjbba?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 9*i**2 + 5*i - 12. Let t be f(8). Let x be (t\/15)\/((-66)\/40). Let r = x - 75\/44. What is the biggest value in -3, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 116 + 203. Let o = 144\/5 - t. Is o at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9534969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1894*c = -1789*c + 3063 + 87 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2827 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 + 152. Solve -2*g + o*g - 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831276927.\nAnswer: 3, 13, 41, 173291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, q: 1, d: 1, h: 2, p: 3, n: 1}. Give prob of sequence dyhp.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 10) + 41 + (-23 - -10).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2917 - 2784. What is the greatest common divisor of 1102 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6895 and 1025976.\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 259305 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4440051 (base 6) to base 10.\nAnswer: 222943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 35 = -0*g. Let t = -1 - g. Find the third derivative of h**5 + 2*h**t + h**6 - h**2 - h**5 wrt h.\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 12*y = l + 10, -8 = 4*y + 5*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - s + 0*s - s. Let t = 6 + -5. Determine i(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216928925?\nAnswer: 5, 17, 113, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 29 + (794 - 789).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1517)\/(-1066) + ((-5)\/2 - -1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3136*y**2 - 12*y**3 + 3142*y**2 + 7*y + 16*y**3 as t*y**2 + u + o*y**3 + q*y and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 391\/(-437) - (-3 - -2).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 22782*i - 320. Determine j(0).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17201, 17235, 17271, 17309, 17349?\nAnswer: 17391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -0.1, -3\/8, 16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 9 = -0. Let h be (-4 - (-57)\/15)\/(c\/5). Solve 0 = -s - h, 0*f + 3*f = 2*s + 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p - 4929 + 4929.\nAnswer: -34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -44543 <= -44543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(23\/2)*(g\/(g\/(g\/g**(-8))))\/g)**(-13))**(-3\/4) assuming g is positive.\nAnswer: g**(1521\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8 = s + 4*p, 4*p - 12 = 0. Solve 0 = 4*y - 6 + s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/20 + 68\/170?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 191, -3, 0.1 in decreasing order.\nAnswer: 191, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/32)\/((-4250)\/(-34000))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 43*n**3 + 80*n**3 - 41*n**3 to the form c*n**2 + f*n + h*n**3 + z and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259 + 4*y**3 - 2*y - 259 - 36*y + 8*y**3.\nAnswer: 12*y**3 - 38*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -203, -0.5, -2982, -0.3, -3\/2, -2?\nAnswer: -2982","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*t - 1 + 1 - t + 3*t - 2*t - 2*t + (-t + 2*t - 2*t)*(2 + 3 - 3) - 3*t - 3*t + 5*t + 0 + 0 + t)*(10165*t - 10165*t + 50*t**2).\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 8*g - 6. Let y = -5 - -10. Suppose -36 = -4*d - 2*u, -2*d + 30 = -2*u - 0*u. Calculate the lowest common multiple of p(y) and d.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2857 = -0*r + 5*r, 3*b - 8571 = -5*r. Suppose 6*k - b = 245. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-18) + 6\/(-9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/5, 2, 0.3, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.8 + -8. Let l = y - 8.9. What is l rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -80, -77, -74, -71, -68?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 4 - 2)*(1 + 2 - 1) - 7 + 2 - 13 - 1 + 4 - 1)*(-1 + 2*y + 1) as k*y + d and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*f - 30. Solve f*i = i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 - 59*z**2 - 169*z + 116. Determine h(32).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*t + 4 - 2 in the form k + g*t and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 74*g**2 + 2*g - 18*g**2.\nAnswer: -92*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**10)\/r**(4\/25))\/(r**3*r*((r\/((((r*r**(-2\/33)*r)\/r)\/r)\/r))\/r)\/r) assuming r is positive.\nAnswer: r**(6418\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1034*o**2 + o**3 + 20 + 12*o + 2060*o**2 - 1051*o**2 - 2*o**3 - 13*o in the form i*o + u*o**2 + p + h*o**3 and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4*d - 15 = 0. Suppose 2*f + 5*b = b + 18, 4*f - 10 = d*b. Let n(z) = 38 - 16 - 15 - z. What is n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.0557?\nAnswer: 0.2785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, p: 7}. What is prob of picking 2 p and 1 v?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 4*i**2 - i - 10. Give c(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 10. Suppose 3*f + n*f - 919 = -4*y, 2*y = 5*f - 943. Let z(w) = 3*w**2 + w + 7. Let d be z(-2). Calculate the greatest common factor of d and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 542 divided by 2.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:02 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - ((-36)\/(-20))\/(-3)*5. Sort 1\/5, -2\/9, -5, t in descending order.\nAnswer: 1\/5, -2\/9, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1101254 = -1298746. What is l rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*u - 180, 0 = -4*u + 3*i + i + 136. Let g = -35 + u. Solve g = -0*v + v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 368, -163, -708, -1273, -1864, -2487, -3148, -3853?\n\"Answer: -l**3 - l**2 - 521*l + 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-20)*-35 + 5. Suppose 13*l = m*l - 2124. What are the prime factors of l?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.8684 microseconds in milliseconds?\nAnswer: 0.0768684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*4)\/(2 + -3). Put b, 5, -3, 2 in increasing order.\nAnswer: b, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913440 to the power of 1\/2, to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 5, 2\/7, -14.15, -0.3, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6497327*a + 71470604. Give u(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 4.9 (c) 0.16 (d) -2.4 (e) 1.6 (f) 1.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1229058 bigger than -1229050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 less than 37969.9825?\nAnswer: 37743.9825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31\/42 + -15\/14. Let h = -587 + 540. Sort q, 1, -4, h.\nAnswer: h, -4, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000520715 rounded to 7 dps?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 328, -1, -62, 1, -3 in decreasing order.\nAnswer: 328, 3, 1, -1, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 2.66267 minus 5?\nAnswer: -2.33733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 8:11 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1287 by -1.\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 10, g: 3, f: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m + 2. Let t(d) = -d - 1. Let j(x) = -b(x) - 3*t(x). Let o be j(-3). Suppose o*n - 2191 - 609 = 0. What is n rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 136, 492, 838, 1168, 1476, 1756, 2002?\n\"Answer: -n**3 + n**2 + 360*n - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 17*v**2 + 8*v - 26. Let k be x(-18). Let a = 158 - k. Solve -a = -6*i + 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*b - 6*b + 182, 0 = 2*h + b + 179. Let u = -96 - h. Let l be (7\/(-2) + (-3 - u))*-22. What is the greatest common divisor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -2.1. Let o be (-2)\/(-5) - 8\/(-5). Let j = -3.2 - -0.2. What is the nearest to o in j, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 195\/(-225) - (-3 - -2)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -1 + 5. Let w be 6\/2*-10 + t. Let s = 52 + w. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1954 + 1979. Calculate the remainder when 181 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-66)\/(-9)*15*(-36)\/(-30). Suppose s*g + 304 = 133*g. What is g rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214 + -103. List the prime factors of r.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 4541*p**2 - 86*p**3 + 4541*p**2 + 2*p to y + c*p**2 + w*p + x*p**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.27484*4.\nAnswer: -5.09936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r*r\/(r\/r**(-1\/7)*r)*r)\/r)\/r)\/r**(-2\/9))**(1\/24)*(r**0)**37*(r**(-1\/2)\/r)**(1\/74) assuming r is positive.\nAnswer: r**(-949\/55944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + 5*(sqrt(39)\/sqrt(3))**2 + (sqrt(13) + sqrt(1573)*-1 + sqrt(13))**2.\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 548070414103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 + -5.6. Let g = j + 2.7. What is the third smallest value in g, -2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-68)\/306 + (-11)\/(-9). Solve -5*y - 2*x + l = -8, -y = 2*x + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -305*l**5 + 2*l**2 - 906 wrt l.\nAnswer: -18300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1287 - 6075 = 0. What are the prime factors of y?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -91\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -3*o**5\/20 + o**4\/12 - o**3\/6 + o**2 + 33*o + 4. Let l(k) = -k**3 - k + 1. What is -2*l(r) + u(r)?\nAnswer: -r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3\/2 - 1273*b**2\/2 + 3833*b - 5116 = 0.\nAnswer: -1279, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 9. Let h be j(-6). Does 2 divide (1 - (-7 + 1)) + h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 2*y = 13*p + 6*y - 72, -2*p - 4*y = 4*y - 4 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 920 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 17*b**3\/12 + 137*b**2\/4 + 8*b + 2276. Solve f(g) = 0.\nAnswer: -16, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*u + 511 + 264 = -103*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -15*q**2 + 5*q - 5. Let u(b) = -30*b**2 + 9*b - 9. Determine -9*h(y) + 5*u(y).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20102085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -3130?\nAnswer: -1\/3130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*i*o + 116*i - 1478*o + 135 wrt o.\nAnswer: -13*i - 1478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrnzccrrlncnnnzncn. Give prob of sequence lcnc.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 23 - 60 = -7*z + 3*d, -43*z + 716 = 3*d for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tffwtwwtfett. Give prob of picking 1 t and 1 e.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyvhyyn. Give prob of picking 2 y and 1 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4\/3 - 24*t**3 - 156*t**2 - 432*t - 432.\nAnswer: -4*(t + 3)**2*(t + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -3. Let p be q\/(2 - (-30)\/(-4)). Suppose -v = -0 + 1. Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**8\/90720 + 11*f**7\/11340 + 121*f**6\/3240 - f**5\/4 + 14*f**2. Let j(i) be the third derivative of q(i). Factor j(g).\nAnswer: 2*(g + 11)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -92276972, -92276974, -92276976, -92276978, -92276980, -92276982?\n\"Answer: -2*y - 92276970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2270*d - 52 = -2272*d. Suppose -27*c = -d*c. Solve 5*q - p = -c*p, 4*q = 5*p + 21 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3563*c - 3553*c - 276470 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 30*l - 5. Let s be g(-30). Let y(u) = u**3 + 6*u**2 - 6. Give y(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51557259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*g - 4*z, 0 - 5 = -g + 5*z. What is the highest common factor of 480 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -8, -45, -116, -227, -384, -593, -860?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 38 + -7 - 64) + -8.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5\/2 - 3*l**4\/2 - 5*l**3\/2 + 3*l**2\/2 + 2*l = 0. Calculate l.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1\/6, 0.07, -0.01, -1\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5\/21, -5, 3\/7, 2, -163, 54?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(2\/8). Let l be (-5 - -8)\/((-3)\/v). Let i be ((-60)\/(-50))\/(l\/5). Solve 4*o - 3*h + 22 = 0, 2*o + 0*h = -i*h - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let o(v) = -6*v - 10 + 23 + 4*v**2 + 13. Let u(a) = -a**2 + a + 1. Let r(w) = -o(w) - 6*u(w). What is n(r(i))?\nAnswer: 2*i**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*3 + (-5)\/(95\/38). Is -4\/163 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -10*u + 40. Let y be c(3). Suppose -3*t = 5*n - 67, -8*t + 36 = 4*n - y*t. Solve 5*j = -n - 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, h: 2}. Give prob of sequence mhh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328, 676, 1034, 1408, 1804, 2228, 2686?\nAnswer: 3184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (0 - -1) + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 4852 - 4810 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 35*(-1768)\/(-14560) + (-171)\/(-4)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nynvyvnsnnvdnddnvb. What is prob of sequence dnn?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-73)\/1022 - (-2)\/4. Which is the closest to 25? (a) w (b) 2\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1)*2*7\/(-126).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/9, 3\/4, -4, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-7)*3*(-4)\/(-18)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 2 = 19*o. Let h(b) = 7*b + b**3 + 2*b**o + 6*b**2 - 5*b - 2 + 4*b. Give h(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*l + 1260 = 57*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 9 (b) 98760 (c) 2 (d) -0.5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 6:58 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4\/2 + 21*p**3 - 147*p**2\/2 = 0. What is p?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1653 - -4274. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501 - 252 - 18496*u**3 - 250 + 18581*u**3.\nAnswer: 85*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29282 - -5358647\/183. Find the common denominator of 73\/27 and g.\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 17 = -242. Let x = 226\/3 - c. Sort -3, 5, x in increasing order.\nAnswer: -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4 = -2*t, 0 = -2*i + 5*t + 143 - 133 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 - 16*m**2 + 8*m + 32. Give r(6).\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 5, j: 2, x: 4, l: 2}. Give prob of sequence ljdd.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -1\/120*q**6 + 2\/15*q**5 + 0*q + 1\/24*q**4 - 1\/2*q**3 + 0 - 16*q**2. Give n(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1.76, -1\/5, -4 in decreasing order.\nAnswer: 1.76, -1\/5, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l = -4*l. Solve l*c - 12 = -4*c, 5*c - 19 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-90)*(-6)\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 6*t - 72. Let u(l) = l + 6. What is u(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2489 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16117 + 1664 = -633*h - 576 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/36)\/(8\/6)*4. Let d be (-2)\/12 + -2 + 0. Which is smaller: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13310 + 3031?\nAnswer: 20341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 81764789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 40 + 42. Let s(d) be the third derivative of -1\/6*d**3 - 2*d**a + 0 + 5\/24*d**4 + 0*d. Differentiate s(o) wrt o.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 f, and 1 j when three letters picked without replacement from {j: 9, n: 8, f: 1, t: 1}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/252 + 2\/(-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 7*f**2 - 5*f - 3. Let a be y(6). Suppose -3993324 - 20906676 = -a*v. What is v rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*i = 6*y - 13, -2*y - 4*i - 2 = 0. Let o(s) = s**2 - 6*s + 5. Let x be o(y). Suppose -3*j - 2*c = -917, j - 2*c - c - 313 = x. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2474079 + 0.5\nAnswer: -2474078.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132203 - -11?\nAnswer: -132132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2040 divided by -204\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244602 is divided by 122208.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -31\/195 + 1\/39. Let k = -4 - 0. Let c = -6 - k. Sort u, -4, c in ascending order.\nAnswer: -4, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 10*o - 25. What is p(-6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -9, -21, -49, -99?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*w + 1648, -2*w - p + 660 = -0*w. Let n = w - 147. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 14549, 14559, 14581, 14621, 14685, 14779, 14909, 15081?\nAnswer: 15301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19947?\nAnswer: 3, 61, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 10. Let r be w(7). Suppose 0 = -2*t + 2*c, 3*t - 4*c = -7*c. Suppose t = -r*v + v - 4*g, -4*v = -3*g. Solve v = -0*l + 2*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5357960 is divided by 2571.\nAnswer: 2567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = -3*a, -8 = -u + 3*u + 4*a. Solve u = -3*g + g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/5712 and -83\/1632.\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-15))\/((-1)\/(-9)). Which is the nearest to 0? (a) -0.1 (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(78) - sqrt(78)*-2) + (sqrt(78) - (sqrt(78) + sqrt(78)*2))*-1)\/((sqrt(330)\/(1*sqrt(11)))\/sqrt(5)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 4. Let n(k) = -32*k - 10 + 66*k - 32*k. Give 5*n(f) - 12*s(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/(-2) - 1*(-23964)\/24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.6 + 0.6. Suppose 8 = -5*u - 2. Let g(j) = 2*j**2 + 3*j + 3. Let z be g(u). Sort z, 0.1, b in increasing order.\nAnswer: b, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 898\/6286*3*1\/(-1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2026122834 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1102 - 13101233?\nAnswer: -13100131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + b**2 + b + 2. Let t(s) = 11*s**3 - s**2 - s + 14. Let j(g) = 4*i(g) + 4*t(g). Differentiate j(d) with respect to d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 933915.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -27. Is g at least 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - t**2 - 3*t - 3. Let x be f(-2). Let r be 5456\/64 - (0 + 15\/12). Calculate the highest common divisor of r and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004461935 rounded to six dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -675667*r**2 + 16*r - 7265?\nAnswer: -1351334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8*4)\/(59285\/(-3340))?\nAnswer: 4\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -y - 55, 662 + 656 = 5*o - 14*y + 1402 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2026219.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -120 - 530. Suppose 0 = j + 4*j - n. Calculate the remainder when 51 is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0287176 take away -0.20371675?\nAnswer: 0.23243435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 7*i = -72 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/(9\/456). Let a = -37 - i. Suppose -k = 3*s - 37, -s - 42 = -5*s - 5*k. What is the highest common divisor of a and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30166 - -1?\nAnswer: 30167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-15) + 11\/5. Let l be (1 - -1)*s\/(-1). Let z(q) = 3*q - 3. Let p(j) = j - 1. Give l*z(h) + 14*p(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42692831*d**5 - 4*d**4 - 3627*d**2 + 7905?\nAnswer: 2561569860*d**2 - 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 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: Find the common denominator of -73\/106527804 and 19\/40.\nAnswer: 1065278040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -2\/7 (c) -3.6 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**3 - a. Let k be s(1). Let v be k\/2 + 0 - 3. Sort -3, 2, v.\nAnswer: -3, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - 4*p + p)*(197*p + 170*p + 2 - 443*p)*(2 + 3 - 4) to y + c*p**2 + f*p and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6*t = 160. Let o = t + -17. Solve 0 - 9 = -o*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hubfhhbchhbfiuu. What is prob of picking 2 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8938 is divided by 1041?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4287837548, 4287837549, 4287837550, 4287837551?\n\"Answer: y + 4287837547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 + -151. Calculate the lowest common multiple of (48\/20)\/(1\/5) and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -743168 less than -743159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2. Let m(t) = 8*t**2 + 2*t + 1. Let v be m(-1). Let a(o) = 0 + 0 + v*o**2 - 13*o**2. Calculate w(a(p)).\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**7\/2100 - s**6\/225 - s**5\/300 + s**4\/15 + 5*s**3\/2 - 6*s**2 + 3*s. Let m(a) be the first derivative of k(a). Factor m(n).\nAnswer: 2*(n - 4)*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 165 = -5*r + 2*r, 3*r = -5*y + 275. Calculate the greatest common factor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/480 and -55\/32.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 468 - 465. What is the second derivative of 176*h**3 + 219*h - 316*h - 49*h**r wrt h?\nAnswer: 762*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1832 divided by -4\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/4*6\/3. Let o = y - -25. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*i**4 + 25*i**3 - 53*i**4 - 2*i**2 - 51*i**4 + 2*i + i**2 as d*i**4 + r*i**3 + z + o*i**2 + l*i and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 - -16.13. Let m = s + -31. Let c = -15.0000044 - m. What is c rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-3\/8)\/c))**10*(c*c**13)\/((c\/c**(-3\/2))\/c) assuming c is positive.\nAnswer: c**(145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-1 + sqrt(104) - sqrt(104))*5)\/((sqrt(1152) - sqrt(1152)*-2) + sqrt(1152)).\nAnswer: -5*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - c - 1)*(75 - 229 + 86) + 3*c + 3*c - 5*c to the form d + k*c and give k.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 12:26 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**5 - 3*z**5 - 2*z**5 + (-2 - z**4 + 2)*(-3*z + z + 0*z) - 7 + z**5 + 19 - 121.\nAnswer: 2*z**5 - 109","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 - 97. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158 - -152. Is 3\/s - (-97965)\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20935? (a) 0 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 6. Suppose -t = -5*j + 31. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 3)*1\/10.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 9. Let d be x(11). What is the hundreds digit of (95\/(-2))\/(11\/6 - d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*o - 57*o - 76 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-132))\/((-3)\/30*(-2)\/8). Is m > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*v + 3*v. Suppose -v = r - 4. Suppose 2*c - 5*y + 18 = 0, -71*c + 74*c - 4*y + 13 = 0. Solve -r*t = 7 + c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9579 (base 15) to base 12.\nAnswer: 16366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -818, -2670, -5640, -9722, -14910, -21198, -28580?\nAnswer: -37050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22141 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)*v**5*v*v**(-6)\/((v**(-1\/5)*v)\/v) assuming v is positive.\nAnswer: v**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 626\/(-42) - 10\/105. Let n be 561\/o + -1 - 18\/30. Is n less than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 83 (b) 5 (c) -2\/11 (d) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snvsanl. Give prob of sequence sal.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-2)*4\/(-6). Let n be (1 - 1) + 12458\/i. Let u = 1547 + n. Calculate the common denominator of 57\/8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26469871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 28 = -2*p. Let d = 81 + -73. Find the second derivative of -5 + d*f**2 - p*f + 5 + 17*f wrt f.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(8\/(-2))*(-6216)\/444.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 420.2 + -420. Which is the nearest to z? (a) 7 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1985, -3959, -5933?\n\"Answer: -1974*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2952*t - 2949*t + 2*o, 6 = -o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzzzzzddzdddzdzzddzz. Give prob of picking 2 d and 2 z.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = 0, -4*p - 4*u - 3 + 7 = 0. Solve -p*h = -h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most -1513877935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 9*a**2 - a - 1. Let m = 40 - 41. Let n be q(m). Put 2, 4, n in increasing order.\nAnswer: 2, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u + 18*u - 821 = 136 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/6*(-2)\/8)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5047 + 10212. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4)*r)**(-3\/14)*r**(-1)*((r\/(r\/r**(4\/3)*r))\/r)\/r assuming r is positive.\nAnswer: r**(-493\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 18830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -19. Let l be 1\/4 - (-118)\/n. Suppose 0*x = 5*x - l. Let q(r) = -3*r + 3. Calculate q(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - 55. Suppose -17*s + 12 = -c*s. Solve k + s*v + 24 = -4*k, -4 = 2*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/(w*w**(-28)\/w))\/(w\/(w\/(w**(-1\/2)\/w))))**(-1\/65) assuming w is positive.\nAnswer: 1\/sqrt(w)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3009\/8 + -371. What is the common denominator of 37\/3528 and w?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10558678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/190774 and -157\/93479260.\nAnswer: 93479260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10)*-5 + -5 + 13. Solve -2*i + s = 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5603\/7 + 799. Find the common denominator of w and -11\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 - 19*n + 60. Let q(t) = -t**2 + t - 1. Let l(y) = o(y) + 2*q(y). Calculate the smallest common multiple of 72 and l(14).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -48 - (8 + (-2 - -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 22171 = 2*d - 2*m, m = -2*d + 14783. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2579364*m - 2269055 wrt m.\nAnswer: 2579364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5418693m?\nAnswer: 541.8693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.76 + 33.76. Let c(f) = -2*f**3 + 2*f + 1. Let b be c(-1). What is the nearest to d in -4, -3.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Let p = 143 - 142.8. Which is the closest to 1? (a) p (b) 1\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 12*l**2 - 24*l + 16. Determine t(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l + 137 = -79 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14711253038 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13 - -1)*594\/21. Suppose 4*c = -3*b + 22 + u, 5*c - 528 = -b. Suppose -c = -4*k - 10. What is the greatest common divisor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -75.\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/36)\/((-51)\/(-9)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x - 18*x = -16. Do -4\/187 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 l when four letters picked without replacement from llulullllulull.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 58 = -t + 44, 0 = 5*t + 2*n - 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6726\/29815 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 514.74?\nAnswer: -205.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 272719 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-304))\/((-25)\/(-10)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -156.35 and 301.\nAnswer: -47061.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 746 + 1665 = 112*b - 1285 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 14 = 2*s. Suppose 25 = -4*v - 3*n - 4, 5*v + 37 = -4*n. Put s, 3, -4, v in decreasing order.\nAnswer: 3, -4, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1433*i - 402 + 404 - 853*i.\nAnswer: 580*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14132 (base 8) in base 7?\nAnswer: -24114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 29991 = -15677 - 20896. What is the lowest common multiple of 20 and q?\nAnswer: 36980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 599 = f - 5*w, 0 = -3*f - 3*w - w + 1778. Let k = 1140 - 749. Let p = f - k. What is p rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24312, -48623, -72934, -97245, -121556?\nAnswer: -145867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + i = 326, -756*m - 3*i + 168 = -754*m. Calculate the remainder when m is divided by 59.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 2*h - 8, -269*h - 5*x = -264*h - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62120 (base 9) in base 15?\nAnswer: c1d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4 + 3 + 5 + c. Let q = -2 - -5. Let o(j) = 2*j + 5. Calculate q*y(s) - 2*o(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 7. Suppose 0 = 3*g - 3*l - 2 - 4, 3*g + 5*l - 30 = 0. What are the prime factors of t(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2. Let u(b) = 4*b. Let d(y) = 57 - 16*y - 57. Let f(c) = 6*d(c) + 26*u(c). Give o(f(i)).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5223893, -5223882, -5223863, -5223836?\n\"Answer: 4*w**2 - w - 5223896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 281382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10092 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:46 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7532871 is divided by 7532861.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 5*s**2 + 4*s + 4. What is q(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 284930 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 13*d**2 - 15*d + 22. Let f be k(14). Let i be (90\/f)\/((-6)\/4). Which is greater: -9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l + 1. Suppose -4*z + 20 = 0, 5*p + 0*p = 3*z - 10. Let n be k(p). Let m(y) be the first derivative of y**3\/3 - 2*y**2 - 2*y - 1. Determine m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-60))\/((-8)\/15*27\/(-9))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:44 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(2\/3)\/t)*t**(2\/7))**(-11\/7)*((t**(-2\/5))**(-2\/9))**(19\/4) assuming t is positive.\nAnswer: t**(-4679\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21.7*50436\nAnswer: 1094461.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 457*z + 229. Determine n(-2).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((4*sqrt(63))\/sqrt(7) + sqrt(9) + sqrt(81)*1)\/(-3*(-2*sqrt(75)*-2 - sqrt(75))))**2.\nAnswer: 64\/675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8757 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 79 - 13 = 26. Solve 4*h = 7*o - 3*o, 4*o + p*h = 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -19*-1*(30 - -11). Solve -782*s - 18 = -t*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**3 + 2*q**3 - q**3)*((0*q + 6 + 3*q - 5*q)*(-1 + 2 + 2) - 2*q + 0*q - 2*q) to the form w*q**2 + x*q + j + o*q**4 + h*q**3 and give h.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -15. What is the second smallest value in 0.3, i, -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1868*w**3 - 2921*w**3 - 42 - 423 wrt w.\nAnswer: -3159*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -65*u**2 - 205. Let p(z) = 83*z. Calculate p(g(s)).\nAnswer: -5395*s**2 - 17015","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 + 33*p - 66. Let h be z(13). Solve -8*b + 4*b - h = 5*q, -5*q = -3*b - 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -226 - -256. Let q be 17\/2*(-45)\/z*-4. Let t(m) = -16*m + 2. Let y be t(-3). Which is bigger: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 5*t + 239, -4*t - 5*s - 96 = 241 - 45 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4240\/19 or 224?\nAnswer: 4240\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29515513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55146131.\nAnswer: 55146131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 133*p + 13*p**2 + 456*p - 9*p**2 + 411 + 3985 + 2228 wrt p.\nAnswer: 8*p + 589","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12852 and 44037?\nAnswer: 2994516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 + -71 + (-129 - -273).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18469870*f**2 - 117268994?\nAnswer: 36939740*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 + 17*r**2 + 12*r + 60. Determine a(-11).\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3 + 327*n**2 - 1296*n + 1292 = 0 for n.\nAnswer: 2, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13958 + -3908. List the prime factors of g.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:52 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.5 + 24. Which is the biggest value? (a) -2\/9 (b) -2\/13 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**4 + q**3 - 3*q**2 - q. Let m(j) = -3*j**4 + 3*j**2. Let u = 34 + -29. Let b be -3 + (u\/(-5))\/((-2)\/14). Let z(f) = b*m(f) + 3*s(f). Factor z(x).\nAnswer: -3*x*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from {u: 1, a: 1, r: 1, v: 1, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 2, 4\/9, -14745?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, -1\/7.\nAnswer: -1\/7, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0.9, -0.06, -0.4, 1, 4.\nAnswer: -0.4, -1\/8, -0.06, 0.9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 10*r**2 - 13*r**2 + 40*r - 21 + 3. Let p be j(12). Suppose 4*f - 2*o + 3 = 19, f + 4*o = -5. Solve c - k = k - 5, -p = -3*c - f*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4153*a**4\/2 + 8791900*a**3 + 18612445949*a**2\/2 - 4481689*a = 0. What is a?\nAnswer: -2117, 0, 2\/4153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, n: 4, o: 9}. What is prob of picking 1 o and 2 p?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwsgwws. What is prob of sequence ss?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -787.89 and -5.\nAnswer: 3939.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.0774 - 2.7774. Let l = 1 - -1. Let b = l - 0. What is the second smallest value in 0, -1, k, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 948 (b) 1 (c) -8633 (d) 2 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*w - 51*w = 15. Suppose 4 = 5*j - 21, w*m = 2*j + 220. Does 10 divide (479\/2 - 0) + 23\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 523 and 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -1. Let k = -545 - -546. What is the third smallest value in k, f, 3\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 3*a**2 - 2*a + 10. Let l be n(-2). Solve l*t - 3*t + 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6*(-5)\/(-60))\/((-6)\/(-4)). Let m = 3 - 2. What is the nearest to 0 in 0.5, m, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 8:18 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 4061250*o + 4061251.\nAnswer: -(o - 1)*(o + 4061251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2\/7 + 4*g\/7 - 16\/7 = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -619*t - 47340000 = -613*t. Round t to the nearest 100000.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 1632 + 1625 - 23*i**2 - 3257.\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4587, -9635, -15089, -20949, -27215, -33887, -40965?\nAnswer: -48449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 1, -15, -29, -41, -51, -59?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + -0.04. Let v = -18.957 + 18.8870065. Let z = v - w. Round z to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 9:26 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-218)\/(-4) - 55)\/(8\/2).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3537 + 3539.9617. Let m = w - -0.0383. What is the fourth smallest value in -4, m, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32.616 + -34.19292. Let v = k - -1.57. Round v to 4 dps.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 7:28 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1528 and 10.\nAnswer: 7640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times -18.4986\nAnswer: -42.54678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3*z + 6*z)*(0 + 3 - 1)*(1092*z**3 - 37*z**4 - 1092*z**3).\nAnswer: -74*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12943360.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -94699 - (6 - (-11 - -26)). Round j to the nearest one thousand.\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-27) + (-644)\/(-6). Let z = y - 76. Calculate the remainder when z is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41*c**2 - 4652*c - 5095925?\nAnswer: 82*c - 4652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 1 - 12 + 59*o**2 to m*o**2 + i*o + u and give m.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -40*c**2 - 236*c + 40. What is p(-5)?\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, -14, -17, -202.\nAnswer: -202, -17, -14, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + 0.7. Let v = 0.1 - 0.5. Let p = v - -0.6. Which is the second smallest value? (a) n (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 751, 656, 497, 274, -13, -364, -779?\n\"Answer: -32*u**2 + u + 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(6*b - 5*b + 6*b)*((3*b**2 + 0*b**2 - 4*b**2)*(4 - 1 - 1) + 1 - 1 + 3*b**2 + 3*b - 3*b + 6*b**2).\nAnswer: -98*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) + sqrt(720)\/sqrt(10)).\nAnswer: -28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 752.8 rounded to the nearest 10?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 - -125. Suppose -17*a = -k*a + 216. Calculate the remainder when 268 is divided by a.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*k + 159, -k - 418 = -3*g + 89. Let a be ((-3)\/4)\/(2\/(-56)). Calculate the highest common factor of g and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6542741 (base 8) to base 4.\nAnswer: 12230113201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -511 - -538 - (15 - -2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2. Let h be (0 - -2)*(-1 - 0). Let y be (-4 - -3 - 0)*h. Let b(t) = -3*t**2 + 4*t**2 + 3*t**2 - 2*t**y. What is a(b(v))?\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 7.93. Round r to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34839\/(-4) - ((-1)\/(-10) - 285\/(-1900)). Which is bigger: -8709 or o?\nAnswer: -8709","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -3. Let y be (15\/w)\/(1\/(-4)). Suppose -15 = -y*s - 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6\/625, -3\/5, 4?\nAnswer: -6\/625","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-44) + 62\/22. Let k(f) = 2*f**2 + 110*f + 1393. Let u be k(-35). Put y, u, 2 in descending order.\nAnswer: y, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*i = -0*t + 5, -t = i + 10. Let a be 40\/(-14)*t*(2 - 1). Solve -2*u + 6*u = -a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 8. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14835 - 9990. Suppose -8*r + c = 7*r. List the prime factors of r.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3281?\nAnswer: 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 75*l + 3. Let r be u(-25). Which is the second smallest value? (a) 0.1 (b) -12 (c) r (d) -1 (e) -3\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -31. Suppose -63*b = -507 - 1572. Calculate the least common multiple of w and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 448*z**2 + 8556*z - 1635. Calculate d(-428).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2. Suppose 0 = 4*w - 2*w - 5*i - 157, -5*i = -3*w + 223. Let j(c) = 4*c**2 - 19 + w - 20 - 26. Calculate j(a(m)).\nAnswer: 16*m**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 7:25 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -22, -0.3 in ascending order.\nAnswer: -22, -5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*w + 5*j, 2*j - 3 = -4*w + j. Solve -3*y = -w*i, -5*i + 8 + 3 = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(3\/(-5 + 2)). Suppose -4*a = -3*p - 7, -4*a + 4*p + 4 + 8 = c. Calculate the remainder when ((-3)\/4 - a)*4 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**4 - 10*b**3 - 30*b**2 - 14*b + 2. Let r(p) = -4 + 1142*p**4 - p - 1143*p**4 + 3 - p**3. Let a(w) = 2*g(w) + 4*r(w). Factor a(d).\nAnswer: 4*d*(d - 8)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 + -118. Calculate the common denominator of k\/14*19 + 2 and 11\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 381 + -271. Calculate the least common multiple of (-2)\/5 - (-3014)\/i and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8141592?\nAnswer: 2, 3, 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwasl. Give prob of sequence wi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - l + 100. Let a be x(0). Let t(f) = 4 + 36 - f + f**2 + 0*f. Let d be t(0). What is the greatest common divisor of d and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6837, -7033, -7229?\nAnswer: -7425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-119)\/(-35) + 6\/(-15). Let a = 0.1 + -0.1. What is the biggest value in l, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c + 849?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -0.10975?\nAnswer: -0.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15787542 is divided by 335.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2552 divided by -101?\nAnswer: 2552\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, 13793, -1\/4, -3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 172, 201, 206, 175, 96, -43, -254, -549?\n\"Answer: -2*x**3 + 43*x + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.1 + -7.1. Sort 29\/5, i, -0.2.\nAnswer: -0.2, i, 29\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 4*z + 2*z)*(6 - 4 - 1) - 11 + 2*z + 5 + 2.\nAnswer: z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 35?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, 1 y, and 1 a when four letters picked without replacement from zttasyzssxyzzzyyazy?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 3*i**3 - 3*i**3 + i**3)*(-51 - 30 + 618).\nAnswer: 537*i**3 + 1074*i","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -653 - 23?\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -328 divided by 164?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/8)\/((-18)\/8)*-6. Suppose p + a + 8 = -3*c, -2*p + 10 = -c. Solve 5*g - 15 = -5*u, -g - 5*u = -2*u - p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(10*n**3 + n**5 - 10*n**3) + 4*n**5 + 3833 - 3833.\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 + -71. Let v be 84*d\/(2 - 6). Let a(q) = 16*q**2 + 21*q**2 - v*q**2. Let g(l) = l. What is a(g(u))?\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 3 = -c. Let k be (-21)\/(-7) + 2\/2. Let p(q) = 3*q**2 + k*q**2 - q**2 - q**3 - 5*q**2. Let x(y) = -4*y**3 + 5*y**2 + y. Calculate c*x(h) + 5*p(h).\nAnswer: -h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40972 * -0.3.\nAnswer: 12291.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52865.\nAnswer: 5, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 11*j + 62. Let x(q) = q**2 + 6*q - 35. What is 4*p(i) + 7*x(i)?\nAnswer: -i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 306 - 464. Let m = -137 - o. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**0)**(-21)*g*g*g*((g*g*(g\/(g*g**(1\/6)*g))\/g*g)\/g)\/g*g*g**(3\/2)*g*g assuming g is positive.\nAnswer: g**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 37*c - 231 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/5 (b) 4\/37 (c) -3 (d) 0.5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 11*g - 9*g + 9.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175) - -3*sqrt(175) - sqrt(175)) + sqrt(175))\/sqrt(5))\/sqrt(7) + -3*((1 + sqrt(500))**2 - sqrt(500)).\nAnswer: -1503 - 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 335682371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 0)*(k - 3*k + 0*k) + 5 + k - 5)*(-5 + 2 + 0)*(5 - 5 - 6).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 995 + -3502937\nAnswer: -3501942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/5 + 2674*k - 26732\/5 = 0. Calculate k.\nAnswer: 2, 6683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/16 and -21\/38?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 7*n**2 - 6*n + 5. Let q be i(6). Suppose 103493 = q*l - 3*s, -7*l - s = -8*l + 20697. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001858 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -9. Suppose 5*h - 41 = -4*x, 4*h - v*x = -7*x + 32. Solve -2*d + h*d = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50551, -202212, -454977, -808846, -1263819, -1819896, -2477077?\nAnswer: -3235362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Suppose -2*q - 3*z = q - 15, 4*z - 6 = y*q. Suppose 0 = -q*c - 2*a + 1258, 2 = a - 2*a. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/27 and -26\/60231?\nAnswer: 542079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 878 - 878. What is the closest to c in -2\/17, 6, -5, 3\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 43 - 3597 = 0. What are the prime factors of f?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*k**3 - 2*b**3*k**2*x - 56*b**3*k*x + 22*b**2*k**3 + b**2*k**2 - 2*k**3*x wrt k.\nAnswer: -6*b**3 + 132*b**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.328065 and -5.\nAnswer: -1.640325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 322654 (base 8) to base 2\nAnswer: 11010010110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -19\/20 + 71\/76. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15 and 5224139?\nAnswer: 5224154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81315 is divided by 433.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-448)\/1512)\/((-8)\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 32*s. Let v be w(0). Are 211 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*d*g + 47*d + 2*g - 31 with respect to g.\nAnswer: -74*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -697.2 + 697. Suppose -10*i = -25*i - 45. Which is the closest to i? (a) -2\/5 (b) q (c) 0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b = -4. Let w be 4\/22 - 108\/231. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 5*t + 5*t - 2*t + 1 - 53*t.\nAnswer: -49*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 7*j**2 + 9*j + 13. Let u be i(-8). What is the third derivative of 3*z**u + z**5 + 18*z**2 - 3*z**5 - 5*z**5 wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1554404*u + 2 - u**2 - 1554404*u.\nAnswer: -u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - 8) + -19 - 27?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) -0.03 (c) 2\/49 (d) 1 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*n - 100. What is the highest common factor of 20 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 73. Let q = -26 - f. Sort 6, q, 3 in decreasing order.\nAnswer: 6, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5)*d*d)\/d*d**(-1\/5))**(1\/4)*(d\/(d**1\/d))**(-37)*((d*d**(-6\/11)*d*d)\/d)\/d**(-1\/6) assuming d is positive.\nAnswer: d**(-5788\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**29*i**(-31))**(-2) assuming i is positive.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -12, 8*p - 3*p + 4*g = 164762. Suppose -2*i = -5*j - 125990, i - p = -4*j + 30058. Round i to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -3 - 2*5. Let n = l - -13. Suppose -n*m + 4 = -4. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + p. Let w(r) = -5*r**2 - 6*r. Let f(y) = y**3 - 4*y**2 - 8*y + 11. Let a be f(5). What is a*j(d) - w(d)?\nAnswer: d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 9861?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2300.5 - -2301. What is the third biggest value in 1\/3, -1\/12, 13\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5 = 5*x, 3*x - 5*p = -x + 29. Suppose -c + x = -0*c + k, 5*k + 5 = 0. Let s(j) = -j**2 + j - j**c - j. Let o(r) = -5*r. Give o(s(l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x**3 + 36 + 484 + 11*x**3.\nAnswer: -16*x**3 + 520","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 5:30 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 296586767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3511*u**4 - 44*u**2 + 6*u - 18. Let v(w) = 7023*w**4 + 86*w**2 - 12*w + 39. Let i(k) = 13*d(k) + 6*v(k). Find the third derivative of i(p) wrt p.\nAnswer: -84120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**4\/2 + 7*w**3\/6 - 15*w**2. Let r be y(-8). Let z = -53 + r. Does 25 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -31. What is the second derivative of 43*b**2 - v*b**2 - 6*b**5 - 45*b + 4*b**5 - 8*b wrt b?\nAnswer: -40*b**3 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1407\/(-441)*(11 - 8) + (-9)\/21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2805 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 13. Let p = q - -4. Suppose -p*v = v - 64. What is the highest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0.9. Let l = 0 + y. Let z = -0.084 + -0.016. What is the smallest value in 6\/5, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79621 times -35\nAnswer: 2786735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/3 - 542888*l**3\/3 + 10860242*l**2 + 66790108*l\/3 + 33666496\/3 = 0. Calculate l.\nAnswer: -271504, -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -3\/2, 2364, -175, 2.\nAnswer: -175, -3\/2, -1\/9, 2, 2364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5338683.6 rounded to the nearest 1000?\nAnswer: 5339000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - b - 3 + (2*b + 0 + 0)*(-2 + 0 + 0) + 6*b - 2*b - 2*b - 4*b + 3*b + 0*b - 42*b + 457 - 457)*(b + 5 - 5) + 2*b**2 - 2 + 2.\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.75033992 + -9.79034. Let d = 0.04 + s. Round d to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -108*n**7\/7 + n**6\/3 + 77*n**3 + 250. What is the third derivative of c(p) wrt p?\nAnswer: -12960*p**3 + 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 68*s = -98*s - 1896 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 2 - 8) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2071108 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1035887332 + -294583\nAnswer: -1036181915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1821\/(-906))*((-288)\/(-324))\/((-32)\/48).\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 990 and 1210?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*b**4 + 21*b**3 + 264*b**2 + b + 16519262.\nAnswer: -64*b**3 + 63*b**2 + 528*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*p + 2385 + 3726. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-622)\/(-8) - 0 - (-450945)\/(-163980) - 2*7?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -276b + -3?\nAnswer: -2772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - f**2 - 1. Let n(c) = 2*c**3 - 10*c**2 - 9. Let i(v) = 18*b(v) - 2*n(v). Let k be i(-2). Calculate the highest common divisor of 23 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-1) + (-3 - -1). Suppose 0 = -6*f + t*f - m + 51, -f + 3*m = -3. Suppose f = -0*o - 6*o. What is the closest to 0.1 in 0, o, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29, 20, -1, -40, -103, -196, -325?\n\"Answer: -z**3 - 2*z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -67*f**4\/2 + 12460*f**3 - 1544544*f**2 + 63779648*f + 3813248.\nAnswer: -(f - 124)**3*(67*f + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 m when four letters picked without replacement from mmmihhmiimmhimh.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*1 + 4\/1. Suppose -4*v + 33 = 5. Suppose k - n = v. Calculate the greatest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934*u + 61032 = 1881*u + 1596*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + c**2 - 10*c + 4*c**3 + 13*c - 8*c in the form g + s*c**2 + m*c + b*c**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*i - 6 = 5, -4*i = 5*q + 8. Let s be q\/2*-2 + -2. Let z be 2\/(-5)*s\/(8\/(-260)). Calculate the greatest common factor of z and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 61. Calculate the smallest common multiple of 31 and m.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -605 + 631. What is the greatest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6180448 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 326055 + -218755. What is i rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**2 - 3. Let t be (-8)\/20 + 18\/(-5). Let o be s(t). Calculate the highest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 42.15227t?\nAnswer: 42152270000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*-2 - 7. Let l be (-1)\/(-1) + g\/7. Is l <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545845.5 kilograms in milligrams?\nAnswer: 545845500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*d - 5315 - 23675 = -129*d + 8605 for d.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -897, -901, -905, -909, -913?\nAnswer: -917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -5*h**2\/2 + 9*h - 10. Is 29 a factor of a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 7*p - 7. Let o = 17 + -12. Calculate s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1689 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 2\/13, 3, -17.\nAnswer: -17, -0.02, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2680, -112, 4 in increasing order.\nAnswer: -2680, -112, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -30368922282505.\nAnswer: 30368922282510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 - 7*h**2 + h**2)*(2*h + 0*h - 4*h) - 2 + h**3 + 2 as r*h + w*h**2 + b*h**3 + z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = -5*y - 0*y. Let o be (-32)\/8*4\/y. Let n = -1.3 + 0.3. What is the third smallest value in 1, o, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 0*j**3 + 0*j**3 + (4*j**2 - 2*j + 2*j)*(2*j + 16*j - 5*j) to the form x*j + q + d*j**3 + u*j**2 and give d.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 85*p + 4836. What is w(-55)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-197)\/(-2))\/(1*24\/48). Sort -2, -1, 1, s, 3 in descending order.\nAnswer: s, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719989023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-257179)\/(-73) + (1 - -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 4*z - 20, 5*f - 6*f = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164812471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 511773\/19 - 26937. Which is greater: 178 or t?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*n + 21 + 1, 0 = 5*n + 2*r - 44. Let c = 219 + -234. Is 4 a factor of n\/(-3)*c\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 17. Let y(s) = s**3 + 3*s**2 - 5*s - 2. Let q be y(j). Differentiate -4*d - q - 12*d + 6*d with respect to d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/17 (b) 0 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n = 23*n + 4428. Calculate the remainder when n is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213994.02 rounded to the nearest one hundred?\nAnswer: -214000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23631713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 46021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 75989900 divided by 18997475?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 454 divided by -40460.\nAnswer: -227\/20230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056 divided by -24?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -17 - (-1 + 3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 22262 - 3930. Suppose c - p = -c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/405*(-18)\/(-2)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 6) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -4*z + 5*z. Solve z = -l + 3 - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 31. Which is the nearest to u? (a) -5 (b) -2\/3 (c) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56799 divided by -18933.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/172 and 35\/4?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 70025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 7) to base 5\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 z, 1 b, and 1 v when four letters picked without replacement from cbcvjgzgb?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -41 + 76 - 53 + v**2 - 10*v. Let p be f(12). Calculate the greatest common divisor of 36 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.1 + 0.9. Let t = 9.9 - y. Let q = t - 1.900143. What is q rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41681, -41656, -41631, -41606, -41581, -41556?\n\"Answer: 25*a - 41706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -a?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1077 - 520. Let c = -557.511 + k. What is c rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**6\/40 - 7*b**5\/60 + b**4\/4 + b**3 + 4*b**2. Let z(a) = -a - a**3 - 1 - 4 + 3 + 1 + a**2. Give -j(l) - 6*z(l).\nAnswer: 3*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3823039974 + 17.\nAnswer: -3823039957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120111, -120139, -120167, -120195?\nAnswer: -120223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 2000?\nAnswer: 1998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 150690 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 112 - 14 = 0. Let n(c) = c**3 + 14*c**2 + 10. Determine n(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*(-3)\/15*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 12. Suppose -9 + 3 = 2*p. Let m be j(p). Factor 1\/3*g**m + 2\/3*g**2 + 0*g + 0.\nAnswer: g**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 38*a = -127*a - 4845 for a.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 94 + i**2 + 13443*i - 13443*i - 94.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 17*h**2. Let r be (-4)\/(-8) + (-4)\/8. Let i(b) = -b + r*b + 3*b. Give v(i(x)).\nAnswer: 68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t + 1. Let b(m) = -5*m + 4*m + 14*m + 2 + m. Let i = -14 - -6. Determine i*v(a) + 3*b(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from {i: 10, c: 5, e: 1, f: 3, s: 1}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 10. Suppose 0 = -w*c + 3*c + 4*x - 4, c = 3*x + 2. Calculate the common denominator of (-309)\/(-30) + (-6)\/c and 115\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 5*sqrt(18))**2 + sqrt(242) + -2 - (sqrt(2)*3*3 - (sqrt(2) - (sqrt(200) + sqrt(200) + 2))**2).\nAnswer: 78*sqrt(2) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a4 - 0?\nAnswer: 4a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 1515*a - 13614. Determine x(9).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 90 + -0.17\nAnswer: 89.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h. Let k be ((-12)\/(-10))\/(72\/180). Sort 1, h, k in ascending order.\nAnswer: h, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28182058 divided by 2.\nAnswer: -14091029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 10*d**2 - 11*d + 11. Let r be s(11). Let w(y) = -y + 22. Let p be w(r). Suppose -16*m + 1115 = -p*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2 + (-11)\/(-6)). Calculate the remainder when 174\/8 + 2\/8 is divided by 120\/(-18)*w\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -557*y**2 + 10*y + 2. Let c(r) = -32*r. What is j(c(g))?\nAnswer: -570368*g**2 - 320*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.541396 centuries?\nAnswer: 649.6752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4478613, -7 in descending order.\nAnswer: 4478613, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgjggskg. What is prob of picking 1 g, 1 s, 1 j, and 1 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 23*h**2 + 2*h - 2. Let k(f) = -12*f**2 - f + 1. Give 6*i(l) + 11*k(l).\nAnswer: 6*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 121585, 121329, 121073, 120817, 120561, 120305?\n\"Answer: -256*s + 121841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*t + 4983 - 592 + 4140 - 480 for t.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/4)\/((-1)\/(-22)). Let r(y) = -2*y - 5. Let x(b) = 5*b + 98. Let q be x(-21). Let z be r(q). Calculate the greatest common factor of z and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(3 + 14\/(-4)). What is the closest to 4 in b, 0.1, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, f: 7, g: 5}. Give prob of sequence fff.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443655 (base 8) in base 16?\nAnswer: 647ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*m - 2*m**2 + 4*m + 2*m)*(-1692 + 1692 - 62*m) as z*m**3 + y*m + x*m**2 + p and give z.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1028 + 1022 + 129*c**2 + 20*c**3 + 1028 - 4103 + 1026 in the form m*c**2 + o*c + v + a*c**3 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ininzdad. Give prob of sequence nz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**5\/20 - l**4\/12 + l**3\/6 - l**2 + 108*l. Let g = 2 - 2. Calculate t(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**2*p)*p\/((p*p**1)\/p))\/((p*p**13)\/p*(p*p*p\/(p\/(p\/(p*p**(-13))))*p*p)\/p))**(-11) assuming p is positive.\nAnswer: p**341","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9154?\nAnswer: 2, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 5136.\nAnswer: 1\/856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 11*u + 21. Let v be m(-26). Let h = v - -1477\/4. Suppose -5\/4*g + h*g**3 + 1\/2 + 3\/4*g**2 - 1\/4*g**4 = 0. What is g?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*l - 6, -3*g - 15 = 5*l - 2*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 31*x - 66. Suppose 3503 + 0*z - 3507 - 2*z**x + 6*z = 0. What is z?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 5*l**2 + 7*l + 6. Let r(a) = a**2 + a + 1. Give 6*r(c) - z(c).\nAnswer: 2*c**3 + c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1008124584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 6378.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvhwzwwvhwnw. Give prob of picking 1 v, 2 w, and 1 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -215*d - 7735. Let z be h(-38). Sort 0.9, 3, z in increasing order.\nAnswer: 0.9, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 948 - 948. Let s(o) = o**3 - 10*o**2 + 8*o + 9. Let n be s(9). Let l = -2 + n. Sort q, l, -7 in descending order.\nAnswer: q, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3647, 5, 3 in descending order.\nAnswer: 5, 3, 0, -3647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 = 4. What is the second derivative of 2 - d*a**3 + 2*a - 2 wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 119.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -31*t + 1. Let c(i) = 31*i. Let j(b) = -3*c(b) - 4*d(b). Let m be j(-3). Let r = m - -286\/3. Is r > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -7. Let s = -24.725 - -24.7. Let j = 0.375 - s. What is the second biggest value in d, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s*t**2 - 14*s*t - 605*s - 19*t**3 wrt t.\nAnswer: -4*s*t - 14*s - 57*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 times -5.9189?\nAnswer: -728.0247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2283*k - 2300. Determine u(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2255671*c**4 + 980130?\nAnswer: 9022684*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 4:14 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -18*s + 12. Let m(b) = 12*b - 8. Give 5*d(q) + 7*m(q).\nAnswer: -6*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 354511553 to the power of 1\/2, to the nearest integer?\nAnswer: 18828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5883 + 2941 - 32*m + 2941 to the form p + o*m and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746856193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252372 divided by -2.\nAnswer: 126186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 + -113. Let v = -47.8 - o. Is v smaller than 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = v + 2760 + 4353, -3*a = -v - 10672. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -2, -5, 0, -1 in increasing order.\nAnswer: -5, -2, -1, 0, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -218*l**2 + l. Let d(m) = 3477*m. Calculate k(d(h)).\nAnswer: -2635517322*h**2 + 3477*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 12 = 3*v. Find the second derivative of -u + v*u + u + 6*u**3 wrt u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/5100 and -89\/408?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -27. Calculate the highest common divisor of 231 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268)*-6)\/(sqrt(225)*-1).\nAnswer: 36*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*t - 69*t - 29*t)*(4 - 3 + 0) to the form u*t + x and give u.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2311678374.\nAnswer: 2, 3, 251, 1534979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2))**39\/(a**3*a*a**(2\/13)))\/(a**(2\/3)*a**7*((a**0\/a)\/a)**(-21)) assuming a is positive.\nAnswer: a**(-2677\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735 - 436 - 845 = -126*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*i - 82*i - 2880 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9242? (a) 3\/2 (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12322291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -81228\/47 and -0.35 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2343867*j + 9375471. Calculate g(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7520.994um to nanometers.\nAnswer: 7520994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u - 4*x + 9 = 31*u, 5*u + 20 = 5*x. Which is the second biggest value? (a) -23 (b) -14\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - -75. Suppose -5*o + 7 = -3. Put c, o, -2 in increasing order.\nAnswer: -2, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2. Let s(a) = -208*a - 3. Let w(p) = 83627*p + 1205. Let g(t) = 1205*s(t) + 3*w(t). Give l(g(i)).\nAnswer: -116162*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 139566.3um?\nAnswer: 0.1395663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 2*w - w + 8, -5*w = -5*y - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + 22 - 12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5015 is divided by 264.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 593487568 to the power of 1\/3, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2. Let x(l) = -4*l + 33. Give 18*j(u) + 2*x(u).\nAnswer: -8*u + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/69? (a) 3 (b) 0.87 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d + 4*d**2 + 2 - 5*d**2 - 1 - 4. Suppose 0 = 4*b + 3*w - 26, -6 = -w - 2*w. Is s(b) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a9 - 124?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9427.13ml?\nAnswer: 9.42713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7*14*((-54)\/(-9))\/(-54)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 259606.2 less than -0.029142929?\nAnswer: -259606.229142929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7249913 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 30 = -237. Let w(t) = -t**2. Let y(k) = k**2 + 9*k - 13. Let d(p) = -w(p) + y(p). Does 20 divide d(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6690.\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5820?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + -3.91. Which is the closest to -3? (a) 2\/7 (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 109 = 29. Suppose -q + 444 = -g, g + i = 3*g. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**4\/24 + 8*w**3\/3 - w**2. Let m be h(0). Suppose 0*s - 5*s = -80. What is the highest common divisor of s and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74100825 is divided by 31940.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 5*l = -9*n - 70, -2*l = -n + 24. Calculate the greatest common divisor of n and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**3 + 11*m**4 + 10*m**4 + 1 - 22*m**4 to the form p + i*m**3 + g*m**2 + b*m**4 + f*m and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2622, -1041, 4 in increasing order.\nAnswer: -1041, 4, 2622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 6 + 2*u - 4*u + 0*u. What is the tens digit of r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12ebc36 + -b?\nAnswer: -12ebc41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 12*x**2 + 12*x - 12. Let p be y(-13). Let d be (1 - 1)*(p + -2). What is j in d + 2\/7*j**2 + 0*j = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r\/r**7)\/r))*r*r*r\/r**6)\/(r**4\/r**(-5)) assuming r is positive.\nAnswer: r**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 6*f - 6. Let q be b(6). Is ((-1292)\/8)\/((q\/2)\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 26*o + 17. What is the units digit of i(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 30, 0.2 in increasing order.\nAnswer: -0.5, 0.2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 39 = -39. What is the nearest to h in -0.3, 4, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/16 + (-30)\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*(sqrt(19) - sqrt(152)\/(sqrt(16)\/sqrt(2) + sqrt(8))))**2.\nAnswer: 483\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 397, 424, 465, 526, 613, 732, 889, 1090?\n\"Answer: a**3 + a**2 + 17*a + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -39*k + 2998. Let r be q(77). Sort -2, 1, 31, -3, r in ascending order.\nAnswer: r, -3, -2, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*z = 58, p + 17 - 40 = 3*z. Let v(b) = -p + 6 - 56*b + 35*b + 30*b. Let o be v(4). Solve -4*c + 9 = o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82153787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2627, 2677, 2729, 2783, 2839?\nAnswer: 2897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*j - 8*j**2 - 1012*j - 307*j + 328*j.\nAnswer: -8*j**2 - 1158*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 11 = -3*o. Let m be (-3)\/((-1)\/(2\/3)). Suppose m*h + h + 3*i - 24 = 0, -4*i + 20 = h. Calculate the remainder when o is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13945 = 48*k + 12889. Solve k*y - 36 = 31*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952 a factor of 46998336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104341*a**2 - 35969*a wrt a?\nAnswer: 208682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -3. Let x be -6*4*b\/(-6). Suppose 0 = 3*f - x - 2. Solve g = 3*g + f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 divided by 22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**1)\/z*z)**42\/((z**(2\/7)*z)\/z**(-4)))\/((z**2\/z**(-4))\/(z**(-1)\/z)**(4\/19)) assuming z is positive.\nAnswer: z**(4029\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 + -96. Are -6 and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - 2*1*sqrt(228))\/(sqrt(12)*1*1) - ((-1*sqrt(190) - sqrt(190))*-3)\/(sqrt(10) - sqrt(40)*-2).\nAnswer: -11*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 34946.85 decades?\nAnswer: 3494.685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 437*p**4*t - 2*t - 200 wrt p?\nAnswer: 1748*p**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*g + 2*s, -5*g + 2*s + 14 = -1. Find the second derivative of -26*n**4 + 9*n + 10*n + g*n - 7*n wrt n.\nAnswer: -312*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 9:36 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -125543514 (base 6) in base 4?\nAnswer: -21212222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 0*w - w**2)*(36*w**2 - 34*w**2 + 3 - 6*w - 1) + 2*w**2 - 3*w**4 - 2*w**2 in the form f*w**3 + q*w + b*w**4 + o + r*w**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*l - 42, -5*l - 66 = -3*d - 16. Let k = d - 16. Is 4 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 13*s**2 - s + 9. Let o be n(13). What is the remainder when 31 is divided by -2 - (-4)\/o - -24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1270530)\/15603 + 174\/2\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/5864 and -61\/24?\nAnswer: 17592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rphphhkppcphppkh. Give prob of picking 1 r and 2 k.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1868\/(-4203)*234\/4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175269196 to the power of 1\/2, to the nearest integer?\nAnswer: 13239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1187 to the nearest ten.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g**2 + 938*g**4 + 76*g**4 - 141*g**4 + 10*g**2 + 1 - 2*g + 0 in the form h*g**2 + i + j*g**3 + s*g**4 + v*g and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 2*y + y - 3*y + 5*y - y - 1 + 2*y + 1 + (7 - 3 - 2)*(-3 + y + 3) + 3*y + 2*y - 6*y + (2*y - y + 4*y)*(3 - 2 + 3) to x + s*y and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 4*i - 3. Let u be r(-5). Suppose -t + u = t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38942334 by -2.\nAnswer: 19471167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, -2, 2925 in increasing order.\nAnswer: -2, 77, 2925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(5\/2)*q*(q*((q*q**2*q)\/q)\/q)\/q)**(2\/31))**(-4\/11))**(-28) assuming q is positive.\nAnswer: q**(336\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 3. Let c(z) = -z - 2. Let a(o) = -7*c(o) - 3*m(o). What is the units digit of a(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477694043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-701 + 196 - 290 - 170 - 38)*(-2*u**2 + 2 - 2).\nAnswer: 2006*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3 + 366*b**2 + 416*b wrt b?\nAnswer: 12*b + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((-1520)\/(-1824))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 - -122. Sort -10, 0.05, u in ascending order.\nAnswer: -10, u, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1212*i**3 + 1 - 3*i**2 - 111*i**3 - 934*i**3 + 3*i.\nAnswer: -2257*i**3 - 3*i**2 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -110c - -4?\nAnswer: -1108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-22)*k*k\/k**(-21) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 3*h**3 + 4*h**3)*(-5735*h - 10234 - 10234 + 20468).\nAnswer: -11470*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*y + 2*y + 90. Suppose 4*f + 5*o + 3 = 27, 4*f - 5*o - 64 = 0. What is the least common multiple of y and f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1\/v*v)**40)**(-37))**16 assuming v is positive.\nAnswer: v**(-23680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -233. Let v = 207 + u. Let n = v + -70. Which is bigger: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*o + 13*o + 649 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 575116576 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: Simplify -1 + sqrt(275)*2 + (sqrt(275) + -1)**2*3.\nAnswer: -20*sqrt(11) + 827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1518 - 165957317.\nAnswer: -165955799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 122\/8748807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6) - (-253)\/69\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16468176 is divided by 8234079?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02463 + -0.03. What is z rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -2\/27 (b) -2\/5 (c) -37 (d) 20 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2753650060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16243068*o**4 - 10023807*o?\nAnswer: -194916816*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/13, -16, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + sqrt(243) - sqrt(243)) + -2 - (-3 + (sqrt(6)\/sqrt(72) - (sqrt(3) + -1)*3)).\nAnswer: -10 + 17*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51, -93, -159, -261, -411, -621, -903?\n\"Answer: -2*s**3 - 28*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - i - 13 = 0, n - 3 - 2 = i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 + 158. Let u = j - 49. List the prime factors of (18\/12)\/(u\/(-4)*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-16)\/(v**5\/v**(-1\/3)) assuming v is positive.\nAnswer: v**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4673 is divided by 465.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3139 = -79. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4444025 is divided by 287?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39 + -53 + (3 - -10). Put i, -9, 3, 0, -10 in ascending order.\nAnswer: -10, -9, i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((1 - 0) + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21203121110 - 2?\nAnswer: 21203121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-3)))**(1\/4))**(-2\/31)\/((f\/(f*f\/(f**(2\/15)*f)))**36)**(-2\/37) assuming f is positive.\nAnswer: f**(3531\/11470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l - 5. Let o be x(-7). Suppose 1 = -4*h + o. Suppose 0 = 3*q + h*q. Solve -4*d + 4*s + q*s = 16, -5*s - 25 = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 + (0 - 89) + -7. Let t = 177 - r. Does 40 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*b**3 - 53*b + 3 wrt b.\nAnswer: -60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 107*u**3 - u + 2. Let x(a) = 108*a**3 - a + 3. Let y(i) = -3*p(i) + 2*x(i). What is the hundreds digit of y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 5, 4, 9436?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 574260361*p + 612134270 wrt p.\nAnswer: 574260361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-14) + (-173)\/(-42) and 27\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*m**2*n - 14943*i*n*v + 17*i*v - 6449*m**2*n - 111*m**2 - 3*m*v with respect to i.\nAnswer: 2*m**2*n - 14943*n*v + 17*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148022 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - 26\/14 - (-347508)\/(-12348)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 10567 + -10564. Solve -o = t*k + 7, -4 = 4*o + 3*k - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 + 20*p + p + 1763 - 9*p**3 + 22*p - 43*p.\nAnswer: -p**3 + 1763","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0, -11, 4\/5, 3\/5, 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 18, -1123, -2, 9 in decreasing order.\nAnswer: 18, 9, -2, -3, -1123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -402*p + 401*p + 3*b, 4*b + 20 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from vqnvemin?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8792 and 7248376.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - ((-12 - -14) + 10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23\/36 - -1\/36. Which is the closest to 0? (a) t (b) 2\/11 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 16 = -5*y. Let n(x) = -2*x - 2 + y*x - 2*x - x. Suppose 7 = 3*z - 5. Determine n(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19101 by -3.\nAnswer: -6367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -576*r**2*v**3 + 5896*r**2*v**2 + 6210880*v**3 wrt r.\nAnswer: -1152*r*v**3 + 11792*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.218 - 0.\nAnswer: 0.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (99\/(-44) - 0).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -128*m - 206. Suppose 3 = -o + 2*g, 1 - 20 = 3*o + 4*g. What is the hundreds digit of x(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -9*v**3 - 9*v**2 - 6*v + 2. Suppose p = 5*s - 11 - 8, -4*s = -3*p - 2. Calculate the smallest common multiple of k(-1) and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331315 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-69 - (-34 + -15)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -931*w + 867 = -880*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289 + 954. Let x = n + -671. Which is the smallest value? (a) -0.01 (b) -0.5 (c) x (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, 4 in descending order.\nAnswer: 10, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 0*c**2 + 5*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1018027434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51654*k**3 + 102*k**2 - 411.\nAnswer: 309924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 1*-6)\/2. Solve -2*j = p*x - 6, -2*x - 7 = 3*j - 0*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 9:20 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 23*a**5\/15 - a**4\/24 + 11*a**3\/3 + 12*a**2. Find the second derivative of u(k) wrt k.\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**2 - 15*p + 175. What is g(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, -1, -108, -257, -454, -705, -1016, -1393?\nAnswer: -1842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 12369*i + 9*i**2 - 12369*i - 5. Let c(q) = q**4 - q**3 - 1. Let o(u) = -5*c(u) + d(u). Find the third derivative of o(g) wrt g.\nAnswer: -120*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + -1 + sqrt(567) + sqrt(567) + sqrt(567))*-4)**2 + sqrt(42)\/((sqrt(54)\/sqrt(3))\/sqrt(3)).\nAnswer: -1151*sqrt(7) + 145168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 329094734 divided by 6?\nAnswer: 164547367\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.6 - -1.6. Let l = -1.1 + 6.1. Which is the biggest value? (a) l (b) y (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 75, 116, 159?\n\"Answer: j**2 + 36*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118888 is divided by 58.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109.99229 - 110. Round b to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 2:48 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*k - 415 - 41 = -27*k. Which is the closest to 9? (a) 2 (b) -0.3 (c) -4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -a + 2*b - 20, 3*a = b + 20. Solve -k + 5*s + 16 - 6 = 0, a*s - 15 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4181 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: Calculate the remainder when 18669 is divided by 17901.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 4433 = -15*x + 2*x. What is the remainder when x is divided by (-1)\/(-5) + (-1120)\/(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/270*25245\/198.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**3 - 116*n**2 + 4*n + 116 = 0.\nAnswer: -29, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8864.058 months to years.\nAnswer: 738.6715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 8. Let t(v) = 8. Let o(j) = 2*h(j) - 3*t(j). Let m(i) = -2*i + 9. What is -5*m(p) - 6*o(p)?\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 719\/7 - (-4)\/(-28)*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -151380\nAnswer: -151380.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 - 53865*z + 1077600.\nAnswer: -3*(z - 20)*(z + 71840)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 901 and 79129?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t + 225. Suppose -5*i - t = -10*i + p, 2*i - 11 = -p. Solve -i*a - 10 = -6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/1*(-1)\/(-1). Suppose 16 = -3*y + x, 5*y = -5*u + 20. Let j be (0*(-3)\/u)\/(-2). Solve 2*z + j*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5) + (-1)\/((-5)\/(-27))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 9:22 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -104133002?\nAnswer: 104133002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952104403?\nAnswer: 463, 2056381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 23. Suppose 0 = -6*t - 11 + 245. What is the remainder when t is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 9*z + 6*z)*(4 - 4 + 14 + 1).\nAnswer: -90*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s*s**(-3)*s)\/s)\/s)\/s*(s\/(s\/s**(-2\/7))*s)\/s*s\/(s\/(s\/s**(1\/4)))*s**(1\/6))**47 assuming s is positive.\nAnswer: s**(-9353\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3665*g - 1 - 867*g to the form k*g + c and give k.\nAnswer: -4532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**9*(z\/(z\/(z\/(z**(-4)*z)*z))*z*z)\/z*(z*z*(z\/(z**(1\/3)\/z))\/z*z)**(-19\/2) assuming z is positive.\nAnswer: z**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2748390 and 3060?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 8*l + 4*l - 12 = 0, l + 5 = 0. Solve -m*o - 5 = 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -535*l - 122. Does 69 divide j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3868*w**4 - 2*w**3 + 23*w**2 + 20*w wrt w.\nAnswer: -92832*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w - 9008 - 45284 = 0. Round w to the nearest 10.\nAnswer: -1940","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-162)*9*(-9)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3 (b) 0.7 (c) 39 (d) 0.07 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 233760884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/11 - 86*r**2\/11 + 944*r\/11 - 1560\/11.\nAnswer: 2*(r - 26)*(r - 15)*(r - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2802*o**3 + 2311*o**2 + 487*o + 4 = 0.\nAnswer: -1\/6, -4\/467, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0.5, -52062 in decreasing order.\nAnswer: 15, 0.5, -52062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*n + 9, -9*n + 13 = -8*n + 3*v. Let p be 1\/((-1)\/(-16)*-2). Let w = -12 - p. Sort 2, w, 4, n in decreasing order.\nAnswer: 4, 2, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 392*k + 12. Let h(d) = -4*d. What is f(h(l))?\nAnswer: -1568*l + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 + 7*g**3 - 48)*(-1 + 1 + g).\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 1.8 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-3)\/6 - (145 + 2). Let t be a\/(-78) - (-8)\/52. Solve 4*d - 34 - 2 = 4*o, -t*d = 4*o + 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -38*q + 41*q - 36, 2*q = 16. Let w(t) be the third derivative of 0*t**3 - p*t**2 + 0 + 1\/24*t**4 + 0*t. Let l(v) = 12*v + 1. Determine w(l(j)).\nAnswer: 12*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12 - 0) + (25 - 28). What are the prime factors of (33*46)\/(q - 8)?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -454\/3 (b) 18 (c) 0.34 (d) -1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43 and 15288.\nAnswer: 657384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-520)\/78)\/(-10)*(-33)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 216519.3 millennia?\nAnswer: 216519300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w*(w\/w**(1\/4))\/w*w*w*(w*w\/(w**(-3\/4)*w))\/w*(w**1\/w)\/w**0 assuming w is positive.\nAnswer: w**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 17 + 2 = 0. Suppose j*v + 0*v = 20. Solve 0 = -r + 2 - v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 1123 = 1151. Solve 0 = -t - 4*r - 17, -r - i = -t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2562175 and 15400.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4 - ((-11)\/(-44))\/(1\/(-5526)). Calculate the greatest common factor of 80 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -76211, -304798, -685777, -1219148, -1904911, -2743066?\n\"Answer: -76196*c**2 + c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1326\/10159 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)*s**7*s**(2\/13)\/(s\/(s**(2\/11)\/s)))**(-8) assuming s is positive.\nAnswer: s**(-5532\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 506, 4080, 10036, 18374?\n\"Answer: 1191*u**2 + u - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 5*o + 42 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 5. Determine g(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/21 - (-4)\/6. Let o be 0 - (1 + -6)\/(-5). Is x > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*s + 25533008, -2*s + 48379494 + 28219510 = 3*y. What is y rounded to the nearest 100000?\nAnswer: 25500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/77564 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - q + 4. Let x be (2 + 54\/(-15))*-5. Let g = 31 + -18. Suppose -z + g = -3*d, 3*d + z = -d - x. Calculate r(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13836689.34 to the nearest ten thousand.\nAnswer: 13840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92\/19 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30600 + -30413. What is the remainder when 2224 is divided by i?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 4)*(0 + -3). Let b = -985 - -1917\/2. Find the common denominator of b and (w - 81\/(-2))\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (1 + -6)) + 1. Let c = 19943 + -19940. Solve -u*r + c = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3130 (base 14) to base 8.\nAnswer: -20426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q + q + 4*q + (3 - 6 + 1)*(2*q + q - 2*q) + 3*q + 6*q + q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -131?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 91 = -265 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299353100 to the nearest integer?\nAnswer: 17302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*m**3 - 135*m**3 - 144*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(2\/(12\/2)). Let c = 1721 - 1457. What is the greatest common factor of m and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 1196 = -1322 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 128, 291, 520, 815, 1176?\nAnswer: 1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 n when four letters picked without replacement from eeewneezenewzzw?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - -2) - (2 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, y: 1, a: 3, v: 4, s: 1}. Give prob of picking 1 v and 1 s.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1. Let o(r) = -r - 9. Let y(a) = -18*b(a) - 2*o(a). Let v(j) = 11*j. Determine y(v(h)).\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1203130?\nAnswer: -1203201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 3\/7, -0.23, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.17689 to 3 dps.\nAnswer: -2.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-39)\/(-284)) - 1688\/(-10972)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 less than or equal to -192147\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(5 - (-1 + 4)). Suppose 4*j - 3*f = 32, x*f + 29 = 3*j + f. Let g = 18 - j. What is the remainder when 25 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*i - 287*i + 90*i + 101*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 7) to base 6\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 3. Let n be 4\/i - (-26)\/10. Suppose 2*h - n*h + 4*g - 18 = 0, -3*h = -2*g + 4. Solve -10 = 5*p + 2*r - 4*r, -r = -h*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2320 - 13?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**3 - o. Let x be ((-4)\/(-6))\/(46\/(-276)). Let m(a) = -13*a**3 - 5*a. Let q = 20 + -2. What is q*h(p) + x*m(p)?\nAnswer: -2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 10603?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 3 - (-95)\/(-19)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 3*n**2 - 3*n + 6. Let b be a(4). Suppose -b = -2*o, 4*o + 15 = -0*c + 5*c. Let t = -3 + c. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 45873289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, r: 2}. What is prob of sequence rff?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 8 - (-8 - -6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 15760 = -16*z. What is the remainder when z is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 15211 = 15219 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**3 - 20*f**2 - 8*f - 11. Let s(d) = 5*d**3 - 18*d**2 - 6*d - 10. Let q(z) = -6*p(z) + 7*s(z). Let y be q(-7). Solve -5*m + 8*m = -y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/11*p - 2\/11*p**2 - 30\/11.\nAnswer: -2*(p - 5)*(p - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = 0. Let h = -120 + 122. Suppose -h = -3*n + 10. Solve f = 7*q - n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 304 + -289.89. Let t = 14 - r. Let l = t + 2.11. Is -0.2 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 5*k**2 - 239*k + 38. Determine u(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t + 15. Let m(j) = j**3 + 31*j**2 + 55*j - 85. Let x be m(-29). Let o(w) = -t - 6 + 8 - 7*w + w**x. Determine o(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 12*o**2. Let k(g) = -14341*g. Calculate b(k(q)).\nAnswer: 2467971372*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 36, -259, -772, -1509, -2476, -3679?\nAnswer: -5124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1 + 1 - 3. Let o = 44.67 + -45. Let h = 0.63 + o. Which is the nearest to -1\/4? (a) q (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 divided by -10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38611247?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 less than -0.0503?\nAnswer: -0.3803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1321 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9092.539 years?\nAnswer: 9.092539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 196*i + 5.\nAnswer: 196*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 971211 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13\/3 (b) -1\/7 (c) 28\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32516 divided by 11?\nAnswer: -2956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 3)\/(-3 - -1). Suppose -6 = -m + v + 1, f = -4*m - 2*v + 4. Solve 6 = -5*s + m*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 32 = 0, 442*n - 437*n = 5*c + 65 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38637498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rof when three letters picked without replacement from {f: 2, g: 1, r: 5, l: 1, o: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y + 280 = 104 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 36*d**3 - d**2 + 5*d - 1. Let p be 4\/8 - (-3)\/2. Is b(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccoiodoodcbdordo. Give prob of picking 1 c, 1 r, 1 b, and 1 o.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*z = -44207, -2*x - 132612 = -5*x - 3*z. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = 2*i. Let n = 515 + -516. List the prime factors of (i - -2) + n + 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - sqrt(7920)*2)\/(sqrt(20)*1) - (-1 + ((0 + sqrt(396))**2 - sqrt(396))*-6 + 1).\nAnswer: -95*sqrt(11)\/2 + 2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -97260 bigger than -389035\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(84) + (sqrt(84) - (sqrt(84) + (sqrt(84) - (1*sqrt(84) + sqrt(84)))))))\/sqrt(1200))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(8\/23))\/(-32*36\/(-9216))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 213 + -210. Let v = 1.7 - 2. Which is the nearest to -1? (a) o (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2912 = -4*f, 106*f + 2*r + 2167 = 109*f. Let k = f + -723. Solve -k*q - 28 = -3*c - 3, -4*q = 2*c + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 2953\nAnswer: -41342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -312 from -0.2.\nAnswer: 311.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7 + 2823*b**2 + 99*b - 556*b**2 - 4934*b**2 + 3*b wrt b.\nAnswer: -5334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**6\/150 - v**5\/75 - 15*v**2. Solve s(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 0.020422.\nAnswer: -4.979578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 235, 465, 695?\n\"Answer: 230*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136978, 547911, 1232808, 2191675, 3424518, 4931343, 6712156?\nAnswer: 8766963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95965714.\nAnswer: 2, 13, 17, 217117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 2\/9 (b) -0.06 (c) 0.02 (d) 23 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2767706 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 806, 3238, 7294, 12968, 20254, 29146?\nAnswer: 39638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 86 + 176 = 0. Is i a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 888321 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 y, and 1 i when four letters picked without replacement from qyiqyiyiiyyiy?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(l\/(l**(2\/9)*l))\/l)\/(l*l**(-16)))\/((l\/(l**(6\/11)\/l)*l)\/l**2) assuming l is positive.\nAnswer: l**(1517\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 284 - 329. Sort z, -10, 0.\nAnswer: z, -10, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 267*c**2 - 416*c?\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564724 is divided by 111757.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -706 - 1b1cc?\nAnswer: -1b8d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-16) - 26\/(-8). Let n = x + 37. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(((q*q**(2\/5)*q)\/q)\/q))**(-39)*q\/(q\/q**(-9))*q**4 assuming q is positive.\nAnswer: q**(-532\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172796 and 312?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 + 4099264*k\/7.\nAnswer: -2*k*(k - 2049632)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*(1 + 0 - -5). Factor -l**2 - r*l**2 + 3*l**2 - 11*l + 4 - l**2.\nAnswer: -(l + 4)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89402161 + 29866571 - 105254238 = -596*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17572 + -17572. Is -134\/93 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**3\/3 + 3*q**2\/2 - 10*q. Let i = 3 + -6. Let w(t) = t - 1. Let l(u) = i*w(u) - r(u). Let c(o) = o**2. Determine l(c(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.605 + -39.605. Let w = 2 + -7. What is the closest to -14 in r, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5))**(2\/49)*p**(-17)\/(p*p*(((p\/p**(-1\/19))\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(-79342\/4655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0.3 (c) -2 (d) 1\/105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -141, -150, -161, -174?\n\"Answer: -h**2 - 6*h - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3 - 9. Let s = 1.96 - 1.9. Let y = s - 0.36. What is the third smallest value in -2, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57940368 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -470.8 + 471. Put 2, -8\/11, h in decreasing order.\nAnswer: 2, h, -8\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1845\/(-27) + 2\/6. Let p be 21*5 - r\/(-17). Let w = 220 - p. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b - 1?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e2 + 1?\nAnswer: -2e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15513953056 + -2?\nAnswer: -1.84486046944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-three tenths of a millennium?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -882244730 rounded to the nearest 100000?\nAnswer: -882200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 448*r**2 - 8*r - 16. Let k be v(-3). Suppose -4248 = -32*w + k. List the prime factors of w.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -21*p**3 + 2*p**2 - 38*p - 41. What is the remainder when w(-1) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813146195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 11) to base 8.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhq when three letters picked without replacement from qhhdhhmqhhhq.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 411624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + -2 + -1 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.01 (b) -6 (c) -14 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*m + 479*m + 175*m + 170*m + 367*m + 404*m.\nAnswer: 1170*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/(-4) + (-12)\/48. Calculate the greatest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 3*o**4\/4 - o**3\/3 - o**2 + 3*o - 1. Let m be i(2). Let b = m - 5. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10614784?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by -6587244\nAnswer: 43\/3293622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k - 35. Let a be u(20). Which is greater: a or -174?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/20 - 11\/22)*262\/2. Solve -19*w = 302 - q for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q - 70*q + 24*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -463809903*f**5 - 3366*f**2 + 2*f + 7919.\nAnswer: -27828594180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 10*g + 6*g - 6*g - 17 = 0, 6*d + 20 = 2*d - 4*g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 17 = -57. Let t(g) be the first derivative of g**2\/2 - 4*g - 2. What is the least common multiple of t(7) and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 9. Suppose 8*s - 32 = 8. Determine f(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*h + 5. What is the remainder when (15 + -5)*(1 + (-2)\/(-4)) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfffmllflffflm. What is prob of sequence lfm?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 + 274. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 431, 956, 1691, 2636, 3791?\nAnswer: 5156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9831804.\nAnswer: 2, 3, 819317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.026 + 0.126. Which is the third biggest value? (a) -4 (b) 7 (c) t (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66465 (base 15) to base 6.\nAnswer: 10544335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 12*j**2 - 24*j - 231. Calculate the lowest common multiple of 57 and n(-12).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*a**3 - 600*a**2 - 645*a - 80.\nAnswer: -5*(a + 1)*(a + 16)*(7*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + -0.03. Let d = 579 + -580.09. Let y = p - d. Which is the second smallest value? (a) 4 (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.03? (a) -55 (b) -4 (c) 0.3 (d) 4 (e) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z\/z**(-21)))\/((z*z**(1\/14)*z*z)\/z))\/(z\/z**(-2\/31)*(z*z**(-1\/7))\/z))**(-46) assuming z is positive.\nAnswer: z**(249481\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 9*d**5\/4 + 17*d**4\/12 + 18*d. What is the third derivative of m(i) wrt i?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35808, -143198, -322182, -572760, -894932, -1288698?\n\"Answer: -35797*n**2 + n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26790 - 16689. Does 39 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739.2417 rounded to the nearest ten?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1557855 and 1240?\nAnswer: 386348040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/(-176)*2*1*28\/(-20)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and (-231)\/616 - (-275)\/8?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r + 7*r - 14*r + 2. Suppose 2*i = 3*q + 4, 0 = 3*i - 2*q - 4 - 7. Let b(x) = i - 3*x + x - 1. What is 3*b(u) - 7*l(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 39644\/4999?\nAnswer: 39644\/4999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00070381 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 112756, 225510, 338264, 451018?\n\"Answer: 112754*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1679 + 1868 = 9*w. Let c(d) = d**3 - 6*d**2 - d - 10. Let t be c(7). Let p = t + -20. Calculate the remainder when w is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2*r)**(-34\/9)\/(r**24*r\/r**(-32)*r) assuming r is positive.\nAnswer: r**(-208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2552 - 2555. What is the third smallest value in d, 5, -15, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 42.23. Let o = l - 0.47. Let k = -1.2 - o. Sort 5, k, 3\/8 in descending order.\nAnswer: 5, k, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b - 19. Let j be p(-8). Let x be (j + -9)\/(4\/(-190)). Let n = -133 + x. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 - 2.3. Which is greater: o or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-28)\/l**(2\/9)*(l**(-3\/10)\/l)**(2\/151) assuming l is positive.\nAnswer: l**(-191887\/6795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + 3*k)*(-520*k + 167*k + 336*k + 460*k).\nAnswer: 443*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-2)\/8*3560\/(-6). Let v = 454 - b. Solve 3*h - v = 6*h, 0 = 3*p - 5*h - 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3377 (base 8) in base 7?\nAnswer: -5136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 392 - 391.9. Suppose 4*h + 20 = 3*i + i, -4*h - 12 = 0. Suppose -i*n + 5*l - 29 = 0, -3*n - 2*l + 4 + 0 = 0. What is the closest to y in 2, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1092, -1096, -1100, -1104?\n\"Answer: -4*t - 1088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -8.0369.\nAnswer: -8.0369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -5*a**2\/2 + 19*a - 15. Is 23 a factor of g(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8609505 divided by 2869835?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.27, -0.069, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2001 + -3?\nAnswer: -2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2233 - -361. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1102)\/(-696))\/(-19)*36.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -274*q**2 + 274*q**2 - 27*q**3 + 0 + q**3 + 0 + (3*q + q - 2*q)*(q**2 - 3*q**2 + 3*q**2) + 2*q**3 - 1 + 1 - 5*q**3 + 3*q**3 - 3*q**3.\nAnswer: -27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1665 divided by -333\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/6 - 3)*34\/(-68).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 14*i + 18*i + 5 = 0, -4*i = -5*z + 35. Solve 11*y**2 - 19*y + 6*y**2 - 2*y**3 + z*y**3 + y = 0 for y.\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j - 26427 = -82506. List the prime factors of j.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 949 and 2782541.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5401 (base 9) in base 4?\nAnswer: 332002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = 15, 0 = -4*n + 2*h + 86. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11459232607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -73, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a7 + -16?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-2 + 6 + -8). Let z be (44 + 1)\/(-3)*1. Is g at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-2)\/(-6)))\/((-20)\/(120\/(-63)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 30 = -y + 5*i - 2, 8*i = -4*y + 36 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7153500 and 684?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 + 7*b**2 + 19*b + 1 - 18*b + 3*b**4 in the form d*b + i + f*b**3 + j*b**2 + u*b**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + (-32 - (2 - 20))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3507.633 + -3513. Let l = n + 0.367. Put l, -0.06, 1 in decreasing order.\nAnswer: 1, -0.06, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 182, 680, 1378, 2162, 2918, 3532?\n\"Answer: -19*i**3 + 214*i**2 - 11*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/7)\/((-4)\/14).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 4 (b) 0 (c) 2\/9 (d) -1\/4 (e) 0.0206\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**4\/24 - 12*f**2. Suppose 0 = 18*r - 27*r - 18. Let z be c(r). Solve z*i + 0*i = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - (1 + (18 - 11 - 4))) + -12.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10405331 (base 6) to base 16.\nAnswer: -4c3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 22 + 1853*d - 1 - 13.\nAnswer: 1853*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 60.\nAnswer: -19\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1100012210002 (base 3) to base 16\nAnswer: -ae062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, t: 1, k: 4, v: 2, p: 1}. Give prob of sequence jj.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-11 - -4)) + (-13 - (-1 + 5)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(27)*1)\/((sqrt(9) + sqrt(144))*-4).\nAnswer: -sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 481, 1159, 2257, 3985, 6553, 10171, 15049, 21397?\n\"Answer: 35*s**3 + 433*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1502 + 25*o**2 - 1497 + 76*o**2.\nAnswer: 101*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.79 + 0.21. Is 0.05 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 100, 195, 280, 355, 420, 475?\n\"Answer: -5*q**2 + 110*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.2693 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (0 + 0)) + 7 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -25287151?\nAnswer: 5\/25287151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1133 + -137. Let v = c + 1275.985. Let a = v + -6. Round a to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 1. Let x(u) = -7*u**2 - 5*u - 4. Determine 4*f(r) - x(r).\nAnswer: 7*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 78 = 2*g, -149 = -4*n - 5*g + 2*g. Suppose 0 = 4*a - 2*l - 1498, a + 39*l - 42*l = 362. Calculate the remainder when a is divided by n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -35, 0.3, 4\/7, 14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -251 < -251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q - 24. Let v(t) = -t - 1. Let w(y) = c(y) + 5*v(y). Let d be w(-14). What is the tens digit of (21 + -1)\/(d\/(-4)*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1110001?\nAnswer: 1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22605)\/(-2055) - ((-1)\/1)\/((-1)\/47)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*z = 8, -2*r + z = -4*r + 10. Let h = r - 2. Suppose -1 = h*g - 3. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:26 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.6796 milligrams in grams?\nAnswer: 0.0596796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.90439.\nAnswer: 0.180878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2908 - -1?\nAnswer: -2907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652941215.\nAnswer: 5, 130588243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + (sqrt(2) - sqrt(14)\/(sqrt(42)\/sqrt(6))) + sqrt(2))*-3)**2.\nAnswer: -12*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 2:27 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -695, -1541, -2723, -4241, -6095, -8285?\nAnswer: -10811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -658*t**5*w + t**4*w + 7*t**3 - 23*t**2*w - t - 6*w - 5 wrt t.\nAnswer: -39480*t**2*w + 24*t*w + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2213748 or 2213750?\nAnswer: 2213750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -101. Let y be ((-2610)\/m)\/(4\/(-6)). Suppose 2*t = 5*q - 855, -4*t = q - 4 - y. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 3:53 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(13) + 5)**2*2 - (-1 + sqrt(117) + (sqrt(39)\/sqrt(3) + -1)**2).\nAnswer: 23*sqrt(13) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 241437302356.9?\nAnswer: -241437302361.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 10. Let s = 15 - a. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.025 and 4226.\nAnswer: 4226.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 3 = 19*z, o - 2*z = -5. What is the closest to -2\/289 in o, -1\/6, 3\/2, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 16 = -56. Solve 8*l = q*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 10:09 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484 + 18 = 15*b + 52 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 17*a + 102, 2*a - 9869*w = -9871*w - 96 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -191*o - 8457. Give r(-43).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 428011237884.99931 + -428004965196. Let x = -6272576 + w. Let h = x + -113. What is h rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/570)\/(2144\/(-268)*(-6)\/(-120))?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (850\/(-2975))\/((-30)\/7 - 1).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*t = -572*t - 392 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4061*h - 2225*h + 3306*h + 5901*h + 11304*h to the form t + j*h and give j.\nAnswer: 22347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + 0 + sqrt(931) + (sqrt(931) + (-1*sqrt(931) - sqrt(931)) + sqrt(931))**2 + ((-2*sqrt(931))**2*-6 - sqrt(931)).\nAnswer: -22344 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + a - 6*a - 13 = 0, -2*x - 2*a + 6 = 0. Suppose 2*p + 2 = -j + 5, 4*j + x*p - 32 = 0. What is the remainder when 37 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111442058083 - 0.5?\nAnswer: -111442058083.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*49\/(-35))\/(153\/(-1224)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9323557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 at most as big as 95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 204499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w + 3*w + 5 + w. Suppose 5*y + 4*z - 2*z + 20 = 0, -5*y = -2*z + 20. Let v(i) = i**2 + 5*i. Let f be v(y). Calculate r(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 8. Let p be i(-5). Suppose 3*a - p*a = 5. Suppose -3*k - 3*b + 69 = 0, -b = a*k - 2*b - 115. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5730*m**3 + 5623*m**3 - 16749*m**3 + 5298*m**3.\nAnswer: -98*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(12\/(-2))*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -34*p - 1. Let b(n) = 51*n + 2. Let s(a) = -5*b(a) - 7*c(a). Is s(-7) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01351 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from ajthja.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 614, 3, -27, -4, 0.\nAnswer: -27, -4, 0, 3, 5, 614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1535 + -30691\/20. Let i = 489\/5359 + -1\/233. What is the biggest value in 1\/7, i, k, -2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004878836 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5 + 21*t**4 + 54*t**3 + 60*t**2 + 24*t = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 675*m - 12. Let h(s) = 2*s**2 + 1352*s + 30. Give -2*h(o) - 5*k(o).\nAnswer: o**2 + 671*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*p = -p - 59, -p = -3*m + 49. Solve v + 4*s - m = 6*v, -2*s + 2 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08014 to three decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-89)\/4984*-340)\/(4*10\/(-4))\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-5 - -2) - (-8 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 0*d - d)*(2 - 3 - 2) + 21*d + 62 - 62 + 3*d - 3 - 3*d - 3*d in the form b + w*d and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10379 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*v - 508 = 50*v + 2692 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.3 - 8. Let k = -1.997 - 199.203. Let v = -202 - k. Which is the biggest value? (a) v (b) -0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1568210 + -1015423. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38.7 and -0.08556.\nAnswer: 3.311172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5486901?\nAnswer: 3, 7, 261281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 12*p**2 + 24*p + 177. Let f be w(-18). Calculate the greatest common factor of 35 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 1524555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 706 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95*h**3 + 77509*h**2 - 2*h + 181704020.\nAnswer: 285*h**2 + 155018*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.212 - 1.2. What is q rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q = -2*i + 9, -2*i + 2*q + 8 = 0. Factor i*o - 5 - 4*o**2 + 3 + 3*o + 0*o**2.\nAnswer: -2*(o - 1)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2\/9, -0.7, -2\/1003, -4, 3.1, -1.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(0 - v + 0) + (-3 + 4 + 1)*(5*v - 5*v - v) - 2*v - v + v - v + 3*v - 3*v - 7*v - 13 + 13.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 21\/2. Suppose 3*w - 134 = 34. Calculate the common denominator of 903\/w + (0 - 4) and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 275 * 0.1.\nAnswer: 27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5)\/((p**(-2)*p*p)\/p)*(p\/(p*p**(-2)))\/p*p**(-2\/5)*((p*p**(-6)\/p*p*p)\/(p\/(p*p**(-2\/11))))**(-39) assuming p is positive.\nAnswer: p**(8783\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2914, 2937, 2960, 2977, 2982, 2969, 2932?\nAnswer: 2865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*(((-15138)\/232)\/(-87))\/(6\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h - 90*h + 31*h + 29*h - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2144 - -53?\nAnswer: -2061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3658914?\nAnswer: 2, 3, 7, 71, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94151691, -94151692, -94151693, -94151694, -94151695, -94151696?\nAnswer: -94151697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 3*y**2 + y**2)*(-5*y - y + 5*y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 806074761 = 2*y - 8*r, 0 = 5*r + 25. Let z = y - 2349707861623\/5830. Let f = z + 4\/265. Calculate the common denominator of f and 57\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/135)\/(6\/2)*6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, t: 2, u: 1, w: 9, m: 1, j: 3}. Give prob of picking 1 t, 1 m, and 1 o.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 89, 86, 87, 92, 101?\n\"Answer: 2*u**2 - 9*u + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.5 (c) 163\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29\/4 - -887\/124. Is 1 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-3)*(-189)\/(-552). Let i = x + -118\/69. Calculate the common denominator of i and -51\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 + 10.06. Let p = a - 0. Let x = 10.00008 - p. What is x rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -73*i**2 - 89*i + 151. Calculate b(-8).\nAnswer: -3809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -65. Let b = q + -31. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8528 divided by -2132?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -4, 1, -24.\nAnswer: -24, -7, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 159996533261\nAnswer: 159996533265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16318*z**4 + 20*z**3 - 2019224?\nAnswer: 65272*z**3 + 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 311970 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**5 - 2*d**4*w**2 + 8*d**3*w**2 - 7*d**2*w**2 + 3*d**2*w + 2*d*w wrt d?\nAnswer: 360*d**2 - 48*d*w**2 + 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 363 - 83?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -5, -0.2, -4, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -58, -19, 0.3, -2, -17, 3.1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4034 (b) 21 (c) -192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3430160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-14) - (-58)\/4. Suppose 4*k + 7 = x. What is b in -1\/4*b**k + 3\/2*b - 9\/4 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.206 - -73509.\nAnswer: 73511.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 265*q**2 + 45. Let r(b) = 12*b**2 + 2. Give -45*r(o) + 2*z(o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3296 + -3288. Suppose 0 = -5*h - c + 109, 1 = c - 2*c. What is the remainder when h is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-15)*((-21645)\/(-18))\/37\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + 6. Suppose -j = -k - l, -5*k = -j + 51 - 10. Suppose 0 = -2*i + 97 + 27. Calculate the remainder when i is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 1995.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1005 + 4?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.03 and 2.358.\nAnswer: -4.78674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -14*k + 246. Let m(b) = -5*b + 82. Determine 11*m(v) - 4*p(v).\nAnswer: v - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 65*q**2 - 33*q**2 - 33*q**2 + 8*q + q + q + 15. Determine g(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/8 - (-16837)\/(-6328))*(-77)\/22?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:55 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(1\/(5 + -1)). Let m(i) = 4*i**3 + i**2 - i. Let v be m(1). What is the highest common divisor of f and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 17097299279.\nAnswer: -17097299288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 215, 0, -3058 in decreasing order.\nAnswer: 215, 0, -3058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.952425ml to litres.\nAnswer: 0.003952425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45\/((-10)\/(10\/(-3))). Solve 2*j = -u + 3, 5*u - c = 2*j - 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 173 - -1418?\nAnswer: 158b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 p, and 1 k when three letters picked without replacement from {s: 2, j: 5, u: 1, f: 2, k: 4, p: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 18. Let a be f(-16). Let x = a + -27. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 + 5*o**2 + o**3 + 2*o + 3*o**2 + 3 - 2*o**2. Let a = 2 + -4. Let f be h(a). Solve -2*d - 3*r - 2 + f = 0, 3*d = 3*r + 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 9. Let p be 4 + (-10 - -6) + 3. Suppose -5*o + 4*v = -158, 6*v - v = p*o - 100. What is the least common multiple of o and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 751115.75 minus 0.153?\nAnswer: 751115.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-16)*664\/(-2490)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -39*o - 78. Let i(w) = -68*w - 158. What is -3*i(l) + 5*s(l)?\nAnswer: 9*l + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/sqrt(44))\/(sqrt(18)\/(sqrt(300) - sqrt(3))).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 4 + -4 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r**2 + 6*r + 1. Let x be z(-1). Let l(u) be the first derivative of 1\/21*u**x + 0*u + 3\/14*u**2 - 10. Suppose l(m) = 0. What is m?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 42710467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.0475473.\nAnswer: -0.2377365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 25223*10\nAnswer: 252230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 15 = w. Suppose 0 = a - 5, 6 = 2*u + 3*a - 9. Let c(r) = -r**3 + 5*r**2 + r + 30. What is the least common multiple of c(u) and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.526185 millilitres?\nAnswer: 0.006526185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 121 = -137, -8229 = -7*g + 5*h - 8202 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**12*c\/(c\/((c*c\/(c*c**1))\/c)))**(-4\/31)\/((c\/(c*c\/c**(-1\/3)*c))**44)**2 assuming c is positive.\nAnswer: c**(18964\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 9*q**2 - 8*q - 24. Calculate u(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17353, -17228, -17017, -16720, -16337?\nAnswer: -15868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 - (-12 + 27 + 15).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 192 + -191.909. Let m = f - -5.709. Let u = m + -5.63. What is u rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(sqrt(192) - -2*sqrt(192)) + -2.\nAnswer: -2 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -209\/4 + 52. Let g(f) = f**3 - 2*f**2 + f - 1. Let o be g(2). What is the closest to o in -4, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -7*i + 4, 18*h + i = 55. Let m be (-1)\/2*0\/(-2). Solve -l + 0*l - h = m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18914, 18698, 18484, 18272, 18062?\n\"Answer: r**2 - 219*r + 19132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -623.1 - 106.9. Let b = -2503107878 - -2503108607.9999278. Let g = h + b. What is g rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1225) + sqrt(1225) + sqrt(1225) + -1*sqrt(25)*-6)*2)\/((-6*sqrt(160) - sqrt(10))\/(sqrt(128)*2 + sqrt(2))).\nAnswer: -918*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-3)*(8\/4)\/6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 3*s - 14 = -10*a, s = -5*a + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208420283?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**4 + 90*z**2 + 8961*z**3 + z**4 - 8959*z**3 as c*z + g*z**3 + l + s*z**2 + i*z**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5395.\nAnswer: 5, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 1 = 4*h, 1019*h - 1022*h - 2 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 11010.\nAnswer: 66060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2995995 months to decades.\nAnswer: 0.0024966625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/1*(-3 + 5). Suppose h + 0 = l, 2*y + h = 10. Let x = 19 - y. What is the highest common divisor of 30 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -i + 36. Are i and 9 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 15, -34 in decreasing order.\nAnswer: 15, -2, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 22*f**2 + 113*f - 55. What is k(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 2. What is q(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*a - 5*w, a + 5*w - 30 = -33 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*i - 8266 = 0, p - 1659 = -5*i - 0*i. Let u = -13195\/8 + p. Calculate the common denominator of u and -47\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3640896 divided by 63.\nAnswer: -57792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12.7 (b) 56 (c) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5 + (1*sqrt(363) - sqrt(363)))*-4 - (sqrt(363) + 2 + sqrt(363) + 1 - (sqrt(363) - (-1 + sqrt(363) + sqrt(363))*-5)))**2 + -3.\nAnswer: 2376*sqrt(3) + 29548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 12 - 4*k**2 + 10*k + 0 - 3*k**2 + 0*k**3. Determine v(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -461*o - 145222 = -484*o. Calculate the greatest common divisor of o and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2145, 9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464 (base 11) in base 8?\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39355476 by 204.\nAnswer: -192919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 84 = 5*n, 3*n - 347*c = -349*c + 51 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -1589618?\nAnswer: -1589618.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30931 divided by 387.\nAnswer: 30931\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2383.\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, 27, 69, 147, 273, 459, 717?\n\"Answer: 2*t**3 + 4*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 1, c: 1, i: 4, z: 2}. What is prob of picking 1 g and 1 z?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6296334 is divided by 147?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 108. Is (54 + (-1)\/1)\/(h\/(-650)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) + (-4265)\/(-20). Let t = f - -676. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3820 and 205820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, e: 5, a: 1, w: 1, t: 4}. Give prob of picking 1 t, 1 a, and 1 b.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {w: 1, i: 1, b: 2, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 19*y - 14963. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 800000 = 2*a. What is a rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-2\/3))*k*k*k**(-9)*(k\/(k\/((k**(-5)\/k)\/k*k)))**(2\/27))**(-1\/22))**13 assuming k is positive.\nAnswer: k**(949\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -143217 (base 9) to base 15\nAnswer: -1ae8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.26 or -3593807?\nAnswer: -3593807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x + 59*x + 4087 - 13837 = -40*x for x.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 2*q**2 + 22*q - 6. Let i be t(-6). Suppose -4 = -4*p, -3*v + i*p = 10*p - 10. Solve 7*w = v*w + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826 = -17*r - 1013 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 242 - 368 - 1315 - 190 to the form k*b**2 + w + j*b and give w.\nAnswer: -1631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**6\/420 - d**5\/70 + d**4\/21 - 461*d**2. Factor t(u).\nAnswer: -2*u*(u - 1)*(u + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.212 * 1022\nAnswer: -216.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1728*n + 121\/3*n**4 + 432 + 528*n**3 + 1992*n**2 = 0. What is n?\nAnswer: -6, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4aa + 4?\nAnswer: -4a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 792 and 804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000492 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 13*x**2 + 1. Let h be y(-13). Let m be 10\/(-18) - (h + -2). Let f = -9 - -4. Put -2, m, f in increasing order.\nAnswer: f, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 1214*y + 23480.\nAnswer: 2*(y - 587)*(y - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 + 104. Solve -4*h = -y*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/450739 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 30 = 4*t. Suppose -3*f + 12 = 5*h, 0 = 3*h - 5*h + f + t. Suppose 0 = h*m - 11 + 2. Solve -3*w = m*v, 2*v + 5*w = w - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55200 rounded to the nearest 1000?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + v**2 + 17*v + 68. Calculate the least common multiple of 1430 and c(-4).\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**5\/7 - 8*p**4 - 14*p**3 + 1160*p**2\/7 = 0.\nAnswer: -5, 0, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121 (base 5) to base 11.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 5)*(-1 - 8). Let b(g) = g**2 - 1 + 0 - y*g + 3. Let r be b(9). Sort 3, r, 4 in descending order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -614, -1279, -1986, -2735, -3526, -4359?\nAnswer: -5234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73140 and 660.\nAnswer: 804540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (270 - 114) + (-1 - 8) - (20 - 1)\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1303*c + 113356. What is p(87)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 4*o + 27, 2*o - 34 + 48 = 2*p for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44538022?\nAnswer: 2, 313, 71147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 51, -1\/5, -4\/7 in decreasing order.\nAnswer: 51, 5, -1\/5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 294*a + 15755. Determine t(-71).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.3. Suppose -4*l = -2*n + 2, 4*l + n = -4 - 1. Which is the closest to l? (a) 1\/4 (b) 0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + j**2 + j + 5. Let x be o(0). Suppose -1085 - 315 = -x*l. Suppose -2*v - 92 = -l. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 7. Let n be w(-4). Suppose 0 = -5*p + u + 6, 2*u - 6 = n*p - 2*p. Are 2 and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6742370 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2077.9 + -2077.95. Sort 5, -2\/13, 0.3, 1.9, u in decreasing order.\nAnswer: 5, 1.9, 0.3, u, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(192) + -4 + (sqrt(192) - (sqrt(192) + 4)))**2 + (((2*sqrt(24))\/sqrt(2) - sqrt(12))**2 + 2)*6.\nAnswer: -172 + 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 16. Let b(u) = 15*u + 1. Give b(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**3 - 12*r**2 + 52*r + 31. Calculate c(4).\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, u: 2, e: 6, p: 4}. What is prob of sequence uxpx?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 87*o**2. Let t(r) be the first derivative of r**3\/6 + 156*r + 105. Let m(f) be the first derivative of t(f). Give j(m(z)).\nAnswer: 87*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -155?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 4*x - 3. Suppose 9 = 4*v + 25. Let b be m(v). Suppose b = h - 0*h. Calculate the remainder when 25 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.05 - -15.75. Suppose z + 4*f = 0, 4*z + f = -0*z - 15. Which is the biggest value? (a) -2 (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1008 + -1003.19. Is 1 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + -19 - (0 - -19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -17. Suppose -3*n + 2*n - 3*x = 18, x = -j*n - 39. Let k be (16\/(-12))\/(2\/n). Solve -4*t + 0*i - 5*i - k = 0, -2*i - 16 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v + 21 = 0. What is the remainder when 3\/24 - 4792\/(-64) - -6 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -10*h + 14*h**2 + 21*h + 11 - 6*h. Let r be u(-9). What is r rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 10*d**2 + 12*d - 6. Let w be v(11). Suppose -2*u + 4*y + 122 + 380 = 0, 0 = -u - w*y + 258. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 5*y**3 - 2*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (7 - (9 - (-14 + 7)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-45)\/12*144\/(-60) - -216050 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 0.4, -0.548357 in decreasing order.\nAnswer: 6, 0.4, -0.548357, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10899 and 5017.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1653 in 11, -1\/2, 0.1, -4, -0.12, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 595851.6 micrograms to tonnes.\nAnswer: 0.0000005958516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 2:39 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 - 17*g**2 + 17*g**2)*(3 + 3*g - 3)*(-78 - 60 - 71).\nAnswer: 2508*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Suppose -35 = -2*p - t*p. Suppose -3*o = -3*s + 195, -4*o = -s + 63 + 8. Calculate the highest common factor of p and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/6 = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + h)*(-7*h - 9*h - 16*h) + 341*h - 129*h**2 - 341*h + (-4 - h + 4)*(0*h + h + 0*h) - 2*h**2 + h**2 + 0*h**2 - 2*h**2 + 3*h**2 - 3*h**2.\nAnswer: -165*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -24*p - 67. Let t(f) = 36*f + 100. Let d(u) = 5*t(u) + 8*x(u). Let b be d(-4). Calculate the highest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2310 and 2352?\nAnswer: 129360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - r = -3*q - 15, 0 = -2*q + 2*r. Suppose -3*b - c = -2, 5*b - 3*b + c - 2 = 0. Solve b = -0*s - 5*s - q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10532, 20803, 30546, 39497, 47392, 53967, 58958?\n\"Answer: -44*k**3 + 10579*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 15*d**2 - 60*d + 994. Calculate a(15).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1817*u - 7275*u + 1841*u + 1838*u + 1827*u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.017968kg in grams?\nAnswer: 9017.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**6\/60 - 19*y**5\/120 - 13*y**4\/24 - 11*y**2. Let t(k) be the second derivative of z(k). What is the units digit of t(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20279503 and 8.\nAnswer: 162236024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 22 = 4*p, 5*n - 2*p - p = 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.705 + 3.33. What is r rounded to two decimal places?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -578, 2, 9, -5, 0, -3 in ascending order.\nAnswer: -578, -5, -3, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28500 and 132625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 22b?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-167)\/(15197\/(-364))*4\/(-14))\/(-14).\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122892 and 399?\nAnswer: 122892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/351*-9*((-2552)\/87)\/44?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26976 - 26183. Calculate the greatest common factor of 234 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.89 + -7.89. Which is the fourth biggest value? (a) -1 (b) o (c) -0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 3*a - 7, -4*d = -7*d - 4*a - 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5. Let z = 6863 + -6862.92. What is the nearest to -0.1 in z, 7, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/285 and 50\/8873.\nAnswer: 133095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*i + 302*i = -735*i + 24948 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57405 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k + 8. Let t be s(-9). Let h = -32 + t. Suppose h*v - 45 = 9. What is the highest common divisor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -347*s**4 + s**3 - 8773*s**2 + 22450554*s?\nAnswer: -4164*s**2 + 6*s - 17546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 - 2*a**3 + 2*a**5)*(-2 + 2 - 1) + (3 + 0 - 4)*(-22*a**5 + 127*a - 127*a).\nAnswer: 20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84296797*r**3 - 48715989*r**2?\nAnswer: -505780782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppp. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**4 + 25*y**3 - 144*y**2 wrt y.\nAnswer: 72*y + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97.7 - 97.6. Which is the biggest value? (a) 5 (b) 2\/3 (c) -2 (d) 5\/7 (e) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkykkyk. What is prob of sequence ykk?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(2\/(-5 - -1)). Suppose t - 63 = r. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-14)\/(-1) - 8\/48*42).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.32069 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*a + 0*a - 10 = 0, -a = 4*p + 5. Suppose p*h + 6 = 2*h. What is the units digit of h\/((-3)\/(-1))*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i + 27424 - 79798 = -42*i. Does 26 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = l + 25, l - 11 = -2*o. Suppose -i + o = 2*v, 4*v - 6 = 2*i - i. Let r(w) = -8*w - i*w + w + 12*w. Let f(t) = 5*t**2. Calculate r(f(m)).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 g when three letters picked without replacement from qqntqgejtqqqgq.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.003217652 - 4.\nAnswer: -3.996782348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from pljjssusuljssssllju?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110047649.\nAnswer: 41, 113, 23753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**3 - 7*s + 7. Let l = 83 - 76. Let y(a) = -2*a**3 - 4*a + 4. Determine l*y(n) - 4*p(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 9*u - 6. Let r be k(-5). Let l be (r\/(-2))\/((-2)\/(-4) - 0). Suppose -x - l*x + 23748 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2313\/17 + 40169\/255. Let c = -104\/5 + x. Find q, given that -2\/3 + 4\/3*q - c*q**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -240 - -582. Let b = j - 340. Are 1.5 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5320 and 4360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/5 + 3017*y**2\/5 + 21186*y\/5 - 54432\/5.\nAnswer: -(y - 3024)*(y - 2)*(y + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*m + 22*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 21477.5mm?\nAnswer: 0.0214775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 52 = 12. Let c be 3\/4 + 90\/l. Suppose -c*g + 5*a = 3*a - 61, 3*a = 5*g - 102. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (112\/35 + -3)\/(-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**4 + 2*k**3 + 2*k**2 - 3*k + 3. Let s(p) = -4*p**4 + 8*p**3 + 7*p**2 - 11*p + 13. Let q(t) = 26*r(t) - 6*s(t). Solve q(z) = 0 for z.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -565 - -565.000000542. Round v to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32.2 - -3.2. Let f = 26.2411965 - -2.7587887. Let l = y + f. What is l rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 - (2 - 1)) + 113 + -34 + -65?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96.11 + 97.11. What is the third biggest value in -1, 336, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 47*t**4 + 6*t**3 + 3*t**2 - t - 642. Let s(f) = 3*f**4 + f**3 + f**2 + 2. Let k(z) = -c(z) + 3*s(z). Find the second derivative of k(y) wrt y.\nAnswer: -456*y**2 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947716.\nAnswer: 2, 7, 11, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 - 2.1. Let h = -49 + 48.8. Sort -1, 0, p, h.\nAnswer: -1, h, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -293*a**5 + 3*a**2 - 65*a**5 + 87*a**5 + 16 + 3389*a - 3389*a wrt a.\nAnswer: -16260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-72) + (-1806)\/9. Suppose -44*t - 1650 - 7150 = 0. Is w > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**2 - 5*h - 1. What is the units digit of i(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*u - 10, -3*u = -3*d + 7*d - 2. What is the units digit of (790\/(-15))\/((4\/(-3))\/d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t + 20. Let l(o) = 5*o**2 + 3*o + 2. Let f be l(-1). Let b be h(f). Suppose -2*r + 130 + 40 = b. List the prime factors of r.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 21 - 5 + m + 6 - m**2 + 14. Suppose 0*z = 2*z. What is the tens digit of c(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -735, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -84*l**2. Let z(t) = -26*t + 26. Give z(b(n)).\nAnswer: 2184*n**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8488 (base 9) to base 8\nAnswer: 14134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15513 by 5171.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2265995.\nAnswer: 5, 453199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1330 - -182.02.\nAnswer: 1512.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*j + j. Let q be (6\/(-9))\/(j\/9). Let b be 5\/3 - (-8)\/(-12). Calculate the greatest common divisor of b and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*h**2 + 366*h**2 - 57*h**2.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**3 - 5*o**2 - 4*o. Let s be u(4). Suppose 5*w = -s + 241. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -62*p**2 - 61*p**2 - 227*p**3 + 34 + 114*p**2 - 9*p. Let d(f) = -113*f**3 - 4*f**2 - 4*f + 16. Let u(j) = -9*d(j) + 4*r(j). Differentiate u(x) wrt x.\nAnswer: 327*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 444\/9)*3. Suppose -7*y + 60 = -c. Calculate the remainder when 79 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(1300) + (-3 + -2 + sqrt(1300) - sqrt(1300)) + -2*((sqrt(1300) - 4*sqrt(1300)*1) + sqrt(1300)*-2 + -2 + sqrt(1300)))**2.\nAnswer: -540*sqrt(13) + 105309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 8*l - 1. Let z(j) = -88*j + 12. Determine -32*m(t) - 3*z(t).\nAnswer: 8*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*1\/((-3)\/(-11)). Suppose -f*q = -12*q + 6. Suppose -5*l = -41 + q. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2397 = -9*r - 8*r. What is the remainder when r is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7318283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + k**2 - k**2 + (-46*k - 57251 + 57251)*(-2 + 3*k + 2).\nAnswer: -136*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 250881576 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 888069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 244*b**2*m**3 - 33*b**2*m + b**2 + 6*b*m**3 + 2*b - 2*m**3 + 16*m wrt m?\nAnswer: 1464*b**2*m + 36*b*m - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23413 + -23413. Factor y - 13\/2*i**2 - i**4 + 11\/2*i**3 + 2*i.\nAnswer: -i*(i - 4)*(i - 1)*(2*i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 411791935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.1, -3, 0.1, -0.324, -26\/3, -64?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*n**5*z**3 - 11*n**5 + 150*n**2*z + 6*n*z**3 wrt n?\nAnswer: -1080*n**2*z**3 - 660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 225 + -225.2. Which is the third biggest value? (a) -0.3 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*4*5)\/(sqrt(80)\/sqrt(392))*-5.\nAnswer: -700*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117 + -111. Suppose 0 = -u*z + 187 + 11. Calculate the least common multiple of z and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75656853 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 6*m**3 - 8*m**3 - 1 + 2*m + 5*m**3 + 2*m**3. What is the remainder when z(-4) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 29\nAnswer: -16\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94.47 - -94.17. Which is the second biggest value? (a) r (b) -8 (c) 4 (d) 1 (e) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 + (27 - 1 - (-113 - -126)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 15*y - 12. Let l(c) be the first derivative of 37*c**2\/2 + 2*c + 2. Is l(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -12*r**2. Let u(y) = 3*y**2 + 2*y + 2. Let b(d) = 16*d**2 + 11*d + 11. Let k(x) = -6*b(x) + 33*u(x). Determine k(w(q)).\nAnswer: 432*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h - 4. Let i(d) = 9*d - 10. Let q(k) = 10*k - 11. Let x(r) = -6*i(r) + 5*q(r). Let b(l) = 3*v(l) + 2*x(l). Find the first derivative of b(m) wrt m.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4171260596 to the nearest integer?\nAnswer: 64585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408 = 5*z - 312. Calculate the greatest common divisor of 112 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26\/3 (b) -3 (c) 0.2 (d) -6 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26102 and 12630?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 1209, 2726, 4851, 7584?\nAnswer: 10925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 + 13*l**2 - 175*l**3 - 7*l**2.\nAnswer: -175*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 2:11 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32425\/17 - -1907. Let i be (3 - 1)*(-14)\/(-4). Suppose -i*c = -5*c. Which is greater: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -23. Let v be (w\/(0 + -2))\/(-1). Determine s so that -1 + 0*s**3 + v*s**3 - s**3 + s**2 + s + 0*s**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 10*n**2 - 3*n - 5. Let m(h) = 6*h**3 + 31*h**2 - 10*h - 14. Let r(i) = -3*m(i) + 8*s(i). Let u be r(-7). Solve 2*d + u = 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/50238, -4, -14, -1\/3 in ascending order.\nAnswer: -14, -4, -1\/3, -0.3, 1\/50238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16000*d**2 + 5*d - 1426482 wrt d.\nAnswer: 32000*d + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 21.55. Let y = s - -0.396. Let z = 0.026 - y. Which is the smallest value? (a) -0.3 (b) -2 (c) 1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 76*y**2 - 895*y - 299. Determine t(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -689, -1574, -2823, -4442?\nAnswer: -6437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - a**2 - a + 14. Suppose -i = -2*l + 53, -i = i - 2. Calculate the remainder when l is divided by r(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence puyy when four letters picked without replacement from {p: 2, y: 4, u: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 78\/7*s + 80\/7 - 2\/7*s**2 = 0.\nAnswer: -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2*t = 3*v - 42, -7885*t + 28 = 2*v - 7865*t for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6) - 76\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Let s(k) = -171*k + 15. Let x(m) = -34*m + 3. Let c(d) = -5*s(d) + 24*x(d). Let v be c(g). Calculate the greatest common factor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w = 40*w - 16*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from kzdkdjdzkkkkd.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 216*i**4 + 2*i**2*w - 772*i + w wrt i.\nAnswer: 2592*i**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 11 - 2)*(-9*v + 4*v - 4*v) to the form n + o*v and give o.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 371202 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17440*v + 4319*v + 91847 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31967 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -11. Suppose -16 = -g*h - 0. Let x = 8 - h. Solve -5*m - 2*l + 8 = -6*l, -x*m = l + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k*k**(2\/3)*k*k*k*k)\/((k**(-6)*k)\/k))\/(k\/k**(-2\/7)*k*k**(-1\/5)) assuming k is positive.\nAnswer: k**(1321\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -9129.21 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -709886 (base 10) to base 7\nAnswer: -6014432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 784 and 1127?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, m: 8, v: 2}. Give prob of picking 1 m, 1 v, and 1 e.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -14*d. Let j(t) = -4*t + t - 21 + 21. Give u(j(w)).\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 662 divide 123671007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 10*l**2 + 8*l + 13. Let k(h) = h**2 - 16. Let c = -12 + 7. Let r be k(c). Give n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x\/x**2))\/x)\/x)\/x)\/((x*x\/(x\/(x**(-2\/27)\/x)*x)*x)\/x*x)*x*x\/x**7*x**(3\/4) assuming x is positive.\nAnswer: x**(-559\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d - 5. Let l be n(-4). Suppose 0 = 3*z - 2 - 4, 34 = 4*v - z. Suppose v + 6 = 3*h. Solve h*k + s - l = -0*s, -k + 5*s = 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 32012511?\nAnswer: -32012523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 82*p + 6 - 76*p.\nAnswer: 6*p + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1323 (base 4) to base 2\nAnswer: 1111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 1483 - 1483. Calculate r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 7*d**2 + 4. Let c be q(7). Solve c*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*y + 12, 0 = 208*y - 206*y + 5*t + 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 7) to base 16\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*r + 6, -2*r = -2*z + 12. Calculate the remainder when 36 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, 2211 in ascending order.\nAnswer: -15, 2, 2211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 14. Let y = k - 13. Let x = 85 + y. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 2407239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 29*c**2 - 6*c + 8. Does 17 divide b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4 - 20. What is the remainder when 114\/4 + 2\/(-4) is divided by m\/(1 - 0) - 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*11\/(66\/4). Suppose r*v + 1262 = 342. Round v to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.917351 litres to millilitres.\nAnswer: 8917.351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*0.01045.\nAnswer: 0.38665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 232.71 - -2840\nAnswer: 3072.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 15. Let t = 16 - m. Let o be -3*((-476)\/t - 0). 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: b\"What is the nth term of -5710, -11412, -17114, -22816, -28518?\n\"Answer: -5702*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1828 - 1440. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -421*i**3 - 5*i**2 + 131*i**3 + 128*i**3 - 6*i + 6 + 160*i**3. Let l(o) = o**3 + 2*o**2 + 2*o - 2. What is -8*l(g) - 3*y(g)?\nAnswer: -2*g**3 - g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.158 * 40.\nAnswer: -6.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1232 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(1 - 2) + (-3 - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -54.3*5\nAnswer: -271.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - 10599?\nAnswer: -105a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/9)\/((-26)\/(-39))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7 = 268. Let n be 1368\/(-22) - (-6)\/33. Let z = n - b. Solve z = 5*d - 4*i, -4*d + 13 + 7 = -3*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 - 1729 - o**2 + 4*o**3 + o**3 + 23*o**4 + 1731 - o - 5*o**4 in the form j*o**2 + d*o + w + x*o**3 + v*o**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 307 = 120. Suppose -12*y + k = -59. Solve 3*n = y*n - 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1197 = g. Let p = -2021\/5 - g. Calculate the common denominator of 6\/(-21) - 694\/(-126) and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*a*k**3 + 2*a*k**2 - 19*a*k - 31*k**6 + 5*k**2 wrt k?\nAnswer: -138*a - 3720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -364.8 (c) -1\/7 (d) 2\/18075 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323767422 to the nearest integer?\nAnswer: 17994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**7\/42 + 16*f**6\/75 - 7*f**5\/100 - 8*f**4\/15 + 2*f**3\/5 + 10*f. What is p in u(p) = 0?\nAnswer: -1, 0, 2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 21*g**2 + g**3 - 35*g + 37 + 58*g**2 - 44*g**2. Let u be p(-36). Let j(z) = 8*z**2 - 1. Let q(s) = -s**2. Determine u*j(c) + 5*q(c).\nAnswer: 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26026092317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 249826 - 4248332\/17. Is -2\/7 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25248 + 29193. Calculate the remainder when z is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -184b?\nAnswer: -184c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 16, 7971200 in increasing order.\nAnswer: 0, 16, 7971200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 156459949 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 4*u, -9 = d - 2*u. What is the second smallest value in 4, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 4*d - 1 - 35, d = -5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16903?\nAnswer: 16903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 9*o**2 + 7*o - 5. Suppose -12 = -6*x + 2*x. Suppose 28 = -x*a - a. What is the units digit of d(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = -4*l - 10, 4*j - 24 = 5*l. Let c = j + -2. Let y be 1*(-4 - -3)*1. Is c less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(16\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 1. Let n be k(-5). Let z(s) = s**3 - 5*s**2 + 5*s - 2. Let g be z(4). Which is the second biggest value? (a) n (b) g (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -150, -394, -746, -1212?\nAnswer: -1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 17*j - 5. Calculate the smallest common multiple of 18 and s(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 4*p**2 - p**2 + 7*p**2 + 80 to w + u*p + h*p**2 and give w.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 5*j - 3. Let f(p) = 16*p**2 - 24*p - 16. Give -2*f(y) + 11*w(y).\nAnswer: y**2 - 7*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 6*z - 3*z - 5*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**3 - 35. Let q(s) = -3*s. Let a(d) = -d. Let t(h) = 6*a(h) - q(h). Give p(t(z)).\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 10 = -54*s + 49*s, -2*v = s - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 29801*f + 30100. Calculate p(-1).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -23*d - 1. Let k = 20 + -29. Let w(g) = -g**2 - 10*g - 10. Let z be w(k). Does 9 divide o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -13*q - 1. Let j be (-12)\/(-5)*285\/38. Suppose -20*w + 2 = -j*w. Give v(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 210016*k**3 + 702892.\nAnswer: 630048*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 139\nAnswer: 4\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in 9, 1\/7, 3\/4, 38\/93, 2\/3, -0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5299 + 10887. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 28. What are the prime factors of j(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20, -56, -2, -5 in decreasing order.\nAnswer: 20, 4, -2, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 525 and 447?\nAnswer: 78225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, w: 6, n: 4}. Give prob of picking 3 n and 1 w.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 39 + 29 = 0. Sort -51, t, 5, -4.\nAnswer: -51, -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*d + 813 - 621 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -1\/84*g**4 - 3*g**2 - 1\/420*g**5 + 0*g + 0 + 0*g**3. Let o(t) = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, x: 2, r: 7, j: 3, g: 5}. Give prob of picking 1 r, 1 g, 1 x, and 1 w.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = 6, o + 56*p - 46*p + 4 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1167 + -1163. Which is the nearest to -4.6? (a) -1\/3 (b) 0 (c) -0.2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-7 - (5 + 7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135127 = -59*l + 135304 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 25*p**3 - 5*p**2 + 6*p - 10. Let b(h) = 24*h**3 - 4*h**2 + 5*h - 9. Let n(o) = 4*b(o) - 3*y(o). Does 28 divide n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - p + 33 = 30, -5*s = -3*p + 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7703871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.114 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 30 = 20*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 11 = 5*m + 2*y, -31 = 4*m - y. Let x be 35\/28 + (-6)\/m. Let v be (x - 1) + (5 - 7) - -4. Solve v = -z - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0*v**5 - 1\/112*v**8 + 0 - 1\/35*v**7 + 0*v + 0*v**3 - v**2 + 0*v**4 - 1\/40*v**6. Suppose d(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4530\/40 + (-2)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-28))\/((-120)\/(-420))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(90)\/(sqrt(3)*3) - (2*sqrt(150))\/sqrt(5))\/(3*3*(sqrt(160) + sqrt(160)*-1 - sqrt(160))).\nAnswer: sqrt(3)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 - 35*g - 11. Let b be w(-17). Solve 2 = 4*m - b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.3 and 3626.\nAnswer: 3628.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**4 + 96*f**3 + 102*f**2 - 96*f - 99 = 0.\nAnswer: -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 11. Let c be l(-13). Suppose c*a = 5*a - 12. Solve 3*w = -5*h - 8 + 1, a*h = -4*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2371348623 rounded to 2 decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8256, -13397, -18534, -23667?\nAnswer: -28796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**2 - 298*k - 536. What is h(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(1 + 55*r - 55*r - r**2)*(4*r**2 - 6*r**2 + 4*r**2).\nAnswer: 4*r**4 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**3 + 0*o - 2 + 0*o)*(-2 + 8 - 3)*(0*o + o - 3*o) to h*o**2 + d + a*o**3 + v*o + n*o**4 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5.6. Let b = 0.4 - u. Let i = 0.000003 - b. Round i to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(572)\/(sqrt(33)\/(sqrt(6)\/sqrt(2) + sqrt(3))))\/(-3*-6*sqrt(324)) + -3)*3.\nAnswer: -9 + sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*i = 0, 4*s + 3 = 5*i + 14. Factor -5 - 7*m**3 + 5*m**s + 12*m + 0*m**4 - 3*m**3 - 2*m.\nAnswer: 5*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-284)\/90 + 2556\/710.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100010101001110 - 100001?\nAnswer: 1001100010100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or 163\/6?\nAnswer: 163\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-4 + 99\/24)\/(-1)). Let x be 2 + f\/32*(-4 + 0). Solve -b + x = 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y = -8. Let t(x) = 2 + y*x + 1 - 3 - x**2. Suppose 10 - 16 = -3*q. What is t(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-8) - (-46)\/16. Suppose 4*p - c*j = -2*j - 16, -4*j + 12 = -3*p. Let d be (-74)\/(-4) + 6\/p. What is the greatest common divisor of 187 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*y**3 - 3*y**4 + 55*y**3 - 1 + 4*y**4 + 74*y + 2 to the form w*y + r*y**2 + z + u*y**3 + m*y**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + l + 10 = 0, -w + 6*w - 30 = 5*l. Let f be 1\/w - (-6 - (-200)\/32). Which is the nearest to 1\/4? (a) 13\/7 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**4\/4 + y**3 + y**2 + 2*y - 7087. Let f(p) = -3*p. Suppose 2*h = 3*h + 4, 2*r + h = -2. Let x be f(r). Give v(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(70)*-2 + sqrt(70) + sqrt(70) + sqrt(70) - sqrt(70)))\/((sqrt(80)*2)\/sqrt(8)) + 5 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-10) + (-536)\/(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32622 - 4?\nAnswer: -32626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g = -828. List the prime factors of g.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, h: 5, b: 2, j: 1, k: 1}. What is prob of sequence bb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248 by -165.\nAnswer: 248\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 306 = -156*v + 423 + 691, 5*p + 7 = 3*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {h: 4, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84) + (sqrt(84) - (3*sqrt(84) - sqrt(84)))*1 + sqrt(84))*3)\/((sqrt(84)*-2*-6)\/(-2*sqrt(700) - sqrt(700))).\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*2\/(-480)*6*2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3720 and 888?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12551242 + -4?\nAnswer: 12551234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2036.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5087, -8521, -14245, -22259?\n\"Answer: -1145*x**2 + x - 3943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12*(-2)\/((-20)\/(-45)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 145 and -14437.61.\nAnswer: -2093453.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 19. Let l = s + -51. Let z = l + 67. Let k(o) = -o - 13. Give k(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*l - 1, -2*l + 2*y = -2*y - 10. Suppose l*q = -3 + 27. What is the lowest common multiple of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.013? (a) 79 (b) -0.5 (c) 4 (d) 0 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - g**2 - 344*g**3 - 16*g + 345*g**3 + 20*g - 424 to l*g**2 + z + x*g + w*g**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:14 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysuhu. What is prob of sequence suyh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*x + 1, -3*x + 9*g = 11*g + 1. Let w(f) = -41*f + 1. Let c(l) = 40*l - 1. Let d(r) = x*c(r) - 4*w(r). Let a(h) = h + 4*h - 3*h. Give a(d(k)).\nAnswer: 88*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1677db0c + -1?\nAnswer: 1677db0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9 - 1 = -4*a, 2 = 4*q - a. Suppose q = 5*c + 2*l - 33, 8 = 4*c - 3*l - 0. Which is smaller: c or 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 24 + 91)*(-5 - 2*i + 5).\nAnswer: -170*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 83\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16586 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1537219 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10747\/16014060 + 3\/8276. Let j be ((6\/4)\/(9\/(-18)))\/(-2 - 1). Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117832, -117842, -117852, -117862, -117872, -117882?\nAnswer: -117892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Suppose 3*c - 2*c - 3*l - 11 = 0, -4*c = -5*l - 23. Suppose 3*u - 66 = f*m, -2*m - 60 - c = -3*u. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18458626, 36917265, 55375904, 73834543?\nAnswer: 92293182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**3 - 24*m**2 + 3*m - 7. Let w be u(5). Solve -4*x - 29 + w = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -23*t + 2. Let d(s) = -4 + 24*s + 7*s + 21*s - 6*s. Give -3*d(r) - 7*y(r).\nAnswer: 23*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k + 2. Suppose 2*h = -5*b + 298, 322 = 4*b - 5*h + 77. Let y be ((1\/(-2))\/1)\/((-10)\/b). Sort -1, k, y in descending order.\nAnswer: y, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 258, 669, 1080?\n\"Answer: 411*d - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6 - 2*q + 0*q - 8 - 8. Let i be j(-7). Suppose 5 + 11 = i*y. Solve 0*t - y = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1180 = 299*f - 5067 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 8 + (-3 - (-2 - -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 448 and 408072.\nAnswer: 3264576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7899 by 2633.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -58 (c) 3\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -18 + 51 + 18.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 812 = w - 0*w, -3*c = 3*w - 498. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**5\/60 + 7*g**4\/24 - g**3\/3 + 14*g**2. Let i(w) = w**2 - 6*w + 2. Give -5*i(x) - 4*z(x).\nAnswer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-25 - (-8 - 7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5238 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 560, 1135, 1690, 2219, 2716?\nAnswer: 3175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 565 + -544. Suppose 0*n + 297 = 3*n. What is the remainder when n is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 5*h = 26. Let p = h + 74. Suppose -2*w = -30 + 6. Calculate the highest common divisor of w and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 673.04 - 673. What is the third biggest value in -3, a, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -1)*(5\/(10\/(-1)) - -1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 550 and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/((-17)\/(-6))*(-973)\/(-278).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33145*w - 953157 = 7384*w for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16423 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: Three letters picked without replacement from sscsppppsp. Give prob of sequence spp.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 22*g + 33. Give t(25).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -140*16\/(-384).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1784)\/(-572) - (-6)\/39) + (-33)\/121. Which is the nearest to -1.2? (a) -0.4 (b) 5 (c) -6\/31 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -19, -29, -39, -49, -59?\n\"Answer: -10*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 - 3 = 0. Let s be 1 + (6\/(-3))\/j. Find the second derivative of s*v - 3*v**3 - 4*v - 6*v + 4*v wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + j**2 - 2 + (2 + j - 2)*(-j + j - 2*j) + (0 + 0 - j)*(0*j - j + 3*j) - 34*j**2 - 10 + 10 in the form a*j + y + g*j**2 and give g.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, 0.01, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 36 = 3*t, -4*t + 4*c + 51 = 35. Let f(b) = -3*b - 12. What is f(t)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0639 rounded to three decimal places?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 1, i: 1, k: 1, h: 3}. Give prob of sequence ikhs.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - h - 7 = 0, h + 1 = 6*m - 8*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4299?\nAnswer: 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 11:37 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 6*z - 1755 = 0. Suppose -z = 5*c - 2170. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60918058 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) + 7\/(-5). Let h = -24 + 21.6. Let f = -2.3 - h. Which is the second biggest value? (a) 3 (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) -2 (b) 8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -2 + (-39)\/1. Let y(j) = -j**3 - 7*j**2 + 20*j - 4. Let x be y(-9). Let f = x - p. Calculate the least common multiple of 14 and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470432?\nAnswer: 2, 61, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0*m + 3*m + (-2*m + 2*m + m)*(-3 + 4 - 2))*(-m**2 + 2*m**3 + m**2).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = 2*t. Let m = 19 + t. Let z be 0\/(-2) - (-2 + -12). Calculate the greatest common factor of m and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 810525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98278, 98554, 98830, 99106?\nAnswer: 99382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4868247 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 1\/2 (c) 8\/15 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p + 147. Let l be z(-22). Solve l = 3*q - 6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/309082 and -81\/42340.\nAnswer: 3090820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iakk. Give prob of sequence akk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - r**2)*(0 + 2 - 1)*(18 - 15 - 10).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -18.971. Let k = m - 0.029. Which is the third biggest value? (a) 0.5 (b) -2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from {z: 2, j: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*s + 2*s + 13*s + 8*s)*(-1 + 1 + s).\nAnswer: 52*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 920b50 (base 14) to base 5.\nAnswer: 2224410344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (350 + -349)\/(3\/(-51))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*384\/(-1600)*40\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9931.047 litres in millilitres?\nAnswer: 9931047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*b + 35, 5*b = b - 20. What are the prime factors of 0 - m - (-45 + 2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 4*v - 20. Let w be x(-6). Sort 0, w, -1.\nAnswer: w, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9839652 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q**(1\/3)\/q)\/q)\/q*q*q)\/(q\/(q\/((((q*q**5)\/q)\/q)\/q)*q)*q))\/(q**1*q\/(q\/(q**(-3\/2)*q))))**(-3) assuming q is positive.\nAnswer: q**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*k - 932 = -0*l, 3*k = 3. What is the greatest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1938, 3707, 5140, 6069, 6326, 5743, 4152, 1385?\n\"Answer: -28*q**3 + 1965*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2557920 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooff when four letters picked without replacement from offfoo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 22 = -4*d, 2*d - 6 = 2*c + 4. Let a = -7 - -11. Let x be 23\/(-7) - (-18)\/63. What is the closest to d in a, 0, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from muqu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1684*u**3 - 2*u**2 + 1015*u - 6.\nAnswer: 10104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*l = 1 - 17, 0*l + 4*l + 20 = -l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 58, 77, 116, 181, 278?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*sqrt(14)\/sqrt(2).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -91. Let q be m\/9 + -3*(-20)\/27. Solve 3*u + 1 = q*u, 3*a = -2*u - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**6\/36 - 2*p**5\/15 - 2*p**4\/3 + 11*p**3\/9 + 5*p**2\/4 - 3*p + 10577. Solve k(h) = 0.\nAnswer: -3, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3563 is divided by 607.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1251 - -9945\/8. What is the common denominator of s and 49\/757?\nAnswer: 6056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1588 = 1096. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -47, 2, 0, -3 in increasing order.\nAnswer: -47, -7, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -5 + (9 - (-1 - (-3 - 7)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29869 - 565844\nAnswer: -535975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2061446\/11 or -187405?\nAnswer: -187405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 0.074, -2\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-5 - -2) - 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d - 174. Suppose 3*c - 9 = -d. List the prime factors of c\/(-7) + (-4)\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**3 - o**2 + 3*o + 5. Let l be q(-2). Which is bigger: l or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/686907525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 2:49 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-7) - (-27203)\/21300. Let y = 11\/1775 + m. What is the common denominator of -131\/70 and y?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -76794330223744.\nAnswer: -76794330223746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-170))\/((-89)\/1335)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 + 1 + 4*z**2 + 8*z**2 + 2*z**2. Let h be g(1). Suppose -t + 5*t + h = 0. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.065? (a) -2 (b) 4\/9 (c) -4 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**3 + 9*f**3 - 17 + 18*f**3 + 6 + 4*f**2 + 2*f**4 + 3*f + 9 to the form m + u*f**3 + i*f**4 + y*f + s*f**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67192316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.444 and 86?\nAnswer: 96.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 943524*z**2 + 283152*z + 1.\nAnswer: 1887048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 14*m - 1)*(2 + 1 - 4)*(0 + 4 - 2).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(sqrt(28)\/sqrt(36) + sqrt(7)) - (sqrt(7) + (sqrt(7) - sqrt(112)*3) + sqrt(7) + (-1*sqrt(252))**2).\nAnswer: -252 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Suppose 8*x = c*x. What is the units digit of (-21)\/(-6)*(x - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 6*c - 1. Let n be o(-5). Let r be 6\/(-6) - n\/(-1). Let b be (20\/r)\/(1\/3). Solve j = -4*j + b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 - 20*t**3 - 12*t**2 + 68*t - 40 = 0 for t.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 120*u - 8.\nAnswer: 120*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -28*i - 23. Let x be h(-1). Solve 2*y + 4*z = -0*y + 14, 0 = -4*y + x*z - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 1f9ec98?\nAnswer: -1f9ec96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 15 = 3*f, 0 = -2*f + f - 4*q - 12. Let x(s) = -s + 14. Give x(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 112*i + 258. Let q(k) = 37*k + 91. Let u(v) = -6*m(v) + 17*q(v). Let j(w) = -2*w**2. Determine u(j(y)).\nAnswer: 86*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16 - -15)*2\/(-22). Put h, -5, 3 in decreasing order.\nAnswer: 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 901, 974, 1047, 1120?\nAnswer: 1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72637 = -11*m - 8518. List the prime factors of m.\nAnswer: 3, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 23*u - 9. Determine m(24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 5) to base 13.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/18)*x*x*(x\/x**(-41))\/x)**(-15\/4) assuming x is positive.\nAnswer: x**(-3865\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-5 - -9 - 4) - 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546859834?\nAnswer: 2, 353, 774589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.306 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001014831 to 6 dps.\nAnswer: -0.001015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 182 = 159. What is the nearest to 0.1 in y, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/105*((-15)\/(-12))\/(90\/63).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 24) + (117 - 102)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 22 = 6, -4*i = -4*a - 2580. Suppose 2*m + 0*w - 1272 = -5*w, 5*w = -m + i. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 5*y**2 - y + 7. Let q be v(-5). Suppose 16 = 7*u - q. Let s(w) = u*w**2 + 3*w**2 - 4*w**2. Let r(b) = -2*b. Give s(r(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2893, 5785, 8677, 11569, 14461, 17353?\n\"Answer: 2892*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 0)\/(-2) + 4. Let j(c) = i*c - 3 - 2*c + 3. Let k(a) = -6*a. Determine k(j(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjnmmnjmjmmmjjjnjm. Give prob of picking 3 n.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(-147)*3\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2831864*i = -o - 2831860*i - 75, -5*i - 176 = 2*o for o.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + n - 6. Suppose -a + 3*t - 295 = 0, 0 = 3*a + 3*t + 305 + 580. Let k = -293 - a. Sort 3, n, k in increasing order.\nAnswer: n, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2. Let b(z) = 112298*z. What is b(n(f))?\nAnswer: 112298*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61556*c**2 + 8409365*c - 8409356*c + 61561*c**2.\nAnswer: 5*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25*5*4\/10. Let v = d - 46. Let j be ((-15)\/30)\/((-1)\/v). Solve 2*a + 17 = 3*u, 3*a + j*u - 3*u = -15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477006561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*x - 13 = 113 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpx when three letters picked without replacement from ifxxipffxxf?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 17*m**4\/3 - 730*m**3\/3 - 1369*m**2. What is the derivative of l(s) wrt s?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 44571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1436 - 2c01?\nAnswer: -1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -467170, -934352, -1401540, -1868734?\nAnswer: -2335934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r + 23 - 6*r**2 + 15*r**2 - 23 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -461\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12221?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4574*n + 50319. Give l(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 55 - (-2)\/(-6)*-3. Let d = -2 - -1. Let f be (21\/(-12))\/(d\/8). Calculate the greatest common factor of n and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1700) - (1 + sqrt(1700))*-3)**2 - (sqrt(85)*-1*-2)\/sqrt(5)*3.\nAnswer: 234*sqrt(17) + 27205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 4*d**2 - 4*d + 4. Suppose 0 = 4*s + 6 + 10. Let c be u(s). Suppose c = -5*k, 3*j + 2*k = 4*j - 10. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -14 - 2*f - 1\/2*f**2. Let q = 2 + -8. Calculate p(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 2. Determine l(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {o: 1, p: 1, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y = -53 - 147. Solve 0 = -b - 5, -3*t + b = 2*b - y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/70)\/(1*(-14)\/(-343)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000 (base 2) to base 8.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14689 divided by 5427?\nAnswer: 14689\/5427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3898933745 to the power of 1\/3, to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -r + 569, 5*v - 147 - 419 = -4*r. Suppose -5*h = 2*x - 178, 52 = 5*h - x - v. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-45)\/(-12) + (-9)\/(-36). Solve x = 88*p - 94*p + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3429 divided by -9?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, y: 8, q: 1, l: 2}. What is prob of picking 1 q and 1 l?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*n + 123 - 123 to j*n + h and give j.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/2989 and 9\/610?\nAnswer: 29890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by -184.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1021*0.63.\nAnswer: -0.064323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*j\/(j*j**(-4)*j*j))\/j)\/j)\/j)**(-22) assuming j is positive.\nAnswer: j**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -4)*-2 + 1. Find the third derivative of -18*f**4 - 2*f**4 - w*f**4 + 5*f**2 wrt f.\nAnswer: -696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106197*i**3*x - 2*i**3 + i**2*x - 16*i**2 - 3355*i*x + 104*i - 25 wrt i.\nAnswer: 637182*i*x - 12*i + 2*x - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 + r**2 + r. Let o be g(-1). Let j(b) be the first derivative of 2*b**2 - 5*b + 2. What are the prime factors of j(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -25.28?\nAnswer: 23.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(4))\/sqrt(2) + (sqrt(75) + -1 + sqrt(3))**2.\nAnswer: -11*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 277043669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 429259, 429697, 430123, 430531, 430915, 431269?\n\"Answer: -t**3 + 445*t + 428815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41, 148, 399, 854, 1573, 2616?\n\"Answer: 10*c**3 + 12*c**2 + c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23 and 0.5?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123679305.\nAnswer: 3, 5, 31, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 13 = 2*m - 9, m + 2*j = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439084 to the power of 1\/2, to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + 844 - 757 - 4*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 v, and 1 z when three letters picked without replacement from {v: 1, z: 1, q: 1, d: 2, u: 1, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeemeheehfuh. Give prob of sequence euf.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 332 = -110*c, -2*v + v = 9 - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1136375.1 rounded to the nearest ten thousand?\nAnswer: -1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 2*c - 6 = 0. Suppose -5 - c = -2*x. Suppose 0 = x*b + 4 - 49. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 16*o - 41. Let m be g(10). What is the greatest common divisor of 2023 and m?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5\/6)\/r**(-16)*(r\/(r*((r\/((r**6*r)\/r))\/r)\/r*r))\/(r*r*r\/r**(-3)*r) assuming r is positive.\nAnswer: r**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 13*i + 61. What is o(17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s - 204 = -2285 - 2294. Solve s*b = 182*b + 56 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 56508217?\nAnswer: -56508215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73172417783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -1. Let q be (0 - -2)\/(b + 3). Suppose 25*k - 32 = 44 + 24. What is the greatest common factor of q and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-36)*27\/12.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3395 take away -2?\nAnswer: 3397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 130, -4187, 5, -6, 0, -4 in decreasing order.\nAnswer: 130, 5, 0, -4, -6, -4187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-3) - (-1)\/3. Let n = p - -6. Suppose n*f - 1 = 15. Solve j - 2 = 0, -f*m - j - 4 = -5*j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.173004 centuries in millennia?\nAnswer: 0.1173004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from qqaqaa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*d - d + 39, 164 = 4*d - 2*g. What is the remainder when d is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 151918040 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*s + 5, 5*s = 2*z + 7 - 40. Suppose -15 = -z*y + 5. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Let n(x) = 11*x**3 - 9. Let k(p) = -5*p**3 + 4. Suppose 47 - 19 = 4*b. Calculate b*k(c) + r*n(c).\nAnswer: -2*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a day in seconds?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-1)\/1*1. Let w be (8\/(-2) - a)*-3. Let o = 71 - w. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m**2 - 2*m + 2. Let v(r) = -2215*r**2 + 4*r - 4. What is 2*t(a) + v(a)?\nAnswer: -2203*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444 and 976282.\nAnswer: 5857692","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77768.\nAnswer: 2, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26159 - -37678. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0*k - 5*k)*(-2 + 1 + 0) - 2*k - 2*k - k + (-2*k - 1 + 1)*(-5 + 1 + 2) + 3 + 2*k - 3.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 8*g**2 + 9*g - 8. Suppose 127*u = 5*m + 130*u - 255, 2*m = 4*u + 76. Calculate the least common multiple of h(7) and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -71, -138, -233?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**2 + 2*d - 7*d**2 - d**2 - d.\nAnswer: -24*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -10, -3, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g - i + 5, -5*g - i = -9. Let h(l) = -10*l**3 + 2 - g. What is the smallest common multiple of h(-1) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -204284 - -204283.08797. Let a = n - -0.907. What is a rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220220 - 12?\nAnswer: -1221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from {m: 1, j: 1, h: 1, r: 1, u: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azkk when four letters picked without replacement from {k: 5, a: 3, z: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 5:56 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28.8, 3, -12.73, 244?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015305566 rounded to 6 dps?\nAnswer: -0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 73, 136, 195, 244, 277?\n\"Answer: -s**3 + 4*s**2 + 58*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(64\/(-36)) - -1)*794 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 33 - 78)*(-3*r - r + 2*r).\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49\/26 + -1231\/598. Let y be 1\/4*(-62)\/23. Let v = y - d. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -353\/5 (b) -73 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002487 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13612518 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:05 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f + f**4 - 4*f - 9*f**4 + 4*f wrt f.\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24456608?\nAnswer: 2, 11, 17, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -117 (b) -2 (c) -1\/4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16081 is divided by 374?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2740155 and 2420?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 193440, 386559, 579682, 772809, 965940, 1159075, 1352214?\n\"Answer: 2*s**2 + 193113*s + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 12. Let m be h(-4). Let q = m + 41. What is the remainder when q is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*k - 706 = -842 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -142 (c) 1\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 0*o + 2\/3*o**3 + 11\/2*o**2 - 24 - 49\/4*o**4. Find the third derivative of k(g) wrt g.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(78))\/sqrt(2) - (sqrt(78)\/sqrt(2) - sqrt(39))*6)\/(sqrt(48)*6 + (-1*sqrt(120))\/sqrt(10)).\nAnswer: 3*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3*-2*sqrt(450) - sqrt(450))*-6)\/((sqrt(200)\/(sqrt(4) + sqrt(16)))\/sqrt(5))*-5.\nAnswer: 4 + 1350*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - o + 16, 4*z - 2*z = o + 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)*z)**(-1\/32)\/((z*z*z*z\/(z\/z**(-6)*z))\/(z*z*z\/(z**(-1\/6)\/z)*z)) assuming z is positive.\nAnswer: z**(3505\/384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + -6 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59740?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 2:50 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 994070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9237 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27131066*c**3 - 5*c - 37210 wrt c?\nAnswer: -162786396*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*c**2*i**2 - 2*c**2*i*w + 7*c*i*w**2 + i**2 + 2*i*w**2 - 4*w**2 wrt c?\nAnswer: 20*c*i**2 - 4*c*i*w + 7*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2311281 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -93\/2, 2, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146247 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 3*g + 12, 6*g - 11*g = -4*v - 21 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143448709.\nAnswer: 41, 3498749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 43 + 82 = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-133)\/1710)*-1278690. What is p rounded to the nearest 100000?\nAnswer: -16400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*k + 1 = -840*k - 1267*k + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 68*s**3 - s. Calculate u(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -310116 plus 3?\nAnswer: -310113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/3 + (1 - -194)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9217188 divided by 2304297\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(7\/6)*w))\/w)**30*(w\/(w**(-4\/15)*w))\/(w**(-5)*w) assuming w is positive.\nAnswer: w**(-911\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4370, -4441, -4510, -4577, -4642, -4705, -4766?\n\"Answer: x**2 - 74*x - 4297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**2. Let z be w(1). Find the first derivative of -2 - z*p**4 - 1 + 4*p**4 wrt p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45124567.\nAnswer: 61, 67, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 divided by -74?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -4)*1512\/(-1890). Sort 15, g, 12, -4.\nAnswer: -4, g, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3 + 1 + 2*t + 7 - 11*t. Suppose -5*l + 97 = -4*k, 0 = -2*l + 3*k + 26 + 17. Calculate the remainder when i(-5) is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*m**2\/13 + 288*m\/13 + 8\/13 = 0.\nAnswer: -2\/73, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 16*c + 26. Let q be u(-15). Solve q*w - 4 = 15*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284, 5.406, 1\/4 in decreasing order.\nAnswer: 5.406, 1\/4, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/2)\/(8652*60\/1440).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, m: 13, s: 3}. What is prob of sequence ml?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 1165.\nAnswer: 1165.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (7 - 0 - 13)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckckafk. What is prob of sequence kcf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 88490603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8337, 30, 0, -2\/61 in increasing order.\nAnswer: -2\/61, -1\/8337, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 300*a**3 + 26*a - 29*a - 308*a**3. Let j(v) = -16*v**3 - 5*v. Let g = -8 + 11. Give g*j(i) - 5*y(i).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**4 - 9763*h**3 - 325*h - 11?\nAnswer: 12*h**2 - 58578*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 u when three letters picked without replacement from {u: 3, q: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from usfkkaai?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*r - 15, -3*r - 25 = -4*p - 4*r. Let j(h) = 13*h**3 - 11*h**2 + 4*h - 1. Is j(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 579, 1174, 1767, 2358?\n\"Answer: -r**2 + 598*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 + g**3 + 1 + g**2 - 4*g**3 + 4*g**3 in the form p*g + t*g**2 + x + c*g**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -40 - (-5 - (2 + -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122.908 - -2.208. Let o = 79 + g. What is o rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224590 is divided by 2833?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-15))\/((-1)\/(-3)). Let u(f) = 2*f. Let w(g) = 5*g. Calculate s*w(p) + 11*u(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let a(f) = -32*f**2. What is a(y(i))?\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -1.1.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 394 + -394.2. Suppose 0*g + 18 = -3*g. Let y be (3*-1)\/((-45)\/g). Which is bigger: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b + 5. Let v(h) = 16*h**3 + h**2 + h - 1. Let f be v(1). Suppose 3*z + 1 = -f. What is the tens digit of u(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3))**8*(f\/(f**6\/f))\/(f*f*f**(2\/21)) assuming f is positive.\nAnswer: f**(-632\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-80) - 21\/(-84).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.2. Suppose 2*o = -4*h + 26, 3*h - 5*o = -3*o + 23. Let z be h\/(-6) + 2\/12. Which is the closest to f? (a) 0.4 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s - 27. Let n be q(-5). Suppose -5*c = -6*c - x, 3*x + n = -c. Let p be (c\/(-8))\/(1\/(-4)). Solve -u + 10 = 3*g, p*u - 14 = -4*g - 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -622577 - 7423. What is y rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 5 - 11 + 32*q.\nAnswer: 32*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n - 25 - 155 = 120 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117990 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 1. Suppose 5*v = -20, -5*v + 2*v = -4*d + 2788. Let g = d + -696. Let y(b) = -3*b. What is g*a(u) - y(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 25 = 5*a, 0 = -a - 4*i + 3 + 2. Solve -2*r - a*j - 35 = 0, r + 0*r - 4*j - 15 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -116*s + 1214. Determine o(11).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3 - 11 - -9) + 60486\/((-2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2 + 4. Let v(q) = 4*q**3 - 5*q**2 + 5*q - 4. Let b be v(2). Solve 3*w - b = -j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 6:46 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -186 - -185.999917. Round m to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.84 + 12.840417. What is r rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5, -5*q + 10 = 2*o - 8. Let p = q - 2. Let w be 3*(-134)\/(-78) + 50\/(-325). Let l(s) = 4*s + 1. Let n(k) = -2*k. What is p*l(u) + w*n(u)?\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.153.\nAnswer: -0.0459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-11)\/4)\/(27\/(-198)) and 121\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m + 2*m - 3*m + (-1 + 2 + 1)*(0 + 0 - m) + m + 2 - 2)*(-28 + 78 - 189) as i*m + d and give i.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.79 + 4.51. Let v = y - 0.3. Let n = v - 4.984. What is n rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -62. Let b be 2027\/(-15) - (1 + o\/30). What is the common denominator of -97\/18 and (-92 + 1)*(2 - b\/(-66))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 48 = -43 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1220 + 102?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 - 3136\nAnswer: -3135.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p + 3*p - 2*p + (-12*p + 8*p + 42 + 10*p)*(0 - 1 - 1).\nAnswer: -17*p - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 4316?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*g - 5. Suppose -20 = -g*u - 3*l, 2*l + 9 = -4*u + 29. Solve -4 = a, u*q + 0*q = 5*a + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + x - 38, -6*k - 4*x - 124 = 7*k + 6*k - 8*k - 0*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k - 3. Let s be 2 + k\/(1 + -2). Suppose s*i - 9400 = 5*i. What is i rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzzzfzzhzzxfzz. What is prob of picking 1 z and 2 f?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1100 = 4*j + 2*f, 5*j + 1375 = -5*f. Let l = 6051\/22 + j. Let o = -0.1 - 0. Is l equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 217 = -2*o, 0*j + j = 4*o + 227. Suppose 0 = 2*u + 7*u - j. Is 113\/5 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -26*o - 5*o + 2224 - 1946 + 8*o. Let u be j(12). Determine k, given that -2\/5 + 2\/5*k - 1\/10*k**u = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 17*d**2 - 11*d - 35. Let v = 140 + -124. Is c(v) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyllp. Give prob of sequence ll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 45 - 95 - 4*a**2 - a**3 - 2*a**2 + 44. Let y be j(-6). What are the prime factors of (-430)\/y + (-2)\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - l + l)*(-2*l**2 - l + l) + l**4 + 4*l**4 - l**4 + (-l**2 - 3*l**2 + l**2)*(2*l**2 - 2*l**2 + 2*l**2) + 0 - 3*l**4 + 0.\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6488681 (base 9) in base 4?\nAnswer: -31102201021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = 3*c + 4*s, 3*c - s = 16. Suppose 2\/3 - 4\/3*y**2 + 2\/3*y**c - 2\/3*y - 2\/3*y**5 + 4\/3*y**3 = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-1) - 0 - -2. Let i = z + 3. Let k = i - -3. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24760193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1bc - -16?\nAnswer: 1d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0*r + 7\/6*r**3 + 0 - 7\/24*r**4 + 1\/15*r**5 + r**2. Let d be s(3). What is the greatest common divisor of d and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1593 - 2031. Is -0.1 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 79, 172, 291, 430, 583, 744, 907?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45*b**2 + 27344*b + 236594720 wrt b.\nAnswer: 90*b + 27344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + d**2 - d + 4. Suppose 16*g - 28 = 14*g. Calculate the remainder when g is divided by f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15533 and 27979.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1336241\/9745065 - 5\/19687. Let r = -155\/4 - -6983\/180. Let s = r - c. What is the smallest value in s, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -31*q - 209. What is j(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 25*k - 8. Let w be n(12). Suppose 3*l + 66 = 7*l + 2*u, 5*l - 102 = w*u. What is the least common multiple of 48 and l?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 30. Suppose -y*n = -17 - 79. Let s(h) = -2*h - 3. Let o be s(-3). What is the highest common divisor of o and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1587731.470051 - -1587661.47. Let m = -106 - -176. Let c = i + m. Round c to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1 - 60460?\nAnswer: -60456.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 5, 18 in decreasing order.\nAnswer: 18, 14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 49556 = 10946. Suppose b - 4*r - 679 = 0, -3*r - w = -4*b - 859. Is b a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and (-40)\/12*(1 + 22\/(-4))?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 31 - 11 - 36 - 26)*(49*f**4 + 2008*f - 2008*f).\nAnswer: -5635*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2394 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -23607659.\nAnswer: 94430636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100001011111 + -101?\nAnswer: 11100001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (0 - (-2 + 12)) + (-9 - -1) + 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 104*z + 26. Let w be y(6). Round w to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 81. Let c(h) be the second derivative of -1\/3*h**3 + 0 + 0*h**2 + 129*h. Give i(c(j)).\nAnswer: 8*j**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.9615 minutes?\nAnswer: 117690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -11.5. Which is the closest to 3? (a) 0.2 (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1706703?\nAnswer: 3, 397, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/570572 and -41\/10.\nAnswer: 2852860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*sqrt(17)*-2.\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 82015400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -698*m. Let g(n) = -12940*n. Determine j(g(c)).\nAnswer: 9032120*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -123491061 divided by 19137\nAnswer: -6453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3656250*y**3 - 3*y**2 + 5016007 wrt y?\nAnswer: 10968750*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3122*t**3 + 9*t**2 + 122*t - 418 wrt t?\nAnswer: 18732*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9841 - 6711. Suppose -11*p + r = -7*p - 2*q, 3*q = 9. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15800, -15865, -15974, -16127, -16324?\nAnswer: -16565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 418469 times -44\nAnswer: -18412636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, 11, 2, 0.583, -1\/2 in decreasing order.\nAnswer: 11, 2, 1, 0.583, 0.5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.365073 to 2 dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 14*m - 69*m + 9 - 2*m. Calculate the least common multiple of 22 and r(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 4:06 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23453050 divided by 3?\nAnswer: 23453050\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1. Let u(y) = y + 14. Let q = -12 + 13. Let t be 20\/(-12)*-3 - -1. Let w(o) = q*u(o) + t*v(o). What is the first derivative of w(j) wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6374139*u**5 - 6*u**2 + 179*u - 63 wrt u?\nAnswer: -382448340*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 248\/137 > 34\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 + 7*s + 1. Let l(k) be the first derivative of -3*k**4\/4 + 4*k**2 + 2*k + 54. Calculate -3*l(z) + 4*t(z).\nAnswer: z**3 + 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-4*sqrt(104) - sqrt(104))*4)\/((sqrt(1152)*-4 + sqrt(1152))*6))**2.\nAnswer: 325\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 + 5 + 5*k**2 + 2 + 0 with respect to k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/138*(-10)\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o - 4288427 + 4288427.\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 2*t + 3*t)*(74*t - 30*t + 12*t) - 4*t**2 + 3*t**2 - t + 0*t to y*t**2 + v + u*t and give y.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - a + 9 = 0, 7 - 1 = -2*i + 5*a. Let p be i\/18 - (-545)\/30. Suppose 8*k = 2*k + p. Let z(w) = -w - 4. What is z(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62 and 24.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 70*q - 10. Let g be s(2). Let n = -128 + g. Solve 3*d = 5*k - 0*k + 28, 4*d - 14 = n*k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 40*z. What is u(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -36*l**2. Let m(x) = -77*x. What is p(m(y))?\nAnswer: -213444*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 4:41 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 - 3*i - 1. Let m(z) = 2*z**2 - 2*z - 1. Let h = 57 - 62. Let c(a) = h*m(a) + 3*o(a). Let y(q) = q + 1. Determine c(w) - 2*y(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2646*z**2 - 14*z + 2560. Let x(r) = 1764*r**2 - 9*r + 1706. Let a(f) = 9*p(f) - 14*x(f). What is the first derivative of a(k) wrt k?\nAnswer: -1764*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29223 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/81360 and 49\/172692.\nAnswer: 390283920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*z = 17, 0 = -0*z - 4*z + 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106868?\nAnswer: 2, 26717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1001 equal to -1044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 11 = 5*s, -670*s + 667*s - 1 = g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (9 - (-5 + 10)) - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 6:29 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7 - 141*z**2 + 77*z**2 + 83*z**2 + 1 - 16*z**3 wrt z?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 277, -2, 60, 13, -4\/9.\nAnswer: -2, -4\/9, 13, 60, 277","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 g, and 1 t when four letters picked without replacement from tgafotgffgf?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.1. Let x = d + 0.9. Let c = -1.372 + 1.362. Does x = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -851 - 4?\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 1. Solve h + 5 = 5*p - i, -p = -2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2226*f + 13 = 2213*f. What is the nearest to -2\/7 in 5\/14, 20, f?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**4\/6 + 3*p**3\/2 + 126*p**2 - 8*p. Is 42 a factor of k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 399.29 + -399. Put -2, b, 2, 3 in decreasing order.\nAnswer: 3, 2, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 626567.9 litres in millilitres?\nAnswer: 626567900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17102, -16378, -15656, -14936, -14218?\n\"Answer: -f**2 + 727*f - 17828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 5569 - 4655 - 8*n**2 + n**2. Let r(m) = -m**2. Calculate r(q(c)).\nAnswer: -25*c**4 + 9140*c**2 - 835396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*h**2*x**2 + 2*h**2*x - 5*h*x**2 wrt x.\nAnswer: -30*h**2 - 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 12 = 2*a. Let x be (1 - -62)*(-2)\/a. Suppose 0 = 2*g - 3 - x. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282796.\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxdwdrdrddlldd. What is prob of picking 2 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13834 rounded to three decimal places?\nAnswer: -0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -4*c**5\/15 - 21*c**2. Let w(t) = t. Determine n(w(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/3 + (-17250)\/138.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/10 of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1447622 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 36*g + 12 = 42*g, 3*c - 62 = -3*c + 2*g for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 24 = 5*z. Suppose -3*f = z + 4. Let o be 6\/(3 + f + 2). Let a(t) = t**3 - 2*t**2 - 3*t + 1. Calculate a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43923 = -558*g - 70*g - 1298*g + 42747 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 134568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**2\/2 - 4*a - 9. Let n(o) = -3*o - 13. Give -2*n(f) + 7*x(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -97 (c) 0.001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d. Let k(w) = 38*w**2 + 12*w + 12. Let f(u) = -3*u**2 - u - 1. Let x(b) = 12*f(b) + k(b). Determine x(y(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.96785 to one dp.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008928236 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -80159 and 186?\nAnswer: -14909574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160 + 105*i**3 + 160 + (i + 4*i + 0*i)*(4*i**2 - 2*i**2 + i**2) to z + t*i + q*i**2 + n*i**3 and give n.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-2))\/(6\/(-8)). Let z be -2 - o*2\/4. Does 13 divide z\/(1\/(-28)) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*f*h*q + 11*f*q + f - 2*h**2 + h*q + h - 8*q wrt h.\nAnswer: 26*f*q - 4*h + q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, t: 1, w: 6}. What is prob of sequence lw?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**3 + 4*i**2 - 2*i + 5. Let k(n) be the first derivative of -5*n**4\/4 + 7*n**3\/3 - 3*n**2\/2 + 9*n + 4010. Give 4*k(d) - 7*y(d).\nAnswer: d**3 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - m + 2. Let x be v(2). Let w be -1 - 7\/x - -2. Let n = 43.3 + -35.3. Which is the closest to 0.1? (a) n (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2. Let x(m) = 3. Let c(b) = 369*b - 45. Let u(z) = c(z) + 15*x(z). Determine u(n(a)).\nAnswer: -738*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1130, -1134, -1140, -1148, -1158, -1170, -1184?\n\"Answer: -c**2 - c - 1128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -32945, -59916, -104867, -167798?\n\"Answer: -8990*t**2 - t - 23954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1492 + 1615. Let s = -1330 + g. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8726 + -8721. What is the closest to -13 in -0.05, -2, -2\/3, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/340 and -35\/136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s = 3*k - 5667, -4*k + 5*s = -7556. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -93, -86, -79, -72?\n\"Answer: 7*o - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 406 and 0.3.\nAnswer: 121.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 4, 989, 1\/46 in descending order.\nAnswer: 989, 4, 1\/46, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(4\/(16\/6)). Is (t + 1)\/(-7) - 1644\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877 is divided by (130\/78)\/(10\/1332) + 4.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -3, -0.1, -0.476, -6, 2\/1597, 0?\nAnswer: 2\/1597","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15115252 + -1?\nAnswer: 15115251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/8, 2, 3\/4, -50.27, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**7\/42 + u**5\/4 - 5*u**4\/12 - 10*u**2 + 1. Factor w(p).\nAnswer: -5*p*(p - 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 754 and 561979951?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -10\/429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 7*p + 6. Let h = 1 + 1. Let g be (-10)\/(-4) + 3\/h. Let z be a(g). What is the highest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*m**2*p + 9*m**2 + 2*m*p + 17*m wrt m.\nAnswer: -154*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -134\/3 (c) -44023 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 11*h - 2. What is a(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 4*u - 12. Let o be w(9). Suppose o - 3 = 5*i. Suppose -x - 2 = -i. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, x: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60303871 to the nearest integer?\nAnswer: 7766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 10:41 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3 + 24 + 2*m**2 - 4*m - 3*m**2. Let h be f(-7). Solve h = 3*d + 2*d + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -842 - -845. Let w(j) be the first derivative of -7\/5*j**5 + 0*j**4 - 8\/3*j**q + 0*j - 7 + 0*j**2. Find the third derivative of w(y) wrt y.\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by -6\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:26 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44424691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 11 = 5*m + 4*d, 5*d + 1 = -m. Suppose 3*g = 4*g - 4. Factor m*x**2 - 3*x**5 + 3*x - 9*x**g + 3*x**4 - 13*x**2.\nAnswer: -3*x*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, z: 2, h: 2, a: 3, x: 2, w: 3}. What is prob of picking 1 z, 2 h, and 1 x?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5\/2 - 63*h**4\/2 - 219*h**3\/2 - 261*h**2\/2 - 51*h = 0. What is h?\nAnswer: -17, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 157609886 to the power of 1\/3, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**2 - 7*u**2 + 2*u + 1 + 7*u**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67 - (-57 + -18)) + 2 + (10 - -2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18620 and 770.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r**3 - 72*r**2 - 24*r + 48. Calculate a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -21*f. Let h(l) be the second derivative of -3*l**2 - 5\/6*l**3 + 9*l + 0. Let s(y) = 14*y + 17. Let t(c) = -17*h(c) - 6*s(c). Determine t(k(r)).\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 67 = 2*l, l - b - 4 = 28. Let x = l + -24. Let r(m) = 7 - 16 + m + x. What is r(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140254591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 - -604\/7. Let j = 1 + -0.7. Let v = j + -0.2. Which is the nearest to v? (a) 0 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 divided by -7\nAnswer: 79\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 352, -0.5 in increasing order.\nAnswer: -5, -0.5, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124520 or 622603\/5?\nAnswer: 124520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 14 + 30 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-10))\/(-11*(-4)\/110).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 101?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 543108 and 1221993.\nAnswer: 4887972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 177817.\nAnswer: -889085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -1672, -3773, -6716, -10501, -15128, -20597?\nAnswer: -26908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60110.65mm to kilometers.\nAnswer: 0.06011065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -703, -6, -2, 0 in decreasing order.\nAnswer: 0, -2, -6, -703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) 0.18 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8117.738 kilometers to micrometers.\nAnswer: 8117738000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.15, -2\/7, -0.1?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16078716 divided by -151686.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.9 (b) 1 (c) 48 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + 130. Calculate the remainder when a is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**6\/360 + m**4\/6 - 2*m**2. Let f(d) be the second derivative of g(d). Let h(a) = 3*a. Calculate f(h(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -247 - -245. Sort 0, 9, -1, n.\nAnswer: n, -1, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1955 and 197085505?\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01295 and -0.26.\nAnswer: -0.003367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -18. Let b(z) = 5*z**2 + 6*z. Let d(x) = 4*x**2 + 5*x. Calculate c*d(t) + 5*b(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/195, -0.454, 1\/7, 0, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4277199293\/80358 + -430\/13393. Let x = a - -53397. Let y = -171 + x. What is the closest to 8 in 2, y, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3907 = -2*n + 11*s - 6*s, 6*s = n - 1929. What is the remainder when n is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -192 - -227. What is the remainder when 838 is divided by k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113585759 to the nearest integer?\nAnswer: 10658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5041616748 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**2*d*h*q + 433*a**2*h**3*q - 2*a*d*q - a*h**3*q + 3*a*h**2*q + 5*a*q + 2*d*h**3*q + h*q wrt h.\nAnswer: 2598*a**2*q - 6*a*q + 12*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 10\/11, 123, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -8*j - 7820. Is (j\/(-16))\/((-6)\/(-24)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7\/11)\/n*n**11*(n*n**23\/n)**26 assuming n is positive.\nAnswer: n**(6681\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 15*s**2 - 6. Let v be w(-4). What is the highest common factor of 26 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*c - 174*c = 482 + 750 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from ewoeteeo?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143242613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 3, x: 5, q: 1, i: 1}. Give prob of picking 2 x.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1268 and 49?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*u - 12446 = 242*u + 4207 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + -1.2. Let g = 2.025 - 2.3. Let d = g - m. Round d to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3133\/(-1446))\/(2\/4). What is the second biggest value in -0.7, p, -1, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8*m**2 - 4*m - 4. Let n(c) = -9*c**2 - 5*c - 5. Calculate -5*l(z) + 4*n(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + b = -15, 2*b + 27 = -335*t + 340*t. Put -1, t, -125, -2, 1 in decreasing order.\nAnswer: t, 1, -1, -2, -125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t. Let f(y) be the first derivative of -6*y**3 + 8 + 9 - 21 + 0. What is v(f(b))?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/3599721 and 107\/547326?\nAnswer: 93592746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*o**4*x + 173*o**3*x**3 - 3*o*x**3 + 91*o*x**2 - 2*x**3 wrt o.\nAnswer: -60*o**2*x + 1038*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 81 + 9. What is the remainder when 1 + 2 + (-7 - -46) is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**3 - 585*r**2 - 2396*r - 8. Determine z(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 535 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 0)*(-6)\/4. Let y(p) = -3*p + p**2 - p - 3 + g*p. What are the prime factors of y(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) - 129\/(-12). Let t = -7 + y. Let b = -4 + t. Solve b = -2*v + 3*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:10 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-18)\/4 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Which is the closest to 0.5? (a) 5 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 262980.\nAnswer: 262980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 1) + (-2 - -126). Suppose 3 + u = 5*p. Let n = p - 11. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*12\/(-150)*10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*l - 17. Let f be 4\/5*l\/8. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15067*t**4 - 14294.\nAnswer: 60268*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4762\/17 + -18963\/68. Suppose -n = 3 - 18. Let t be ((-1)\/(-3))\/(5\/n). Which is bigger: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 4*s**2 - 11*s - 6. Let d be r(-5). Suppose 2*c = -2*m + d, -15*c + 12*c = 4*m - 45. Solve -5*z + m = 2*g, 0 = -2*g - 3*g - z + 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10534 - -10539. What is the least common multiple of 5091 and w?\nAnswer: 25455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 1:14 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 65\/3. Let p = -343 - -687\/2. What is the closest to p in 0.4, l, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113460 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 365 - -4855?\nAnswer: 5220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 34 - 39)*(v**4 + 6*v**3 - 11*v + 2*v - 8*v**3).\nAnswer: -28*v**4 + 56*v**3 + 252*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**7\/2520 + y**4\/3 + 6*y. Let x(g) be the third derivative of b(g). Let m(w) = -4*w**2. Determine m(x(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/65 + 2\/195. Let j = 2.73851 - -0.26149. What is the closest to -2 in j, o, 1, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 12:27 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-1 - (-132)\/96). Let h(t) = 8*t**2 + 3*t - 3. Let b(r) = 19*r**2 + 7968*r + 16 - 7984*r - 59*r**2. What is m*h(n) + 3*b(n)?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + 0. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 804304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8945b + -45?\nAnswer: 89416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*6 + 168\/24. Determine q so that 5 - 9*q + 14*q - 10*q**2 + 4*q**4 + 2*q**3 + o - 7*q**3 = 0.\nAnswer: -1, -3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12*t**2 - 16*t - 17. What is q(-2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1818703433 rounded to 4 dps?\nAnswer: -0.1819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 102566 = q - 113595, -o + 216141 = q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2480, 2512, 2544, 2576, 2608?\n\"Answer: 32*u + 2448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 16111*i. Let d(s) = 4*s**2 - 5*s. Calculate d(l(x)).\nAnswer: 1038257284*x**2 - 80555*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9957 + 10003 = 998*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 = 3*j, -13*l + 6 = 5*j - 10*l. Let t = -825043\/2529 - -2936\/9. Is j > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 440430 - -103?\nAnswer: 440533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.075 - 1.059. Let x = -0.016 + m. Let n = 13 + -16. Which is bigger: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inxnixxn. What is prob of picking 2 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {f: 3, j: 4, s: 6}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -131375 (base 8) to base 15\nAnswer: -d89b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -4957 + 4987. Solve -7*g = r*j - 2*g - 5, g = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*j - 5*j. Suppose 3*n = z - j, -2*n - 20 = -6*n - 4*z. Suppose -4*f - 33 = -2*v - f, n = 5*v + 2*f - 35. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-522)\/(-145)*70\/4. Suppose s = d + 73. Calculate the remainder when s is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10.5, 371.3, -0.2, 4 in ascending order.\nAnswer: -0.2, 2, 4, 10.5, 371.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g**2 + 129*g - 13. Let j be u(-13). Suppose 2*o - 1 = 7. Suppose -n + 2*x + 20 = -2*x, j = -o*n + x + 20. Solve -3 = -n*v - 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 - -103. Let g(s) = s**3 + 12*s**2 - 23*s - 48. Let h be g(-14). Let b = -88 - h. What is the greatest common factor of a and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d*d**(2\/7)*d)\/d)*d*d**1*(d**(-1\/2))**7 assuming d is positive.\nAnswer: d**(-25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41064*i**2*u**2 - i**2*u - 3*i**2 + 4*i*u**2 + 18*i*u - 4*i - 7*u**2 + 587*u wrt u?\nAnswer: 82128*i**2 + 8*i - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3504674202 - 0?\nAnswer: -3504674202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5790789245?\nAnswer: 5, 1158157849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15536 + 15533. Let o = 6.6 - 12. Let d = o - -5. Sort d, -5, a in increasing order.\nAnswer: -5, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-126) - (-5)\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41559, -41583, -41607?\nAnswer: -41631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*d - 112*d + 7 + 45*d**2 + 25*d + 29*d + 28*d as b*d + r + s*d**2 and give s.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5925649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -86*l**3 - 2*l**2 - 3*l - 1. What is the remainder when m(-1) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5542175 rounded to two dps?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 165.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*k + y, -2*k + 4*y + 82 = 3*k. Let x = k + -15. Solve -x*i + 1 = 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 3, m: 1, b: 1, v: 1}. Give prob of picking 1 b and 1 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*9\/(-132)*-10*65\/(-10920)*-56.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**5\/60 - m**4\/8 + m**3\/3 - m**2\/2 + m. Let u(k) be the first derivative of q(k). Suppose -b - 2 = -5. Determine u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1780*y = 1771*y + 207. Calculate the highest common divisor of y and 345.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26188619 a multiple of 647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/2 + 2*w**3 + 7*w**2\/2 - 5*w = 0 for w.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3355 * -2.3\nAnswer: -7716.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 2d311?\nAnswer: 2d314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 640228*z**3\/7 - 640225*z**2\/7 - 3*z\/7 = 0.\nAnswer: -3\/640228, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/((-176)\/110)*6\/(-10). Which is the third smallest value? (a) -25 (b) -1\/6 (c) w (d) 3\/8 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66971 >= 16139832\/241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -2. Suppose 0 = c*b - 2*f - 419, -4*b + 3*b + 3*f + 76 = 0. Suppose -80 = -5*k - 3*q, -5*q + b - 21 = 3*k. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3360 = 195*l + 4*l - 4401. Solve l*q + 47 = 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7634 and 2.\nAnswer: 7634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47055227 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6507867 + 16*p**3 - 17*p**3 + 6507867.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5 = 4*r - 15, -2*f - 3*r = -15. Suppose f = 15*g + 164 - 764. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, 2, -15.\nAnswer: -15, 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1211 * -0.152.\nAnswer: 0.0184072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a day in minutes?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79813536581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -18.4. What is the biggest value in 0.5, 1\/6, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22107 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 80960124 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/134709 or -1?\nAnswer: -1\/134709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -43.05. Let x = z + -0.35. Let b = -8.29611 - x. Round b to 4 dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59555\/33 + 1805. Let r = 0 + 0. Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 11, o: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g**3 - 198*g**3 - 41*g**3 - 5*g**2 + 5*g**2 + 83*g**3.\nAnswer: -122*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5012, -10004, -14996, -19988, -24980, -29972?\n\"Answer: -4992*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o - 5. Let b be p(4). Let k = -18 - b. Solve 0*u - 3*c = -3*u - 3, 3 = u - k*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 0*y**3 + 76*y + 0*y**4 + 1 - 113\/2*y**2 + 11*y**5. Differentiate n(c) wrt c.\nAnswer: 660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*h - 13891, -a - 7*h + 4629 = -5*h. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - db0?\nAnswer: -db2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p**2 - 210*p - 4. Calculate o(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/90*-10)\/((-6)\/(-36)*-28).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 2*n - 1. Let w = -5 + 7. Let m(q) be the first derivative of -5\/3*q**3 + 6*q - 11\/2*q**2 - 3. What is w*m(p) + 11*t(p)?\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -152, -325, -550, -851, -1252, -1777?\n\"Answer: -4*n**3 - 2*n**2 - 139*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0*h**4 + 0*h**5 + 0 + 1\/15*h**6 + 0*h**3 - 3\/2*h**2 + 2*h. Differentiate y(z) with respect to z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231450044 divided by 570074?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2\/9 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16 and -2871.8771.\nAnswer: -2887.8771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 + -4.91. Let l(v) = -v**2 - 1. Let k be l(-1). Let r be 0 + (k\/5)\/(-2). Which is the third smallest value? (a) r (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -14, -5*q + 6638 = 4*m - m. Calculate the lowest common multiple of m and 2.\nAnswer: 4402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 2:25 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 6*b - 1. Let p(g) = 3*g - 2. Let c be p(-5). Let n = -13 - c. Let s be n*1\/2 - 8. What is x(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 307 and -17.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oigoogeoooooiiio. Give prob of sequence gogo.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/32 and -101\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -223.9329 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 13*k + 71 + 7*k**2 - k**3 - 52 + 6*k**2. Let t be m(14). Solve 4*d = -4*y - 4, 2*y + 5*d = -0*d - t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 68.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -x + 3*x - h, 4 = x + 3*h for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13931?\nAnswer: 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -3 - 0 - -13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1123943 times 85\nAnswer: -95535155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**6\/360 + j**5\/10 + j**3\/3 + 54*j - 117. Let f(c) be the third derivative of k(c). Let i(v) = -3*v. What is i(f(q))?\nAnswer: 3*q**2 - 36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -26.93 * -81\nAnswer: 2181.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 147 * -1.1.\nAnswer: -161.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 6. Factor -17*t**3 - 7*t**m - 33*t**2 + 0*t**3 - 6*t - 9*t**4 + 12*t**2.\nAnswer: -3*t*(t + 1)**2*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*m - 155 = 0, -6*m = -3*o + 71 - 5. Suppose 2*i - s = -0*s + 8, 2*s - 9 = -i. Calculate the highest common divisor of o and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6 - 136*c + 0 - 2.\nAnswer: -136*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 103*h + 540. Give t(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8 + 5 + 62*w - 64*w. Let k(m) = -m - 2. Let d(a) = -2*f(a) + 5*k(a). Calculate the lowest common multiple of 5 and d(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2 + 8. Suppose -2*h - 5*p + 93 = 0, -4*h + 0*h = t*p - 194. Find the common denominator of h and -30\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 197731\/20 + -9883. Let q = -561365\/44 - -12759. What is the common denominator of q and j?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86098.6 millennia to decades.\nAnswer: 8609860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 114 times -0.4959\nAnswer: -56.5326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.9496 - -0.0504. Let y = -74 - -84.8. Let d = y - 11. Which is the second smallest value? (a) -0.04 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.1, 4, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708192*h + 16 = 3*l - 708196*h, -4*h = -4*l + 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:38 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = r - 4*r + 43, -63 = 2*k + r. Let v = k - -46. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*j**2 - 102*j**2 + 52*j**2 + 96*j)*(5 - 5 - j) in the form t*j**3 + s*j + y*j**2 + c and give y.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*c**4 - 3632*c**3 + 6*c**2 - 9*c + 235 wrt c?\nAnswer: 360*c - 21792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267.16 - -267. What is the third smallest value in q, -1\/7, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3471351 weeks to days.\nAnswer: 2.4299457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1309)\/110 + 12)\/(1\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3438 divided by 9.\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**5\/10 + 3*h**4 - 13*h - 11. Let w(p) be the first derivative of f(p). What is the third derivative of w(b) wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**8\/84 - 73*f**7\/21 + 3*f**4\/8 + 10*f**3 + 2*f**2 + 336*f. Find the second derivative of m(g) wrt g.\nAnswer: -80*g**3 - 8760*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/40)\/(2\/(-40)). Let q = 0 - w. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17894 + 17893.83989. Let z = 0.5 + -0.34. Let f = n + z. Round f to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80292 and 8544.\nAnswer: 57167904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*t = 63628 - 1568, 2*t = -3*r + 37246. What are the prime factors of r?\nAnswer: 2, 3, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 909 and 18?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -198, -309, -426, -549?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*i**2 - 30833468*i\/3 + 92593.\nAnswer: -(i + 277779)*(111*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 22*b - 86. Let c be t(-5). Let d = 8 - 5. Let r = -14 + 9. Sort 4, r, c, d.\nAnswer: r, c, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -365039062*c*w + 29*c + 4270075 with respect to w.\nAnswer: -365039062*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-4)\/((-8)\/(-10)). Let a(n) = -70*n**2 + 36*n**2 - z*n + 41*n**2. Let i(s) = 2*s. What is a(i(y))?\nAnswer: 28*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 0. Suppose 5*g + 0 - q = 0. Solve o = g*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144 + 143. Suppose -7*u = 6 + 8. Put u, n, 1, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**5\/10 + 13*d**4\/24 + 1283*d**2. Let l(p) = -p**2. Give l(c(m)).\nAnswer: -36*m**4 + 156*m**3 - 169*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7165568\/175 > -40946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 561238 or 560754?\nAnswer: 561238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38812, 38946, 39168, 39478, 39876, 40362, 40936?\nAnswer: 41598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 7*b**2 + 5*b - 1. Let x be p(-6). Suppose 3*m = x*m - 10. Suppose -m*f + 45 = -20. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.8832 rounded to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 + -49. Suppose 0*g = -5*g + v. Find the first derivative of -3*r**2 + r**2 + 3 - g wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6705.905 in 5, 1, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 + -447. Let y = 702 + c. Calculate the remainder when y is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-28))\/((-378)\/48).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45, -77, -129, -201, -293, -405?\n\"Answer: -10*v**2 - 2*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 44*w**2 - 33*w - 51. List the prime factors of u(-44).\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 0.5, -4, -1, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 - (22 + -22). Let f(s) = 11*s**3 + 2*s**2 + 8*s + 7. Let m(x) = -x**3 - x**2 - x - 1. Let i(a) = b*f(a) + 6*m(a). Is i(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1180.038076 - 54.242944. Let f = 1239.38 + s. Let w = f + -5.1. What is w rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2307817539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145903*i**6 - 3*i**2 + 21833.\nAnswer: 17508360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46332 and 6552.\nAnswer: 648648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7037?\nAnswer: 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -3*l**6\/40 - l**5\/30 + l**4\/24 + l**3\/6 + l**2. Let c = 148 - 151. Is w(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11213855*g**2 + 8*g + 317631682.\nAnswer: 22427710*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxvvxvaxvavxvvvvv. What is prob of sequence aax?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1287217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d - 5*d - 29*d to p + t*d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36.7 - -2.7. Let n = 33.8 + g. Let v = 7 - 2. Sort 4, v, n in decreasing order.\nAnswer: v, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -43. Let s(a) = a**3 - 2*a**2 + 12*a - 17. Let u be s(0). Is u > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 75 = 78 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -8, -3\/2, 1\/26?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -4*y + 437. Let t be y\/6 + (-1)\/3. Calculate the greatest common divisor of t and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54337, -54338, -54339?\nAnswer: -54340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -350, -502, -654?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(637) - -6*(sqrt(13) + 1) - (4 + sqrt(117) + sqrt(52) + -2))**2*-4.\nAnswer: -25232 - 704*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 459, 456, 443, 414, 363, 284, 171?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 21\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*f - 11, 47*i - 17 = 5*f + 46*i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.78344 nanometers to micrometers.\nAnswer: 0.07778344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34.14 + 33.64. Let p = -10 - -12.3. Let a = p - 2. What is the nearest to 2\/7 in a, 4, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 m when four letters picked without replacement from rmmrmrmrmrmirmmrmm?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/((-12)\/294*(-3)\/(-4)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*r**5 + 18*r**3 + 188*r.\nAnswer: 160*r**3 + 108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 7. Suppose -c*d + 52 + 173 = 0. What are the prime factors of -4 + d + (-1)\/(-3)*3?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*h - 7*h + 18*h + (0 + 3 - 2)*(2*h - 2 + 2 + (-2 + 2 - 4)*(2 - 2 + h)).\nAnswer: 27*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvm when three letters picked without replacement from {t: 7, r: 4, m: 1, y: 3, v: 1, c: 4}?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14 + -1 + 2 + 3. Let v be 2\/(-6) - (-330)\/q. Suppose 26109*u = 26116*u - 21. Solve -z + u*z - 3*b = 5, 0 = -3*z - 4*b - v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**14\/g**(-2\/9))\/(g**25*g**23) assuming g is positive.\nAnswer: g**(-304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18499 is divided by 1252.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 6*s**2 - 5*s - 8. Let q = -11 + 18. What is the smallest common multiple of 2 and v(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33680 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g. Let n be ((-1)\/10)\/((-9)\/(81\/6)). Let y(p) be the third derivative of 0*p**4 + 4*p**2 - n*p**5 + 0*p + 0 + 0*p**3. Give o(y(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62274, -124559, -186844?\nAnswer: -249129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -5 in decreasing order.\nAnswer: 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 4*h - h)*(-54*h + 58*h + 2 - 80*h - 238*h).\nAnswer: -314*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-198))\/((-4)\/(-44)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 10*l**3 - 3*l**3 + l**3.\nAnswer: -12*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 8, -3 in increasing order.\nAnswer: -25, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/24 - (-115)\/520?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, g: 5, d: 4}. What is prob of picking 1 d and 1 g?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -69513899 divided by -29\nAnswer: 2397031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**3 - c**2 + 1. Let o be p(1). Differentiate -4*d**2 - 252*d + 252*d - o with respect to d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-168)\/20 - (-4)\/10)*-8. Is u < 40\/651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*u**2 + 0*u**5 + 9*u**5 - 3*u**5 wrt u?\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6246 is divided by 874?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -9636*d**3 - 219*d**2 + 219*d + 219. Let o(g) = 219*g**3 + 5*g**2 - 5*g - 5. What is -5*h(p) - 219*o(p)?\nAnswer: 219*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 + -3. Let h = 0.5 + p. Let r = -0.12 + -4.88. Which is the closest to -2? (a) h (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (15 + -50 - -32).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 - 56 = -8*h. Calculate the least common multiple of 30 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530 (base 6) in base 12?\nAnswer: 2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22*(-14)\/6083)\/(14\/7).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002071 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**8\/336 - z**5\/20 - 4*z**2. Find the third derivative of c(y) wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107822959 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, -0.5, -1353\/85, -5\/4 in decreasing order.\nAnswer: -0.3, -0.5, -5\/4, -4, -1353\/85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-15) - 23\/(-5). Let c be (3\/f)\/((-6987)\/34). Let n = -1348\/7535 + c. What is the common denominator of n and -51\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -134.\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 d when four letters picked without replacement from ldddll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-80.1\nAnswer: 32.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**5\/20 - s**4\/3 + 11*s**3\/6 - 5*s**2. List the prime factors of z(-5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -215*l**2 - 9*l + 1. Let n(u) = 431*u**2 + 23*u - 3. Determine 2*n(v) + 5*w(v).\nAnswer: -213*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 - 75*d**2 + 20*d - 54. Does 14 divide j(-38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2987813 plus -15300059?\nAnswer: -12312246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 4*q**2 - q - 1. Let s(f) = f**3 - 8*f**2 + 6*f + 3. Let j be s(7). Let i be c(j). Factor -r + 3 - 2*r - 3*r**2 + i*r.\nAnswer: -3*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.654 - -1.954. Put -4, j, 9\/16 in descending order.\nAnswer: 9\/16, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 27. What is the remainder when -252*((-12)\/14)\/3 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l + 228. Let p be 16\/(-88) + l\/11. Solve 8 + p = -2*d - 3*z, 0 = -4*d - 5*z - 23 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 2*v - 14, 22736*v - 3*n - 70 + 78 = 22737*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.115 and 88327.533.\nAnswer: 88327.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.239617ml?\nAnswer: 0.008239617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6c702 (base 13) to base 3.\nAnswer: 21100202001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-54)*36\/(-32)*8\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.020589*300\nAnswer: 6.1767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = -3*m. Let a(y) = -m*y - 4*y + 6*y + 2*y. Let j(r) = 5*r**2. Determine a(j(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2614761814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -409503034 divided by -2?\nAnswer: 204751517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 54. Let r(h) = 200*h**2 - h + 69. Calculate u(r(x)).\nAnswer: -200*x**2 + x - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 56. Let j = o - 33. What is the highest common factor of 24 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.81, -0.5, -0.4, -205, 0.2 in increasing order.\nAnswer: -205, -0.5, -0.4, 0.2, 0.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 d, 1 a, and 1 g when four letters picked without replacement from dqdppdqppgdgqdgqgdda?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f**2 - f + 2. Let o(i) = 39*i**2 - 123*i + 12. Let v(y) = o(y) - 6*s(y). What is g in v(g) = 0?\nAnswer: 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140*((-3220)\/(-9800) + 5\/70).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(272) + sqrt(272) + sqrt(272)*-1).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(4000) + -4*sqrt(4000)))\/(sqrt(48)\/(4*sqrt(384))).\nAnswer: -3840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22102012032 (base 4) to base 9\nAnswer: -5057553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 69 (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*u - 2569, 3*w = 3*u - 847 + 2392. Calculate the lowest common multiple of w and 1026.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**4\/24 + 7*c**3\/18 - 2*c**2\/3 - 8*c\/3 + 288. Factor i(q).\nAnswer: -(q - 4)**2*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**4\/2 + 8*r**3 - 47*r**2 + 120*r - 680. Factor z(j).\nAnswer: -2*(j - 5)*(j - 4)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16558074?\nAnswer: 2, 3, 13, 103, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*l**3*r**3 + 6*l**3*r**2 - l**2*r**4 + 3*l - 3*r**4 + 3*r**2 wrt r?\nAnswer: 54*l**3 - 24*l**2*r - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -17.5. Which is the third smallest value? (a) 2 (b) l (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.5647km to millimeters.\nAnswer: 49564700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4887 is divided by 258.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2285384, -9141452, -20568230, -36565718, -57133916, -82272824, -111982442?\nAnswer: -146262770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 1\/30*h**6 + 0*h + 5 + 0*h**5 - 3\/2*h**2 + 0*h**3 + 0*h**4. Let a(z) be the second derivative of x(z). Factor a(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-8)\/(-204))\/((-4)\/884).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 46\/5 of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -2\/7253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2972\/2223 + -5\/171. What is the common denominator of q and ((-3)\/8)\/(2\/104)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168403, 167996, 167317, 166366, 165143, 163648?\nAnswer: 161881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 4*b**2 + 14*b + 10. Let y(x) = x**3 + 4*x**2 - 4*x - 1. Let g be y(-5). Let r be k(g). What is the third biggest value in -0.2, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/16 + 47\/(-34). Let k = 0.4 + -2.4. Let u be 7\/11*122\/427. Which is the closest to k? (a) u (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - a - 1808. Let x(b) = -4*b + 3. Give x(d(q)).\nAnswer: -8*q**2 + 4*q + 7235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**5\/60 - y**3\/6 + y**2\/2 - 3*y. Let d(n) be the first derivative of w(n). What is the first derivative of d(l) wrt l?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632*d - 220*d - 71632 = 541*d + 543*d for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/8 - 2)*-2. Let j(p) be the first derivative of -1\/3*p**3 + 2 - 2*p + 1\/4*p**4 - s*p**2. Calculate j(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 7*v**5\/20 - v**4\/12 + v**3\/6 - v**2\/2 - 4*v. Determine c(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6700 - 77711454.51\nAnswer: -77704754.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27578479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 105*v - 1908. Let c be q(19). Solve 80*n = c*n - 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4*v = 15, -66*s = -61*s + 2*v + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + g. Let v = -20007 + 20006. Let b(n) = n**2 + 3*n - 9. Calculate v*b(d) + 3*x(d).\nAnswer: 2*d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**3 + 3*f**2\/2 + 5*f. Determine j(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/6 (b) 0.1 (c) 3 (d) 2\/3 (e) 0.5 (f) -777\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) 1914 (c) 1 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*p - 1. Let s be 2 + -8 + (2 - 1). Suppose -3*w = -5*w - 4. Sort s, w, p.\nAnswer: s, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8\/u*u**1)\/(u*(u**1\/u)\/u*u\/u**(-4\/9)) assuming u is positive.\nAnswer: u**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5271926*g**4 - 2269*g - 120 - 64465527*g**3 - 26807*g - 44807446*g**4 - 2377307*g**2 + 21233*g**2.\nAnswer: -3*(4*g + 5)*(161*g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143 + 153. What is the third derivative of 9*h + 6*h**3 + 25*h - 2*h**2 + 7*h**5 - s*h**5 + 19*h**3 wrt h?\nAnswer: -180*h**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -16615034?\nAnswer: -16615026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.31 - -3.9. Round q to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 122*g + 121.\nAnswer: (g + 1)*(g + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 19*c = -k + 13, -4*k - 12 = 0. Find b, given that 1\/2*b**3 + 1\/2*b**2 - 1\/2*b**c - 1\/2*b + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6124305, -6124400, -6124495, -6124590, -6124685, -6124780?\n\"Answer: -95*x - 6124210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1376*m + 769*m + 797*m - 4 + 4.\nAnswer: 190*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/3 + 3134*(-2)\/789. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124739138 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o*t**6 - 2*o*t**3 - 38*o*t**2 - 173*o - 2392*t**3 - 9*t**2 wrt t.\nAnswer: -240*o*t**3 - 12*o - 14352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 2}. What is prob of sequence pap?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 690600 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 12602997 to the nearest 1000.\nAnswer: 12603000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 919ae?\nAnswer: 919ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4881\/378 - 13) + 2\/14 - (-3)\/(-54).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 175 - 337 + 172 - 79*l - 3*l as t + x*l and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 7*h**2 + 59*h - 10. Let z be m(-12). Let v = -7 - 20. Let p be v\/(-6) + 2\/4. Solve -p*a = z*c - 14, -4*c + 14 = 4*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 5:20 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.72714 to one decimal place.\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/15 + 1300*x**2 + 12998*x\/5 + 19496\/15 = 0. What is x?\nAnswer: -9748, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 3:46 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 130 + 128 - 255)*(-4 - 1 + 3)*(i - 8*i**2 + 5*i**2 + 7*i).\nAnswer: 18*i**3 - 30*i**2 - 48*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 116*y + 348. Let q be m(-3). Solve q = -3*r - r - 2*a - 12, -r - 12 = -4*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 2124?\nAnswer: 8496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 581 + -561. Calculate the highest common divisor of 540 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + f**2 - f + 2. Suppose u = 2*u. Determine x(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26919739 rounded to 3 decimal places?\nAnswer: -0.269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**1*n)\/n)\/n)\/n**18 assuming n is positive.\nAnswer: n**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.058 + -5.358. Let v = j - -1.3. Let p(w) = w + 6. Let r be p(-6). Put 0.3, r, v in descending order.\nAnswer: 0.3, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 3, t: 3, y: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrarrar.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180714466*l + 180714463*l - 17*l**2 - 361428930*l.\nAnswer: -17*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 j when four letters picked without replacement from ojojooo?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -2*j**3\/27 + 2*j\/9 + 3. Factor m(q).\nAnswer: -2*(q - 1)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1042118 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:47 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8041618.\nAnswer: 2, 13, 309293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42219.\nAnswer: 3, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 74?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 5*k**2 - 14*k + 8. Suppose 0 = 5*x - 4*h + 28, -6 = -3*x - h - 33. Let p(u) = -2*u**2 + 5*u - 3. Calculate x*p(w) - 3*m(w).\nAnswer: 3*w**3 + w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -235. Let b = -240 + a. Sort 1.1, 0.2, 3, b.\nAnswer: b, 0.2, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/4 + 1)\/(5\/661530*3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o**2 - 239453175*o - 43536942 = 0.\nAnswer: -2\/11, 7256157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -10827248.835?\nAnswer: 10827249.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 3044 = -3094. Solve 4*q = -d*l - 4, 5*q + 15*l = 19*l - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9926 - 0.12.\nAnswer: 9925.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 5*s - 3. Suppose -i = -2*b + 14 - 0, 5*i - b = -25. Determine d(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -22. Sort t, -4, -1, 3 in decreasing order.\nAnswer: 3, -1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 = 0, -2*i - 3*i + 4*b = 15. What is the units digit of 4\/(i + -3)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 (base 5) in base 14?\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -1585*u**7\/42 - 5*u**4\/6 + 11*u**3\/6 + 6*u**2 - 15*u + 52. Find the third derivative of b(t) wrt t.\nAnswer: -95100*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2595 divide 8758125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**2 + 3570*j - 606825 = 0.\nAnswer: 279, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-9)*(302 - -7) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778829941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 426976, 853951, 1280926?\nAnswer: 1707901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**3)**(-6)\/((v*v*v\/v**(-2\/17))\/v**(-2)) assuming v is positive.\nAnswer: v**(117\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6707, -53481, -180437, -427667, -835263, -1443317?\nAnswer: -2291921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0. Let w = 10 - 41\/4. What is the second biggest value in w, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2736) - (-4 + sqrt(2736)*-3 + sqrt(2736)) - ((0 + sqrt(2736))*2 - sqrt(2736)) - (1 + -5 + 4*sqrt(2736))))**2.\nAnswer: -3456*sqrt(19) + 99072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2. Let t(m) = -386*m**2 + 3*m - 38. What is t(f(h))?\nAnswer: -6176*h**4 - 12*h**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173 + 1504. Calculate the highest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)**(-2\/121))**(-33)*(v\/v**4*v\/(v\/(v*v**(-2\/13))))\/((v*v*v**(-3)*v)\/v*v**(-2\/17)) assuming v is positive.\nAnswer: v**(-5171\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144055358 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 124179\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -101*u - 1. Give w(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 1. Let f(w) = 5*w - 5. Let a(g) = f(g) - 4*y(g). Let c be (-7 + 1)*(12 - 13). Give a(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -10*u**3 + 140*u**2 - 487*u + 47. Give t(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 201 + -5?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12 = -3*n, -t + 5*n = -0*t + 22. Suppose 4*i + 7*k - 72 = 3*k, -k + 44 = t*i. What is the common denominator of 77\/4 and 15\/(-27)*i\/(-5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/20)\/((256\/60)\/(-4)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.676 * -16.3.\nAnswer: 11.0188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 - 222 = -9*x. Suppose 25 - x = -3*o. Suppose o*s - 3*s = 120. Calculate the highest common divisor of s and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*t - 5722 = -819*t + 3*z + z, -t + 3*z + 19 = 5*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69108 is divided by 69100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*y**2 + 286*y**2 - 1152*y**2 - 18*y**3 + 287*y**2 + 288*y**2.\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -131114 (base 6) to base 14\nAnswer: -44bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 158402412 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10221*g*o**3*y**3 - 15*g*o**3*y**2 + 4*g + 8*y**3 - 2195*y**2 + 2 wrt y?\nAnswer: 61326*g*o**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 0*v + 1\/2*v**4 - 9 + 2\/5*v**5 - 10\/3*v**3 + 3*v**2. Solve g(h) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21743 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 15*z + 8*z + 10*z in the form k + y*z and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -4356.79203 to the nearest one hundred.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 730.6622?\nAnswer: 146.13244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*u**4 - 2*u**3 + 23*u**2 + 65*u - 1549865.\nAnswer: 120*u**3 - 6*u**2 + 46*u + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/7643303?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c**2 - 9*c**2 - 21*c**2)*(17*c + 8*c + 11 - 20*c)*(-3 + 2 + 2) to z + v*c**3 + y*c + p*c**2 and give v.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1368 and 70281?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 30 (b) -16 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5366711.7s?\nAnswer: 8.87353125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/4 and -11\/447342.\nAnswer: 894684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43309870 is divided by 2625.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(78) + sqrt(78))\/((sqrt(6) - -2*sqrt(6)*-1 - sqrt(6)) + sqrt(6)).\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o*v**3 + o*v**2 + 16302939*o*v - 740224*v**3 wrt v.\nAnswer: -6*o*v + 2*o - 4441344*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3.95. Let b = i - 0.04999999. What is b rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3) - (-3632)\/24. What is the greatest common divisor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 16 - 4, 4*g = 2*h - 24. Solve -h*s - 36 = -48 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3876498 to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*i**2*r**2*v + 5*c*i**2*r*v - c*i*r - 2*c*r*v + 36*i**2*v - 8*i**2 + 44*i*r**2 + 72*r**2*v wrt r.\nAnswer: 2*c*i**2*v + 88*i + 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 - 69. Suppose f - 54 = 5*f + 2*r, 4*f = -3*r - 53. Let g = f - -36. Calculate the greatest common factor of t and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*w + 150*w + 618*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-20)\/(-30) + 1\/3). Suppose 5*b - 13 = q*k + 24, -b + k + 9 = 0. Let c(p) = -p + 3. Give c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2. Let i(o) = o**2 - 38*o + 108. Let p be i(35). Let u(a) be the second derivative of 0*a**2 + 0 - p*a + 1\/6*a**3. Calculate m(u(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*i + 1739 = 186*i + 7913 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 220113.16 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10817 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 60331776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*s - 6, 3*d - 6 = -0*s - s. Suppose -6*w - d*w = 32. Is ((w\/3)\/2)\/(54\/(-51921)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 83.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 4*w + 5*w)*(4 + 0 - 2) + (-2*w - 3*w + 3*w)*(-1 + 0 - 1) + 2 - 2 + 2*w + (-3 - 2 + 3)*(-4*w + 2 - 2).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -14, 1, -8312, -3, 9.\nAnswer: -8312, -14, -3, 1, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p + 4. Let a(t) = -2*t + 2. Let k(m) = 7*a(m) - 3*u(m). Let o be k(-4). What is the units digit of 13\/(o\/2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + -7 + 4 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 + 6588\/(-180))*40\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61\/50 + -18\/25. Let q(d) be the second derivative of -b*d**2 + 1\/48*d**4 + 0 + 7*d + 1\/8*d**3. Factor q(t).\nAnswer: (t - 1)*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-12)*-3*(-5)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1185 (b) 2 (c) 0 (d) -526\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-6) + 685\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 226177, -1, 0.3 in decreasing order.\nAnswer: 226177, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6744 + -6697. What is the remainder when 683 is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22451*s = 26311*s - 308800 for s.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 30790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(1 - (-12)\/(-3)). What is the greatest common factor of i and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**5\/20 - 11*s**4\/12 + 5*s**3\/3 + 13*s**2\/2 + 3*s. What are the prime factors of m(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -227 times -0.2\nAnswer: 45.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 307026 - 0.3\nAnswer: 307025.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-5 - -4) + 6 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7540 - 3506 = b. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169 - 159. Let n be (-54)\/(-10) + i\/(-25). What is the highest common factor of n and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -452099*l**4 - 385*l**2 + 3*l + 40 wrt l.\nAnswer: -10850376*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 10*t - 21 + 18*t + 294*t**2 - 23*t. Is c(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45913190 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-5)*(-1518)\/(-3168)*-20.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 - 3007 - 6181 = -417*c + 3060 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/41832 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 113?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10703 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*i)*(2*i - 2*i - 2*i**2) + 87*i**2 + 6*i**3 + 1413*i - 1411*i + 7*i**2.\nAnswer: 2*i**3 + 94*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76439\/26 - -2941. Let j = 435\/13 + a. Let o = 19\/1144 - 5375\/1144. Calculate the common denominator of o and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5022960 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23084, -92317, -207706, -369251, -576952, -830809?\nAnswer: -1130822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + 163 - 523 + 0*k**3.\nAnswer: -k**3 - 360","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q - 7 = -3*x, q = 5*x + 19. Let w be -3 + 3 + 0 - x. Solve 2*s**4 + 3*s**4 + 7*s**2 - 9*s**3 - s**5 - 2*s + 0*s**w = 0 for s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3425340?\nAnswer: 2, 3, 5, 57089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 1:27 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 2*r - 4. Let m(f) be the third derivative of -f**4\/24 + f**3\/6 - 33*f**2. Give -4*m(u) - z(u).\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 1559267986?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 - 1. Let n = -22 - q. Let s be 6\/6*(53 + -6). Calculate the highest common factor of s and n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/3)\/(-3)*(-2)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c - 9. Let t be s(-6). What is the highest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 225, -9, -399, -945, -1647?\n\"Answer: -78*h**2 + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 684065560 to the nearest integer?\nAnswer: 26155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 5*c + 33*c**2)*(16*c**3 - 19*c**3 - 6*c**3) + 2*c**5 + 2*c**5 - 3*c**5.\nAnswer: -296*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 61621*p**4 + p - 3*p**2 + 61618*p**4 + 6 in the form h*p**3 + x*p**2 + m + f*p**4 + d*p and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -18*i + 55. Give o(10).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 + -12 + (33 - -73).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-130)\/120 - 6\/(-8)). What is the remainder when 313 is divided by (-53 - -52)\/(q - (-2)\/(-42))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 77*i**3 - 3308*i**2 - 108*i - 730. Give q(43).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 7. Let l = -0.9 - m. Let h = 0.115 + -0.115. What is the closest to h in -0.2, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.04, -5, -2, -0.256, 2, 1\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + 0 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/128 and 41\/40.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1238863ml to litres.\nAnswer: 0.0001238863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c + 12*c + 12*c to q + b*c and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(3 - 0\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2107 - -1009. Let r = p + 1097.9999523. What is r rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**2)**(2\/39)*q\/q**1*q**(3\/5) assuming q is positive.\nAnswer: q**(107\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17820 is divided by 432.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -20. Let k(t) = -t + 10. Determine k(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 8) in base 2?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (637 + c - 1164 + 605)*(2*c - 2*c + 2*c).\nAnswer: 2*c**2 + 156*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3*6*(-58)\/(-116))\/1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/((-240)\/18) + 27\/45. Solve -3*d + h - 4 = n, -27*d - 4 = -31*d - h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6*18\/60)\/(-1*(-2)\/1510) is divided by 52.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -66. Suppose -3*a + 2976 = -5*d, -z*a = -3*a + 5*d - 1984. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 23*g**2. Let d(b) = -6*b**2 - 5. Let v(w) = -w**2 - 1. Let l(n) = d(n) - 5*v(n). Calculate l(k(t)).\nAnswer: -529*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -172 and -0.4?\nAnswer: 68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6 and (47\/(-12) + 0)\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 4536?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 592.6 + -595.5. Sort -5, n, 1\/6, -5\/6, -2\/13.\nAnswer: -5, n, -5\/6, -2\/13, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 13920290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**2. Let r(g) = 63*g**2 - 2. Determine r(x(m)).\nAnswer: 6300*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.29 and -35.29.\nAnswer: 10.2341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 3. Let c be b(-3). Let w = c - -15. Let q(z) = -z + 13. What is the units digit of q(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 9. Suppose 3*z - 5 - 7 = q. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-4)\/12 - -347. Let v = -221 + b. What is the least common multiple of 70 and v?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578449203.\nAnswer: 3, 192816401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -55 (b) 50 (c) 0.5 (d) -282\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(-9)*(-17016)\/28. Sort 2, f, -4 in descending order.\nAnswer: f, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*o*u - 8*d**2*o + d**2*u + 17*d**2 + 8*d + 307*o*u wrt d.\nAnswer: -4*o*u - 16*o + 2*u + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 9879152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-4))\/((-531)\/(-354))*(-2)\/715.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 2 = -7*y. Suppose -5 - 37 = -3*o. Suppose 7*j + o + 14 = 0. Sort j, y, -20 in ascending order.\nAnswer: -20, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 761.4344 tonnes?\nAnswer: 761434400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) -5.44 (c) -27\/2 (d) 12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-44)\/(d\/d**(-35\/3)) assuming d is positive.\nAnswer: d**(-170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*t = -5 - 0, -8 = 2*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7 - 6*j + 42*j + 4 - 20*j - 15*j. Suppose h = 3*h + 6. Let p be ((-8)\/(-6))\/((-1)\/(-6)). Let m(w) = 2*w - 8. What is h*m(l) + p*z(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 at least 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000010089 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p. Let c(b) = -8 + 10 - 2 + b. Calculate r(c(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*l - 0*u - 11, 15 = -3*l + 3*u. What is the remainder when 3\/15 - (-117)\/15 is divided by 8\/3 + (-1)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -590*l**2*p**3 + 2*l**2*p**2 - 7*l**2*p - 4*l**2 - 6023*l*p**3 - 11*l*p + 1 wrt l?\nAnswer: -1180*p**3 + 4*p**2 - 14*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**3\/7 + 1779*n**2\/7 - 5324*n\/7 - 7104\/7 = 0?\nAnswer: -1, 4, 1776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 108154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137662 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30856\/38545 - 4\/7709. Factor 0*r**2 - 4\/5*r**3 + 0 + 0*r + f*r**4.\nAnswer: 4*r**3*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 11. Let h be g(-10). Let r be (9 - h)*(-2)\/4. Let c = -3 - r. Let d(p) = p - 2. Determine d(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*d + 7, -2*d + 14 = 2*q + 2*d. Let s(n) = 2*n**2 - 2*n - 17. Does 21 divide s(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84979.3300081 + 84980.53. Let s = k - 1.2. Round s to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 2*y + 561 + 61*y**2 + 1870.\nAnswer: 61*y**2 + 2*y + 2390","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/(-4) + 14\/(-21) and (-4 - 324\/(-80)) + (-5)\/20.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1282261 greater than -1282261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyyyollyllyyyly. Give prob of picking 1 o, 2 y, and 1 l.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**2\/(c**4*c))**(-11))**(37\/2))**(-1\/51) assuming c is positive.\nAnswer: c**(-407\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 210, 305, 384, 441, 470?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-14)*(154\/(-21) + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 433657 by 10577.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11169791?\nAnswer: 71, 157321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221100 - -3100?\nAnswer: 230200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (13 - (0 - (0 - 19))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - f**2 + f + 8. Let s be z(0). Let c be s\/(-6)*(-6)\/4. Let r(m) be the first derivative of m**3\/3 + m**2 + m + 596. Determine r(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = -156. Suppose 4 + 22 = p. What is the highest common divisor of q and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-80)\/4*(-28)\/150 and 1 + (-122)\/(-6)*(-9)\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1415, 1295, 1175?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6360)\/(-35) + 8\/28.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*n - 1042 - 1301 = 0. What is the remainder when 282 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -2*l - 22, 352*l + 9 = 348*l - 3*f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 4 = 2*n. Let o(k) = -15*k + 12. Let q be o(n). Suppose -2*w = 4*c - q, -3*c = -2*c + 4*w - 58. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 10*q - 2088. Let o(x) = 348*x - x**2 - 2*x**2 - q*x. Let n(w) be the third derivative of 13*w**5\/60 + w**2. Calculate o(n(l)).\nAnswer: -507*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 + 0.46. What is the closest to -2 in 2\/5, y, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/17, 4, 377 in descending order.\nAnswer: 377, 7, 4, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 4*i. Let c be t(2). Suppose 2*j - 4*v - 12 = 0, -2*v = -c*j - 6*v + 72. Suppose 3*y - 664 = -y. What is the remainder when y is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*z**3\/3 + 8222*z**2\/9 + 6656*z\/9 + 280\/3 = 0. What is z?\nAnswer: -42, -2\/3, -5\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i - 1. Give o(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1058 + 1999. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 9*a - 8. Let q be z(-6). Let c be ((-24)\/60)\/((-2)\/q). Suppose 0 = -l - c*l. Solve s + 2*s = l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 2*m - 5*m - 2, 6*m - 44*o + 18 = 45*o - 92*o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 8. Suppose -2*q + 3*i = -22, 3*i + 32 = 5*q - 5. Solve -21 + 3 = q*c + 2*y, 2*y = v*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166657 <= -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**3\/6 - j**2\/2 - 15*j. Let v(p) = p**3 - 4*p**2 - 7*p + 7. Let t be v(5). Let w(l) = 9*l - 8. Give t*w(q) + 24*s(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 121230 (base 4) to base 15\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*i + 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v - 3*u - 0, -3*v = 5*u - 10. Suppose 2*d - 4 = -4*g, 4*g = v*d + 2*g - 10. What is the highest common factor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/10)\/((-140)\/(-6600)*22).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*g + 41, -4*g - g = -5*i + 5. Suppose i*j = 36 + 19. Does 7 divide 3240\/88 + 2\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1494)\/(-63) + 4\/14. Suppose p - d = 2*p. What are the prime factors of p*5\/(15\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4092 is divided by 1103.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.999949 + 25. What is s rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79220764 to the power of 1\/2, to the nearest integer?\nAnswer: 8901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24061948 and -3?\nAnswer: 72185844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7)*t*t*t)\/t*t*t**(-26))\/(t*t*t**(-3\/5))**(-44) assuming t is positive.\nAnswer: t**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 3*j**5\/25 + 189*j**4\/20 + 182*j**3\/5 + 36*j**2 - 1180. Factor g(x).\nAnswer: 3*x*(x + 1)*(x + 2)*(x + 60)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**4\/12 + 4*b**3\/3 - 4*b**2 - 7*b. Let n = 22 - 16. Let m be s(n). Solve -w = m*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - ((-216)\/(-1))\/2. Let l = m - -158. Let j = 9 - -16. What is the remainder when l is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 372, -3\/2, 0.04, 4 in descending order.\nAnswer: 372, 4, 0.04, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3456240 to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times 0.064\nAnswer: 0.01024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k. Let w(s) = s**2 + 3*s + 2. Let n be w(-3). Let f(o) = o**2 + 3*o - 3*o - 2*o**n. Give v(f(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63835740 - 92617271. Let k = -28781543.999987 - v. Let r = k + 13. What is r rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950849548 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 626625 and 1.\nAnswer: 626625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -10, 10, -2 in ascending order.\nAnswer: -10, -2, 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsbtbttbbvtlusultb. What is prob of picking 1 t and 1 u?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-5))\/(68\/20). Let f = 0.6 - 0.3. Put f, -4, i in ascending order.\nAnswer: -4, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2. Let n(s) be the first derivative of -s**4\/4 + 4*s**3\/3 + 7*s**2\/2 - 4*s - 2. Let a be n(5). Let x(v) = a + v - 6. Determine z(x(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1183 and 135520.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14257 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3402310244 (base 5) to base 11.\nAnswer: 4238237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in minutes?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 2*r + 3. Let w(m) = -m + 1. Let a be 1\/((-288)\/40 - -7) - -4. What is a*o(t) + 3*w(t)?\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k**3 + 7735*k**2 + 26*k**3 - 7735*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -17*x + 107. Let v(a) = -4*a + 27. Let p = -9004 - -9002. Give p*j(q) + 9*v(q).\nAnswer: -2*q + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 14. Let x be r(-13). Let n = x - -42. Solve -n*i = 1 - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -70 (b) -2\/7 (c) -4.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9940 is divided by 915?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3213 times -7.6\nAnswer: 24418.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 6. Let q be 240\/36 + (-2)\/(-6). Let n be z(q). Is n bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-7 - (-11 - -23 - 28) - 13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-28))\/(i*i\/(i\/(i\/i**(2\/71)))*i*i*i*i))\/((i*i\/(i\/i**33))\/((i\/(i\/(i\/(i*i**(-10))*i))*i)\/i*i)) assuming i is positive.\nAnswer: i**(73\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/15105 and 46\/2170085?\nAnswer: 6510255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34\/79 - 1726\/395. Find the common denominator of -47\/2 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/2, 0.12, 4.7929, -5 in ascending order.\nAnswer: -11\/2, -5, 0.12, 4.7929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q - 4*q - 6*q**2 + 4*q. Let i(d) = -d**2. Determine t(i(m)).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-12))\/(13\/(234\/12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -84*w**2 - 9*w + 60. Let r(q) = -21*q**2 - 2*q + 15. Let i(z) = 2*j(z) - 9*r(z). Differentiate i(c) with respect to c.\nAnswer: 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9262598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.079749 millilitres to litres.\nAnswer: 0.004079749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 599203524 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14260 + 10.6.\nAnswer: -14249.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -100, -4\/5, -1\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74065.58ng in grams?\nAnswer: 0.00007406558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012170337 rounded to 6 dps?\nAnswer: -0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 59. Let f be (-98)\/(-4) + 1\/(-2). Let p = m + f. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + n**2 + (1 - 5 + 2)*(0 + 0 + n)*(-5*n + n + 8*n) to the form m*n + z*n**2 + o and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 2 + 0*a**3 - 2*a**3 - 3 wrt a?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 0.100352277529138?\nAnswer: -0.399647722470862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (9 - (-20 + 3 - -23)) - (0 + 62)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -33. Suppose 3*s - 109 = -5*j, -3*s - 31 = -3*j + j. Let p = j - i. Solve 5*t = -2*r - 13, 4*r = 3*t - r - p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4, 162*n - 164*n + 4*f = -10728. What are the prime factors of n?\nAnswer: 2, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 1:34 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*w - 31 = 0, 4*h - 2*h = 5*w + 60. Suppose 2*c + 75 = -s + 6*s, -4*s + 20 = 0. Let k = -18 - c. What is the highest common factor of k and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/9 in -0.3, -6, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1115+-13\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*w - 9. Suppose 3*z + i + 21 = 0, 5*z - 3*z + 4*i = -w. Let j(v) = -8*v - 3. Is j(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1448 - 1448.5. Suppose 0*p - 5*p = -25. What is the closest to 0 in b, -2\/17, p?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*a - 473*a**3 + 921*a**3 + 10 - 461*a**3 + a**2 - 8*a**4 + 20*a in the form g + v*a**2 + y*a + c*a**3 + j*a**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7488, 7489, 7490, 7491, 7492, 7493?\n\"Answer: q + 7487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -11*w**6\/20 + w**5\/15 + 103*w**3\/3 - 125*w**2 + w. Differentiate t(o) with respect to o.\nAnswer: -198*o**2 + 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 10101101101110101011111?\nAnswer: 10101101101110101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125399 is divided by 172?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.018 - -0.018. Sort 4, 0, v, 1\/2 in increasing order.\nAnswer: v, 0, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -941288.\nAnswer: 5\/941288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14984*f - 278. Is b(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b - 4. Let r be g(3). Let d = r + -17. Sort 4, d, 2 in descending order.\nAnswer: d, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five quarters of a gram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f + 48. Let n be v(8). Let w(d) = -10*d + 146. Let k be w(n). Let y(i) = i**3 + 15*i**2 + 14*i + 7. What is y(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-594)\/104 + 17*(-132)\/(-4862)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-14) - ((-4324872)\/168 - 24) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1275\/7 - (-50)\/(-350). What is the greatest common factor of 126 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 18. Let b be p(-9). Let r(v) = -v**3 - 10*v**2 - 11*v - 13. Let i be r(b). Solve -i*h + 15 = -0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*y - 0. Suppose 6 = -y*z - 0. Let u = z - 1. Is u > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4506373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019039205 to 7 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 571159308?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -31379 times 32\nAnswer: -1004128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1417, -2836, -4255?\n\"Answer: -1419*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 806004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -49*a**2 + 299*a + 3. Determine q(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2978*c*f - 294*c - 14031*f + 8 wrt c.\nAnswer: 2978*f - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 + 28*m\/11 + 30\/11.\nAnswer: -2*(m - 15)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*d - 4*a, 13 = 4*d + 133*a - 136*a. Calculate the remainder when 98 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105146*c*h**2 - 401*c*h - 29*h + 2 wrt h?\nAnswer: -210292*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*z + 202918, 5*z = 39*u - 41*u + 405831. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 106.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2057) - 5*sqrt(2057)*1) + -2*(sqrt(2057) + -1 + sqrt(2057))*2)**2.\nAnswer: -2376*sqrt(17) + 296289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m + 21. Let r(v) = -2*v + 11. Give 4*j(b) - 7*r(b).\nAnswer: -2*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, e: 1, s: 1, b: 1, u: 4, v: 5}. Give prob of picking 1 a, 1 b, and 1 e.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 139159 and 1271.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f*n*w**3 - 2*f*n*w**2 + 12*f*w**3 + 2*f*w**2 - 4*n*w**2 + 28*w**3 + 10 wrt w?\nAnswer: 12*f*n + 72*f + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*q - 143*q + 144*q + 13884 = 0 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(539) - (sqrt(11) - (sqrt(11) - (sqrt(11)*-1 + 0)))**2)*-6.\nAnswer: -42*sqrt(11) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35409877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y + 2. Let s(w) = 7*w - 2. Let v(g) = 3*o(g) + 4*s(g). Let d(f) = f - 3. Let r be d(5). What is v(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**3\/6 + 5*i**2\/2 + i. Suppose -3*n - 16 = -2*w + w, 28 = -5*n + 2*w. List the prime factors of b(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (sqrt(99) + sqrt(99)*1)*-1).\nAnswer: -16 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 12:37 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {o: 1, b: 1, t: 1, v: 2, r: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 11*z**2 + 14*z - 21. Suppose 3*t + 2*y - 13 = 0, 2*y + y = -3*t + 15. Let i(f) = f**3 - 4*f**2 + 9*f - 6. Let a be i(t). Is q(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1005375257*u**4 + 1470052598 with respect to u.\nAnswer: -4021501028*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1715849909?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 9.4. Let j = -5 - -3.9. Let h = j - q. Round h to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(6\/9)*-2. Let x be 2*(1 - 0) - q. Suppose 5*k = -y - 5, -2*k - 27 = -x*y + 29. Calculate the greatest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 0 - -3*1. Suppose 4*r = f + 70. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -44. Solve -3 - 6 = -y*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(14\/6 - 0). Let k be (12\/y)\/(-2)*-7. Does 7 divide (-18)\/(-4)*1*k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -972 (base 13) to base 7.\nAnswer: -4464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15801 - 1870. List the prime factors of b.\nAnswer: 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 - 232. Suppose -55*s = -y*s + 77. Solve -5 + 0 = 5*z, 5*l = z + s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000065507 to seven dps.\nAnswer: 0.0000655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f. Let k = -995\/6 + 166. Let v(y) be the second derivative of k*y**4 + 0*y**2 + 0*y**3 + 0 + 6*y. Determine v(x(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*f - 14*f**3 + f - 5*f + 18*f**3 - 1 - f**2 to g*f + c*f**3 + n + l*f**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -27*r + 13*r + 13*r. Let b(f) = -f - 7. Let l be b(-5). What is u(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/2 + 6315*r**3 + 13343499*r**2\/2 + 53071260*r + 105940824.\nAnswer: 3*(r + 4)**2*(r + 2101)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-nine fifths of a microsecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from {o: 1, l: 1, c: 1, a: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -250*b**2 + 1695*b - 1695*b + (-2*b + 4*b - b)*(0*b + 2*b + 3*b).\nAnswer: -245*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 + (46 - 3). What is the greatest common divisor of 22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (15 - 3) + (-5 - (-13 - 130 - -14)).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 673.338l?\nAnswer: 673338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 31. Let x = -173145\/2 + 86573. Which is the nearest to 0? (a) x (b) 2\/13 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + m**2 - 24*m**3 + 1 - 1 - 5*m + 23*m**3 as f + h*m**3 + x*m**2 + d*m and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17 - 8)\/(3 - -4) + -1)*4?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 676*(-9)\/(-252) - 18\/(-21).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -21. What is the smallest common multiple of 3 + (-22)\/(-8) - 2\/(-8) and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3475 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 v when three letters picked without replacement from {m: 3, l: 4, v: 9}.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2574, 2572, 2568, 2562, 2554?\nAnswer: 2544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/9 + (-762)\/(-27) + -3. What is the second derivative of 6*d**3 + 3*d**3 - 9*d**3 - j*d**5 - 6*d wrt d?\nAnswer: -500*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1410 is divided by 249.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1172*b = -5*c - 1174*b + 4551, b = 5*c - 4557. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 22 = 2*i, -11*i + 14*i + 3*m = 21 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1148893 and 118851?\nAnswer: 3446679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2 - 68*p - 58*p + 128*p. Let h(i) = -81*i - 102. Let v(k) = 12*d(k) - h(k). Differentiate v(m) with respect to m.\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 53 (b) 0.5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 9 = f, -s = 4*f - 230 + 259 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6949406.\nAnswer: 2, 101, 34403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 67 in 1, -617, 4.1?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(-6\/17)*y**3\/y assuming y is positive.\nAnswer: y**(62\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 84 - 12*j**2)*(-3*j**3 - j**3 + 3*j**3) + 26*j**3 + j**5 - 26*j**3 - 89*j**3 + 6*j**5 + 89*j**3 + (-2 + 2 + 2*j**2)*(-4*j**3 + 2*j**3 + 0*j**3).\nAnswer: 15*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*sqrt(5) + (sqrt(20)*-5)\/sqrt(4).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 487602181 and 2101?\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 7 = 19. Suppose 3*r - 3 + 2 = c*b, -5*b = 3*r - 29. Suppose v - 3 = 0, 5*j + 4 + 0 = 3*v. Solve -b*o = 3 + j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.52 - 0.22. Which is the closest to -1? (a) 0.2 (b) -2\/33 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*a + 6. Suppose 2*x = -2*x + a. Suppose 18 = x*c + 16. Solve 0 = -l + c + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1497 - 0.3503. Suppose 2*y = -2*y + 40. Let x be 6\/75*y\/2. Which is the third smallest value? (a) t (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2308\nAnswer: -1\/1154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 6*u = 2*u, 0 = -10*i + 12*i - 5*u - 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 20*r + 7 - 113*r + 12. Is n(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44388538 + 26258050. Let v = 11430488 + k. Round v to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.072 + -0.072. Let j = 10.4 - m. Let o = j - 9.9. Which is the third biggest value? (a) 0.8 (b) 2 (c) 0.4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1333, -1492, -1733, -2056, -2461, -2948, -3517?\n\"Answer: -41*b**2 - 36*b - 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/4*5\/5. Suppose k = -13*i + 27 + 12. Let p(j) = 5*j - 6. Determine p(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 + 124. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18922 + 18919. Let j(b) = 58*b + 176. What is j(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392243464?\nAnswer: 2, 739, 66347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -17*z - 6. Suppose 1356*p - 675*p = 675*p + 432. Calculate the smallest common multiple of x(-6) and p.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.8 and 38.140027.\nAnswer: 68.6520486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 20*g**2 + 1\/8*g**4 + 0*g + 1\/6*g**3 + 0 + 1\/20*g**5. What is y(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 140. Let n be 86\/18 + (-18)\/s. What is the third derivative of -17*w**2 + 2 - 6*w**n - 2 + 0*w**2 wrt w?\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/35 - 12\/35. Let w = 2.9 - 3. Let n = w + -0.1. Put k, -2\/15, n in increasing order.\nAnswer: k, n, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3964764890.\nAnswer: 2, 5, 1637, 242197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1082988014 to the nearest 10000.\nAnswer: -1082990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 s when four letters picked without replacement from uscskuccskucccukuu?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.729048 nanograms in grams?\nAnswer: 0.000000006729048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12458 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*c + 19742, -i + 10477 - 624 = -5*c. What are the prime factors of i?\nAnswer: 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*x - 33 - 9. Suppose 0 = -n - 1, -2*v = 3*n - 137 - 148. What is the greatest common factor of v and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4*d + 6 = -4*f, 0 = -3*f - 3*d - 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (23 + -4 - 14)*(-424)\/(-5) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 30*o**2 + 14*o + 159. Calculate the remainder when x(-24) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*-4*1*(sqrt(200) + 1*sqrt(200) + -2)**2.\nAnswer: -320*sqrt(2) + 3214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*a + 4668 = 31957, 3*q - 81923 = -a. List the prime factors of q.\nAnswer: 2, 5, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36527499\/(-4))\/(2\/8). Let x = m + 52901631. Let v = x - 28574132. Round v to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/10)\/(-3*1\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 p when four letters picked without replacement from psspppr?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 35. Suppose 3*q = -2*p - 44, 2*p = -p - 5*q - 68. Let f be z(p). Put -1, -97, f, 4 in decreasing order.\nAnswer: 4, f, -1, -97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 + 3054. Suppose 0 = -5*q - 3*k + g, 5*q - q - 4*k - 2328 = 0. Find the common denominator of -89\/20 and 2\/5 - q\/100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z**3 - 4*z**2 + z + 7. Let l be f(-3). Suppose 4*w + 0*w = -5*h + 204, -2*h + l = 5*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**4 + v**3 - 3*v**2. Let p(j) = 23*j**4 + 5*j**3 - 17*j**2. Let c(w) = -34*h(w) + 6*p(w). Solve c(b) = 0 for b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9562850030352 and 0.5.\nAnswer: 9562850030352.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -1\/2, -4, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 1:17 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -300987729 smaller than -300987728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 6)\/(-31)*(0 - (-2)\/22).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29039*u + 68 - 44 - 40.\nAnswer: 29039*u - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130 (base 4) to base 8.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 13*r + 7. Is c(-6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -78. Suppose -3*c - 2*c + 8 = -2*t, 0 = -5*c + 4*t + 6. Suppose c*v = 6*v + 4. Sort v, h, 3.\nAnswer: h, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 3452 + 29828 = 0. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4830.572 kilograms?\nAnswer: 4830572000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from lffffflflfff.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2\/3 - 545*n\/3 + 10000\/3.\nAnswer: -5*(n - 16)*(n + 125)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.05 - 4.04999782. Round q to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -566 + -36?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 + 2*f**3 - f**2 + 29*f - 34 - 27*f + 2*f**2 as m*f**2 + h*f + z + j*f**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-78)\/12)\/((-315)\/180)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**7\/840 + z**6\/36 - z**4\/8 + 33*z**3\/2 - 2*z**2 + 83*z. Let t(x) be the first derivative of o(x). Give t(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**2 - 13*c - 221 wrt c.\nAnswer: 4*c - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 72*h + 2598. Let l be p(-28). Which is greater: 586 or l?\nAnswer: 586","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -13.4. Let j = -2.22 + 0.02. Let y = j + v. Which is the closest to -3? (a) -1 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from fnffndnznfnnfndn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3355032 + -20?\nAnswer: 3355012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -12*h - 12. What is the lowest common multiple of 10 + 27\/18 + (-5)\/h and 116?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from wzztvrrzvkr.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(-2)*l*(l\/l**(-5)*l)\/l*(l*l\/l**(-10\/7)*l)\/(l*l**(2\/13)*l) assuming l is positive.\nAnswer: l**(844\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-15) - (-2)\/(-5). Suppose i + 0*i - 14 = o. Let t be i\/6 + (-4)\/(-6). Solve -t*m - b + 9 = 0, -2*m - 2*m = -5*b + 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 2*u + 2*u + (0 - 4 + 2)*(-2*u + 6*u - 2*u) + 4*u - 2*u - 3*u)*(1 - 2 - 3 - u).\nAnswer: 7*u**2 + 28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63185?\nAnswer: 5, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 952, 1903, 2854, 3805, 4756, 5707?\n\"Answer: 951*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*m + 22, 28*m = -4*z + 31*m + 2. Put -16, -1, z in decreasing order.\nAnswer: z, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 32.4. What is the closest to 0 in k, -3, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 29349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5833029372 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49096 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-8))\/v)**(-38) assuming v is positive.\nAnswer: v**(-304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 198 = 5*o, 0*z + 2*z + 8 = 0. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11.769, 0.02 in increasing order.\nAnswer: -11.769, 0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4.891 times -3.623\nAnswer: 17.720093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5277 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**4 + o**2 - 1. Let u(t) = -17*t**4 + 36*t**2 - 6. Let l(p) = -6*f(p) + u(p). Find the third derivative of l(h) wrt h.\nAnswer: -552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.9 times -22.85\nAnswer: 317.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + 20 + 12 + 2*s - 9 as n + m*s and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**3 + 11*g**2 + 512*g - 131. Give h(11).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - 57 - -18 - (24 - 1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9072\/4032 + (-186)\/8\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + -13. Let f = p + 165. List the prime factors of f.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 77365 = 263. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24819, -24804, -24781, -24750, -24711, -24664?\nAnswer: -24609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5152 divided by -46\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - 5*o + 0*o + (5*o - 3*o - o)*(0 + 3 - 4) - o - 2 + 2 + 1 - 1 + 7*o)*(1 + 2 + 0)*(-2 + 17 + 8) + (-1 - 1 + 5)*(-1 + 1 + o) as z + s*o and give s.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 2. Let i = k - -6. Let u(f) = f**3 - 4*f**2 - 5*f - 3. Let d be u(5). Which is the closest to i? (a) d (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*j - 12, -j + 43 = 5*x + 7. Let m be (-344)\/(-28) + x\/(-28). Let l be (-3)\/2*m\/(-9) + 4. Solve -w = -l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 749*d + 278*d**2 - 749*d - 4*d**3 - 278*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 12, 171, 3 in decreasing order.\nAnswer: 171, 22, 12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 210.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2345 + 172 = 134*m + 8145 for m.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2605*q + 315193. What is o(121)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*u + 23823 = -4*u, 3*l - 4*u = 17851. List the prime factors of l.\nAnswer: 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 3*a**4\/8 - a**3 - 245*a**2. Let m be (4\/(-10))\/(3\/(-30)). What is the remainder when b(m) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16591874 or 116143115\/7?\nAnswer: 16591874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(9\/8)*r\/(r*r**(2\/19)*r))**(-7\/5) assuming r is positive.\nAnswer: r**(49\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 12:33 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.078 and -39074?\nAnswer: 3047.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6114.39 rounded to the nearest one hundred?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70452*n + 65055*n - 53019*n.\nAnswer: 82488*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1362 = 129*a + 1218 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 - 2978*o\/3 - 2217121\/3.\nAnswer: -(o + 1489)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (439000\/(-171210))\/((-8)\/26)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96886835 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -232 <= -44198\/191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 12*l - 20. Let o(n) = -6*n + 2. Let q be o(0). Let v be z(q). Is (-15)\/60 - (-1626)\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146676 is divided by 8626?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 12) in base 9?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/100 of a litre?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -670182*k**2*y**2 - 2*k*y**2 - y**2 - 55497*y + 11 with respect to k.\nAnswer: -1340364*k*y**2 - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -417 + 418. Does 13 divide (11 - i)*(-364)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 14*m = -5*n + 6, 2*m + 2*n - 6 = 0. Let y(a) = 34*a**2 - 4*a + 3. Let j(q) = -69*q**2 + 7*q - 5. Let h(u) = -4*j(u) - 7*y(u). Determine h(m).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2551 - -2564. Solve -x = -3*c - h, 0 = 2*c - 4*c + 4*h + 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172987386 and 1001?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*18\/(-105)*(-7)\/20.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384*z - 5 = 389*z. Let p(n) = -2766*n + 13. Is p(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/(-396)*8\/240*8.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -207 - -243. What is the greatest common divisor of k and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2755060 and 3080?\nAnswer: 5510120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18395384?\nAnswer: 2, 7, 167, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - -0.3. Let h = 2\/49 - -2385\/392. Let u = h + -155\/24. Which is the closest to t? (a) u (b) 0.3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 4843?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, -1\/8, -407, -27, -15.5, -2\/3, 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 163*g - 46*g - 44*g + 3504. Suppose -h - 17 = 4*h + 4*j, -3*h - 4*j = 15. Which is the fourth biggest value? (a) -0.2 (b) g (c) -4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 4*w + 49. Let i = 118 + -43. Calculate the greatest common factor of i and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/416*(-2)\/(-3)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 9*i - 12. Let h be s(-8). Let u be (1\/h)\/((-15)\/12). Suppose -4*n + 5 = n. Which is the closest to u? (a) -2\/19 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*(-5)\/(-24)*(-8)\/(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -5.7, 1\/4, -17, 0.3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 20*l**2 + 9*l - 27. Let h(s) = 220*s**2 + 100*s - 300. Let o(v) = 100*a(v) - 9*h(v). Let d(z) = 188*z**2. Calculate o(d(p)).\nAnswer: 706880*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + 0)*-4 + -1 - (2*(sqrt(17) + (sqrt(17) - sqrt(119)\/sqrt(7))) + (2 + sqrt(17))*2))**2.\nAnswer: 280*sqrt(17) + 13353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5289362 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 796, 1778, 3152, 4918, 7076, 9626?\nAnswer: 12568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*l = -22, 5*l = 73*k - 69*k + 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 27*s**2 - 2. Let a(c) = -3*c**2. Give m(a(y)).\nAnswer: 243*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 10*x + 23. Give t(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 397137 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 728*j**2 + 722*j - 11. What is r(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 - 6 - 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 91915987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -83632*a + 261. Let x be k(-43). Suppose 2*b = -4*j - x - 2825559, 0 = b - 3*j + 3211003. What is b rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 10*z**5 - 4 + (-4*z**5 + 6*z**5 + 5*z**5)*(0 - 2 + 4) + 41*z**2 - z**5 - 39*z**2 + 11*z**5.\nAnswer: 34*z**5 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j. Let y(q) = -244*q + 72*q + 72*q + 72*q - 4. Calculate y(d(u)).\nAnswer: -56*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 6056496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ddd6 (base 14) to base 13.\nAnswer: 6956a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2. Let x(n) be the second derivative of 0 - 4*n**2 - 1\/6*n**3 - 9*n. Calculate u(x(t)).\nAnswer: -t**2 - 16*t - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5611 - -3?\nAnswer: 5614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48856, 6\/11, 9.69 in decreasing order.\nAnswer: 9.69, 6\/11, -48856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a1 (base 14) in base 5?\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/203 and 97\/38164.\nAnswer: 38164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -141 + 144. Suppose 2*h - r + 5*r = 348, 4*r = t*h - 532. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = -x + 4*x, 0 = -3*y. Let v(q) = -3*q + 2. What is the remainder when v(x) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -2 + 2\/(-5). What is the smallest value in 22, -2, h, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 74737*j**3 - 3*j**2 + 19*j - 18. Is u(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11269059 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1200 and 1863640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmmmbxtbmxmxxmxxmtx. What is prob of picking 3 b?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15 - 4*a**2 - 90*a + 87*a - 4*a**2 wrt a?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 216, 475, 836?\nAnswer: 1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a. Let l(o) be the first derivative of -209*o**2 - 1604. Calculate l(c(x)).\nAnswer: 418*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 424*m**2 + 5*m + 2. What is n(1)?\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5916, 23537, 52860, 93885, 146612, 211041?\nAnswer: 287172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - 952*z + 7*z**2 + 952*z - 18*z**2 + 4*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 156\/10 + (-20)\/(-50). Let w(s) = -s**3 + 5*s**2 - 3*s. Let q be w(4). Suppose -q*t + 0*t + 704 = 0. What is the highest common divisor of t and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/5)*s*s)**(-6\/23))**(-47)*(s**(1\/10)*(s\/s**(-1\/10))\/s)\/((s**(2\/7)*s*s)\/s**0) assuming s is positive.\nAnswer: s**(5981\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -3 + 6 + -1. Calculate the remainder when 2 - -24 - (k - 0) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 4 = -s - 3*s, 0 = -2*s + 4*w + 2. Let k be (-3 - (-112)\/36)*(-6)\/(-2). What is the closest to s in -1\/2, k, -7\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 973 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 28 - (0 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 5) to base 14\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5743 * -4669.\nAnswer: -26814067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 11:47 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 63\/(-36) - (-2 + 0). Let r = 231 + -230. What is the closest to -2 in -3\/4, r, o?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 1220 + 2765 = 0. Let h = g + 1622. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 - 529*c + 529*c.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -14*w**3 - 8*w**2. Let a(p) = -p - 1. Let i be a(7). Let n(b) = 5*b**3 + 3*b**2. Calculate i*n(d) - 3*c(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2907*k**4 - 212*k**3 + 7*k**2 - 697562809*k.\nAnswer: 34884*k**2 - 1272*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 5*b**2 - 3*b + 3. Let a be d(-2). Suppose -z + 0*z - a*i - 19 = 0, -2*z = 4*i + 20. Put 5, z, -1 in decreasing order.\nAnswer: 5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 4092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/(-2)*-10*(-13)\/(-2340).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*m = 135*m - 274. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 9:42 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*v + 0*v + 5*v)*(1 - 3 + 4) + 0 + 3*v + 0)*(-1 + 1 + 3*v) as w*v**2 + a + u*v and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a - 26 + 33 + 8 - 19. Calculate w(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7042 + 21526\/3. Let q = -132 + j. Sort -1, 1, 1\/3, q in increasing order.\nAnswer: -1, 1\/3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2510 - 25001\/10. What is the common denominator of q and 89\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 160 = 202 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, d: 1, z: 1, j: 1, t: 1}. What is prob of sequence dlt?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/5*(35\/(-56))\/1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*o - 5*u, -5*o - 15 = -9*u + 4*u. Let y be 3*o\/6 + -8. Suppose 0 = 5*d - 6*d - 6. Do y and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/25 - (-7 + (-23340)\/25) is divided by 191.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/9 + (8 - 10). Solve -17*o - o - 36 = p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10213166?\nAnswer: 2, 113, 45191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3169 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 28\/(-10) - (-20)\/(-25). Suppose 5*m - h*n - 2562 = 0, 4*m + 19*n - 2060 = 24*n. Is m a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 - -152. Suppose -674 = -3*a - 5*v, i*a = 3*v + 503 + 187. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4\/5 - 4660748*g**3\/5 + 9321488*g**2\/5 + 18642992*g\/5 - 37285968\/5 = 0.\nAnswer: -2, 2, 4660746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 37979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 896 = 2*x. Suppose 31*a - 17*a = x. Calculate the smallest common multiple of a and 25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvwwyywybt. What is prob of sequence wyy?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 610.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51430 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - x - 1. Let a(z) = 5*z**2 + 167*z + 67. Let q be a(-33). Let l(j) = -7*j**2 - 8*j - 3. Give q*l(p) - 6*y(p).\nAnswer: -p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlr when three letters picked without replacement from kylrd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 8, -h - y = 2*y - 36337. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 + 119. What is the first derivative of -30 + 1986*y + b*y**2 - 1986*y wrt y?\nAnswer: 50*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - r - 99 = -11, -5*s - 420 = -5*r. Let d = 86 + s. Suppose d = -36*i + 30*i. Sort 2\/13, 4\/7, i in decreasing order.\nAnswer: 4\/7, 2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -167, -284, -427, -602, -815?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -804, -1544, -2254, -2928, -3560, -4144, -4674?\n\"Answer: x**3 + 9*x**2 - 774*x - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.963 - 2.\nAnswer: -10.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7077871 is divided by 154?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2790*n**2 + 66*n**3 + 2790*n**2)*(0*n**2 - 3*n**2 + n**2).\nAnswer: -132*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + -1 + sqrt(288) + 3 + (sqrt(648)*3 + sqrt(648) - sqrt(8))\/(sqrt(8)\/(sqrt(2) + sqrt(2)*1)).\nAnswer: -2 + 82*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 8 + 0)*(0 - 2 + 0)*(5 + 0 + 3)*(-2*f + 2*f - 2*f) as i + o*f and give o.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7 = 1. Sort -5, q, -4.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 + -90. Which is smaller: -108 or w?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 590799.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11113416 - -5?\nAnswer: -11113411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 202?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, l: 6}. Give prob of picking 1 z and 3 l.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, 5\/13, 2\/3, 2\/7, -2\/15 in ascending order.\nAnswer: -2\/15, 2\/7, 5\/13, 2\/3, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -29. What is the remainder when 39 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 3*h + 3. Let x be p(-2). Let q be x + 2 - (-3 + 1). Suppose -q*u + 12 = -58. Solve -l = 2*a + 2 - 12, -2*a = 2*l - u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q - 3. Let u(x) = x + 1. Let o(y) = j(y) + 6*u(y). Let v(s) = 5*s + 16. Suppose 5*t - 3*k = 58, -5*t - 7*k = -3*k - 51. Determine t*o(l) - 2*v(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 - 10 - 139*p + 127*p with respect to p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 221 - 350?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 635*s**3 + 13 + 2*s**2 - 568*s - 21 + 575*s - 64*s**3 to b*s**3 + r + o*s + u*s**2 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = -2*a - 3. Is a - 0 - 9\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*q - 7*v, -4*q - 6976*v - 81 = -6981*v for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/366 and -25\/1231834.\nAnswer: 3695502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9*s + 291. Let x(g) = 57*g + 314. Let r be x(-5). Let t be u(r). What is the highest common divisor of 440 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -24. Let j = 3.1 - -4.2. Let l = 7 - j. What is the third biggest value in l, 3\/4, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.1, 0, 1\/4, -2673?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5195971*p = -5195623*p - 34800 for p.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -6ae?\nAnswer: -6af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:09 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let o = -2 - p. Let z(b) = -b**3 - b**2 + 5*b + 2. What is the units digit of z(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*w + 2*w. Let v(y) = y**3 - 31*y**2 + 4*y - 126. Let g be v(31). Sort w, g, 2 in decreasing order.\nAnswer: w, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.4, 1, -0.3, 329, -5 in descending order.\nAnswer: 329, 1, 0.4, -0.3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 21 = 3*y, y + 29 = -5*f + 9. Put y, 5, -2, -6, 3 in decreasing order.\nAnswer: 5, 3, -2, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, -11, -131, -383, -815?\nAnswer: -1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -4. Let q = 3 - n. Solve q*p - 9 = 8*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 159378\/35 + -22174\/5. Let v = l - 119. Is 1 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 179. Let u(b) = 2*b + 178. Give -3*l(n) + 4*u(n).\nAnswer: 2*n + 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 950 a factor of 2433906650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.5 in -2, 4, -3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 85 = -13464*f + 13469*f, 2*z + 39 = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t. Let a(y) = 69 - 273703*y + 273698*y - 227. Determine s(a(c)).\nAnswer: -10*c - 316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -30. What is the second biggest value in 1, -2.8, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.1 (c) 0.1 (d) 1741 (e) 5\/2 (f) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 91 + 77 + z.\nAnswer: z - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 416991593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -474718 rounded to the nearest one thousand?\nAnswer: -475000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 0 + 2*y**2 + 1\/6*y**3 + 2*y. Suppose 5*s = 2*r + 15, -5*r + 3 = -2*s + 3*s. What is z(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*s + 42*s - 184*s + 34 - 174*s - 36*s wrt s.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*238.92\nAnswer: 477.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/3917?\nAnswer: -4\/3917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 - 7*f**3 - 3*f**3 + 4*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxuqqxxuu. What is prob of sequence xd?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 c when three letters picked without replacement from qqqqqqqcqqqqc?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 388124 and 0.01.\nAnswer: 3881.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24630 (base 9) to base 14.\nAnswer: -6063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16446812*l**2 + 16446807*l**2 - 32893606*l**2.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33ab (base 15) in base 16?\nAnswer: -2ad1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w + 20*w - 21*w - 912 = 0. Calculate the remainder when (-3)\/(-6) - (-657)\/6 is divided by w.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 349 - 309. What is the remainder when y is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4885 - -4886. Solve d - o = 2*i + 5, -2*i = -3*d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21401268 = 32*c - 3375404. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 381*r - 132. Let q(a) = -60579*a + 20955. Determine -635*i(p) - 4*q(p).\nAnswer: 381*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-78))\/((-9)\/12)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1296 - 1150. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31315885 or 31315884?\nAnswer: 31315884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-2\/21)*o\/o**10*(o*o**(-4\/5)*o)**(-14\/9) assuming o is positive.\nAnswer: o**(-342\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1010752*g**3*s**2 - 6*g**3*s - g - 172734*s**2 wrt g.\nAnswer: -6064512*g*s**2 - 36*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5 + 7, 0 = -3*d - 4*j + 19. Let i be (0 + 0)\/(d + 2). Suppose -3*k + m - 18 + 85 = 0, 5*k - m - 115 = i. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187.14 + -187.14. Which is the smallest value? (a) o (b) 2\/3 (c) -3\/7 (d) -2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2841478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.249427 litres to millilitres.\nAnswer: 6249.427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-9))\/((-1)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5 + sqrt(192) + 2 + 0)*-3)**2.\nAnswer: -1296*sqrt(3) + 5427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*k - 266*k - 355*k - 536*k + 171*k as r + j*k and give j.\nAnswer: -887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 707347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 11) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 1461474 + 46*q - 1461474.\nAnswer: q**2 + 46*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 24. Solve 10 = 3*t - v, t + k*v - 5 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*u + 241 - 241)*(-3*u + u + 0*u) + (u**2 + 3*u**2 - 6*u**2)*(0 + 3 - 1) + 5*u**2 - 3*u**2 + 0*u**2 + (2*u + 2*u - 2*u)*(1 - 1 - 2*u).\nAnswer: 196*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 3, 5 in ascending order.\nAnswer: -45, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 12:20 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7843, -7516, -6949, -6142, -5095?\nAnswer: -3808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -805337, 29, -4?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-45)*6 - 430\/(-3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrlrrrlrlrr. Give prob of picking 3 r.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 100 + -78 - (-45 - -15)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6)*(-2 - 1). Suppose 6*d = 2*d + 16, 2*d + 2 = 2*q. Put 2, l, q in descending order.\nAnswer: q, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*c - 8 + 12 = 0, 0 = 2*z - 4*c - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.50688 * 8.\nAnswer: -4.05504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = -4*y - 85 + 52, 36*b - y = -5*y - 0*y + 16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9882941 decades?\nAnswer: 118.595292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -200022012 (base 3) in base 7?\nAnswer: -53621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r + 32 + r**2 + 4 + 8*r - 12*r to y*r**2 + o + f*r and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1354 + 823 + v**2 - 862)*(2 - 2 + v).\nAnswer: v**3 - 1393*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 6*a**2 - 11*a + 60. Let i be p(6). List the prime factors of -9 - i\/18*3327.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 11) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -16. Let r(f) = 3*f - 2. Let q(g) = -g + 1. Let j(l) = 6*q(l) - r(l). Let a(z) = -1 - 21*z + 12*z + 10*z. What is i*j(p) + 24*a(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 856512287732 + 1.\nAnswer: 856512287733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -759\/194?\nAnswer: -759\/194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(((-1)\/(-2))\/((-1)\/(-3))). Suppose 4*r + q + 373 = 0, 2*q - 370 = 4*r + l*q. What is r rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*g + 14. Let x(v) = -1 + 2*v**2 + 0*v**2 - v**2 - g*v**3. Suppose 0 = -3*j - 2*h + 1, -2*j = j - h - 4. What is x(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682672472424 - 48*v + 682672472424.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.99 + -0.01. Let m = -0.05 - -0.03. Let y = -0.02 - m. What is the second biggest value in 1, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 5*x - 4. Let t(n) = 2*n - 3. Let h be t(3). Let a be k(h). Solve 5*l - 40 = -3*r, 0*l - r = -a*l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -881209, -27, -5 in decreasing order.\nAnswer: 4, -5, -27, -881209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12174 and -0.012?\nAnswer: -146.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - i + 5. Let q be t(0). Let w(x) = x**2 - 4*x + q*x - x. Let m(j) = -j. Give w(m(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1608383451 + -15.32.\nAnswer: -1608383466.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(14\/(-28)). List the prime factors of -542*q\/(-8)*4.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2 - 10. Suppose 9*a - 24 = -69. Let s be (a\/z)\/(1\/(-2)). Let c(y) = -y**3 - 6*y**2 - 6*y - 4. Determine c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 22618*l - 226172\/5.\nAnswer: -2*(l - 56543)*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4 + 4 = 2*u, 5*u = 5*d - 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2237060\/1102*2\/140.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*d + 18. What is the highest common factor of d and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((101\/303)\/(2\/((-6)\/15))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, e: 1, a: 1, v: 2, t: 1, f: 2}. What is prob of sequence vava?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = 1. Let g be (-120)\/54 - (-4)\/18. Let k = l - g. Which is the second smallest value? (a) 5 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20878, 41814, 62748, 83680, 104610, 125538, 146464?\nAnswer: 167388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 2*l + 9. Determine i(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 11) to base 3\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -6*k - 145. Suppose k = 4*v - 3*a, -2*v + 4*a + 17 = -v. Let i be -1*(0 - (-1 + 8)). Solve -i = -v*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from qnz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + 22. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 3:09 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 - (18\/(-3) - 2) is divided by 225?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + d = -4, -4*y + d - 8 = 6*d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r - r**2 + 4*r**2 + 38227 + 9*r - 38117 to the form g*r**2 + x + m*r and give x.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - x + 12. Suppose 0 = -2*z + 3 + 77. Suppose x*v - z = v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3\/4 + 111035*z**2 + 59447425*z\/4 + 995368415\/2.\nAnswer: 5*(z + 67)**2*(z + 88694)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/18)\/(61\/(-183)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63842 is divided by 10640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h + 1. Let p be (-3 - 2 - -3)*(-5)\/(-5). Let k be p*((-10)\/12 + (-12)\/(-36)). What is x(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102016667 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2208478?\nAnswer: 2, 149, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1 = -4*y + 6*y, -3*c + 7 = 5*y. Suppose -3*u = -y*u - 21. Suppose u = -3*q - s, 5*s - 4 - 5 = 4*q. Which is greater: -7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i*u**2*x + 2*i*u**2 - 2*i*x + 55*i - 4*u**2*x - 2 wrt x?\nAnswer: 4*i*u**2 - 2*i - 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 69\/9 + 64\/48. Suppose 16 = -13*a + 55. Sort z, a, 2, 4 in descending order.\nAnswer: z, 4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*b = 61*b - 12, 4*l = -2*b - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*w**5 - 10*w**3 + 4*w**2 + 83.\nAnswer: 240*w**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**4 + 17*w - 17*w)*(0*w - 3*w - w).\nAnswer: 24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 - 7001*f**2\/4 - 941425*f\/4 - 934423\/4.\nAnswer: (f - 7133)*(f + 1)*(f + 131)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1620, 1857, 2260, 2835, 3588?\nAnswer: 4525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-210)\/(-126))\/(1\/24). Let k be 242 - (-4 + n\/5). Calculate the highest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 35*m**4 - 194365*m**3 + 270160155*m**2 - 885738375*m + 231018750 = 0?\nAnswer: 2\/7, 3, 2775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -793*y**5 + 613*y**3 - 613*y**3 + (0 + 2*y + 0)*(-2*y**4 - 1 + 1) + 3*y**5 - 3*y**5 + 2*y**5 - 2*y**4 - 2*y**5 + 2*y**4.\nAnswer: -797*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*v - 696*v + 4056*v + 1521*v.\nAnswer: 4780*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227325 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 6320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/5 - 21272*y + 106358\/5 = 0. Calculate y.\nAnswer: 1, 53179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b + 16*b - 47*b + 16*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(171))**2 + sqrt(19) + -1.\nAnswer: sqrt(19) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67737539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -58686 divided by -613?\nAnswer: 58686\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 90 = 5*g, -y - 3*g + 9 = -21. Let o(k) = -k**3 - 2*k**2 + 4. Let h be o(-4). Suppose l - h = y. Calculate the greatest common factor of l and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1888 + 2808. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1407, 1510, 1689, 1950, 2299, 2742?\nAnswer: 3285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + r**3 - 462 + 911 - 472 + 4*r**4 as j*r**2 + k*r**3 + t + s*r + h*r**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-6)\/(-9)*((-1)\/2 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**11*v)\/v)\/(v\/v**(-2\/63)) assuming v is positive.\nAnswer: v**(754\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -171267 (base 10) to base 16\nAnswer: -29d03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 5\/4, -4.1 in increasing order.\nAnswer: -5, -4.1, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z**2 - 5*z + 37*z**2 - 15*z**2 + 10*z - 6*z.\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 37765.\nAnswer: 23\/37765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6864287 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2148424um to millimeters.\nAnswer: 0.0002148424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17257 + 2314?\nAnswer: 21573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 488 - 484. Suppose -l + 3*l = c*l. Solve 15 + 0 = 5*z + 4*t, -3*z - 3*t + 12 = l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 19. Let z(i) = -3*i + 3*i - 10 + 2*i. Let x(a) = -3*c(a) + 5*z(a). What is x(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 6*b + 8*b. Suppose -m + b*g + 25 = 3*g, 5*g - 20 = 0. Suppose -w - w + 34 = 0. What is the remainder when m is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - a**2)*((0 - 1 + 3)*(-6 + 2 - 4)*(-5 + 5 - 8*a) - 2*a - 3*a + 0*a).\nAnswer: -123*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.47 and 138?\nAnswer: 340.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 63783, 126353, 187703, 247833, 306743, 364433?\n\"Answer: -610*d**2 + 64400*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w. Let a(i) = 6*i. Let m(g) = -3*a(g) - 8*o(g). Let b(t) be the third derivative of -5*t**5\/12 + 22*t**2 + t - 30. Determine m(b(q)).\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3251572225 to the nearest integer?\nAnswer: 57023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 996 + -689. Let p = n + -307.02. Which is the closest to p? (a) -4 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3512\/(-20))\/(-4*2\/400). What is y rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-97)\/2 - (-3)\/6. Let m = -47 - c. What are the prime factors of (3\/(-5))\/(m\/(-115))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*y)*(97 - 12 + 12) + (4 + 4 - 5)*(5*y - 4*y - 4*y).\nAnswer: -203*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**5\/60 - p**4\/24 + 56*p**3\/3 - 89*p**2 + 1. Let x be f(-11). Solve -x = 10*v - 11*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200611983?\nAnswer: 3, 11, 13, 467627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7975 at least as big as 7983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236.0262929183 - 0.0262683183. Let x = 236 - w. What is x rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*k - 389 + 389)*(5 - 1 - 3)*(-1 - 1 + 3).\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -485 - -482.47. Let m = q - -2.5299946. What is m rounded to seven dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329855434 to the nearest integer?\nAnswer: 18162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 67, 42, -3, -74, -177, -318, -503?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8*s - 16 = 0. Let p = s + -1. Suppose 3*a = p*l + 213, -a - 6*l = -l - 59. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**3 + 7*x + 13*x**2 + 5*x**3 - 2*x - 6*x**2 - 4. Let l be o(-6). Solve 2*s + 20 = -l*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 1:39 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 + 25 + 26 + 1343*g + 24 - 111 to the form p + v*g and give v.\nAnswer: 1343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*(3*sqrt(2057))**2*-2.\nAnswer: 111078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5064\/82549 or -7?\nAnswer: -5064\/82549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 169*k + 4*k**2 + 180*k + 137*k**3 - 347*k + 0*k**2 - 1 to the form s*k + r*k**2 + p*k**3 + f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 231685 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 3*k - 2*k)*(2*k**2 + k**2 - 2*k**2) - 11*k**3 - 6*k**2 + 1726 - 836 - 828.\nAnswer: -10*k**3 - 6*k**2 + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 6:15 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7048.34234 rounded to 0 decimal places?\nAnswer: -7048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001496 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.87343l in millilitres?\nAnswer: 11873.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 27, 52, 87, 132, 187?\n\"Answer: 5*k**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003314 minus 0.0927968?\nAnswer: -0.0961108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5 = -m. Suppose 17*f = 18*f. Let c(z) = -212 - 2*z + 206 + f*z. Give c(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 4)*(-22 - 21 + 15)*(-1 + z + 1) + (2 + 0 + 3)*(z - 3*z + 7*z).\nAnswer: 53*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 3*t**2 - 3*t + 4. Let c be x(-4). Calculate the remainder when c - -1 - 36\/(-12) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + (-18 - -30 - -6) + -21?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/230 and -1\/2504205.\nAnswer: 115193430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, m: 4, t: 5}. Give prob of picking 2 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 - -55. Let i = k - -37. Is (-4 - -1) + (i - (-170 + 5)) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, k: 2, p: 2, i: 10}. What is prob of picking 1 k and 1 l?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*(0 + sqrt(448) + 2) + 3))**2.\nAnswer: -576*sqrt(7) + 16164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*a - 56*a - 9187710 = -121*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 476 - 484.4. Sort 1\/2, a, -3 in decreasing order.\nAnswer: 1\/2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155873 (base 13) to base 5.\nAnswer: 113322104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/(-20) + 4)\/((-136)\/(-255))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2020\/7109 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -c - 6*s, 5*c - 22 = 2*s. Suppose -3*m + 2*m + 3*l = -1, l - 18 = 4*m. Put c, 2, m in descending order.\nAnswer: c, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*d - 13, -k - 7 = -5*d + 32. Suppose -15 = -10*s + d*s. Solve 0 = 2*p - 2*u + 16, s*p + 0*u + 24 = u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -16 + (-1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3067825?\nAnswer: 5, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12411424 + 12?\nAnswer: 12411441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = 2*s - 9*x + 20, 4*x = -20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54.3 + -54. Which is the third smallest value? (a) x (b) 3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**2 - 4*x + 3*x**2 + 3*x**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -4\/13419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/7))**(-2\/7)\/((t**3\/t)\/((t*t\/t**1)\/t))*(t**5\/t*(t**(1\/6)\/t)\/t)\/(t**(-4)*(t*t\/((t*t*t**(-2\/3)*t*t)\/t)*t)\/t) assuming t is positive.\nAnswer: t**(405\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.1217 (c) 343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-6\/5))\/((p*p**(-4))\/p))\/((p\/(p*p**(-21)))\/p*p*p**(-3\/4)))**(-41) assuming p is positive.\nAnswer: p**(11521\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 85*b + 1045. Calculate y(-69).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158580 = -3*t - s, -525*s + 522*s + 9 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20769 and 9616950.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64957614?\nAnswer: 2, 3, 10826269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7585 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79079.9435 - -79058. Let g = 22 + u. What is g rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 + 6*n - 5. Let s be 24\/(-56) + (-100)\/(-70). Give h(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 245*l**3 + 247*l**3 + 69*l**2 + 2 to a*l**3 + g*l + m + v*l**2 and give v.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/9354840 and 167\/660.\nAnswer: 9354840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -3)**2 + -3 + (sqrt(24)\/(sqrt(12) + (3*-3*sqrt(12) - sqrt(12))))**2.\nAnswer: -60*sqrt(2) + 16688\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.118 + 24. Let j = 2.902 - i. Round j to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1282 - -78205\/61. Let m = l + 179\/2562. Find the common denominator of m and -16\/175.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2343 + -2337. Let q(s) be the first derivative of 0*s**5 - p*s**2 + 0*s**4 - 11\/6*s**6 + 0*s + 10 + 0*s**3. Find the second derivative of q(d) wrt d.\nAnswer: -220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9140.7192 rounded to zero dps?\nAnswer: 9141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 13. Let w(h) = -6*h + 38. Let d(n) = 3*w(n) - 10*y(n). Let i = -568 + 577. Let l be d(i). Solve l = -2*c - 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g - 3. Let i(a) = 3*a + 6. Give -5*f(u) - 3*i(u).\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4007b - -a?\nAnswer: 40089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2993940+-3158\nAnswer: -2997098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 1:47 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64.9146 - -29.\nAnswer: -35.9146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 1. Let u(k) = -21. Let p(x) = 4. Let m(v) = -3*p(v) - u(v). Determine j(i) - m(i).\nAnswer: -i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0 + k - 1\/12*k**4 + 1\/2*k**2 - 7\/6*k**3. Determine d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1770 is divided by 70.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m\/(m*m**(2\/5)*m))\/m*m))*m**(-8))**(-43)*(m**0*m)**(-8\/9)*(((m**0\/m)\/m*m*m)\/m*m*m*m)**(-6) assuming m is positive.\nAnswer: m**(17609\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768833.\nAnswer: 13, 59141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.53 to 0 dps.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/2418)\/(1\/2).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116*i**2*l**4 + 2*i**2*l - 7*i*l + 7*l**5 + 167*l**2 wrt l.\nAnswer: -2784*i**2*l + 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-20)\/j*j*j**(-22\/3)*j)\/(j\/j**(-2\/21))**(-48) assuming j is positive.\nAnswer: j**(551\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -40 + 13 - (0 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (-123 - -132) + 85.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a factor of 2097024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*x**4 - 69913263*g*x**3 + g + 11632579*x wrt x?\nAnswer: -24*g*x**2 - 419479578*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**3 + 3*r**3 - 13*r**3 + (0*r + 0*r - 3*r**2)*(-5 + 5 + r))*(4 - 1 - 1)*(-r + 5*r - 3*r)*(5 - 2 - 4).\nAnswer: 42*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - 32*l - 11. Let y be k(-9). What is the greatest common divisor of y and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(((x*x**(9\/5))\/x*x)\/x)*x**(-19)*x*x**(-24\/7)\/x**(-4\/13) assuming x is positive.\nAnswer: x**(-9974\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 63*l**2 - 4513*l + 267918. Give x(61).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*v - 23 = 0, 2*c = -4*v + 11 + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*b = 4*m + 301, 1252 = -4*m + 4*b. Let v = -184 - m. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/9 - 47836\/36. Let w be j\/(-21) - (-10)\/(-35). What is the units digit of (w + -4 - 1)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 - 5 + 1 + 4.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39866836.\nAnswer: 2, 17, 586277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*x - 3*w - 13, -x - 4*w - 6 = 0. Suppose 0 = z - 3*y - 16, 3*z - x*y + y = 36. Let b(f) = f**3 - 8*f**2 + 9*f + 8. What is b(z)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2090*q. Let s(f) = 156*f + 73. Determine s(r(j)).\nAnswer: -326040*j + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o. Let y(s) = 82*s - 6 - 180*s + 101*s - 22*s**2 + 7 + 83*s. Give y(j(u)).\nAnswer: -22*u**2 - 86*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/8 or 54854258?\nAnswer: 54854258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 21277 = -8*h + 3*b, 2*h - 10641 = -b. What is the greatest common factor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.77 times 2416?\nAnswer: -4276.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10*y + 521. What is the least common multiple of 531 and f(52)?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4235\/12 equal to -354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -53. Suppose 8 = 2*w + 4*z - 92, 3*z - 99 = -f*w. What is the greatest common factor of 168 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**4\/6 - 2*s**3\/3 - s**2 - 16*s. What is o(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p - 55. What is n(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42\/2531 + 629191\/366995. Let q = -88\/2929 + 10\/101. Let m = g + q. Which is smaller: 3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92053 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.69 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 172, 411, 810, 1369, 2088, 2967?\n\"Answer: 80*n**2 - n + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4601 and 1505.\nAnswer: 161035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2646 is divided by 149?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-89)\/(-89)*((-5)\/20 + 500\/16)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.4. Let d = r - 2.4. Let p = -3.446 + -0.554. Which is the third biggest value? (a) p (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 7 + 2*i**4 + i - 9*i**4 + 9*i**4 + 0*i**4 as p*i + y*i**4 + b*i**3 + q*i**2 + t and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-12)*2*14\/(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z\/(z*z**23*z))*z**(-30)*z*z\/z**(1\/10)*z**(7\/4) assuming z is positive.\nAnswer: z**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62 * -5.\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**8\/42 - m**5\/12 + 4*m**2. Find the third derivative of q(t) wrt t.\nAnswer: -480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.127821 - 129298.427821. Let w = o - -129298.14000024. Let h = 0.16 + w. Round h to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 106 - 4126. Does 16 divide q\/(-9) + 15\/(-9) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -49220*i**2 - 10*i. Let v be d(-8). What is v rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -18*f + 6. Let s(c) = 20*c - 5. What is -2*s(v) - 3*x(v)?\nAnswer: 14*v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 24211*b + 1162127. What is y(-48)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m. Let i(r) be the second derivative of -r**3\/6 + 41*r**2\/2 - 6284*r. What is v(i(g))?\nAnswer: 2*g - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - q)*(0 + 0 - 1 + (1 + 1 - 5)*(0 + 0 + 1) - 1 + 1 - 4).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -107, -121, -113, -77, -7, 103, 259?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 10:09 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4475875753 to the power of 1\/2, to the nearest integer?\nAnswer: 66902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 1\/(4\/(-216)). Let r be ((-3596594)\/z)\/((-1978272)\/(-200)). Let w = r - 2\/75559. Find the common denominator of w and 12\/11.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2. Let x(s) = -2*s + 18. Let d(n) = 2. Let t = 4 + -6. Let o(q) = t*x(q) + 18*d(q). What is o(h(b))?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*v + 3, d - 5*v = -d + 25. Suppose -34 - 91 = -d*g - 2*t, -3*g + 84 = 3*t. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101100011111000 (base 2) in base 5?\nAnswer: 3234134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.4 (b) -4 (c) -2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102305 (base 7) in base 5?\nAnswer: 1031040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21448734 and -0.74.\nAnswer: 15872063.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, h: 7, v: 1}. Give prob of sequence hv.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -207463.74.\nAnswer: 622391.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -148*q - 33. Calculate b(1).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3\/(-36)*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 5*n + 5. What is the remainder when v(-7) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2618, 3117, 3614, 4109?\nAnswer: 4602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*t + 110*t**2 + 114*t**2 - 228*t**2 to the form y + p*t + i*t**2 and give p.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = 10*z - 3*z. Let w be z\/(-66)*(4*1 - 1). Solve -u - u - w = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 674*s**3 - 191*s - 1?\nAnswer: 4044*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 3\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-5)\/4 + (-15145)\/(-130). What is the greatest common divisor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14789 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -263451904*j**4 - j**2 + 305*j - 16122?\nAnswer: -6322845696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (4*6*(-5*(sqrt(343) + 2) + sqrt(343) + 1 + sqrt(343)*-3))**2.\nAnswer: 508032*sqrt(7) + 9727481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -o + 17, 41 = 5*o - 5*l + 16. Suppose -2*t - 5*i - o = 0, 5*t - 7 - 1 = -2*i. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-25)\/10*(-2)\/(-5). Let q be 6\/1 + -1 + 1. Put 0, s, q, -4 in ascending order.\nAnswer: -4, s, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/9)*i*i*i*((i**(-2)*i)\/i)\/i*i**(-9)*i*i**7 assuming i is positive.\nAnswer: i**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7670*u**2 - 7700. Let w(q) = 12788*q**2 - 12833. Let z(p) = 7*w(p) - 12*y(p). What is the first derivative of z(o) wrt o?\nAnswer: -5048*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(0 + (-15)\/(-12)) - 10. Let j = 217 + g. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*m**3 + 65*m**3 - 30*m**3 + (-8 - 4 + 4)*(-3*m**3 + 0*m**3 + 2*m**3) + (0*m**2 + 2*m**2 - m**2)*(-m - 4*m + 4*m).\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/987 and 151\/10803138?\nAnswer: 75621966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 9*b**5\/10 + 7*b**4\/8 + 1613*b**3\/6 + 604*b**2. Differentiate p(f) with respect to f.\nAnswer: 108*f + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -370220 divided by -92555?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -665\nAnswer: -13\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a - 7. Let b be k(-1). Suppose -3*z - 10 = -w + b, 5*w + 3*z - 96 = 0. Calculate the highest common divisor of 198 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131 - 83. Suppose 4*m - 2 - 4 = -3*x, 0 = 3*m - 5*x - 19. Suppose 4*a = m*a + 17. Calculate the remainder when i is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 4:32 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 31 + p - 15 - 3*p + 16.\nAnswer: -2*p + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97730954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3*i + 3 - 12, -4*a - 4*i = -8. Solve -14 = a*h + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*s - 168 + 138*s**4 + s**3 - 4*s**2 + 155*s**4 - 22 - 151*s + 68*s wrt s.\nAnswer: 7032*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 184 = -37*v - 4*c + 10*c, -58 = -v + 6*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (9 + 2) - (8 + -25 + 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/1378 + 46831\/9646. Calculate the common denominator of 1236\/(-103) - (-8508)\/672 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5786*p**5 - 4*p**3 - 245*p**2 + 9052651*p wrt p.\nAnswer: 115720*p**3 - 24*p - 490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11407 is divided by 305.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25179, -50535, -75891, -101247, -126603?\nAnswer: -151959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167212?\nAnswer: 2, 17, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tktk when four letters picked without replacement from {w: 3, e: 2, k: 2, t: 9, v: 1}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*g**4 + 30535*g**2 - 30537*g**2 + 47*g**4 - 2*g to the form r*g**3 + y*g + w*g**2 + j*g**4 + h and give j.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*f + 288*f - 23408 = 177*f + 109*f for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01 and -55422.\nAnswer: -55422.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/11 (b) -4.491 (c) -0.18 (d) -2 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78618 at most 240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 11*o. Let k(i) = -i + 25628. Calculate b(k(a)).\nAnswer: -11*a + 281908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j**2 - 10*j + 20. What are the prime factors of u(-10)?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10 = 2*o. Solve 5*a = 2*z - o, -a - 1 = -0*a + 5*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 1058, 2823, 6082, 11333, 19074, 29803?\nAnswer: 44018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -16, 9, 6, -9 in ascending order.\nAnswer: -16, -9, 0, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/9 (b) 1\/4 (c) 0.2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c (base 15) to base 3.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54.67 + -56. Let v = g - -1.4. Which is greater: v or -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74568\/47 + 1586. Let o = 631\/376 + g. Let m = 32189\/12 + -2684. Find the common denominator of m and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*r**3 - 2*r - 6*r**2 - 50*r**3 + 43*r**3 to the form c*r**2 + z*r + m + i*r**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 88409 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -0.5, -5, -1.68, -3\/5.\nAnswer: -19, -5, -1.68, -3\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (-2*sqrt(13))**2) + 2)*-6.\nAnswer: -6*sqrt(13) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -124826 + 2?\nAnswer: -124824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -347, -685, -1039, -1415, -1819, -2257, -2735, -3259?\n\"Answer: -g**3 - 2*g**2 - 325*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let v = 6.6 - 7. Which is the third biggest value? (a) -1\/8 (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 7 = -5*l. Suppose n + 0 = l. Solve 0*t + t + 3 = n*h, t = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooeoee. Give prob of picking 4 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*g - 1. Let u be 14\/2 - (-1 - g). Let k(o) = -3*o. Let a(c) = -c - 1. Let v(z) = 4*z + 8. Let d(n) = 8*a(n) + v(n). What is u*d(q) - 6*k(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2550468, -2550479, -2550490, -2550501?\n\"Answer: -11*i - 2550457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 960 and 1230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 12 = -d, 4*x + 5*d = -12 - 26. Let m = x + 91. Calculate the highest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-7)\/(-2) + -1. Let g(k) = -k**3 + 5*k**2 + 8*k - 7. Let q be g(b). Suppose -26 = q*y - 11. Let z(p) = 2*p**2 + 5*p + 2. Determine z(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4470 (base 14) to base 3.\nAnswer: 121021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*t**2 + 87*t**2 + 91*t**2.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2518 - -1385?\nAnswer: 4014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 722.\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d2 (base 16) to base 4.\nAnswer: 113102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 632 and 28.\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -40*v + 182. Let g be -110*4\/12*(-18)\/v. Is g < 166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 365*d**4\/2 + 55*d**3\/3 - 55*d**2\/2 + 55*d + 2017. Let s(t) = -27*t**3 - 2*t**2 + 2*t - 2. Give -55*s(i) - 2*v(i).\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llll. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14605433.\nAnswer: 19, 31, 137, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 4*q - 232, 5593*p - 131 = q + 5546*p for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12930 + 11504 = 643*w for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30850 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -8108\/5, -4, 2, 5 in descending order.\nAnswer: 5, 2, -4, -8108\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4451 - -2402044?\nAnswer: 2353153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 + -65. Let q = -33 + p. Suppose 5*j - 385 = 4*w - 88, 2*w = 3*j - 179. Calculate the remainder when j is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {t: 4, l: 3, r: 1, o: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 0 - 1)*(-96 + 93). Let y(m) = 21*m - 9. Let g(l) be the first derivative of -5*l**2\/2 + 2*l - 1. Calculate d*g(z) + 2*y(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 77, -3, 41.\nAnswer: -3, 0, 41, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21\/9 + -2 + (-11)\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 11:37 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2966820 and 18825?\nAnswer: 14834100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 - -71. Is s + -299*(0 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152*-593303\nAnswer: 90182056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, k: 2, r: 2, n: 1, c: 1}. Give prob of sequence kncr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 7533031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*t + 27*t + 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by -26?\nAnswer: 85\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 68 + 38 - 4012*f)*(-5*f**3 - 4*f**3 + 0*f**3).\nAnswer: 36108*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66170 divided by 5699.\nAnswer: 66170\/5699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 9*o**2 + 57*o - 151. Give a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-3)*3\/(-1). Let h(o) = -10*o - 53. Let l be h(-6). Let d = -4 + l. Solve -w = -d*f + 5*f - 2, -c*f - 6 = -3*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 0*t + 6*t)*(-22*t - 4 - 24*t + 48*t) + (0*t + 0*t + 2*t)*(-t + 4*t - t) - t**2 + 2*t**2 + t**2.\nAnswer: 10*t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 42*t + 14 = -34*t, -4 = 3*c + 5*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -11*k**4\/8 - 227*k**3\/6 + 6*k**2 - 39*k. Determine l(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16307 + 3744. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bb07b0 (base 12) to base 5\nAnswer: -1224411023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2867544, 2867545, 2867546, 2867547, 2867548?\nAnswer: 2867549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Suppose -4*v = -x*v. Suppose 3*m + 2 - 11 = v. Solve 0 = 3*h + 3, h + 14 = -5*p - m*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-2\/5)*r)\/r*r\/r**7)\/(r**(-2)\/r*r*r\/(r*r\/(r\/(r\/r**(-1)*r))*r)*r*r) assuming r is positive.\nAnswer: r**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 7*l + 25. Suppose -5*b + 0*k - 3*k + 3 = 0, -l*b - 5*k = -5. What is the derivative of b*a**3 + a**3 + 2 + 6*a**3 wrt a?\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-476)*242896\/1880?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 18. Suppose -3*i + 33 = -5*w, 0 = 3*i + p*w - w - 33. Let j = i + -5. What is the smallest common multiple of j and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*i**2 - 10*i**3 + 0*i**2 + 4*i**2 wrt i.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 (base 11) in base 12?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079750347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134203324 (base 5) to base 16.\nAnswer: -a97c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -10042032320?\nAnswer: -10042032310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 14944?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 42944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - 3. Let h be x\/(-4) - 1\/4. Suppose 13 + 17 = h*m. What is the smallest common multiple of 4 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 15 + 12 + 4*f + (-4*f + 6 - 6)*(2 + 4 - 4) to the form n*f + x and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 12:37 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 143298, 286620, 429946, 573276?\n\"Answer: 2*g**2 + 143316*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140) + sqrt(140)*1)*-4)\/(-4*-1*sqrt(5) + sqrt(5)))\/((sqrt(484) + 2*sqrt(484) + sqrt(484) - sqrt(484))*-2 + (1*sqrt(484)*-6 - sqrt(484))).\nAnswer: 8*sqrt(7)\/715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 8 = -2*b. Let f(p) be the first derivative of p**2 - 3*p + 3. Calculate f(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -813 + -15. Is f at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.6, -2, -11\/5, 2.8, 1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 l, and 1 u when four letters picked without replacement from lululpuuplupupuul?\nAnswer: 12\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 34*s - 61. Let x be j(23). What is the units digit of x\/9*243\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.4 - -25.4. Let a = d - 23.8. Let c be -1 - (2 + (-23)\/7). Put 3, c, a in descending order.\nAnswer: a, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -34*r**2. Let p(x) = -2*x**2 + 4*x - 4. Let d(u) = -2*u**2 - 3 - u**2 + u**2 + 3*u. Let z(y) = -4*d(y) + 3*p(y). Determine t(z(c)).\nAnswer: -136*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = -y + 19, -3*y = 3*h - 21. Suppose 7 = -h*i - 9, -14 = -5*l + i. Suppose -l*v - 3 = -3*v. Solve 8*z = v*z + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 7*b**2 - 9*b - 8. Let a be m(-6). Let h = 28 - a. List the prime factors of (-66)\/(-1)*h\/27.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-3 - (-20)\/6). Let s be t*1 + 42\/70. Is s greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5060 and 3076480.\nAnswer: 3076480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 r when three letters picked without replacement from {r: 2, i: 14, w: 1}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (3 - 8))\/2. Solve -d - n*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 35 = 43 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 60576 = 4*k - 49309, -k = -2*y - 27481. Suppose 0 = 5*m - 5*a - k, -6*m + 11*m + 4*a = 27520. Round m to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9 = -0. Let s = -2 + x. Suppose k + 3*k + 18 = 2*l, -2*k - s = l. Which is the third smallest value? (a) 2\/17 (b) l (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {v: 15, d: 4}.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/6)\/(16\/5256). Let s = v - 227. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, e: 9, a: 1, p: 1}. What is prob of sequence ae?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2210 + 0.4\nAnswer: -2209.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*o**2 + 192*o**2 + 8*o - 4*o - 4*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -23, -2, 2, 2752.\nAnswer: -23, -3, -2, 2, 2752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -24*v**3 - 2*v**2 + 529*v + 2. Let g(k) = -47*k**3 - 5*k**2 + 1059*k + 5. Let l(s) = 2*g(s) - 5*t(s). Find the second derivative of l(c) wrt c.\nAnswer: 156*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p. Let m(l) = 20*l - 34. Let k(n) = -7*n + 12. Let q(r) = -17*k(r) - 6*m(r). What is -6*a(u) + q(u)?\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040 is divided by 343?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = r - 6*a + 3*a, -2*r + 5*a + 246 = 0. Suppose -x + 0*t - 4*t + 40 = 0, 5*t = 4*x - r. Is 32 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(59 - 29 - 34 - 2*m).\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0898 + 56.0898. What is the third biggest value in -2\/13, -0.06, v?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 239 - 218. Calculate the least common multiple of 329 and c.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1808284 to the power of 1\/2, to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + 4*u**2 - 3*u. Let p = 10 + -17. Let r = p + 9. What is j(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/28*2 + ((-2358)\/14)\/(-3). Solve 0 = q*x - 504 + 112 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 735048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*v = -212*v - 1080. Suppose -2*a + 868 = -v. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 257590085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 729 + 597?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Let v = b + -7. Let w = 756 + -760. Sort -2, v, 1.3, w in decreasing order.\nAnswer: 1.3, -2, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 8*s = -116. Let p = s - 25. Suppose 2*x + 0*x - 14 = -p*j, -7 = 3*j - 2*x. Solve -2*n - 7 - j = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5654 by 17.\nAnswer: 5654\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -241.17 + 241. Let a = c - -0.27. Is 5\/16 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-63)\/(-2) + 2 - (-6)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p + 1629974 - 1632881 = 0 for p.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -5\/3*j**3 + 4*j**2 + 0*j - 2. Find the second derivative of g(s) wrt s.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3 - 23*g + 48*g - 26*g. Determine a(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vprd when four letters picked without replacement from jpdrxrv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.334277mg in micrograms?\nAnswer: 334.277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 145*j**3 + j**2 + j - 1. Let l be i(-1). Let q = l + 157. Suppose -q*a = -13*a + 4780000. What is a rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3\/6 + 193*m**2\/2 + 13920*m - 42050\/3 = 0.\nAnswer: -290, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r**3 + 11*r - 37. Suppose -76*w = -56*w + 220. Let s(u) = -3*u**3 - 4*u + 12. Give w*s(k) - 4*c(k).\nAnswer: k**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 418325\nAnswer: -418325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -2709, -9246, -21975, -42960, -74265, -117954, -176091?\nAnswer: -250740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1084 rounded to three dps?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 + 131872*q\/7.\nAnswer: -2*q*(q - 65936)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d - 46. Let f be w(-12). Calculate the common denominator of 119\/18 and 4\/f*(-25)\/100.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 62987302 + 3*u - 3*u - 62987302.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c0a4 - 1619?\nAnswer: 1a889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890036169.\nAnswer: 3, 11, 26970793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -2)*(-26)\/4. Suppose q - v = -0*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555763 is divided by 7665?\nAnswer: 3883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -523114\nAnswer: 5\/523114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28356989?\nAnswer: 367, 77267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nntxynnjnxunxxxy. Give prob of picking 2 y, 1 x, and 1 t.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-53)\/(-2) + 3\/(-6). Let g(t) = 4*t**2 - 3*t. Let z(j) = 11*j + j - 17*j**2 + j. Let u(r) = v*g(r) + 6*z(r). Let f(i) = -i**2. Determine u(f(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -4, -4 = 2*k - 4*l + 3*l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 78.2838.\nAnswer: 78.6838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.4537*-11139\nAnswer: -27331.7643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g**2 + 2*g + 28*g**2 - 15*g**2 + 0*g.\nAnswer: -12*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79907253 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20936 - -21530. What is the least common multiple of 396 and z?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(832) - (0 + sqrt(832)))*-3 + sqrt(832) + -4).\nAnswer: -24 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8812190 to the nearest 100000.\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 15747.477 months?\nAnswer: 13.1228975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -2 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 648811620 and 9234.\nAnswer: 1946434860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127 + 127 - 15*n)*(35*n**2 + 56*n**2 - 71*n**2) - 3 - 2*n**3 + 3.\nAnswer: -302*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222932 at most 15560516\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -15*w + 1\/2*w**3 + 0*w**2 + 0. Let z(b) = 9*b**2. What is z(x(h))?\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -698.\nAnswer: -18\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20\/9 + -23\/9. Let t be -1*5\/(130\/4026). Let u = t + 155. What is the biggest value in u, r, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiyyyiy. What is prob of sequence iyii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = f + 3*z, 5*z - 5 = 15. Suppose -2*m + f = -3*m. Calculate the common denominator of 1 + (-3)\/m*-134 and -85\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893763957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, f: 2, j: 2}. Give prob of picking 1 f, 2 t, and 1 j.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 4183569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckc when three letters picked without replacement from {c: 16, k: 4}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 7. Let u be (-10)\/8 - 2 - (368\/64 - 6). Which is the nearest to r? (a) u (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2190 or 432?\nAnswer: -2190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 30. Let x = 53 - 93. Let o = x - -40. What is the closest to -1\/3 in o, v, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**4\/8 - 19*l**3\/6 + 412*l**2. Determine o(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -109*p**2. Let z = -631 - -634. Let l(r) = -z*r + 2*r + 10621 - 10621. Give o(l(m)).\nAnswer: -109*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v + 2*b + 130 = 0, 2*b = v - 46. Let l = -38 + v. Let k = -3 - -6. Solve u + k*z - 16 = -z, -3*u - 32 = -l*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06962 to 3 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.47 + 0.03. Let p = 0.5 - q. Is 1 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 2*y**2 + 27*y**2.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 5*m + 6, r + 262 = m + 268 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -253607\/60 + 99769\/30. Let s = x + 900. What is the common denominator of s and 1\/5 - (-738)\/(-140)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -396 - -805. Let k = -408.813 + m. What is k rounded to 2 dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 23. Let f = q - -10. Calculate the smallest common multiple of f and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14714 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -745049*q**2 - 745050*q**2 + 1490091*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102, -204, -306, -408, -510?\n\"Answer: -102*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4 = -2*l - 8, 0 = 5*q - 3*l + 26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1347 (b) 1\/2 (c) 4 (d) -1 (e) -0.1 (f) 0.2 (g) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 392*c**2 - 115*c + 115. What is the lowest common multiple of 28 and i(1)?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + a61?\nAnswer: a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -733.89 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2756 + -2756.001409. What is b rounded to five dps?\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5*j - 176680 + 176691 = 0, 44 = -4*c + 5*j for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 7*u - 6. Let w be j(-6). Let l = 55 + w. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 1)**2.\nAnswer: 8*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**4\/12 + 2*r**3\/3 - 34*r**2. Give o(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q**2 - 4*q + 7. Let g(t) be the first derivative of t**3\/3 + t**2\/2 - t - 139. Determine -6*g(x) - y(x).\nAnswer: -2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -46, 10, 118, 296?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*r + 331*r - 147*r.\nAnswer: 41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3286*m + 700*m + 2*m**2 - m**2 + 4980*m.\nAnswer: m**2 + 8966*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/41215 greater than 1.285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - 1165 + 4*f**3 + 583 + 3*f**2 + 579 to q + c*f**2 + t*f + p*f**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 21*c**2 + 3*c - 5. Let j be g(2). Let l = j + -55. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 4*q + 3. Suppose 0*t + 6 = 3*t. Suppose 13 = -5*n - 3*g, -t = -n - g - 3. Determine s(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 1:34 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cd - 6?\nAnswer: -d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*x**4 - 2710*x**3*z**2 - 77933*x*z**2 wrt x.\nAnswer: 72*x**2 - 16260*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*l**3 + 0*l**3 - 4*l**4 + 0*l**4 + 2*l + 0*l**4 in the form i*l**2 + h*l + p*l**3 + u + m*l**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20, -32, -46, -62, -80?\n\"Answer: -h**2 - 9*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -108 (base 9) to base 5\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2292 divided by 190756\nAnswer: -573\/47689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x + 3043 = 3043. Sort -5, 5, x, -59 in ascending order.\nAnswer: -59, -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 11*s**2 - 10*s + 2. Let x be c(-10). Suppose f - 3 = 0, x*u = -u - f - 3. Does 3 divide 3*(u\/(-3) - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2450 by 175.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 - 5*y**2 + y**2 - 13. Let l(j) = -j**2 + 36*j - 96. Let o be l(33). Let g be 0\/((2\/o + 0)*-3). What is h(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*s - 44 = s, -20 = 5*m - 2*s. Let u(d) = d**2 + 6*d + 2. Let i be u(m). Let o(l) = -l**2 + 5*l + 6. Let g be o(6). Solve g = 2*c + 10 - i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911710861.\nAnswer: 25799, 35339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11703255 is divided by 10266.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*f**3 + 173*f**3 - 2 + 2 - 330*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15130 and 1190.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) -3092\/13 (c) -1\/3 (d) -0.05 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12136 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3087 + -0.0913. Let x = -18 + 17. Let s = 3.1 - 3. Which is the closest to x? (a) 0 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2477077644?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 14*m + 19. Let g be j(-8). Let z be (-10*g\/(-24))\/(1\/4). Let a(u) = u - 3. What is a(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 11 = 2*f, 38*f - 12 = 3*i + 37*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.86891km in millimeters?\nAnswer: 45868910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h - 3. Let g(f) = -85*f + 50. Determine 2*g(v) + 35*o(v).\nAnswer: 5*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9673383 * 8\nAnswer: 77387064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**4 - 2*a**3 - 88*a**2 + 7*a - 70.\nAnswer: 60*a**2 - 12*a - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/9 + (-22)\/198)*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.012 - 21.012. Put z, 5\/6, -2379 in decreasing order.\nAnswer: z, 5\/6, -2379","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i - 1322 = -2258 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-153346)\/1150095 - ((-2828)\/30)\/2?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - ((sqrt(75) + 1 - sqrt(75)) + -2) - sqrt(75))*-3)**2 + (-6*sqrt(27) + -5)*5 + 2.\nAnswer: -90*sqrt(3) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83947, -1, 7.\nAnswer: -83947, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**9\/1008 + 37*f**8\/6720 - f**7\/210 - f**6\/60 - 2*f**5\/5 - 16*f**2. Let y(k) be the third derivative of b(k). Factor y(u).\nAnswer: 3*(u + 2)*(4*u + 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*h + 156*h = -89916. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1377 (base 9) to base 6\nAnswer: 4454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + -3. Let w be k\/4 - 13*-5. Let g = w + -31. Calculate the highest common factor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 1. Let u be v(-3). Suppose 0 = 2*p - 0 - 4. Suppose 4*o + 6 - p = 2*m, m = 3*o + u. Let j(g) = -g**3 - 3*g**2 + 3*g - 3. Calculate j(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 2:48 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114 - -43) + 86 + (-6 - -1) + 40?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - 81 - 201. Let t = -67 - a. Let q be (-2 + (-14)\/(-8))*t. Solve 27 - 2 = q*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205.5 - 205. Which is the closest to -3\/2? (a) -16 (b) 0.2 (c) -0.1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-8)*(-844)\/(-6330).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 5 + 2 + 0)*(-3 - 4 + 3 + 0 + 1 + 2 + (-1 + 3 - 3)*(-2 + 4 + 0)).\nAnswer: 9*o + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 0*o + 984. Let f be (-4)\/10 + o\/30. Suppose 5*z + 5*w - 35 = 0, -2*z + w - 5*w = -f. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682262.4km in nanometers?\nAnswer: 682262400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/15*(-5)\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.298161 + -0.31428. Round w to 4 decimal places.\nAnswer: -0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31075 and -1.229?\nAnswer: -38191.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.2, 4, 1\/6, -5\/4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 2:58 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o + 4 = 0. Suppose 2*t = 10, 5*k - 4*t = -t + 25. Suppose 3*q + k = 7*q, q = -3*s + 26. Solve -o*z = s - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*s - 6. What is the remainder when (-38 - -6)\/(4\/(-2)) is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + v = 30, z - 6*v + 3*v - 20 = 0. Let x(h) = -h + 15. Let d be x(z). Solve d + 1 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-736)\/(-12) + 1\/(-3). Let s = 59 - a. Let p be 3\/10 - (-2)\/((-20)\/s). What is the closest to -1 in 0, 2\/3, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93.131 - -0.131. Let j = -79.82 - -0.52. Let w = j - x. Round w to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((153\/(-340))\/(-3))\/((-1)\/((-5)\/9))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 439385 times -105\nAnswer: -46135425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 3*r - 2*r + 2*r - 2*r - 2*r - 2*r + 2*r - 2*r + (2 + 0 - 1)*(r - 3*r + 3*r) + (13 - 13 + 6*r)*(2 - 1 + 1).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -1852?\nAnswer: -1852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -67, -221, -477, -835, -1295, -1857, -2521?\n\"Answer: -51*d**2 - d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1155)\/1 + 1 + -2. Let g = -515 - v. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**4 - 11*n**2 + 3*n + 3. Let r(z) = -4*z**4 + 12*z**2 - 2*z - 2. Let o(i) = -3*r(i) - 2*w(i). What is the third derivative of o(b) wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39943000 rounded to the nearest one hundred thousand?\nAnswer: 39900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19.00874 times 17\nAnswer: -323.14858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {l: 6, f: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 698 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 - 2*p**2 + 8*p**2 - 6 + 18 - 7*p. Let q be s(5). Solve q = 2*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -1.7. Let o(z) = 2*z**3 + 5*z**2 + z + 1. Let i be o(-2). Suppose -5 = -5*l + 10. Which is the nearest to l? (a) x (b) i (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13 + 5588\/(-440))\/(2\/20). Let p(a) be the second derivative of -1\/3*a**3 + 0*a**2 - l*a + 0. Let d(w) = 53*w**2. Calculate d(p(b)).\nAnswer: 212*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 2*x + 2*x)*(-3779*x + 410*x - 8458*x - 5257*x - 852*x) to b*x**2 + n*x + f and give b.\nAnswer: -35872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5 = k - 3, -16 = k + 4*a. Suppose k = -4*p + 2*h + 16, -3*h + 12 = 5*p - 8. Suppose -b + 3*u + 2 = 0, 0 = b + p*u - 6 - 10. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2))**(-41)\/(o**2\/o**(1\/8)) assuming o is positive.\nAnswer: o**(-999\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 22 = -u, -2*u + 4*j - 77 = -79 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3)*6 - ((sqrt(7) - sqrt(63)) + -4)) + 0.\nAnswer: 4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-28)\/(-8)*((-3)\/(-84))\/((-10)\/120).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 4*u - 44 - 8*u. Let n be q(-8). Solve 16 = -5*z - n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 59*q**2 - 3*q + 127. Let d be m(59). Which is bigger: -976\/19 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8060203 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 1, u: 1}. What is prob of sequence mo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025849?\nAnswer: 11, 179, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-5\/2)\/i))\/i*i\/(i**(-1\/19)\/i)*i**(-1\/9)\/(i*i**(-32)) assuming i is positive.\nAnswer: i**(12463\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 13, 2, 0.1, -1\/20 in ascending order.\nAnswer: -4\/3, -1\/20, 0.1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/32028 and -97\/32028?\nAnswer: 32028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 + 3)*(-2 + 4 - 3) + 1 - 5 + 3 + 0 + 2 - 3 + (5 + 0 - 2)*(2 - 2 - 2) + 0 - 3 + 0)*(0 + 2*s**2 + 2 + 2) as w*s + j*s**2 + t and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 282*f**2 - 4233*f - 15318.\nAnswer: -3*(f - 74)*(f - 23)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311078 is divided by 202?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(5\/(20\/(-6)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0.1 (c) -6 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 116 = 2*b - 76, 0 = -2*b + 4*n + 184. What is the least common multiple of b and 280?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 11*b**2 - 11*b - 5. Let g be a(-10). Suppose g*z + 2*v = 14 - 7, 3*z - 8 = -5*v. Solve 3*f - 11 - z = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 476\/3 - 154. Let v = 4463 - 66911\/15. Find the common denominator of v and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 49 + 34 = -3*r, 5*g + 2*r = 4*g + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppu. What is prob of picking 3 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1459737 and 1?\nAnswer: -1459737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -3555?\nAnswer: -3556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*a + 10*a - 704. What is the greatest common factor of a and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4256, 4265, 4274, 4283, 4292?\nAnswer: 4301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18010065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/21*3*(-4)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-34)\/(2\/(1\/(-1)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 196.94, 0.7, 2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -494*f**4 + 4*f**3 + 135*f**2 - 34*f?\nAnswer: -11856*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -952 + 955. Solve 4*l - 5*m + 33 - 7 = 0, v*l = -3*m - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -885*c**4 - 43*c**4 + 184*c**4 + 214*c + 427*c wrt c.\nAnswer: -8928*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -929880 by 280.\nAnswer: -3321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21040 and 932335?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - q + 12201 = 0, 5*u = -18*q + 13*q + 30490. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, p: 1, e: 4, x: 2}. Give prob of sequence xe.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -5, -3, -6, -26, 1\/4 in descending order.\nAnswer: 33, 1\/4, -3, -5, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73144316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmi when three letters picked without replacement from {m: 6, n: 1, i: 3, g: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/8*(1 - 1). Let q = 10 + v. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*i = 5 - 3, -c - 2 = -2*i. Suppose -2*j + 2 = -4*w, c*j = -4*w - 3*j + 33. What is the remainder when w is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 966 = 7*w. What is the least common multiple of w and 18?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 6. Let t = 35 + -40. Give o(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 142, -1, 14, 154, 2\/9 in increasing order.\nAnswer: -1.2, -1, 2\/9, 14, 142, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5842 is divided by 819.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(2\/33)*j*j\/((j\/j**(-2))\/j)*j*j**16\/(j**(-16)*j) assuming j is positive.\nAnswer: j**(1087\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-7 + 1) - 13\/3. Let p be q\/(-22) + 1668\/22. Suppose -3*m + p = -221. Calculate the greatest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -97, -305, -649, -1129, -1745, -2497?\n\"Answer: -68*f**2 - 4*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -17. Let t = w - -6. Let r = 0.5 + -0.1. Which is the biggest value? (a) t (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 18597, 6, 4, -5 in decreasing order.\nAnswer: 18597, 6, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (24\/(-42))\/(13\/(96187\/(-2))).\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -24*i**2 - 37\/4*i**4 + 1\/3*i**3 - 1 + 73*i. What is the second derivative of f(y) wrt y?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - g + 4 = 0, -4*g + 37 = -q + 42 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 9. Let b(x) be the second derivative of -1\/5*x**5 + 1\/12*x**4 - x + 0*x**3 - 1\/2*x**2 + 0. Calculate b(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004034507 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 - 207*h + 359. Let f be g(57). Solve f = -16*z + 1540 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*k**3*m**3 + 28*k**3*m**2 - k**2 - 2*k*m**2 + 10*m**3 wrt m.\nAnswer: -84*k**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3))\/(12\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**6\/135 - 17*w**5\/90 + 3*w + 52. Determine j so that d(j) = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) 11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 2*r**2 + r - 1. Let w be g(-2). Let p(x) = -6*x - 26. Let b be p(-6). Let s(v) = -b*v - 1 - 11*v + 19*v + 0. Determine s(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u - 14. Give k(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 310*i - 314*i + 12, -4*g - 20 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 136?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 4. Let z(w) = -4. Let s(n) = -2*y(n) - 3*z(n). Give s(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(14 + (-325)\/26) - (0 - -20).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 4*s**2 + s + 2. Let j be 6\/1*1\/3. Let q(i) = -2*i - 3*i**3 - 1 + 9*i**2 - i - 4. Calculate j*q(c) + 5*a(c).\nAnswer: -c**3 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5504899 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) -4\/9 (b) 9\/4 (c) 2\/9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + -49 + 25 + (-5 - -7).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1956*a + 4*a**2 - 1956*a. Let h(t) = -t - t + 0*t. Calculate h(j(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60.9646 + 60.9. Round q to 3 decimal places.\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-6) + (-2)\/3. Suppose -64 = -k - 0*o - 5*o, 4*o = s*k - 100. What is the greatest common divisor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by -33.\nAnswer: -112\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 391, -10 in decreasing order.\nAnswer: 391, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -54, 2, -4 in decreasing order.\nAnswer: 4, 2, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7 = -5*i, 4*i = -q + 6*q - 11. Factor -a**3 - 47*a**4 + a**3 + 44*a**4 - q*a**5.\nAnswer: -3*a**4*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4854 and 33438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 + 13 - 4) + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.24 + -11.24. What is the closest to 0 in 1, 0.5, -5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - f**3 + f**2)*(-4*f + 2*f + 0*f) + 5917105*f - 1 - 5917105*f - 281*f**4.\nAnswer: -279*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-18) - (-11)\/(9900\/(-2650))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -2. Let s = y + 0. Which is the second biggest value? (a) 2 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(66) - (sqrt(66) - (4*(sqrt(66) - (sqrt(66) + sqrt(66) + -3*sqrt(66))) + sqrt(66))))\/((sqrt(66) - -1*1*sqrt(66))\/(2*sqrt(704))).\nAnswer: -56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a + 2b972?\nAnswer: 2ba10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24 times -118567\nAnswer: -2845608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -4)\/(12 - 11). Solve -4*z - r + 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 23*a + 2*a**2 - 5*a**3 + 1 - 4*a**2 + 21*a. Let c(f) = -1 - 9*f - 13*f**3 - 9*f**2 + 2 + 4. Suppose 5*u - 1 + 46 = 0. Give u*s(k) + 2*c(k).\nAnswer: k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86578 (base 9) to base 14.\nAnswer: -16c78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 181976066187252 + -272600161801595405\/1498. Let o = -9781771 - q. Let l = o + -3\/214. Calculate the common denominator of l and 9\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5\/15 - 94*l**4\/5 + 694*l**3\/15 + 72398*l**2\/5 + 42504*l = 0. What is l?\nAnswer: -23, -3, 0, 35, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 23*a**2 - 18*a - 50. Let o be z(-4). Let i be (10\/75)\/(3*16\/o). Is i <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -1, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 10733033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3517 is divided by 99?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 504*a + 4*a**2 + 3*a**4 - 1 - 503*a + 2*a**4 to the form f*a**4 + q*a + y + c*a**3 + x*a**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/35))\/(t*(t*t*t\/t**(-1\/8)*t*t)\/t*t*t*t))\/(((t*t\/t**(7\/2))\/t)\/(t*t**(5\/2))) assuming t is positive.\nAnswer: t**(-299\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4029*a = -4026*a + 4*v - 16, -3*v + 12 = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25752 (base 10) in base 2?\nAnswer: -110010010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Let p = -2 + g. Suppose 107 = 5*a + 4*v, -7*a = -4*a - p*v - 73. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -0.11, 2\/3, -3256?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -174*x**2 + 943*x - 13. What is u(6)?\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-0.04\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5 + 1 = 0. Let d be (-5)\/10*12*b. Let a be 9\/1 + 1 + 2. What is the greatest common divisor of a and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t + 2 - 8 - 2*t. Let o be h(4). Let a(f) = -18*f**3 + 2*f**2 + 2. Let j be a(-2). What is the greatest common factor of j and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 9*k**2 + 2*k - 14. Let f be r(9). Let z(j) be the first derivative of 0*j + 1\/4*j**f - 2 + 5\/3*j**3 + 1\/2*j**2. Determine z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 z when three letters picked without replacement from {h: 1, i: 1, r: 1, z: 2, t: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2408 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 14 = 2*t, 4*s + 3 = s. Let n = 10 + t. Suppose -4*z = -0*z - 12. What is the remainder when n is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1287 - 267. Is b a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -20 - (103 + -97).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*z + 162276 = -74*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 2, v: 1, o: 1, t: 2, b: 2}. Give prob of sequence to.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3367, 1833, 301, -1229, -2757, -4283, -5807?\nAnswer: -7329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 242\/2 + -1. Let f = -3697 - -3595. Let c = k + f. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = m - 53, 3*m + 2 = 5. What is the common denominator of (q\/(-546))\/((-2)\/(-321)) and -61\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -749 + 749. Suppose l = a - 76 + 1. What is the highest common factor of a and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 17647392 in increasing order.\nAnswer: -2, 0, 17647392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 114\/54 + 1*(-4 + 2)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -61, 82 in increasing order.\nAnswer: -61, 2, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/(-1560) + ((-217)\/(-12) - -1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 8\/(-2))*(-57)\/152\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*h - 24, 5*h = 4*v + 2*h - 11. Let w be 65\/200 + v\/8. What is the nearest to w in 0.3, 1, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 11*i + 66 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-4))\/(14\/56). Suppose -3*p - 4*f = -w, -4*f + f = -15. Let h(m) = 5*m + m**3 + 4*m**2 - 5 + m**2 + m**2. Calculate h(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6567*n**2 + 67*n**3 - 6567*n**2 + (-3*n**3 - n**3 + 3*n**3)*(-3 + 2 + 2))*(-11 - 12 + 69).\nAnswer: 3036*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.9529 and 107.557377.\nAnswer: 105.604477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2*h)\/(h\/((h*h**5\/h)\/h))*(h**(-1\/3))**(26\/9)*(h**1)**(-3\/7)\/(h**1*h*(h*h*h*h\/h**4*h)\/h) assuming h is positive.\nAnswer: h**(493\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**7\/4200 + b**6\/900 + b**5\/600 + b**3\/2 - 3*b. Let k(t) be the second derivative of l(t). Solve k(p) = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1022)\/455 + 3 + 4\/(-26).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -7. What is the remainder when o is divided by 0 + (-2 - 1) - -3 - -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/20*10\/14?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 190 = -3*n, 0 = 12*h - 14*h + 5*n + 88. Let k = 54 - h. What is the lowest common multiple of k and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 25. Let r = -0.1 + 0.12. Let b = r + 2.98. What is the second biggest value in b, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**2 + 13*w + 5. Let c(t) = -8*t**2 - 14*t - 5. Let l(s) = -7*b(s) - 6*c(s). Let g be ((-10)\/(-4))\/((-2)\/4). List the prime factors of l(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1782713877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*w + 10*w. Suppose -s - 5*c = -53 - 14, 0 = -2*s - 4*c + 104. What is the remainder when s is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 273.786 nanograms?\nAnswer: 0.000273786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293416720?\nAnswer: 2, 5, 373, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -0.63, -2, 1122?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let o(u) be the third derivative of 3*u**4\/8 + 2*u**2 + 42. Let d = -656 + 661. Calculate d*o(z) - 40*k(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 438700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.554057 + 10?\nAnswer: 9.445943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 13*u**2 + 22*u + 89. Give p(-12).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/4 + 9483*g**4\/4 + 9487*g**3\/2 - 9483*g**2 - 18970*g = 0. What is g?\nAnswer: -2, 0, 2, 9485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4166 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 355, 383, 461, 613, 863, 1235, 1753?\n\"Answer: 4*l**3 + l**2 - 3*l + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 445 = -4*y, 5*p + 33 = -3*y + 275. Solve -69*r + 89 = -p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1567?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -572 - -571.9. Which is the biggest value? (a) 0 (b) -1 (c) 2\/3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*w = 7974 - 4645 + 7045 for w.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*(-23)\/(-299))\/(30\/12).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*x - 567 = -212*x + 425*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -135 + (10 + -30 + 2 + 25 - (0 - 9)).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfffj. Give prob of sequence fj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*68.435\nAnswer: 68.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -31*l - 236. Give y(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**2 + 71*m - 109. Let p be n(11). Let s = -199 - -135. Let y = p - s. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60850654.\nAnswer: 2, 19, 937, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -7 + (3 - (-3 - 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2113092.\nAnswer: 1\/704364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 14 + -30 + 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 51 = 39*a + 166 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17a44 - 0?\nAnswer: -17a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 722 and 793098?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 (base 16) in base 2?\nAnswer: 110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -111001 (base 2) to base 3\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*d - 21 = 6*d, -4*y - 6 = 2*d. Let s be (y - (-574)\/12)*-3. Let q = -142 - s. Which is bigger: 6 or q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i + 70. Let c(q) = 3*q + 34. Calculate -13*c(n) + 6*j(n).\nAnswer: -9*n - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -26054.\nAnswer: 10421.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 4498\nAnswer: -3\/4498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 5 (c) 0 (d) 501 (e) -1\/2 (f) -1.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(3\/(3 - 0)). Let t = 13639 + -218313\/16. Calculate the common denominator of (-57)\/(-36) + (-9)\/(n - -2) and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121010220 (base 3) to base 11.\nAnswer: 892a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-4))\/((-9474)\/1896 + 5). Let z = i + 3320. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04878*-1687\nAnswer: -82.29186","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -4445, -8979, -13565, -18191, -22845, -27515, -32189, -36855?\nAnswer: -41501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddd. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118221.\nAnswer: 3, 157, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4365 - -6135. What is the remainder when n is divided by 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/27*(-15)\/(-2). Suppose -h + 26 = 4*f. Suppose 3*k = 3*g - 24, -f*k + 1 + 3 = 2*g. Calculate the remainder when 10 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3879*f**4 - 1458*f.\nAnswer: -46548*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 1 g when three letters picked without replacement from {c: 4, y: 2, x: 4, w: 1, g: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:40 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 3, -6.\nAnswer: -6, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**4 - 4610*d**3 + 1168465*d**2 + 37407270*d + 70103880 = 0.\nAnswer: -1124, -27, -2, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 73ef (base 16) in base 3?\nAnswer: 1111201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beeb when four letters picked without replacement from {b: 17, e: 3}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -65*x. Let b(w) = 21*w**2. Calculate b(r(s)).\nAnswer: 88725*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5238*k - 625*k - 734*k + 390*k + 1603*k.\nAnswer: 5872*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.95 + -5.75. What is the closest to 13 in -5, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 5*k**2 + 0*k**2)*(-2 + 2 + k**2) - 2*k**4 - 1515*k**2 + 733 - 2892 + 1516*k**2.\nAnswer: -4*k**4 + k**2 - 2159","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*s**3 - 35*s**3 - 37*s**2 - 4*s**3 wrt s?\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1314002112 - -3?\nAnswer: -1314002104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*v + 3, g = -5*v + 2 - 24. Let u be g\/(-12)*2 - -1. Let j be ((-2)\/(-5))\/(2\/10). What is the nearest to u in -2, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1736, -3171, -4656, -6191, -7776?\n\"Answer: -25*v**2 - 1360*v - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) -1357 (c) -13 (d) -4\/3 (e) 110\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22\/(-6))\/(1\/3). Let c(l) = 2*l**2 + 13*l + 16. Is c(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.187824 plus 152?\nAnswer: 152.187824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 = -10. Suppose -w*v + 10*v - 231 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 51. Let b be h(27). Solve -23 = -4*z - 5*a, -b*z - a + 18 = 3*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -146 - -157 - (-10)\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 3*h + 9. Is n(7) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*g**3\/3 - 55228*g**2\/9 - 109934*g\/9 - 54880\/9 = 0. Calculate g.\nAnswer: -27440\/87, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1783 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-7)\/p)\/((p*p*(p\/p**(1\/4))\/p)\/p*p)*p**(-12)\/(p*p*p\/p**(-4\/13)) assuming p is positive.\nAnswer: p**(-1199\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*l + 87*l - 165*l + 5*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 523660 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74507 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*a**6 - 9*a**5 - 58*a**3 + 4*a**2 - 6*a - 2943.\nAnswer: -5880*a**3 - 540*a**2 - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2923 is divided by 94.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176018 is divided by 130?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 3*h + 5*u, 8*u - 17*u = -8*u + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6087 bigger than -66942\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.5 + -0.5. Let x = y + 8. Let n = x + -2. What is the closest to 0.1 in -1, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*v + 7*v - 15000, 4*v = -3*f + 15000. Round f to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -3\/8*j**4 - 15*j**2 + 0*j**3 + 0 + 1\/20*j**5 + 0*j. What is the second derivative of a(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*i - 5*h = -927*i + 4, -3*i + 4*i - 3*h = 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 1995?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 15\/12)*(-140)\/7. Solve -w = -2*t + 6, t = k*w - 2*t - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 1:39 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4.2 (b) -0.4 (c) 0.3 (d) 237 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f - 22*f - 17*f to the form q*f + z and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268 + -257 + -4 + -1 - 60.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2267 + -5?\nAnswer: -2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Let x be (3 - 1)\/((-5)\/2). Let l be 386\/(-176) + 2 + (-4)\/22. Which is the closest to j? (a) l (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-4)*1*1. Find the second derivative of d - 2*r - 1 - r - 4*r**4 wrt r.\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -3, -1\/11, -1.1, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*x + 112 = 79*x. Let d be (x\/(-32))\/(21\/(-18)). What is the closest to 0 in -0.2, d, 13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**9\/1008 - x**8\/280 - x**7\/280 + x**6\/60 - 7*x**3 - 9*x**2. Let z(l) be the first derivative of n(l). Factor z(c).\nAnswer: 3*c**2*(c - 2)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r = 16. Let n = r - -21. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*s + 18 = -4*w, 4*w + 2*s = -16. Let r be (-3)\/3 - -2 - w. Is 4 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*c + 670 = -258, 0 = -5*i - c + 1549. Calculate the remainder when 1188 is divided by i.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*a + 44990049 = -12*a - 39*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = i - 4*i. Suppose -5*l + 15 - i = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/649 and -29\/1253101?\nAnswer: 13784111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -27 + 0*n - 1\/2*n**2. Let g(p) = 42*p. Give b(g(f)).\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b - 228 = 0. Suppose -a - 4*a = -80. What is the remainder when b is divided by -2 + 16 + a + -10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82043303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u = 17*u. Solve 10*h - 30 = -u*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -45*d**2 + 3 - d - 2 + 44*d**2. Let n be p(-2). Suppose y - 13 = -4*y + 4*t, -24 = -3*y - 3*t. Sort n, -3, y.\nAnswer: -3, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1440399\nAnswer: 7201995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*6*sqrt(156)*-1)\/(sqrt(363) - -2*sqrt(363)*-3).\nAnswer: -3 + 12*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -73758860.\nAnswer: -73758865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2\/1051, -4, 3.\nAnswer: -4, 2\/1051, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a. Suppose j + 51 = 5*f, -f + a*f + 5 = 5*j. Calculate the common denominator of -81\/22 and (4\/f)\/((-8)\/(-1010)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from dddqqfddfdddddddfqd.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 180, 199, 240, 309, 412?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (17 + -5 + -6 + -9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 7*x**2 + 6*x - 4. Let y be z(6). Let f = y + 9. Let t be (-4)\/(-22) + 14\/(-77). Solve -f*p = -p + 5*r - 8, t = r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(1\/2))**(2\/115))**7\/((b*b**(6\/11)*b*b)\/(b\/((b**6*b)\/b)*b))**(38\/3) assuming b is positive.\nAnswer: b**(-362479\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/1 + (3 - 4). Let h be 6\/(-2) - (-21)\/c. Suppose -2*j = -2*i - 3*i - 628, -4*j + 3*i + 1270 = h. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Suppose -3*k - 1 - o = 0. Suppose -3*w - 1 + 10 = 0. Sort 0, w, k.\nAnswer: k, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2844 (base 12) to base 15\nAnswer: -15aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 22*s - 36*s = -10*s - 31, -12 = -3*f - s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56972 = -5*z + d + 56989, -2*d = z - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {i: 4, b: 3}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 401*t**2 + 52*t - 636*t**2 + 236*t**2 as w*t**2 + l + s*t and give s.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1. Let k(v) = -2*v - 2. Let p(h) = k(h) - 2*o(h). Let n be p(2). Let c(y) = y**3 + 4*y**2 - y - 3. Let t be c(n). Is t greater than 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8606815 rounded to three dps?\nAnswer: -2.861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35876914 to the power of 1\/2, to the nearest integer?\nAnswer: 5990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2806945259\/3600 - -779707. Find the common denominator of 7\/450 and v.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 40201.33m?\nAnswer: 40201330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:53 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -2*u + 15, p + p - 1643 = 3*u - 1653 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 107 + -112 + 6 + -3 + -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157 - -1101\/7. Let j = -4480.9 - -4481. Let o = 2 + -5. What is the smallest value in k, j, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5444 or -5493?\nAnswer: -5493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7492 - 7362. Calculate the greatest common divisor of x and 1100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 + 46 + (-160 - -27)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/7 (b) -5 (c) -6045 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-10*v - v + 0*v) + (-3*v + 4*v + 0*v)*(1 + 4 - 3).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g. Let f(o) be the first derivative of 0*o + 0*o**2 + 2\/3*o**3 + 5. Calculate a(f(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjfl when four letters picked without replacement from fflffjjjfjj.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -714*d + 979*d - 1223*d - 861*d - 1787*d.\nAnswer: -3606*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avv when three letters picked without replacement from vaovvova.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5222 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42918, -42867, -42798, -42705, -42582?\nAnswer: -42423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 1930\/339?\nAnswer: 1930\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 209*n**4 - 44409*n**3 + 37*n**2 - 66*n - 17435 wrt n?\nAnswer: 5016*n - 266454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515 - 1192 = 132*c + 2121 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -4.5. What is the third smallest value in 6, j, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 194 + -95. Calculate the remainder when a is divided by 95\/30*8 + (-1)\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 414933855 and -0.0326.\nAnswer: 414933854.9674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + ((-629)\/37 - 3*-2). Let h(w) = 3*w + 0*w - w. Let m(q) = 2*q - 7. Let c(o) = o - 4. Let z(x) = -7*c(x) + 4*m(x). Calculate r*z(b) + 6*h(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85633425 and 954?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 17*m - 141. Let x be t(6). Let w be (x + 4)\/((-7)\/(-1015)). What is the highest common factor of 116 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121674252.\nAnswer: 2, 3, 7, 19, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2269910 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*z + 144 = 0. Let a(k) = -5*k**3 + k**2 + k - 1. Let x be a(-2). Let r = z - x. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9862 + 2.9259. Round o to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:18 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7239 <= -21716\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -6. Let z = -7 - u. Let p = 0 + z. Sort -3, 4, p.\nAnswer: -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + -4 + 1*sqrt(252) + sqrt(252)*-1*4)**2.\nAnswer: 216*sqrt(7) + 2302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.15 and 7161?\nAnswer: 1074.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 3*n**2 + 12*n + 9. Let o be m(5). What is the highest common divisor of o and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -5943631\nAnswer: -23774524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3569248?\nAnswer: 2, 111539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -72 (base 16) to base 8\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i. Let p be g(3). Let d(s) be the third derivative of s**5\/60 - s**4\/12 + 2*s**3 + 311*s**2. Is 6 a factor of d(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = 29*n - 35*n. Let h = -474 + 492. Calculate the smallest common multiple of h and n.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/5731 + 613257\/114620. What is the common denominator of (4\/(-144))\/((-28)\/2919) and w?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.71 - -0.29. Let k = t + -15.9999977. Round k to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/4 + -5 + 6. Suppose 5*v + w*q + 165 = 0, 2*v - v + 21 = -4*q. Is v at least -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. Let h = 1 + -1.1. Let l = -340 - -335. Sort l, a, h in descending order.\nAnswer: a, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 15895902*n + 21056641699467.\nAnswer: 3*(n - 2649317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3400604\/13 or 261585?\nAnswer: 3400604\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9763887us to minutes.\nAnswer: 0.000000016273145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 47. Suppose 22*u - 24*u + 10 = w. Suppose -u*k + 94 = 5*l - 81, -2*l = 5*k - 169. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d9 (base 16) in base 8?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 + 6*m + 5. Let i be b(7). Round i to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 5) to base 8.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -7, -260, 2.\nAnswer: -260, -7, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z + 9 = 0. Let u(o) = o**3 - 3*o**2 + 3*o + 4. Let s be u(3). Put 7, z, s in decreasing order.\nAnswer: s, 7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0564991 decades to centuries.\nAnswer: 0.00564991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77\/2 + 37. Let d = 0.24 + 4.26. Let f = d - 5. What is the smallest value in f, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/8, 0, -2, -82\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q. Let m(t) be the second derivative of 1\/2*t**4 + 0*t**3 + 0 - 6*t + 0*t**2. Determine l(m(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 - (-14)\/10. Let i = 1 + t. Suppose -2*h = -i*b + 20, -5*b + 3*b + 3*h = -23. What is the highest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/37 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486 - 1462 + 488 + 488 + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17829905, -17829906, -17829907?\n\"Answer: -y - 17829904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3571*t**6 - t**5 - 5*t**2 + 335?\nAnswer: 428520*t**3 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1832, 1820, 1808?\nAnswer: 1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100 (base 5) in base 11?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1528.84 - 1528.869. Let z(d) = d**3 - 6*d**2 + 6*d - 7. Let c be z(5). What is the closest to 0 in r, c, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - -66. Let g be (87\/9)\/((-1)\/(-3)). Suppose -21*z = -g*z + x. Solve -2*m = -3*h + 8, 3*m - z = -2*h - m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1846*j + 1851. Let i be d(1). Suppose 4*a = -2*h + 12, 2*a + 2 = -0*h + h. Put i, -1, 1, h in decreasing order.\nAnswer: i, h, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 2*a**3\/3 - 37*a**2\/2 + 16*a - 42. Let i be t(13). Is i greater than or equal to -127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 156 = 184. Let v = 179 + j. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - h + 1271 = 0, 5*x = -0*x - 4*h + 3185. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 3*k = 60. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*c**2 + 471*c**2 - 11*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 0 + 0)*(-1 - 2*x + 1) + (-x + 4*x - 2*x)*(3*x + 0*x - 4*x) to the form g*x + o + j*x**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 884779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-3)\/2) + 0. Suppose s*u = 52 + 8. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 10*w - 9. Calculate d(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1486132 divided by -371533\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 5*z**2 - 2*z + 4. Let f be r(-4). Let n be 18\/(-4)*(-4)\/3. Let t = n + f. Solve 3*y + 5*o - 25 = 0, -y - t*o = 3*y - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 2562. Let h(r) = -97 + 3*r**2 - 46 - 49 + 192. Calculate o(h(t)).\nAnswer: 3*t**2 + 2562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 38*t**2 - 107*t + 70.\nAnswer: -(t - 35)*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u*u*(u*u**(-5\/6))\/u*u)\/(u\/u**0)**25*((u**2\/u)\/(u*u**6))**41 assuming u is positive.\nAnswer: u**(-1613\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 164513180285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 183014.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3238 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 2*o + 5. Let i(l) = -l**3 + 4*l**2 + 4*l + 11. Let s(p) = 2*i(p) - 5*m(p). Suppose -2*h = 3 + 1. What is s(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + b - 1. Let u(r) = -2*r**3 - 11*r**2 - 4*r + 18. Let x(s) = u(s) + 3*w(s). Let z be x(11). Suppose 3*f = -z + 16. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025886868 to six decimal places.\nAnswer: -0.002589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 30*y**3. Let j(g) = 2*g**3. Give h(x) - 30*j(x).\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-16) + (-50)\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*g = -8, 17 = -u + 5*u - g. Suppose -4*x = -u - 8. Solve -x*k - 2*j + 17 = 0, 2*j = k - 0 - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4907 is divided by 232.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104038371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**8\/504 - d**7\/105 - d**6\/90 + d**5\/45 + d**4\/12 + d**3\/9 + 7*d**2. Factor k(r).\nAnswer: -2*(r - 1)*(r + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - -2*(-3)\/(-3). Suppose -2*l + l + 5 = p. Suppose l*o - 81 + 11 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -35) + 4 + 18 + 5?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2539*x + 366*x + 107100 = 355*x for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 21*x + 30. Let n be t(-7). Let g = n - -122. Solve r - 3*y + g = 10, -2*r = -4*y - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*x**4 + 16*a**3*x**3 + 2*a**3*x**2 - 2*a**3*x - 41*a**2*x wrt x.\nAnswer: -48*a**3*x + 96*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -304622, -2, 0.04 in decreasing order.\nAnswer: 0.04, -2, -304622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = b - 6, -4*n = -0*b + 2*b. Let w(l) be the third derivative of 0 + 0*l - 7*l**b + 1\/6*l**3 + 1\/24*l**4. Give w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.43534 times -2?\nAnswer: -24.87068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.890469nm in meters?\nAnswer: 0.000000005890469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -833*i - 4*j = -836*i + 5659, -3*j - 5658 = -3*i. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227692 is divided by 2070?\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**2 - 5*g - 5. Suppose 4*x - 28 = -4*v, -3*x - 2*v + 14 = -4. Let o(n) = 5*n**2 + 4*n + 4. What is x*w(a) + 5*o(a)?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3535212+25964.593\nAnswer: 25964.9465212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 5 (c) 0.12 (d) -6 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*h = 10964 - 753, 2*a + 4080 = -3*h. What is the common denominator of -8 + (-5 - a\/168) and 151\/120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + u + 457, 0 = b - 3*b + 2*u - 226. Let h = b + 126. Solve -i + 5*m - 5 = -25, 5*i - 3*m = h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*l*u**4 - 305*l*u - 29*u**4 - u wrt u?\nAnswer: 156*l*u**2 - 348*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-2*(-2)\/(-6)). Suppose -3*l + 5*a + 166 = d, -3*l - 3*a = -123. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -160, -415, -684, -967, -1264?\n\"Answer: -7*o**2 - 234*o + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8748894 is divided by 1833.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2 - (-14)\/(-7). Let d(y) = -4*y + 3. Let j be d(9). Let t be (-6)\/(-33) + 28\/j. Which is the closest to -0.2? (a) x (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 83669\/11, 269.\nAnswer: 0.2, 269, 83669\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4*p = -16, -5*p - 159 = -5*w - 144 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (5 - 3 - 4) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538 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: Calculate 936 divided by -104.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5763 - ((-15 - 3) + 9).\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191 + 4331 + 567 + 2*w + w - w.\nAnswer: 2*w + 5089","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 11*r**2 - 13*r - 17. Let l(x) = x**3 + 11*x**2 - 13*x - 17. Let t(w) = 6*j(w) - 5*l(w). Let i be t(-12). Put i, -1, 5 in increasing order.\nAnswer: i, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = b - 3*u + 1, 0 = -5*b - 5*u + 25. Let h(f) = 25 - f**b + 2*f**2 + f + 4*f - 5. Let z be h(12). What is the highest common divisor of z and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670 = 144*i + 11*i - 1810 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*1 - sqrt(143))*3)\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itu when three letters picked without replacement from {i: 1, u: 5, q: 5, t: 5}?\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.7, 7\/3, 1, 0.05 in decreasing order.\nAnswer: 7\/3, 1, 0.05, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5256 and 4893774?\nAnswer: 58725288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + -3. Let d = -4 - p. What is the greatest common divisor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*h**2 + 42*h**3 + 2*h + 34*h**2 + 35*h**2.\nAnswer: 42*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -10\/9, 0, -3, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15c (base 15) in base 14?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20033013 (base 4) to base 9.\nAnswer: 51243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -12. Let r = -7 - t. Which is the nearest to -1? (a) r (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179964 - -3152\nAnswer: -176812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*l - 112*l = -33. Let q be 30\/4*(-22)\/l. Solve -3*g + 4 + 13 = -q*r, -3*r - 5*g - 17 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11222133 + -3077867. What is o rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39915883 and 17106807.\nAnswer: 119747649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -f - 2*f, 48 = 2*v - 3*f. Let y = v - 7. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 1458*r + 1\/6*r**3 + 26244 + 27*r**2 = 0.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -320 + 561. Let c = -138 + p. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - y + 108, 5*y + 59 = w - 17. Suppose 130 = 4*j - 3*z, j - 4 = -5*z + 17. Let p(h) = 27*h + j*h - w*h. Let f(q) = -7*q**2. Determine f(p(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from ccxccxl?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*s + 362*s - 143*s + 3*s**3 - 2*s**3 as q*s + w*s**3 + k*s**2 + b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 - 177 + 268*u.\nAnswer: 268*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*x - 405*x = -1991604. What is the ten thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (41*a + 2*a + 2*a)*(-3 + 4 + 1) as y + n*a and give n.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8560 and 2260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5033757374.\nAnswer: 2, 2516878687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*o - 113*o - 1 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-127)\/(-42) + -3)\/(1\/(-16)*4).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c42 + 4?\nAnswer: -2c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, n: 1, i: 2, o: 2}. Give prob of picking 1 n and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427670?\nAnswer: 2, 5, 42767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 97?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 103390, 89.\nAnswer: 3, 4, 89, 103390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 735, 11, -1\/65 in descending order.\nAnswer: 735, 11, -1\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 6*q**2 + q - 4. Let c be i(3). Let w = -147.99 - -148. Is c at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*k**2*x**3 - 11*k**2*x**2 - 64*k*x**2 - 4*x**5 wrt x.\nAnswer: -258*k**2 - 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22033 - -22034. Let w = -0.1 - 0.2. What is the nearest to a in w, 5, 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 313?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10789209 by 1198801.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**5 - 15*z**4 - 65*z**3 + 35*z**2 + 180*z + 100 = 0. What is z?\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -7*l - 7 + 4 + 4 - 2*l**3. Let g(k) = k**2 + 1. Let j(v) = -2*a(v) - 14*g(v). Let j(o) = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00464961 to 4 dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 11 = p, -3*z + p = -2 - 3. Let a(s) = -2*s**2 - 7*s - 3. Let k be a(-4). Let m = -6 - k. Solve m = z*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120037423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l*l**(-2))*l*l)**46 assuming l is positive.\nAnswer: l**276","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1127.5 + 1127.9. Which is the biggest value? (a) 8.5 (b) 3 (c) 0.1 (d) 2\/9 (e) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {h: 3, n: 6, b: 6, y: 2, u: 3}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216*c + 119*c + 43*c + 123*c to s + h*c and give h.\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.9 - 2.9. Let t = 0.7 - s. Let c = t + -0.7. What is the second biggest value in -5, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2343*f**2 - 2875*f**2 - 2*f + 2*f)*(-2 - 8 + 2) to j*f + z + m*f**2 and give m.\nAnswer: 4256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4256?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -236024*r + 236030*r + 5*z - 58, -r - 4*r + 49 = 4*z for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/127, 4838\/5, 3, 4?\nAnswer: 4838\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -3 + 3 + 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -228 - -230. Let m(l) = -67 + 0*l**3 + 2*l**2 - t*l + 69 + 2*l**3 - 6*l**2. Let v(c) = c**3 - 3*c**2 - 2*c + 2. Give 3*m(q) - 4*v(q).\nAnswer: 2*q**3 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6 - (-5 + 1 + -9))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 265*x - 266*x + 0 + 0. Let f(j) = 2*j. Calculate f(a) + 5*k(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -7\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1056 take away 4476?\nAnswer: -4480.1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 510 and 1185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/4*(-5)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045527?\nAnswer: 3, 7, 49787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180*c**3 - 32*c**5 - 1 + 206*c**2 - 65*c**2 - 178*c**3 wrt c.\nAnswer: -1920*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -3, 4417 in decreasing order.\nAnswer: 4417, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/26430 and 47\/385878?\nAnswer: 1929390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10772737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611*m = -615*m - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/13)\/d)\/(d\/d**(-5)))\/(d**5*d*d*d**2) assuming d is positive.\nAnswer: d**(-206\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -3501956, 2 in decreasing order.\nAnswer: 4, 3, 2, -3501956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5002205732 to the power of 1\/2, to the nearest integer?\nAnswer: 70726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**3 - 942765*g**2 - 74067625149*g - 74066682387 = 0.\nAnswer: -157127, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/4*4\/2. Suppose -5*i = -40 + w. Let v(b) = 12*b + b**3 - 64*b + 22*b + 20*b + 13*b - 3. Let x(f) = -2*f**3 - 4*f + 4. Calculate i*v(a) + 5*x(a).\nAnswer: -3*a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 46003 - 46003 + 19*c**2 as k*c**2 + l*c + z and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 37 - 33. Let u be ((-8)\/(-740))\/(w\/10). Let p = -2 - -2. Sort u, -2, p in decreasing order.\nAnswer: p, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 6*w - 90. What is the remainder when 23 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*g - 4. Let t(a) be the third derivative of 0*a**4 - 1\/420*a**6 - 2*a**g + 0 + 0*a + 0*a**3 + 0*a**5. Suppose t(m) = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18666588 (base 9) to base 7.\nAnswer: 143115335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 + 13*q**2 - 6*q + 15. Let i be k(6). Calculate the highest common divisor of 6 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 19 = -g, -6*u + 3*g = -3*u - 12. Let l(t) = 5*t + 1. Calculate the remainder when l(u) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/10*-1 + (-1086)\/(-30). Let r be (b\/(-27))\/((-4)\/(-114)). Calculate the smallest common multiple of r\/(-6) + (-5)\/15 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 187915806?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939983931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(204) - 1*sqrt(204)*-4)\/(sqrt(96)\/(sqrt(8) + sqrt(968) + sqrt(968) + sqrt(968)*1 + sqrt(968) + sqrt(968))) + 4.\nAnswer: -224*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 6*s**2 + 6*s - 3. What are the prime factors of w(6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 182628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 15*b + 10. Is h(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1033, -1033, -1025, -1003, -961?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - f = -5 - 6, -f = v - 7. Suppose h = v*h - 13. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33332\/(-338) - -98 - 140\/26?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Suppose -f + s = 0, -t = -5*f - 26 - 41. Suppose d = 2*d - t. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*k - 3*z - 2*z, -z = 5*k + 36. Let b be 6\/8 + (-17100)\/(-48) + k. What is the highest common divisor of 50 and b?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*d + 23, -2*n = n + 2*d - 10. Let r be ((-156)\/(-9))\/(-1)*-6. Let i be r\/(-40) + (1 - 4)\/(-1). What is the closest to i in -5, -2\/3, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k - 7*k - 6*k + 20*k - 11*k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 2 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3415 is divided by 1105?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*z + 130*z - 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -1888.\nAnswer: 13\/1888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24*3\/(-25)*(-210)\/6048*24\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.13 and -4122380?\nAnswer: 4658289.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t - 2 - 6 - 7)*(-2*t + 4 - 4)*(-1 + 3 + 2).\nAnswer: 48*t**2 + 120*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*p + 25, 4*h + 22 = -10*p + 7*p. Solve p*l = 27 - 31 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/(-60)*414\/759*13\/((-260)\/1175)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54800 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzfsasabb. What is prob of picking 1 a, 1 m, and 1 f?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-276)\/9*-8*15\/160.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1684*b**2 - 2*b + 1643?\nAnswer: -3368*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1610363, -1610050, -1609737, -1609424, -1609111?\n\"Answer: 313*l - 1610676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-4) - (-3 - 225\/(-60))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -337.2 + 124\nAnswer: -213.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-2\/11)))\/((z**(-2\/15)\/z)\/z)*z**(2\/9)\/(z\/z**(2\/3)) assuming z is positive.\nAnswer: z**(1091\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -122 + 122. Suppose -4*l + 3*l - 5*f + 140 = 0, 5*f + 20 = i. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 101\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 - 0.27. Let d = -0.28 - h. Let t = -2.12 + d. Which is the third biggest value? (a) 0 (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 15) in base 3?\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 11*p = 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 458, 917, 1376?\nAnswer: 1835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101141143 (base 5) in base 6?\nAnswer: 12455344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -0.05?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21669 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3140959?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 11 - 749*a**2 + 59 + 2*a + 787*a**2. Let x(i) = -i**2. Determine x(l(s)).\nAnswer: -5776*s**2 - 304*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46.6 + -49.6. Which is the nearest to p? (a) -0.08 (b) 4 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/31372912 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 253530152 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-31)*n*n**(4\/7)*n**(-1\/25)*n*n\/n**(-21))**25 assuming n is positive.\nAnswer: n**(-1132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-4\/5)*f**(-4\/9))\/((f\/f**(-1)*f)\/f*f)**39 assuming f is positive.\nAnswer: f**(-5159\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165771*x**2 - x + 165773*x**2 + x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 3 + -1 + 0. Let j(v) = -223*v**3 - v - 1. Is j(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95176.4t to grams.\nAnswer: 95176400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*o + 36*o + 5*p - 15, p = 3*o + 18 - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + w + 16 + 8 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 + -0.1. Let z = 0.48 + g. Let w = z + -0.9. Which is the nearest to -1? (a) 1\/2 (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 58, 18, 1, 983, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*z - 5*y + 40, -4*z + y + 17 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (66\/55)\/((-3)\/(-180)) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1331) + sqrt(1331) - sqrt(1331))**2 + (sqrt(99)\/sqrt(9)*-2)**2.\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -643156482*c**2*h - 1836*c*h - 67*c - 13 wrt c.\nAnswer: -1286312964*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = 5*p - 2*d - 73, 0 = 2*p + 5*d + 114. Let l be (-6)\/(-8) + p\/(-4). Solve 25*b**2 + 17*b - 35*b + 28*b - l*b**3 = 0 for b.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021264 rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1495 and 770185.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 166977885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 7\/4, -9?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 8. Suppose 3*z = k*z. Solve 0*p + p = z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 922599*d**5 + 304425*d**2 - 2.\nAnswer: 55355940*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 2 + (-4)\/4. Are c and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 2:42 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbr when three letters picked without replacement from rrbrbrrrrrrrrrrrrb.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/(-33) - 8\/(-3). Suppose -h*v - 158 = -4*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54252 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 871 and 65727?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 23 - (4 - (-3 - -26 - 1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6*(-8)\/(-18))\/((-6)\/(-9)). Suppose 5*t - 417 = 3*y - 134, -5*t - p*y = -311. What is the remainder when t is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 946462735 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42391.31 - 42585. Round v to the nearest integer.\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 12:33 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n + 144. Is 30 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*z - z + 10, -b = -5*z - 7. Let c(w) = w**2 + w - 3. Let a be c(b). Solve -19 = -2*m - 5*k, -4*m - 5*k + a = -2*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-10))\/m)**(2\/27) assuming m is positive.\nAnswer: m**(20\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 44. What is the smallest value in -5, o, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.596 + -1.596. Let n = -8 - -7.9. Put n, -0.5, u in decreasing order.\nAnswer: u, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 68*g - 447. What is the remainder when b(7) is divided by 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((16\/24)\/((-8)\/12))\/(2\/(-6)). Solve -x + 14 = -i*b - 2, 4*b = -x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3362*m - 10074. Is z(10) a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/3272 or 0?\nAnswer: 5\/3272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 386, 364, 344, 326?\n\"Answer: s**2 - 25*s + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/2*((-288)\/54)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 8 + 8*o**2 + 3*o**2 + 38.\nAnswer: 11*o**2 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 9:33 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) -229\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -7.3. Let q = 12258134 - 12258140.999997. Let b = u - q. What is b rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-58.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068543279 to the power of 1\/3, to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98302 is divided by 9829?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, 4, 2\/19, 4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (149\/(63772\/8025))\/(3\/(-12)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -78*m**2 + 12*m + 153. Let h(o) = 69*o**2 - 11*o - 155. Determine 9*h(k) + 8*y(k).\nAnswer: -3*k**2 - 3*k - 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 68796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1192*d - 2 - 3 + 4 + 678*d + 609*d. Let y(p) = 5*p. Determine n(y(f)).\nAnswer: 475*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - z - 1. Let c(d) = 6*d**3 - 3*d**2. Let f(q) = c(q) - 5*l(q). Let n be f(5). Calculate the greatest common divisor of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 492, -4, -2, 3 in descending order.\nAnswer: 492, 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5240559 and 102351.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 684 and 855?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (224\/16 - -30) + -41. Let k(b) = b + 3*b**2 - 1 - 9*b**2 + b. Let s(w) = -w**2. Calculate h*s(c) - k(c).\nAnswer: 3*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/2*32\/(-12). Let f = -4 + v. Let m(p) = -p**3 - p - 5. What is m(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/6*32\/(-6). Let y = 20 + s. Suppose 2*a = y + 6. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -10. Let h be (9\/((-180)\/x))\/(4\/10). Let z be 4*5\/h*2. Calculate the greatest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1832790 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1663080893 + -1661476069.1856. Let m = f - 1604740.81440049. Let s = m - 83. Round s to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 8*y**2 + 13*y - 7. Calculate the remainder when u(7) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -21*p + 484. Let u(n) = 135*n + 293. Let c be u(-2). Let d be s(c). Suppose -37\/4*x**2 - 5*x - d - 9\/4*x**4 - 15\/2*x**3 = 0. What is x?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 c, and 1 s when four letters picked without replacement from cszzc.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15\/2 (b) 0.2 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/87, -5, -0.4, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17 from -13546137549.567.\nAnswer: -13546137532.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 8*h + 9*h + h + 3*h**3 in the form c*h**2 + k + b*h + p*h**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -8 + 17 + -27 + -3 + 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 27 = -r, 2*w + 5*r - 31 = -4. Let s(v) = -3*v + 13. Give s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284 divided by -284\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 74267561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -137 - -134 - (-2 + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324103?\nAnswer: 13, 107, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 242*l - 240*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 505008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + s - 386, 0 = -5*z + 5*s + 12 + 368. Suppose 4*q = 23 + z. Solve 2*b + 1 = -2*j + 3, -5*j + b - q = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 5*v + 12, -6*v = -7*v - i + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 27 = -3*b, 3*b - 5*y + 9 = -4. Let q = b - -9. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 815*o**3 - 85*o - 7?\nAnswer: 4890*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -1, 3, 523129 in decreasing order.\nAnswer: 523129, 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111203103 (base 4) in base 7?\nAnswer: -2656426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -4625909956?\nAnswer: 4625909955.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (17 - 8)) + -15 + -3\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718 is divided by 656.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 99504 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 0.08 (c) -3 (d) 31\/5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**3\/3 - 101. Let u(i) = -41*i + 6. Let f(p) = -19*p + 2. Let w(q) = 5*f(q) - 2*u(q). Calculate w(s(c)).\nAnswer: 13*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 6. Suppose 4*c = 2*c + 2. What is the remainder when 1 + (c - -3)*3 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 3*r**2 - 2*r + 2. Let s be v(2). Let a(p) = -26*p**2 - 4 + 5 + p + 27*p**s. Give a(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4414 is divided by 369?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-184 - -174)*(-12)\/(-565). Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -38\/15 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23851\/10 - 45\/30. Let x = -2395 + y. Are x and -11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30200012203 (base 4) to base 6\nAnswer: 154124151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert cc8 (base 14) to base 4.\nAnswer: 213200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 438\/5694 + (-2 - 313\/13).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a microsecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*(-28 - 2544\/(-96))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, -24, 4, -4, -39 in increasing order.\nAnswer: -39, -24, -20, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 104*c**2 - 630*c.\nAnswer: -2*c*(c + 7)*(c + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7539\/8668 - -26\/591. Find the common denominator of 95\/8 and q.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f**2*z**2 - 7*f**2*z - 5*f*z**2 - 33*f*z + 8*z**2 + 2*z - 2 wrt z?\nAnswer: -12*f**2 - 10*f + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.5, 0, -2, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.01 - 378257.421.\nAnswer: -378242.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 189958 - 146837564\/773. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1778*m**2 + 1790*m**2 + 1779*m**2 - 5349*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207420 divided by 5?\nAnswer: 441484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51 + 46?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 43. Let y = -3 - -13. What is the remainder when f is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000184 to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 20206560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 9*r + 16. Suppose 5*a - q = -2*q + 14, 2*q = 4*a. Suppose 0 = -0*l + a*l - 16. What is the tens digit of n(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**8\/840 - s**7\/525 - s**6\/50 + 7*s**5\/75 - 11*s**4\/60 + s**3\/5 - 56*s**2. Let o(z) = 0. Calculate z.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1151*x**2 - 598*x**2 - 654*x**2.\nAnswer: -101*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -64*s + 19. Let w be k(-3). Let h = 297 - w. Calculate the greatest common divisor of 43 and h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 8:14 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4093 + 4100 + 4087 - 12342 - 2*p**2.\nAnswer: -2*p**2 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1259 - 995. Put 4, h, -5, -4 in increasing order.\nAnswer: -5, -4, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26328233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2)*(-5 - -6). Let j(x) = -52*x - 6. Is j(t) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*u - 10664, -3*u = 13*b - 18*b - 16029. List the prime factors of u.\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 43*r**3 + 134*r**2 - 1414*r - 4283. What is h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2593280419.\nAnswer: 17, 152545907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b99 (base 14) in base 2?\nAnswer: -100100101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36 - -34b81?\nAnswer: 34bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -8*v - 10*v + 17*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**4\/4 - v**3\/3 + v**2 + 182. Let b(m) = 5*m**3 + 32*m**2 + 157*m - 450. Let q(w) = -5*b(w) - 20*g(w). Factor q(i).\nAnswer: -5*(i - 2)*(i + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5363000 to the nearest 100000.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c**2. Let x be 4 - 2 - (12 + -13) - 2. Let f(q) = 661*q + x - 1326*q + 662*q. Give f(b(m)).\nAnswer: -18*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92*t**5 + 106*t**5 - 197*t**5 - 52*t + 360*t**2 wrt t.\nAnswer: 20*t**3 + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/120*5*(-7192)\/406?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/168 and 53*(28790\/1920 - 15)?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**2 + 84*j - 74. Let o be t(13). Which is the second smallest value? (a) -2\/15 (b) o (c) -2\/41 (d) -4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207876.853 rounded to the nearest one hundred?\nAnswer: 207900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16108660.326 rounded to the nearest one thousand?\nAnswer: -16109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/37? (a) 28486 (b) -1\/4 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g + 2*g - 8*g)*(-7 + 7 - 9*g) + 3*g + 3*g**2 - 3*g + (0*g - g + 3*g)*(-2 + 2 - g).\nAnswer: 127*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 7*l**2 + 11*l + 3. Let z be s(-2). What is the least common multiple of 120 and (-5)\/(-10)*12*3*z?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1.04, 2 in descending order.\nAnswer: 2, 1.04, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*a - 0*a + 46, 2*a - 4*j = 52. Suppose -3*q - a = -4*q. Let w(l) = 6*l**3 - 3*l**2 + 2*l + 2. What is the remainder when w(2) is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (116\/(-8))\/((-2)\/4). Suppose 5*v = 2*u - i, u + 5*v + 4 + 19 = 0. Suppose -8 = -u*n + n. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**4 + 141*f**3 + 6846*f**2 + 35136*f - 258336 = 0.\nAnswer: -23, -12, 4, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.7 + -0.3. Which is the nearest to 2\/7? (a) 0.2 (b) f (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2960 and 6520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/(-4) + (-2)\/4. What is the units digit of (104\/(-2))\/(x + 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 27 - (-4 + 1 - (-13 - -16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-seven fifths of a meter?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -45. Let i = t - 12. What is the second biggest value in 2, 1, -3, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2015 - 2013. Which is the nearest to 40? (a) n (b) 1\/4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 7. Calculate the least common multiple of u(-9) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 996 = 4*l, -5*l + 2*l + 597 = 3*k. Suppose -5*w + 10 = 3*c - k, 0 = 3*w - 3*c - 150. What are 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 prob of sequence mum when three letters picked without replacement from {z: 7, m: 1, u: 2, h: 10}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394*q - 381*q = 65. Calculate the remainder when 758 is divided by 75 - q\/(-1 + -4).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 12:02 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -214701, 5, -6, 1 in descending order.\nAnswer: 5, 1, -2, -6, -214701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssstsssststsss. What is prob of picking 1 s and 3 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.451 - 2.051. What is the third smallest value in -390, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 - 117.11. Let t = 4 - 3.89. Let x = f + t. Which is the smallest value? (a) x (b) -1\/3 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -72\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14643128, -14643026, -14642910, -14642774, -14642612, -14642418, -14642186?\nAnswer: -14641910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 397 + -384. Let l be 7\/8*14 + k\/(-52). Let b be (-147)\/(-12) - (-1)\/(-4). Calculate the highest common divisor of l and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**5\/30 - t**4\/4 + 2*t**3\/3 - 3*t**2\/2 + 2*t - 46. Let f(y) be the second derivative of l(y). Factor f(n).\nAnswer: 2*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, j: 2, d: 2, r: 4, e: 3}. Give prob of picking 1 d, 1 e, and 1 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**3*q*q)\/(q**(-4\/5)\/q)*(q\/q**(-1))**(10\/9) assuming q is positive.\nAnswer: q**(181\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113 (base 4) to base 12.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(153) + -1 + (sqrt(612) - (sqrt(612) + 1 + -4 - sqrt(612))**2) + -3.\nAnswer: -9 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, 4, 2, 1 in descending order.\nAnswer: 10, 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 - (-282)\/(-9). Let v = -21 - y. Calculate the remainder when 28 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10975425, 21950848, 32926271, 43901694, 54877117, 65852540?\nAnswer: 76827963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 26. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1981098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 - 54\/(-12). Let u be (21 - 9) + (-12)\/(-9)*-3. Solve u*t - x = 10*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -6. Let h(w) = 0*w - y*w + w. Let g(j) = j + 1. Let q(m) = m + 2. Let k(n) = -2*g(n) + q(n). Calculate h(k(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5585249644 + -2.\nAnswer: -5585249646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7*n. Let g be y(-2). Suppose 4*s - 3*j - g = 0, -3*s + j = -5*s + 12. Suppose -5*z + 10 = s*b - 70, 2*b - 8 = 4*z. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 553722 and 229458.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d + 26*d + 2*d - 11*d - 12*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 38, 46, 52?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**4\/24 + u**2. Let f(l) = -1. Let k(z) = z - 3. Let j(o) = -3*f(o) + k(o). What is c(j(t))?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/18)\/(6\/12).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170)\/(-50) + (0 - 2\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 3*a**2 + 8*a + 1\/3*a**3 + 1. Let k be u(-7). Calculate the greatest common divisor of 135 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 288 + -190. Let r = -86.4178 - -0.0178. Let c = r + a. Round c to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17680)\/(-715) - (-5 + 4). Which is smaller: c or 27?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247706513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 24*m - 56.\nAnswer: 2*(m - 14)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 14. Suppose 5 = -d - c. Let q = d - -25. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 315 - 202. Let j = 115 - c. Solve -y - 9 = -2*y + j*a, -5*a - 24 = -4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvv when three letters picked without replacement from {e: 6, d: 4, n: 1, g: 1, t: 1, v: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)*y*y)\/(y**(-3\/2)*y)*(y*y\/y**(2\/9))**(2\/139)*(y*(y\/((y\/(y*(y*y**(1\/4))\/y)*y*y*y*y)\/y))\/y)**(-10)\/(y**(-3\/5)\/y**(-1\/2)) assuming y is positive.\nAnswer: y**(1737377\/87570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -517190*n**2. Let y(c) = -189*c**2. What is y(a(s))?\nAnswer: -50554758762900*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*s + 47 = 0, 0*s + s - 49 = -5*f. Let t(c) = -c**3 + 2*c**2 + 14*c - 29. Let a be t(3). Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(495) + sqrt(330)\/(sqrt(24) - sqrt(6)))\/((sqrt(720) - sqrt(720)*1 - sqrt(720)) + (sqrt(5) - 3*sqrt(125))).\nAnswer: sqrt(11)\/13 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -11*d - 9. Let o = -36 + 42. Let b(u) = -11*u - 8. Let r(g) = o*t(g) - 5*b(g). Differentiate r(f) with respect to f.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*a - 60*a - 12496 = 0. Suppose 14*u - a = -2*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-55)*1*13\/(-91)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81754, 81754, 81760, 81778, 81814, 81874?\nAnswer: 81964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4344 is divided by 137?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 5*y - y)*(33*y**3 - 263*y + 263*y) + 8*y**4 - 2 + 2 in the form a + j*y**4 + q*y**2 + h*y**3 + z*y and give j.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-54))\/((-2)\/6). Let u = -46 + 46.2. Which is the second biggest value? (a) d (b) -4\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Let q = 751 - 750.9. What is the nearest to n in 0.2, -2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06837 + 0.08265606?\nAnswer: 0.01428606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13487388?\nAnswer: 2, 3, 37, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-2)\/((-4)\/58). Let s = r + -5. Calculate the highest common factor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 12260264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 1, q: 3, s: 1, b: 5}. Give prob of picking 1 l, 1 s, and 2 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**(-22\/5))*n*n\/(n*n**(-1\/8)\/n)*(n*n\/((n*n**(6\/7))\/n))**(3\/4) assuming n is positive.\nAnswer: n**(-397\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1941924 and 21\/3560194.\nAnswer: 21361164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/559 or -1?\nAnswer: 10\/559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135376 is divided by 3148.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 5*w = -599 + 648, -2*w + 20 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25127938 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -82*v - 3. Let t(u) = 10823*u + 395. Let g(h) = -h**3 + 2*h**2 + 3*h - 3. Let n be g(2). Let s(l) = n*t(l) + 395*m(l). Is s(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let u(l) = 2604*l**2. Determine u(s(q)).\nAnswer: 2604*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + u + 1. Let j(d) = -4*d**2 - 10*d + 13. Let k(z) = -j(z) + 3*o(z). Let f be k(-12). Let x = 31 + f. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, -63, -10, -3\/5 in ascending order.\nAnswer: -63, -10, -3\/5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 4*i + 2 + (2*i - i + i)*(0 - 4 + 3) - 4 + 4 - 17*i + 108*i + 74 - 74.\nAnswer: 85*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*a + 11. Let v = 20 + a. Suppose 2*q - 39 = 71. What is the remainder when q is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 12 = 3*x, 227 = 4*x - 3*i + 236 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(2\/(3 + -5)). Suppose 5*z + 5*d = -5, q*d - 2 = 8*d. Which is the smallest value? (a) z (b) 4\/17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(6\/4426)*2\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2. Let p(r) = -8*r - 4. What is i(p(t))?\nAnswer: 256*t**2 + 256*t + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 673.5591 micrograms to grams.\nAnswer: 0.0006735591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0056 or -224962?\nAnswer: -224962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 23*m**2 + m - 44. Calculate z(23).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 2*r**2 + 7 - 2 + (-r - 3*r + 2*r)*(-2*r + r + 3*r) - 3*r + r**2 + 3*r - 5*r**2 + 3*r**2 + 0*r**2 + 63*r**2 - 14*r**2 - 19*r**2.\nAnswer: 23*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5268554 divided by 1?\nAnswer: -5268554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 143*g - 1715. Determine d(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((60\/(-27) - -2) + 0)*3408\/1136?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + 1 + ((sqrt(13) - (-1 + sqrt(13))) + 3)**2.\nAnswer: 17 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = p + 2*g, 21 = -5*p + 5*g - 34 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n - 11. Let x(p) = -2*p + 12. Let u(a) = 6*r(a) + 7*x(a). Let v be u(11). Calculate the remainder when 20 is divided by 4 + (2 - -5) + v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 a factor of 967458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -16. Let x(g) = 69*g + 47*g - 100*g - 16*g**2. Let j(t) be the third derivative of -t**5\/20 + t**4\/8 - t**2. Determine h*j(q) + 2*x(q).\nAnswer: q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 + -4. Is m a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 0 + (-71235)\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9\/5))**(2\/15)*(d*d**(-1\/3))**(-1\/87) assuming d is positive.\nAnswer: d**(-1616\/6525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26086730?\nAnswer: 2, 5, 743, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*z - 18. Let u(j) = -2*j**2 + 3*j. Let q(m) = 3*m**2 - 4*m. Let b(c) = z*u(c) + 3*q(c). Let a(h) = h**2. Calculate b(a(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 618.27 + -618.2. Let i be 17\/35 + 2\/(-7). What is the nearest to 1 in t, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/324)\/((-24)\/432)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2515136\/(-356616) - 4\/(-254)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152, 156, 168, 194, 240, 312, 416, 558?\n\"Answer: t**3 - 2*t**2 + 3*t + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(504) - -1*sqrt(504))*2)\/(sqrt(972)*2 - sqrt(12)))\/(sqrt(726) + -5*(sqrt(726) - (sqrt(726)*1 + sqrt(726))) - 2*sqrt(726)*-1).\nAnswer: sqrt(7)\/374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -52*g - 1026. Let y be h(-20). Suppose -4*r - 5 = r, -3*r = 4*l - 9. Solve 0 = l*v + 2 - y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*b = 0, 0*v + b + 3 = -2*v. Let d = v - -8. Suppose 60 = d*j - 0*j. Solve 5*p - 2*p - j = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -42 - i**2 + 35 + 31. Let w(x) = 2*x**2 + 3 - 3. Calculate g(w(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.6. Let u = d - 13.5. Let z = 9.4 + u. Round z to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483279.\nAnswer: 3, 161093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 156979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 41*h - 21. Calculate i(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997b (base 12) in base 9?\nAnswer: 88115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -11*d - 260. Let k be p(0). Let b = k + 269. What is the smallest common multiple of 44 and b?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/((-1*sqrt(88))\/sqrt(11) - sqrt(8)) + (sqrt(33) - sqrt(297))\/sqrt(3) + -2*sqrt(275))**2 + 4 + -4 + (sqrt(99) + 0)**2*2.\nAnswer: 7667\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + (-88)\/(-32) - 1274\/(-8) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 29 = -13. Let r = 1 + -8. Let h = r + 7.5. What is the closest to 1 in h, -4, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2440 is divided by 1834?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 13*j + 16. Let f be s(12). Let g be -1*(-8)\/(-1*f). Let l(v) = -4*v + 2. What are the prime factors of l(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -183, -273, -361, -447?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a (base 12) to base 11.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 + 18*d**2 - 17*d - 94. What is v(0)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -105, -104, -103, -102, -101?\n\"Answer: n - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q - 7*q + q**2 + 3 - 3*q. Let a be -4*(-2 + 0\/2). What are the prime factors of t(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.1 + 28.9. Let z = 37 - b. What is the second biggest value in -0.01, 0.5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -8, -4, -2, -2, -4, -8?\n\"Answer: -c**2 + 9*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:12 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b. Let c(v) = v**4 - 5*v**3 + 83*v**2 + 5*v. Let q(i) = -c(i) + 5*t(i). Find the third derivative of q(p) wrt p.\nAnswer: -24*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -73*u - 6. Suppose -3*q - 9 = -0. Is w(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**3\/3 - 3179. Let q(n) = -4*n**2 + 2*n + 3. Determine -5*d(b) + q(b).\nAnswer: b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1507, 1511, 1517, 1525, 1535, 1547?\nAnswer: 1561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**3\/3 - s**2\/2 - 21*s + 62. Let i be t(5). Let j(a) = 9*a**2 + a + 1. Give j(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 138 = -3*j + 7*z, 6*j = -3*j + 7*j - z - 79 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/5012998 and -26\/79895?\nAnswer: 726884710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -174610?\nAnswer: 174610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 19*q**2 + 29*q + 46. List the prime factors of u(-21).\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 + 143. Suppose 4*p - 4*u = 76, -j*p + 3*p = -u - 75. Calculate the greatest common divisor of 112 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2448 and 31\/21?\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**3 + 2*o**2 + o - 2. Suppose -3*h - 43 = 62. Let b = -28 - h. Calculate the least common multiple of b and j(1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**3 - 7*y**2 - 12*y - 15. Suppose 2*j + 4 - 26 = 0. Is z(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3042430210 (base 5) to base 7\nAnswer: 103563661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*m**2)*(-12*m**2 + 25*m**2 - 4*m**2).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*t - 3 = -82*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 + 4*m**2 - 3*m**2)*(128 - 43 - 8)*(4 - 1 + 0) as l*m + d + w*m**2 and give w.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 2:12 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3337501 is divided by 2362.\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -117*g + 53. Suppose 3*b = -2*n, -2*b + 25 = 2*n + 23. What is the hundreds digit of q(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5 - 96*k**4 + 276*k**3 - 272*k**2 + 90*k.\nAnswer: 2*k*(k - 45)*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -287688*v + 6. Let m be j(-7). Let r = -32188235\/16 + m. Let q = r + -2058. What is the common denominator of q and 49\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + r + 20 = -0, -2*g - 2*r = 0. Suppose -5*d + g*u = 4*u - 320, 3*d - 2*u - 199 = 0. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8549.447l in millilitres?\nAnswer: 8549447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, n: 2}. Give prob of picking 2 w.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 14, 39, 96, 197, 354, 579, 884?\nAnswer: 1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5995 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - v - 1. Let c(k) = 24*k**3 - 3*k**2 - 3*k - 3. Calculate c(t) - 3*m(t).\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-366 + 366 - 30*t + (-3*t + 2*t + 0*t)*(2 - 2 + 3))*(0*t + t + t).\nAnswer: -66*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 6*r + 5 = -3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48686849 divided by 17959.\nAnswer: -2711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5524618 to 2 dps.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 37*s**5\/20 - s**4\/6 - s**3\/6 + 4*s**2 + 6. What is the units digit of h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 1:20 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by (80\/(-6))\/4*270\/(-10).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1305340491 - -0.059.\nAnswer: -0.0715340491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v**2 - 4*v - 12. Let t(k) = -13*k**2 - 10*k - 24. What is 7*n(i) - 3*t(i)?\nAnswer: -3*i**2 + 2*i - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/21 and -67\/13416.\nAnswer: 93912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -179, -137, -69, 31, 169, 351, 583?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 49.28 and 4.\nAnswer: 53.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.152 (b) -6\/5 (c) -2\/25 (d) -540\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -2, 28, -2183 in descending order.\nAnswer: 28, 4, -2, -4, -2183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)*s\/s**(-1\/12))\/((s*s*s*s\/(s*s**(3\/8))*s*s*s)\/(s**(2\/45)*s)) assuming s is positive.\nAnswer: s**(-4499\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 1) + 20\/5. Suppose 642*y - 3897 + 687 = 0. Sort w, y, 3, 15 in decreasing order.\nAnswer: 15, y, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6732247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d. Let t(c) be the second derivative of 29*c**3\/6 - 21*c. What is h(t(p))?\nAnswer: 58*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + -6 - (39 - 32).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**4\/4 - 4*x**3\/3 - 3*x**2\/2 - 6*x + 4. Let a be g(-4). Suppose 2*h + 92 = a*h. Round h to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 6) + -240 + 239.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from {q: 2, r: 2, c: 1, l: 1, d: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v + 2. Let w(k) = -k + 1. Let h be 1326\/(-858) - 12\/(-22). What is h*l(a) + 3*w(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**4\/12 + a**3\/6 + 4*a. What is the tens digit of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 10)*(-2)\/(-4). Find the first derivative of -4*w + 19 - 4 - 15*w**d + 4*w wrt w.\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2094, 8888, 20398, 36624?\nAnswer: 57566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 5)*(5 - 2*d**2 - 5) - d**2 - 2*d**2 + 5*d**2 + 2*d**2 - 2*d**2 + 3*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*c + 7408 = -30212 for c.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6808 - 18d4?\nAnswer: 4d14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/70 - (-4)\/(-10). Let g = -0.21 - -0.01. Let i = -0.3 - g. What is the nearest to i in u, 2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19740937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30694 - 9246. List the prime factors of j.\nAnswer: 2, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -13, -4\/7, 3\/22, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*l**3 + 793*l**4 + 31*l**3 + 95*l**3 + l**2 in the form s*l**4 + d*l + v + a*l**3 + c*l**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r + 4. Let i(d) = -d - 3. Suppose -16 = -2*z + 4*z. What is z*p(x) - 3*i(x)?\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d = 9417 - 49303. List the prime factors of d.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 203 + -215. Sort 4, 1, o, -3 in increasing order.\nAnswer: o, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006135 rounded to six decimal places?\nAnswer: -0.000614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.0669 and -142667.\nAnswer: -142663.9331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*p + 5*p - 112. Let z(f) = 1460*f**2 - 10*f - 9. Is z(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*k + 102 - 56 = 0, 3*v - 49 = -5*k. Solve 4*j = -17*i + 18*i + v, -2*i = -3*j + 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 - 370 = -4*w. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u + 21. Let b = 12 - 7. Let j(m) = -5*m + 20 + 23 - 22. Let z(h) = b*j(h) - 6*f(h). Calculate z(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*f + 4, i + 2 = 2*f + 8. Suppose 0 = t + 3, -2*n = 2*t + i*t + 64. Let k = -28 - n. Is k less than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -12. What are the prime factors of n\/8*10\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 91327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Solve -f = -y - d, 0*y - 2 = -4*f + 5*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12792 + 3752. What is f rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 4*c - 4. Let b(m) = 3*m**2 - 11*m - 11. Let w(f) = 4*b(f) - 11*i(f). Let n(l) = 9*l**2 - 3*l. Give w(n(j)).\nAnswer: 81*j**4 - 54*j**3 + 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13c5 + -4?\nAnswer: -13c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11080, -11056, -11014, -10954, -10876, -10780?\n\"Answer: 9*y**2 - 3*y - 11086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 6) in base 5?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 29*c**2 - 32*c + 76. Let v be n(30). Put v, 2, -5 in descending order.\nAnswer: v, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254*l = 1117*l + 3973 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, -3, -1\/171, -1\/6, 1\/8?\nAnswer: -1\/171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71 and 3337?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 9 - 159 = 4*k, -4*l - 2*k + 124 = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddct when four letters picked without replacement from {d: 2, i: 1, t: 3, c: 1, g: 3, q: 8}?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 2*o + 18*o as l + i*o and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 515663053?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 584 - -2?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p + 2*k = -10, 5*k = -5*p + 5. Let l be 11 + 0 - (2 + -1). What is the second derivative of -l*s**2 + 10*s**p + 6*s**4 - 3*s wrt s?\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2. Let s = 4 - 2. Let c(x) = 1 - 1 - 2*x**s + 8*x**2. Calculate c(z(w)).\nAnswer: 54*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26424154.\nAnswer: 2, 17, 777181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -16. Suppose r = -x - 3 + v, -3*r + 4*x = -46. What is the highest common factor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-214 + 146 - 1434)*(-4*c + c + c) + (2 - 2 + 2)*(-21 - 3*c + 21) to v*c + y and give v.\nAnswer: 2998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322.24063 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62.76 + -62.9. What is the nearest to 0.2 in -2\/3, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 96026871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + t + 5 = 0, -2*t + 2 = -0*h - h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 59*h**3 + 37 + 60*h**3 in the form d + y*h**3 + q*h + i*h**2 and give d.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 5. Let g(t) = 1. Let j(h) = 16*h**2 + 160*h - 5. Let d be j(-10). Determine d*g(p) - m(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 556*m**3*w**2 + 460*m**3 + 22*m**2*w**2 + 208*m*w**2 + 11597*m wrt m?\nAnswer: 3336*m*w**2 + 2760*m + 44*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 13. Determine m(25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-four fifths of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.43491 kilograms?\nAnswer: 9434910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f. Let g(z) = -184 + 6*z**2 + 185 - 2*z**2. Give j(g(w)).\nAnswer: 4*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 3*b**2 + 2*b + 3. Let a = 6 + -8. Let o be v(a). Suppose -870000 = -0*g - o*g. What is g rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*y + 85854 = -74633. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2\/5 - 28593*z\/5 + 9745974\/5 = 0 for z.\nAnswer: 354, 9177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*b + 2*b**2 - 47*b)*((1 - 1 + b)*(-4 + 0 + 2) + 4*b + 0*b - 3*b - b - 4*b + 3*b + 0 - b + 0).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cicicxciccxccxccicxc.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 306\/(-4)*8\/4. Let j be 18\/z - 2\/(-17). Solve f = -3*w + 5*f + 7, 2*w + 3*f + 18 = j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/160 and -9\/64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byobokjkobobbooyb. Give prob of sequence oyo.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c - 2*y = 88, 4*y + 217 = 5*c. Let g = c + -35. Suppose 25 = -g*m + 11*m. Solve 30 = -m*x + 5*b, 2*b - 1 = -2*x + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 22*h**2 - 8*h + 34. Let o be n(-22). Calculate the greatest common factor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 47*m**2 + 4890*m + 120. What is d(-104)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 2117, 0.2, -0.5, -1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 4*x - 4*x + (0*x**2 + 2*x**2 - 4*x**2)*(-3 + 3 - x) - x**3 - 2*x**3 + x**3 + 16*x + 19*x + 55*x**3 - 36*x.\nAnswer: 52*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -3*(-6)\/9. Let t(c) = 70*c**3 + 4*c - 4. Let q be t(r). What is q rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582.8653 millennia in months?\nAnswer: 6994383.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**2. Suppose 2*m + f = 4, -4*m + 11 = 5*f - 9. Let a(r) be the second derivative of -1\/2*r**3 + m + 0*r**2 - 17*r. Give a(t(z)).\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(2\/2 - 0). Let z(n) = -n**3 + 3*n**2 + 2*n - 1. Let l be z(3). Suppose -l*a - 3*v - 2*v = -10, 5*v - 4 = -2*a. Sort d, a, 3 in descending order.\nAnswer: 3, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2207, -4960, -7713, -10466, -13219, -15972?\nAnswer: -18725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 84781.6 and 0.052.\nAnswer: 84781.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 3 + 7\/7. Let k be (32\/(-1))\/(h\/(6 + 2)). Let f = -55 - k. List the prime factors of f.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 28*l**2 + 65*l - 1. Let c(h) = -55*h**2 - 131*h + 2. Let s(f) = 2*c(f) + 5*x(f). What is the second derivative of s(j) wrt j?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45064496.\nAnswer: 2, 2816531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.56 - 78.06. Let f = y - -76. Sort 1\/6, f, 1.4 in descending order.\nAnswer: 1.4, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*b + 22, -3*b - 5*a + 3 = -4*b. Suppose -6 = -0*o - o. What is the smallest common multiple of o and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21110 - 10211?\nAnswer: 10233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 1350?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/32? (a) -2\/11 (b) 2 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3050 - -154?\nAnswer: -2452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-16 - -7 - 5 - (12 + 94))) + 10\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/12*(6\/9)\/((-455)\/(-945))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14149908 is divided by 69?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5 + 106*g**4 - 2084*g**3 + 18180*g**2 - 63450*g + 47250 = 0. What is g?\nAnswer: 1, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 115, 114, 113, 112, 111, 110?\n\"Answer: -i + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -230654?\nAnswer: 230651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -2*a - 67 + 52, 4*k + 42 = a for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4428811*j**2 + 0 - 2214387*j**2 + 0 - 2214420*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 - 1. Let y(u) = 19*u**2 + 3*u + 10. Give 5*c(d) + y(d).\nAnswer: -6*d**2 + 3*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8323, 0.04, 2, -4 in ascending order.\nAnswer: -8323, -6, -4, 0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/143723451 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3339, 0.5, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/392)\/(6\/(-56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Let x be (-78)\/(-90) + 4\/(-6). Which is the biggest value? (a) 5 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137392 + 87656133\/638. What is the common denominator of k and 13\/116?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*j**3 + 331*j**3 + 325*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 6. Let i be u(-2). Let s = -14 + 41\/3. Which is smaller: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 3*w**2 + 3*w + 3. Let r be 2 - -2 - (-3 + 3). Let k(v) = 8*v**2 + 0*v**2 - 3*v - 2*v**3 - r - v - 4*v**2. What is -3*k(f) - 4*p(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-177)\/7 + 161\/49 + -3. Let k = h - -172. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i = 234456 + 236697 - 105103. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 4. Suppose p - v = 2*p. Let c(w) be the second derivative of -w**3\/6 + 4*w. Calculate c(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2. Let n = 29 - 20. Let q be 33\/n - (-1)\/3. Let c(v) = -v + 4*v - q*v. Determine d(c(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32 - 0*1\/(-2). What is the highest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**2 - 5*n - 4. Let s(a) = -6*a**2 - 6*a - 5. Let y be -2 + (-40)\/(-6) + (-8)\/12. What is y*s(j) - 5*v(j)?\nAnswer: j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + 124 + -26 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 114027279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 - -2. Let r = 638 + -635. Which is the closest to -4? (a) -5 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*4\/18*6*18*(-32)\/192.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/7*(-133)\/2. Let h = 28 + v. Let d = 0.279 + -0.279. What is the third smallest value in -0.1, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.4 (c) 0.5 (d) -1\/6 (e) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 41*g - 7. Let c(y) = -y + 1. Let l(q) = 6*c(q) + w(q). Let k be l(1). Let d = 101 - k. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-483))\/(((-4)\/4)\/(-6)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmmb when four letters picked without replacement from mbtmtttttttttbb.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 11936 - 11904 = 0. Are -284 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/3 + 20*i\/3 - 8.\nAnswer: -4*(i - 3)*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 938 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9021*m**2*x**3*z**3 - 2*m**2*x*z + 2*m*x**3 + 113*m*x**2*z**2 - 4*x**3*z**2 + 5*z wrt z.\nAnswer: -54126*m**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 5:58 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i + 55*i + 56*i.\nAnswer: 100*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 b when three letters picked without replacement from bbbbbfqbbbb?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -489184, -489145, -489106, -489067, -489028, -488989?\n\"Answer: 39*i - 489223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0436 + 311.6436. Let x = l - 352. Let j = 45 + x. What is j rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 32620820 and 32620815 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.1886209 to one decimal place.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 8:21 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*i**2*u + b**2*i**2 + 32213*b**2*u + b*i**2*u + 20*b*i - 4*i*u + 17*u wrt b?\nAnswer: -2*i**2*u + 2*i**2 + 64426*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*s**2 - 27*s + 3.\nAnswer: -3*(s + 1)*(10*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, q: 1, z: 5, y: 4}. Give prob of sequence zqm.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325944 and 324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + m + 9. Calculate the remainder when 35 is divided by k(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*b + 2156 = 147*b. What are the prime factors of b?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 99*q - 787. Let a be y(8). Solve -16 = i + 2*t - 5*t, -a*i = 2*t + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13628*j**3 - 2341*j + 5 wrt j.\nAnswer: 81768*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -14.3, 4, -11, 0.07, -21, -3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -5*u**4\/12 - 295*u**3\/6 - 1650*u**2 - 4*u + 323. Factor v(j).\nAnswer: -5*(j + 15)*(j + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-nine quarters of a tonne?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 33, -21*o + 117 = -243*k + 246*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3335 + 5*u**3 + 3335 + 23*u**2)*(-2*u**2 + 5*u**2 - u**2).\nAnswer: 10*u**5 + 46*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*r**3 - 154905 + 105*r**3 + 99*r**3 + 154988 in the form n*r + b*r**3 + c + x*r**2 and give b.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5*o + 30 - 10, -4*r - o = -6. Suppose -3*t + 3*x = -588, -3*t + r*x = t - 790. Let m = t + -138. Round m to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = -0*n + 321708. Let o = n - 1501349\/56. Find the common denominator of 45\/56 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 - 28*o + 22. Give d(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15843 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxoooooox. Give prob of sequence xo.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -0.3 (b) -6 (c) -1\/12 (d) 13\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/15*(-5)\/1. Let p be (21\/4)\/(m\/60). Calculate the highest common divisor of p and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**(2\/63)*(u\/(u**(4\/3)\/u))**(5\/4))**49 assuming u is positive.\nAnswer: u**(791\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 - 1) + -13*812\/1508?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 716461, 1432906, 2149341, 2865760, 3582157, 4298526?\n\"Answer: -h**3 + h**2 + 716449*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 5*m**4\/24 - 8*m**2. What is o(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = h + 36 + 58, 96 = -h - g. Let z = h - -14202. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35330819 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40602618?\nAnswer: 2, 3, 7, 322243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h - 30 = 42*h. What is the third derivative of -18*p**2 - 18*p**6 - 17*p**6 - 21*p**6 - 21*p**h wrt p?\nAnswer: -9240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1620085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 631? (a) 5 (b) 2 (c) -5 (d) -28 (e) 1\/2 (f) -9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12*x = -5*x. Solve x = -12*q - 6 - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11670600 rounded to the nearest one hundred thousand?\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46585.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7589\/6 + 1261. What is the common denominator of 143\/54 and c?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*m + 2 = 21, -1827*m + 1825*m + 8 = -6*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b752 + 37?\nAnswer: -b718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2200 and 59212175.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5\/2 + 5\/4*h**2 + 15\/4*h = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*2*sqrt(98) - sqrt(98))**2*2 - (3*(sqrt(18) + sqrt(18) + sqrt(162)\/(sqrt(9) - (sqrt(9) + sqrt(18)\/sqrt(2) + sqrt(9)) - sqrt(9)))*-2)**2.\nAnswer: 7805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.2, -8, 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y**3 - 150*y**2 - 8*y - 175. Let b(v) = 14*v**3 + 250*v**2 + 14*v + 292. Let n(c) = 7*b(c) + 12*u(c). Give n(25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/40 and 4468\/1584 - (-14)\/(-77).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6*48\/8. Let i = 2 - 0. Suppose -5*n - 4*s + 21 = 0, 0*n + i*s = 2*n + 6. Which is the biggest value? (a) 1\/2 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(1 + 0\/1). Let b be 0 + v*-1 - 2. Let j(q) = -q - 2. Let p(g) = 5*g + 11. Let f(o) = b*p(o) - 22*j(o). Let a(l) = -3*l. What is f(a(i))?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sussusuuuuu. Give prob of picking 3 u.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/755 + -68687\/4530. Let p = -16 - r. Is p bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13990589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 7*g**2 - 16*g + 15. Let f be h(6). Which is smaller: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 7*s + 4. Let v be t(-7). Suppose 2 + v = 3*f. Suppose 0*w - 22 = -f*w. What is the greatest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w = -16. Suppose -w*c - 5 = -17. Let u = 14 + -6. What is the remainder when u is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 116*y**3 + 10*y**2 - 7*y - 10. Calculate the remainder when j(5) is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**4\/4 + x**3 + x**2 - 3*x + 1. Let p(y) = 3*y. Let s(g) = g**2. Let c be s(-1). Let j be p(c). Give q(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 9:57 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 12*a**2 + 38*a - 26. Let f be z(7). Put f, 1, -10, 0 in decreasing order.\nAnswer: 1, 0, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18130*l = 18185*l + 2475 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a millennium in centuries?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 51*c + 1168. Let k be b(67). What is the highest common divisor of 336 and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23168 or 23634?\nAnswer: 23168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**4\/6 - 2*b**3\/3 + 3*b**2\/2 - 7*b + 1. Let l be 39\/15 + 4\/10. Let y(q) = -3*q**2 - 7*q + 5. Give l*y(r) - 5*u(r).\nAnswer: r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6362358, 6362442, 6362528, 6362616, 6362706?\n\"Answer: l**2 + 81*l + 6362276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttataoaot?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9 - 219\/(-108). Which is bigger: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**3\/3 + 2*l**2 + 3*l + 1. Let d(k) = 6 - 4 + 2 - 2*k. Let t be d(3). Determine i(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2300223 + 10?\nAnswer: -2300213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 341 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.02 (b) 2 (c) 13 (d) 913\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1.4, -0.2, -8, 4\/3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**2 + 142*g + 46. What is u(23)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23761176?\nAnswer: 2, 3, 179, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -4*w - 9 - 15, w - 9 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 304771931*g**4 - 87752656*g**2?\nAnswer: 7314526344*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2*(3 + -66 + -4). Let s = g - -64. Sort -4, 1, s.\nAnswer: -4, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(27\/(567\/(-154))).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*i - 300*i - 170*i - 163*i + 783*i.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -326 + 336. Suppose 5*b - 30 = -5*c, b + 5*c = -0*c + l. Solve y - 7 = -5*z - y, -5*z + b*y + 35 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b12848 - 8?\nAnswer: -1b12852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 1\/2*c**3 + 7\/2*c + 3\/2 + 5\/2*c**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4959, 5088, 5217, 5346, 5475, 5604?\n\"Answer: 129*i + 4830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - (3 + -2)) + -101 + 86 + 19.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 3:25 PM?\nAnswer: 533","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1\/5 (c) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (102 - (48 - -15)) + (6 - 1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -739 and -0.27.\nAnswer: 199.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 i when three letters picked without replacement from ikieiiiiiiiiiii?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 344101 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3 = 7*g - 6*g, g + 21 = 2*w. Which is the third smallest value? (a) 1\/2 (b) 0.04 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2015915\/18126 - -11\/2014. Let b = g + -21563\/198. Calculate the common denominator of -81\/20 and b.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 3, r: 3}. What is prob of sequence suu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979508 is divided by 1880.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35485\/204724 - -1\/3937. Calculate the common denominator of y and -76\/39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17043, -1\/3, 15, -2.\nAnswer: -17043, -2, -1\/3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-9 + -17 + -5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47349, -47534, -47799, -48150, -48593?\n\"Answer: -m**3 - 34*m**2 - 76*m - 47238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 6. Suppose -52 = 2*r + 4*p, -3*r - 130 = 2*r + 2*p. Let k = r - -26. Calculate the lowest common multiple of l(k) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27861 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 110100?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206744 is divided by 1238.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z - 12. Is 6 a factor of j(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 11*w**4\/2 - 2260*w**3 + 309483*w**2 - 14114288*w - 2571353\/2 = 0?\nAnswer: -1\/11, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 13, g: 3}. What is prob of sequence ra?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 3 + 22*r + 0. Let a = 0 - -5. Is o(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2. Let t(p) = -14*p - 8. Let r(z) = -5*z - 3. Let h(l) = -8*r(l) + 3*t(l). What is h(n(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 400.\nAnswer: -3\/400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1057.834, -278, 1?\nAnswer: 1057.834","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -5) + (18 - 23).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*m + 208*m + 3*m**3 + 231*m.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -34. Calculate the least common multiple of 9 and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7aa8c (base 14) to base 9\nAnswer: -504335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8806722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 4*y**3 + 0*y**3 + 56 + (y**2 + 0*y**2 + y**2)*(2 - 2 - y) as o*y + f*y**2 + c + q*y**3 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1819, 3604, 5419, 7270, 9163?\nAnswer: 11104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19 + -21 + -1 + -1 + 8. Solve 2*q - 9 = d - 3*q, d + 8 = f*q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 24 - -9 - -23 - -50?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**5\/60 + j**4 + j**3 + 28. Let t(z) be the third derivative of o(z). Let a be t(-12). What is a rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**4\/4 + 9*z**3 + 4*z**2 + 21*z - 7. Is t(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 967*s**2 + 1071.\nAnswer: 1934*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 3. Let q be w(-5). Suppose -337 = -3*h - 118. Suppose q*d - h + 5 = 0. Calculate the remainder when d is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*1*4 + sqrt(117) - sqrt(117))\/(1*sqrt(576)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/322661667?\nAnswer: -2\/322661667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/15)\/((z*(z\/z**1)\/z)\/z*z))\/(z**1)**22 assuming z is positive.\nAnswer: z**(-332\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 26\/1951?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183801248.\nAnswer: 2, 5743789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -403*x**6\/3 + 979*x**3\/3 - 932. Find the third derivative of b(j) wrt j.\nAnswer: -48360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124\/3 + 1\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - 3.8. Let i = 5.1 + v. Let b = -1.8 + 0.3. Is i != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/2 + 7*t**2\/2 + 14*t + 10 = 0. Calculate t.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 41504, -1, -100 in decreasing order.\nAnswer: 41504, -1, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from dxxjddxxdddjxxxd.\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/5)\/((-5)\/100). Let d be 2\/(-3) - (-32)\/b. What is the third derivative of 2*i**2 + 2*i**4 - 6*i**d + 2*i**2 - 3*i**4 wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y = 11*y. Suppose y + 2\/5*g**2 + 2\/5*g**3 + 0*g = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2120 - -2125. Let f(a) = a**3 - 4*a**2 + 3*a - 1. Let c be f(2). Let w(y) = -y**3 - 2*y**2 - 3*y - 1. What is the remainder when w(c) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171 (base 15) to base 5.\nAnswer: -2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 8 = 4*p, 3*p - 10 + 3 = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.65 - -0.5. Let c = k + 0.05. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2) - (117\/18)\/13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43094\/63 - 684. Is 0 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -523*r + 3758*r + 797*r - 51*r + 4724*r as d*r + g and give d.\nAnswer: 8705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 717260768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**5\/20 + h**4\/4 - 7*h**3\/6 - 3*h**2 + 4*h. Let s be i(-9). Let t = s - -3857\/9. Put -1, 2\/7, t in decreasing order.\nAnswer: 2\/7, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1) + -15 + (7 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 670 - 677. Let l(v) = -v**2 - 15*v - 52. Let x be l(f). Solve q + x*q = -3*p - 40, -4*p - 40 = 4*q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131693\/36 + 3658. Sort -8, -0.1, v in descending order.\nAnswer: -0.1, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4081 is divided by 245.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 5*p - 9. Let c(f) = 3*f + 4. Let x(g) = -5*c(g) - 3*q(g). Let l be x(3). Let w = l - -31. What is the remainder when 42 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-95)\/(-30)*(-162)\/(-38)\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -163 + 160 + 6 + -35.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604\/45 greater than 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) -1\/9 (c) -4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1936 and 2523697?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v + 6, -2*k + 14 = -2*v. Let d(o) = 5*o - 14. Suppose -78 = -3*p - 6. Calculate the lowest common multiple of p and d(k).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 2*u - u + (3 + 1 - 5)*(487 - 487 - 2109*u) in the form w*u + l and give w.\nAnswer: 2110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -2 + 0*r + 0*r**2 + 1\/3*r**3. Let t(g) = -4*g**2. Let n(a) = -15*a**2. Let x(q) = 6*n(q) - 22*t(q). What is d(x(k))?\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3)*(-9)\/(-54)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1874, -3754, -5632, -7508, -9382, -11254, -13124?\n\"Answer: z**2 - 1883*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - -71) + (-22 - -2) - -3 - (-4 - 13)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 3\/7 (b) 988 (c) -0.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 125*i + 1492. Let u be s(-16). Solve x - 46 = -3*g - 48, -u*g + 4 = -2*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = 18 + 47. Solve 0*i = 2*i - 10, -3*i + 10 = -a*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*5\/(-10) + 19. Suppose 0 = 16*u - 20*u + a. Solve -u*t - 6 = 2*d, -t - 2*t - 2 = 4*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -68, -48, -44, -62, -108, -188?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649*o - 3 - 1446*o**2 - 2 + 1449*o**2 + 5 - 649*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/32 of a second?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 4.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/250 - -513\/3250. What is the biggest value in 4, -2\/23, -2, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from xxofjjgfoffjffxfgff?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-78 + -3 - (203 + -211))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28882 - 181*f + 14437 + 14445.\nAnswer: -181*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 84242 <= 2057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b**4 + 44*b**3 + 8*b**2 = 0 for b.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266107 and 2248?\nAnswer: 2128856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2877588*n**2. Let s(h) = 2*h - 15. What is s(b(v))?\nAnswer: 5755176*v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-211)\/(0\/3 + -1). Let u be n\/6*(-45)\/(-10). Suppose 2*v - 5*v + l = -87, 0 = 5*v + 2*l - u. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1036389752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.23, 3, 0.1 in increasing order.\nAnswer: -0.23, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**4\/6 - 2*s. Let h(g) be the second derivative of 2*g + 0*g**2 - 1\/2*g**3 + 0. Determine n(h(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 34*c = 31*c + 5, 0 = 3*m - 4*c - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a decade in months?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14700585 to the power of 1\/2, to the nearest integer?\nAnswer: 3834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55637.\nAnswer: 23, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28440 is divided by 9479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*t - 10 = 0, h - 4*t = -1 + 13. Which is the nearest to 2? (a) 9 (b) h (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10315 (base 7) to base 16.\nAnswer: a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p = 16. Is (-4)\/1*((-6092)\/p - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102 + -100020101020110?\nAnswer: -100020101100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - 9 - 7) + (-1 - 8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**4*n**2 + 26*k**4*n - 10*k**4 + 54*k**2*n**2 + 4*k**2 + 2*n wrt k?\nAnswer: -48*k*n**2 + 624*k*n - 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2*4*29\/(-348)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 290 or 0.2?\nAnswer: 290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4837 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -140? (a) 0.4 (b) 4 (c) -4 (d) -3\/4 (e) 2223\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -52, -96, -150, -214?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1696992558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 17*j**3 + 6*j**2 + 3*j + 3. Let g be q(3). Let l = g - 505. Calculate the lowest common multiple of l and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6668423.\nAnswer: 6668423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 8*n**2 - 31*n - 55. List the prime factors of l(-16).\nAnswer: 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-3*6*(-6)\/(-108)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4198843*i = -4198845*i + 8*o - 18, 0 = -4*i + 5*o - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**4 + 2974723*h**3 - 3147200*h**2 - 35.\nAnswer: 336*h + 17848338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. Let h be k(-2). Suppose -h*x + 15 = x. Suppose -4*p + x*p + 6 = 3*y, 3*y - 60 = -5*p. What is the remainder when p is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -64*r**3 + r**2 + 14*r. Let x(z) = 64*z**3 - z**2 - 12*z. What is -6*k(w) - 7*x(w)?\nAnswer: -64*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(135) - (sqrt(135)*-1*-4 - sqrt(135)) - sqrt(135))\/sqrt(9))\/(sqrt(18)\/sqrt(6)*-5 + sqrt(3) - sqrt(3) - sqrt(243)*2).\nAnswer: -15*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -229068 (base 10) to base 16.\nAnswer: -37ecc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 1 (b) -0.03 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 545350208 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -51. Let m = 20\/7 - 166\/63. Is l at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**1*m)**(1\/17))**(5\/8)*(m*m**(-1\/4)*m)**(2\/29)\/((m*m*m**2)\/m*m\/m**(-2\/5)) assuming m is positive.\nAnswer: m**(-82213\/19720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3)\/j)**(-2\/41)\/((j\/(j**(1\/2)\/j*j)*j*j)\/j**4))**(13\/7) assuming j is positive.\nAnswer: j**(715\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/14*(-12)\/40)\/((-78)\/65)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 28 = 2*p + 4*s, -5 = p + 3*s. Let o(d) = d**2 + 51*d + 2. Let b be o(-51). Let i be (-4)\/(-26) - 270\/65. Sort p, -1, i, b in decreasing order.\nAnswer: b, -1, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 - 49. Let s(l) = -3*l**3 - 3*l**2 + 7*l + 7. Let f be s(-2). Solve 0 = 10*b - f*b - a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6046?\nAnswer: 2, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 1596.\nAnswer: 19152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28706, -57408, -86110, -114812?\nAnswer: -143514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 237259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 4*d - 4. Let s(k) = 3*k**2 - 7*k - 8. Let q(m) = -m**2 - 10*m + 419. Let w be q(16). Calculate w*s(p) - 5*h(p).\nAnswer: -p**2 - p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/6 and -83\/2172.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/36)\/((-11)\/99)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 3*o**3\/2 - 3*o**2\/2 - 7*o. Find the first derivative of v(x) wrt x.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - x + x)*(-2*x**2 + 3*x**2 - 3*x**2) + (221 + 156 - 14)*(-x**5 - x**5 + 3*x**5).\nAnswer: 367*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-19))\/(-3) - 153909\/(-2793). Suppose -2*d = -0*d + 4*n + 70, 4 = -n. Let b = -16 - d. Calculate the greatest common factor of w and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**5\/5 + 5*f**3 - 6. What is the third derivative of n(q) wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10812 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, k: 1, y: 1, f: 6, z: 2, t: 2}. Give prob of sequence fy.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0063263 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 244. Let t(b) = -6*b - 1220. Let a(g) = 11*m(g) - 2*t(g). Let k be a(0). Let f = k - -363. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 + -127. Let w(z) = z**3 - z**2. Let m(t) = -5*t**3 + 5*t**2 + 3*t + 4. Let j(b) = -m(b) - 4*w(b). Let p be j(v). Solve -13 = -4*l - p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 393325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 - 425*p**4 + 20154*p**3 - 324288*p**2 + 207360*p = 0 for p.\nAnswer: 0, 2\/3, 45, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -71. Suppose z - 53 = -17*x. Suppose 2457 = 5*w + x*w. Does 27 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 11:23 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*m - 5*s, -2*s + 4*s = 10. What is the third derivative of q**m - 3*q**3 + q**2 - q**2 wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/36*(-8)\/1. Let q be 38\/9 - ((-38)\/(-9) + h). Factor 4\/9*f**3 - 2\/9*f**q + 0*f - 2\/9*f**2 + 0.\nAnswer: -2*f**2*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i = -12. Let t = -76 + 83. Suppose t*l + 2*l - 45 = 0. Solve 0 = -5*j + v + 2*v - l, -3 = 3*j + i*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2263*a + 2258*a + 25. Calculate the highest common divisor of a and 730.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710876 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2 + 3*b + 35. Is j(-8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -867784, -867782, -867780, -867778?\nAnswer: -867776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7011 - 7005. Solve 329*m - 331*m = -x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**2 - 4*i - 2. Give y(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -23*o**2 + 40*o**2 + 111*o**2. Let x(a) = -13*a + 9. Let l(d) = 3*d - 2. Let k(w) = 18*l(w) + 4*x(w). Determine v(k(g)).\nAnswer: 512*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 1:05 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147054233 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11422a + 121?\nAnswer: 114350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -14 + 17 - 18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -429\/4 - -107. Which is the nearest to w? (a) -0.045 (b) 1\/2 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.34 + 1.54. Let m = -2.8 - t. Let r(p) = -4*p**2 - 12*p + 2. Let u be r(-3). Which is the fourth smallest value? (a) m (b) u (c) 21 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**4\/9 - 76378*m**3\/9 - 381934*m**2\/9 - 76394*m\/3 + 76388 = 0.\nAnswer: -3, 1, 38194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:43 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhe when three letters picked without replacement from {z: 2, h: 4, p: 2, n: 1, e: 5}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 14.4 in increasing order.\nAnswer: -2, 4, 14.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**3\/3 - 2*n. Let d(q) = 6*q + 4. Let c(t) = 13*t + 9. Let o(h) = -4*c(h) + 9*d(h). Calculate g(o(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**7\/21 - 21*y**5\/5 + 5*y**3\/6 + 2*y**2 - 211*y - 4. What is the second derivative of a(q) wrt q?\nAnswer: -40*q**3 - 504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -421134 - -660487. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-152)\/20 + 10\/(-25). Let q = p + -24. Let n = -20 - q. Solve -t + 1 = -5*i, 2*t + 4*i = -0*t - n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/3 - 93164*y\/3 + 5705330 = 0. Calculate y.\nAnswer: -46765, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 + 97. Let v be 1 + -56 + (0 - 1). Let n = k - v. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**3\/6 - 5*o**2 - 2*o. Let a be h(12). List the prime factors of a\/((-8)\/(-12))*11.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**6\/40 - s**5\/10 - s**4\/12 + 14*s**3\/3 - 5*s**2 - 11*s. Calculate the remainder when z(4) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -25*m**2 + 10*m - 5. Let v(n) = -13*n**2 + 4*n - 2. What is -5*v(y) + 2*w(y)?\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-5*111\/165 + 9)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1)\/((-2)\/(-22)). Suppose 4*n = -2*u + 40, 5*u - f = -n + 17. Suppose s - 3 = n. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 4 - 2) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 18826.889 to the nearest 100.\nAnswer: 18800","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)\/(v\/((v**(-6)\/v)\/v)))\/(v*v\/(v**2\/v)*v)**(5\/14)*(v**(3\/16)\/(v*v**(-3\/14)))**31 assuming v is positive.\nAnswer: v**(-3137\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 + y - 2. Let t be u(-4). Suppose 0 = 4*i - 3*f - t, f + 1 + 1 = 0. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 4. Suppose m + m = w. Solve m + 3 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -142*u + 144*u - 38170. Let h(q) = -2525*q. Let x be h(-5). Let c = u - x. Round c to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 3*g - 9. Suppose -5*t - g*w = -49, 13 = 5*t - 5*w - 12. Calculate the smallest common multiple of t and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1063 * -24305.4.\nAnswer: -25836640.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 5*p - 4. Let f be w(3). Suppose 2*j = j + 3*a + 13, 7 = 4*j + 3*a. Put -3, j, f, -4 in increasing order.\nAnswer: f, -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-3*b - 2*b + b) + (2 - 4 + 3)*(-b + b + b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 12*x - 24. Suppose 5*o = x*l + 405, 4*l - 117 = -2*o + 45. Does 27 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o**2 + 28*o + 7. Let d(c) = 166 - 545 - 13*c**2 + 195 + 174 - 42*c. Determine 5*d(j) + 7*w(j).\nAnswer: -2*j**2 - 14*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -5 + 7 + (-1 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*248\/8)\/(-3 + 1). Suppose -53*m + w*m = -17314. List the prime factors of m.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*-2*(sqrt(5) + ((2 + sqrt(10)\/sqrt(2))**2 - sqrt(5))) + -1)*-5.\nAnswer: 800*sqrt(5) + 1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 4:42 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5422 is divided by 521.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r - r = -310. Calculate the smallest common multiple of 3 - (0\/(-1) - 1) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-14) + (-486)\/126 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 3*q - q)*(73*q + 36*q - 5*q) to b*q**2 + j + w*q and give b.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 340\/27 + -13595\/1026. Calculate the common denominator of h and 103\/30.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**5 + 8*a**4 - 658*a**3 - 4040*a**2 - 3375*a = 0.\nAnswer: -27, -5, -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**4\/24 - 2*k**3\/3 + 2*k**2. Let t(b) = -28*b**3 - 4*b**2 - 2*b + 1. Let l be t(-1). Suppose l*z = 17*z. Give n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 69, -3 in descending order.\nAnswer: 69, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3207619559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (72 - 74) + -5 + 0 + (24 - 30)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78.56 - 78.565125. What is p rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + (4*(sqrt(130) - 1*sqrt(130)))\/(sqrt(10) + -2*-2*sqrt(10))))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*(1 - (-4)\/(-8)). Put m, -3, 1 in increasing order.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 3*l - 2. Suppose s + m - 3 = 0, -3*s + 5 = -2*s + 3*m. Let i be p(s). Solve i = 4*r + 2 - 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h**(-16)\/h)*h**(-2\/25)*h*h**(-21)*h*h**(1\/9) assuming h is positive.\nAnswer: h**(-443\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 3*o)*(-2*o + 4*o - 4*o)*(-52*o**3 - 808*o**3 - 161*o**3).\nAnswer: -6126*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1\/19 (b) 2 (c) 0.4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 183, -3, -5, -12.\nAnswer: -59, -12, -5, -3, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -59.23. Let s = g - -0.17. What is s rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -127 - -128811?\nAnswer: 128673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p = 25. Suppose 418 = p*a + 23. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1195 - 0.0805. What is the nearest to 6 in -0.1, z, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -172?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-7 - -4 - -7) + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -698 = -1541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 241*j**3 - 233*j**3 + 247*j**3 as d + g*j + n*j**3 + h*j**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/2)*t**(-1)*t*t*t*t*t**(-23)\/(((t\/t**(4\/13)*t)\/t)\/t) assuming t is positive.\nAnswer: t**(-525\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (161152\/2432 + -66)\/(5\/(-8))?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35777?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20810*2\nAnswer: -41620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227\/6 + 85\/(1275\/45) + 17\/(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 5*x - 1. Let h be i(4). Let r be -273 - (2 + h + -1). What is r rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 1:18 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-18) - -8)*(1 - -5) - (-325)\/(-50).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 q when four letters picked without replacement from {q: 4, d: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8\/3, 4, -4, 8, -0.14, 1\/5, 1.54?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 635 in decreasing order.\nAnswer: 635, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 1. Suppose 3*s + 9 = -2*r - 1, -r + s = -5. Let n(y) be the first derivative of 3*y**2\/2 - y - 245. What is r*n(h) + 2*g(h)?\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*v = -762 + 909 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 84677477927 and -565.\nAnswer: 84677477362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744506 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 1, 5 in ascending order.\nAnswer: 1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6125962.\nAnswer: 2, 353, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 4 = -4*p. Suppose 2*g + p = 4*g. Differentiate -g*c**4 + 8757*c - 8757*c + 17 with respect to c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -6.88. Let r = i - 7.88. Let n = r - -11. Which is the smallest value? (a) n (b) 3\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-9)*j*j\/((j*j*j**(2\/9))\/j*j*j*j))\/(j**5*j\/(j\/(j\/j**19))))**17 assuming j is positive.\nAnswer: j**(272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 3*l**2 + 665 - 11*l - 658. Let z(r) = 2*r**2 - 4*r + 3. Let p(x) = -4*m(x) + 9*z(x). Determine p(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042822764.73 - 8?\nAnswer: -1042822772.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(sqrt(175) + (0 + sqrt(175) + -2*sqrt(175) + sqrt(175) - sqrt(175)) + 5) + -5)**2 + 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3948 and 140?\nAnswer: 19740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**2*j**3 - f**2*j*s - 16*f**2*s - 8*f*j**2*s + 556*j**3*s - 8*j wrt j.\nAnswer: 30*f**2 + 3336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.892766ml?\nAnswer: 0.009892766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.7 - -9. Let i = 26037 + -26040. Which is the second biggest value? (a) -0.15 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of -45*(-18)\/90 + 5956\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*j - 116 = 0, -2*y + 5*j + 42 = -0*y. What are the prime factors of y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148077.\nAnswer: 3, 16453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*8320340\nAnswer: 499220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i - 2. Let t(l) = -l**2 + l + 10. Let c be t(4). Give r(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**4\/24 + m**2 + 56*m + 1. Let o(c) = -5*c - 3. Let q be ((-4)\/6)\/((-2)\/3). Let t(d) = q*o(d) + 2*b(d). What is t(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2009*c*x**3 + 47*c*x - c - 12035*x**4 - 46922 wrt x.\nAnswer: 12054*c*x - 144420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.468 and 3695.\nAnswer: 1729.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 30*n + 95. Let v(k) = 3*k**2 + 91*k + 286. Let x(t) = 17*g(t) - 6*v(t). Let z be x(-31). What is the highest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -1. Let r = -17 + 94. Suppose s + 69 = r. Calculate the lowest common multiple of f and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*w**2 - 2*w**2 + 154*w**2)*(383*w**2 - w + 2*w - 358*w**2).\nAnswer: 3475*w**4 + 139*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119264 or 119263?\nAnswer: 119264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(209\/285) - -4. Solve -4*g = q*g + 115 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10099 and 0.2?\nAnswer: -2019.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-11 + 1)) + -3 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2\/4 + 196*a - 38416 = 0?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/34083 and -17\/277533.\nAnswer: 1942731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 162604, 162611, 162626, 162655, 162704, 162779?\n\"Answer: l**3 - 2*l**2 + 6*l + 162599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1328*b**2 - 573*b + 1727. Is z(3) a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 16757952924.2?\nAnswer: 16757952923.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.07 to the nearest integer.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**3 - s**2. Let v be a(-1). Let l = 12 + v. Let i be ((-1)\/l)\/(4\/10). What is the third biggest value in i, -0.2, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -68*v - 197. Let g be h(-3). Put 0, g, -9 in decreasing order.\nAnswer: g, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 15*j**2 + 15*j + 12. Let o be 94\/6 + 0 + (-1)\/(-3). Let m be d(o). What is the closest to 1\/4 in m, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -20, 3*c = d - 0 + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 0*l**3 + 0*l**2 - 7\/12*l**4 + 0 + 22*l. Let y(w) = 5*w. Determine y(u(q)).\nAnswer: -35*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0135421 to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 4*f - 4*f - 4*f)*(-129*f**2 - 339863*f + 339863*f).\nAnswer: 774*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhb when three letters picked without replacement from ttybbh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10 - (4 - 6) - 3) + 14. Let r(s) = -3*s**3 + 8*s**2 + s - 7. Determine r(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14218 - -4955. Let z be r - (5 + -10 + 2 + 0). What is z rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153430 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 3383424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 1. Suppose -12 = -4*s - 5*r - 37, 0 = -3*s + 2*r + 10. Calculate the remainder when ((-48)\/16)\/(3\/(-4)) is divided by j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 21672 = 3*d, -3*f + 16*d = 14*d - 13026. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 229, 243, 263, 289?\n\"Answer: 3*y**2 + 5*y + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*z = -139*z + 2190 - 810 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -21. Let p(t) = -5*t - 4. Let b be p(-4). Let g be ((-2)\/4)\/((-1)\/10). Solve h + c*o + 10 = 0, -o + b = -g*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - 2. Which is the biggest value? (a) s (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 10 = 11*c. Solve c = -4*p + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*j + 139*j = 56 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44895*k**6 - k**3 - 5*k**2 - 10374?\nAnswer: -5387400*k**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111154, 889216, 3001106, 7113742, 13894042, 24008924, 38125306, 56910106?\nAnswer: 81030242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -530.0902 * 0.3.\nAnswer: -159.02706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*-1*4 - (sqrt(880)*-1*-4 - sqrt(880)))\/(sqrt(320)*-2*6*3).\nAnswer: 7*sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -21528*o - 193. Is g(-1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.2642, -119 in decreasing order.\nAnswer: 0.4, -0.2642, -119","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20431*x**2 - 20428*x**2 + 40855*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127350?\nAnswer: 2, 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 604052, 2416235, 5436532, 9664943?\nAnswer: 15101468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from mqeqfeq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4 + 8*w**3 - 32*w**2 = 0. Calculate w.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n - 3, -m = 5*n - 5. Suppose -d = 4*s + 4*d - 11, 3*s + 5*d - 7 = m. Which is the closest to 2\/9? (a) -0.7 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 1. Let c(g) be the first derivative of 5*g**2\/2 + 5*g + 36. Let o(p) = c(p) - 6*x(p). Calculate o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 132.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/(1\/(-10)). Let p be (-1)\/q - 76\/5. Let v be (-9)\/p + 0 + -1. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.73804 rounded to 2 decimal places?\nAnswer: 20.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**2 + q - 6. Let j(n) = 5*n**2 + n - 5. What is 5*j(y) - 4*l(y)?\nAnswer: y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.8985205 rounded to 3 dps?\nAnswer: 23.899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(13\/5))**(2\/7) assuming p is positive.\nAnswer: p**(26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6710351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, c: 4}. Give prob of sequence aca.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 5.7. Suppose 7*m = -32 - 45. Let a(c) = -c**3 - 10*c**2 + 12*c + 7. Let k be a(m). What is the nearest to x in 0.2, k, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32990000 to the nearest 1000000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13 - -4.87. Let j = 4 - i. Let n = -3.02 - -0.02. What is the closest to j in 0, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -9. Let o be -1 - (1 + 0 - (-3 + 8)). Is ((-142)\/(-8))\/(22\/y + o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104841 * -103\nAnswer: 10798623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 172*l - 658. Calculate the remainder when j(8) is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*m + 15299, t - 3841 = -0*t + 2*m. Suppose 4*y - 7*y + t = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v\/(v\/((v\/(v**(-3\/14)\/v))\/v*v)))))*v)\/v)\/(v**(-30)*v*v) assuming v is positive.\nAnswer: v**(375\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 833 divide 4724776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-9))\/(1\/(-3)). Let n be (-1)\/t - (-21)\/14. Suppose 840 = 3*m - n*m. Round m to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 3551679705?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-114)\/152*8\/(-10). Sort s, -0.05, -1.\nAnswer: -1, -0.05, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29691 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23, -1, 2, -3, 17 in increasing order.\nAnswer: -3, -2, -1, 2, 17, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k + 417. Let d be i(-105). What is the closest to 0 in d, 4, -1\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 46?\nAnswer: -32.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6729*y - 6021*y - 12036 = 0 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**3 - 6*p**2 + 3. Suppose 0 = -5*c - 5*n + 3*n + 22, 0 = -4*c - 3*n + 19. Let d(t) = 3*t**3 - 5*t**2 + 2. What is c*l(z) - 5*d(z)?\nAnswer: z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1925 is divided by 114.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2242001 (base 5) to base 14\nAnswer: 10951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12*n = -8*n + 296, 4*n = m - 158. Let t = -97 + m. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36197908499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**8\/6720 - x**6\/720 + x**5\/10 + x**4\/4 + 2*x. Let h(c) be the third derivative of t(c). What is the tens digit of h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7393 + 13815. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3, 2*c = -q + 8 - 1. Let n = -4 + 6. What is the nearest to n in c, 0.6, -2\/13?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 13 = -2*i, -158*o + 153*o + 21 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*k - 30, -5*t + 25*k - 30 = 20*k. Solve t = -v + 3*y + 2, -36*v - y = -39*v + 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34091667*j - 9599272?\nAnswer: -34091667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quppbgqgqga. Give prob of sequence qbq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n + 14. Let p(s) = -s + 1. Determine -3*p(q) + z(q).\nAnswer: -q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -3*i - 5*x + 17, 5*x = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31964723065255.9999988 - -31964735025571. Let s = n + -11960308. Let w = s - 7. Round w to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/2 - 150\/30. Suppose -5*h = -0*c + 4*c + 122, 4*h = 2*c + 74. Let i = 33 + c. Solve 5*a + i*a - 20 = d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*r + 141*r - 263*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 10:42 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-one halves of a kilogram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1050, -0.036, 2\/7, 3.3 in ascending order.\nAnswer: -0.036, 2\/7, 3.3, 1050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4688*x + 8719*x - 1594*x to o*x + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 26 = 2*o - m, -4*m = -3*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*l - 18, 4*l - l + 15 = -2*b. Let y = -2 - b. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/5, 50\/27, 2\/7, -2\/9, 0.1, -1\/23, -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235940500 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1854, -3821, -5812, -7827, -9866, -11929?\n\"Answer: -12*z**2 - 1931*z + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 6*x + 17 + 4*x - 31 + 8.\nAnswer: -2*x + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*a - 17*a - 105*a + 200 = 0. Is 15.181 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8573 - -8574. Let i = -12 + 9. What is the smallest value in j, i, 18?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 215068?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*j*k + 2*j - 153*k - 71 wrt k.\nAnswer: -4*j - 153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -314, 1, 3.\nAnswer: -314, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 204431.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5 - 345*q**4 + 7896*q**3 - 6876*q**2 - 15120*q = 0.\nAnswer: -1, 0, 2, 30, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o - 44. Let n(v) = -5*v + 22. Let p(i) = 3*a(i) + 5*n(i). Let b be p(9). Is (818\/(-8) + 2)*b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4139\/352 - -3\/352. What is the common denominator of 55\/3 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 7*w - 26. Let f be a(-10). Calculate the remainder when 147*(9\/((-108)\/(-16)))\/f is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.9718 and 41.\nAnswer: 39.0282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760.051 millennia to years.\nAnswer: 760051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -257, -403, -543, -671, -781?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -o - 7, 60*u - 62*u - 51 = 5*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 13 + 7. Suppose 2*u + p*k = 9, -4*u = -3*k + 1 - 6. Solve -2*x + 3*g - u = 0, -3*x + 3*g = 5*g - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.39 * 11976\nAnswer: -4670.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2. Let q(i) = -7*i - 13. Let h be 1\/1 + 1 - 2. Let p(w) = 0 - w - 2 + h*w. Let d(b) = -39*p(b) + 6*q(b). Calculate l(d(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 23, -26.5 in ascending order.\nAnswer: -26.5, -4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6804)\/504)\/((-6)\/(-14) + (-165)\/140).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2041*m - 104823 = -200*m - 501*m - 277569 for m.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27071356 (base 8) to base 15.\nAnswer: 7ea2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o**2 + 9*o + 17. Let n(a) = -7*a**2 - 8*a - 15. Let h(w) = -6*i(w) - 7*n(w). Let r(m) = -m**2 - 2*m - 4. Calculate 3*h(d) + 2*r(d).\nAnswer: d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*o + 44 = 0, 0*h = -2*h + 2*o + 44. Is 41895\/385 + 4\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (89*w**4 - 19*w**4 + 24*w**4)*(-1 + 1 + 1) + (-60*w**3 - 145*w**3 + 51*w**3)*(2*w - 3*w + 2*w) as k*w + t*w**2 + b*w**3 + g + n*w**4 and give n.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 60*z + 196. Calculate g(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-32)\/168))\/(((-5)\/(-1))\/(-10))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/93 (b) -9 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129894217 to the power of 1\/3, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 20828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 667668031230 + -4?\nAnswer: 667668031226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 25*x**2 - 15*x + 45.\nAnswer: -5*(x - 1)*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 152\/6 - (-2)\/(-6). Let t = h - 17. What is the smallest common multiple of t and -194 + 174 - (-17)\/((-17)\/(-30))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**4\/24 - 2*h**2. Let m(u) be the second derivative of 1\/3*u**3 + 0 + 0*u**2 + 2*u. What is m(f(z))?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 0.2. Let n = -28.1 + g. Let t = n - -29.99997. Round t to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, t: 6, r: 1}. What is prob of picking 1 k and 3 t?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: -11 + 35*(-7)\/(-35)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 12 = -3*j + 3*t, j + 10 = 5*t. Suppose -j*z + u = -4*u - 45, -5*u - 27 = -2*z. Let p(v) = v + 9. Let m be p(z). Which is smaller: 14 or m?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10758 by 22.\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 + 21*g + 9. Let q(p) = -2*p + 11. Let o be q(8). Let f be y(o). Solve 3*b - 4*c + 3 = 0, f*b + 5*c - 2*c = 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 4*z**2 + z. Let d(s) = s**3 + 3*s**2. Let u(r) = 2*d(r) + 3*k(r). Let f = 8 - 15. What is the tens digit of u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*2 - (191 - 190)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 29*u**2 + 79*u**2 - 24*u**2 + 3.\nAnswer: 26*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x + 233 = 1 - 148 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 6. Let w be -3*y*1\/(-2). Let i be 4 + w + -2 - 3. Put 1\/3, -4, i in increasing order.\nAnswer: -4, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -137, -130, -119, -104?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93807 is divided by 469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-27)*k**(-8\/3)*k)**(-47) assuming k is positive.\nAnswer: k**(4042\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 6352\nAnswer: 27\/3176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -16 + -1 - 0) + (42 - 14)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*699\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2.04, 2\/3, -25, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.458*-0.3\nAnswer: 0.7374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (651*f + f + 70*f)*(-2 - 2 + 1)*(-2 + 5*f**2 + 0*f**2 - 3*f**2).\nAnswer: -4332*f**3 + 4332*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1405*o = -699*o - 42080 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514*f**2 - 558*f**2 + 49*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 4.95\nAnswer: 49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -16. Let p = 1 - a. Let v = p + -1. Put 5, v, 2 in decreasing order.\nAnswer: 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**7\/21 - 61*q**6\/3 + 6119*q**5\/2 - 966655*q**4\/6 - 4243600*q**3\/3 - 4370908*q**2 - 4*q + 40. Factor o(x).\nAnswer: 2*(x - 103)**3*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 3, -3, -526, -4 in decreasing order.\nAnswer: 4, 3, -3, -4, -7, -526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*18.322.\nAnswer: 5.4966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*n + 1. What is the nearest to -7 in n, -1, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2))**(5\/19)*(z**(-1\/4))**40*(z*z*z**(2\/3)\/z)**0*(z*z\/(z\/z**(-1)))**(-39) assuming z is positive.\nAnswer: z**(-200\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 569988.\nAnswer: 1139976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5\/2 - 10131*l**4\/2 - 4828521*l**3\/2 - 598108353*l**2\/2 + 3563223294*l - 3261749790 = 0. Calculate l.\nAnswer: -2834, -277, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1183075 + 695105. Let m = w - -817970. Round m to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 509. Let g = -220 + p. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/51)*r)\/r**(-20)*((r**(-2\/17)*r)\/r)**(-14\/9) assuming r is positive.\nAnswer: r**(3235\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - -1899?\nAnswer: 1885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -0.09, 2, -4616, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h + 73 + 53. Let a(f) = f**3 + 15*f**2 + 14*f - 4. Let k be a(h). Suppose -5 = -3*m + 1. Put m, 4, k in increasing order.\nAnswer: k, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/21 and -77\/123?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.4 (b) -0.04 (c) 3\/7 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*z + 4. Let o = z + -1. Let c(m) = m + 11. Let i be c(o). Solve 2*y + i = -p - 2*y, -3*y - 9 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/2)\/(-5)*(10 + -4). Let n(q) be the second derivative of 0 + 1\/3*q**v - 3*q + 0*q**2 + 1\/12*q**4. Find the second derivative of n(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 3. Let l = -152.4 + 142. Let q = u - l. Sort q, 4, -3\/4.\nAnswer: -3\/4, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f**2 + 59*f + 122. What is the smallest common multiple of 120 and d(-2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14310 divided by -7155\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -9. Let x be ((-2068)\/141)\/((-5)\/75). What is the greatest common divisor of x and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 50*n**2 - n. What is the remainder when 151 is divided by y(-1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x - 54 = -30*x. Let h = x - 1. Solve 3*i + 3*r = -i + h, -5*i = 5*r - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 8\/18 + (-30324)\/(-1026).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3982815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 5*b**7\/42 + b**6\/2 + b**5\/2 - 24*b + 2. Let x(q) = 0. What is q?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -34, 3, 796, 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*b**2 + 24*b**2 - 19*b + 18*b in the form z + p*b + h*b**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*6 - (2 - 3). Sort 5, -2\/13, q in descending order.\nAnswer: 5, -2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6 + h**3 - 3*h - 3*h**2 + 2*h**2 - 9. Suppose 0 = 5*s - l + 7, 5*l + 0 + 23 = -4*s. Give r(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h = 9*h + 27265. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11385202 is divided by 268.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377 a factor of 701828188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 550944 and 1446228?\nAnswer: 11569824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1223254295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**3 - 14*t + 14*t)*(18 + 10 + 14 + 68)*(9 - 9 + 17*t).\nAnswer: -14960*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -7\/3, -3\/157, 3, -542?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36043 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/4)\/1)\/((-715)\/52).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a = 8. Suppose 2*w = 6*w + 5*o - 60, 3*w - a*o - 45 = 0. Suppose 3*u + 0*u - w = 0. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 4*w**2 + 9*w - 9. Calculate t(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0968 times 5\nAnswer: -0.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22260 + -3?\nAnswer: 22254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**6\/300 + 2*t**5\/75 - t**4\/20 - 5*t**2 + 10*t. Let s(i) be the first derivative of y(i). Suppose s(a) = 0. What is a?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1980 and 1452.\nAnswer: 21780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 35 + 13. Solve -y = 2*y + l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 77*a + 25*a**3 + 6 - 77*a + 30*a**3 wrt a.\nAnswer: 165*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -138 equal to 309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 + (-2808)\/(-91))*(-7 + (-35448)\/(-5058))?\nAnswer: 2\/281","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 3149, -24, -13 in ascending order.\nAnswer: -24, -13, 33, 3149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 0)\/1 + 211. Suppose 186 + d = 4*k. What is k rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*4\/32*-12. Put u, 1, -1, -3 in increasing order.\nAnswer: -3, -1, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 291 + -300. Let o(u) = -154322*u**2 + 6*u + 136. Let j be o(p). What is j rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/156037 and 67\/30449506.\nAnswer: 213146542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22448019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d\/(d*d**(-21))*d\/((d\/(d\/((d\/(d**(-7\/2)*d*d))\/d)))\/d) assuming d is positive.\nAnswer: d**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(154\/42 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 1. Let c(h) = h**3 + 4*h + 4. Let r(p) = c(p) + 4*m(p). Let a(z) = 24*z**3. Let o(w) = -57*w - 170. Let g be o(-3). Calculate g*a(d) - 18*r(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + -0.38. Suppose y - 492 = -3*y. Let i = y + -863\/7. Which is the second smallest value? (a) -3 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 6. Let h be 3*(o - (-33)\/(-9)). Let u be (-1)\/(h*4\/24). What is the closest to 1\/2 in 0, u, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7673996 to the nearest integer?\nAnswer: 2770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -8, -4, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.314 - 0.686. Which is the nearest to l? (a) -0.3 (b) 7 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 1. Let s(t) = t**2 - 3*t + 11. Let l be s(8). Let i(q) = 9*q + 8. Let w(h) = l*y(h) + 6*i(h). What is the first derivative of w(r) wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224 + -224.169. Let z = d - -1.179. Let p = z - 1.00999813. Round p to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from {u: 1, j: 3, b: 4, g: 1, x: 4, z: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/2)\/i)\/((i**(-2\/11)*i)\/i))**(16\/5)*((i\/(((i\/(i**(1\/3)*i))\/i)\/i))\/(i**2\/i))\/(i\/((i**2\/i)\/i)*(i*i**(2\/13)*i)\/i) assuming i is positive.\nAnswer: i**(1013\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42340 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ab7 (base 14) to base 12\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -170.40163 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4015 divided by -5\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 16 = 446. Let y be l\/(-7)*11\/(-66). Let u(w) = w**2 + 3*w - 2. Let h be u(-2). Sort h, 4, y.\nAnswer: h, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, z: 1, s: 1, r: 1, i: 2, v: 11}. Give prob of sequence zsii.\nAnswer: 1\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 0*t - 26 + 38 - t**2 - 15 - 12*t + 2*t**2. Give i(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 8*v**2 + v + 16. Suppose 4*t + 47*x + 68 = 43*x, 5*t - 4*x = -13. Calculate a(t).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751835565 to the power of 1\/4, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/10515 and 88\/304935?\nAnswer: 304935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v = -235 + 40. Solve 5*s = 25, s - 5 = r - v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-1) + (-160 - -272). Let q = 18 + -18. Solve q = -120*i + t*i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3370 divided by -337?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 18. Let q be s(4). Find the third derivative of 70*c**3 - 16*c**q - 59*c**2 - c + c wrt c.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + 124. Let x be (31\/g)\/(2\/30). Solve 5*n + 4*u - 1 = 0, u + 2 = x*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8825 and 55?\nAnswer: 97075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 489, 1884, 4199, 7440, 11613?\n\"Answer: u**3 + 454*u**2 + 26*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 3 + 3)*(-10 + 1 - 7) + (n**2 + 4 - 4)*(-2 + 0 + 3).\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 0*o**4 + 5*o**2 - o**5 + o + 0*o**4 - 2*o**4.\nAnswer: -o*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 41836 = 46244. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o + 32. Let l be i(14). Factor -9\/2 - l*p + 1\/2*p**2.\nAnswer: (p - 9)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Solve 0 = 3*d - k*n + 2, -2*n + 7 + 3 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 7*a - 119. Calculate the smallest common multiple of a and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 5*r + 5. Suppose 4 = 2*s - 0*s. Let m = s + 3. What is the lowest common multiple of m and j(-6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5*w - 40 = -3*m - 32, 3*m = w - 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 1}. Give prob of picking 3 e.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - d - 4*d - 13*d.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -963.9 + 923. Let u = 43 + m. Let h = -1.6 - u. Round h to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g + 151 = 182. Sort 1486, -4, g.\nAnswer: -4, g, 1486","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23569?\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0*o - 110. Suppose -2*k + o = -3*w, 4*k + k + 2*w = 17. Let d(y) = -y**2 + 4*y - 1. What is d(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2. Let m be 4\/(-6)*-3 - -2. Let r(f) be the first derivative of -f**2 + m + 1 - 2. What is c(r(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 2613901609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 0*f**2 - 1\/3*f**6 + 0*f**3 + 0*f**4 + 4 - 2\/5*f**5 + 0*f. Suppose x(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, u: 4, d: 2, m: 4}. Give prob of picking 2 r and 1 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 898522897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2302?\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 38359*z. Let i(h) = 1140*h. Calculate i(m(l)).\nAnswer: 43729260*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 12:18 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5331.61ml to litres.\nAnswer: 5.33161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*l - 19, -4*l = -l + w + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*s + 47*t - 52*t, 2*t + 4 = 0. Let n be (-66)\/(-15) + 2\/(-5). Suppose 16 = 2*a + n. Solve 5*p = -a - s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -g + 2, 318*z - 320*z + 22 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 4*u**2 + 6*u + 1. Let l be a(-5). Suppose 4*x - 12 + 28 = 5*n, 5*n + 4 = -x. Is l less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + 1. Let v = a + -25.4. Let f = v - -13.5. Round f to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9, 3770 in ascending order.\nAnswer: -9, 0, 3770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 723*r. Let a(t) = -3*t**2. Determine a(w(i)).\nAnswer: -1568187*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-8)\/((-152)\/31863) + 0\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 20. Let f be o(-8). Let g be 18\/(-27) - ((-1928)\/(-3))\/f. Calculate the greatest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:25 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.67 + 0.77. What is the nearest to 2 in 4, q, 7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 4:03 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c. Let w(a) = -5*a**2 + 53026*a. Determine w(y(s)).\nAnswer: -405*s**2 - 477234*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1241275, 4965021, 11171237, 19859923, 31031079, 44684705, 60820801?\nAnswer: 79439367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = 3*h. Suppose 8 = -5*p - 207. Let y = -47 - p. Sort y, h, 5 in ascending order.\nAnswer: y, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98160?\nAnswer: 2, 3, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-2 - (5 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Suppose 0 = -4*q + 8*q - 5*o - 28, -3*q + b*o = -18. Suppose -22 = -h + 3*v + q, 0 = 5*h + v - 152. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/22 - (-60501)\/231. Suppose -p + 874 = l. Is 34 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -271, -62, 377, 1046, 1945, 3074, 4433?\n\"Answer: 115*q**2 - 136*q - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -20, 25*h = -p + 20*h - 11. Let z be ((-6)\/7)\/((-28)\/98). Solve -4*a = p + z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + k + 2. Let p be c(0). Suppose -4*a = -4, -17 + 62 = p*h + 3*a. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -12. Suppose -7 = -v - 2. Sort v, i, -2\/5 in ascending order.\nAnswer: i, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2\/19, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 13 = -5*q, 22*a - 72 = 28*a + 4*q. Suppose -3*b = -0*b. Suppose -z + 2 - 1 = 0. Sort b, -4, a, z in increasing order.\nAnswer: a, -4, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 77\/49 - 12\/(-28). Suppose 0 = -a*i + p - 18, -3*p - 12 = -0. Let f(z) = -z**2. Let x(w) = 6*w**2. What is i*f(m) - 2*x(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.329662952 to 5 decimal places.\nAnswer: -0.32966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-218)\/8*(-40)\/(-6) + -3. Let h = 185 + b. Factor h*k**3 + 0*k - 1\/3*k**2 + 0.\nAnswer: k**2*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8204885ug?\nAnswer: 0.0000000008204885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7397 = 4*m - 337. Let k = 314 + m. Let s = -2651 - k. What is s rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-45) + -2 + (-318)\/(-27). Suppose 5*k - 72 = 5*b - 22, -2*b = -4*k + 50. Suppose u - 3 = -4*d + z, -4*d + k = 3*u. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -7. Suppose -5*i + 6 + z = 2*j, 5*i + 15 = 5*j. Let w(a) = 24*a + 1. Is 17 a factor of w(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -16*s**2 + 48702*s + 97414. Determine k(-2).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8675772 and 42759162?\nAnswer: 598628268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 11:39 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-180))\/((-1)\/(-2))*228\/180*6.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 214.3 times -114\nAnswer: -24430.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 13, 0.26, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 88, 129, 170, 211?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 v when three letters picked without replacement from lllooooovvio.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(1\/2)*((c*c**(-1\/2))\/c*c)**24 assuming c is positive.\nAnswer: c**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.38 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:16 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*p - 15 = 0, p + 161 - 167 = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 111215771379124?\nAnswer: -111215771379128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -2\/3*j**3 - 74 - 4*j - 1\/2*j**2. Give p(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 != 193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 18*b**2 + 4*b + 18. What is the remainder when y(18) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -1\/15 (c) -10 (d) 47 (e) -3\/5 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8934817 to the power of 1\/2, to the nearest integer?\nAnswer: 2989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 457*d**6\/30 - d**3\/3 + 43*d**2 + 32*d - 2. Find the second derivative of f(v) wrt v.\nAnswer: 5484*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 14*g**2 + 11. Let j(q) = -3*q**2 + 73*q + 36. Let x be j(25). Give s(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 13. Suppose 0 + u = 2*j. Suppose -l = -j*l. Let w(z) = z**2 - z - 6. Determine w(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/72 - 2)\/(1\/(-1))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25508?\nAnswer: 2, 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.1. Let q = n - 0. Let f = q - 0.3. Which is the second biggest value? (a) 1\/10 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1584 + 468 + 1404 = 128*j for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + z = -z - 1471, -4*z + 8 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43724 = 2*f - 4*c, -7*f = -3*f + 5*c - 87396. Is 15 + -18 + f + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**3 - 4008*d**2 - 63616*d = 0?\nAnswer: -1988, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 680 - 2919 = 17*v + 61*v for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1d1f (base 16) to base 13\nAnswer: -3516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1224 (base 6) to base 9.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7015332 by 19.\nAnswer: -369228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -284360000 to the nearest one million.\nAnswer: -284000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20620630 = 24*p + 45430. Round p to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*r + 18, -5*w + w - 4 = r. Let v(b) = -b + 1. Let c(j) = 3*j**2 + 4*j - 9. Let q(h) = c(h) + 6*v(h). Is q(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -62. Let b be 12150\/c*(7 + 7). What is b rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1770 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13680)\/120*((-1)\/3)\/(2\/(-2))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 376169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(152)*2*-6)\/((sqrt(80) + 2*sqrt(80)*2 + sqrt(80))\/sqrt(10)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -2\/5, 0.06, -19, -0.02, 97?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 14. Let n be (-17)\/5 + u\/(-9). Let i = -5 - -10. Sort 1, n, i in ascending order.\nAnswer: n, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-2) - 0 - 2. Let l = -18\/11 - -65\/33. Let j = 58 + -59. Which is the closest to j? (a) d (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 587*b + 7468. What is o(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, -3927 in decreasing order.\nAnswer: 13, -5, -3927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6020691*c**4 + 45652*c + 1.\nAnswer: 72248292*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3424 is divided by 1527?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 4892*o - 9776.\nAnswer: -2*(o - 2444)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2 + 11*c - 5*c + 1. Let b(j) = -3*j - 18. Let k be b(-7). What are the prime factors of u(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -270009 + 1890067\/7. Factor -4*b**3 - 4\/7*b**4 + 4*b + s*b**2 + 0.\nAnswer: -4*b*(b - 1)*(b + 1)*(b + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30247504521870 - -0.5?\nAnswer: 30247504521870.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**6\/120 + i**5\/15 + i**4\/8 - 5*i**3\/6 + i**2. Let l = 177 - 307. Let h be l\/(-35) - (-2)\/7. Determine v(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 2, 3897 in ascending order.\nAnswer: -3, -1, 2, 3897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7782 and 10.719.\nAnswer: 7792.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - 151\/2. Let w = -97\/7 + 93\/7. Which is the biggest value? (a) 1 (b) r (c) 3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72*a*d**2 - 567936804*a - 4678352*d wrt d?\nAnswer: 144*a*d - 4678352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10829\/3 + 3183841\/882. What is the common denominator of j and -121\/10?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1871 by -73.\nAnswer: -1871\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + -3 + ((-3*sqrt(84) - sqrt(84)) + sqrt(84))\/sqrt(12).\nAnswer: -3*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/8 - 1453*l**2\/8 - 725*l - 1449\/2 = 0 for l.\nAnswer: -1449, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u + 30. Suppose -7*h + 9 = -u*h. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001020200 (base 3) in base 6?\nAnswer: -510243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.04 and -3574217661524?\nAnswer: 3574217661524.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/17*j**2 + 0 - 2\/17*j**3 - 2\/17*j.\nAnswer: -2*j*(j - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 82*s**2 - 3*s + 30. Let a be i(-6). Suppose 10*z - a = -0*z. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 633\/(-844)*(-24)\/9. Suppose -v = -4*m - 18, -2*m + v = 6*v - 2. Let p(g) = g**2 + 3*g + 2. Let d be p(m). Put 3, d, y, -5 in increasing order.\nAnswer: -5, y, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5\/11 - 1568*i**4\/11 - 1566*i**3\/11 = 0.\nAnswer: -783, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 8:00 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Suppose 5*o - 2*g - 40 = p, 6*g - 15 = -5*o + 3*g. Calculate the greatest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4279548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 728*g. Let d(w) = -3*w**2. Calculate t(d(n)).\nAnswer: -2184*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -226 + 272. Suppose -129 = 4*j - 7*j. Let g = w - j. Solve g*k = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3 + 1168904*r**2 + 2337802*r + 1168900 = 0. What is r?\nAnswer: -584450, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -318, -1556, -3700, -6738, -10658?\n\"Answer: 2*n**3 - 465*n**2 + 143*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 3*t**2 - 8*t + 26. Let j be m(6). Suppose 306 = 2*d + j. Factor -2\/9 + a**d + 7\/9*a.\nAnswer: (a + 1)*(9*a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8620*18.8\nAnswer: -162056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-40))\/((-12)\/90). Let h(r) be the first derivative of -8*r + 0*r**2 - 19 + 0*r**3 + k*r**4. Differentiate h(j) wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 s when four letters picked without replacement from usussssuussu?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.76 times -0.697519\nAnswer: 1.22763344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*(-610)\/12*(-22)\/55 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19936 - -19928. Put 20, -1, -3, c, 5 in decreasing order.\nAnswer: 20, 5, -1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/12)\/(1\/(-36)). Let u = -40 - b. Calculate the highest common factor of u and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + k - 3*b - 34, 2*k = -5*b - 5. Suppose 53*p - 49*p = 12. Let d = -19 - -36. Solve -p = -k*g + d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34468, -69206, -103944, -138682, -173420?\nAnswer: -208158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 3125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -536 + -1?\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*c - 146*c - 88*c - 88*c - 111*c + 536*c - 96*c.\nAnswer: -69*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide ((-231)\/15)\/(9\/(-72))*30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -45. Let s = 1521 - 1521. Suppose 0*i = i - 12. Solve 3*c = 3*v - s*v + d, -5*c + i = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 + 141 - 39 - (3 + (-18 - -2)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-22))**(-36)\/(g*g**3*g*g**(3\/4)*((g**3\/g)\/g*g)\/g**(-3)) assuming g is positive.\nAnswer: g**(3125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22465306.\nAnswer: 2, 11232653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2073 + -2067 + (17 - (1 - (3 - -1))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 4*j - 251 = -235, 5*j = -5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-55)*(-105)\/28.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + (-54)\/(-9) - 1*-8. Suppose 2*w = -10*l + a*l + 22, 3*l + 5*w = 13. Solve -4*c - x = -l*c + 2, c + 4 = -2*x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 15*i + 25. Let s be l(-18). Suppose -75*x = -s*x + 52. Solve 0 = q - 4*j, 0 = 2*q - 5*q - j - x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 + 3 + (-2 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 + 2*n**2 - 4*n**2 + (2*n - 5*n + n)*(-5*n + 4*n - n) to o*n**2 + h*n + w and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14895154.5 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 96767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 14*j - 159 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -87814.76 to the nearest one hundred.\nAnswer: -87800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:49 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156 - 109. Let b = s + -191\/4. What is the third smallest value in 3, b, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/21 (b) 2\/7 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54, 204, 450, 792, 1230, 1764?\n\"Answer: 48*p**2 + 6*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = n - 20*r, -3*n - 22*r = -17*r + 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4581331272.\nAnswer: 2, 3, 7, 3029981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2996 is divided by 994?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - (-24 + 30)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872*a + 568 = 613*a + 3676 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by 653?\nAnswer: -72\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 3. Let c = 1 + -1. Let p be k(c). Suppose p*x + 29 = 4*l, -3*x - x - 2 = 2*l. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11393*d**2 + 140*d + 62816432.\nAnswer: 22786*d + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-20)*-2*2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 6*y + 10. Calculate a(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 2)*(n**2 + 2*n**2 - 4*n**2)*(-3 + 3 + 2*n**2).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3088*l - 996*l**2 + 500*l**2 + 498*l**2 - 3088*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127426 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8786743 take away 7?\nAnswer: -8.8786743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - 9 - (6 + -15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/42)\/((72\/56)\/(-9)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.09 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 187226220889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 32 - 42 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (148\/(-222)*(-1)\/(-2))\/(2\/(-72))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-5))\/1)\/((-28)\/10)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6.739 - 38.94\nAnswer: -32.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**3\/3 + f**2 + f. Calculate z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/3 in 5, -1\/2, 29\/3, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - g + 1. Suppose 0 = 3*z + 2*z - 5. Let u(y) = 4*y**5 - 5*y**2 + 6*y - 6. Let h(d) = z*u(d) + 6*m(d). Find the third derivative of h(q) wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 + 0*w**3 + 3*w**3 + (-w**3 - w**3 + 0*w**3)*(3 + 1 - 2) - 5*w**3 + w**3 + 2*w**3 + (-2 - 3*w + 2)*(-16*w**2 - 34*w**2 + 18*w**2).\nAnswer: 89*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(-32)*d**2*d**(-5) assuming d is positive.\nAnswer: d**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 38080?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by ((-88)\/((-24)\/3))\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a year?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.006 + -0.08. Let i = -16.514 + h. What is i rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 47*v - 9. Let t(x) = -23*x + 4. Let p(s) = 3*g(s) + 7*t(s). Let k be p(1). Let z = k + 31. Solve h = 4*h + z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 51, -5, -3, -520, -4, 5 in descending order.\nAnswer: 51, 5, -1, -3, -4, -5, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 119*z**5\/30 - z**4\/12 - 239*z**3\/6 - 1075*z**2. What is the first derivative of o(w) wrt w?\nAnswer: 476*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 2. Let i(q) = -5*q + 10. Let t be i(3). Let u(j) = -2*j**2 + 5. Determine t*b(g) - 2*u(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3655.488 to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3059.38 and -0.5.\nAnswer: 1529.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -80. Let t = -9 - -20. What is the highest common divisor of v and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/8)\/f**(2\/23))\/((f*f*f*(f**(2\/21)*f)\/f*f)\/(f\/f**12)) assuming f is positive.\nAnswer: f**(-59147\/3864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -7, -32, -89, -190, -347, -572, -877?\nAnswer: -1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*o - o. Suppose 4*c - 3*s + o = 151, c + 2*s = 24. What is c rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/6)\/(d*d**(-2\/49)) assuming d is positive.\nAnswer: d**(-331\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l + 1. Let o be z(-8). Let p = -24 - o. Solve -v = -4*q + p, -5*q - 2*v = 3*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4150 + -4143. Solve -s = 2*x - r, -4*s + 7*s = -5*x + 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 12 - (-4 + 2 - -10 - 5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60.3 - 60.299671. What is p rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1105 divided by 1.\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 - 16\/4)\/(4\/(-80)) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277\/(-31) + 2 + (-832)\/403.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2))**(3\/4))**(-3\/38))**(-41) assuming w is positive.\nAnswer: w**(-369\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -0.53, 0.5, 15, 5\/3?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 5:11 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (145080\/(-1365) - -106) + 6*((-86)\/(-42) - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4753235 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 3\/43 (c) 3 (d) 0.6 (e) -0.2 (f) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*n**3 - 1408*n**2 - 312*n.\nAnswer: -2*n*(n + 78)*(9*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 7. Suppose 0 = -0*h - h - i + 1, -3*i - z = -h. Solve -2*y + 4*y**3 + 0*y**h + 2*y**5 - 4*y**5 = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -17.7. Let f = 31.2 + -34. Let d = f + 1.8. What is the closest to d in -2, k, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6698.449 seconds to milliseconds.\nAnswer: 6698449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -46*p - 218. Let c be (-6)\/(-8)*-2*(-10)\/(-3). Let b be v(c). Solve -3*m - m = b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189\/36*4\/(-6)*-3668?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*d**2 + 2*d + 3*d**2 + 2*d**2 + 2)*(-6*d + 0*d - 4*d) in the form c*d + r*d**2 + i*d**3 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(45) + -2*(0 + sqrt(7)).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:10 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*m + 108*m - 80*m = -4266 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkzzzzzkzzzzz. What is prob of sequence kkzz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18264690, 18264691, 18264692, 18264693?\nAnswer: 18264694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 63412*m - 63414*m - m**2 - 2*m**3 - 2*m**2 as l + f*m + n*m**2 + i*m**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**4 - 325*u**4 - 230*u**4 - 112*u**4)*(-1 + 2 - 3).\nAnswer: 1348*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = h - 11, -4*i + 4*h - 16 = 3*h. Let n(a) = -44*a - 70. Does 15 divide n(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 1260786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7*b**2 - 2 - 11*b**2 in the form t*b**2 + w*b + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6966653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1545 is divided by 364?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**3\/6 - b**2\/2 + 2*b + 2. Let q(i) = -3*i + 7. Let t = -95 - -99. Let x = 2 + -1. Determine t*u(l) + x*q(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -747, 5, -165 in decreasing order.\nAnswer: 5, 4, 0, -165, -747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.18 and 6097642.\nAnswer: 6097641.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -28, -46, -70?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140\/(-855)*(-12)\/(-784)?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v + 8. Let a(q) = 2*q + 7. What is 4*a(j) - 3*x(j)?\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -982 + 643*f - 71*f + 1970 - 988.\nAnswer: 572*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/280 and 113\/1876.\nAnswer: 18760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1371, 5431, 12209, 21711, 33943, 48911, 66621, 87079?\nAnswer: 110291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olol. Give prob of picking 1 o and 2 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*b + 33. Sort -5, -1, 1, b in decreasing order.\nAnswer: b, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 4*n - n)*(2*n - 2*n - 3*n)*(-1 - 1 + 5) + 0*n**2 - n**2 + 0*n**2 + (3 + 3 - 4)*(4*n**2 - n**2 + 0*n**2).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -51811034?\nAnswer: -51811040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -961291 divided by 115.\nAnswer: -961291\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 22158?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/3)\/(4\/(-114)). Suppose 0*c - 6*c = -258. Let v = c + a. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0 - 10)*(-146)\/5621*55.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1506 and 265809?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (69\/6)\/((80\/8)\/20). Suppose -2*w = 5*v - 3*w - 9, 5*v = -2*w + 12. Find the first derivative of 2*k + t*k**2 - v*k - 21*k**2 - 5 wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 20*j**2. Let v(l) = 2*l. Give d(v(s)).\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 944 - -336. Does 30 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -7 - 4 - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-50102)\/(-42) + (-10)\/(-105)?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**5 - 27*j**4 - 12*j**3 + j**2 - 51*j + 2. Let g(h) = -5*h**4 + 3*h**2 + 1. Let b(i) = -f(i) + 2*g(i). Find the third derivative of b(n) wrt n.\nAnswer: -60*n**2 + 408*n + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**4\/4 + g**3\/3 + g**2\/2 + 2*g + 4. Let h = -2 - 0. Let d be k(h). Calculate the greatest common factor of 108 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -65, -133, -239, -389, -589, -845?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + 1*sqrt(720) + sqrt(720) + 3 + sqrt(720)*1 + sqrt(720))**2 + -3*(3 + (2*sqrt(720))**2).\nAnswer: 672*sqrt(5) + 2915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/5)*d**(-13))**(-11))**(-8) assuming d is positive.\nAnswer: d**(-5808\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/112 and ((-178)\/(-12))\/(-40*(-14)\/12)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.122855 litres in millilitres?\nAnswer: 1122.855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -110000110121222?\nAnswer: -110000110121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 34089.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7820 and 334154465?\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 7:16 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 18*q**2 - 28*q - 65. Give d(-16).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*m - 23713 = 347*m - 36*m + 801 for m.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 25*q = 60. Solve -q + 0 = -5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1070*b + 8316. What is j(-8)?\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1486 - 0?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -0.3, 0, 1.17, -1\/7, 14 in descending order.\nAnswer: 14, 1.17, 0, -1\/7, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12497050 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (-5 - 111\/(-9)))*(-90)\/60. Solve 10 = -3*c - 5*j, 2*c - 8 - 27 = q*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3280 = -545*w - 111*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36702, -36700, -36698?\n\"Answer: 2*v - 36704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(48\/504*-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 128 = 6*u. Solve -2*o + 2 = -u, -4*f + 3*o = 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**3 - r**2. Let t be b(1). Let z(l) = 3*l - 1. Suppose 0 = -4*h + 5 + 3. Let o be z(h). Solve -4*u = 3*p - 1 + 9, -o*u = t*p + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 0*p**4 + 0*p**5 + 0*p**2 + 0*p + 11\/6*p**6 + 11\/3*p**3 - 18. What is the third derivative of j(w) wrt w?\nAnswer: 660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2345410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -43. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -30. Suppose -4*t + 1 = 9, 2*b - 88 = -m*t. Is 12 a factor of (-63)\/(-2)*b\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.3 + -276.3. Let x = 249.42 + s. Round x to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-16) + (-79668)\/(-2880))*(-5)\/3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -30. Let r = u - -11. Solve 0 = -r*i + i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = a + 3*b, 0 = -2*a + b - 4*b - 35. Suppose 5*z - 8 = g, g + 2*z - 4 = z. Let j = g - a. What is the least common multiple of j and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*v + 52*v - 21*v - 15*v - 448 in the form l + u*v and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5.45736 decades?\nAnswer: 0.545736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 + -5)\/(-64)*-20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19866064 to the nearest integer?\nAnswer: 4457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/13 - 19\/26. Let z = 4.2 + -3. Let g = 0.2 - z. Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r, -p + 0*p + 2 = 3*r. Suppose p*d - 18 = -d. Let g = d - -1. Calculate the smallest common multiple of 2 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/sqrt(9))\/sqrt(2).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.01 - -0.01. Let g = 6 + -3. Let l = 0 - g. Sort l, -1\/2, h in increasing order.\nAnswer: l, h, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*h**3\/2 + 24*h**2 + 18*h.\nAnswer: -3*h*(h - 6)*(3*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 258 (b) 6 (c) -36 (d) 29 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-84)\/(-1))\/(6*(-2)\/16). Let d = u + 110. What is the nearest to -0.4 in 8, 2\/11, d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 309 + -290. Let o be 5\/(-25) + 9\/(-5). Put o, a, -5, 5 in descending order.\nAnswer: a, 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i + 10. Calculate x(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, f: 13}. What is prob of picking 1 f and 1 m?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -34.2 * 0.29\nAnswer: -9.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 832318*q + 1440040 wrt q?\nAnswer: 832318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68) + -5))**2.\nAnswer: -80*sqrt(17) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {e: 3, y: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.71 to 1 decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*f + 382972 = 514104 + 835753. List the prime factors of f.\nAnswer: 3, 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o = 27*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tlxtlmxntxttz. Give prob of sequence ztnm.\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 f when four letters picked without replacement from {f: 3, b: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98070 and 510?\nAnswer: 1667190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3\/5 - 191*h**2\/5 - 4414*h\/5 - 8056\/5 = 0.\nAnswer: -19, -2, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t**2 + 12*t + 15. Let n be d(-12). Let c = 1496 + n. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2391\/4 + 332425\/556. What is the common denominator of m and 45\/11?\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/52 - -149\/780. What is the nearest to -1 in m, -2\/9, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4. Suppose g*j + l = 15, j - 3*j + l + 3 = 0. Let r(x) = 3*x - 2. Let t be r(2). Solve j*k = 5*k - t*m + 8, 0 = 2*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 197.7 and 12775.3.\nAnswer: 2525676.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(14)\/sqrt(252) + sqrt(2) + (sqrt(32) - sqrt(128)))**2.\nAnswer: 217\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25 - 67 - 80*s - 11 wrt s?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 e when four letters picked without replacement from {t: 2, u: 1, i: 6, e: 2, h: 7}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 1)*(-2*s - 206*s**5 - 11 + 207*s**5 + 225*s**2 + 12).\nAnswer: 4*s**5 + 900*s**2 - 8*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690401419 to the power of 1\/2, to the nearest integer?\nAnswer: 41114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 78, 0.2, -5, 0?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 - 88 = -95*u + 307. Let y = -19 - -21. Sort u, 1, y in descending order.\nAnswer: u, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-10)\/((k\/(k\/(k*k*k*(k*(k\/(k**(-1\/11)\/k))\/k)\/k*k*k)))\/k)*((k*k\/k**(-2))\/k*k)**(-5\/6) assuming k is positive.\nAnswer: k**(-608\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201121 - -21?\nAnswer: -2201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 9*i**2 + 8*i + 14. Let o be x(-12). Let d = 739 - o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 17*a = -2*s + 2954, 0 = -a. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 103 = 4*z. Let a(m) = -m**3 - 12*m**2 - 13*m - 27. Let q be a(z). Let f be q - (-3 + 3 + -3 + 4). What is the third biggest value in -1\/6, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 79 - 500*j**3 - 42 - 452*j**3.\nAnswer: -952*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/6*(-8 + 92\/10). Solve 1 = -9*q + 7*q + y, p*q + 5*y = -21 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.45 - -2.6. Let f = s + -0.05. Which is smaller: f or 2\/63?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -180 - -195. Calculate the remainder when 72 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 1410.\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**6\/15 + m**4\/4 - 4*m - 1. Let i(s) be the first derivative of k(s). Find the third derivative of i(x) wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((2 - 3) + 3)*2. Suppose -k*p**5 + 3*p**5 - 4*p**4 + 5*p**5 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/8 (b) -0.5 (c) -33\/19 (d) 2\/7 (e) -6\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -149, -20, -3057, -2 in descending order.\nAnswer: -2, -20, -149, -3057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1, -9\/8, 5.\nAnswer: -9\/8, 2\/9, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**3 - 2*s**2 + 15*s - 18. Let t(v) = -16*v**3 + 3*v**2 - 32*v + 37. Let o(u) = -7*r(u) - 3*t(u). Let d be o(3). Solve d*m - m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 h, and 1 k when four letters picked without replacement from {g: 1, k: 4, s: 1, h: 4, v: 3}?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 12570848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -17 + -6 + 25\/5. Let p(y) = -125*y + 83. Is p(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 17. Let h = r + -10. What is the second biggest value in -5, 2\/21, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -733, -1504, -2307, -3142, -4009?\nAnswer: -4908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 154\/23? (a) 5 (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 5, 4, -4 in increasing order.\nAnswer: -4, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.16 and 441708.\nAnswer: -512381.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1137*a. Let c(v) = 11*v**2 - 12*v + 6. Let n(b) = -64*b**2 + 70*b - 35. Let m(f) = 35*c(f) + 6*n(f). Give j(m(k)).\nAnswer: -1137*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137 by -7.\nAnswer: 137\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*v + 10 = -10, -17 = 3*u - 4*v. Is u - 34\/(-10) - 2393\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y = -10. Let c = 2 - y. Suppose -5 = -r - c. Solve r*q = m - 9, -5*q + 4*m + 0*m = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9400433?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1094 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(-11)\/2079*-27?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2*l)\/l**(-2\/7))\/(l**(-7)*l**(6\/7)) assuming l is positive.\nAnswer: l**(73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 4)*2\/4. Let n(v) = 3*v**3 + 3*v**3 + 8*v**3. Is 8 a factor of n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106\/3 - -314\/9. Suppose -46 + 44 = i. Let o be (i - -3) + (-2)\/2. Which is greater: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 33*s**2 - 1. Let y(p) = -87*p + 4. Let t(v) = 47*v - 3. Let z(r) = 11*t(r) + 6*y(r). What is z(n(d))?\nAnswer: -165*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2879749037?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/1*(-5)\/(-5). Let u = d - -3. Solve u = -2*r - 0*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 23*x**2 - 5*x - 9. What is i(9)?\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246 = -7474*m + 7351*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2316380593.\nAnswer: 73, 3581, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 7*i - 14. Let t be z(4). Let r be -6*2\/2 + t. Is ((-6097)\/(-52))\/((-2)\/r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 u when four letters picked without replacement from {l: 3, s: 8, u: 2, p: 4}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 3*o - 25 = 0. What is the third derivative of 9*h**5 - o*h**2 + 28*h**3 - 28*h**3 wrt h?\nAnswer: 540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 less than or equal to 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -610 + 611 - m + 3*m + (-4 + 2 + 0)*(-3*m + 3*m + 2*m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 672*v**2 + 8 + 7554*v + 7531*v - 15084*v in the form s*v + g + z*v**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 12*q + 2. Determine i(-6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9100 is divided by 3032.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - b = -i - 7, -3*b = 4*i + 27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6046071 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -96659?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 308592.31983.\nAnswer: 308592.01983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d. Suppose 4*r + 3*b = 23, 0 = -r - 5*b + 21 + 6. Suppose d*l - r = -l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, -3, -5, 2672, -4 in decreasing order.\nAnswer: 2672, 131, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 11327715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*x + 41, -6*w + 15 = -w - 5*x. What is the remainder when 20 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m - 2*m - 11*m.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**4 + 3*k**4 - k**4 + (22*k**2 - 10*k**2 + 4*k**2)*(-2*k + 2*k**2 + 2*k) as y*k + i*k**4 + u + d*k**2 + j*k**3 and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 595, -1, 2, 3, -5 in decreasing order.\nAnswer: 595, 3, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(42)\/sqrt(6) + 0 - sqrt(7) - (sqrt(252) + 1)**2).\nAnswer: -253 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39074*-0.5.\nAnswer: 19537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 20*y + 20. Is g(10) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/21)\/((-1)\/(-12)). Suppose -5*y = 2*b - 235, 3*b + l*y - 330 = y. Let t = -44 + b. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 130548996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/6*(-121968)\/4840?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*j*m**2*t + 3*j*m**2 + j*t - 18*j - 11*m**2*t + 2 wrt t?\nAnswer: 5*j*m**2 + j - 11*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-529*z + 3 + 532*z - 4)*(4*z - 2*z + z)*(-3 - 15 + 4) to the form r*z**2 + q*z + u and give q.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 4*u**2 + 4. Let j(o) = -3*o + 50. Let f be j(19). Let i be (3 + -1)\/(2\/6). Let v(s) = s**3 + 5*s**2 + 5. What is f*t(q) + i*v(q)?\nAnswer: -q**3 + 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:13 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 1. Let a(j) be the second derivative of j**3\/6 - j**2\/2 - 7*j. Let r(o) = 8*o - 8. Let i be r(-8). Let s = i + 71. Give s*a(k) - f(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1029217.3 to the nearest ten thousand.\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 3. Let y be s(3). Suppose y = 5*m + 4*b - 45, -2*b + 21 = 5*m - 14. Factor -2*n**4 + 2*n**m - n**5 - n**2 + 3*n**3 - n**4.\nAnswer: n**2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 11*s - 6. Let h be n(8). Let d(r) = 2*r - 10. Let i be d(7). Solve -2*a + u - 7 - 2 = 0, -i*u + h = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((520\/70)\/(-13))\/((20\/(-14))\/(4\/4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-6))\/d*d*d\/(d**10\/d)*d*(d\/d**(2\/25))\/d**1 assuming d is positive.\nAnswer: d**(23\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55563\/10 + 5563. Suppose 6 = -5*x - 4. Calculate the common denominator of (-1078)\/(-363) - x\/(-6) and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 6*l - 4. Let o be s(5). Let g = 19 + o. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1046355099 to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24845390*a*q - 24159397*a wrt q.\nAnswer: 24845390*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18617 = -284*b + 3849 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 617 - 616. What are the prime factors of (-630)\/(-90) + 420 + m?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*f - 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/511440, -1\/3, 1, 0.\nAnswer: -1\/3, -1\/511440, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -7. Let r(j) = j**2 + 9*j + 3. Let i be r(-6). Let m be (100\/v)\/(10\/i). Solve -4*s - 6 = -5*c + 26, -3*s - m = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbw when four letters picked without replacement from bwwbwxwbwxbxwxb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*o - 1. Let v = -7 + o. Let g = -1 - 0. Sort v, 0, g in ascending order.\nAnswer: v, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*-5*-198*134\/(-5896)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 3*o**2 - 5*o + 6. Let t be n(2). What is the derivative of t*z + 4*z + 11*z - 90 + 59 wrt z?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -31.9. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 4*n + 5*n - 5*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 2*l - 175*l**3 - 178*l**3 - l**4 - 180*l**3 + 535*l**3 to t*l + h*l**4 + f*l**3 + m*l**2 + o and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 3*y + 15. Let a(w) = 6*w**2 - 9*w + 44. What is -4*a(z) + 11*l(z)?\nAnswer: -2*z**2 + 3*z - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - n**2 + 4*n - 8. What is o(3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 1:31 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 11) in base 7?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/92 + 177\/644. Let s be 0\/((-7 - -3)\/4). Factor 0 + 0*q**2 + t*q + 2\/7*q**5 + s*q**4 - 4\/7*q**3.\nAnswer: 2*q*(q - 1)**2*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8999784 = 3*k - 4*q, 53*q + 8999736 = 3*k + 57*q. Round k to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 15*f**2 - 326*f - 27. List the prime factors of h(22).\nAnswer: 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4293161 by 1.\nAnswer: -4293161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1574 - 7867\/5. What is the closest to 9\/2 in d, 18, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/40 - 3*m**4\/8 - 7*m**3\/6 + 6*m**2 + 126*m. Let i(h) = 0. What is h?\nAnswer: -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -114. Let x = -43 + k. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/3, 5, -0.5, 14\/27.\nAnswer: -1, -0.5, -1\/3, 14\/27, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(5\/12)*w**9\/w**(-1\/4))**(-27) assuming w is positive.\nAnswer: w**(-1089\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 3*p**2 + 2*p + 2. Let z(g) = g**3 + g**2 - g - 1. Determine -2*c(o) - 4*z(o).\nAnswer: -2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Let j = 15 + -13. Let d(w) = w**j - w + w. What is a(d(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/9 - 58*r**2\/3 - 1460*r\/9 + 21888.\nAnswer: 2*(r - 81)*(r - 38)*(r + 32)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 2, e: 1, i: 2, s: 1, m: 1}. What is prob of picking 1 a, 1 s, and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16202640 is divided by 2314657?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -7, 2, -1, 37 in ascending order.\nAnswer: -7, -1, 2, 22, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c. Let t be h(1). Suppose t*i + 0*i = 124. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 9) + 2 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -40, -64, -92, -124?\n\"Answer: -2*w**2 - 14*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30946586 by -29929.\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**2*l*l**0*((((l*((l\/l**3)\/l)\/l)\/l)\/l)\/l)\/l*l*l*l**(-1\/5)\/l assuming l is positive.\nAnswer: l**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*q**3)*(34 - 34 + q)*(0*q - q + 3*q).\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 236653911.7 rounded to the nearest 100000?\nAnswer: 236700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*m = 64*m - 112. Let x = -15 - m. Suppose -7*k + x*k = 102. Solve 4 = 2*l - 4*a, 5*a = -3*l - 0*a + k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 212.1757m?\nAnswer: 0.2121757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (11250\/90)\/25*(-1)\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 5*a - 121 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*w + 28 = -29, 2*d - 4*w = 58. Let l = -23 - -8. Let m = l + d. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2 + 1. Let c be z(2). Put c, -5, 2 in decreasing order.\nAnswer: 2, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -207670, -415342, -623014, -830686?\n\"Answer: -207672*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -0.2. Let g be (-48)\/30 - 9\/(-15). Let h = -5\/116 - 6\/29. What is the closest to h in 2\/3, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -27 - (118 - 131)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 m when four letters picked without replacement from mcucmmmcmccmcmcmcmmc.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72793 - -656317\/9. Is b < 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4336*i + 24. Let f be p(9). Round f to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbibs. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16791 is divided by 5481?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 (base 7) in base 3?\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 2*p + 12*p - 15*p + p. Let g(o) be the third derivative of o**5\/5 - o**4\/6 - o**2. Calculate n(g(f)).\nAnswer: -12*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -668 + 2238 = 5*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 5*m - 2. Calculate f(-4).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1478265 divided by 5?\nAnswer: -295653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -q - 3*q + 27, 30 = 4*q + 2*a. Differentiate r - q*r**3 + 5*r**3 - r - 8 wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -43. Let o(n) be the third derivative of 0 + 0*n**3 + a*n + 1\/108*n**4 + 1\/90*n**5 - 2*n**2. Find x such that o(x) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1638 and -4\/1365.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 5*g**2 - 4*g + 2. Suppose 0 = -3*l - 0*l - 12. Let m be r(l). Let z = m + 1. Solve 0 = -0*a - 3*a - z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-25 + 16 - -4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 7:58 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 3, -5 in descending order.\nAnswer: 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1376489 (base 11) to base 14\nAnswer: 458236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l**4 + 0*l)*(l - l + 2*l) + (-13 + 26 - 20 + (3 - 4 - 1)*(1 - 1 - 1))*(-3*l**5 - 2*l**5 + 6*l**5).\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 57817.3 to the nearest one thousand.\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12662888, 12662866, 12662828, 12662774, 12662704, 12662618?\n\"Answer: -8*t**2 + 2*t + 12662894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**2 + 5*p + 2. Let t = -73 - -69. Let v(d) = -14*d**2 - 14*d - 6. Determine t*v(j) - 11*q(j).\nAnswer: j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -390*r*v**3 + 41*r - 4*v**3 - 18*v**2 + 5467*v wrt v.\nAnswer: -2340*r*v - 24*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000603589 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 977507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccccccclcccc.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vayj when four letters picked without replacement from jjjajvyyyzjvj?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -747 - -802. Solve 56 = -y*q + 166 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 354*q**3 + 2*q**2 - 4*q + 2. Calculate the smallest common multiple of p(1) and 12.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 970. Let m(b) = -b. Give v(m(n)).\nAnswer: -n + 970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 2 - (-1 - -1)) + (107 - (-107 + 198))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13577.982118 - -13578. What is f rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253100166.\nAnswer: 2, 31, 113, 383, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -32, -46, -60, -74?\n\"Answer: -14*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**5\/20 + i**4\/6 + i**3\/6 - i**2\/2 + 6*i + 4. What is s(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*g - 73*g = 210. Let t(v) = -v**2 + v + 1. Let l(p) = p**2 + 7*p. Calculate g*l(r) + 2*t(r).\nAnswer: -3*r**2 - 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -60 - -70 - (1 + 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 31*o + 5*w = 21*o, -35 = -4*o - 3*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10011110 (base 2) to base 11\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1764 and 5.\nAnswer: -8820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 979 and 4628?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/3)\/(-54))\/((-34)\/(-136))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 21. Let r be 55*-1*-3*h\/3. Let j = r + -114. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 835, 1390, 1959, 2548, 3163, 3810, 4495?\nAnswer: 5224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + 42. Let u(m) = -2*m - 28. Let v(n) = -5*p(n) - 7*u(n). Calculate the remainder when v(-17) is divided by 0\/(-1) + -1 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 14*i - 15*i. Calculate the remainder when i is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.432*6.\nAnswer: -2.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14051 equal to 14031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -323*o + 1273*o + 1105*o to v*o + h and give v.\nAnswer: 2055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -2 (c) -2517 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-44)*((-64)\/(-10))\/(-4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 8*d**2 + 8*d + 7. Let n be y(-7). Suppose n = v + 3*v - 16. Find the third derivative of 10*g**v + 2*g**6 - 10*g**4 + 4*g**2 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/395 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(88) + 2*sqrt(88) - sqrt(88) - sqrt(88)))\/(sqrt(2) - (sqrt(2) - (-1*sqrt(4) - sqrt(4))\/sqrt(2))) + 3.\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1893, -7542, -16955, -30132, -47073, -67778, -92247?\nAnswer: -120480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from santnns. Give prob of sequence ss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23655 and 8.\nAnswer: 189240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52039 = 6352*w - 37047 - 31602 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l, 0*w + 5*l = 2*w - 10. What is the second derivative of 2*a**w + 45*a**5 + 52*a - 2*a - a**4 wrt a?\nAnswer: 940*a**3 - 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 10*v**2 + 10*v + 3. Let u be h(9). Let s = 22 - u. Find the second derivative of 17 - s + 3*y - 7 - y**4 wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let v = 4 - y. Let k(m) = 21*m**3 - m. Let q be k(1). What is the greatest common divisor of q and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/36)\/((-45)\/24). Find k, given that q*k**5 + 4\/3*k**3 + 0 + 8\/9*k**2 + 8\/9*k**4 + 2\/9*k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 + -49. Determine c, given that -y*c**2 + 24*c + 14*c**2 + 20*c**2 + 48 + 18*c**2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b + 8*b + b**3 + 2*b - 13*b**2 - 5*b - 1 + 4*b. Give f(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/4*-1*(-56)\/(-196)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**11)\/d)\/d**(-11)*((d**15*d)\/d)\/(((d*(d\/d**7)\/d*d)\/d)\/d) assuming d is positive.\nAnswer: d**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -26d60b (base 15) to base 4\nAnswer: -13013333120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/480 and ((-1)\/(-936))\/(1620\/(-168156)).\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g. Let x(m) = -m**2 + 5*m. Let v(b) = 2*n(b) - x(b). Give v(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.16120336 - -0.16120526. Let n = -17 - -13. Let g = m - n. Round g to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*m - 14, 0 = 2*o - 6*o + 3*m + 12. Let t be (112\/24)\/(4\/o). Let j be -4 + t + -1 + -3. Which is greater: -3\/17 or j?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220816327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**2 + 20992*q + 110166016 = 0.\nAnswer: -10496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22653, -45302, -67951, -90600, -113249?\n\"Answer: -22649*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**4 + 5*n**4 + 0*n**4)*(-37 + 66 - 30 - 4*n).\nAnswer: -8*n**5 - 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25032 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321111001011 - -2?\nAnswer: -321111001003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.009, 1, -2\/11, 11, 2\/7 in decreasing order.\nAnswer: 11, 1, 2\/7, 0.009, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6856*s - 13719*s + 6891*s.\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -64381000 to the nearest one hundred thousand.\nAnswer: -64400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48885 and 7710.\nAnswer: 376903350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 142023*d - 10 = 142026*d, -4*i = -2*d - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51598 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/9 - 92*x**2\/9 + x\/9 + 92\/9 = 0. What is x?\nAnswer: -92, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84006 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 10*d**2 + 10*d - 1. Let y be s(-11). Suppose 11*j - 16*j = y. What is the remainder when 8\/(j\/8 - 77\/(-196)) is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 789 = v - 4*s, -2*s = -v + 786. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23776893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k\/k**(-2\/7))\/k)**(-9)\/((k\/(k*k**(4\/3)\/k))\/k)**47)**34 assuming k is positive.\nAnswer: k**(30056\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 514645 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r - r**3 - 31*r**2 + 5*r + 33*r**2.\nAnswer: -r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262.04449 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {k: 1, v: 1, e: 5, t: 1, o: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 25*h = -30*h - 544, 4*p + h = 520. Calculate the remainder when p is divided by 52.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*b = 2*q - 32, -q - 2*b = -4. Let c be 2477\/(-3) - q\/(-6). Let r = -844 - c. Find the common denominator of 61\/27 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) -0.702 (c) 1\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 318, 0.2, -6, 1\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g + 830. Let k(a) = 16*a. What is p(k(c))?\nAnswer: 192*c + 830","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**6\/6 + q**5\/4 - 5*q**4\/12 - 5*q**3\/6 - 74*q. Factor r(w).\nAnswer: 5*w*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y - 13. Let r be s(4). Solve 0 = -0*u - 2*u + r*x + 11, 19 = 4*u - 3*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a**3 - 1. Suppose -3*p + 5*r = -13, 4*p = 4*r - 0*r + 12. Let m be n(p). Let g = m + 18. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*a + 191 = -659 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (14\/(-44) + 13\/(-26)). Which is the second biggest value? (a) -1\/4 (b) j (c) -0.3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 62 = 3*k - 32 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 242970 - 395570. What is a rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(72) + 0 + sqrt(72) + sqrt(2) + 0 + 1 + -5) - (-1 + sqrt(200)\/sqrt(4) + (2*sqrt(98))**2).\nAnswer: -383 - 31*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4040 = -6*g + 202. Is 101 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 2*y + y)*(-7*y - 162 + 161 + 2*y - y**3 - 2*y**2) to the form b + t*y**2 + q*y + m*y**3 + p*y**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 0 - 7 - v + 4*v**2 - 7 + 15 - 2. Let x be -3 - 2*(-2)\/(-4). Is d(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1079 + 3*y + 1074 + 2*y**2 - 4*y + (0 + 4 - 2)*(-4*y**2 + 3*y**2 - y**2) to x*y + p*y**2 + m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -81 (b) -4\/61 (c) 77 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**3 - 18*g**2 + 67*g - 14. Is i(13) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -41212314044?\nAnswer: -41212314104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 - 77248*r - 2983626752.\nAnswer: -(r + 77248)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 11*p + 20114 = -10*p, 5*p = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -130133 (base 7) in base 8?\nAnswer: -57023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 4, m: 7, y: 1}. What is prob of sequence um?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -1744, -5852, -13850, -27034, -46700?\nAnswer: -74144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4701, -4676, -4633, -4572?\n\"Answer: 9*n**2 - 2*n - 4708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10763757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4779\/18 - (-1)\/1. Let m = -257 + l. Calculate the common denominator of m and -27\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-370)\/60 + (-14)\/(-2))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q = -4*h - 82*q + 11, -2*q = h - 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5512?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 5*w**4\/12 - 2*w**2 - 14*w. What is the first derivative of b(a) wrt a?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 12*n + 11. Let r = 4 + n. What is the smallest common multiple of r and 34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b + 4*b - 20*b + 7*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133085363.\nAnswer: 4421, 30103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.408 + -2.908. Which is the fourth smallest value? (a) -1\/3 (b) t (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = b - 199, -3*s - 380 = -s + 4*b. Round s to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 58338?\nAnswer: 291690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -5363 and -80461\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 1568870244 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/124*20\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 0 - 8*r + 0. Let m(x) be the third derivative of -34*x**2 + 0 + 1\/60*x**5 + 0*x**4 + 0*x + 0*x**3. Calculate m(d(l)).\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66 plus -235202855458?\nAnswer: -235202855458.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 381 + -267. Is ((-28)\/12)\/((-2)\/n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1553 take away -612.30137?\nAnswer: -940.69863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440663, 440655, 440647, 440639, 440631, 440623?\nAnswer: 440615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 205*g**2 + 723025*g - 35270.\nAnswer: 5*(g + 3527)*(41*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.96 + 1.96. Let m(s) = -s**2 - 5*s + 7. Let t be m(-6). What is the second smallest value in t, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/9 (c) -274 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 0, -8, 1, -2476 in ascending order.\nAnswer: -2476, -8, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, x: 1, n: 2, j: 4}. Give prob of picking 1 n, 1 f, 1 x, and 1 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16\/25 + 6\/25. Suppose -2*z - 6 = -5*j, 0 = -2*j - 3*j - z + 12. Let r be (-1)\/(j - 0)*-10. What is the smallest value in w, r, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 133?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4281052525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -466*z + 890*z + 62*z - 2*z**3 + 1842*z as n*z + k + l*z**2 + u*z**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -111*l - 6*l - 1887 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*c + 2421 + 3812 = 1813 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3736 = -14*y + 16*y, -3752 = -3*n - 2*y. Suppose -2*a = -2*t + 7142, -4*t - n = -3*a - 15532. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -13. Let m = b + 1. Suppose m = -4*k - 3*l + 23, 3*l + 1 = 5*k. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 184\/(-12)*(2 - 8). Suppose 0 = 4*y - 4*b - g, -6*y + 3*b = -2*y - 94. Solve -2*j + 6*j - y = -5*z, -5*z + 4*j = 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 - 5\/(-4). Let n be 2\/(((-12)\/(-75))\/(-2)). Let s = n + 49\/2. Which is greater: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 187*m + 547. Give n(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**4 - 50*p**3 + 180*p**2 - 270*p + 135 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqfdffduxdud. Give prob of picking 1 q, 1 f, and 1 s.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -7)\/(-14) - 4\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264932483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1087856 or 1087855?\nAnswer: 1087855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*z = -66*z - 24. Put 33, 8, z in descending order.\nAnswer: 33, 8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 - (-176)\/(-28). Calculate the common denominator of (-46)\/(-14) + (2 - 2) and 0 + 0 + 53\/s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 60, 78, 102, 132, 168, 210?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159 - -235. Let b = x + -76.2. What is the biggest value in 2\/7, b, -1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2 + 8*a + 4*a**2 - 5*a**2 + 8. Let r = 34 - 26. Calculate the remainder when 10 is divided by d(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-75)\/100*(-2)\/(-6). What is the nearest to -1\/4 in -1\/3, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14961 + -14959. Suppose 5*n - 3*x = n + 203, 227 = 4*n + 5*x. Suppose n = -4*l - 3*d + 9, 0 = c*l + d + 20. Are -8 and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 3 + (-20 - -17)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 0.0426?\nAnswer: -0.9574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from {x: 1, k: 2, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 984\/18*(-14)\/(-140)*(1530\/12)\/17\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 1. Let x be 2 + (20\/(-15))\/((-4)\/(-6)). Calculate i(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -5) + 0 - 0. Let j be 410\/24 - (40\/(-5))\/(-96). Suppose l*z - 7 = j. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4393536 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24854 (base 9) in base 4?\nAnswer: -10011133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10*n**2 + 101*n - 660. Let u be r(-28). What is the highest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - y**2. Let h = -6 + 4. Let i be f(h). Let n(m) = m**2 - 2*m + 4. Is 6 a factor of n(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 128\/(-12)*(-6060)\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**3 + z**2 + 21 + 0*z**2 - 21 as i*z**2 + t + j*z**3 + a*z and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 40*s**2.\nAnswer: 4*s**2*(s - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = -23756. Suppose 9122 + u = 5*q. Round q to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 1\/2642, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) 2\/151 (c) 10 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-390)\/(-63) - (4 + 2). Are w and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241498529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 15*v**2 + 1246*v + 5069. What is s(-4)?\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6 - -4. Let r be ((-150)\/10 - -8) + ((-126)\/(-15) - 0). Let g be (-4)\/10 + 4\/10. What is the closest to g in y, -1\/2, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-4)*36\/(-42))\/10\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -89288 divided by -22322?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -129.2 and 3050.\nAnswer: -394060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -5. Sort k, -3\/5, -0.2 in descending order.\nAnswer: k, -0.2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 3*i, -4*i - 3 = z + 2 - 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7*1 + -15 + 16. Let s(k) = k - 7. Let t be s(h). Solve n + 5*m = 3*n + 7, -2*n - 3*m + t = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + ((-1)\/(-1) - 3). Suppose 3*m = -u - 1, m + m + f*u = -2. Suppose m = 3*t - 8*t. Solve 0 = 3*y + 3, 2*x = -t*x + y + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000722 to five decimal places.\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -53*o**3 + 6*o**2 - 21*o - 5. Calculate r(2).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 349 + 1374.98\nAnswer: 1723.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5136535021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6419 rounded to 1 dp?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 879 and 18761669?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12113 (base 4) in base 11?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 11*a + 5150 = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 3*n + 2*n)*(-n - 270*n**2 + 0*n + 268*n**2 + 21).\nAnswer: 2*n**3 + 5*n**2 - 19*n - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14616?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 35*s**4\/12 + s**3\/6 - s**2 - 6*s + 2. Let k be o(2). What is the greatest common factor of k and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 999420138 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4175705744 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -1\/120*x**6 + 1\/15*x**5 + 0 + 4*x**2 + 1\/4*x**4 - 5\/6*x**3 + 0*x. Calculate j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/3, 5, -1115, -0.4, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 482000 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7 - 747*m + 2 + 1389*m - 188*m.\nAnswer: 454*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219 - 158. Let m = 0.034 - -64.966. Let l = t - m. What is the closest to 1 in -2, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102440)\/11032*7\/(-10).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166294341?\nAnswer: 3, 191, 96739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.09 (b) -1\/4 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2663, 2642, 2599, 2534, 2447?\nAnswer: 2338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 101 divided by -561567\nAnswer: -101\/561567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-99)\/27 + -1 + 0)\/(40\/(-3000)). Calculate the greatest common factor of 1250 and n.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygg when three letters picked without replacement from {y: 3, p: 6, g: 5, a: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 428951 (base 13) to base 4\nAnswer: 11331031301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(18)\/sqrt(3) + sqrt(6) - sqrt(72)\/(sqrt(36)\/sqrt(3)))\/(sqrt(6)\/sqrt(2)*-3*6).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 8*l + 6. Let a be q(-9). Let z be (8\/(-144))\/(1\/a). Let y = -1 + 2. What is the closest to y in -2\/7, z, 1\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - b - 1 = 8, -8 = 2*b. Let l be v - (-1 + 3) - 9\/(-3). Suppose n = -1 - 4. Sort n, l, -3 in decreasing order.\nAnswer: l, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3\/11 - 105326*b**2\/11 - 1393150640*b\/11 - 169767773400\/11 = 0.\nAnswer: -26270, -123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmxmmvq. What is prob of sequence xqm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1352 and 2028?\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121000 - -20?\nAnswer: -120320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 23*k = -4*f - 30924, 4*f + 23192 = 3*k. Is k a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111202 - -101121211?\nAnswer: 101010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 5:23 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2. Let u = 6 + -10. Let o be u\/10 - (-24)\/10. Let a(q) = 3*q**2 - o*q**2 - 2*q**2. Determine y(a(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 249*p - 3. Let m be y(2). Suppose 0 = 3*i - m. Suppose -5*q + 259 = 4*h, -3*h - i = -2*q - 43. List the prime factors of q.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)*k)\/(k**(1\/2)*k))\/(k\/(k*k**5)*(k*k*k*(k*k\/k**(-5))\/k*k*k)\/k) assuming k is positive.\nAnswer: k**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**2 + 0*j + 1\/12*j**4 + 1\/6*j**3 + 0. What is i(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m - 3. Let d(v) = -2*v**2. Determine d(r(h)).\nAnswer: -128*h**2 + 96*h - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 249.329 + -246. Let z = g - 0.029. What is z rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 4*o**2 + 4*o + 52. Let i be v(6). Suppose 4*u - 4*k = 5060, -i*k = 2*u - 524 - 2018. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 - 21*g - 82 + 175.\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88796.09ng in micrograms?\nAnswer: 88.79609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 281280 and -39562.\nAnswer: 241718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11788638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22407290690 and -1271.\nAnswer: -22407291961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 235 - 1. Let l = 145 + -863\/6. What is the common denominator of 2\/(-4)*1 - t\/138 and l?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -20, 2*k - 1 = -3*j + 3. Sort 10, -5, k.\nAnswer: -5, k, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12737077307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/210 - 79*d**5\/210 - 10*d**4\/21 - 20*d**2 + 25*d + 2. Factor y(t).\nAnswer: 2*t*(t - 40)*(2*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 + 0.6. Let l = -1.899733 + -0.100171. Let y = l - r. Round y to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 + 4*s**2 + 2*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - ((-10 - 1 - -8 - -1) + (1 - 4)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2 + 23466184*q - 34416361970116 = 0. What is q?\nAnswer: 2933273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/71600 and -61\/64.\nAnswer: 286400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*o + 2)*(0 + 4 - 5)*((-2*o + 0*o + 4*o)*(-1 + 1 + o) - 3*o**2 + 0*o**2 + 0*o**2).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-10)*n**(-2\/5))**(14\/3))**50 assuming n is positive.\nAnswer: n**(-7280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.1, -1, 0.03, -0.032 in descending order.\nAnswer: 2\/9, 0.1, 0.03, -0.032, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -30*g. Let c(q) = -21*q. Let a(v) = 6*c(v) - 4*m(v). Let z(h) = 21*h**2. Calculate z(a(t)).\nAnswer: 756*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**4 - z**3 + z**2 - z - 1. Let g(l) = -32*l**4 - 6*l**3 + 6*l**2 - 6*l - 36. Let x(j) = -g(j) + 6*k(j). What is the derivative of x(y) wrt y?\nAnswer: 104*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -87312 and -0.04.\nAnswer: 3492.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51691776*n + 72376419.\nAnswer: 51691776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/10 + (-4530)\/(-11325))\/(300\/4)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n**2 - 20*n - 25. Let g(w) = w**2 + 4*w + 5. Let t(p) = -11*g(p) - 2*u(p). Let y be t(5). Solve y*a + a = -4*r + 21, -4*r - 9 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*a - 15 = 0, -5*g + 12 = 2*a - 7. Put -3, 2, g in ascending order.\nAnswer: -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1813 - -3541. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 12, 17, 24, 33, 44?\n\"Answer: w**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 324\/8 - (-1)\/(-2). Suppose 3*m = 8*m - w. Let x = m + -8. Solve -u = -x*u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + -2*(-1)\/2. Suppose y - n = 6*y. Let z(s) be the first derivative of -2*s**3\/3 + 2*s - 355. Determine z(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 2. Let b be (1 - (1 - 1))*-1. Let c be 14\/4*(b + 3). Let w(l) = -1334 + 3*l + 2654 - 1322. Calculate c*w(f) - 6*i(f).\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h + 34. Let o be g(0). What is the highest common factor of o and 510?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(7\/(-3)) - 180\/4680*-130\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 + -1.2. Let a = -4.2731 + 0.2731. What is the closest to -2\/5 in a, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 14) to base 12.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-3 + -1)) + 24 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o + 16*o + 6*o = 59 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9081*f - 9081*f - 3*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453 divided by 3?\nAnswer: 1453\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 431911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 211, 1915, 3631, 5365, 7123, 8911, 10735?\n\"Answer: j**3 + 1697*j - 1487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 - 40 - 45 - 37 + 122. Let r(o) = -151*o**2. Calculate r(h(c)).\nAnswer: -1359*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2. Let a(g) = 1209030*g**2. Calculate a(i(d)).\nAnswer: 1209030*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3474562\/27 less than -128688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 212665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 16*j + 18*j - 10*j**2.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17806252323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + j)*(-2249*j**2 + 5217*j**2 - 2353*j**2) to f*j**2 + l*j**3 + t*j + w and give l.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.1. Let b = 19315 + -19314.95. What is the nearest to -0.4 in b, a, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d + 153000. Let u = 17 - 5. Suppose 0 = -5*r - c + 4*c - u, 2*r - 8 = -2*c. Let n be q(r). What is n rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/270 + 84\/10 + -8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321 = -43*v - 19*v - 507 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 902 (base 13) to base 6\nAnswer: 11015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -126 - (-78 - ((13 - 23) + -45)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 1. Let n(x) = 6*x - 8. Let a(j) = -n(j) + 4*u(j). Let g(w) = w**3 + 11*w**2 - 3*w - 27. Let s be g(-11). What is a(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -664.7671 - 994.\nAnswer: -1658.7671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27030*l - 201*l**5 + 27030*l - 2*l**5 + 0*l**5 - l**5 + (3*l**3 - 3*l**3 + 2*l**3)*(-1 + 1 + l**2) + (-3*l + 5*l + 0*l)*(8*l**4 - 2*l**4 - 2*l**4).\nAnswer: -194*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*n + 152, o + n - 20 = 8. Solve o*t + 159 = -45 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 417372032 and 2068?\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*h + 120*h + 3*h**2 + 91*h + 82*h in the form q*h + o + s*h**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 2*f**7\/7 + 10*f**6\/3 + 61*f**5\/5 + 59*f**4\/3 + 40*f**3\/3 - 105*f + 1. Solve x(s) = 0.\nAnswer: -5, -4\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 4*j**2 + 4*j - 2. Suppose -4*v - 2*r - 22 = 0, -v - 4*r - 9 = -0*v. Let h be n(v). Which is smaller: 8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5642+-0.084\nAnswer: -5642.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 2*p + 16. Let b(m) = 3*m**2 - 3*m + 17. Let l(q) = 3*b(q) - 4*f(q). Let y be l(10). What is the greatest common divisor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 65*i - 703. What is c(41)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1\/6*-1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16669 is divided by 416.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-96)\/(-14))\/(6\/21). Solve -3*t - 10 = 2*u - 0*t, 4*u - 5*t = h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1470)\/924*2*-11.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 9:10 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 914, 5, -8 in descending order.\nAnswer: 914, 5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7629, 7628, 7627, 7626?\nAnswer: 7625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 122*s + 300*s - 54*s - 2)*(0*s - 3*s + 6*s) in the form l*s**2 + c*s + u and give l.\nAnswer: 1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 569358776?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 57\/4, -3\/2, -1, 106\/9, 0.2?\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((h\/((h*h**(-2))\/h))\/h))*h)\/(h\/(h\/((h**(-2)*h)\/h*h)*h)))\/(h**2)**(-36) assuming h is positive.\nAnswer: h**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**2 + 14*o + 13. Let r(f) = 14*f**2 - 41*f - 38. Let j(c) = 17*m(c) + 6*r(c). Let l(a) = -288*a + 143*a + 106 + 117*a. Let t be l(4). Give j(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l**3 - 12*l**2 + 2*l + 10. Let z be o(5). Suppose -3*b + 171 = s - 193, 5*b = -4*s + z. What is the greatest common factor of b and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g = 10196 - 10042 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4704 and 15456.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -14*q - 28. Is 28 a factor of l(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 46?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 - -20. Is (-1)\/((-21)\/w)*-7 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.07279058712873 and 0.5.\nAnswer: 0.57279058712873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.2, -1\/306, -1, -5 in descending order.\nAnswer: 2\/5, 0.2, -1\/306, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 50)*2\/3. Let i(f) = f**2 - 24*f + 22. Let z be i(22). Let x = z - b. What is the remainder when 47 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 442 - 3078\/7. Solve 50\/7*y**5 + 0 + 228\/7*y**3 - 104\/7*y**2 + j*y - 190\/7*y**4 = 0 for y.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41166256951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 3*o**5\/10 - o**4\/12 - 4*o. Find the third derivative of l(i) wrt i.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 249\/51 + 5\/(-1). Suppose -3*p = -p - 4*l, -2*p - 2*l - 12 = 0. Let g be 2*p*1\/(-2). Put g, -3, n in increasing order.\nAnswer: -3, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 377560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37863887?\nAnswer: 547, 69221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1125 (base 7) in base 15?\nAnswer: -1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -84643 and 109.\nAnswer: -84534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 6 = -3*j, 44 = 4*p - 4*j. Suppose -p*u + 3168 = -2*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -77. Let m = -62 + l. Let p = m + 151\/6. What is the smallest value in 0.5, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-102)*3872\/968.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5706643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/419256 and 7\/96.\nAnswer: 1677024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**2\/2 + j - 8. Give i(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112211202222 (base 3) to base 11\nAnswer: 18a566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/30*-4*1\/(-12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-586)\/(-14) - 2\/(-14). Calculate the greatest common factor of y and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*r**4 - 14 + 3 - 7 with respect to r.\nAnswer: 84*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16599, -16600, -16601?\nAnswer: -16602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g - 66*g = -70*g - 1456. Solve -103*w = -99*w - g for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26424 and 2484?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44144, -44145, -44108, -44015, -43848, -43589?\n\"Answer: 3*y**3 + y**2 - 25*y - 44123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 11b7?\nAnswer: 11ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227, 212, 197, 182?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20343 (base 7) in base 10?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 13*a**2 - 15*a + 6. Let s be i(9). Suppose -6*f + 735 = s. Which is smaller: f or 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14734\/(-3180)*(-10)\/(-112) and -59\/44?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4636\/(-8)*1320\/(-30)?\nAnswer: 2, 11, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 587.307744 + -0.344444. Let g = p + -587. Round g to 3 decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 310 (b) -7 (c) -2 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 306800 < 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, u: 2, m: 2, v: 2, q: 10, l: 1}. Give prob of picking 2 y and 1 v.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1005)\/(-35) - 5 - 2\/(-7). What is the greatest common factor of b and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, q: 3, b: 1, f: 8, j: 1}. Give prob of picking 1 j, 1 b, and 1 q.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 2, i: 14}. What is prob of sequence iiip?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 3*w**2 + w + 0*w**2 to o*w**2 + a*w + b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*q + 82 = 0, -4*a + 5*q + 61 + 42 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38777\/15 - 2584. Let g = -4\/5 + d. Which is the nearest to -3? (a) g (b) -1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 58 + 25 - 30*d.\nAnswer: -30*d + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1999900 divided by 4?\nAnswer: -499975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 121*o + 243*o - 124*o to the form d*o + a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1244 - -2045. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - ((15 - 5) + -22 + 24)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1537 and 583.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*n. Suppose b - 7*b = 0. Suppose -5*t - 2*g + 4*g + 35 = b, t + 2*g + 5 = 0. Solve t*f - 5 = -n*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6230 and 16322?\nAnswer: 50843030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.43385247.\nAnswer: 2.16926235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*f**4*u**2 - 115322*f**4*u + 1966618*u**2 wrt f.\nAnswer: 76*f**3*u**2 - 461288*f**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9130131581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-3 - -1))*(-8)\/(-4). Let o(v) = -v**2 + 10*v - 21. Let f be o(4). Solve 0 = g - f*n + 4, -n = 3*g - p*n - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 29 = -5*h, -5*h = p - 29 + 53 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14085111 is divided by 1536.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*b - 4 = 5, -4*b = 2*x - 12. Suppose -x*u - 15 = u + 2*m, 0 = 4*u + 3*m + 19. Is (u - 0) + 1*11 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190582126?\nAnswer: 2, 7, 829, 16421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:51 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1226, -5132, -11658, -20804, -32570?\nAnswer: -46956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 + 22*p + 68\/3.\nAnswer: -2*(p - 34)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuq when three letters picked without replacement from uuueuqeeqeuuue.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0777? (a) 2\/7 (b) -1\/3 (c) 0.3 (d) -1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*l - 1. Let n(q) = -2*q**2 - 7*q - 1. Let z be n(-2). Suppose 6*m - 2*m - 1721 = 3*o, z*m + l*o = 2158. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 4. Let b be 9\/6 - o\/2. Solve -3 = 3*j - b*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z + 94. Let k(c) = -11*c - 185. Let t(v) = 2*k(v) + 5*y(v). Let h be t(-17). What is the greatest common divisor of h and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11044015*c - 15493758 with respect to c.\nAnswer: -11044015","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9625 + 49*o**2 + 19249 - 9624.\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -341 + 194. Let g = v + 350. List the prime factors of g.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -4*f + s - 5228, -2*f - 5*s + 5212 = 0. What are the prime factors of f?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58688 and 150144?\nAnswer: 137682048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41173?\nAnswer: 11, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 f, and 1 v when three letters picked without replacement from {f: 1, m: 2, v: 2, o: 1, e: 2, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 17*v - 5*v - 3*v + 15*v + 27*v.\nAnswer: 51*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.12, -0.5, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202100 - -100120112?\nAnswer: 21211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -882*s**3\/13 + 52036068*s**2\/13 + 9911656*s\/13 + 471984\/13 = 0.\nAnswer: -2\/21, 58998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 6*r + 3. Let z be x(4). What is the closest to 1\/3 in -2, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5162730764.99999991 + -5162730795. Let x = 30 + j. Round x to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 9*z**2 + 4*z - 28. Let k be y(8). Let j = 69 + k. Calculate the remainder when 188 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.989 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) 2\/39 (c) 0.1 (d) -0.0526 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 + 99*j - 313. Give d(46).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 2:03 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*z + 122, -3*z + 2*q = -53 - 39. What is the third derivative of 5 - 22*t**4 - 5 - z*t**2 + 8*t**2 wrt t?\nAnswer: -528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10256 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 2. Let q be m(-3). Let n be q\/(-3) - 17\/3. Let r(h) = -h**2 - 6*h - 7. Determine r(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, 0, -11, -5 in descending order.\nAnswer: 202, 0, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = 3*t. Let s = -164249\/19608 - -4\/2451. Calculate the common denominator of (-27)\/t*2\/20 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -243788042*d**3 + 172452257.\nAnswer: -731364126*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3916039804?\nAnswer: 2, 59, 2113, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - t - 5*t - 9*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -140 and -56?\nAnswer: 7840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 30*p + 256. Let a(f) = f**3 + 39*f**2 + 23*f + 37. Is a(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.394401 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l. Let x(y) be the first derivative of 2*y**3\/3 + 4. Determine x(d(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -52131\/38290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 661744*x + 48285996.\nAnswer: 4*(x - 165363)*(x - 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6 and (-5)\/12*12*(-110)\/(-160).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**3 - 550*t**2 + 15485*t - 129960 = 0. What is t?\nAnswer: 19, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + 1 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 times -13\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 778555965 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14113.0706 - 14111. What is j rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/(-98) - (-1)\/7. What is the second biggest value in w, 96, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 14 = 5*t, 17*d + 9 = -3*t + 20*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*g**3 - 48*g**2 + 270*g - 92 = 0 for g.\nAnswer: -23\/13, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-1)\/p)\/(p**(-3)*p))\/(p**(2\/3))**(-15))**(-32))**(-3\/19) assuming p is positive.\nAnswer: p**(1056\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1\/2 (b) 10 (c) 0.2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (3 + -3 - -5 - 15 - 24)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-14\/3)*f\/(f**28*f)*f)**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/182380 - 631033\/328284. What is the common denominator of 57\/10 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2423 - 1171. List the prime factors of r.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 2714582.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 155488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -8, 6 in decreasing order.\nAnswer: 6, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1343 or 1373?\nAnswer: 1373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 14 = 36*n + 26 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275.03061 nanoseconds to minutes.\nAnswer: 0.0000000045838435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3255\/735)\/(11\/77)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -9785830.\nAnswer: -9785829.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 less than -367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -14. Suppose -2*z = -2 - x. Solve -z*w + 10 = -2*k, 0*w = 2*w - 3*k + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*s + 156*s - 283*s.\nAnswer: 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12556 + 2303?\nAnswer: -10253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3198528, -6397056, -9595584, -12794112?\nAnswer: -15992640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 12:24 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 144. What is t(43)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*y + 229*y + 91*y + (-3*y + 4*y + 2*y)*(-1 - 2 + 4) - y - y + 3*y as j*y + m and give j.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + 13\/3. Let d(q) = -2 + 0*q**3 + 3*q**3 + 3 + 4*q**2 - 4*q**3 + q. What is the units digit of d(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -439321 at least as big as -439324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9285.\nAnswer: 3, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/80 - 553485\/(-300)?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by -26?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10585 + 16731. List the prime factors of d.\nAnswer: 2, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1742234425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9883901.9 rounded to the nearest 10000?\nAnswer: 9880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6 + 43*l - 175*l + 42*l + 49*l + 43*l. Let f = 15 + -10. Calculate u(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r - 3*g = 47, -4*r + 31*g - 59*g + 30*g = -22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 g when four letters picked without replacement from dadqdtqeqeqg?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -17*n + 13*n - 12, 0 = 2*d + 8*n - 3*n + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 91. What is the nearest to 2\/9 in 0.3, j, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b4 (base 16) in base 6?\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 20*u**2 + 2510*u + 2520. Let v(t) = 23*t**2 + 2510*t + 2523. Let r(h) = -6*m(h) + 5*v(h). Factor r(x).\nAnswer: -5*(x + 1)*(x + 501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5320 and 19601920?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 271*q**5\/60 - 2657*q**2. Let a(z) = -z. Give h(a(i)).\nAnswer: 271*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.84 - 0.01.\nAnswer: 36.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-3))\/(2\/(-3)). Suppose -3*f = 4*y + 7, 4*y - k*y = -3*f - 2. Let z = 5 + -2. Which is the nearest to f? (a) -4 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7366324 is divided by 2455418?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, d: 2, n: 1, j: 1, h: 4}. What is prob of picking 1 d and 1 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*s + 67 + 86 - 188)*(2 - 2 - s)*(0 - s + 0) as b*s**2 + g*s + r*s**3 + y and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/9 - 10004*r\/9 = 0. Calculate r.\nAnswer: -10004, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -1 - (0 - 90\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3086107 = -m - 4*m, -2*l + 1543037 = -3*m. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 737827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + 123. Let l = q + -137. Differentiate x**l - 13*x**2 - 7*x**2 - 9 - 15 with respect to x.\nAnswer: -38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 9*b**2 + 8*b + 2. Let v = 8 - 0. Let a be t(v). Let s be (-3)\/2 - (-1)\/2. Sort 0, a, s in descending order.\nAnswer: a, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/2*(-4)\/(-12). Let l = q + -2. Let p be (-6)\/(-4)*-10*(-2)\/(-6). Sort l, -2, p in decreasing order.\nAnswer: l, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 518*g**2 + 32587*g - 32587*g + 253 with respect to g.\nAnswer: 1036*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*p = 51*p + 5*h - 16, 2*p - 22 = -5*h. Solve -16*r + p = 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5*d - 7, 4*d - 14 + 0 = 5*h. Let f be (h - (-9)\/4)\/((-21)\/112). What is the third smallest value in -0.1, f, 1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1157160 or 1?\nAnswer: 1\/1157160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 26156*z.\nAnswer: -4*z*(z + 6539)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*j - 29*j - 1120. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 i when three letters picked without replacement from {i: 3, x: 12}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64.9 - -65. Let f = 27.999 + -28. Let s = 0.001 + f. Which is the second smallest value? (a) 4\/7 (b) s (c) m (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {u: 2, s: 14, b: 1}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (52\/39)\/(36\/30*-1)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/440 and 16\/1734623?\nAnswer: 69384920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/60)\/((-1)\/(-8)*3)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 82*j + 29. Let t(u) = 82*u + 28. Let h(q) = 5*n(q) - 6*t(q). Let a(g) = -21*g - 871. Let w be a(-41). Is h(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.001 + 2.101. Let f = -2.4 + i. What is the closest to -0.1 in 1\/2, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 323554?\nAnswer: 323545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((938\/1005)\/(-7))\/((8\/42)\/2)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -7*m. Solve m = 2*o - 5 + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -10) + 21 + -27?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -6)*(-14 - -558)\/1. What is the greatest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27276 - -139?\nAnswer: 27404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g*(g*g**(-29))\/g*g))))\/(g\/g**8) assuming g is positive.\nAnswer: g**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*h**2 - 1 + 3 - 3343*h + 98*h**2 + 3311*h.\nAnswer: -35*h**2 - 32*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 23. Let z(h) = -h + 23. Determine 5*f(v) + 4*z(v).\nAnswer: v - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*f - 5*m, -2*f = -241*m + 245*m - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -98*c + 3*c**2 + 98*c + 0*c**2. Let t(a) = -a**2. Give r(t(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 710*f**3 - 8*f**2 - 9*f + 4. Let v(k) = -712*k**3 + 10*k**2 + 11*k - 4. Calculate 5*j(a) + 4*v(a).\nAnswer: 702*a**3 - a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 - 2*x + 2. Let d(j) = -j**3 + 26*j**2 - 11*j + 11. Suppose 8*b = 2 + 14. Calculate b*d(a) - 11*y(a).\nAnswer: -2*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 259 = -0*s - 25*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 8*j - 8. Let g be y(6). Suppose 5*v - 2*o - 19 = -3, 5*v + 2*o = g. Let h(r) = 2*r**3 + 2*r**2 - 3*r + 2. What is the units digit of h(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o. Let s be a(-5). Let h = s + -4. Suppose -3*u = 2*u - 90. Calculate the highest common factor of h and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + -0.83. Let q = 2.33 + j. Let h = q - 2.6. Sort h, -4, 0.5 in increasing order.\nAnswer: -4, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4, -1811 in increasing order.\nAnswer: -1811, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 6*u**2 - 2*u + 22. What is the smallest common multiple of a(6) and 416?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -263708\/5 less than -52741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 22. Put p, 1, -0.1 in descending order.\nAnswer: 1, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 952*v - 951*v. Let p(a) be the third derivative of 2\/27*a**3 + 0 + v*a + 26*a**2 + 5\/108*a**4 - 1\/90*a**5. Factor p(j).\nAnswer: -2*(j - 2)*(3*j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2 - 12*j + 8. Let d(b) = b**2 - b. Let f(v) = -5*d(v) + k(v). Let q be f(6). Suppose -3*z = -4*z + q. Solve 0 = -z*w + w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3851*r - 99318 - 118122 = 9891*r for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (54\/(-45))\/((-84)\/(-30)). What is the closest to 3 in -0.16, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35 - -8?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -620.2 - 35.8. Let k = -651.09 - f. Let m = k - -0.09. Which is the nearest to 2\/3? (a) -2 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -10*d + 10. Let a(w) = -13*w**3 - 3*w - 13. Let j(t) = 26*t**3 + 5*t + 25. Let u(c) = d*a(c) - 3*j(c). Differentiate u(r) with respect to r.\nAnswer: -39*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 230 and (-1)\/(-3)*31650\/211.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:03 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(6)\/sqrt(2) + sqrt(3)))\/sqrt(3) + -2.\nAnswer: -2 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1204212 (base 5) to base 6\nAnswer: 251504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13208905 a multiple of 1093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2638298 divided by -10387?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 10, g: 5, w: 4}. What is prob of sequence wg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Suppose z*y + 24 = -y. Let q = 2 - y. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1950513 and 733?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3 - 8. Suppose -r + 5*b = -13 - 6, -2*r - 5*b - 7 = 0. Suppose -f + h + s = 0, -3*f + 16 = r*h - 8. Solve 0 = 2*t - 0 + f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73178235*c**3 - 75645091*c**2 wrt c.\nAnswer: -439069410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -26. Let h be -2 - (-2 - -2 - 0). What are the prime factors of 74*(12\/b - h)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*j*t*w*z + 66*j*t*w - j*w*z - 963*j*z - 3*t*w**2 + w**2*z wrt t?\nAnswer: 4*j*w*z + 66*j*w - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -75355865 divided by 4\nAnswer: -75355865\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6*k + 1068. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a factor of 282021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 49008*r - 1 - 15514*r - 50319*r.\nAnswer: -114841*r - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-4\/21)*i*i**22)\/(i**(-1\/36)\/(i*i**(-2\/21)\/i)) assuming i is positive.\nAnswer: i**(6079\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 83242724 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**3 - 5*m + 6. Let q be v(2). Let x be q\/28 + (-8)\/(-28). Let j(h) = 30*h**2 - h + 1. Is 25 a factor of j(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110241680 and 44096672?\nAnswer: 220483360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7452 + -7388. Solve -85 = 7*v - g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 - z**2 + 3*z**2 + (-2 + 2 - 1)*(-z**2 - 2*z**2 + z**2) + (-9*z + 11*z + 8*z)*(z - 3*z + z) as g*z + u*z**2 + y and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3 - 35793191*d**2 + 96390005 wrt d?\nAnswer: 6*d**2 - 71586382*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42156, -84315, -126476, -168639, -210804?\nAnswer: -252971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**5 + 130*g**4 + 920*g**3 - 1956878*g**2 wrt g?\nAnswer: -420*g**2 + 3120*g + 5520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -1\/2, 0.03, 1\/1143, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**4 - 2*g**3 - 14*g**2 + 6*g. Let w(p) = -5*p**4 + 4*p**3 + 27*p**2 - 11*p - 1. Let o(i) = -7*b(i) - 4*w(i). What is c in o(c) = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 + 3 = 0. Let x = z + 37. What is the highest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -47709*z + 1478874. What is i(31)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4027 + -4028. Which is the closest to -0.1? (a) 0.056 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*q + 36*q**2 - 38*q**2 + 3 - 4*q to f*q**2 + g + z*q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*h, 0*a = 3*a - 4*h + 188. Let s be 2\/(-7) + (-184)\/a. Let q = -8 - -17. Solve -3 - q = -s*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Let n(l) = 4*l**2 + 2*l + 1. Let a be n(2). Let s be (1\/(-3 + 2))\/(-1). Solve c + 2*c - a = 3*v, -2*v + s = j*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(1 + -2)*-3. Suppose -2*h + k*h = 6. Solve r = -0*g + g - 3, h = 4*r + 2*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1310*r + 19 - 14 + 14.\nAnswer: -1310*r + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 2 + 0*p**2 - 1\/8*p**4 + 1\/6*p**3 + 0*p. Suppose z(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 14. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 28*u**2 - 34*u - 110. Let s be p(-29). Solve 89*v + s = 96*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*t - 21 = 5*p, 0 = -4*t + 2*p + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-15))\/(811\/44605)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 + 26*a - 11. Give j(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (429\/(-52))\/(100\/120))*-82?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18396 and 3192.\nAnswer: 699048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 20*w + 4. Let v be z(20). Suppose 2*q + 1686 = 4*o, v*o + 0*q = -2*q + 1706. What are the prime factors of o?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/((-22)\/275)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-6\/5)*p)\/p)\/(p\/(p*p*p**(1\/4)\/p*p)))\/((p\/(p*p*p**3*p))\/(((p\/(p\/(p\/(p*p**0))))\/p)\/p)))\/(p**(4\/7)\/(p**4\/p))**(1\/2) assuming p is positive.\nAnswer: p**(597\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, -21, -4\/17, 4, 0.5, 12\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -29 + 15 + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170\/7 + -57\/2. What is the common denominator of r and (-58)\/(-2 - 28\/6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 38 = 3*t, -o + 2*o - 72 = -5*t. Suppose t + 46 = 2*x. Suppose 2*q - x = 2. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -3 - (-24322807 + 3). Suppose -2*p + 7533938 = 33779542. Let s = p + o. Round s to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6572\/636 - (8 - (1 - 2))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -132*b. Let a(n) = 4655*n - 9315*n + n**2 + 4660*n. What is z(a(h))?\nAnswer: -132*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 - 22*w**2 - 27*w - 79. Determine d(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((3 - -1) + -11)\/(-1). Let q = f + -6. Sort -4, 3, q in decreasing order.\nAnswer: 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/385848 and 7\/576?\nAnswer: 3086784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1045*n + 510*n + 27 + 519*n. Does 13 divide o(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8548590 divided by -2\nAnswer: -4274295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 865, 3, 2\/15, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 12 + 4)*(-n + n + n) + n + 4*n + 0*n)*(-2 + 3 - 3).\nAnswer: -34*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/15)\/(7\/14). Let n = 0.4 + -0.3. Put -3, y, n in decreasing order.\nAnswer: n, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, m: 7}. Give prob of sequence mm.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 22 = -3*n, -7 + 17 = -p + 5*n. What is the closest to 1 in -3, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 - 16*v**4 - 2*v**4 + (-2*v + v**3 + 2*v)*(2*v - 2*v + v) - 7*v**4 + 17*v**3 - 17*v**3.\nAnswer: -23*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4014116.\nAnswer: 2, 103, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**5\/2 - 47*o**4\/2 - 311*o**3\/2 + 47*o**2\/2 + 156*o = 0.\nAnswer: -39, -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -1.4. Let c = 0.8 - y. What is the closest to -0.2 in 1, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -457 - 464*v**2 - 453 + 909 + 2167*v**2 in the form r*v**2 + w*v + p and give r.\nAnswer: 1703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Suppose -v - v + 8 = b. Suppose 0 = -h + 4*w + 10, 0*w = -5*h - 5*w + 100. What is the least common multiple of v and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*1*-4*6)\/((sqrt(132) + sqrt(132)*-1*3)\/sqrt(12)).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*a + 0)*(-1 + 2*a + 1) + 2*a**2 - 2*a**2 + 2*a**2 + 4*a**2 - 30 + 31 - 3156*a + 1674*a to b*a**2 + g*a + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*f + 23 = 1, -2*f - 5 = -5*o. Let c be 59 + o\/(-1) + 4. Calculate the remainder when 59 is divided by (c\/(-16))\/((-2)\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.7 - -8. Let r = z + 0. Let k = 0.0532 - -0.4468. Which is the second biggest value? (a) r (b) -9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1236*v**3 - 616*v**3 - 616*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 999 - 740.5. Let y = j - 258. Sort -5, y, 2, 2\/19 in decreasing order.\nAnswer: 2, y, 2\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44*a*f - 25*a - 8*f**2 - 39 wrt f?\nAnswer: -44*a - 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, n: 7, e: 4}. What is prob of picking 3 n?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1675\/8 + -222. Find the common denominator of c and (-2)\/7 + (-2564)\/336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v. Let h(q) = -q. Let x(n) = -44*n - 226. Let f be x(-5). What is f*r(s) - 42*h(s)?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(-46)*j**(-2\/15)*j*j**(5\/2)*j assuming j is positive.\nAnswer: j**(1051\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 56 = 4*y + y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**2\/5 + 228*a\/5 + 224\/5 = 0 for a.\nAnswer: -56, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42\/55 - 3\/220. Let q = -8 - -5. Let o = q + -1. What is the closest to o in 1\/3, 2\/7, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z - 13. Let c(n) = n. Calculate b(f) + 5*c(f).\nAnswer: -2*f - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/8 + (-165)\/10. Suppose 4*i = 9 + 51. Suppose i = -0*r - r. Are s and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -10.3. Suppose 2*s + 11 = -4*b + 5*b, 2*s - 2*b + 16 = 0. What is the nearest to -1 in -2, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -758*m**2 - 1 + 4047*m**2 - 647*m**2 + 1 to c*m + j + u*m**2 and give u.\nAnswer: 2642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w = -23*w + 540. Let f = 65\/59 + 3421\/590. Calculate the common denominator of 375\/w*(1 + 1) and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o + 16. What is the common denominator of -91\/18 and 1666\/(-36) - o\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12315 - -12358. Let b = -265 - -436. Calculate the remainder when b is divided by g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20\/181 + -2224\/13575. Let c be (-13113)\/120*1\/45. Let v = t - c. Calculate the common denominator of 137\/6 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 679*i + 653*i - 4*i**2 - 1331*i + 5*i**2.\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/14 - (2 + -1))*-7. Solve p*d - 3*d - 1 = c, 5*d + 25 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 948 = -443. Let g = 230 - z. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47 + -21074?\nAnswer: -21143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 - 49 = 4*n - u, -13*u - 63*u - 113 = -3*n - 27 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/6*6\/(-10))\/((-136)\/(-544))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18 + 100\/(-24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(19) + 0).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1060456128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -516 + 518. Suppose -3038 = -5*p + 2*j, 0 = -k*p - 12*j + 11*j + 1217. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24635, 24645, 24677, 24731?\n\"Answer: 11*g**2 - 23*g + 24647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 6:25 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)*v*v)**(-35)\/(v\/(v*(v*v**(2\/7)*v*v)\/v*v)*v*v**(-6)) assuming v is positive.\nAnswer: v**(-4378\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 1421.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187590 and 120?\nAnswer: 750360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*h + 5*u + 32, 5*h = -4*u - 35. Let m = 9 + h. Calculate the lowest common multiple of 52\/m + (-24)\/36 and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53014 - 53311 = 9*v. Sort v, -5, 4, -2.\nAnswer: v, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12735, 25402, 38047, 50664, 63247, 75790?\nAnswer: 88287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3861 times -15\nAnswer: 57915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x**2 + 14*x + 9. Let g be z(2). Let p(o) = -3*o - 7. Let v(s) = -4*s - 8. What is g*p(n) - 4*v(n)?\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-39))\/((-32)\/(-96))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 273 + -210. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/5940 and 67\/594.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 1. Let y be g(4). Let w(c) = 12*c - 94. Let r be w(8). What is the units digit of y\/((r - 4)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 + 133. Let b(n) = 5*n**2 - 2*n**3 - x*n**3 + 15*n**3. Let s be 2\/5 - (-171)\/(-15). Let z(v) = 2*v**3 + 9*v**2. Give s*b(d) + 6*z(d).\nAnswer: d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(9\/(-2))*3. Let q(r) = -2*r**3 - 6*r**2 + 2*r + 5. Let z(j) = j**3 + 3*j**2 - j - 3. Let v(i) = 3*q(i) + 5*z(i). What is v(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 7:09 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*f - 6*f - 637440. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/10864 and 95\/5432.\nAnswer: 10864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200))**2 - sqrt(8)\/sqrt(324).\nAnswer: -sqrt(2)\/9 + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10000111101 (base 2) to base 10\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 17 + 9 + 6*w - 39.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7500530 less than 7500526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.8 - 0.8. Let j = -8.6 + r. Sort j, 5, -2 in decreasing order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + 68 + 3 + 50 + 4 + 4?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 98, 344, 736, 1274, 1958, 2788, 3764?\n\"Answer: 73*b**2 + 27*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*p - 5*d + 2*d = 147, 3*p + 4*d = 41 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 98. Let m(f) = -985*f**2 + 982*f**2 + 12*f - 12*f. What is d(m(o))?\nAnswer: 18*o**4 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33411151?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2c5017 (base 16) to base 13\nAnswer: -7a8ac4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 16*o = 108. Let i be (15\/(-2))\/(-5) - o\/(-18). Solve 3*l = 15, -6 - i = -3*q - l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 - 7 - (-7)\/(-2). Do s and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071020453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*d - 57 + 33*d**2 - 37*d**2 + 56 as g*d + t + m*d**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -10\/39125689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -6292\/24147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013696 rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788013.\nAnswer: 3, 87557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(90)\/sqrt(5) + sqrt(12)\/(sqrt(24)\/sqrt(4)) + -1 + sqrt(32) + -4)**2 + -4.\nAnswer: -32*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100 - 35780?\nAnswer: -35880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**5\/5 + 71743*p**4\/5 - 1292805034*p**3\/5 + 216415476798*p**2\/5 + 87341931135*p + 219001302099\/5 = 0.\nAnswer: -1, 171, 35787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81248167*g**2 - 5573619.\nAnswer: -162496334*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*y - 73*y + 31*y + (-3 - 1 + 7)*(-10*y + 3*y - 4*y).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 - (-6)\/21. Let b be (-70)\/(-210)*6\/(-4). What is the nearest to l in 5, b, -3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35430208 and 113280?\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.135 to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**4 - 3*v**4 + 2*v**4)*(17 + 29 - 6) - 6*v**2 + 6*v**2 + 2*v**4 as t*v**2 + n + x*v**4 + w*v**3 + f*v and give x.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*j + 4*j - 6*j)*(-j + j + j**2) + j**3 - j**2 + j**2)*(-322 + 89 + 15) as x*j + u*j**2 + a*j**3 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(11)*-5 + (-4 + sqrt(55)\/sqrt(5) + sqrt(11))**2.\nAnswer: -6*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35002 less than -1168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5071, 10732, 17005, 23920, 31507, 39796, 48817?\nAnswer: 58600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22743585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106824.3 years to decades.\nAnswer: 10682.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/(-4)*(-2584)\/(-34238)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 l when four letters picked without replacement from bbbylebbblbbell.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/48*(-6)\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238*g**2 - 22*g**2 + 154*g**2 + 989*g**2 to x*g + o + i*g**2 and give i.\nAnswer: 1359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/((-5)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 501 + 1650. Does 32 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -761843, -1523743, -2285697, -3047705, -3809767, -4571883, -5334053?\n\"Answer: -27*g**2 - 761819*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-18) + (-8870328)\/648. Let p = 24416 + b. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1341, 2685, 4029, 5373, 6717?\n\"Answer: 1344*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 34. Let c(u) = u**3 - 19*u**2 - u + 15. Let d be c(v). Is (2\/d)\/((-2)\/764) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 1. Let j(h) = h. Let y(p) = -d(p) + j(p). Let v be y(2). Suppose -3*g + v*g - 8 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21314893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 18 = -12*a. Suppose -3*y + 10 = -2*y + 2*p, -5*y + 22 = 3*p. Let h be ((y - 3) + 1)\/2. Solve h = 4*k + a + 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -2075038.\nAnswer: -3\/1037519","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -742, -594, -328, 32, 462, 938, 1436, 1932?\n\"Answer: -4*d**3 + 83*d**2 - 73*d - 748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 3*o**2 + o + 2. Let b be s(-2). Suppose y = -2*n + 299, -b*y - 2 + 6 = 0. List the prime factors of n.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/9)*f\/(f*f**(1\/7)*f) assuming f is positive.\nAnswer: f**(-86\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/((-15)\/95))\/((-4)\/(-56)). Let t = -211 + x. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Suppose u*h - h - 18 = 3*v, 0 = -2*h - 3*v. Suppose -24 = -h*j + 3*j. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 1 + 0)**2 - (sqrt(1053) + 1)**2.\nAnswer: -1040 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 13 + 21 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2580, -1046, 3110, 11196, 24520, 44390?\nAnswer: 72114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -4, -1908, -5, -4\/11, 0 in increasing order.\nAnswer: -1908, -5, -4, -4\/11, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - 1 - 4 + 0 + 2*f + 0*f - 3*f + (-1 - 1 + 1)*(-53*f + 46*f - 27*f).\nAnswer: 31*f - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4 + 30702258*n**3 + 235657069467849*n**2 - 1413943245768168*n + 2120915283132816 = 0.\nAnswer: -15351132, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.308107ml to litres.\nAnswer: 0.004308107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7896 (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -63530 (b) -4\/7 (c) -1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0467 + -5?\nAnswer: -5.0467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33945 and 9568305?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1155*r - 20553 - 8322 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 132. Let f be w(-30). Let a be 161 + 2\/(3 - 1). What is the highest common factor of a and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 4*n + 1 + 7, -5*n + 4*r - 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*h**2 - 3*h - 3*h**2 - 1 + 18*h**2 in the form f*h + u*h**2 + o and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 24\/5*h - 6\/5 + 6*h**2 = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 0.3 (c) 2 (d) -19\/11 (e) 2.109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -76?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 7. Let r(j) = -1 + j + 8 + 9 - 9. Let i(x) = -6*r(x) - 7*t(x). Let h(p) = -1. Let a(v) = -14*h(v) - 2*i(v). Let k(c) = 15*c. What is k(a(o))?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 + -42. What is the greatest common divisor of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 65. Let u**4 + 3*u**4 + c*u**2 - 199*u**3 + 207*u**3 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/740 and 143\/(-13)*-1 - 48198\/4440.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8193 - 8098.34. Let q = x - 94. Let w = q + -0.93. What is w rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194 + -957\/5. What is the common denominator of m and -95\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98570289*c**4 - 2*c**3 - 6228*c**2 + c + 89 wrt c?\nAnswer: -2365686936*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991722933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**4 + i**2 - i - 1. Let q(d) = -4*d**4 - 116*d**3 + 208*d**2 - 60*d - 20. Let c(k) = q(k) - 20*x(k). Factor c(g).\nAnswer: 4*g*(g - 5)*(g - 2)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3064662 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v = 0. Let p(q) = -q**3 - q**2 + 2. Let y be p(v). What is the third derivative of 3*a**6 - 20*a**y + 2*a**6 + 19*a**2 wrt a?\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 490147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p**3 - p**2 + 2*p - 1. Give s(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - h = 32, 1045307*r - 1045299*r + 80 = -3*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5005*c - 2199*c - 83591 = 107217 for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3 + 411*b**2 - 13440*b - 44100 = 0. What is b?\nAnswer: -3, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 968600 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 7*x + 7. Let a be p(-8). Let h = 42 - 14. Let b = h - 223\/8. What is the third biggest value in b, -4, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-86)\/(-24)*3 + 3\/(-4). Solve -h + v = -6*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(3\/((9*2\/(-3))\/(-4))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w + 5. Determine d(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10132 is divided by 2891.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + 0 + -6 + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22620 and 2523812?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -7082859 and -7082860 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. What is the closest to a in 5, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88808 - -141192. Round g to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 4*q - 2*c - 20, -5*q + 23 = 3*c. Let a = 16 + -10. Let r = a + -5.9. Is q <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t - 7*t. Suppose t = -5*b - b. Let s = 9 + -11. Which is bigger: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1 (c) 2\/7 (d) 1\/3 (e) -6471\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*a = -2*g - 748, -g = 3*a - 736. Suppose g = 5*d - 913. Is d*3*1\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2072 and 464582804.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*(sqrt(726) + sqrt(726)*-1))\/(-6*(sqrt(450) + sqrt(50))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.929 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u**2 + 3*u**2 + 0*u**2)*(-2 + 0 + 0) + 29*u**2 - 31*u**2 - 32*u**2)*(4*u - u - 5*u).\nAnswer: 72*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.247747 micrometers in centimeters?\nAnswer: 0.0001247747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2126 and 575083.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 270 = 3*v, 3*f + 0*v - 2*v = 162. Let h be 714\/24 + 2\/8. Let t = f - h. Calculate the highest common factor of t and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Let h be 0 - (-3)\/((-45)\/177). Let z = -152\/15 - h. Which is the nearest to -1\/3? (a) r (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -13*q**2 + 1664*q + 49. Give u(127).\nAnswer: 1700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52\/41 - -353\/246. Suppose -3*v - 5 = 2*p, -3*v - 3*p = -6*v. Let u be (v + -4)*(-4)\/(-30). What is the biggest value in -1, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 375*g**3 - 1440*g**2 - 241920*g.\nAnswer: -5*g*(g - 48)**2*(g + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -15 + 5 + 9 - 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*d**3 + 73*d**3 - 116*d**3 + 33*d to the form u + r*d**2 + l*d + a*d**3 and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 5, -24, -9, 16 in decreasing order.\nAnswer: 16, 5, 4, -6, -9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -68, -1, -65, 4, 46 in descending order.\nAnswer: 46, 4, -1, -3, -65, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + sqrt(19) + sqrt(190)\/(sqrt(30)\/sqrt(3)) - (1 + -1 + sqrt(19) + -2))**2.\nAnswer: -4*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -363 - -528. Let m = 168 - n. Sort -1, 72, m, 5 in increasing order.\nAnswer: -1, m, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boeb when four letters picked without replacement from {b: 11, e: 2, o: 6}.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200211001100112 + -211?\nAnswer: -200211001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/7*(4\/27)\/4*-21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4489 = 5*y + 618, -4*r - 778 = -y. Suppose 6*s - 12*s = -y. Which is greater: s or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.169 + 0.083. What is d rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3*k + 11 = 2*o, 13*o - 717106 = k - 717048 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 66, -3\/16, 0, -12.\nAnswer: -12, -3\/16, 0, 0.1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 330\/4079 or 0?\nAnswer: 330\/4079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1422414\/(-142))\/21*(-3)\/((-54)\/(-2))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**3\/3 + 18*x. Let s be 3 + (-1 - -1 - -1). Let r(o) = 2*o + s*o - 4*o. Give a(r(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 85*p**3\/6 + 229*p**2\/2 - 31*p. Differentiate m(w) wrt w.\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102046796*a**3 - 47066013*a wrt a?\nAnswer: 612280776*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(58\/(-87))*2\/11.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -433 - -448. Solve q + p = 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 338135943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvwvvvvovv. Give prob of sequence vvw.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 56*x + 51*x)*(x**2 + 0*x**2 + 0*x**2 + x).\nAnswer: -5*x**3 - 6*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88289052?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2. Let n(i) = -4*i**2 - 24*i + 24*i. What is l(n(k))?\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789290 + 329179 = 7949*q + 10099*q + 622769 for q.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -721, -726, -733, -742, -753, -766, -781?\n\"Answer: -s**2 - 2*s - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*128016\/(-5715)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (12 + -25 - (-10 - (0 - 3))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + p + 0*p + 3)*(-8*p**3 + 5*p**3 - 4*p**3) as f*p + m*p**3 + g + l*p**4 + v*p**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + s. Suppose -y + 2*g = 7, g - 8 = -0*y + 5*y. Let u(i) = 7*i**3 - 4*i**2 + 7*i. Give y*u(n) + 6*v(n).\nAnswer: -n**3 + 4*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 3*k - 25, 243*t + 248*t - 4*k - 36 = 479*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26341.7 - -7759.\nAnswer: -18582.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + n + 2*n + (-17*n - 2*n - 20*n)*(-5 + 4 - 1) - n - 4*n + 4*n + (-2 - 1 + 2)*(-5*n - 2*n - 2*n).\nAnswer: 89*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/2 + 1285*j + 2571\/2 = 0 for j.\nAnswer: -1, 2571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from kkkkkqkkktkkkk.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/(-5) + 4 + 1. Which is the second biggest value? (a) o (b) 2\/13 (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -251? (a) 3 (b) 1\/30 (c) 2 (d) -4 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75001?\nAnswer: 179, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 143380759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 4*t - 1. Let a be m(4). Let r be (-414)\/(-6) - 4*a. Find the common denominator of 31\/8 and r\/(-2)*(-2)\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10454804*g + 5227400*g + 5227400*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**5 - 672*p**4 + 15*p**3 + 3360*p**2 - 12*p - 2688 = 0.\nAnswer: -224, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46132, -92178, -138224, -184270?\nAnswer: -230316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/(296\/36 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -7*r - 14. Let s = 18 - r. Suppose -33 = -2*v + 5*h, v + 0*h + 11 = -3*h. Are s and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7996 + -0.3996. What is the third biggest value in -3, -1005, n?\nAnswer: -1005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 175\/6 + -29. Let s = 13.1 + -13. Which is the closest to s? (a) h (b) -0.1 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-four fifths of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(125) + (sqrt(125) - (sqrt(125) + 1 + -2) - sqrt(125))) + -4)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5956, -24125, -54416, -96835, -151388, -218081, -296920, -387911?\nAnswer: -491060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 4*n + 4. Let b be x(2). Let a be 3\/b + 61686\/368. Calculate the greatest common divisor of a and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3520, 3519, 3518, 3517, 3516?\nAnswer: 3515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 673 - 297. List the prime factors of r.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -15*w**4 - 92*w**3 - 147*w**2 - 78*w - 8 = 0.\nAnswer: -4, -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48028468649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 14*r**5 - 1520*r**4 + 5174*r**3\/7 + 94896*r**2\/7 - 54504*r\/7 + 7776\/7 = 0.\nAnswer: -3, 2\/7, 3, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6787 + -5.\nAnswer: 6782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/2)\/(2\/3). Suppose 3*p + 36 = 2*y + p, -4*p = 2*y - u. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 60*g - 115. What are the prime factors of p(3)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**4\/8 - 74*j**2. Let m(v) = 20*v + 2. Calculate x(m(g)).\nAnswer: 60*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z + 77. Let x be h(-9). Put 76, 5, x in ascending order.\nAnswer: x, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30 and -78086.1572?\nAnswer: 78116.1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1309369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 248360808\/17 or 14609459?\nAnswer: 14609459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -1\/6 (c) 2 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12*6*(-2)\/(-48). Let z be k*8\/(-3)*(-3)\/12. Solve z*v = 4*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3675 + -3681. Which is the nearest to 3\/4? (a) -2 (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 665, 757, 1023, 1553, 2437, 3765?\nAnswer: 5627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1529154 or 1529155?\nAnswer: 1529155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-60))\/((-1)\/(-6) - 0). Let u = 0.2 + 0.3. Which is the biggest value? (a) p (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777110241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8615468.\nAnswer: 2, 53, 40639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (4 + 28 - 22)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31586?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**11)\/(c*c**(-1\/8)*c) assuming c is positive.\nAnswer: c**(-95\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-90)\/12 + 2\/(-4). Let z(w) = -w - 1. Calculate the remainder when 27 is divided by z(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 288*u - 14. Let o be d(27). Suppose 0 = 3*x + 2*q - 75463, -x + 3*q + 17374 = -o. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/((-1)\/(-4)). Suppose m*b + b = -n + 19, 0 = 2*b + 4*n - 6. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -0.06007, 1\/28, 1 in descending order.\nAnswer: 1, 1\/28, -0.06007, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1469*u**2 - 13*u - 6*u + 26*u - 7*u.\nAnswer: -1469*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4014 + -2851. What are the prime factors of w?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -9. Let z = -11 + n. Let w be (-17)\/(-5) + 6\/z. Solve 5 + w = 2*g + 3*f, -3*g + 2*f + 7 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -4*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1128 and 125\/2256?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109332 by -27333.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 144331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.048, -0.89, -2\/11, -15, 1?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1066*g - 996*g + 4 - 1 to s*g + r and give s.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1117356025.99999746 + -1117356059. Let h = p + 33. Round h to seven dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - i + 91 = 81, 4*i = -2*u - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:09 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_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: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 2*d = -19*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 11582455?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 90 = -3*b, 2*b - 5*v = 95 - 20. Calculate the remainder when 74 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v - 3*v)*(50*v**2 + 13*v**2 - 11*v**2).\nAnswer: -52*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvnu when four letters picked without replacement from vtttnnvvvntuv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40506 and 5137812?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 901, 926, 967, 1024?\n\"Answer: 8*c**2 + c + 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -55*h + 1. Calculate f(1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 36 - 27) + 11 - 26.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-12))\/(12\/90). Let m(q) = q**3 + a + 4*q**2 - 7*q + 3*q**2 + 4 + 0*q**2. Suppose 3*h - 5*u + 29 = 0, 2*u = -h - 3*u - 3. Determine m(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/9 - (-82)\/36)*64\/1360.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 16 - 16 + 2*h**2. Let c(b) be the second derivative of -b**7\/315 - 2*b**4\/3 - 4*b. Let x(z) be the third derivative of c(z). Determine x(l(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(32)\/sqrt(2))\/sqrt(8) + 4)**2 + 1) + (2 + (sqrt(1458) - (sqrt(1458) + -1))*2)**2.\nAnswer: 24*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = -29744 + 1999782. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 112765571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 7*w - 8. Suppose -3 = v + 3. What is the tens digit of j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o. Suppose 5*i - 4*h - 34 = 0, -4*i + 3*h = h - 26. Suppose i*k + 6 = 18. Let u(l) = -2 + k*l - 3 + 5. Determine u(v(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 4. Let d be b\/10 - 16499999\/5. What is d rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 17518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 - 130 = -2*u. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 12*b - 5*m = 714, -3*b + 2074 = 2*m. Suppose b = 4*i + 438. Calculate the remainder when 119 is divided by i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from ubyjjytf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/(14\/(-140)). Let l be (-176)\/(-12) + 20\/g. Factor -l*p**3 - 17*p**3 - 7*p + 9*p**2 + p**4 + 2 - 15*p**3 + 43*p**3.\nAnswer: (p - 2)*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -23*o**2 - 2. Let k(d) = 10*d - 15*d + 7*d. Determine k(l(w)).\nAnswer: -46*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -885368, -1770748, -2656128, -3541508?\n\"Answer: -885380*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 39453*c + 39463. Give l(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 0.3, -0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 1108796.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1178900 is divided by 589447?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(28)\/sqrt(4))**2 + (sqrt(7) + (sqrt(7) + sqrt(63))*1 - sqrt(7)) - (-2 + (sqrt(168)\/sqrt(3))\/sqrt(8))**2.\nAnswer: -9 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -323*m + 5830. Let d be v(18). Calculate the highest common divisor of d and 704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 8*z - y - 5 = 0, 4*z - 9*y - 17 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75047257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(-2\/5)\/g)\/g))**(3\/5)*(g\/(g**(-3)*g))\/g*g**6)**(2\/37) assuming g is positive.\nAnswer: g**(502\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 3)*(-1 - 3 - 6)*((-2*m + 3*m + m)*(0 + 3 + 1) + 1 - 1 + 2*m)*(0 + 0 - 1) to the form u*m + f and give u.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.684 - 1813472957.\nAnswer: -1813472958.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10*1)\/((-11)\/(-4))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1894148 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4768 plus -95222?\nAnswer: -90454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**3*z**3 - 5275281*w**3*z**2 + 2*w**2*z**3 + 2*w**2*z**2 - 1686*w**2*z + w*z**3 + 209*z**3 + 6 wrt w?\nAnswer: -18*z**3 - 31651686*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + (4 - (4 + 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 602294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.041, 3, 0.1?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {r: 1, i: 4, j: 3, v: 1, a: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -570*g**3 + 11*g**2 + 59*g + 385. Is d(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from gmmg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.06284 nanometers in micrometers?\nAnswer: 0.03906284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*n - 14 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-16)*k))**(-33\/2)*(k*k*(((k*k**(-32))\/k)\/k)\/k*k)\/k**(-2) assuming k is positive.\nAnswer: k**(-293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*o = 66*o + 5*t - 94815, 5*o - 94847 = 3*t. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 302594.3 litres?\nAnswer: 302594300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + a - a)*(3 - 4 - 6) in the form o + y*a and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8) + 2\/(-8). Suppose x + 1 - 6 = r. Solve 4*l - x = 5*z - 1, 2*l = -z + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 16*a**2 + 30*a + 7. Let c be z(-2). Solve 0 = -2*g - c*j - 8, -4*g - 7*j + 4*j = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 0*h + 15. Let n(l) = -10*l**2 - 12*l**2 - 13*l**2 + 3*l**3 - 18*l**2 + 50*l**2 - 95*l + 92*l - 2. What is n(h)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1730, 10, -3 in descending order.\nAnswer: 1730, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 755*a = 752*a - 51, 37 = -3*u - 2*a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 - 2*a**3 + 3*a**4 + (a**2 + 0*a**2 - 3*a**2)*(2*a**2 - 4*a**2 + a**2) + (0*a**2 - a**4 + 0*a**2)*(14 + 14 - 11) + 3*a**4 - 4*a**4 + 3*a**4.\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**4\/12 + k**3\/2 - 3*k**2\/2 + k. Let m(d) = -5*d**2 - 16*d + 16. Calculate -2*m(x) - 11*v(x).\nAnswer: -x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/44)\/((-492)\/(-1312))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 78*h + 5. Let i(q) = -1209*q - 78. Suppose -3*y + 15 = -8*y, 0 = -2*p - 2*y + 150. Determine p*o(g) + 5*i(g).\nAnswer: 39*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 125532?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4025300 + 21*z + 4025300.\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 769*a + 780*a - 1548*a. Let h(l) = 14*l**2 + 16. Calculate h(t(w)).\nAnswer: 14*w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x - 3. Let a be l(2). Let n(c) = c**2 - 13*c + 75. Let v be n(0). Calculate the greatest common factor of a and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11325*c - 3726*c - 3725*c - 3886*c + 6 - 6.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12654423 divided by -9\nAnswer: -1406047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 49*r**2 + 11*r - 408. What is the units digit of u(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 409 = -19. Let u = -388\/5 + k. Suppose -u*o + 2\/5*o**2 + 0 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156936.402 hours in weeks?\nAnswer: 934.14525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 - -56. Let k be (1\/(-5)*24)\/(i\/20). Find the third derivative of -360*y**2 + 1 - k*y**5 + 377*y**2 + 1 wrt y.\nAnswer: -720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 851573877?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 361, 532, 701?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 69 = 10*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47876 divided by 1.\nAnswer: -47876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13661491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -12) + -2 + -2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 15\/14?\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2517, -2951, -3675, -4689, -5993, -7587?\n\"Answer: -145*b**2 + b - 2373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-4)\/28) + -5*1. Solve q - 6*q - o + 16 = 0, -h*q + 1 = -5*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d - 9. Let g be w(4). Solve 5*j - 10 = g*c - 0*c, -10 = c - 5*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -6. Let n be h\/(-8) + (-11)\/(-4). Let r be 2\/(-6) + -1 + 1. Which is the third biggest value? (a) 0.2 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49306 and 278214?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and -5.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - -18. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (sqrt(17) - (-1 + sqrt(17))) + 4 + -2*-2*sqrt(17) + 0).\nAnswer: -24*sqrt(17) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -2 + 3\/(12\/184). Let r be 2 + (i\/(-8))\/(4\/6). What are the prime factors of (r\/(-3) - 1) + (-12816)\/(-108)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354799 minus -2?\nAnswer: -354797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 5*g. Let n be 0 + 1 - 4*(-12)\/(-8). What is h(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-2))\/((-1)\/(-6)). What is the greatest common divisor of j and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/21 + 2403820\/(-666). Let v = r - -3608. Is v equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3973 times 6874\nAnswer: 27310402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(242) + -1)**2 - (-2 + -2*(sqrt(2) + 3)).\nAnswer: -20*sqrt(2) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*x + 17*x + 35*x**3 - 8*x + 19*x**3 + 67 wrt x.\nAnswer: 162*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2324*i**2 + 2324*i**2 - 2095*i**3 - 1784*i**3.\nAnswer: -3879*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(80) - sqrt(180)) + -1 + sqrt(180) + sqrt(45)\/(sqrt(9)*-2))**2.\nAnswer: 33*sqrt(5) + 5449\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-285))\/(3\/2)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 4 + 13\/2*n**2 - 1\/4*n**4 + 1\/15*n**6 + 0*n**3 + 5\/4*n**5 + 17*n. What is the third derivative of o(c) wrt c?\nAnswer: 48*c + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 - 1)*(-15*u + 28*u + 7*u)*(0 + 1 + 1)*(7 - 7 + 3*u**3).\nAnswer: -480*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 793 + -364. Does 39 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 4 in ascending order.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, c: 3, d: 3}. What is prob of picking 1 c, 1 d, and 2 k?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/245*(-5 - 0)*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1474661 and 489.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 4865a?\nAnswer: 48659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(4\/21)\/(g**1\/(g*g**8*g))*(g**(-6)\/((g\/(g*g*g\/(g**(-1\/8)*g)))\/g))**(2\/47) assuming g is positive.\nAnswer: g**(35633\/3948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 10*c - 1. Give g(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*q + 38*q + 2 + 33*q - 15*q**3 - 98*q as h*q + f + a*q**2 + i*q**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*d + 16 - 0, 0 = 2*d - s - 26. Let h = 27 - 21. Let m(b) = b**2 - 4*b + 12. Let r be m(h). What is the highest common divisor of r and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 19 = 2*y, 3*d = 1 + 8. Let s be ((-18)\/(-3) + -5)*1*2. Let b be (-1 + 1)*-1*1. Solve -y*m + s + 0 = b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*j*o**3 - 36*j*o**2 - 15*o**3 - 2*o**2 wrt j?\nAnswer: -9*o**3 - 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 127\/13, -873, 0, 0.4?\nAnswer: 127\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1546, -5912, -13254, -23626, -37082, -53676?\nAnswer: -73462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 50 = -2. Let l be (-6)\/((-3)\/(-24)*-6). Suppose l*n + 15 = 11*n. Solve -r + n - 1 = j, o*r - 4*j + 16 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 81*v**3 - 53*v**2 + 34*v + 378. Let d be u(-71). What is d rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 3*(sqrt(133) - (-2*sqrt(133) + sqrt(133))))\/sqrt(7).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 20 = 4*a, -2*u = -a. Let r = u + 10. What is the greatest common divisor of r and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 2 + 1 + 3)*(142*b + 50*b + 43*b)*(1 - 4 - 21) in the form v + s*b**2 + y*b and give s.\nAnswer: -11280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, b: 1, j: 1, t: 2, i: 9}. Give prob of sequence bii.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 1:50 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108.63 - 0.5394.\nAnswer: -109.1694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1884?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*u = -219*u - 26 + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + -4 - (3422 + -3370)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z = -60. Let v be 2*6\/4*(z + -40). Let o = 354 + v. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 21 - 45. Let m = 73547\/14 + -5247. Calculate the common denominator of u\/(-5)*6\/(-8) and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*f*s - 17*c**3*f - 607*c**3*s**2 - c**2*f*s**2 + 18*c*s + 2*f*s**2 wrt s.\nAnswer: -1214*c**3 - 2*c**2*f + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 744 = -b. Let f = b - 119. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + d)*(-9 + 0 + 40)*(d**2 + d**2 + 10*d**2) to the form o*d + w*d**2 + a + y*d**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14810 is divided by 2953.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 324935 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -669.3 + 622.3. What is the closest to t in 87, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*t - 6, 3 = -2*t - 5*d - 13. Let n(r) = -3 + 0*r - r - 3*r + r**t + 1. Let k = 8 + -3. Give n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 1217*m**3 + 222*m**3 + 16.\nAnswer: -995*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -48446.4 rounded to the nearest one thousand?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 5*c**2 - 37*c + 441. Calculate j(13).\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 7*q**2 - q + 7. Suppose -j + 2*k = 15, 0 = -4*j + 5*k - 4 - 44. Calculate the remainder when 52 is divided by o(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*(-18)\/(-3). Factor l*h**2 - h**2 - 3*h**2 + h.\nAnswer: -h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/15)\/(((-19)\/(-20))\/(-19)). Which is bigger: -62 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8 - -5.8. Which is the nearest to 2? (a) -3 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/((-189)\/28))\/(2\/12). Suppose w*t + 184 = 10*t. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -301717*m**2 - 60346*m wrt m.\nAnswer: -603434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*n**2 + 244*n**2 - 133*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -301, -286, -271, -256, -241?\n\"Answer: 15*t - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*i**2 + 31\/3*i + 64\/3.\nAnswer: -(i - 64)*(i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684 = -5*r + h, 5*h + 179 = r + 23. Solve 140*j + 4 = r*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-15) - (-8)\/(-5). Let y be ((-20)\/q)\/((-2)\/400). Round y to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 3*g**2 - 6*g - 5. Let m be w(-4). Let i(h) = -1 - 12 - 6*h + 4*h + m*h. Let d(c) = -c**3 + 3*c**2 + 2*c - 2. Let s be d(2). Give i(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -18 + 51*k + 53*k - 111*k. What is the units digit of o(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let w = 1.2 - 2.2. Let q = 0.01 + 1.99. Which is the third smallest value? (a) q (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -887079*q + 2661237. What is r(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a58 (base 11) in base 12?\nAnswer: -b62b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -36. Sort o, 3\/5, -0.2.\nAnswer: o, -0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**7*x*x))**40*x**(-6)*x**15*x assuming x is positive.\nAnswer: x**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 5\/67, 2\/9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -95325 divided by -775\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4631*q + 170 - 14 = -4592*q. Let a be 1 + -2 - (-1)\/1. Solve a = -3*d - h - 15, 3*h + 28 = -q*d - h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 2*h + 6*h - 3*h + 10 - 14. Let g be f(5). Suppose 0 = -r - 3*z + g, 67 = 2*r - 5*z + 15. Solve 5*w + r = b, -2*w - 15 = -2*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**4\/12 + y**2\/2 - y. Let r = 24 - 22. List the prime factors of g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018 minus 43469.8?\nAnswer: -43469.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/4, -3\/4, -0.01, -3 in decreasing order.\nAnswer: 3\/4, -0.01, -3\/4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293 - 291. Let n(v) be the first derivative of 1\/3*v**3 - 7 - v**g + v. Factor n(m).\nAnswer: (m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -125*n**3 + 4*n.\nAnswer: -750*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -975 divided by 325?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 2\/9, -18, 0.4, -1, -0.85 in descending order.\nAnswer: 6\/7, 0.4, 2\/9, -0.85, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(-2 + 0 + 0). Suppose 3*f - 16 = 5*f. Let g = q - f. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1932 and 240396.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -785468, -785478, -785486, -785492, -785496, -785498, -785498?\n\"Answer: o**2 - 13*o - 785456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1049 + -8295\/8. Find the common denominator of t and 1192\/(-252) + (-4)\/(-14).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/11512, -202, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3809.4*-0.4\nAnswer: 1523.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqxq when four letters picked without replacement from qxrqlrxxrurrxxtrr.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 798 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420669?\nAnswer: 3, 43, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 + 0)*(0 - -1). Suppose -5*t + x = -9. Let a(c) = -c**2 + 16*c + 1. Let n be a(16). Sort n, -3, t in ascending order.\nAnswer: -3, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21, 18, 7, -18, -63?\n\"Answer: -d**3 + 2*d**2 - 2*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 - 151 = 30*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0924 - 74825934443.\nAnswer: -74825934443.0924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*u*v**3*w**3 - 15*u*v**3*w**2 + 2*u*v**3*w - u*v**2*w - v**3*w**3 - v**3*w**2 wrt w.\nAnswer: -408*u*v**3 - 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-2)\/(-12)*9\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21312 and 3663.\nAnswer: 234432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28982446 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5 - f - f**2 - 9 - f - 13*f. Let o be w(-14). Suppose 0 = 5*n + 2*z - 24, n - 2*n + 15 = -3*z. Solve o = -5*l + 7*l + n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 346488, 692778, 1039068?\n\"Answer: 346290*r + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(4*t - 11*t + 5*t + 9) to the form a + x*t and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-550)\/1320 - 387\/(-324).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 12:12 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(4) - (sqrt(4) + -4*sqrt(4)) - sqrt(4)) - 1*sqrt(2448).\nAnswer: -35*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 a factor of 18778098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*l - d + 181, 2*d + 133 = -3*l. Let t = 87 + l. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/4)\/((-4)\/(-16)). What is the common denominator of -14\/5 and 530\/315 + (-3)\/k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 48\/5 of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -73*l**3 + l. Let h be p(-1). Suppose 2*v + h = 6*v. Suppose -3*d = -v - 15. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from hahhaqh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 4. Let d be g(-3). Does 4 divide d\/(-2)*-2 + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 2*q**2 - 12*q + 5. Let n be 10 - 11 - (2 - (-3 + 2)). Let o(c) = c**2 + c. Let k(i) = n*o(i) - f(i). What is k(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v**2 - 5*v**2 - 3 - 1 - 9*v. Let h = 12 - 3. Let t be 2\/h - (-65)\/(-9). Let c(x) = -2*x**2 + 5*x + 2. Give t*c(s) - 4*d(s).\nAnswer: -2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 3*z = -6*n - 15, 0 = -3*z - 15 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3366453, 3, -2 in ascending order.\nAnswer: -3366453, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hew when three letters picked without replacement from wgewzhw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -7*z + 10*z. Let v(i) = 2*i - 5. Let f be v(z). Let u be f - (138003\/1)\/3. What is u rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -197*d**4\/12 - 46*d**3\/3 - 267*d**2. What is the first derivative of c(z) wrt z?\nAnswer: -394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2171.442g?\nAnswer: 0.002171442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 0*w**5 + 0*w + 57*w**2 + 0 + w**3 - 103\/120*w**6 + 0*w**4. Find the first derivative of z(d) wrt d.\nAnswer: -309*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p*p**(-23)))\/p)\/(p*p**(8\/5)) assuming p is positive.\nAnswer: p**(102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3308 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**4 + 1664*b**3 - 10092*b**2 + 15192*b = 0.\nAnswer: -422, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/15 - 6074*x\/15 - 183668.\nAnswer: -2*(x + 555)*(x + 2482)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3855 + 352 = 219*j - 1505 - 201 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -81975, -79925, -77877, -75831, -73787, -71745, -69705?\n\"Answer: -c**2 + 2053*c - 84027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*a**3 + 17*a - 17*a.\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (3 - 1) + 95 + -86.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 62*m + 172. What is z(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-924))\/((-2)\/(-8))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35619 and 372?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 42 = -5*w - 17, 5 = w + 3*k. Suppose 5*f - 11 = -2*y - 6, 0 = -5*y - 5*f + 35. Calculate the smallest common multiple of w and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 = -0*f. Suppose -4*r + 4*o - 16 = 0, 3*r - 4*o + 21 = 8. Sort f, -2, -15, r.\nAnswer: -15, f, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -25 + 433. Let a = x - 198. What is the least common multiple of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/72*4)\/(8\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ede when three letters picked without replacement from {e: 3, d: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3 + 19488*l**2 + 38985*l + 19494 = 0. What is l?\nAnswer: -1, 6498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75874, 152099, 228334, 304585, 380858, 457159, 533494?\nAnswer: 609869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5572 (base 15) to base 12.\nAnswer: a58b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/18627 and 83\/74508?\nAnswer: 74508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 + p**2 + p + 1. Let z be c(-1). Let j = z - -1. Suppose -5*u - j = -6*u. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21519964?\nAnswer: 2, 683, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02804819885 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 437\/175 + 34\/25. Calculate the common denominator of 99\/8 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1230517, 1230519, 1230523, 1230529, 1230537, 1230547?\nAnswer: 1230559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1424, -2861, -4298, -5735, -7172?\n\"Answer: -1437*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437631 is divided by 109398.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = 5*o - 0, 4*p = -4*o + 24. Let c be -2 + p + 57700\/((-25)\/(-5)). Suppose 2*q = -0*q + 4*a + 4614, -c = -5*q + 2*a. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1227 - 1153. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1157551 and 73097.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((-8 - -7) + -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 13 + -24 + 10 - 4) + 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(-26)\/(-1001)*-7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12c (base 14) to base 5\nAnswer: -1421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/245 - 18612555\/30174200?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16527 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-18) - (-90)\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0962568 - -27.3966018. Let s = -27.3 + k. Round s to five decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 + 0*n**3 + 2*n**3 + (-3*n + 0*n + 4*n)*(3 - n**2 - 3) + 3*n**3 + 2*n - 2*n + (n + 0*n + 2*n)*(-2*n**2 - 3*n**2 + 3*n**2).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -67652000 to the nearest 100000.\nAnswer: -67700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 888 and 3602616?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29922 divided by -9974?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*c - 7294, -2*s = 2*c - 3431 - 1445. Calculate the remainder when c is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 230*o - 1019181 - 2256018 - 4172661. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 21*k**2 + 41. Suppose -p - 3*j = -0*j - 24, 3*p + 3*j = 66. Calculate the remainder when c(p) is divided by 0 + -1 - (-12)\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 430 = -h, m + 4*h + 150 = -m. Suppose -27273*i + 27310*i = -3071. Let g = i - m. Solve 0 = -g*l + 5*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 325370*b**3 - 5293607200*b**2 - 10585912960*b.\nAnswer: -5*b*(b + 2)*(b + 32536)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -26*j + 1128. Let a be u(43). Solve 6*o - a = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t**3 - 21*t**2 + 33*t - 22. Let f(z) = -10*z**3 - 31*z**2 + 50*z - 33. Let m(p) = 5*f(p) - 7*q(p). Let w be m(-10). Which is bigger: w or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4430.081 + 4428. Let f = 0.081 + v. What is the second biggest value in -11, -6, f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - 6*o + 4*o)*(1 + 0 - 2) - 29*o + 6*o - 26*o as g + h*o and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -932, -3737, -8412, -14957?\n\"Answer: -935*q**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-1*2 - 0). Let o(q) = -q**2 - 4*q**2 + 7*q**u. Let y(f) be the second derivative of -f**4\/6 - 2*f. Calculate o(y(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -5, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33188, 66379, 99572, 132767, 165964, 199163, 232364?\n\"Answer: m**2 + 33188*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -79, -66, -49, -28, -3?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 18 + 13)*(j - j + j) + (0*j + 4*j - 5*j)*(-1 + 2 + 1) + 8*j - j - j.\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(7\/(-60))*(-140)\/200*-15. What is the greatest common divisor of w and 1665?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 3*b**5\/20 + b**3\/3 - 5*b. Let w be v(-2). Let u be (w\/14)\/((-12)\/(-2)). Is -2 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 8. Let m = -0.471 + -0.029. What is the second biggest value in f, -5, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**6\/2 + 267*y**5\/5 - 135*y**4\/2 + 913. Let a(u) = 0. What is u?\nAnswer: -90, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 80. Let s = -85 - y. Suppose -2*w - 4 = 0, -x + 3*w + 10 = x. Solve s = -x*a + 4 - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 2, t: 2, f: 6, c: 1, b: 5}. What is prob of picking 1 r and 1 b?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -30, 3 in descending order.\nAnswer: 3, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**4 - 3*n**4 + 3*n**4 + (4*n**4 - 2*n**4 - 4*n**4)*(54 - 121 - 11) as d*n**2 + a*n**3 + o + u*n**4 + s*n and give u.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12d (base 15) to base 9\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/108*-4*(1575\/50)\/63)\/(-1)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 26125476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 less than or equal to 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**15*x)\/x*x**7\/x assuming x is positive.\nAnswer: x**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, l: 2, c: 3, j: 5}. What is prob of picking 3 j?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5912634.\nAnswer: 2, 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/(-100) - 3036870\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21567 and 2528?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-240)*-12*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117045?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-1) + (6 - 11))*-4. Sort -2, -1, g, -5.\nAnswer: -5, -2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j**2 + 2*j - 1. Let q be f(1). Find the common denominator of -101\/4 and 0 - (-11)\/q - 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s**(-3\/7)*s)*s))\/s)\/s**(-2\/27)*s**(8\/5)*s*s*s\/(s\/(s\/(s**1*s))*s) assuming s is positive.\nAnswer: s**(1177\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2376 divided by 72?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, 6\/7, 5 in increasing order.\nAnswer: 0.13, 6\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -22 - (-2 + 0 + 12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*g - 516, 56*g - 51*g = 3*p + 1268. Let q = -1 - -3. Suppose -5*y + l - q*l = -380, -5*l = -3*y + g. What are the prime factors of y?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*s - 47*s + 10 = 0. Suppose b - 54 = -50. Sort s, b, -4.\nAnswer: -4, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 51*t + 51*t + 2 - 8*t**2. Let y(q) be the third derivative of -q**5\/20 - 3*q**2 - 34. What is y(j(c))?\nAnswer: -147*c**4 + 84*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 9 - (-1090)\/(-100). Let s(b) be the first derivative of -13 + 6\/5*b**2 - l*b**4 + 0*b + 2\/3*b**3. Factor s(r).\nAnswer: -2*r*(r - 6)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 13*c**2 + 12*c + 5. Let q be v(12). Suppose -15 = -3*w, 5*j - q*w + 25 = -0*w. Sort -4, j, 6 in increasing order.\nAnswer: -4, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19117 + 33517. Suppose 6*j - 1800 - z = 0. Round j to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/3 - 3822*h - 266892 = 0. What is h?\nAnswer: -69, 5802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 7*k**2 + k - 1. Let u be w(7). Is 6 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/10 + w**2 + 5517*w\/10 - 8307\/5 = 0.\nAnswer: -71, 3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12402783 is divided by 22307.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114856 - 35858. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12054416 is divided by 945.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.8 - 22.8. Let j = 7 - 8. What is the smallest value in j, f, 1, -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228060867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72849, -144475, -216101, -287727, -359353, -430979?\nAnswer: -502605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m**4 - 2*m**3 + 4*m**2 - 5*m - 3. Let o(f) = -f**4 - f**3 + f**2 - 1. Let k(t) = -21*o(t) + 3*p(t). Factor k(s).\nAnswer: -3*(s - 4)*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2800.12355 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.5063ng in micrograms?\nAnswer: 0.2455063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 165666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a + a**3 + 6*a**2 - 2*a**3 - 9*a. Let q be ((-1)\/1 + -7)\/(-2). What are the prime factors of b(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 9*x**2. Let m(k) = -17*k**2. Determine b(m(w)).\nAnswer: 2601*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1011101 (base 2) to base 8\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 9*o**2 - o + 4. Let l be t(-10). Let w = l - -132. Suppose 4 = -4*v, 2*v = 2*c - 682 + w. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -4*v - 7, -5*v + 5*s - 27 = 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + -10 + 296 + -15. Solve -271*n = -s*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - sqrt(187)*4*-4 - -2*(sqrt(187) + sqrt(187) + sqrt(187)*-4))\/(-1*sqrt(99)*3*-1).\nAnswer: 13*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 10:00 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h*h**(1\/3))\/h*h))**44*h**6\/h*h**(1\/5)*h)**19 assuming h is positive.\nAnswer: h**(10127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u. Let x(v) be the first derivative of -4*v**2 - v**2 - 36 + 9. Determine w(x(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u - 24. Let d = -90 - -94. Let z be o(d). Let 2\/3*x - 2*x**2 + 2*x**3 - 2\/3*x**z + 0 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 6. Suppose -2 + s = 3*c. Find the second derivative of -2*u**c + 4*u**3 + 0*u**3 - 4*u - 3*u**3 wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 9*b - 54*b - 3*b)*(b + 8*b**2 + 0*b - 48*b**2).\nAnswer: 2480*b**3 - 62*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4008 - -4172. What is the greatest common factor of 3854 and p?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from ndnnddld.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + 0.24. Let z = 11 - 13. Which is the second biggest value? (a) z (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-24)*5\/((-100)\/(-56))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 19. Suppose -c = 3*q - 8. Suppose -1057*o = -1065*o + 32. Solve o*n = -q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8805 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -9 - 3. Let v(a) = 21*a + 21*a - 70*a + 29*a + 6. Calculate v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -546, -1, -2, -4.\nAnswer: -546, -4, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12878005 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4334, 4338, 4352, 4382, 4434, 4514?\n\"Answer: c**3 - c**2 + 4334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.2965 times -0.1\nAnswer: -0.32965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 899 - 268. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/5 + 9*t**4\/5 - 29*t**3\/5 + 43*t**2\/5 - 6*t + 8\/5 = 0. Calculate t.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*p = -434, 12*k - 16*k = p - 435. Suppose -4560 = 101*v - k*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f + 1. Let l(r) = 16*r - 3. Determine -2*l(p) - 7*w(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k - 159*k + 2280 = -78*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115200 and 167850.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d, 5*v - 2*d - 3*d - 20 = 0. Suppose 3*x - v*x = -4*m, 5*m + 3*x + 8 = 0. Let r be m\/(-3 + (-188)\/(-8)). Are 1 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyvyyvyyy. What is prob of sequence yvv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(3*t**5 + 11 - 11) + (-t - 1 + 1)*(2*t**4 + 0 + 0).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 8:39 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y + 32*y - 30 = 0. Let c = y - 0. What is the remainder when 148 is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1134 and 690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/51)\/((-4)\/(-6)). Let j = 1897 + -1898. Which is the closest to 1? (a) u (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -2. Let v = i + -13. Let q be (-1)\/(-2)*(-8)\/(-12). Which is the smallest value? (a) v (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 12 = -92 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6396 and 858936.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, l: 1, c: 6, a: 4, v: 3}. What is prob of sequence lcj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l**(-15)\/l)\/l)\/l)\/l*l*l**(-2\/7) assuming l is positive.\nAnswer: l**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7801456 divided by -300056\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 5*v - 8. Let f be t(-6). Let b(x) = -2*x**2 + 5*x**2 + 3 - 2*x**2 + x**2. Let j(n) = -5*n**2 - 7. Give f*b(u) - 6*j(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 95 + -5?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -446, -48, 3, -20, -1, 2.\nAnswer: -446, -48, -20, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.833257 millilitres?\nAnswer: 0.002833257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 + 70. Solve -4*i - b*q - 5 = 0, 1 = -2*i - 3*q - 0*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*c - 9*c + 148*c**2 + 1 - 147*c**2)*(1 - 1 - 2*c) to the form p*c**2 + x + o*c + j*c**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, q: 1, p: 3}. What is prob of picking 2 e and 2 p?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**2 + 0*s**3 + 0*s + 5\/6*s**6 + 0*s**5 - 2 + 0*s**4. What is the second derivative of h(r) wrt r?\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42222.645 to the nearest 10.\nAnswer: 42220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((180\/1104)\/(-3)). Calculate the greatest common factor of w and 690.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -200, -416, -710?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42586 or 127759\/3?\nAnswer: 127759\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 78. Let i be 1\/4 + (-6)\/(-8). Which is the third biggest value? (a) -0.3 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.956387 centuries to decades.\nAnswer: 99.56387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x**2 + 8*x + 6. Let s(a) = 7*a**2 + 9*a + 7. Let h be 27\/(-5) - 1\/((-30)\/12). Give h*s(i) + 6*v(i).\nAnswer: i**2 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - v = 6, 8*u - 3*u - v = -29. Let i(s) = -2*s - 7. Calculate i(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8100007 a multiple of 494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1007*o + 4003 = -259*o + 3364 + 58235 for o.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -57 + (12 - 25 - -44 - 19)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/5946 and 61\/12.\nAnswer: 11892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 + 353. List the prime factors of u.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 98 = -2*t + 4*l, -t + 59 = 4*l. Let r be 52\/t - 14\/6. Which is the closest to 0? (a) 5 (b) 1.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.434 rounded to one decimal place?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {t: 10, r: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2 - 143*v + 2678. Let n be a(22). Is n not equal to 1947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4240.269 - -4242. Let h = -13.8 + 12. Let w = h + g. What is w rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-325)\/(-25) + -14 + (30 - -1). Solve s = -33*k - 36 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13981 + 9*i**2 + 13981)*(-2*i**2 - 2 + 2) as k*i + g*i**3 + a*i**4 + v*i**2 + s and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 3*o**2 - 2*o - 3. Let x be w(3). Calculate the least common multiple of 1 and x\/(-3) - (0 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, v: 2, c: 5, p: 2, u: 3}. What is prob of picking 1 u, 1 o, and 1 v?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -33235210+-0.337\nAnswer: -33235210.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 790.959 and 0.0859.\nAnswer: 67.9433781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 7*a. Suppose 5*d + 25 = 0, 34 = u - 2*d - a*d. Suppose 4*y + r - 21 = 2*r, -y + 4*r + u = 0. Solve -7 = 2*m + c, -5*m - y*c - 18 = -2*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuvmubmvmbkmvm. What is prob of sequence mvmu?\nAnswer: 20\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448) + -1)*1 - ((sqrt(2448) - (sqrt(2448)*-1 + -3))**2 - sqrt(2448)) - (4 + 2*sqrt(2448))*-2) + 0)*-1.\nAnswer: 72*sqrt(17) + 9794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -13. Let h = 0 - r. Let l = h + -0.956. Round l to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14008\/86839 + -2\/2347. Let b(d) = d**3 + 2*d**2. Let z be b(-2). Is z bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324 is divided by 1262.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12164991.9967 + -66.\nAnswer: -12165057.9967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*(-4 + sqrt(176) + 1 + 0 + 2)*4)**2.\nAnswer: -3200*sqrt(11) + 70800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**2 + 3*a - 178. Let g be w(12). Let k = g + 1446. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21513, -42103, -62691, -83277, -103861, -124443?\n\"Answer: q**2 - 20593*q - 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1482162, 2964123, 4446080, 5928033, 7409982, 8891927, 10373868?\nAnswer: 11855805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221 - -368. Calculate the remainder when o is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 19*q**4 + 8*q + 5\/2*q**5 + 52*q**3 + 56*q**2 = 0 for q.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17401509.1 rounded to the nearest one thousand?\nAnswer: -17402000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-69)\/(-15) + -4)*5. Solve -q*l + 2*x + 8 = 0, -1 = -l + 5*x - 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 345023987 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-294)\/735 - 372\/(-30)) + (-77)\/1?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -1172, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + c. Let d(w) = -63*w**2 + 63*w. Let k(j) = -d(j) + 63*v(j). Let p(a) be the first derivative of 2*a**3\/3 - 40670. Give k(p(t)).\nAnswer: 504*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 432 - 432.3. What is the closest to -2\/3 in 0.2, c, 3\/5, -22?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((-26)\/(-39))*1\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/96*-3*-2*1064\/266.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 20643000 to the nearest one hundred thousand.\nAnswer: 20600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9145 + 3728*n + 9145)*(-n + 3 - 3) to y*n**2 + d + u*n and give y.\nAnswer: -3728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 521 - 516. Let z(u) = 13*u - 102. Let j be z(8). Solve -2*k + 25 = -x*i + 4, k + j = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 738*f**2 - 1486*f**2 + 733*f**2 to o + s*f + z*f**2 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3186 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16610?\nAnswer: 2, 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 + 11*o - 3. Give z(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 8:54 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajsjjsssjaaajad. What is prob of sequence jss?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 289 - 296 - (5 - (-6 - -4))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d8246 (base 15) in base 5?\nAnswer: -332220031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.7904975957 - -3.7905. What is g rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-172)\/1032 + 26419\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 6, v: 6, n: 1, c: 2}. What is prob of picking 3 n and 1 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16732\/991 or -16?\nAnswer: -16732\/991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004447998601 to 6 decimal places.\nAnswer: 0.000445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 18645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83339 is divided by 303.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**5\/20 - 11*v**4\/12 + 25*v**3\/6 - 6*v**2 - 30*v. Let d be z(-13). What is the tens digit of (d - 17)*(4\/16 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 8*q + 16, 33*q + 24*q - 58*q = -v + 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utuzutt. Give prob of picking 1 z and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*c = -252 - 404 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 4*l + 4. Let n be u(4). Suppose 0 = -5*b + 58 - 8. Suppose -4*w = -6*w + b. Put w, n, -5 in increasing order.\nAnswer: -5, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2328202.9 rounded to the nearest 10000?\nAnswer: -2330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020 (base 3) in base 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-173 - 8*r + 173)*(3*r - 2*r - 4*r) - 2*r**2 - 3*r**2 + 3*r**2 + (-r - 4*r + 3*r)*(0 + 0 + r) to the form s + y*r**2 + v*r and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1680516 = 15238*b + 400524 for b.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5865253291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 5*l**2 - 3*l - 1. Let t be c(-3). Suppose 2*d - t - 16 = 0. Let k be d*(-3 + (8 - 4)). What is the highest common divisor of 126 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -23. Suppose 4*j + q = 30. Let a be (-21)\/j - (-3 + 0). Which is smaller: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1105, -2202, -3297, -4390, -5481?\n\"Answer: i**2 - 1100*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18880, -37727, -56550, -75349?\nAnswer: -94124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 82*r**3 + 0*r**2 - 4*r**2.\nAnswer: -82*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((3\/14)\/(9*36\/(-3672)*17))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-18 + 18 - (-4 - 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 11*f - 24. Let p(b) = 4*b - 8. Determine -8*p(j) + 3*x(j).\nAnswer: j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 13*l**2 + 29*l - 15. Let y be f(10). Let r(w) = w**3 + 24*w**2 - 33*w - 55. Is 38 a factor of r(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10652 - -213091\/20. Let u = -71\/3 + 131\/12. Calculate the common denominator of q and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(405) + 2) + ((-3*sqrt(405) + sqrt(405) - sqrt(405))*-3 - sqrt(405)) + -5)**2.\nAnswer: 1764*sqrt(5) + 79429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3 + 35560*u**2 + 2196776*u - 4535808 = 0.\nAnswer: -17718, -64, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*p - 7*p - 1 = 0, -5*c + p = 21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3913085083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -57, -95, -139, -189, -245?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27*39\/(-3159)*-108.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 237 and 12054.\nAnswer: 952266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j + 5*t = 22*j + 3, 7*j - 5*t = 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/7296520 and 39\/77.\nAnswer: 7296520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1770639.6 to the nearest 10000.\nAnswer: -1770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 0*w + 8 = 5*b, -w - 2*b = -11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*2\/((-4)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31243 - 10?\nAnswer: -31253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(6 + 22\/(-4))*6\/(-4). Let 1\/2*g**w + 0 + 11\/4*g**2 - 3\/2*g = 0. What is g?\nAnswer: -6, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -134339696 divided by -47672\nAnswer: 2818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 12*d - 11. Let o be t(-13). Suppose -5*i + 23 = -o. Solve -a = i, -5*z - a + 6 = 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*h = 4*i - 13, 5*i + 5*h = 20. Suppose -r + i*r = -4*t + 132, 2*t = -5*r + 69. What is the units digit of (-1 + 2)\/(4\/t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -331 + 603. Let r be (-9)\/2*m\/4. Let w = r + 3364\/11. Which is the second smallest value? (a) -2 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*l + 119*l + 427113 = 0. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mafemiifizmfff. Give prob of picking 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-7))\/((-121)\/(27104\/80)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u = -11*u - 31 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(2*2)*6*508\/(-21336).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -343578\/205 - -1676. Let b = 4 - 5. Which is bigger: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 4, q: 10, t: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/7))\/(f*f*f\/f**(2\/19)*f)*(f*(f\/(f\/((f\/(f\/f**(-2\/3)))\/f)))\/f)**(-34)*(f**(2\/3)*f**(-3))\/(f\/f**(-1)*f**(1\/4)) assuming f is positive.\nAnswer: f**(78961\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -8*(-13)\/260 - 111293\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n - 6 = 0. Suppose -3*o = -2*t - 18, 0 = t - 0*o + 3*o. Suppose -40*p - 16 = -48*p. Sort n, p, t in increasing order.\nAnswer: t, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*((sqrt(192) - 4*(sqrt(192) + -2) - ((sqrt(192) + 0 - sqrt(192)) + 1))*-1)**2*1.\nAnswer: -672*sqrt(3) + 3557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204\/1275)\/((-2)\/10).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 103*v. Let g be -2*(15\/10)\/(-3). Let n(j) = 1. Let l(a) = g*c(a) - 4*n(a). Is l(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttctttctttccttcttt. Give prob of picking 4 t.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, x: 3}. Give prob of picking 1 y and 2 x.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.622404 litres in millilitres?\nAnswer: 9622.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*a**5 + 48870*a**4 + 3928741*a**2 wrt a.\nAnswer: -600*a**2 + 1172880*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -77 + (79 - 40).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, v: 4, l: 1}. What is prob of picking 3 c and 1 l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-5)*-4*1\/16\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-20)*(1 - -4). Find the second derivative of -8*j**a - 26*j + 75*j + 12*j wrt j.\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, f: 1, p: 1}. What is prob of sequence aaaf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001475 to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 426 and -3.\nAnswer: -1278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/1003 + 1048\/15045. What is the nearest to -5 in -1, 1\/2, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 9*u = 0. Solve u = -0*q - 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 greater than -28487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = o - 10. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = i + 11*q - 1609, q - 6381 = -4*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 14*u + 3. Give c(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2011777g?\nAnswer: 201177.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1432)\/(-32) - 6\/8. Let u = t - 50. Does 28 divide (-36)\/3*28\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2109*h**2 - 2277?\nAnswer: -4218*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (54\/36)\/((-45)\/12)*-123545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-2) + (-3)\/(-1). Let d = 33 - 28. Suppose -p*j - 16 = 2*j, 71 = 3*m - d*j. What is the remainder when 66 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2597 - 2599. Which is the nearest to 1\/14? (a) -0.1 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2439 + -2212.8. What is w rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -12*d - 6. Let u(q) = 11*q + 5. Suppose 158 = -66*j - 172. Calculate j*v(c) - 6*u(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2*2.0058\nAnswer: -4.0116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 2*d, -14 = -2*p + d - 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h + 4. Let z be a(4). Let r be ((-2112)\/462)\/(2 + 176\/(-84)). Calculate the highest common factor of z and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 16*s - 4 = -20*s, 3*s = -3*z - 27 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 13*p**3 - 9*p - 2. Let o(g) = 6*g**3 - 4*g - 1. Let m = 4 + -8. Suppose 3*x = -d + 12, 2 = 2*x - 0*x. Calculate d*o(q) + m*z(q).\nAnswer: 2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1748000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14517 (base 9) to base 7\nAnswer: -40600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4475)\/(-622920))\/((-2)\/(-96)).\nAnswer: 10\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + aa4?\nAnswer: aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -16, 11, 20759 in descending order.\nAnswer: 20759, 11, -3, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*t - 17*t - 504 + 415 = -2825 for t.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*r - 2*d + 188, 3*d - 84 = -2*r. Let x(f) = -5 + r*f + 0 - 12*f. List the prime factors of x(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142 - 63327*i + 142.\nAnswer: -63327*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**3 - 105*r**2 - 102*r = 0.\nAnswer: -34, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0562 + 40.5562. Let t = -40.34 - -0.34. Let a = x + t. What is the third biggest value in 3, 3\/7, a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(4\/13)\/(k\/(k\/(k\/(k**(8\/9)\/k))*k)*k))\/(k**(-1\/4))**22)**(9\/10) assuming k is positive.\nAnswer: k**(1099\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -876, -878, -880, -882, -884?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 i when four letters picked without replacement from {i: 2, c: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 465\/4 + (-7)\/28. Round d to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/(-36))\/(-7)*2. Which is the third biggest value? (a) 0.4 (b) h (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75519121?\nAnswer: 75519121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 26 = 2*g, -4*g + 27 = 2*a - 5. What is the remainder when g is divided by (-20)\/6*(-21)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 1:26 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 + 4*a**4 - 2*a**4 + (-2*a + 0 + 0)*(1 - 2 - 37)*(25*a**3 - 29*a**3 + 92*a**3) as q*a**3 + m*a + k + x*a**4 + p*a**2 and give x.\nAnswer: 6691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2418.575nm to millimeters.\nAnswer: 0.002418575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7651622 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128197 divided by -4.\nAnswer: -128197\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 6*c - 7*c. Suppose -2*n + 11 - c = 0. Solve 0 = -n*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7ba6b51 + -3?\nAnswer: -7ba6b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*x + 23*x + 33*x to i*x + s and give i.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34466421 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7966405020 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z. Let g be (4 - -27)*1\/1. Let k(n) = 11*n - g*n + 12*n. What is k(v(x))?\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(52) - (sqrt(104) - sqrt(104)*1)\/sqrt(8))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2069\nAnswer: -3\/2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 + l**3 + 19*l**4 + 0*l**4 - 20*l**2 - 12*l**4 - 3*l**4 as k + s*l**3 + n*l**2 + a*l + y*l**4 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22 and -162?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.098 and -2.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 6*v - 5. What is the remainder when 42 is divided by u(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1158*a - 2196. What is r(-2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/12 + (-9)\/(-18). Which is the closest to 0? (a) -5 (b) -8\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726 + 113 = t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*g + 70*g = 0. Let t = g - -45. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3 + 2 + 1 - 2 + (0 - 4 + 3)*(-3 + 0 + 5) - 4 - 1 + 6 + 3 + 3 - 2 + 4 - 1 - 2 + 1 + 1 - 4 + (1 - 3 + 1)*(2 + 3 - 3) + 1 + 0 + 0)*(-a - 2*a + a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1201440519*m**2*v - 588*m*v + 21*m - 45*v + 6 wrt m.\nAnswer: -2402881038*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 - 268*f + 413. Let o be z(89). What is the highest common divisor of o and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from {j: 2, v: 1, w: 5, o: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 106*s**2 + 8*s + 1. Calculate h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312 - 192 - r**2 - 120.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88a (base 12) to base 5.\nAnswer: 20013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vllyllllvlly. Give prob of sequence vyvy.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66980794, -66980795, -66980796, -66980797, -66980798, -66980799?\nAnswer: -66980800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t - 2. Let a be (105\/42)\/(5\/(-8)). Let v(k) = -8*k - 3. What is a*v(z) + 6*q(z)?\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142222011 (base 6) in base 8?\nAnswer: 61431027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*p + 17, 6 = 20*p - 23*p + 3*a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/(-8)*60\/120.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 + 12*w - 2. What are the prime factors of p(11)?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -344468 and -615.\nAnswer: -345083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*y - 4594, -y = -3*c - 1330 + 194. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 853 + -45647355\nAnswer: -45646502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33221154112.9999023 - 33221155756. Let r = -1643 - u. What is r rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1866\/(-17105)*16\/(-12)*5\/(-2)*-3?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.5, 0.4, 16, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -36126039?\nAnswer: -36126039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10.4963599541 - -2.4\nAnswer: -8.0963599541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/1*(48 + -8) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 184282305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5833 + -14032?\nAnswer: -19865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 738282 + 738282 + 4*x**3 + 0*x + 14*x**4 - x in the form r + z*x**4 + g*x**2 + w*x**3 + d*x and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 + 59*b - 13. Calculate v(20).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 8. Let s = -3 - 2. Let n be w(s). Suppose 0 = -6*i + 7*i - n. Solve -i*d = 3*c - 3, 4*c + 13 = 5*c - 3*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1938)\/(60 + -43) + (9\/(-4))\/(3\/16).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 115*y**5 + 1000020*y**4 + 2230168050*y**3 + 244208897920*y**2 + 6837083494395*y - 1196456011380 = 0?\nAnswer: -4291, -57, 4\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.298741 tonnes in grams?\nAnswer: 298741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 89 = -2*c, 3*c + 245 = 17*l + c - c - 2*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = 3*z + 2, -z = 0. Solve 2*w - 7 = -h, 2*w + 0*h = o*h - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1140366?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0 (c) -0.03 (d) -0.354\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*x - 220. Let z be -3 + x\/(-208)*11294. Let m = z + -11946. Find the common denominator of 95\/8 and m.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 2:04 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2783755117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 5*q**2 + 5*q - 13. Let b be w(-4). Solve -b*p + 6 = -12*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = -8595*b + 4299*b + 4292*b, -5*x = 4*b - 119 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5)*3\/(-2) + 0. Which is the third smallest value? (a) 1 (b) -3\/8 (c) n (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2. Let h(z) = -3*z**2 + 3*z**2 - 3*z**2. What is o(h(q))?\nAnswer: -27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20239222, -80956888, -182152998, -323827552?\n\"Answer: -20239222*m**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 676006160 to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + sqrt(190)*1)*-2)\/sqrt(10).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 108? (a) 4\/5 (b) 0.2 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5681000 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0111940546 rounded to five dps?\nAnswer: 0.01119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 5*m + 32, -3*a - 901*m + 897*m + 23 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gffg when four letters picked without replacement from {f: 3, k: 1, g: 2, w: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634718?\nAnswer: 2, 7, 45337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*m = 4 + 7, 3*x - 2*m = -14. Let k = x + 9. What is the nearest to -1 in 1\/4, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22314 is divided by 72?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**3 + d - 2. Let r(k) = 14*k**3 - 3*k + 6. Suppose 3*b - 6*b = 24. Suppose 5*v - 5 = -20. Give b*z(h) + v*r(h).\nAnswer: -2*h**3 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561507 is divided by 62383?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 480941, 961905, 1442869, 1923833, 2404797?\n\"Answer: 480964*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 405?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9896 - 9891. Solve -113 = -i + p - 109, -a*p - 20 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 3*k - 18. What is the remainder when o(8) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 35. Which is the third smallest value? (a) -2 (b) -0.7 (c) n (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -250321 + -24?\nAnswer: -250345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 110745364229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 229.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 481516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x + 79*x**4 - 5*x - 81*x**4 + 20 to n*x**2 + y*x + q + t*x**4 + z*x**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 169, -0.3, 3\/8, -29?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 + 705*b - 3456. What is j(5)?\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22440, -44876, -67318, -89766, -112220, -134680?\nAnswer: -157146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/8303960 and -31\/618380.\nAnswer: 58127720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -28*m**3 - m**2. Let v be q(-1). Is 8*2\/(8\/v) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2177 - -2263. Suppose -113 = -4*p - 5*m + 61, 144 = 3*p - 3*m. What is the remainder when o is divided by p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 735\/24*3402\/8505.\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -328*w**3 + 2*w**2 - 156*w - 157. Calculate o(-1).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 27, 347, 41, 3, 2 in descending order.\nAnswer: 347, 41, 27, 7, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60cd (base 14) to base 13.\nAnswer: -7765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*f - 16*f**2 + 106*f - 51*f + 5*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*t + 8 = 54*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-3)*(-3)\/2. Let x(u) = 2*u**2 - 2*u - 2. Let a be x(2). What is the derivative of -a - 1 + 2*f + g wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529416 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3751)\/(-33)*(-1 - -4)?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11451969 is divided by 1272441?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -76, -92, -110, -130, -152?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4*c = -z + 20, z - 2*c + 10 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 11. Let q(y) = y**2 + 19*y - 10. Let p be q(-19). What is the remainder when 60 is divided by d(p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 5. Let a(j) = j**2 - 5*j + 2. Let f be a(2). Give u(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 81. Let u = -6 + 2. Let d = -4.5 - u. What is the second biggest value in d, 2\/7, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 24.4. Let j = -0.399934 - w. What is j rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 + 2*m**3 - m**2 + 0*m**2 + (26*m - 33*m - 16*m)*(-3*m**2 + 46*m**2 - 12*m**2).\nAnswer: -711*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 0 - (4 - -1)) + 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3369.2 centimeters in micrometers?\nAnswer: 33692000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1040 + -1034.73. Let z = y + -226.27. Let l = -220.03 - z. Round l to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/16 (b) -5 (c) -0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -17.18. What is d rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = 14. Suppose u + l = 2. Is (-971)\/(-3) - u\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 3410.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:40 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 44855959945.\nAnswer: 44855959945.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2037 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(18)*1 - (sqrt(288)*1 + sqrt(288)))\/(-2*(sqrt(441) + (sqrt(441) - sqrt(441)*-2) - sqrt(441))))**2.\nAnswer: 8\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/1997755 and -1\/235030?\nAnswer: 3995510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpqpqqzrzz. Give prob of sequence ppq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -129. Let r = t - 82. Solve 21 - 1 = -r*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 5*d + 2*d)*(-4 + 4 + 3*d) - d**2 - 2*d**2 + 2*d**2 + 0*d**2 + d**2 + 2*d**2 + (-10*d + 4*d + 2*d)*(d - 4*d + 0*d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 101718 and 169530.\nAnswer: 508590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252903 is divided by 366.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56276593.\nAnswer: 37, 1520989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -4909 + 88339\/18. What is the common denominator of (-5 + (-163)\/(-5))\/4 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -6.7. Let k = -0.8 - x. What is the closest to 1 in k, -1\/6, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3905 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1\/14)\/m)*m*(m*m*m**(5\/4))\/m*m)**(5\/11))**(-1\/24) assuming m is positive.\nAnswer: m**(-295\/2464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.19 - 20.19. Let m = a - -21.3. Let b = m - 1.2. Is -0.7 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -71. Suppose 24 = -y*u + 10*u. Is (9 + 2)*(0 + u) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-1 + 3 + 1). Let r(o) = o**3 + 11*o**2 - 14*o - 14. Let q be r(-12). Suppose q = -p*t + t. Sort 0, 1, t in ascending order.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 309, 0.065?\nAnswer: 309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(102)\/sqrt(6) + 0))*4 + ((2*sqrt(170)*-2)\/sqrt(10))**2 + -1.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*m**3 + 170*m**2 + 260*m + 120.\nAnswer: 5*(m + 2)**2*(7*m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/160*64\/36.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x = 4154 - 60834. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1394986607*x + 1394986607*x - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*r**2 + 2068 - 3*r - 1036 - 1032 + 3*r.\nAnswer: -119*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299478037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -230408422.00000012 + 230408470. Let j = 47.914 + 0.086. Let i = j - o. Round i to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36014813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191311171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -20*q + 124. What is the least common multiple of c(6) and 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k**2 + 6*k + 1. Let v be g(1). Let o(m) = -m + 8. Let i be o(-7). Suppose 0 = -4*x - 3 + i. Sort x, v, 2.\nAnswer: v, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 2*t = 20. Suppose k = 4*m + 49, -t*m - 185 = -5*k + 3*m. List the prime factors of 23*(-12)\/(-18)*k\/2.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 70*x - 5. Let v(f) = 210*f - 14. Let j(t) = 8*r(t) - 3*v(t). Differentiate j(k) wrt k.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 766*u + 1430. Let k be p(-2). Sort 2, k, -7.\nAnswer: k, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194 by 6.\nAnswer: -97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**4\/6 - 4*t**3\/3 + 2*t**2. Let r be u(8). Suppose 0*a = -a + r. What is the highest common factor of a and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 25 + v + 0*v - 5*v + 6*v.\nAnswer: v - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (3 - (7 - 3)) + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/((sqrt(70) + (sqrt(70) - sqrt(70)*-2) + sqrt(70))\/sqrt(10) + sqrt(7) + sqrt(7)))**2.\nAnswer: 19\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + c**2 + 7*c + 19. Let y be w(0). Solve y*n - 36 = 31*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 14. Let t be (-1)\/((-1)\/2*8\/20). Suppose -4*x - t*l + l + 404 = 0, 3*x - 293 = -l. What is the remainder when x is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 10 - 26 = 0. Let p = 75 - 53. Suppose -6*i + 32 + p = 0. Calculate the least common multiple of u and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Suppose m = 3*f - 2. Suppose 0 = 5*c + f*h - 154, -5*h - 85 - 58 = -4*c. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -27974.2\nAnswer: 139871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -6*x. Suppose 0 = -2*q - x*q + 446. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9804, 19638, 29474, 39312, 49152, 58994, 68838?\nAnswer: 78684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = 1. Suppose 3 = n + f. Let x be (-13 - -1)*18\/n. Solve -4*h = q + 9, 7*q - 4*h - x = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 3*w**2 - 3*w + 3. Let h(f) be the first derivative of f**4\/4 - f**3\/3 - 13*f**2\/2 - f - 160. Let l be h(-3). Determine k(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2 + 2913*v + 471452 = 0. What is v?\nAnswer: -2741, -172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k**(2\/7)\/k))*k)\/k*k)\/(k*k*k**(2\/7)*k))**(-45) assuming k is positive.\nAnswer: k**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -15. Suppose -2*b - 10 = 4*k + 28, -w*b = -5*k - 43. What is the smallest common multiple of 6 and ((-12)\/k)\/(3\/9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 4 (c) 5\/101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -0.009 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-6)\/(-24))\/((-5)\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v + 5. Let n(i) = i**2 - 14*i - 75. Let p be n(18). Let f(z) = 2*z + 1. Let l(y) = p*f(y) - t(y). Calculate l(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8 and -24978?\nAnswer: -44960.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/1150? (a) 84740 (b) -3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 0\/1 - -2. Which is smaller: -1\/40 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 14*w**2 - 3*w - 41. Suppose 4*d - 10 + 10 = 0. Suppose d = -j + 11*j - 120. List the prime factors of t(j).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j + 1. Let u(g) = -5*g - 2. Let f be (-14*56\/(-294))\/(4\/6). Let r = 6 - 3. Give f*o(c) + r*u(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**2 + 4*t - 4*t)*(7 - 7 - 4*t) in the form p*t**2 + z*t + m + v*t**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 15536*z - 46644.\nAnswer: 4*(z - 3887)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16*f**2 + f - 2. Let b(n) = -n + 1. Calculate b(s) + t(s).\nAnswer: 16*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -763 + 762.77. Which is the second smallest value? (a) r (b) 2.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 184 + -212 + 1 + 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2 - (567\/(-51) - -9)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 8:51 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 11:56 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1958*i**2 - 1957*i**2 - 1951*i**2 + 2*i**3 - 1953*i**2 + 7819*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/3, -4155, 0.05, -4, -1\/2, 7?\nAnswer: -4155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c + 28*c + 4*h = -31 - 31 + 16, 5*h = 4*c + 105 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 233103321210 (base 4) in base 2?\nAnswer: 101111010011111001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n - 40. Let c be f(4). Suppose -2*v + 5 - 1 = c, 338 = 2*y - 2*v. What are the prime factors of y?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x\/(x*x**10*x*x)*x)\/x))\/x)\/x**(45\/7))**(-4\/13) assuming x is positive.\nAnswer: x**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h - 1. Suppose 0 = -4*r - 20, 4*r - 2 + 26 = 4*f. Let i be 4\/(-10)*(-9 - f). Suppose 16*s = 12*s - i. Determine d(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50 + (0 + 1 - 45\/(-15)). Calculate the highest common divisor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*k + 102*k - 319*k - 30965*k**2.\nAnswer: -30965*k**2 - 430*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 338106 - 235529. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 978 - 2*m**2 - 93*m - 1953 + 3*m**2 + 975 + 8*m.\nAnswer: m**2 - 85*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1490, 12288, 41842, 99608, 195042, 337600, 536738?\n\"Answer: 1576*g**3 - 78*g**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 46?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 2*x**3 + 374*x - 2*x**2 + 2*x**2 - 401*x in the form z*x**2 + i + c*x**3 + n*x and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 600923521 to the nearest integer?\nAnswer: 24514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -343 + 776*x**2 + 343 to w*x**2 + o + j*x and give w.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-7 + 7 + 5*f).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Suppose -2*l + 40 = o*l. Suppose 3 = -5*z + 13, 4*x = 3*z + l. Solve 2*c + 2*c = -x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 f when four letters picked without replacement from {i: 4, l: 7, f: 6}?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/25 in 2, 4717, 1\/37, 5, -4?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -54. Let y(h) = -h**3 + h**2 + 18. What is the smallest common multiple of a and y(0)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwwcccw. What is prob of picking 2 c and 2 w?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-3 - (-1 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 114*r - 118*r - 28, 12*d - 683 = -73*d - 3*r - 0*r for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3) - 2)\/((-1)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z**2 - z - 5. Calculate d(-3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**2 - 2. Let p(h) = -h. Let i(a) = 3*p(a) - r(a). Let t(n) be the third derivative of n**5\/60 + 4*n**2. Give t(i(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 7:10 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -126.9 and -10?\nAnswer: 116.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163*f**3 + 6*f**2 + 19*f wrt f.\nAnswer: -978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f. Calculate i(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1635.4419 + -0.0419. What is u rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 - -0.01. Let x = 3 + -2. Let u = 1249\/8 + -8775\/56. Put x, t, u, -1\/5 in descending order.\nAnswer: x, t, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2078?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2. Let q(z) = -4*z**3 + z**2 + z - 2. Determine f(i) + q(i).\nAnswer: -4*i**3 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 18, 13, 2, -1 in descending order.\nAnswer: 18, 13, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 3 = 2*c - y, 0 = c - 5*y - 21. Calculate the smallest common multiple of 66 and c.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 40*k**2 + 15*k + 8. Let c be u(40). Let b = c - 609. What is the biggest value in b, 2, -1\/3, -2\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-84) - (-110682)\/3276?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(15 - (-363)\/(-22)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 778, 1550, 2326, 3106, 3890?\n\"Answer: 2*x**2 + 766*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u - 6*u**3 + u**2 + 0*u**2 - 7*u to c*u + h + i*u**3 + g*u**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 88 = -w - 248. Calculate the highest common factor of w and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o. Let u(n) = 7*n**2 - 5*n - 5. Let r(k) = -6 - 2*k**2 + 0*k**2 - 6*k + k**2 + 9*k**2. Let b(m) = 5*r(m) - 6*u(m). What is x(b(t))?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7200 - 7200 + 2624*r**3.\nAnswer: 2624*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*u - 6095 - 24134. What is the remainder when u is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -470.5282587 - -0.0912587. Let f = h - -470. Let b = -0.047 - f. Round b to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11931 = -3*z + 12033 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-1890))\/((-2)\/(-24))*12\/(-40)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.83 + -0.83. Let l = 95 + -377\/4. What is the nearest to -4 in i, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567 (base 14) in base 9?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10438318 is divided by 1104?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 10:17 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 2:26 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 12\/5 and -4293 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203.894 - 205.9. Let p = -1.997 + -0.003. Let i = p - b. What is i rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 - 4388*o\/9.\nAnswer: -2*o*(o + 2194)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**3 - 7*j**2 + 15*j - 1. Let a(u) = u**3 - 10*u**2 - 4*u + 42. Let l be a(10). Is 10 a factor of b(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -623*d**2 + 6 - 871*d**2 + 91*d**2.\nAnswer: -1403*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3291383?\nAnswer: 3291383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1291, 2581, 3871?\n\"Answer: 1290*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4*-9*5\/(-60)*(-15)\/36\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 2*v - v**2 - 6 - 1\/3*v**3. Let n(p) = 2*p + 2. Calculate -2*n(a) - 3*y(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*r - 3*r - 18 = 0, -25 = 5*r. Let z be -3 - (-12970)\/(-2)*q. Let m = z + -155621\/24. Calculate the common denominator of m and 64\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 140 = 9*s. Suppose 9*d - 4*d = s. Calculate the remainder when d is divided by 30\/7 - 4\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 78 = -0*q. Suppose -3*n + q = 4*l, 14 + 5 = 2*n + 3*l. Let m be (-14)\/(-18) + 8\/36. Put -1, n, m in increasing order.\nAnswer: -1, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -151673*d - 2. Let z(v) = -3*v. Calculate z(w(n)).\nAnswer: 455019*n + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*q - 9483 + 2155. What is the remainder when q is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 2*b**2 - 13*b + 100 + 9*b - 63 + 4*b.\nAnswer: 2*b**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 140 (b) -2\/3 (c) 1 (d) -2 (e) -62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79052073 - 68459086987\/866. Let p = a - 2\/433. Let b = -173741\/20 + 8690. Calculate the common denominator of b and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/17 in 14, 11919, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)*h*(h**(6\/7)*h*h*h)\/h)\/(h**(2\/7)\/h)**45 assuming h is positive.\nAnswer: h**(182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.901 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 295791344 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/69, -7994, 6 in decreasing order.\nAnswer: 6, -2\/69, -7994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7 - 11*y + 2 + 5 + y**2. Calculate the remainder when z(12) is divided by (-2 - -2) + 14\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/99*1\/5*18\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68))**2 + -1.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72087 or 73039?\nAnswer: 73039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396483378.\nAnswer: 2, 3, 101, 433, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122039 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g**5 + 2026*g**4 + 165938*g**3\/3 - 1085014*g**2\/3 - 259252*g - 44208 = 0.\nAnswer: -307, -36, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -4 (b) 0 (c) 3\/2 (d) 0.12 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*l**0*l)*l)\/l)*l)**(-46)\/(l*l**(-6)*(l*l**(-2\/3)*l)\/l*l*l)*((l*l**(-6)*l)\/l*l\/(((l**(-1\/2)*l)\/l)\/l))**21 assuming l is positive.\nAnswer: l**(-1127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -256.09 and -302836153?\nAnswer: 302835896.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttqn when four letters picked without replacement from knntqtthttnht?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -4*u**5\/5 - 51*u**4\/8 - 9*u**3\/2 - 726*u**2. Factor l(g).\nAnswer: -3*(g + 3)*(16*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 2*h + 210. Suppose -13*n + 20*n + h = 0. Which is the nearest to 2\/7? (a) 0.7 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6, 1, 2\/5, -19, 19\/6, 6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 1:36 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223 + -1117\/5. What is the closest to c in -3, -0.1, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*h - 22 = -0*h, 3*h - 11 = -2*k. What is the remainder when (k - 56)*(-7)\/14 is divided by 1*(1 + 18\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11131013 - 22002?\nAnswer: -11213021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*h**5 + 102*h wrt h.\nAnswer: 760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*p**2 + 516*p - 12 = 0. Calculate p.\nAnswer: 2\/85, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -126*m - 432. Calculate the remainder when 148 is divided by y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6445.517 centuries to decades.\nAnswer: 64455.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(0 + 7*q + 0).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/5))**46 assuming z is positive.\nAnswer: z**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -403 + 403. Solve 5*z - 10 = b, -5*l + 39 = -5*z + 74 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**7\/3780 - i**6\/1620 + i**3\/2 - 2*i**2. Let l(d) be the first derivative of p(d). Find r, given that l(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -21. Suppose 5*x - f + 7 = -3*s, -x - 5 = -3*s. Solve -a - 2*h = 14, -4*a + x*h + 8 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/13160 and -36\/6721.\nAnswer: 1881880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -17. Let v(h) = -18*h + 36. Let b be v(q). What is the greatest common divisor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 10 = 5*m + 4*z, z - 5 = -m. Find y, given that 3*y**3 - m*y**3 - y - 3*y**3 + 5*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 14*m + 14. Let q(i) = -5*i - 5. Let p(u) = -11*q(u) - 4*r(u). Let b(n) = n + 1. Let h = -199325 - -199327. Calculate h*b(d) + 3*p(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/38 equal to 3\/227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5303161 to the nearest integer?\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*h + 2 = 0, 3*d - 4*h = d - 4. Let m = 2 + d. What is the third derivative of -o**2 + 2*o**4 + m - 4*o**2 + 0 wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, -5, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -20.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a + 66. Let t be z(-11). Let h be 101\/t - (-108)\/(-594). Let d(v) = 5*v**2 - 2*v - 1. Let w be d(-1). Solve -3*m + h = -w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104043 - 4?\nAnswer: 104034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25525494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -174, 3 in decreasing order.\nAnswer: 3, -11, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -2856?\nAnswer: -2858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -9*q + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/4 (b) 2\/7 (c) -0.36 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**3 + 4*f**2 + 6*f - 23. Let b(t) = 16*t**3 + 11*t**2 + 17*t - 68. Calculate 4*b(s) - 11*l(s).\nAnswer: -2*s**3 + 2*s - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**3 - 7*t**2 + 3*t + 3. What is the tens digit of g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*(-8)\/30. Suppose 0 = -2*h - n - 4, -19 = 5*h + 3*n - 8. Let y = 2.005 + -0.005. Which is the nearest to y? (a) s (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-26) - (-3570)\/910?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.27129 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005535 to four decimal places.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11503487*y**2 - 12420870*y wrt y.\nAnswer: -23006974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -19, -5, 9, 83, 2 in descending order.\nAnswer: 83, 9, 6, 2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*n + 8*n + 2*n)*(-1 - 2 + 12) + (4 - 2 - 4)*(0*n + 5*n - 3*n))*(2 + 2 - 2).\nAnswer: 172*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 53655.\nAnswer: -4\/53655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 760452?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163 (base 7) to base 10.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22041850 divided by -2\nAnswer: -11020925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 8*p**2 + 8*p + 1. Let y be x(-6). Let t = y - 12. Suppose -5*k + t + 32 = 0. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 6, r: 4, b: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*g - 2. Let l be 6\/9 - 1\/(-3). Let t be -1 - l - 9*-3. Solve -t = 5*q, 0 = -5*c + g*q - 3 - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-3))\/(-10)*-3*42\/(-49)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 11. Let a(b) = -b**3 - 2*b**2 - 5*b - 5. Let q be a(s). Solve -5*g + q = 0, 3*h - 2 = 3*g + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 + s - 1. Suppose 6 + 6 = 3*g, -5*g + 17 = -3*b. Let z be r(b). What is the third derivative of 18*n**z + 31*n - 31*n - 5*n**2 + n**2 wrt n?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*q - 786 + 17773, -2*r = -2*q + 16992. What are the prime factors of q?\nAnswer: 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 - 2*f - 6. Let a be q(-5). Let y be (-66)\/(-15) + (-4)\/10. Let o be 2\/y + 1\/(-2). Solve -8 = -a*x - o*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 12. Let w be 0\/((1 - m)\/(-1)). Suppose 12 = a + 3*h, -4*a = -2*h - w*h - 34. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 11*r**2 - 11*r + 8. Let p be c(10). Is p at least as big as -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3884*h. Let s(q) = -193*q**2. Give s(p(k)).\nAnswer: -2911493008*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/(-64)*(-616)\/(-672)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*d - 20*d + 704 = 0 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, 5.\nAnswer: -11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16256699579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-18)\/(-5040)*136?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 71274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 8*m + 4. Let p = -95 - -100. Let f(n) = 8*n + 5. Determine p*y(q) - 4*f(q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, 45, 95, 151, 207, 257, 295, 315?\n\"Answer: -d**3 + 12*d**2 + 9*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuo when four letters picked without replacement from {u: 10, o: 9}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/25))\/(z*z**(-9\/4)*z))\/(z*(z**(2\/9)*z)\/z*z\/(z\/(((z*((z\/((z*z*z**(-2\/41))\/z))\/z)\/z)\/z)\/z))) assuming z is positive.\nAnswer: z**(112877\/36900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -270*m + 3. Let x be r(1). Round x to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*v = -411*v + 3192 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10333703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + b + 2*b - 3, -4 = -4*b. Suppose 5*a - 4*z = -s*a - 35, z = 0. Suppose -k + 2*k = w + 12, 2*w - 5*k + 36 = 0. Do w and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(-5 + 0 + 4) - 1 + 3 - 4 + 2 + 2 - 5)*(-4*t + t + 0*t)*(-3 + 2 + 0).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 2*s + 4. Let m(k) = k**3 - 11*k**2 + 10*k - 8. Let u be m(10). Does 4 divide l(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(11\/4)*q)**(-3)*(q**(-6\/7))**18 assuming q is positive.\nAnswer: q**(-747\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1503011366?\nAnswer: 2, 23399, 32117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1079 and 2119?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-1 + 9 + -6. Solve l*r - 6 + 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 77\/(-28) + (-2)\/8. Let t = m + 5. Solve 3*l = t*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/1490 + -4541\/105790. Let i = -169\/639 - h. Let w = -1 - -0.8. What is the nearest to 4 in -2, w, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7620.34 microseconds?\nAnswer: 7620340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.37 + 0.17. Suppose 4*s - 38 = -4*f - 22, -5*f + 30 = -5*s. What is the nearest to -0.05 in u, -19, 3, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s - 34*s - 5*p + 30 = 0, 58 = 3*s - p. Solve -12*m - s = -17*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438686695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 9*z**3 + 13*z**2 - 234*z + 1574. Calculate c(8).\nAnswer: 5142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -2, -0.064, 3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41 + 7a?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 54614250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -f7 (base 16) in base 12?\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13373023 at least 13373027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/18*(1\/(-15))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 7*i + 12*i - 28*i - 1 as y*i + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/7)\/l**(1\/4)*(l\/l**(-2\/19))\/(l*l**(-2\/11)\/l) assuming l is positive.\nAnswer: l**(4397\/5852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137676272.\nAnswer: 2, 8604767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 5*t + 2*t)*(0*t - t - t) + 41*t**2 - 22*t**2 - 33*t**2 + t**2 + 4*t - 4*t.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23498 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 4 (c) -180\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -32197*l - 146. Is g(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5596243529?\nAnswer: 701, 7983229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-2*z + 0*z - 3*z)*(14 + 3 - 3).\nAnswer: -140*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-12 - (-5 + -6 - -7 - -4))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 27\/15995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1518 - 606. Let j = 2393 - p. List the prime factors of j.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*b**3 - 183*b**3 + 237*b**3 - 160*b**3 + 252*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 2) + 12981\/(-15). Let m = p - -864. What is the common denominator of m and (-171)\/(-380)*(-315)\/14?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -512?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-8)*1*4. Suppose -3*i - 5*k + 44 = 0, 12 = 9*i - 8*i + k. Put 2, i, -4, s in increasing order.\nAnswer: -4, 2, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*p = -26, p = 3*y + 2*p - 10. Suppose 2*g - 166 = 2*x, x = -y*g - 4*x + 201. Round g to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 m when three letters picked without replacement from mvmvvvvmmmvvvvvv?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 at least -7183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/80 and -17\/253488?\nAnswer: 1267440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + 37. What is the smallest common multiple of 6 and j?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -186*a + 1489. Let c be z(8). Is 16\/901 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1272 and 805 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -18*r**2 + 3866*r - 3005. What is b(214)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 3*y. Suppose 0 = 2*a - 20 - 82. Let g(l) = 0*l - a + 51 + l**2 + 2*l. Determine -3*g(z) - 2*n(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 120\/55 - (-4)\/(-22). Suppose 2*a + 40 = 7*a + p, -5*a + 40 = -w*p. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84853210?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 23 + 17. Suppose w*b = -4*o + 2*o + 88, b - 88 = -2*o. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*2 + 4. Suppose -2*y - 123 = -a*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -49*c. Let d(v) = -7*v + 6. Let w(p) = 6*p - 5. Let b(z) = 5*d(z) + 6*w(z). Calculate l(b(r)).\nAnswer: -49*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 420*q + 2141. What is j(-5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3477.5 - -3478. What is the fourth smallest value in -1\/3, 5, m, -9\/179?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -413072, -826142, -1239218, -1652300, -2065388, -2478482, -2891582?\n\"Answer: -3*p**2 - 413061*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - r - r**3 - 5 - 5 + 7 to y*r**2 + w*r + k*r**3 + n and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-638)\/(-12441) + 2\/(-39). Let v = -5491 - -1169585\/213. Is u > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10443 - -20193. Let g = c - 9729.005. Let k = -0.005 - g. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 20*v + 88. Let k be u(-14). Solve -13 = a - 2*c, k*c - 3*c - 11 = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l - 2*l**4 - 9*l**3 - 3*l**2 + 9*l**3 + 0*l**2 + 1 in the form u*l**2 + s*l**3 + n*l + i*l**4 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 d when four letters picked without replacement from {k: 1, d: 9, w: 4}?\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -221 + 222. Let f be 4\/14*(-3)\/2. Which is the closest to v? (a) 0.5 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -214, -15, -1, 4, 12, 2 in increasing order.\nAnswer: -214, -15, -9, -1, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -4*r + 9*r. Let m(o) = 31*o**3 + 9*o**2 + 81. Let g(u) = -15*u**3 - 4*u**2 - 40. Let d(x) = r*g(x) + 4*m(x). Differentiate d(t) wrt t.\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 4*y. Let k(t) = -t. Give 5*k(p) - l(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*y**6 + 156 - 5*y**2 - 156 wrt y?\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)*((c\/c**(-17))\/c)\/c)\/(c**11*c*c\/(c*c*c\/c**(3\/5))) assuming c is positive.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -174 + 1806?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -4.47.\nAnswer: -3.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 72?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3)\/(h**(-1\/3)*h))\/(h**5\/h*h*h**5))**(1\/2))**(-16) assuming h is positive.\nAnswer: h**(328\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -13 - (3 + 4 + 0 + -15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -190 + 3488a?\nAnswer: 346ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2379668?\nAnswer: 2, 594917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 270\/16297?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -78 + 15 - -18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/948 and 35\/36753644.\nAnswer: 110260932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 170*q**2 + 346*q - 182. Let c(l) = 4. Let f(v) = 2*c(v) + p(v). Factor f(o).\nAnswer: -2*(o - 1)**2*(o + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*j - 23*j - 6. Suppose j*m = -0*y + 2*y + 8, -4*y - m = 16. Put 3, 12, y, -5 in descending order.\nAnswer: 12, 3, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118590 and 11107930.\nAnswer: 33323790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.658 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q = -10, -4*q = 4*x - 96. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**2 + 2*t + 1. Suppose 3*u - 12*u = -936. What is the remainder when p(-4) is divided by -3*(1 - u\/12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 29025131?\nAnswer: 29025134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*x - 2*a, 5*x + 13*a - 18*a = 35. Solve k = -x*n - 4, -k + 8 = -n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -19. Suppose 0 = -f + 29 + w. Let t = f + 6. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 2. Let u be (-11 - 0)\/(-6 + (-5 - -12)). Let j(z) = 4*z + 5 + z - 9 + 15. What is u*q(v) + 2*j(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 2*k + 7. Let z be t(-5). Let q = z - 11. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 188. What are the prime factors of r?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3 + 4*r + 0*r**2 + 1560967*r**3 + 5*r**2 - 1560972*r**3 - r**2. Let w(j) = -j**3 + j**2 + j. Determine -q(i) + 4*w(i).\nAnswer: i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + a**4 + 2*a + 3*a**4 - 2*a**2 + 2*a**2 - 1 + 2*a**2 to the form v*a**3 + x*a + n*a**4 + d*a**2 + z and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 259610 = -12\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 302*m - 468. Is 47 a factor of x(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 809, 2, -1, 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/144 and -103\/896.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1809 and -47\/5308812.\nAnswer: 15926436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + ((-6)\/(-1) - 2). Suppose 7 = 4*y - 1. What is the second derivative of 4*v**2 - y*v**4 + o*v - 4*v**2 wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/2, 2, -4, 1.4 in descending order.\nAnswer: 2, 3\/2, 1.4, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1356 + -1364. Sort y, 0, 5, 3 in descending order.\nAnswer: 5, 3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56925 - 227699\/4. Suppose -3*n + 14 = -1. Which is the third smallest value? (a) -1 (b) k (c) n (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*g*m**2 + 3*g*m + 25739*g + 21054*m**2 - 4*m wrt m?\nAnswer: -88*g + 42108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*x**3 - 167*x - 4*x**2 + 204*x - 37*x + 48*x**3 + 0*x**2.\nAnswer: x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1386\/(-5775) + (-2457)\/75?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8396811.563 + -32.\nAnswer: -8396843.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 112.\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3413355 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) 0.0179 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*p - 3*p = a + 2*p - 14, 0 = 2*a + 10*p - 58 - 18 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*c + p + 2*p, 3*c - 12 = -3*p. Suppose 4*j = -3*o + 2*o - 8, c = 2*j + 5*o - 14. Sort j, 3, 5.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002801 to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**3 + 5*j**3 - 3*j**3)*(-2 + 2 + 2*j + (-3*j - 2*j - j)*(-12 - 77 - 12)) to t*j**4 + z + b*j + i*j**3 + h*j**2 and give t.\nAnswer: 3040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 6 - 28. Calculate the lowest common multiple of u and (-32)\/6*(-3)\/2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 3*r + 4*r)*(-1718 + 20285 + 2326 + 11231 + 10773 - 3902) as x*r + l and give x.\nAnswer: 77990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/5 (b) 0 (c) 4\/7 (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27483 from -2.688.\nAnswer: -27485.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165 and 924?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6*d = -d + 1030, -5*d - 409 = -2*v. Suppose -2*i = -5*i + v. What is i rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6565 - 8596 + 4993 = -147*a + 5267 for a.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 7*d + 33 = -5*d, -2*d = -r - 3. Let y = 17 - 16.6. Let o = 0.04 + -0.34. Which is the biggest value? (a) o (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15)\/(112\/70).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 4*o + 2. Let d(u) = -2*u + 1. Let z be d(-2). Let m be a(z). What is the units digit of (-4)\/(-14) - 216\/m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*x - 5*r + 15, 4*r + 16 = 0. Suppose -19*p + 10 = -x*p. Suppose 5*s = m + 405, 5*s - 4*m + p*m = 400. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {f: 4, i: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2)*q**6\/q)\/(q*q**(1\/5)*(q**(2\/3)\/q)\/q))\/(((q*q**(-1\/2)*q)\/q**3)\/(q\/q**3*q**(-1\/6))) assuming q is positive.\nAnswer: q**(112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*k + 6, 0 = 2*k - 4*k + t + 6. Suppose 0 = 5*s - k*s - 66. Solve -4*g = -3*d - 17, -3*d = g - 6*g + s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 1:06 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 12:59 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -705.0462 - -705. Let q = -0.0538 + f. What is the closest to -2 in 1\/2, q, 4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2) - (sqrt(2)*-3)**2)*2.\nAnswer: -37 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1663204.\nAnswer: -1\/831602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 10. Let p(g) = g + 3. Let j be p(n). What are the prime factors of (j\/(-9))\/((-4)\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000298454 to six dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 12, l: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 175 + -154. Let a be (-3)\/j + 358*(-5)\/(-35). What is the third derivative of 37*w**5 + 8*w**2 - a*w**2 + 4*w**5 wrt w?\nAnswer: 2460*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z. Let n(b) = -41*b - 41*b - 41*b + 134*b. Give n(m(x)).\nAnswer: 88*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301423 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 3*i**2 + 7108. List the prime factors of w(0).\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 4 = 5*l. Let f(q) = -3*q + 3. What is the units digit of f(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175559 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovrippzovzvorzrrvopp. Give prob of sequence vrr.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**3 + 2*a**2 - 2*a - 2. Let i(l) = -78*l**3 + 161*l**3 - 64*l**3 + 11*l**2 - 11*l - 10. Give 2*i(d) - 11*p(d).\nAnswer: -6*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 804 greater than 800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 320 + -455. Are g and -1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Let n(m) = -m**3 + 4*m**2 + 3. Let k be n(x). Suppose -j = -u + 4*u + k, 4*j + 5*u + 13 = 0. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1905610500 to the nearest one million.\nAnswer: -1906000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1110845946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mla when three letters picked without replacement from {m: 1, j: 1, r: 3, y: 3, l: 1, a: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 + 61*d - 13. Let b be l(20). Let j(v) = -15 - 8*v**2 + 7*v**2 + v**3 - 4*v**2 - 8*v. What is the remainder when 42 is divided by j(b)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -118.966?\nAnswer: -23.7932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 + 0)*(-5 + 0 + 6) + 56 - 76 + 83)*(-49*l**2 + 96*l**2 - 39*l**2) to q + j*l**2 + t*l and give j.\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/40 - 7140\/300?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + -3 - -4 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20.69 or -3\/35?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32915.38359 - 32915. Let p = w - 0.38. What is p rounded to four decimal places?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8922 in -31, -6\/5, -2, 0.4, 70?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13976 - -27265. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117855 by 6.\nAnswer: -39285\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {z: 1, r: 1, d: 1, s: 3, n: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 448 - p**2 - 1157 + 744. Give j(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1011 = -4*z - 115. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4041 - 4051. Let i(m) = m**2 + 6*m - 2. Give i(c).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 484 and 5367802.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/208031 and -46\/142337.\nAnswer: 2704403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/15, 21990, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.384113.\nAnswer: 0.1920565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792 is divided by 208?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 6503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 361746, 1446702, 3254962, 5786526, 9041394, 13019566, 17721042?\n\"Answer: 361652*s**2 + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + -1 + (4 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365224?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 2. Let q be x(8). Let b = q + 39. Suppose 2*d = 5*g + 34, -g - b = 5*d - 98. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 137*c**2 + 418*c - 4. Let h be v(-3). Put 6, 4, h, -5, 19 in descending order.\nAnswer: 19, 6, 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 4*n + 4. Determine w(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/(-8))\/((-95)\/(-8) - (-374)\/(-34)). Factor k - 1\/3*k**2 + 0 - k**3 + 1\/3*k**m.\nAnswer: k*(k - 3)*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 8*w - 31. Determine j(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 2222.\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619 + 579 = -8*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 3, -0.4, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 164*m + 486. Give b(-161).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462, 923, 1386, 1851, 2318?\nAnswer: 2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 26*w**2 - 58*w - 5. Let t be k(-28). Let i = -44 + t. Solve -4*x + 1 = -i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**4\/2 + 2*g**3\/3 + 2*g - 1. Let a(p) = -3*p**2 - 2*p**3 - 3 - 619*p + 619*p. Determine 2*a(m) + 3*c(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**2 - o - 14. Let g be k(-4). Let s = 19 + g. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 765832 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -x - 2, -x = 2*s + 2*x + 6. Let d(h) = -2*h + 9 + 0*h - 2 + 1 + 3*h. What is d(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**6\/120 + d**5\/6 + d**4\/12 + 7*d**3\/3 - 8*d**2. Is p(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -256, -391, -526?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**4\/4 - c**3\/3 - c**2\/2 + c - 669. Let d(v) = -8*v**3 + 5*v**2 + 5*v - 5. What is d(j) + 5*p(j)?\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13188, 4\/5, -0.01?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 4*z. Let t be m(-3). Let x(w) = -6*w + 2 - 1 + 2*w**2 + 2*w + t. Determine x(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 1943476*f**2 + 236069656896*f + 236067713424.\nAnswer: 4*(f + 1)*(f + 242934)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u + 3*l - 0, 5*u = -3*l + 49. What is the units digit of (-3 - 3)*(-148)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + h - 5*h)*(-3*h + 2*h + 2*h) + 3 - 3 + 2*h**2 + h**2 - h**2 - 3*h**2 + 3*h**2 + 0 + 0 as f + z*h + l*h**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 3:25 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 2*x + x**4 - 2 + 6 in the form s*x**4 + q + v*x + w*x**3 + m*x**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 4*t + 0 + 7\/6*t**3 + 1\/20*t**5 - 1\/2*t**4 - 2*t**2. Calculate the least common multiple of 6 and v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -72, -57, -36?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/755307 and -125\/138.\nAnswer: 34744122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**3\/3 + 25. Let r(w) = 7*w + 2 - 2 - 19*w. Calculate k(r(m)).\nAnswer: 144*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/99*(-8 - (-209)\/22). Factor 2\/11*g**2 + t*g - 16\/11.\nAnswer: 2*(g - 2)*(g + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21de - 2e?\nAnswer: -220c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7 = 5*h + 23, -h = 2*u - 6. Suppose -21 = -p + u*l - l, -3*p + 4*l = -83. Suppose -f = -0 - p. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21761926 less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -8731?\nAnswer: -4\/8731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 4 (c) 1\/9 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.416879 times 59\nAnswer: 24.595861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*h**3 + 266*h**3 + 186*h**3.\nAnswer: 626*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(85\/34)*-10. Sort 3, s, -377 in ascending order.\nAnswer: -377, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -20*o + 24*o - 132, 186 = 5*o + 2*z. Solve 397*j = 405*j + o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/9 - 2626*q**3\/9 + 858032*q**2\/9 + 865928*q\/3.\nAnswer: 2*q*(q - 658)**2*(q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19795849134 + 19795839654.007491. Let a = n + 9480. Round a to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8 and -408?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17422 and 201655.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 divided by 1031222?\nAnswer: 101\/1031222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108866, 0.1, 5\/3, 5, -0.4 in decreasing order.\nAnswer: 5, 5\/3, 0.1, -0.4, -108866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 9.2. Let j = -0.42 + 3.42. Which is bigger: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*t - 3. Let o be 27*t*(-8)\/(-12). What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (144\/(-15))\/(6\/16 - 3240\/1600). Factor 512\/11 - d*q + 2\/11*q**2.\nAnswer: 2*(q - 16)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 5 - -3) + 79. What is the highest common factor of 240 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 14 = 2*m. Suppose -5*a + 2*j - 5*j - 16 = 0, 0 = -3*a - 2*j - 9. Put a, -4, m, 0 in decreasing order.\nAnswer: m, 0, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113202 (base 4) in base 9?\nAnswer: 7614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 33 + 13 = -4*v, 5 = 4*w + v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -2*n**3\/3 - 4*n**2 - 6*n + 6. Suppose y(u) = 0. Calculate u.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*b = -13 + 35, 0 = 5*i + 2*b. Calculate the least common multiple of i - 7\/(21\/(-48)) and 74.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -127, -123, -119, -115, -111?\n\"Answer: 4*j - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 + 3*b**4 - 4*b**4 - b**4 - 2*b**4 + 2*b**4 + (-3*b**2 + 3*b**2 + b**2)*(-2 - 3*b**2 + 2).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvzg when four letters picked without replacement from {v: 11, z: 4, g: 3}.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/12)\/(-19)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-170)\/51*48\/(-10). Solve -4*q - x - 4 = -2*x, -3*q + 4*x - z = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4950 and 19155.\nAnswer: 6321150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - b - 4*b)*(2*b**3 + 0*b**3 - b**3) + 2*b**4 - 3*b**4 - 3*b**4.\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-2 + 6))\/20.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 70*t**2 - 205*t + 6738. Let d be a(-74). What is w in 2\/5*w**d - 4\/5*w**3 + 0 + 1\/5*w**5 - 2\/5*w**2 + 3\/5*w = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 25\/3*a**2 - a**3 + 59\/3*a + 31\/3 = 0?\nAnswer: -1, 31\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*w = -22 + 1, -4*w - 4 = -a. What is the nearest to a in 0.08, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**5 + 6476*y**4 + 5096764*y**3 - 237570944*y**2 - 490406286*y - 247745052 = 0?\nAnswer: -1641, -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + -7 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -6 - 4\/3*h**3 + 0*h + 0*h**4 + 0*h**2 - h**5. What is the third derivative of d(g) wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1305, 1745, 2477, 3501, 4817, 6425, 8325?\n\"Answer: 146*g**2 + 2*g + 1157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 12:58 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47686?\nAnswer: 2, 113, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 - -82. Let t(q) = -17*q + 74. Is t(v) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 1 (c) 1.6 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 14. Let y = -0.1 - 0. Let o = 1.1 + y. Which is the nearest to 0? (a) m (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3dda (base 16) in base 4?\nAnswer: 3313122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -171641 and 5?\nAnswer: -858205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t + 180. Calculate the least common multiple of 1000 and r(20).\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -173*y + 33. Let d be o(4). Let g = d - -693. Suppose h = -4*h + 510. Calculate the highest common factor of g and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20469 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d - 2. Let r(c) = 2*c + 1. Determine -4*i(h) - 3*r(h).\nAnswer: 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1, -0.4, -4, -45?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 89 = -2*n + 76, 0 = -75*q + n - 376 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6395, 12739, 19089, 25445, 31807, 38175?\n\"Answer: 3*a**2 + 6335*a + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 15, -7, 1, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 13 = 3*p - 0*p, 6*p - 38 = 4*a + 10*p - 18 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*g**2*q - 265*g**2*u - g**2 + 4*g*q*u - 68*g*q - g*u**2 wrt u.\nAnswer: -265*g**2 + 4*g*q - 2*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -4 - (71 - 63) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1088) - (sqrt(1088) + 2 + -2))**2 - ((sqrt(425) + -3)*6)**2).\nAnswer: -15620 + 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from ofa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -11*m - 15*m + 6 - m**2 + 5 + 12*m. Is r(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 23 = 5*d. Let w(m) = d*m + 8 - 8 + 0. Let h(a) = -2*a**2. What is w(h(g))?\nAnswer: -46*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 0*x**3 - x**3 - x - 5*x**4 + 6*x**4. Let n(q) = -7*q**4 + 2*q**3 + 2*q - 4. Let a(s) = -n(s) - 2*v(s). Differentiate a(z) wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 3:29 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -1)*6\/(-8). Suppose w*f + 0*f - b = -2121, 3518 = -5*f - 4*b. Let r = -503 - f. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/(2\/(-8)) + -17. Let z(p) = -p**3 - 16*p**2 - 14*p + 12. Let q be z(k). Put 6, q, -5, -1 in increasing order.\nAnswer: -5, q, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (3 + 6 + -4) - 11 - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 736 (base 8) to base 7\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1180\/3 - 393. Which is the closest to 2? (a) -0.04 (b) 3 (c) s (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -202, 0.2, 1, 0.5, 942 in descending order.\nAnswer: 942, 1, 0.5, 0.2, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1232)\/(-168)*((-6)\/10)\/(4\/10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -12. Suppose 3*a + r*i = i, -a = -i. Does 8 divide (0 - -30)*(1 - a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.36, 4, -4, -5\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7 + 0*l**2 - l**2 - 7 + 9*l + 4 + 0*l**2. Calculate h(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -7. Calculate the common denominator of 73\/d - 3 - 3 and (8\/54)\/((-3)\/90).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*l + 5*l - 9, 0 = k - 3*l - 8. Let u(j) = -3*j + 5. Let c(i) = -3984 + 1995 + 1990. Let p(v) = k*c(v) - u(v). Let h(m) = -2*m**2. Give p(h(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2284, -9197, -20738, -36907, -57704?\n\"Answer: -2314*m**2 + 29*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = 0, 0 = 5*i - 0*y - 2*y + 22. Which is bigger: i or -28\/9?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 164\/1003 (c) -0.2 (d) 16 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 35*k + 5. Let s be b(-3). What is s rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 508 = 5*b, 5*b - 395 - 93 = -3*l. Calculate the highest common divisor of b and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 3009.\nAnswer: 240.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(-17)*((n**(2\/13)\/n*n)\/n)**30 assuming n is positive.\nAnswer: n**(-2752\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + 4.05. Suppose 0 = -h + 5*y - 13, -5*y = 3*h - 2*y + 3. Put -0.4, h, t in descending order.\nAnswer: t, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-2*(-10)\/8. Let b(j) = -j**3 + 4*j**2 + 3*j + 7. Let x be b(y). Let s = -0.3613 + -0.0387. What is the closest to 0 in s, x, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105983238?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22330 and 161385?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 6}. What is prob of sequence aa?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 115*a. Let h(c) = -4*c**2. Calculate f(h(n)).\nAnswer: -460*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 295156000 to the nearest one hundred thousand.\nAnswer: 295200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -28*h - 4. Let v(m) be the second derivative of -m**3\/6 + 31*m - 2. Calculate b(v(j)).\nAnswer: 28*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200737?\nAnswer: 47, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16890646, 16890627, 16890608, 16890589, 16890570?\n\"Answer: -19*z + 16890665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -28) + -1 + -1 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, x: 8, z: 1, u: 2}. Give prob of sequence xc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89312 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116 and 14?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 4*a - 12, 5*m + 5 = 4*a - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - t**4 + 17*t**2 + 127*t - 254*t + t**2 + 128*t in the form g*t**2 + a*t + y + s*t**3 + q*t**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 68416344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 5, -5, 1 in ascending order.\nAnswer: -5, 3\/5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-132)\/(-13) - (-4)\/(-26))\/(-9). Which is smaller: r or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m*(m**(3\/8)*m)\/m)))\/(((m\/(m\/m**(-3\/5))*m*m)\/m)\/m))**30)**(-25) assuming m is positive.\nAnswer: m**(-5925\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*-1 + 2 + 2.\nAnswer: -12*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 7. Let a be v(-5). Let y be ((-3)\/a)\/(18\/24). Suppose 30 = 2*u + y*l, -5*u = -4*l + 2*l - 110. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 415 and 0.3.\nAnswer: 124.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3974 times 3.4?\nAnswer: 8.15116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 35\/4*m**2 - 25\/2*m + 6 + 1\/4*m**4 - 5\/2*m**3 = 0. What is m?\nAnswer: 1, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -102*k**5\/5 + 7*k**4\/4 - 16*k**3\/3 - 15*k**2 + 2111. What is the third derivative of t(c) wrt c?\nAnswer: -2448*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10*u + l - 37 = 0, 20 = u - 4*l. Solve 0 = -2*t + 4*y + u, y = 5*t + 12 + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14078? (a) -1 (b) -4 (c) -2\/55 (d) -0.5 (e) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2 = 3*a + 5*y, -3*y + 1 = 4*a. Let c(h) = 11*h**2 + 2*h - 3. Let s(o) = -5*o**2 - o + 2. Let d(p) = c(p) + 2*s(p). Determine d(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((3\/(-30))\/((-2)\/(-4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(2299) + -4) + 6*(-3 + -1 + sqrt(2299)).\nAnswer: 11 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1140 and 3308.\nAnswer: 942780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from nsnbbnsbssnnnnsbn.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*a = -99*a + 10*a + 1616 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*w - 7 = 90*w + 22 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9056)\/(-40) + (-2)\/5. Is 227 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7611147 to the power of 1\/2, to the nearest integer?\nAnswer: 2759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 2*p - 3. Let b = -5 + 4. Let u be 12\/(-24)*(b + -9). Let l be d(u). Solve 2*k + 2 = l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 404909\/36 - 11249. Find the common denominator of n and 25\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/29, -4, -32?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.1 - -0.8. Let o = 0.7 - q. Let i = 1.7 - 1.8. What is the second biggest value in -0.2, o, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -13145?\nAnswer: -13140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1745493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3.5*156135\nAnswer: -546472.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 17 + 10 = -4*x, 0 = 4*n - 4*x. Let t(k) = -k**2 + 5*k + 2. Let d(c) = 2*c**2 - 11*c - 4. Let p(u) = 4*d(u) + 9*t(u). Calculate p(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2143159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*s**3 - 3897*s**3 + 4 - 4 + s**2.\nAnswer: -3514*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1192, 4719, 10606, 18859, 29484, 42487, 57874, 75651?\n\"Answer: z**3 + 1174*z**2 - 2*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*f - 4*g, 8*g = 5*f + 3*g + 15. Let s = -6 - f. What is the derivative of 3*v**2 + v**s + 2*v**2 - 5*v**2 + 2 wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -78, -53, -40, -45, -74, -133, -228, -365?\n\"Answer: -u**3 + 32*u - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Let t = -0.3 + m. Let z = 103 - 99. Sort t, 0, z.\nAnswer: t, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z**2 + 17*z - 21. Let c(s) = -15*s**2 - s**2 + 2*s**2 - 26*s + 32. Let t(o) = 8*b(o) + 5*c(o). Factor t(x).\nAnswer: 2*(x - 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/35 + -54\/595. Which is the second smallest value? (a) 7 (b) 0.04 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -4, 12, -1, 8 in ascending order.\nAnswer: -4, -2, -1, 0, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (9 + -6 + 5 - 13) - (-8 - -5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + 1*sqrt(136)*-6)\/(sqrt(392) - -3*sqrt(392)).\nAnswer: -5*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 3.5. Let l = 114407\/75852 + -3\/8428. Let f = l - 11\/9. What is the biggest value in f, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*w - 18 + 4, -3 = -w - s. Let g be (-168)\/(-30) - w\/5. Solve 6*r = 4*r - 2*j - g, 11 = -3*r - j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13169324 less than 13169321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 46*x**2 + 160*x - 1000. Calculate s(7).\nAnswer: 2374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/44 and 107\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 989830243 + 1.126.\nAnswer: 989830244.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -33. Let q(j) = -6*j + 5. Let d be q(b). Does -0.1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**4\/12 - w**3\/3 - w**2. Suppose 3*l - 2 = 4*l. What is i(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72\/5 or -1.449?\nAnswer: 72\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936067 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73165892?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + i - 6, 0 = 2*p + 3*p + i + 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 328\/(-18) + 8\/36. Find the common denominator of 65\/(-26) + (-136)\/j and (-21)\/(-4)*2\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141200.\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -4 (c) -5\/6 (d) 204 (e) 1 (f) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.4 (b) -112 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -432700 - -5?\nAnswer: -432673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r**2 + 45*r**2 + 510879 - 510879.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**6\/10 + 21*a**5\/4 - 323*a**4\/4 + 289*a**3\/2 - 171*a. Suppose y(p) = 0. What is p?\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 + 16*a**3 - 4 to j + s*a + t*a**3 + d*a**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5287797 is divided by 600?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k - 9. Find the common denominator of 39\/5 and k - (2 + 16\/(-6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/9)\/(p*p\/p**9*p) assuming p is positive.\nAnswer: p**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 11*c - 31. Differentiate -27 + 2*l**3 + 14*l**c + 2*l**3 wrt l.\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1924 and 411281?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 3.7. Let i = -16 + 20. What is the closest to 0 in -1\/9, q, i?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2158*u - 5*u**3 + 6*u**3 - 1383*u - 749*u.\nAnswer: u**3 + 26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -1335, -4659, -11073, -21591?\nAnswer: -37227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59651.\nAnswer: 59651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 38.\nAnswer: 2, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/((1\/1)\/(-1)). Let j be q\/(-9) - 4\/18. Suppose 14*x = -9*x + 18*x. Is x smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -781, -1576, -2371, -3166, -3961?\n\"Answer: -795*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sisi when four letters picked without replacement from csscissccicc.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 9*x + 4*x - 372, -x = -2*j + 388. Let a = j + -82. Suppose 119*z - a*z = 20. Are z and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*v - 3*v - 45 = 0, 69 = 5*x - 3*v. Calculate the remainder when 42 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 209 + 209)*(2*y**3 + y**3 - 4*y**3 - 3*y**3 - 3*y**3 + 4*y**3 + (2 + 2 - 3)*(-3*y**2 + 3*y**2 - 2*y**3) + 0*y**3 + 15*y**3 - 3*y**3).\nAnswer: -14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(1 + sqrt(2) + (sqrt(6) + sqrt(6) + sqrt(18)\/sqrt(3))\/sqrt(3)) + (-2*(sqrt(12) - sqrt(48)))\/(sqrt(60)\/sqrt(90)) + -3)*-4)**2.\nAnswer: 2240*sqrt(2) + 3984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**2 - 2. Let i(m) = -4*m**2 + 1. Let h(c) = 6*i(c) + 3*s(c). Let w(b) = -414*b**2. Determine h(w(z)).\nAnswer: -514188*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1854*z - z**2 - 1854*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(2057) + 0) - 4*4*sqrt(2057)) + (-5*(-2 + sqrt(2057)) - (2 + (3*sqrt(2057) - sqrt(2057)) + sqrt(2057) - sqrt(2057) - sqrt(2057))))**2.\nAnswer: -4752*sqrt(17) + 1499617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, u: 1, f: 1, a: 2}. What is prob of picking 2 f and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -110, -240, -452, -740, -1098?\n\"Answer: a**3 - 47*a**2 + 4*a - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1010 - -1009.3. Which is the nearest to g? (a) 1 (b) -15 (c) -5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(980) + (sqrt(980) - (sqrt(980) - 1*sqrt(980))*6))*1)\/((sqrt(240)*4)\/((2*sqrt(48))\/sqrt(8) + sqrt(6)))*2.\nAnswer: 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y + 3. Let x(g) = -4*g - 2. Suppose -4*a - 5*v - 1 = -6, 2*a + 3*v = 1. What is a*s(h) + 8*x(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113052052 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 16 = 4*t - 5*q, -4*t + 2*q = -16. Suppose 0*j + 58 = -2*f + j, -t*j + 58 = -2*f. Let i = f + 34. Put i, -4, -2, -1 in decreasing order.\nAnswer: i, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252 = 58*p - 22*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 m when three letters picked without replacement from wmwwwwm?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o - 5*o**2 + 5*o + 10*o**2 + 5*o in the form z + r*o + k*o**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 164303536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/12 - 2*a. Let p(r) = 9*r**2 - 4*r. Let i(g) = -63*g**2 + 27*g. Let c(s) = 4*i(s) + 27*p(s). What is c(z(y))?\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 + -179. Let a = -75 - q. Differentiate 41*k**a + 1 + 0 + 5 with respect to k.\nAnswer: 164*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-17))**(-22))**(-5))**(-1\/73) assuming c is positive.\nAnswer: c**(-1980\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 378*r**2 - 46882*r + 1229. Determine y(124).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, 698, 2584, 6250, 12290, 21298, 33868, 50594?\n\"Answer: 99*g**3 - g**2 + 10*g - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 16 = -200. Suppose 4*q - 2*k - 34 = 90, -2*q = 3*k - y. Calculate the remainder when q is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2 - -1) + 3)*-2. Put 3, g, 2 in increasing order.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*o*w**3 - 40448*o*w**2 - 82240*o*w + 4*w**3 + 345*w wrt w?\nAnswer: 450*o*w - 80896*o + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 10.2 (b) 3 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 5*p**2 - 6*p - 3. Let o be f(-4). Suppose o*c + 59 = 509. What is the greatest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284583 to the power of 1\/2, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110531270?\nAnswer: 2, 3, 5, 149, 248441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 31 = 5*p, 3*p + j = 56 - 74 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from tstoottttttstt.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(1\/(-1)) + 51\/17. Suppose -q + 0*q = -r*n + 439, n - q = 145. Calculate the highest common divisor of n and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - -0.55. Let p = -4186.76 + 4186. Which is the biggest value? (a) -3 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 18*y**3 - 4*y**2 - 45*y - 4. Let o(x) = x**3 - x**2 - x - 1. Let g(f) = -l(f) + 4*o(f). What is the second derivative of g(k) wrt k?\nAnswer: -84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-17))\/i)\/i*i**(5\/9)\/i*(i**(2\/13)*i)\/i*i*i*i**(1\/12) assuming i is positive.\nAnswer: i**(-7585\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131207\/30 - -8741\/2. Let x be (-6 - -4)\/(2\/3). Which is bigger: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44726961 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68\/18 - (-2)\/9. Let l = -11688 + 11693. Solve 3*n - g - 11 = 0, -l*n + r*g + 21 = g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231693, 926626, 2084861, 3706404, 5791261, 8339438, 11350941, 14825776?\nAnswer: 18763949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 1)\/(-52 + 51). Let r(z) = 16*z - 74. Let u be r(6). Put u, 5, y in descending order.\nAnswer: u, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 35361 (b) -4 (c) -0.5 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/(28305\/(-12))*125\/100?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 25. Suppose b = -0*b + g. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**6*n + 234*d**3*n**3 + 448*d**2*n**3 + 2*d*n**3 - 2*n**2 wrt d?\nAnswer: 480*d**3*n + 1404*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c**2 + 2 - 2 + (-5*c + 5*c + 2*c)*(4*c + 0*c - 2*c))*(-2*c + 2*c - 7*c) as w*c**2 + n*c**3 + h + m*c and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(196) - (sqrt(196) + sqrt(196)*-1))\/sqrt(7))\/sqrt(4))**2 + (0 + sqrt(7) + 2)*3.\nAnswer: 3*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + sqrt(300))**2 - sqrt(36)\/(sqrt(12) + 4*sqrt(12)))*3.\nAnswer: 891*sqrt(3)\/5 + 2709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 144 + 22413?\nAnswer: 22560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/2*(-16)\/(-6). Suppose 4*x = x + o. Solve -4*i + 12 = -x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.78128373 rounded to one decimal place?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 7*f**2 + 9*f - 1. Let d(x) = 10*x**2 - 2*x + 4. Let a be d(2). Suppose a*k = 48*k - 48. Give z(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-22) + (-380)\/209. Let m = z - -6. Solve -5*j + 3*c = 20, 2*j - 2*c + 8 = m*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53115802500 rounded to the nearest one million?\nAnswer: 53116000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gll when three letters picked without replacement from {l: 9, g: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 206, 9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 11 + 31 + -13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -396056 plus 20.09?\nAnswer: -396035.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 422, 531, 640?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 872401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10541739.\nAnswer: 3, 13, 137, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -4*l + 617*n - 612*n, 2*n = 3*l + 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 527809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - -0.7. Let z = -10 + 9.96. Let c = -2.04 - z. Put c, 0.3, g in ascending order.\nAnswer: c, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22883*j**2 - 179547?\nAnswer: 45766*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -639*n + 661*n = 110. What is the biggest value in -2\/5, n, -3, 1\/2, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 3)*(-y**2 - y**2 + y**2)*(-2469*y**2 - 1061*y**2 + 5127*y**2) in the form n*y**2 + m*y**3 + k + r*y + b*y**4 and give b.\nAnswer: -3194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -20. Let h = 3 + x. Suppose 0*v + 0 - 3\/2*v**h + 0*v**2 + 0*v**3 + 3\/2*v**5 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1265 = -2*v + 5*v + 2*u, 2*u = 5*v - 2103. Let a = 427 - v. Let q = 5 - 4. Put a, -4, 3, q in descending order.\nAnswer: a, 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 69*g**5 - 81*g**4 - 7077*g**3 + 7101*g**2 + 7008*g - 7020 = 0?\nAnswer: -10, -1, 1, 234\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 869, 9, -117 in descending order.\nAnswer: 869, 9, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b3 + 115692?\nAnswer: 115755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4300204123 (base 5) to base 14\nAnswer: -12a093d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (2\/(-8))\/((-15)\/(-54)*(-226)\/(-29380))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 53740\nAnswer: -53740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228 + -215 - (8 + -2 + 5 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2062\/6 - (-6)\/(-9). Suppose -g - 169 = -4*y. Let f be 2\/3 - y\/(-6). Solve -5*t - f = -2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*u = 166*u - 6*u - 4028 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y + 2*u = -7, 4*y - 2*u = 10. Suppose 0 = 3*a + y*c - 228, 6*c - 8*c = -8. What is the highest common factor of 27 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28a + 272?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/11)\/(2\/(-90)) + -4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 967.99053 + -968. What is o rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b - 4*d - 14, -3*d = -2*b + 13. Solve -3*n - 23 = -b*q, 3*n - 3 = -2*q + 2*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1760\/1)\/11)\/(1*-6*5\/15)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 354.38 (c) 89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3440256g to tonnes.\nAnswer: 0.0000003440256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -7\/5 (b) -0.1 (c) -0.2 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1375 + 4*c - 6*c + 1797 - 782 + c + 2*c - 2*c + (-3 + 3 - 2)*(-3*c + 2*c - c).\nAnswer: 3*c - 360","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 62 = -29*j. Let d(q) = -7*q**3 + q**2 - 2*q - 2. Let k(v) = 7*v**3 - v**2 + 3*v + 2. Calculate j*k(h) + 3*d(h).\nAnswer: -7*h**3 + h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 1 - (1 + -95)*2. Let s = 52 - l. Let m = s - -209. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.5, 2\/9, 109.655 in increasing order.\nAnswer: -0.5, -1\/3, 2\/9, 109.655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-656)\/(-20) + 3\/15. Suppose 5*d - 78 + x = 0. Is 966\/d*21\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20080 (base 15) in base 14?\nAnswer: 28d2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 91. Let w(c) = c**2 + 8*c - 4. Let g be w(-9). What is the greatest common factor of g and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 882 or -222\/707?\nAnswer: -222\/707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*n**3 + 548\/5*n**2 + 73984\/5 + 7616*n.\nAnswer: 2*(n + 2)*(n + 136)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -528 and 11594 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b**5 + 4*b**5 + 10*b**5 + 11*b**5 + (2*b**4 - 3*b**4 + 2*b**4)*(-2*b - 2 + 2).\nAnswer: 16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - -40 - (-14 + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*i - 84*i - 24 = 4. Let s(d) = -4*d + 4 - 5 + 7*d + 4. Give s(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**5\/15 - 5*o**4\/24 - o**3\/6 + o**2\/12 - 3*o - 9. Let b(t) be the first derivative of z(t). Factor b(a).\nAnswer: -(a + 1)**2*(8*a - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/715 and 7\/3446025.\nAnswer: 44798325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3214, 6430, 9646, 12862, 16078, 19294?\n\"Answer: 3216*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (1740\/(-406))\/((-15)\/42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108571 or -108570?\nAnswer: -108570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**2*k**3*v**3 + 5*g**2*k**3*v + 2*g**2*k**2*v**2 - 61*g**2*k**2*v + 2*k*v**3 wrt k?\nAnswer: 12*g**2*v**3 + 30*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/4, 23.09, -7, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6825 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106 + 101 - 218 + 30*p to the form k + t*p and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4 - 20. Let x = y + 8. What is the lowest common multiple of 10 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**12\/u**(-8))**(3\/4)*(u**(2\/3)*u*u**(-5)*u*u)**(3\/2) assuming u is positive.\nAnswer: u**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24923702 * -0.6.\nAnswer: -14954221.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/6*(-4 - -2) + 0. Suppose -x + b + 7 = 0, -5*x + 10*x = -r*b + 5. Solve x*o - 7 = -15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2192 is divided by 459.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-9 - (-84 - -93 - (13 - 2)) - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 4771?\nAnswer: -6\/4771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 14 - 3 = 0. Solve -4*j = -5*w - 13, -5 - l = -3*j + 5*w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-30)\/2)\/30)\/(3 - 9\/2). Let y = -0.023 + 0.523. Which is the closest to 0.1? (a) -2\/5 (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 h, and 1 f when three letters picked without replacement from ffftttth?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-9))\/(2\/2). Let v be (-4)\/3 - 120\/(-90). What is the second biggest value in 2, d, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33046059, -66092112, -99138165, -132184218, -165230271?\nAnswer: -198276324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -665? (a) 10\/7 (b) 0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/(-35) + 4\/14. Let p(o) = 2*o + 6*o**2 + 2 - 3*o**2 - 2*o**3 + 0*o**3. Is p(l) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-3)*1820\/(-2240) - 2\/(-6). Sort -25, -1\/3, -2, -0.3, u in decreasing order.\nAnswer: -0.3, -1\/3, u, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 721605 and 2330883.\nAnswer: 1977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = l - 2*c, 2*c + 8 = -0*l - l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -2*y**5\/5 - 2*y**4\/3 + 186*y**2 - 363*y. Differentiate m(f) with respect to f.\nAnswer: -24*f**2 - 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154719312 a multiple of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*a + 43 = 157 + 861 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 10*j - 200, 3930*c - 3935*c = -4*j + 80 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9217\/(-17366) + 8\/16 - -1. Let s = o + -10\/457. Is s > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkflrkkrtrrrkr. What is prob of picking 1 t and 1 l?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53825\/(-10)*(-51 + 83)*(-1)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (798\/(-4256))\/(1\/8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7360 and 167210?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 13 = -5*d, c - 138 = -142 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/(-160))\/((-145)\/(-232))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/9 + 6620*d\/9 + 6616\/9.\nAnswer: 4*(d + 1)*(d + 1654)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*t - 74 - 73, -3*w = -t + 35. Solve 2*r + 4*i - t = 5*r, 0 = -3*r + i - 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -742 != -746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i - 2. Let t(w) = -w**2 - 3*w - 3. Let z(j) = 3*f(j) - 2*t(j). Let m(b) be the second derivative of b**3\/2 + b. Determine z(m(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(4 + (-315)\/80). Let q = 1279\/340 + -41\/17. Find the common denominator of q and 438\/8*g\/(-24).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + (3*sqrt(114)*6)\/(sqrt(54) - sqrt(864) - sqrt(6))*-4)*-6)**2.\nAnswer: -7776*sqrt(19)\/5 + 894564\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = r - 150. Suppose -s - r = -2*w, w - 3*w - 5*s - 15 = 0. Solve 5*o - w*h - 5 = 2*o, -h - 3 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 22 = 5*q. Suppose -10*y = -q*y. Put y, -3, 1, -2 in decreasing order.\nAnswer: 1, y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-10) - 72\/(-30). Suppose 0 = -c*a + 2*a + 1, 3*a - 1395 = -4*i. Suppose -d + 4*d = 5*l + i, 4*d + 5*l = 429. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.255 * -14\nAnswer: 3.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -114615, -114605, -114585, -114549, -114491, -114405, -114285?\n\"Answer: c**3 - c**2 + 6*c - 114621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1827123?\nAnswer: 3, 227, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160894*u**6 - 1706*u**5 - 147233*u**2 - 260*u?\nAnswer: 19307280*u**3 - 102360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 6 + -2 - 33. What are the prime factors of (-220)\/(-25)*j\/(-4)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7429)\/7866 - 1\/(-2).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -104*s - 11. Let r(i) = -i + 1. Let z(u) = -6*r(u) + t(u). Is z(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*b - 6. Let p(g) = 14*g - 4. Let c be p(b). Let l(q) = -41 + 18 + q + c. What is l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5\/3 - 2*j**4\/3 - 25*j**3\/3 + 2*j**2\/3 + 8*j = 0?\nAnswer: -4, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuauuuuauuuauu. What is prob of sequence auu?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -870 + 798.4. Let k = -72 - s. Which is the closest to -1? (a) -1 (b) -2\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28*((-1)\/2 - -1). Suppose -4*p + 220 = 36. What is the remainder when p is divided by (-6)\/(1*-3) + b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 349*i**2 + 0*i**3 - 349*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1538888134 + -5?\nAnswer: 1538888128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 312? (a) -2\/13 (b) -74.84 (c) -1.7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 146*a + 1017. Give m(139).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) + 0 + 0. Let r be (3\/(-8))\/((-20)\/16). What is the third biggest value in r, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72*a + 2 + 25*a + a)*(-5 + 3 + 3) in the form t*a + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(75) + -1 - 2*(sqrt(3)*3 + sqrt(3))) + ((sqrt(3)*-2)**2*-6 - (-3 + sqrt(147))).\nAnswer: -71 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b + 32. Give p(-8).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25231319689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -377*z**2 - 711 wrt z?\nAnswer: -754*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1573\/735 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/67 - 346\/469. Let g(h) = -23*h - 2. Let d be g(-1). Let i be d\/6 - 3\/(-6). Sort p, i, 5 in ascending order.\nAnswer: p, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 81264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -2\/15 (c) -2\/19 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*p - 745*p - 12 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - 13e50?\nAnswer: -13e3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 5.32.\nAnswer: -2.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmd when three letters picked without replacement from zdcmmmc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -16. Let z(l) = -l**2 + 9*l + 15. Let q be z(10). Suppose 92 = 2*s - 2*f, s = q*s + 5*f - 202. Calculate the highest common factor of s and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -21. Suppose 4*v - 29 = -x, -b*x + x = v - 20. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0 (c) 2 (d) -7.7 (e) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 6:19 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208, 0, -14, 1 in decreasing order.\nAnswer: 208, 1, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8753, 17703, 26627, 35513, 44349?\nAnswer: 53123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q**3 + 142*q**2 - 142*q**2)*(-53 + 6*q - 3*q - 39) in the form l + r*q + s*q**4 + m*q**2 + b*q**3 and give b.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r - 80 = c, -4*c = 4*r - 80. What is the greatest common factor of 275 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 84?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 946*y + 173*y - 3357 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 324*b. Let l(q) = 17*q. Let u(x) = 5*a(x) - 96*l(x). Suppose -2*p + 2*f = -36, 17 + 73 = 5*p + 3*f. Let t(z) = z. What is p*t(v) + u(v)?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.63 + 0.37. What is the second smallest value in 2, c, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1859203, 3718329, 5577455, 7436581, 9295707?\nAnswer: 11154833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 850.4139 weeks to hours.\nAnswer: 142869.5352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 + l**2 + 4*l**2 + l**2.\nAnswer: 6*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -63*u**2 - 1259*u - 16. Give i(-20).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2 (b) -14 (c) -0.5 (d) 5.1 (e) -14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 181510661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 51. What are the prime factors of ((-3)\/5)\/(1\/q)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 6*t - 1. Let o be m(-5). Suppose o*i - 62 = -3*g, -2*i - 5 = -3*g + 27. Let s = 10 + 15. What is the remainder when s is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80352837634 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52154725 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**3*t*x - 50*p**3*x + 14*p**3 - 11*p**2*t*x + 375*p**2*x - p*x wrt p?\nAnswer: -18*t*x - 300*x + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -0.5. Let z(p) = -48*p + 2733. Let q be z(57). Which is the biggest value? (a) y (b) q (c) -0.5 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14334848, -28669687, -43004526, -57339365, -71674204, -86009043?\n\"Answer: -14334839*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-10)\/(o*o**(-4)))\/(o**(-7\/2)*o**(-2\/7)) assuming o is positive.\nAnswer: o**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 17*s**2. Let j(l) = -5544886*l. What is j(v(n))?\nAnswer: -94263062*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {x: 1, w: 1, b: 1, j: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b**3*x - 30694*b**3 - 4037110*x wrt b.\nAnswer: -12*b**2*x - 92082*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 11*h + 4. Let y be m(11). Let x be (174\/y)\/(3\/1120). Suppose x = 2*p + 1806. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3843 - 3844.61. Which is the fifth smallest value? (a) 0.3 (b) 0.5 (c) 7 (d) t (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-91)\/(-45) - (-55 - (-10792)\/190). Let 2\/9*t**3 - h*t**5 + 0*t - 4\/3*t**4 + 0 + 4\/3*t**2 = 0. Calculate t.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/690 and -127\/180.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*f**2 + 209*f - 209*f)*(-2 - 1 + 5) to i*f + z*f**2 + j and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -55.954. Let u = y + -0.376. Let j = -0.13 - u. Is 0.3 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 44*u**2 + 9*u - 14. Let m be f(2). Suppose -m*h + 176*h + 120 = 0. Solve -5*c + 2*r + 3*r + h = 0, -4*c + r + 21 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47067 minus -2.3?\nAnswer: -47064.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010011101100 + 10101001010?\nAnswer: -11111110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49612*v**3 - 90965 wrt v.\nAnswer: -148836*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 192?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.119 + 3.881. Which is the second smallest value? (a) v (b) 0 (c) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1192239985 = -7*i + 10*i, i + 2384480005 = 4*n. What is n rounded to the nearest 1000000?\nAnswer: 596000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7580357 + 0.758. What is g rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 i, and 2 y when four letters picked without replacement from ijqiqiqizqjjiysyjqyj.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f + 8. Let r(z) = 132*z - 352. Let d(j) = 2*r(j) + 88*x(j). Let c(l) = -2*l**2. Determine d(c(v)).\nAnswer: -176*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1468193 and 0.3.\nAnswer: -1468192.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 7*f**3\/5 - 13*f**2\/5 - 8*f\/5 + 12\/5 = 0.\nAnswer: -1, 6\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -382, 2, -7, -1 in descending order.\nAnswer: 5, 2, -1, -7, -382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*v + 7 = 0, r + 4*v - 3 = -8. What is the units digit of (-4 + 1)\/r + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - (-1 - (-10 - (-4 + -7))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 + 2*q**2 + 2*q**2 + (-q - 3*q + 2*q)*(-2*q + 0 + 0) + (-18 + 9*q + 18)*(2*q - 3*q - 3*q).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 913.9 and 0.2.\nAnswer: 182.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 8:47 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.5 (b) 30 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/3)\/((-12)\/18). Let q = n - 8. Suppose 2*v + 12 = q*v. Solve j = v*o - 1, j - 3 + 4 = 2*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - ((-8010)\/150 + 2\/5).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1596425\/102 - -15651. Calculate the common denominator of t and 41\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/2 + 11*w**2 - 109*w\/2 - 65 = 0. Calculate w.\nAnswer: -26, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 12*t**2 - 12*t - 8. Let i be 9\/(-12) - 220\/(-16). Let k be w(i). Solve 9*d = 5*r + 4*d + 10, -10 = 4*r - k*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - v**4 + 14*v**4 - v**3 - 12010*v - 15 + 12009*v - 2*v**2 to p*v**2 + c*v**4 + t*v**3 + s*v + f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*w = 38*w + 399. What is the remainder when 42 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -20*j + 24. Does 34 divide j\/9 + (-1168)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1294*u**2 - 72*u + 44. What is o(2)?\nAnswer: 5076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = 3*s - 5*l, -4*l - 232 = -2*s + 56. What are the prime factors of s?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*z - 57 = 49*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5845069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, n: 3, l: 11}. What is prob of sequence lln?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {h: 2, r: 1, a: 1, d: 6, m: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 19*k**2 - 1. Calculate d(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 0*j**4 + 4*j**4 + (j**3 - 4*j**3 + 5*j**3)*(2*j + 3 - 3) + 1 + 3*j**4 - 2*j**2 + 4*j**3 - 4*j**3.\nAnswer: 8*j**4 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7807*r**3 + 3088*r**2 wrt r?\nAnswer: 46842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*s - 0*s. Let z(w) = 2*w**2 - 7*w + 1. Let l be z(5). Let x be l\/12*(-3)\/(-2). Solve x*n - 16 = -0*u + s*u, 3*n = u + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 37747937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 0*r - 1\/5*r**5 + 11\/24*r**4 - 15*r**2 + 0 + 0*r**3. Find the second derivative of l(n) wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16691 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(0 + 2*b**2 + 0) - 4*b - 2*b**2 + 4*b + (0 + 4 + 0)*(-6*b**2 - 29*b**2 - 3*b**2).\nAnswer: -158*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l**4 + 84*l**3 - 12*l**2 = 0. Calculate l.\nAnswer: 0, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 1598.\nAnswer: -7990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 8aa78?\nAnswer: 8aa78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43404*w**3 - 136602*w**3 - 21612*w**3 - 108080*w**3.\nAnswer: -309698*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141315113?\nAnswer: 317, 445789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -550*v**2 - 129677 + 124873 - 270*v**2 wrt v.\nAnswer: -1640*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -203 - 12*s**2 - 272 + 9*s**3 - 88 - 14*s**3 + 6*s**3 to r*s + j*s**3 + z*s**2 + m and give m.\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-11)\/c**(-1\/8))**31)**(-2\/121))**(-38) assuming c is positive.\nAnswer: c**(-51243\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 + 6 + 12*p**2 - 6.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*d - 2770 - 12*d + 2768 in the form k + z*d and give z.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 18*m**2. Let n(d) = 0*d - 4*d + 7*d. What is n(i(l))?\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r = 14. Solve g = j - 4, -4*g + r*j - 15 = 4*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 - 7*r**2 + 2*r**2 + 3*r**2.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - ((-2280)\/16)\/15)*-10*(-10)\/225\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503.756 millilitres in litres?\nAnswer: 2.503756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 2. Let m be n(2). Let l = 7 + m. What is the units digit of (0 + (-7)\/l)*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, -3, 11328, -2\/15, -5\/4, -0.3, 5?\nAnswer: 11328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/2237 + 4441\/24607. Let u = -82\/105 + 8\/21. Which is the nearest to -0.1? (a) 6 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 3. Suppose 6*k = 3*k - 3. Let g be (k + 2)*2 + s. Calculate the greatest common divisor of g and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94\/3 - 63\/2. Let j be ((-15)\/10)\/(45\/10). Which is the third biggest value? (a) j (b) -0.3 (c) 5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26, 1, -291, -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-54)\/(-15)*-1 + 21\/420*-8. Let w = 6 + 2. Put v, -10, w in ascending order.\nAnswer: -10, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (1 - -1) - -5. Solve 0 = h*z + 13 - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7071624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24245, -24244, -24241, -24236, -24229, -24220, -24209?\n\"Answer: d**2 - 2*d - 24244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.18 - -16.82. Let g = -16 + f. Let x = 129\/28 - 34\/7. Which is the nearest to x? (a) 2 (b) g (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 - 28671844867.\nAnswer: -28671844867.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -31441111 (base 5) in base 3?\nAnswer: -111110201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 1 - (-27 - (-19 + (0 - -3))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/2 and 29\/164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55\/158 + 64849\/1106. Let l = -58 + s. Is -0.5 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 10 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7547651926 to the power of 1\/3, to the nearest integer?\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6 + 11 + 23*k.\nAnswer: 23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/((-196)\/(-294)*(-6)\/4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34475 and 1050?\nAnswer: 206850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -383 at least as big as -2303\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797 is divided by 248?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -10 + (-5 - -6 - -6) + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -741 - -743. Let z(k) be the first derivative of 0*k + 0*k**l + 2*k**3 - 4 + 3\/4*k**4. Solve z(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (-25 + 12)) + -24 + 20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4*p - 22 + 4 + 14 = 0, -4*r = 53*p + 289 - 40 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 924 and 1731240.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70642 and 16505775?\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 11 = 3*f, -5*f - 2*r = -f - 28 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 10) to base 16.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/sqrt(300) + 4 + -4 + sqrt(3) + ((sqrt(3)*2 - sqrt(3)) + 2)**2.\nAnswer: 7 + 26*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = m - 2*m + 5, 5*m = 4*a - 33. Let x = m - -8. Suppose x*f - 2804 = -f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1 = -26. Let p(t) be the second derivative of t**4\/12 + t**2\/2 - 249*t. Let y(u) = -7*u**2 - 2*u - 4. What is f*p(q) - y(q)?\nAnswer: 2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 2*h - 42. Suppose z - 11 = h. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (285 + 277 - 561 - 48*o)*(3 + 1 + 2) in the form g + m*o and give m.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - 1. Let l be 2*(0 + 6\/(-4)). Let n be a(l). Suppose -5*s + 2*s = n*i - 6, -2*s + 6 = 4*i. Solve i*u = 8*u - 4*k - 8, 6 = 3*u - 3*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2)*7)\/(308\/(-176))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 280523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2 - 2*x. Let s be m(2). Let d = s + -22. Suppose -2*p + 0 = -6. Solve -11 = -p*y - d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2 + y + 10. Let h be d(0). Suppose -2*n - h = 3*n. Let o(i) = -3*i**3 - 3*i**2 - 2*i. Calculate the least common multiple of 10 and o(n).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 1, z: 4, v: 2, o: 3, x: 2}. Give prob of sequence vwo.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137696 is divided by 34413?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*a**2*n**4 + 8*a**2 + 12*a*n**5 - 8*n - 2 wrt n?\nAnswer: 240*a**2*n**2 + 240*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5))**2 + -4 + (-5*(3 + sqrt(11) + sqrt(11)))**2.\nAnswer: 300*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.759 or -0.1?\nAnswer: -4.759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 69\/92*(77\/(-21))\/(-11)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) 17 (c) 2\/17 (d) 8\/95 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -258 times 125\nAnswer: -32250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -193, -429, -823, -1429, -2301, -3493?\nAnswer: -5059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3043, 1446, -1213, -4934, -9717, -15562, -22469?\n\"Answer: -531*c**2 - 4*c + 3578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 - 9*t**2 - 7*t + 3. Let b(f) = -f**3 - 5*f**2 - 3*f + 1. Let z(k) = 5*b(k) - 2*l(k). What is z(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**4\/24 + 2*o**3\/3 - 14*o**2. Calculate j(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1238752 and 3561412.\nAnswer: 28491296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**3\/3 + 3. Let o(w) = 91*w - 184*w + 133*w. What is p(o(b))?\nAnswer: -1600*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -155 in -1, 6\/7, -0.13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -5*q**5\/12 - 55*q**4\/9 - 155*q**3\/18 + 20*q**2\/3 - 41*q - 3. Suppose w(f) = 0. Calculate f.\nAnswer: -8, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 3, 254, -8.\nAnswer: -8, 3, 19, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 5*u**2 + u + 1. Suppose 0 = -3*h - 4*z - 14, -6*h - 2*z = -7*h + 2. Let o be s(h). Solve 5*p = -13 + o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 5:05 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - 3 - (-32 + 30 - 39)) - 12\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + j + 2. Let n be m(-4). Suppose 0 = -5*a - 5*o + n, -5*a + o + 48 = -3*o. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*z - 4*w + 34, -4*w - 20 = 0. What is the highest common divisor of z and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**3)**(-10)*(a*a*a**(-2\/7))**(-4\/23))**24 assuming a is positive.\nAnswer: a**(-155712\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(7\/(-2)) + -2. Is (h + -3)*(-8)\/6 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:48 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -38025918\/5 >= -7605184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148908 * -0.4.\nAnswer: -59563.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5945039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1365 + -1364.8. Let k(u) = 3*u - 25. Let q be k(6). What is the nearest to 1 in q, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5757*n**2 + 22917*n**2 - 5724*n**2 - 5721*n**2 - 5712*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-1)\/(5\/14 + 6\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -53.57 and 3.29.\nAnswer: -176.2453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5444, -10873, -16292, -21695, -27076, -32429?\n\"Answer: v**3 - v**2 - 5433*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w - 30. Let r = -11 - w. Suppose -g - 15 = -r*g. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvr when three letters picked without replacement from {v: 1, r: 1, n: 1, l: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -3 - (1 - -4) - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 111 = -4*a - 5*w, -5 = -5*w. Let t = -9 + a. Let y = 18 - -37. What is the remainder when y is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - g - 14. Let m be q(0). What is the units digit of -2 + (1 + 1 - m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - u**2 - u + 5. Let j be k(0). Suppose -j*w + 13 = -7. Let p = 14 + w. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 980 + -5 + 13\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*2.0953\nAnswer: -0.041906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 7:26 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -31*z**3 - 4*z**2 + 308*z + 306. What is s(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 88*d + 1440. Give u(22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35015 or 35014?\nAnswer: 35014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/7, 0.3, -9502\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21446*n**5 + 6231*n**2 wrt n.\nAnswer: -1286760*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -150070544 divided by 1319\nAnswer: -113776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -11. Suppose -3 = k*l + 2*n - 17, 0 = -2*l + n + 5. Suppose 3*w = -l*w + 582. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2299\/(-2) + -3 + 2. Let c = i + 1183. Find the common denominator of c and -39\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73436?\nAnswer: 2, 11, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2304)*4 - sqrt(2304)) + sqrt(2304))\/(sqrt(96)\/sqrt(12)*4).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - t + 4)*((-3 + 2 + 3)*(t - 4*t + 2*t) + 4 - 24*t - 4).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 11:50 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1314*n + 93295. Give b(-71).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2498*s + 239*s + 2*s + 1789*s + 485*s.\nAnswer: 5013*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.0043.\nAnswer: 0.00172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 + 0*t**4 + t**4 - t**4 - 3 + 3 + 0*t**4 + 2*t**4 + t**4 + (t**2 + 1 - 1)*(-t**2 + t**2 - t**2) + (1 - 2*t - 1)*(-5 + 5 - 2*t**3).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -24. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away -0.004?\nAnswer: -9.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -15*u**2 + 10*u + 40. Suppose -83 = 17*r - 287. Let d be j(r). What is d rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -8c90?\nAnswer: -8c90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26 - 0) + 33 - (3 + -1)) + -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**4\/24 - 2*h**3\/3 - 3*h**2\/2 + 3*h. Let u(w) be the first derivative of c(w). What is the derivative of u(g) wrt g?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 18 - 237. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*h - 23 = 0, 3*m + 7*h - 19 = 12*h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 460675?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-8)*-4*(-5)\/1050?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/40*-30)\/((-2)\/8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -318\/17*q - 10\/17 + 64\/17*q**2.\nAnswer: 2*(q - 5)*(32*q + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w - 1. Let a(n) = -n - 1. Let z(i) = i + 1. Let g(l) = -a(l) - 2*z(l). Calculate -2*g(y) - s(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 + 0 + 8 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.9 + 60.3. Let s = c + -5.2. What is s rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**3 + 2*j**2 - 4. Let d(i) = 7*i**3 + 2*i**2 - 5. Give 4*d(l) - 5*w(l).\nAnswer: -2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 5*u**2 + 22*u - 11. Let v(k) = 3*k**3 - 9*k**2 + 46*k - 22. Let w(o) = -5*t(o) + 2*v(o). Let c be w(-9). Solve -c = -4*n + 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(330)\/(sqrt(22)\/sqrt(2)))\/sqrt(10)*-4)**2 + -4 + (2 + sqrt(3) + (-2*sqrt(3))**2 - 4*sqrt(48)).\nAnswer: -15*sqrt(3) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, a: 1, b: 2, q: 3, c: 3, x: 2}. What is prob of sequence xa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 227588813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 6:50 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35246911 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2061 * 147265.\nAnswer: -303513165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189736 is divided by 2428?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + -39. Let o = -95 - n. Let g = -2 - -1. What is the closest to -0.1 in o, g, 2\/19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 183495175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 75. What is the common denominator of (-2 - -3)\/(-4)*t and (-50)\/28 + 1 + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24258 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 144750 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.9062*11\nAnswer: 9.9682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 5:09 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-3))\/((-2)\/(-4)). Let z(h) = -2*h + 2. Let v be z(2). Is v not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - 432\/243\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 + 701*q + 25583. Calculate h(-45).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6176, 12334, 18598, 24962, 31420, 37966, 44594?\nAnswer: 51298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/282381 and -67\/61559058.\nAnswer: 61559058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 4, 0.4, -1\/514 in increasing order.\nAnswer: -1\/4, -1\/514, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -828, -904, -980, -1056?\nAnswer: -1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -24. Suppose -p*s + 10 + 6 = 0, 3*u + 13 = -2*s. Which is bigger: u or -10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/6 (b) -5 (c) -4 (d) 1\/8 (e) 382 (f) -7\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 51. Let b be (-96)\/j + -3 + 0. Suppose 5*q = -15, 2*u - q = b*q + 52. Solve 12 = -4*a + 2*a + 2*f, 3*a + u = 4*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000703227 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17897118 and 266301?\nAnswer: 4227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*i + v - 37, 3*v + 27 = 3*i. Let a be ((10\/3)\/5)\/(2\/i). Suppose 7*s - 5*s + a*j = -12, -s - 15 = 5*j. Solve s = 5*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 17*l. Let x(m) = 119*m - 34*m - 50*m. Calculate 7*v(k) - 4*x(k).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*f**2 + 1035*f + 6642 = 0. What is f?\nAnswer: -246\/11, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -17. Suppose -p*x - i + 277 = 0, -4*x + 283 = x - i. What is the units digit of 1\/(1 - x\/58)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 21068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 1, 5, -17, 18.\nAnswer: -21, -17, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + ((2 + sqrt(1700))*2)**2 + 3 + (sqrt(1700) + -1)**2 + sqrt(1700) + -2.\nAnswer: 160*sqrt(17) + 8518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 19*q**7\/210 - 11*q**5\/30 + 7*q**2\/2 + 9. Let u(x) be the second derivative of r(x). Find the third derivative of u(h) wrt h.\nAnswer: 456*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2*f = 22, 24*r - 5*f - 47 = 21*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 8*s - 324. Calculate the greatest common divisor of 54 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Does 133 divide 4202749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*((-268)\/7)\/(110\/(-55)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/6 + 1\/(-6). Let p be (-17 - w)\/1*-1. Suppose 2 - p = -3*z. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 24*t - 78. Let c be g(-3). Suppose c*y = 241421 + 306679. What is y rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/16, -0.5, -2\/9, -3\/7, -895, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/14))**(33\/4)*(i**4*i)\/i**(1\/20) assuming i is positive.\nAnswer: i**(1221\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36279 + -36273. Let i(z) be the third derivative of -35\/12*z**4 - 11\/30*z**5 + 0*z - 1\/60*z**y + 0 - 25\/3*z**3 + 46*z**2. Factor i(m).\nAnswer: -2*(m + 1)*(m + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 0.1 (c) -0.233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32396 and 17647721.\nAnswer: 8099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:55 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 5*c. Let d(y) = y**2 - 4*y - 1. Let s(v) = 3*a(v) - 4*d(v). Let f(n) = -n**2 + 9*n + 10. Let p be f(10). What is s(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + 102*f + 104. Is h(34) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + t - 89 = 5*a, -2*t = 2*a + 92. Suppose 3080 = 12*i - 82*i. Let w = i - a. Solve 5*u - 4 = w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -877 + -7046. Let v = -158551\/20 - k. Find the common denominator of v and (-1)\/((-116)\/74 - -2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 5*v**2 + 5*v - 6. Let a be (0 - -2)\/(13\/26). Give y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 4*v**2 - 3*v - 4. Let z = -133 - -136. Let f be t(z). Let x = -8564\/1645 - -2\/329. Which is bigger: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 0 + 0*x**2 + 34*x + 43\/6*x**3 + 2\/3*x**6 + 0*x**4 + 0*x**5. What is the second derivative of n(g) wrt g?\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 29)*(-12)\/16. Let m = 11401\/6288 - 1\/1572. What is the common denominator of m and ((-33)\/q)\/(4\/(-18))?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 72*b - 3. Let g(s) = -2*s - 39. Let d be g(-20). Is 21 a factor of q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64476*n*x**2 - 6239*x**2 with respect to n.\nAnswer: 64476*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1092 - -3c7?\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 8. Is 9 a factor of 4 + w - (-5 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9*342\/133.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 10. Let q(j) = 1. Let d(t) = -h(t) + 3*q(t). Let s be d(8). Let i = 7 - s. Solve i = -2*g - g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1668 - -91. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 21b0?\nAnswer: 21b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/22)\/(6270\/(-342))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s - 4. Suppose 0 = 8*g - 4*g - 16. Let i be o(g). Solve -i*a + 2*a = 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271071 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.066 * -168.\nAnswer: 11.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8094 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**2. Let n(l) = 78*l**2 - 13. Let b(p) = -31*p**2 + 5. Let g(f) = 13*b(f) + 5*n(f). Determine w(g(o)).\nAnswer: 845*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278314, -556635, -834970, -1113325, -1391706, -1670119, -1948570?\nAnswer: -2227065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -189*n**3*r**2 - n**3 + 1775*n**2 - 147326*n*r**3 + n - 268 wrt r.\nAnswer: -378*n**3*r - 441978*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -48. Let o(r) = -12*r - 4. Let w be o(n). What is the greatest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 250079\nAnswer: -100031.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 14*z + 20.\nAnswer: 2*(z + 2)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 13*r - 3. Let d be t(2). Let y = d - 42. Is -22 - y - 164\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(3\/(-12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 4 - 13580 - -2. Let m = 972926977949\/71691180 - -8\/5974265. Let i = y + m. Calculate the common denominator of -51\/50 and i.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -2*r**3\/3 + 6*r**2 + 39*r - 4. Calculate y(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -53871\/10, -12, -18, 1?\nAnswer: -53871\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o + 7. Let c(b) = -2*b - 7. Let w(s) = 4*c(s) + 3*i(s). Let j be w(5). Let q(v) = -v + 3. List the prime factors of q(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1097 = 5*c - 4*y, -3*c - 5*y = 91 + 582. Let r = 43 - c. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djmtmtdtt. Give prob of picking 1 d and 1 m.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 - 1. Suppose 12*v + 39 = 87. Which is the closest to m? (a) v (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.32 + 0.02. Let w = -3.9 - -4. Let d = x - w. Which is the third smallest value? (a) 1\/2 (b) d (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1\/9 (c) -255\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in 33\/7, 0.011, 2.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 + -490.0494891\nAnswer: -490.1894891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2*(-2)\/204)\/((-30)\/390*-13). Let j(r) be the third derivative of -21*r**2 + z*r**4 + 4\/51*r**3 + 0 + 1\/510*r**5 + 0*r. Find f such that j(f) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 15 (c) -25\/6 (d) -2 (e) 8 (f) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t**3 + 62748*t - 62748*t.\nAnswer: -29*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*y**2 - 6*y + 12*y - 6*y.\nAnswer: 56*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -276 in -80, 1\/4, 5, 49?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97*x - 168?\nAnswer: -97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -12*k + 131. Let l be u(10). Suppose l*w - 806 = -608. Calculate the remainder when w is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 2*z**2 + z**2)*(4 - 3*z - 4) + (-3*z + z + 4*z)*(4 + 3*z**2 - 4).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1 + (-9)\/(-3)). Let m(q) = -q**3 + 5*q**2 + 6*q + 6. Let i be m(6). Let s = i - v. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27445 - -67965. Round r to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4 = -4*c, 0*t + 4 = -4*c - 4*t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j**3 + 39*j**2 + 12*j - 13. Let m be k(-9). Let u = -952141 + m. What is u rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/130*((-10396)\/345)\/113.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1 = -169. Let v = k + -44. Calculate the common denominator of (-2)\/(-12)*(-2 - (-80)\/6) and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -120*z**2 + 554*z - 2801. Determine x(5).\nAnswer: -3031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8 = -3*x. Let f be (-4)\/12*(0 + x). Let u = 408 + -410. Sort 2, f, u in ascending order.\nAnswer: u, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15327 in 0.1, -43, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-28) - 54\/(-21). Let l(t) = -2*t**2 + 8*t - 10. Calculate l(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0123033 to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**24*l*(l*l\/(l\/(l*(l\/l**(5\/3))\/l)))\/l assuming l is positive.\nAnswer: l**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.1.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 - 5027*h - 25270729.\nAnswer: -(h + 10054)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/78 + 23\/234. Let f = 0.086 - 18.286. Let t = 18 + f. What is the biggest value in 0, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68801474 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -20*(-1475)\/3500 + 6\/(-14). Solve 4*i - c - 17 = -6, 2*i = -2*c + s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15759*w - 7425 = 15660*w for w.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22501 is divided by 416.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48609.1 centuries to decades.\nAnswer: 486091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}