diff --git "a/data/dm_maths/full_data/10477_11255.jsonl" "b/data/dm_maths/full_data/10477_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10477_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -2*y + 3*i - 13 = 6*i, -4*i = -2*y + 22. Suppose a - 3 - y = 0. Suppose a*o - 19 - 1 = 0. Calculate the lowest common multiple of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - q**3)*(5 - 2 - 11)*(-2 + q**2 + 2).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 163016945 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v + 10 + 28*v + 18*v.\nAnswer: 17*v + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 41. Suppose 10 = 4*v - s. Suppose -v*d = -10*d + 200. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 62 + 70. Let v be (69 + -73)*(l\/8 + -1). Suppose -k - 380 = -4*k + 2*p, 0 = k + v*p - 134. What is the highest common factor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.1, 2\/19, -0.86 in decreasing order.\nAnswer: 2\/19, -0.1, -0.2, -0.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqfr. Give prob of sequence rq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/16 and 6\/2 - (-221)\/(-48) - 0?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 213 = 2*r. Suppose -65 = k + 3*l - r, 2*k - 2*l = 2. Determine w so that -1\/4*w**2 + k*w - 25 = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36193, -72375, -108543, -144691, -180813?\nAnswer: -216903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 - (-1)\/4. Suppose -3*s + 9 = -g*s. Suppose -3*r + s = -0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26102 (base 10) to base 9\nAnswer: 38722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2310383 and 2.\nAnswer: -2310381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*p + 5, 0*p - c = 3*p - 4. Solve -3*f = p + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 9 - 6) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3062\/7 + -3943\/9. Let g = -1\/60 - 17\/30. Find the common denominator of g and u.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.98342 months in years?\nAnswer: 12.415285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-63)\/(-154) + 2)*(-1)\/1 and 15\/38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*m - 3591 = 41*m. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 459.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utuuutuuuuutuuuuutuu. Give prob of sequence uut.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2881 - -56192.\nAnswer: 56192.2881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/7, -2\/3, -3083\/13, -12.2, 0.3, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/5*595\/(-14). What is the second derivative of -3*v + r*v**2 + 3*v + 46*v wrt v?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-10) + 504\/(-280). Let s(k) = 1. Let r(x) = -x + 7. Let q(h) = r(h) - 5*s(h). Let n(j) = -2*j + 3. Give m*n(b) + 5*q(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -585*c + 119*c + 4194 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 129 (base 12) in base 5?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0, 1, 0.2, 3.85 in ascending order.\nAnswer: 0, 0.2, 1\/2, 1, 3.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51440, -205768, -462982, -823082?\n\"Answer: -51443*n**2 + n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 122257\nAnswer: -1\/122257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 2*m - 2. Let h = 11 - 8. Let o be y(h). Calculate the greatest common factor of o and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 + 21*x + 6. Let z be y(-6). Let c(o) = -37*o. What is the remainder when c(-2) is divided by (86\/(-12))\/(-1) + 2\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2914065.\nAnswer: 3, 5, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076564562 to the power of 1\/3, to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 546*j**2 + 2535 + j**3 + 5733*j + 2649 - 4*j**3.\nAnswer: -3*(j - 192)*(j + 1)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 4*q - 5*q**2)*(3*q + 11 - 9 + 5).\nAnswer: -15*q**3 - 35*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 2203, 5328, 9703?\nAnswer: 15328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 973200129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000096471114 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, y: 3}. Give prob of sequence xyxx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -8 + (-1 - 1 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 538\/3 + -875\/6. Suppose n + 2*q = -6 - 4, 2*n - 3*q + 55 = 0. Find the common denominator of n and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/7*v - 2\/7*v**4 - 10\/7 + 12\/7*v**2 - 8\/7*v**3 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847471 = 41*i - 846159 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 64, -2, 10, -5.\nAnswer: -5, -3, -2, 7, 10, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*c, -3*c - 227*v = -226*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*c*y*z + 26*c*y + 3*c - 9*y*z + 2*y + 19218*z wrt y?\nAnswer: 17*c*z + 26*c - 9*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g. Let u(t) be the second derivative of -29*t**3\/6 + 13*t + 49. Determine u(k(o)).\nAnswer: 174*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, w: 3, k: 1, s: 1, n: 4}. Give prob of picking 3 n and 1 s.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 6*s**2 + s + 2. Let y(z) = z**2. Let q(g) = -3*w(g) - 12*y(g). Factor q(v).\nAnswer: 3*(v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 690 + -680. Let u be -22 - ((-6)\/p)\/((-6)\/(-30)). Put -4, -0.1, u in ascending order.\nAnswer: u, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)\/x)\/x**(2\/15))**31\/(x\/(x\/x**(6\/7))*x*x\/((x*x**3*x)\/x)*((x\/(x\/x**(-2\/3)))\/x)**(-3)) assuming x is positive.\nAnswer: x**(-7349\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1764394 or -10586363\/6?\nAnswer: -10586363\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971251171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*l - 40 + 10, -l = 3. Let o = -10 - r. Sort -2, 1, o in descending order.\nAnswer: o, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6064624 to the nearest integer?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w + 18. Let y be g(-7). Suppose -69 = -3*u + y. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 50, -3.4, 5\/212?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 3:33 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.493 - 2.393. Suppose -6*m = -10*m + 4. What is the nearest to s in -2, 34, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v + 42. Let g(o) = -5*o - 20. Let p(x) = 5*g(x) + 2*m(x). Let y(n) = 4*n**2 + 3. Let l(u) = -u**2 - 1. Let j(h) = 3*l(h) + y(h). What is j(p(c))?\nAnswer: 25*c**2 + 160*c + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18748363*q**2 - 3*q**3 - 18748363*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9889, 40617, 91825, 163507, 255657?\n\"Answer: -i**3 + 10246*i**2 - 3*i - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.86772 or 1\/4?\nAnswer: -1.86772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:14 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-1)\/sqrt(9)*-3)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10538 millennia in decades?\nAnswer: 10.538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**2*k + 590*j**2 + 17266*j*k**3 + 42*j wrt k.\nAnswer: 2*j**2 + 51798*j*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.38 and 142?\nAnswer: -53.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**3 + 889*o**2 + 687*o - 4000. Determine c(223).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9491 + 5375. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -91483.\nAnswer: 82334.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*f - 2 = 0, -5*z + 3*f = -17 + 1. Let j(d) = 5*d - 17. Let a be j(z). Solve -21*k + a = -19*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1765, 2700, 3639, 4582?\nAnswer: 5529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1794*z**2 + 2392*z**2 - 1179*z**2.\nAnswer: 3007*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157 - -162. Let b(w) = -w**2 + 6*w + 7. Calculate b(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*c + 751 + 455 = -166*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 116, 3, -43?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5*w + 10, 106*h + 2*w = 55*h + 47*h - 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13 + 9 + 10 + -2. Sort 1, -2, x in ascending order.\nAnswer: -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (20 + 8 + -11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 8*q + 8. Let i be k(7). Let n(j) = 57*j**3 + 2*j**2 - 3*j + 2. Is n(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85851 and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/6)\/((-71)\/(-213)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -461 - -492. Factor -q*h**3 + 19*h**3 + 2*h**2 + 2*h**2 + 14*h**3 - 18*h + 2*h.\nAnswer: 2*h*(h - 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**5\/60 - z**3\/2 + 3*z**2. Let t(a) be the first derivative of f(a). Let b(u) = -1 - 2*u + 1. Calculate b(t(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639094 is divided by 150?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - k. Suppose -16*u = -13*u + 3. What is f(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/24)\/((-2)\/(-3)). Suppose t - 3*t = n. Which is greater: 2\/15 or t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -184, -177, -170, -163, -156, -149?\n\"Answer: 7*q - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11001010111000000 (base 2) to base 8\nAnswer: 312700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2663 in 4, 2, 0.2, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11133 + 10287 = 5*s. Suppose -8*j = -2*j + s. Let m be 4\/30 - j\/45. Which is greater: m or 15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -15*u**2 - 11*u + 22. Let a(b) = 4*b**2 + 3*b - 6. Let h(n) = 11*a(n) + 3*l(n). Let w(c) = 284*c**2. What is w(h(x))?\nAnswer: 284*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75508.\nAnswer: 2, 43, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (18 - -29) + -13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 86 (b) 3 (c) -0.039\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 3*o - 6. Let w be j(-5). Suppose -2*v + w = -6. Solve -i - 2 + 3 = -d, 0 = -3*i - d - v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 18*q**2 + 7*q + 82. What is f(-17)?\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -30*j + 4. Let w be d(-4). Let o = w - 68. Suppose 0 = -0*u - u - o. Round u to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*w**5 + 35425*w**4 - 24*w**3 - 7*w - 2551022 wrt w.\nAnswer: 60*w**3 + 425100*w**2 - 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*j - 39 = 0, 2*c + 4*j + 3 + 1 = 0. Suppose 3*b = b - c. Find the common denominator of 10\/(-32)*b\/20 and 23\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4348296 and 598887?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5289 divided by 34?\nAnswer: 5289\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2366970, -2366945, -2366920?\n\"Answer: 25*t - 2366995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 45*n + 55, -999*o + 3*n - 12 = -1002*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**3 - 13*h**2 - 4*h + 1. Let q = -8 - -13. Let x(t) = 3*t**3 - 12*t**2 - 4*t + 1. Let f(n) = q*x(n) - 4*d(n). Does 12 divide f(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -369608, -739225, -1108842?\n\"Answer: -369617*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376556341?\nAnswer: 7, 17, 41, 113, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((898\/(-3))\/(-1))\/((-6)\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.066 and -0.01.\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 0.83, -0.2, 9, 4?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q. Let s(p) = -p**2 + 3*p - 10. What is j(s(b))?\nAnswer: 2*b**2 - 6*b + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let y(o) be the third derivative of 0 + 0*o + 0*o**3 - 1\/20*o**5 - 7*o**2 + 0*o**4. What is y(l(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5. Let j be i*(-3 + 15\/6). Suppose j = -4*k + 5*k - 56. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -17, 0.6, 63, -236, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-349)\/(-2) - 9\/(-18). Let c be (91\/(-3))\/((-1)\/(-3)). Let l = d + c. Calculate the highest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 6*d**2 - 3. Let w be j(6). What is the units digit of w*24\/(-9) - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w + 7. Let v(b) = -b - 1. Let j(s) = g(s) + 6*v(s). Let t(l) = -8*l**2 - 4*l + 4. Let c(o) = 4*j(o) - t(o). Let u(f) = -4*f**2. Determine u(c(z)).\nAnswer: -256*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.42 + 0.59. Let b = -142.874 + 143. Let c = b - h. Round c to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2. Let o = 8.54 - 13.54. What is the closest to r in 2, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.16451 and -715.2.\nAnswer: -715.03549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.30652 * 1\nAnswer: 0.30652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1068a7 (base 11) to base 10\nAnswer: -170122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 248.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((9 - 32) + 46).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91.08 - -90.88. What is the smallest value in o, 6, 0, 5, 18?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1 = 1, -14 = -5*q + 4*o. Let i = q - 3. Is -1 equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -182 + 181. Let a be v + 3 + -2 + -4595. Let d = a + 6476. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 32\/7, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z + 21. Let s(l) = 20*l + 62. What is 6*s(m) - 17*v(m)?\nAnswer: m + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 1. Let w be (v\/24)\/(3\/(-6)). What is the smallest value in -3, w, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4094?\nAnswer: 2, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*b + 239 + 5 = 34 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + (sqrt(204) - -1*sqrt(204)*-6))*5)\/((6*sqrt(384))\/sqrt(2)).\nAnswer: -5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/(12\/(-234)). Let x(v) = 2*v - 22. Let g be x(m). Suppose 66 = b + 4*s - 2*s, -g*s = -2*b + 100. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1485 and -19\/240?\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -29*s**4\/24 + s**3\/6 + 2*s**2. Let h be (-1)\/(-1*(4 - 5)). What is the tens digit of o(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**5\/20 - q**4\/12 - q**3\/6 + q**2 + 8*q. Let r be c(0). Sort -4, 6, r in decreasing order.\nAnswer: 6, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/11, 500, 2, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 22*i**2 - 40*i - 41. Let n be m(28). Let f = n - 1416. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) - (-36)\/8. Let q(n) = -2 + 1 + a*n - 2*n - 4*n. Calculate q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/15*86 - 70\/(-175)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**4\/24 + 15*z**3 + 5*z**2. What is the tens digit of m(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-6 + (1 - 0)). Suppose -3*x + h*x - 8 = 0. What is the greatest common divisor of x and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 22*z**2 - z + 32. Let q be v(22). Let u be (-11)\/q + (-1)\/(-2). What is the closest to 2 in -2\/3, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 743? (a) -15 (b) 6 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3345 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226116?\nAnswer: 2, 3, 11, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345188460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0.5, 20.6, 5 in descending order.\nAnswer: 20.6, 5, 0.5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-42)*(-40)\/(-90)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*g**2 - 610029 + 82*g**2 - 7*g + 610029.\nAnswer: 127*g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t + 1. Give g(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.62608 + -0.07392. Let m = 5 - 1. Which is the closest to n? (a) m (b) 2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28218 divided by 2?\nAnswer: 14109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*s + 257, -2*o - s = -5*s - 90. Let w = -28 + o. Calculate the greatest common factor of w and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2015*s - 1299*s + 2457*s)*((4*s**2 - 3*s**2 + s**2)*(0*s + 0*s - 3*s) + (-1 - 3 + 6)*(-s**3 + 2 - 2)).\nAnswer: -25384*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from xxzcskckexsxx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 1. Suppose -142 = 45*d - 52. Sort -1, d, s, -21 in decreasing order.\nAnswer: -1, d, s, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i**3 - 1082*i**2 + 389*i + 335. Calculate h(98).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1808 and 120797?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 19. Let z(l) = 10*l - 31. Let g(x) = 9*q(x) + 4*z(x). Calculate g(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 528*q**3 + 224 + q**2 + q**2 + 540*q**3 + 14 - 1066*q**3 as m + p*q**2 + n*q + i*q**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -13. Calculate the highest common divisor of 4 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.445 - 0.145. Let m = 16 + -10. Let l = y - m. What is the nearest to 0 in -0.2, 2\/7, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 11*t**2 + 4*t + 1. Let r(z) = 32*z**2 + 11*z + 3. Suppose -2*y = 2*o + 46, -12*y = -o - 16*y - 41. Determine o*m(q) + 6*r(q).\nAnswer: 5*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -151116*k**4 + 13*k**3 + 4309012*k.\nAnswer: -1813392*k**2 + 78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-772)\/(-386)*(15\/400)\/((-18)\/(-5))?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-15225)\/1092 - (-150)\/24).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 18432 = -4*l - 18428, 2*i - 3*l + 7 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2550*a + 1440*a - 3774*a = -112332 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -8 + 2. Let s(i) = -2*i**2 + 3*i - 3. What is s(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*f + 4*x, 2*f - x - 2*x = 7. Suppose -o - w + 3 = f*w, 35 = 5*o + 5*w. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 0*y**2 + y + 1\/12*y**4 + 46 + 43\/6*y**3. What is the second derivative of a(h) wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1821693?\nAnswer: 3, 29, 20939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(5\/(-50)*5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 673, 2417, 5851, 11539, 20045, 31933, 47767?\nAnswer: 68111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 3, 3.6.\nAnswer: 1\/10, 3, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 164*r = 0. Suppose 6\/7*f + r + 6\/7*f**3 - 15\/7*f**2 = 0. What is f?\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**1\/a)**(1\/65)\/(a*a**(2\/7)*a*a)**(2\/29) assuming a is positive.\nAnswer: a**(-2787\/13195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1202 is divided by 623?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/736 and 19\/395968.\nAnswer: 395968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321443?\nAnswer: 3, 29, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**3\/3 + 7*s**2 - 5*s - 55. Give y(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + h**2 - 6*h + 5. Let w be s(6). Suppose 5*r = w + 23. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-14)*(-1 - -8). Suppose -v + 3*r + 9 = 2*v, 4*r = 3*v - 10. Let n = 7 + v. Calculate the greatest common divisor of n and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - d - 6*d - 459 = -3*d - d, 573 = -5*o - 3*d for o.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssl when four letters picked without replacement from sxsslqqssls.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 56*x**2. Let u be 3 - (28\/(-210) - (-47)\/15). Suppose u = 5*q + 2*i + 239, 144 = -3*q - 0*i - i. Let d(k) = -7*k**2. Determine q*d(z) - 6*o(z).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 + -37. Suppose 21 + s = 2*u. Suppose 3*y - 43 = -4*m, -4*m - 3*y = m - u. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57235 and 1015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.77 and 0.29.\nAnswer: 0.2233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**3 + 198*t**2 - 3*t + 1758 wrt t?\nAnswer: 3*t**2 + 396*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1377) + 4*sqrt(1377) + 2 + 0 - 2*(2 + -3*sqrt(1377) + sqrt(1377)))**2.\nAnswer: -324*sqrt(17) + 111546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 12 = -5*l. Let y be (-62)\/(-104) + l\/8. Let q = -2 + 1. Which is bigger: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4675 + 4656)\/(2 + ((-19)\/8 - (-3)\/6))?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 10:15 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 815613.5ml to litres.\nAnswer: 815.6135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -166 (b) 125 (c) -16 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, -222, -706, -1404, -2328?\nAnswer: -3490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2))**(-38)\/(p**(-2\/5)*p*p**4*p)*(p**(-2\/7))**(-10)\/(p**(-1\/2))**(10\/7) assuming p is positive.\nAnswer: p**(594\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.27 and -6478886.73299.\nAnswer: -6478887.00299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - i - i + (i + 0*i + 3*i)*(3 - 2 + 0).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3423 - 1081. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 889, -10, 12, -3, 1.\nAnswer: -10, -3, 1, 12, 889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21f (base 16) to base 6\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45259 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a**3 + 8*a**2 - 6*a - 5. Let w = -1497 - -1498. Let j(k) = -3*k**2 + k**2 - k - 1 + 3*k**2 - k**3. What is w*l(o) - 6*j(o)?\nAnswer: -o**3 + 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12181?\nAnswer: 13, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -787 - 2*f - f**3 + 787 + 4*f**2 as x + v*f**2 + m*f + o*f**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 1. Let k(z) = -8*z - 6. Let p(s) = k(s) + 4*o(s). What are the prime factors of p(-10)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 s, and 1 o when three letters picked without replacement from osooooogogsooo.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1590 + -1590.723. What is g rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*7822\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2608, -2607, -2606?\n\"Answer: p - 2609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -1723*s**2\/2 - 1517*s - 1642. What is the derivative of d(c) wrt c?\nAnswer: -1723","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from zxzszsszzxszzzzszzss.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53133 = -1766*f + 5451 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30658755, -30658758, -30658763, -30658770, -30658779, -30658790?\nAnswer: -30658803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 25 = 5*h, -2 = -4*m + 5*h - 0. Sort -1, 1, m in ascending order.\nAnswer: -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-165) - (3638\/187 + -20). Factor 1\/5*p**2 - k + 2\/5*p.\nAnswer: (p - 1)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140391442?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 715387224 to the nearest integer?\nAnswer: 26747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j = -10. Suppose 10 = -3*l + j*l. Suppose -16 = -q + 3*p, 0*q + 3*p = 5*q - 68. What is the remainder when q is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2072 and -31\/460744.\nAnswer: 119332696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1077*h + 32069*h**2 - 16033*h**2 - 16040*h**2 - 5331*h.\nAnswer: -4*h*(h + 1602)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3, -2*a - 5*d + 37 = -6*a. Let t = -71 - -47. Let c be a\/3*t\/16. Solve c*h = -12 - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41099270 to the nearest 10000.\nAnswer: -41100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -83 - 309134961\nAnswer: -309135044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*a**2 - 7*a**4 - 41*a**2 + 16*a wrt a.\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -109 from -29343.\nAnswer: -29234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1445.46 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1\/4 (c) 22\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 - -142. Let h = r - 32. Let b = -33.9984 + h. What is b rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, r: 16}. Give prob of sequence rgr.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 183 - 95. Suppose 0*n + 4*n = j. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10625489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -473, 6, 0, 3, 1 in descending order.\nAnswer: 6, 3, 1, 0, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/206234991 and -46\/206234991.\nAnswer: 206234991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -0.1 (c) 1\/112 (d) -1\/2 (e) 4 (f) 1\/45 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143218.\nAnswer: 2, 101, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/247 + (-102)\/(-13). What is the greatest common factor of 76 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 9. Let a(l) = -l**3 - 3*l**2 - 3*l - 5. Let n be a(i). Let s(t) = 6*t**2 + 4*t. What are the prime factors of s(n)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 39*w + 38 + 17 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.9 - 17. Which is the biggest value? (a) 1 (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2915*x + 2910*x - 82 = -4*p, 1 = 5*p + x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 34.13. Let g = -1.326 - c. Round g to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 58868099 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -20246 divided by -53?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4877, 9738, 14599, 19460?\nAnswer: 24321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z = -12. Let c be (-4)\/(-16) - 3\/z. Is c >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12, 4, -22, -72, -152, -268, -426?\n\"Answer: -w**3 - 3*w**2 + 8*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2915 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**5\/5 + 25*x**4\/4 + 27*x**3 + 83*x**2\/2 + 28*x - 104. Factor s(b).\nAnswer: -(b - 28)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15930 and 135405?\nAnswer: 270810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -614353\/25 + 24571. Let o = z + 1\/50. Calculate the common denominator of 57\/2 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4568 = 7408. List the prime factors of b.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4)*2)\/(5\/(-555)). Let l = -110 - x. Sort 5, -4, l, -3 in decreasing order.\nAnswer: 5, l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144925 by 935.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166 + 137 - 109)*(-2*p**2 + 4*p**2 + p**2).\nAnswer: 582*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 13180 + 13166 + 126*u**2 + 37*u**2 to the form c*u**2 + p + o*u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/((-162)\/(-852))*2\/(-184). Let s = i - -7\/46. Let t be 2\/(-8)*8\/21. Which is the nearest to 5\/6? (a) 3\/4 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 0 - -15) + 0 + -22 + 23 + -26?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 - -121. Let m = c - 25. Solve -m = 5*a + 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1198144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/10 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600 a factor of 106688138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1274 and 702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g = -647 + 204 - 187 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -6, -9, -5, 5 in descending order.\nAnswer: 67, 5, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*d - 5*j - 12, 3*j + 29 = 2*d. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5108*u**4 - 474*u**2 - 7*u + 4 wrt u?\nAnswer: -122592*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 g when four letters picked without replacement from wwwwwwwwwwwg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c + 0*c)*(5*c - 5*c - c)*(-c**2 - c**2 + 3*c**2).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -11. Let m be 1\/h - (-82)\/3. What is the greatest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f = 5*x + 2 - 39, 35*f = -4*x + 37*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 54. Let p(t) = 53. Let f(d) = -2*j(d) + 3*p(d). Let z = 100 + -100. Is f(z) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (69 + -5) - -79.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380*n**2 - 1 + 5 - 4.\nAnswer: 380*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 31 - (135\/90)\/(-1 - 3\/6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 44 = -64 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/60 - o**4\/12 - o**3\/2 + 2*o**2. Let k be 3\/4 - (147\/(-28) + 2). Calculate m(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -11*v**2 + 1. Let y be ((-8)\/(2 + 0))\/(-4). Let b(m) = 2*m - 5 + 4 + y + 0. Give d(b(a)).\nAnswer: -44*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2 + (-10 - ((-25 - -15) + -6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -806*n**3 + 1393*n**3 + 1566*n**3.\nAnswer: 2153*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.85, 11252, -0.1 in increasing order.\nAnswer: -9.85, -0.1, 11252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4735 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12966*-66.\nAnswer: -855756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and 24451.\nAnswer: 24445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15310 - -6?\nAnswer: 15316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657068 is divided by 328531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 142703437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*l**3 + 22*l**4 - 1 + 1 - 36*l**4 + 4*l**5 + 8*l**2 = 0. Calculate l.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -23, -5, 2, 4, -3 in descending order.\nAnswer: 4, 2, -2, -3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-8918)\/1029)\/(4\/12)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**3 - x**2 + 108118*x + 38141299 with respect to x.\nAnswer: -3*x**2 - 2*x + 108118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*h - 1 + 3 = 0, -4*z - 4 = -3*h. Suppose -6*y + 14 = z. What is the third biggest value in -3, -0.3, -3\/2, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 + -2. Let x = 0.05 - 3.05. What is the third biggest value in w, x, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39670015 divided by -2?\nAnswer: 39670015\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*c**6 - 6 + 10 + 6 - 2*c**4 + 108*c**6 - 7*c**2 wrt c?\nAnswer: 22920*c**3 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = 4*u. Suppose -17*l - 304 = 17*l + 42*l. Sort -0.4, u, l, 3 in ascending order.\nAnswer: l, -0.4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1184 and 8608?\nAnswer: 318496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - h + 1. Let o(p) = 4*p**3 - 2*p**2 - 246*p + 56*p**3 + 244*p + 45. Let x(n) = -2*l(n) + o(n). What is the derivative of x(y) wrt y?\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 5*k**2 + 3*k + 4. Suppose -5*l - 5 = -5*v - 0, 2*l + 5*v - 26 = 0. What is h(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32114 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 340, 303, 266, 229?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -7, -5.\nAnswer: -7, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -74*n**3 + n**2 + 2*n + 1. Let x be d(-1). Let b = x - 34. Calculate the highest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/8, 32, 0.3, 7, 0.5, -0.1.\nAnswer: -0.1, 0.3, 0.5, 7\/8, 7, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1747, 3357, 4965, 6571, 8175, 9777, 11377?\nAnswer: 12975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t + 368 = -2*r, -t + 3*r + 368 = 0. Calculate the greatest common factor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 1\/6 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -8*o + 128. Let q be y(16). Suppose q + 1\/3*h**3 - 1\/3*h**2 - 2\/3*h = 0. What is h?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24790*w**3 + 51319*w**3 - 26523*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = f + 7, -7*f - f + 2*b - 42 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18112511, 18112513, 18112515, 18112517?\n\"Answer: 2*l + 18112509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3785 - 18349.81.\nAnswer: -22134.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.2 (b) -109 (c) -5 (d) -435\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1\/8, 2\/5, 5, 1, -1020?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4108 or 12\/11?\nAnswer: -4108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 250 - -50?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 78*k - 140*k + 3 + 77*k. Let t(y) = y. Calculate t(w(q)).\nAnswer: 15*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 - 122. Let h = -25 - a. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (4 - (-7 - -16)) - ((0 - -70) + 8)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*s**2*x**2 + s**2 - 35*s*u**2 + 5*s*u - 22*u**2*x - 2*x**2 wrt x.\nAnswer: 36*s**2*x - 22*u**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*l = 658*l - 2*a - 6, a - 24 = -4*l + 5*a for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 + -37. Let g = r + 163.897. Round g to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (2 + 14 - 3). Let j be 5\/(-30) - 62\/u. Solve x + 0*x = j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3, -1, -56, -85, -4, -99?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 19*n**2 + 3*n - 93. What is the tens digit of h(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1120 by 4.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -32627355 at least as big as -32627356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:18 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1487959 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - 1. What is the smallest value in 0.3, 1\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*b**4 - 2*b**3 - 216*b**2 + 31145 wrt b.\nAnswer: -68*b**3 - 6*b**2 - 432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -19. Let l(u) be the second derivative of u**3\/3 - u**2 + u. Let h be l(w). Solve -3*b - 16 = 2*b + 2*m, -h*m = 4*b + 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2106 and 72603?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1408025 divided by 17\nAnswer: 82825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -134424 divided by -1680?\nAnswer: 5601\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eevvee. Give prob of sequence eve.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5671*c + 3062333. Calculate g(540).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-450)\/(-20))\/15)\/(3\/8). Suppose -4*i - l*z = -20, -2*i = -z + 2*z - 5. Let g be (-2)\/(-7) - 92\/(-266). Which is bigger: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, -5, 0.3, -3\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 12*p**6 + 221*p**3\/6 + 479*p. What is the second derivative of o(a) wrt a?\nAnswer: 4320*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 29*l**2 - 26*l - 52. Let y be r(28). Solve 0*s + 2*k = 5*s + 10, 4*k = -y*s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101110011 - -101010110?\nAnswer: -100000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1622 = -3*c + 4*c, 10 = -5*c. List 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 the ten thousands digit of 3408646?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g. Let p = -6 - -8. Suppose -4*b = p*r + 6 - 28, -2*b - 5*r + 7 = 0. What is the tens digit of m(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10230385 and 1485.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (sqrt(1216) - (1 + sqrt(1216))))**2*-4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5100 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxxglnxx. What is prob of picking 3 x and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.1. Let d = 7 + -6. Let s = -1 + d. What is the closest to 1 in c, s, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -771*s + 6402?\nAnswer: -771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 5*r + 3. Let i(g) = -g**3 - 6*g**2 + 5. Let q be i(-6). Let p be 1*5\/(q\/3). Calculate k(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1 - -2)*1. Suppose 0 = 3*q - m - 8. What are the prime factors of ((-15)\/6 - q)*-2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 + 531 = 46*d. Suppose 15 = -3*g, 6*v - d*v - 1 = 3*g. Solve -v + 4 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-5))\/((-8)\/(-100)). Suppose 7*n = p*n - 237. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 84.\nAnswer: 13\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/52)\/(-1*9) + (-238)\/441\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-27))\/1*738\/410?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*y**3 - 80*m - 11*y**3 wrt y.\nAnswer: -3*m*y**2 - 33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**5\/20 - y**4\/24 + y**3\/3 - 3*y**2. What is the tens digit of n(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(16\/7)*p*p**(-11))\/(p**(2\/11)\/(p\/(p\/((((p\/(((p\/p**21)\/p)\/p))\/p)\/p*p)\/p)))) assuming p is positive.\nAnswer: p**(1086\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*4*(-1 + sqrt(1584)))**2.\nAnswer: -9600*sqrt(11) + 634000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 532701*x**4 - 11*x**3 - 1548*x + 642 wrt x?\nAnswer: 6392412*x**2 - 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x + 19. Is y(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/3 - 320*d**2\/3 + 12584*d\/3 - 48672.\nAnswer: 2*(d - 108)*(d - 26)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2823 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*v = 258*v + 69020. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -4*w - 3*h, 2*h + 89 = 3*w + 3*h. Which is the nearest to w? (a) 1\/3 (b) -4\/5 (c) -1.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2 + 12*d - 20. Let n(w) = 24*w**2 - 60*w + 100. What is 3*n(q) + 14*t(q)?\nAnswer: 2*q**2 - 12*q + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (-3*sqrt(153))**2 + sqrt(153).\nAnswer: 3*sqrt(17) + 1375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 4\/9, -55\/4, 42 in descending order.\nAnswer: 42, 4\/9, 0.1, -55\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 463 * -281007\nAnswer: -130106241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 117097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.772, 3, -753?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 12*q**2 - q - 3. What is m(-11)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -4. Let p(x) = -9*x + 1. Is p(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + -4*(sqrt(68) + 3) - -1*(-5 + sqrt(1700) + -5)).\nAnswer: -25 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/(-44))\/(1\/((-214)\/(-6))) and 38\/9?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -20*t - 13. Let q(w) = 13*w + 9. Let p(d) = -5*l(d) - 8*q(d). Let c be p(-4). List the prime factors of (c - 15)\/(0 + -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, y: 2, h: 5}. Give prob of picking 1 z and 1 y.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/((-34914)\/23)*((0 - 4) + -26).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 4:02 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfpfgppgdxpkppp. Give prob of sequence kd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 0*b**3 + b**3)*(2 - 2 - 1 - 3 + 3 - 4 + 0 + 1 - 2 + (-2 - 3 + 3)*(2 - 4 + 0)).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 36.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 15*z**2 - 4*z - 8. Give h(14).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4839*s**3 + 30951 wrt s.\nAnswer: -14517*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 524623?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3372 + 5531 - 5011)*(-1 - 2 - 2)*(j**4 + 0*j + 0*j).\nAnswer: 14260*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4030.\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*t**3)*(-233 - 75 - 127)*(t + 3*t + 0*t).\nAnswer: -3480*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 2) + 18 + 30\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddcdd. Give prob of sequence cdcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/36 and 127\/342.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 8*v**2 - 5*v - 3. Calculate m(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 144 + -146.66. Let a = p + 0.16. Let k = 3 + a. What is the nearest to -1\/3 in k, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**(-40))**(2\/53)*((v**0\/v*v)\/v)**(-15)*(v*v\/v**(-1\/3))**(-45) assuming v is positive.\nAnswer: v**(-4810\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 8:31 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4138109 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 274 + -269. Suppose 0*t - 1080 = -4*t - 3*g, -y*t - g = -1339. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Let g(y) = -28*y - 1337. What is g(-48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 267, 900, 2129, 4152, 7167?\nAnswer: 11372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b + b)*(-427 - 1678 + 121 - 710 + 58).\nAnswer: 2636*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (1 - 3) + (7 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.2, 0.4, 0.025, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, -49, -219, -549, -1093?\n\"Answer: -9*d**3 + d**2 - 4*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 bigger than -0.1591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:23 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25.65267 microseconds?\nAnswer: 0.0000004275445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/13 or 1.43?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 2*m**2 - 50*m + 17690. Does 260 divide r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 906017 divided by 373\nAnswer: 2429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 15 = 3*q, -3*q + 120*h - 33 = 125*h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8588.41l?\nAnswer: 8588410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257180.\nAnswer: 2, 5, 7, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 216038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*c**2 + 0 - 1\/2*c = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, k: 5}. What is prob of sequence vkv?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.07 - 32.53. Let y = k - -5.6. Let m = 30.99999903 + y. Round m to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiji when four letters picked without replacement from ijjiji?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11492, 11445, 11398?\n\"Answer: -47*b + 11539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 531\/10. Let t = r + -12\/5. Let q be (1 + 0)*(1 + -4). Is t less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 413454 - -100?\nAnswer: 413554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - v + 0*v)*(3*v**3 - 2*v**3 - 3*v**3) - 4*v**4 - 768125*v + 768125*v + 2*v**4 - 9102*v**3.\nAnswer: 4*v**4 - 9102*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1316489*h*m**3*n**2 - 5*h*m**2*n**3 - 6*h*m - 3*h*n**2 + m**3*n**3 + 17*m**2*n**3 + 21*n**2 - 1 wrt m?\nAnswer: -7898934*h*n**2 + 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368323311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57492\/89 + -646. Let k(g) = g**2 + 17*g + 15. Let y be k(-16). Which is bigger: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 185*k**2 - 3*k - 1. Let c be y(4). Suppose -c = -5*r - 1202. Suppose 4*x - r = 223. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dccccdddcc. Give prob of picking 2 d.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 4:08 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123 - 121. Suppose 6*y = 5*y + k. Suppose 2*t - 352 = l - 50, -302 = -y*t - 3*l. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 + -1 - 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48561 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 64*r**3 + 5*r**2 + 9*r + 2. Let t(i) = -32*i**3 - 3*i**2 - 5*i - 1. Let z(d) = 3*o(d) + 5*t(d). Is z(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.9 + 27. Let i = 1\/148 - 963\/148. Let b = i + 7. Which is bigger: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.295.\nAnswer: -0.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 43. Let k(l) = 3*l + 13. What is the units digit of k(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7082468?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4777*m - 1298*m - 1738*m - 1743*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0329421833 to 5 decimal places.\nAnswer: 0.03294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11374360 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 284929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 14, 4, -0.03 in descending order.\nAnswer: 14, 4, -0.03, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17006959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 + 54 - 20)*(1 + 10 - 2)*(4*r - 4*r + 5*r) as p*r + o and give p.\nAnswer: 2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.1. Let c(d) = -d**2 - d + 4. Let h be c(-2). What is the closest to 2\/7 in 0.2, h, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.19 + -7.16. Let n = 4.34 + 17.66. Let l = y - n. Round l to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 2666475?\nAnswer: 10665900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197*b**4 + 1 + 0 - 4 + 1367*b**2 + 1 - 1366*b**2 to the form n*b**3 + k*b**2 + l*b + v*b**4 + x and give v.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -35 - (12 - 19) - (-3 - 8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 53. Which is the nearest to p? (a) 2\/15 (b) -0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5689?\nAnswer: 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3956.6 rounded to the nearest one hundred?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059733?\nAnswer: 1059733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/24)\/((799\/3060)\/47).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 4. Let y be r(5). Let a(h) = 16075*h - 16070*h - 2 + 2. What is a(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = h - 21, 0 = 5*c - 28*h + 30*h + 33 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46842, 5, -5, -1, 39, 3.\nAnswer: -46842, -5, -1, 3, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**5\/2 - 215*o**4\/2 - 21095*o**3\/2 + 1058855*o**2\/2 - 2440275*o + 2848860 = 0.\nAnswer: -68, 2, 3, 49, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -30. Differentiate -23 + 11*k**4 + i*k + 9 - 3*k wrt k.\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1596 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 28 = -4*t - 4*v, -4*v - 16 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2272234 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**5\/10 + 10*w**4\/3 - 100*w**3\/3 + 4*w + 13. Let l(f) = 0. What is f?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*(sqrt(72) + 1) + sqrt(72) + sqrt(72))**2 + -2 + 0 + sqrt(72)) - (sqrt(72) + -2*sqrt(72)*-2 + 2*sqrt(72) + -4)*6.\nAnswer: -1130 - 354*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = 4*q + r - 7, 12 = -3*q + 5*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)*p*p**(-2\/23)*p*((p*(p\/(p\/(p*p\/(p*p\/p**1)*p)))\/p*p*p)\/p)**(-1\/8)*(p*p**(-4\/9)*p\/((p*p**(-6))\/p))**(-3) assuming p is positive.\nAnswer: p**(-13319\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 5, -0.3, -0.014, 0.3, 14, 0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200653 (base 7) in base 14?\nAnswer: 1846d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*v - 50 = 0, -q + 296*v + 10 = 298*v. Suppose 8 = -4*s - 4*u, -3 + 2 = 3*s - 2*u. Let t = s + 4. Solve i + 3*p = q, -t = -3*p + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -6. Suppose -8 = -3*r + z. Suppose r*h - 6 - 2 = -4*j, 3*h - 2*j - 1 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2458 + 98247\/40. What is the common denominator of (-1 - (-5)\/6) + 589\/(-155) and r?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12352 - 10305?\nAnswer: -23101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/61, -0.17, 0.9, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1521\/2028*(8\/(-5))\/((-14)\/260*4)\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 734 + -441. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-12))\/1*30221. Let j = -5016 + g. Calculate the common denominator of j and 54\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3.1. Let k = 161 + -811\/5. Which is the nearest to 1\/3? (a) x (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c**2 - 5*c**2 - 12*c**2. Let h(y) = -2*y**2 + 3*y**2 + 0*y**2. Give d(h(x)).\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 21 = z, 12*z + 3*j + 27 = 8*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-10))\/((754\/121771)\/(4\/19)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {p: 2, r: 1, d: 1, e: 9}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 388*t**2 + 1989*t - 176. Give h(-199).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 + 119 + 0*o**2 - 2*o - 121. Let l(g) = -5*g**2 - 5*g - 5. Let v be (-4)\/22 + (-22)\/(-121) + -2. Determine v*l(c) + 5*j(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 48653*c - 17001955. Determine o(-352).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 2:40 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*w**2 - 44 - 6*w**2 + 39 as v*w**2 + q*w + r and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {o: 2, r: 2, a: 1, m: 1, n: 1, h: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Let l be (0\/q - -2) + 19. Let t = -15 + l. What is the remainder when 17 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64) + -4*sqrt(64)*2)\/((sqrt(392) - ((sqrt(392) - sqrt(392)*1) + sqrt(392))) + sqrt(8))*2 + 1.\nAnswer: -28*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11937 - 11937.0000006077. Round q to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6831 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6 = -6*b. Let d(r) = r. Let m(y) = -5*y + 0 - 1 + 2*y + 2. Let x(h) = b*m(h) + 4*d(h). What is the first derivative of x(f) wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 936596.1ng to grams.\nAnswer: 0.0009365961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163220 is divided by 53861.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8766772187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, -5, 0.021, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 76 divided by -5\nAnswer: -76\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13573 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39195 is divided by 97?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**0\/m))**25)**44\/((m*m**2*m)\/(m\/(m*m**(3\/5))))**(-12\/13) assuming m is positive.\nAnswer: m**(214776\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 306*q**3 + 28*q**4 - 602*q**3 + 298*q**3 - q**2 to t*q**4 + o*q**2 + y + i*q**3 + g*q and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j + 11 = 0. Let o(g) = g**2 - 12*g + 15. Let b be o(j). Solve -v + x - 5*x - 23 = 0, -b*x - 20 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12, 37, 78, 135?\n\"Answer: 8*w**2 + w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 577\/(-25) + (-14790)\/(-870) + (1 - -5).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {k: 1, o: 6, a: 1, q: 1}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 10:32 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.76 + 0.75933. What is o rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 615 - 4*m + m - 619 + m**3 - 2*m**2. Let n(s) = s**2 + 6*s + 4. Let w be n(-6). Give v(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4 - 81165*x**3 - 324699*x**2 - 243531*x = 0 for x.\nAnswer: -3, -1, 0, 27059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h + 64*h - 4*c = -9, -2*c - 8 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2) - (-130 + 4). Let g(t) = 15*t**2 + 6*t + 2. Let l be g(-2). Suppose -j = -4*d + 4*c, 57 = 4*d + 3*c - l. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**3\/9 - 31*g**2\/9 - 44*g + 160 = 0.\nAnswer: -12, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 498485?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*d - 25 = -10, -3*y + 5*d + 10 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760*k + 2764 = -276 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmsmfmmccmfmmcsmfmm. Give prob of sequence csc.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t + 3*t + 105 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3*b = -23, -3*x + 2*b + 14 = 6*b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*i**2 - 6*i**2 - 6*i**2 - 9*i**2 in the form r*i + q + u*i**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 582*n**3 - 4*n**2 - n - 1. Let w be j(2). Suppose -16*d + w = 237. What is the highest common factor of 25 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**7\/1155 + 3*o**6\/110 - 23*o**5\/66 + 16*o**2 + 113*o. Determine i so that h(i) = 0.\nAnswer: -23, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 11, -24, -73, -136, -213?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3018961?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 * 831.\nAnswer: 44874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -25\/9. Suppose d = -x - 2, 5*d - 3 = -2*x + 2. Which is the nearest to d? (a) -2\/3 (b) -6\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-360)\/32)\/(5\/(-300))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111102245 and 3035?\nAnswer: 3035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -266 - -271. Suppose c*t + 69 - 384 = 0. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**4 + 5*n**2 - 3*n**4 - 3*n**4)*(-2*n + 2*n + n).\nAnswer: -n**5 + 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-144) + (-1)\/4. Let x = -4.73071 + -0.26929. What is the closest to 1 in x, -1.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*f + 360, -3*m + 15*f + 241 = 13*f. Solve 78*h - 4 = m*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -38. Let w(g) = 3*g + 57. Let k be w(-9). Calculate the greatest common factor of j and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**2 - 27*i - 10. Let d be v(-3). Suppose -9*x + 14 = -4. Sort x, 1, d, -5.\nAnswer: -5, d, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 18. Let n be (-3 + u*-6)*1. Is -0.1 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fufuffffuufffffu. What is prob of picking 1 f and 2 u?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194111369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/136)\/(6\/(-11)). Let x = z + 1697\/612. What is the common denominator of (2\/(-9))\/(3281\/6369) and x?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011212 + -122112210?\nAnswer: -112100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m*m\/(m*m**(3\/5)))\/m))*m**(-4\/7))\/(((m*m*m**0)\/m)\/m*m)**(2\/3) assuming m is positive.\nAnswer: m**(-193\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 + 10*m**3 + m**3 - 6 + 6.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6*i. Suppose -4 = v - i. What is the units digit of (-30)\/v*(-12)\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * 0.05.\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2937 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 2*d**2 - 24*d + 1. Let p be a(-6). Which is smaller: -1\/101 or p?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -1\/4, 74, 12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-258)\/11 + -45 + 69.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by -15.\nAnswer: -89\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-488)\/(-7) - 40\/(-140)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3483402181?\nAnswer: 7, 347, 1434089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 6020 = -13*k. What are the prime factors of k?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/5)\/(858\/1170))\/((-160)\/55)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 4988.\nAnswer: 4988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (4\/(-6))\/((-2)\/(-3)). What is the remainder when (7 + (-7 - -6))\/(3\/y) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*p + 10 = -9, 2*c + 8 = p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 - 44*o + 3*o**4 + 40*o - 1 + o**2 to the form m*o**2 + f*o**4 + r*o**3 + t + y*o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16978757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3123275159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15363 and 2427.\nAnswer: 12428667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - v**2 - v + 1. Let m(c) = -14*c**3 - 16*c**2 - 16*c + 14. Let f(h) = 80*l(h) - 5*m(h). Differentiate f(a) with respect to a.\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/44 and 167\/34380?\nAnswer: 378180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 151252 - 74435 - 8082*k**2 - 74583 wrt k.\nAnswer: -16164*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*j**5 - 4*j - 44*j**5 + 5*j wrt j?\nAnswer: -180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*q**2 + 28*q**2 - 22*q + 21*q + 548 + 107*q**3 wrt q?\nAnswer: 321*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 7*g - 28 + 50 to the form f + i*g and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 14*a + 4. Let r be l(6). Suppose -h + 14 = -2*z + 3*z, -2*z + 4*h = -r. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*f**2 + 2*f - 2*f.\nAnswer: -283*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**4\/4 + 2*n**3 - 5*n**2\/2 - 2*n + 301. Let x(p) = 2*p + 1. Suppose 0 = 4*t + 1 - 9. Let i be x(t). Calculate f(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(-7)*p*p))\/p)\/p)**(-2\/21)*(p\/(p**24\/p*p))\/p**(-39) assuming p is positive.\nAnswer: p**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(2880))\/((sqrt(9) - sqrt(90)\/sqrt(160)) + sqrt(9)).\nAnswer: -96*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*d + 84*p - 88*p - 512 = 0, -5*p = -4*d + 3 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2b66 (base 12) to base 3\nAnswer: 21000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3294490 is divided by 3294488.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 157 + -219 - (-13 - 5)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 1018655 (base 10) in base 2?\nAnswer: 11111000101100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/((-5)\/(-40)). Let p be (-10)\/(-2) + -3 - 0. Put -5, a, p in decreasing order.\nAnswer: p, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.7344274 to 2 decimal places.\nAnswer: -28.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001111001000 (base 2) to base 8.\nAnswer: -21710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - 1432?\nAnswer: -1447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 7:37 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (580\/(-21))\/20 - 10\/(-6)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10964 + 8736. What is the thousands digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -23 + 10*f**2 + 0*f**2 + 23 + 13*f**2. Let v(r) = -8*r**2. Give v(o(x)).\nAnswer: -4232*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.0511 - -0.0511. Let k = -205 + 205.08. Which is the second biggest value? (a) -23 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -7\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 144 = -3*v - 2492, 16 = -4*v. What are the prime factors of o?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2220 divided by -1110\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g + 16 = 0. Let l be 0 + 413 - (g - 7). Suppose -q = -3*q + l. What is the greatest common divisor of q and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 1 + 1)*(-4*b - b + 3*b) + 5*b**2 + 0*b**2 - b**2 to w*b + g + y*b**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/8*6\/(-5). Let f = 3 - 2.5. Which is the biggest value? (a) t (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -2*i**6\/75 - 4216*i**5\/25 - 2221832*i**4\/5 - 9367243712*i**3\/15 - 2468268718112*i**2\/5 + 3710*i + 2. Factor n(o).\nAnswer: -4*(o + 1054)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 27 (b) 2 (c) -0.13 (d) -2.3 (e) 0.5 (f) 0.13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1034653 and -0.4.\nAnswer: 413861.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 202. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**3 - 2*z**2 - 5*z - 3. Let y(k) = 8*k**3 - 3*k**2 - 9*k - 5. Let j(s) = -5*q(s) + 3*y(s). Give j(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*k + 11 = -0*r, -4*k = -r + 16. Suppose 0 = -7*u + 6*u + 5, y = -r*u + 240. What is the highest common divisor of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (1 + sqrt(147) + sqrt(147))*4)**2.\nAnswer: 2240*sqrt(3) + 37732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 321 - 353 - 7*m**2 - 3*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 12:53 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4637 - 4779. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.079? (a) -5 (b) 2\/7 (c) -7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 147?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*m + 9, 0*m - 5*k - 12 = m. Let n = 35 + -176\/5. What is the nearest to 0 in 0.1, n, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -61.8, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 - 101. Let u = 31 - t. Which is the nearest to 0? (a) u (b) -2 (c) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + ((sqrt(378)*1 - sqrt(42))\/sqrt(6))**2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081 times 0.97?\nAnswer: 0.07857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-168)\/35 - -5) - 76\/(-60).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14151 + 14334. Solve -38*f - 83 = k for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 4 - 3*n**3 + 2*n**3 - 6*n**2 + 0*n**3 + n**2. Calculate i(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 3*c**2 - 3*c**2 + (c + 45*c**2 + 87*c**2 + 31*c**2)*((0 - 1 - 1)*(-c + 4*c - c) - 16 + 9 - 16 - 2*c).\nAnswer: -977*c**3 - 3755*c**2 - 23*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 36*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -345 * -6\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 10*m + 3. Suppose -m*a = -3, 0*s - a = -s + 64. Suppose 0 = o - s + 10. Calculate the remainder when o is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 - 2 = 0. Let a = -126 - -130. Solve -t + 4 = t - d*z, 0 = -t + a*z + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-82)\/(-5) - 4\/10. Suppose -3*o + 14 - 2 = 0. What is the greatest common factor of m and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j + 6. Let d = 171 + -169. Let l be w(d). Suppose 4*g + 4*n = n + 1, 4*g + 4*n + 4 = 0. Sort l, g, -10 in decreasing order.\nAnswer: g, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(187)*1)\/((sqrt(22) - -1*sqrt(22))\/sqrt(2)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 16*c + 48.\nAnswer: (c - 12)*(c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 3:25 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13874*m*u**2 + 7974*u**2 - 1 wrt m.\nAnswer: 13874*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -4, -1, 9 in increasing order.\nAnswer: -5, -4, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d + 5*h + 768, 3*d - 768 = -3*h. Suppose -625 = -4*l + 3*t, 901 = 4*l + t + d. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 1. Let p(i) = 2*i**3 + 2*i**2 + 4. Let o be 1*(2 - 8) + 1. Let h = o + 8. What is h*w(l) - p(l)?\nAnswer: -2*l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 0, -35, -96, -189, -320, -495, -720?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 337*n**2 + 1776*n - 577. Calculate j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.324 - 0.364. Let b = 3.3 - 3.29. Is b > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 839463368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 53 (b) 0.063 (c) 0.4 (d) -0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1281341954.00000052 + -1281341933. Let b = w + -21. What is b rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1.532600847\nAnswer: -1.467399153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(252)*1*-3 + ((-2 + sqrt(252))*-4)**2 + 2)*-2 + -1 + 0.\nAnswer: -8197 + 732*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(1 - (-15)\/(-25)). Let y = h + 0. Suppose 4*q - 217 = -q - 3*b, y*q = -5*b + 171. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-3)*516\/(-28).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + 4*k**2 - 6*k**2 + (-5*k - 4*k**2 + 5*k)*(3 - 4 + 2).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0229 + 6.6129. Let p = -6.58379 + f. Round p to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 210?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 124975 divided by -587?\nAnswer: -124975\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(647\/(-14234)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/56 and -121\/1820?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 21 + 9 + 588*c**2.\nAnswer: 588*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -19 times -0.74\nAnswer: 14.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0) + 501\/180. Let v = r + -31\/12. Factor 0 + 2\/5*t**2 - 2\/5*t + v*t**4 + 2*t**3.\nAnswer: 2*t*(t + 1)**2*(3*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2*s*s)\/s*s**(-17))\/((s*s\/(s**(-26)\/s))\/s**(-1)) assuming s is positive.\nAnswer: s**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - k + 2*k = 0. Solve k = 2*x - 5 + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -325*p + 23. Let b(f) = -9*f. What is b(y(o))?\nAnswer: 2925*o - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1761, -4536, -8319, -13110?\nAnswer: -18909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 36, -55, -3, -0.21, 34, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18431437 to the power of 1\/2, to the nearest integer?\nAnswer: 4293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 5*n + 4. Let g be t(-4). Suppose g = o - 3*w - 71, 2*o = -0*w + 3*w + 157. Suppose -b + o = 21. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*i = 250*i + 32 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (338\/(-78))\/(-13)*(164164 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -10. Suppose 5*c + 18 = a*c. Find the common denominator of (-8)\/((-2)\/11*c) and 71\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29802 - -29799.3117. Let a = 23.2 - 25.91. Let v = a - q. What is v rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {i: 1, l: 4, z: 6}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7*a + 3778 = -i, -3*a = -3*i + 3774. What is a rounded to the nearest ten?\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 664 - 654. Let h = 18 + -14. Solve 0 = -4*k - f - 8 - 3, -h*k - l = 2*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025944?\nAnswer: 2, 257, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + -2.06. Let h = -25.5 + -6.7. Let z = 32 + h. Which is the third biggest value? (a) -2\/5 (b) 0 (c) z (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46217 and 27939199.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from ktkkgtkktkggtk.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 73, 2 in ascending order.\nAnswer: -5, -3, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 26 = 5*l, 4*l = 2*o + 7 - 23. Let m be (-2)\/((-2)\/o*2\/15). Calculate the greatest common divisor of 120 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/11? (a) 5 (b) -2\/11 (c) -1\/2 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3621 + 3959. Calculate the remainder when i is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*11\/1001*35\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 1197 = 11 + 82. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-52)\/(-585)) - 9. Solve -10*q - 8*q = h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in -14, -3, -1\/3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1 + 0*n - 2 - 2 + 10*n**2 - 12*n**2 - 5*n. Let i(b) be the first derivative of -2*b**3\/3 - 2*b**2 - 4*b + 1. Give 4*g(q) - 5*i(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z = -9. Let s = -3 + 1. Let c(j) = -j + 1. Let v be c(s). Solve -v*t - z = -0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyx when three letters picked without replacement from {b: 2, r: 2, c: 2, y: 1, x: 4, k: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -31. Suppose 6*o = v*z + 4*o - 2, -2*o - 2 = 0. Solve z*j = j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1612 and 5512048.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 25 and -68 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -94804564 less than 3?\nAnswer: 94804567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2684693\/60 - 44746. Let t(f) = -16*f - 1. Let a be t(0). Find the common denominator of w and a*(-12)\/(-99) + 154\/77.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 20197922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16b78c3 (base 13) to base 3\nAnswer: -111220020011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 12*f - 9 = 0, 0 = 5*v + 2*f - 41135006. What is v rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -39.5. Let a = 2 + 1. What is the closest to -1 in 2, q, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010902126 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + sqrt(325)*4)*2 + (0 + sqrt(325) + -5)*-2)**2.\nAnswer: -47056 - 1920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*15\/(-6). Let w = 0.4 - 0.8. Let l = w + 0.5. What is the closest to l in p, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-33353\nAnswer: -33352.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 1)*2\/18*(-414)\/92?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/67014 and -71\/163812.\nAnswer: 1474308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95.29999587 + 95.3. Round h to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1) + -7 + 9. Suppose 0 = b*j - 2*j. Let d = -4\/13 - -7\/65. Which is bigger: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -4 + 9 + 1 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 22*l - 192. Let u(g) = -5 - g + 6 + 6. Let o be u(l). Is -2\/3 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1693692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30775 (base 9) to base 15.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4*v, 2*c + 3*v - 24 = -3*c. Suppose -u = c*k - 1, -11 = -3*u + 4*k + 18. Suppose 3*l + 52 = u*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 3*d**2 + 3*d**2 + 2*d**2 + 2 - 2 - d**2 + 5*d - 5*d - d**2 + (d + 4*d - 3*d)*(d + 0*d - 2*d) + d**2 - 4*d**2 + d**2 - 11*d**2 + 86*d - 86*d.\nAnswer: -15*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(-4 + 5 - 3)*(0 - 1 + 4)*(-9*c + 7*c + 9*c) to the form l + o*c and give o.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((5 - 11)\/6)\/1. Let v be (2*(4 - s))\/2. Are 3 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36601995*o - 118187838 wrt o?\nAnswer: 36601995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2461 is divided by 1717?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4\/3, 5, 2\/5, 2 in descending order.\nAnswer: 5, 2, 4\/3, 2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + -5 + (-41 - -59).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 times 51984?\nAnswer: -4470624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1683 + 1943. What is the lowest common multiple of 18 and p?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**8\/2520 + r**7\/630 - r**5\/90 - r**4\/36 + 2*r**3\/3 - 3*r. Let f(d) be the second derivative of o(d). Factor f(y).\nAnswer: 2*(y - 1)*(y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 3*r**2 + 0*r**3 + 7\/24*r**4 + 0 + 0*r. Let d(q) = 62*q + 67*q - 131*q. Determine y(d(z)).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16652034 and 594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(4) - (2*sqrt(245))**2) + 6*(-1*sqrt(15))\/sqrt(3).\nAnswer: -980 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -22. Suppose -3*m + 8*m = 170. Calculate the remainder when m is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992170?\nAnswer: 2, 5, 47, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117911 is divided by 5126.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000148942 rounded to 7 decimal places?\nAnswer: -0.0001489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152481.042 nanoseconds to weeks.\nAnswer: 0.000000000252118125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 52 + 68 = 0. Is -2 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.5, 5, -46?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from sladlansadlddasardld.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6123.5 + -4759. Round o to the nearest ten.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**2 - 539810*j - 14569741805 = 0.\nAnswer: -53981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 150 = -388. Solve -m + 31 - j = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 2 - -1) + 10. Let i(x) = -x**2 + 13*x + 1. Let m be i(g). Solve 28 = 2*w + 4*f + 10, 0 = 2*w + 5*f - m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2 + 15*y + 2*y**2 + 0 - 1 - 3. Let c(l) = -l**2 - 10*l + 1. Let f(t) = -8*c(t) - 5*s(t). Determine f(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -275878 less than -275871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 25*r + 102 = 0. Solve -5*m - 33 - 2 = -4*w, 0 = -3*m - 3*w + r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1395*s**2 - 18138*s - 18. Determine h(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 34 = 3*g, 5*g - 10 = 3*y - 4*y. Let o(v) = v**2 + 5*v. Calculate o(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 225378*k**2 + 3605536*k.\nAnswer: 2*k*(k + 16)*(k + 112673)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015941 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + -0.04. Let m = -0.34 + r. Let t = -1 - -2. Which is the closest to t? (a) -2 (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91706997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*m + 6. Suppose -3*w - 101 = -8*w + m*j, -4*w + 73 = j. Solve -6 = 2*l - k, l - 4*k + w = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u. Let w(f) be the first derivative of 5*f**2\/2 - 15. What is w(o(m))?\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmxgmmmiimmmmmqmmm. Give prob of sequence xi.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7400 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57056236 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-3)))**12\/((d*d**(-2\/9))\/(d**(-6)\/d)) assuming d is positive.\nAnswer: d**(254\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1941344 to 2 dps.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*h + 3*h - 13*h + (-3*h + h + h)*(3 - 5 + 1).\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 497096*g**3 + 10*g**2 - 8*g**2.\nAnswer: -497096*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 385, 1050, 2299, 4318, 7293, 11410?\nAnswer: 16855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(4 - 4 - 3 + (-6 + 0 + 4)*(3 - 1 - 4))*(18*k + 28*k + k) to y + t*k and give t.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4)*g**(10\/3)*(g\/g**6)**(-14\/3) assuming g is positive.\nAnswer: g**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 3 (c) -1 (d) 0.11 (e) -0.13 (f) 0.25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 336821*h**5 - 82917*h**2 - 4?\nAnswer: 20209260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38\/(4\/6*3) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -277*h + 1855. Determine w(9).\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 0.1, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/628 and 56\/20253.\nAnswer: 81012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15885685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -5) + 2 + 28 + -90.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 4*p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 289*c**2 + 50*c - 150. Let a be x(3). Are a and 2602 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -92, -211, -330?\n\"Answer: -119*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 + 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) - (50754\/2610)\/11. Let q = f - -1\/29. Let t be (((-20)\/(-104))\/5)\/((-1)\/4). What is the third smallest value in -2\/5, 0, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*u + 1180012, -h - 4*u + 58494 = -531494. What is h rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1427*0.14.\nAnswer: 199.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -462, -7928\/17, 0.3, -2.\nAnswer: -7928\/17, -462, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4563 and 559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -67. What is n rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1511, 1510, 1497, 1466, 1411, 1326?\n\"Answer: -s**3 + 6*s + 1506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {f: 1, q: 1, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (4 + 1 + -31 - -3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21393 - 1393. What is p rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*n + 47, -5 + 47 = 4*s + 2*n. Solve 4*j = -2*d - j + s, -4*j + 4 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 7 + -8 + -6 + 32 + -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3. Let n = 1 - r. Let d = -105.8 - -100.8. What is the nearest to -2\/3 in 0.2, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x**2 + 7*x - 10. What is a(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1449 by 3.\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4040989 from -16472.\nAnswer: -16472.4040989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) - -3*sqrt(1539)*2) + 3 - (-1 + sqrt(1539)*-4 + -1))**2.\nAnswer: 990*sqrt(19) + 186244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 1\/4 (b) 0.313383 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = v, 5*z + 0 = 20. Let g be (-1 + 5 - v)\/6. Factor 2\/3*n - 4\/3 + g*n**2.\nAnswer: 2*(n - 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsnn when four letters picked without replacement from ssnsnpsncns?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.135 + -0.165. Let j be 11\/(-15) + (-4)\/(-12). Which is the closest to -1\/4? (a) -5 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7700 and 2926?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2835*c = -914*c + 19210 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1638 and 630?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1100831 - 13*h - 498*h + 1100834.\nAnswer: -511*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 7*t - 3*t + 10 + 29*t + 16 as p + u*t and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92082 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuywwuuuuuuuuw. What is prob of picking 3 w and 1 u?\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1750 - 1752. Let r = 2.44 - 2.5. What is the second smallest value in -3\/7, i, r?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1238, 6271, 18922, 43001, 82318, 140683, 221906, 329797?\nAnswer: 468166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*f = -1, 15 = -0*j + 3*j - 2*f. What is the remainder when j is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z + 1. Let o(w) = -3*w - 1. Let b(p) = -3*k(p) - 7*o(p). Let q be b(1). Let n(a) = -5*a + 7. Let m(i) = -6*i + 8. Calculate q*n(g) - 6*m(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -19*a + 2. Let h be l(-3). Let w = h - 59. Sort 2, 1, 4, w.\nAnswer: w, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(144)\/sqrt(6))\/(sqrt(200)*5)*1)**2.\nAnswer: 3\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -926, -1939, -3688, -6221, -9586?\n\"Answer: -8*r**3 - 320*r**2 + 3*r - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 7:43 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - 2741865.09886.\nAnswer: -2741865.03886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44.4 - -44. What is the closest to 1\/2 in k, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 1. Let o = 102 + -100. Which is the nearest to 2\/11? (a) o (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13 + (-340)\/(-30))*(-2 - (-12)\/15). Suppose -2*b = 4 - 2. Let i = 2 + b. Solve q*m = i + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4 = -h, 0*n - 3*n = 3*h. Suppose 0 = h*r - 12 - 32. Suppose -3*k + r = -5. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32974*v + 34924*v = 216450 for v.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -404 - -407. Let r be 240\/2 - (2 - -1 - w). Calculate the greatest common divisor of r and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 2\/149 (b) -4 (c) -0.01 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 13596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8*t**2 + 15*t**2 + 13*t**2 + 1 to the form q*t + l + r*t**2 and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 10 = t. Suppose -108*k + 110*k = 3*p - 29, 2*p - 21 = 3*k. Put k, t, -2, 2 in ascending order.\nAnswer: -2, k, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3)*5\/(-25).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 137281406 + -5?\nAnswer: 137281401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25694746 rounded to the nearest 10000?\nAnswer: 25690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from cndkwdkq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 869 divided by -2116.\nAnswer: -869\/2116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4444 + -3142. Which is smaller: 1303 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648\/224 - 1*14*(-12)\/(-24)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 5*v + 9*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - ((-12)\/2 - -2). Let q(u) = 8*u - 5. Let b(w) = 4*w - 4. Let v(c) = -5*c + 4. Let m(a) = -2*b(a) - 3*v(a). Determine s*m(i) - 5*q(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 1333.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 6, e: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 79, 183, 339, 553, 831, 1179, 1603?\nAnswer: 2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 11*p**2 - 3*p**2 + 14*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79\/79)\/(4\/28)*(-1)\/5.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -69600 divided by -5\nAnswer: 13920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1872) - sqrt(1872)*-2))**2 + 3 - ((sqrt(104)*-1*-1 + sqrt(104))\/(sqrt(24)\/(sqrt(3)*-2)))**2.\nAnswer: 16643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 3. Let v = -66.932 + 60.932. What is the closest to l in -5, -2, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1107995315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 540658?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 200 - 29*t - 388 + 186 - 8*t to the form h + n*t and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1887 - 1875. What is the greatest common factor of y and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 343313489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p. Suppose -16*t + 228 = 3*h - 11*t, 0 = -5*h - 2*t + 380. Suppose p = -6*l + 110 + h. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 u when three letters picked without replacement from {d: 3, u: 4, v: 1, x: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 8. Let l be (1648\/24)\/((-1)\/j). Suppose -d + 3*d - f = 156, -5*d + l = 3*f. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.098 times 58.1?\nAnswer: 5.6938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -593455*q**3 - 4751461 wrt q?\nAnswer: -1780365*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1919 in -2, -2\/27, -0.05, -0.5, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -232095, -464194, -696293?\n\"Answer: -232099*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (11 + -6)) + 1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-9 + 16 + -33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*t - 6*t**3 + t**3 + 3*t**3 + 0 to the form p*t + v*t**2 + o*t**3 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 10, d: 10}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 7:27 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-375)\/250*(-12)\/27?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*s + 80 = 0, 3*s - 26 = -3*v + 19. What is the smallest common multiple of v and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 626413 divided by 2.\nAnswer: 626413\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -999076 by 22.\nAnswer: -499538\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10832, 21657, 32482?\nAnswer: 43307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 6. Let y be a(-6). Let h = 57\/2 + y. What is the common denominator of h and 137\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32498 - 41269 = -106*w + 22693. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 13*l + 331. Let v be w(-25). Solve -4*g - v = a - 3*a, -5*a - 5*g - 45 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**4 + 960*h**3 + 29178*h**2 + 218688*h - 248829 = 0. Calculate h.\nAnswer: -287, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(2\/11)\/o)*o)\/o**(-1)*o\/o**(-6)*o\/(o**7\/o) assuming o is positive.\nAnswer: o**(64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*a - 25, -a - 4*y + 0 = -1. Let q(p) = -13*p**2 - 4*p + 7. Let v(h) = -6*h**2 - 2*h + 3. Calculate a*v(f) - 4*q(f).\nAnswer: -2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -250\/3 - 350\/3*h + 92\/3*h**3 - 26\/3*h**4 + 2\/3*h**5 + 20\/3*h**2.\nAnswer: 2*(h - 5)**3*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) - (-100)\/(-12). Put b, 1, -3, 3 in descending order.\nAnswer: 3, 1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6312 + 6312.000065176. What is r rounded to 7 dps?\nAnswer: 0.0000652","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxvxvvxxxxxx. Give prob of picking 2 v and 1 x.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-10 + -6 + 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -270162.3590425 - -124248.35204135. Let x = -145914 - f. Let u = 0.007 - x. What is u rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17085 - 9037. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 15*m - 37. Suppose 4*u = -3*z + 69, 2*u + 3*z - 23 = 10. Calculate the remainder when y(u) is divided by (-74)\/(-14) - 2\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432\/3885 - ((-2100)\/(-518) - 4).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.01 - 0.51. What is the fourth biggest value in b, 10\/189, -5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4039, 4049, 4059, 4069, 4079, 4089?\n\"Answer: 10*x + 4029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 12, -8, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 3*p - 11*p to l + v*p and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56, -105, -154, -203, -252?\n\"Answer: -49*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 - 3*x**3 + 3*x**3)*(52*x + 143 - 143).\nAnswer: 104*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14 + 0*k**2 + 5*k + k**2 + 5 + 4*k. Let j be i(-10). Suppose -19*w + 8*w = -0*w + 11. Put 2, w, j in increasing order.\nAnswer: w, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/477604 and -11\/61848.\nAnswer: 8596872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*c + 460*c + 92 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/3159, 0.1, 0.2, -222, 2\/7?\nAnswer: 1\/3159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 15*i**2. Let g(d) = -2*d**2 - 4*d + 4. Let h(k) = k**2 + k - 1. Let w = -25 - -29. Let m(p) = w*h(p) + g(p). What is m(s(l))?\nAnswer: 450*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/2)\/((-1)\/(-4)). Let f(n) = n - 6. Let a be f(h). Is -3 + 3 + 1 - a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 2. Let t be i(3). Suppose 19 - 7 = -3*v. Let d be 2\/3 - (-26)\/6. Sort t, v, d in increasing order.\nAnswer: v, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, 0.09, -0.5, -690, 0.4 in descending order.\nAnswer: 6\/5, 0.4, 0.09, -0.5, -690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.211 + -0.291. Let q = -20 - -20.18. Let z = h + q. Are z and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/(9\/(-1572)). Let i = 428 + u. What are the prime factors of i?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.72 - -35.81. Let u = 31.36 - s. What is u rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwxtxxxzzxgxxxwxz. What is prob of sequence ww?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -473.7901 - -4.2801. Let b = -467 - h. Round b to 1 dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59930065 divided by 2605655.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136 or -135?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 28*b - 9 = 0. Let n(h) = 3*h - 4. What is the remainder when b is divided by n(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*d + 18, -3 = 3*w + 2*d + 3*d. Suppose 8*j = 3*j + 5, 3*j = -w*g + 247. What are the prime factors of g?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-7.394447.\nAnswer: 2.9577788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*s = 0. Suppose 2*w = -4*d + 22, -2*d + 5*w + 2 + 3 = s. Find the third derivative of -2*b**d - b**5 - 4*b**2 - 5*b**5 wrt b.\nAnswer: -480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73278 - 5866*o - 7709*o - 73278 to the form q + z*o and give z.\nAnswer: -13575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -182\/5. What is the biggest value in -0.4, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, u: 1, x: 1, t: 1, q: 2, i: 1}. Give prob of picking 2 r, 1 q, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3624, -43711, -152500, -364341, -713584, -1234579?\nAnswer: -1961676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.106\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-36))\/((-4)\/18).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 6*p + 2*p)*(-313*p - 1519*p - 275*p - 1187*p + 7*p).\nAnswer: 6574*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by 32\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-50)\/(-700)*42\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-3)\/6*-2. Suppose q + 4*c = -2*q - a, 0 = 5*q + 5*c + 10. Is 15 a factor of ((-15)\/q + -2)*38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4916835, 9833672, 14750511, 19667352, 24584195, 29501040?\n\"Answer: x**2 + 4916834*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -800716, 1 in decreasing order.\nAnswer: 1, -4, -800716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -8, 18, 1\/2, 1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -8818658128.\nAnswer: 8818658127.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 12*m**2 - 10*m - 8. Let i be b(11). Let w = 5 + i. Solve 13 = q + 2*h + 3*h, q - 2*h = -w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -619*l**4\/24 + 108*l**3 + 1071*l**2. Find the first derivative of s(a) wrt a.\nAnswer: -619","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-2 + (-7)\/(-2)) - 0. Let n be 607 - (-1 + k) - (-10 + 10). What is the highest common factor of n and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -4)\/(-2 - 0). Is 18\/21*q*-28 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnhmrnbnnnrm. Give prob of sequence nrmb.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 o when three letters picked without replacement from {w: 2, q: 1, o: 1, b: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.114226619 to one dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 5) in base 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -9 (c) 2720\/1541 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12))\/((-24)\/(-18))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2936.743718635 + -0.38\nAnswer: -2937.123718635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1589.939428 to 1 decimal place.\nAnswer: -1589.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2)*(2 - 4 + 3)*(1 + m + 3 - 1).\nAnswer: 4*m + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kxkkkkxxkxkkxkkkxkk?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 36*k + 71)*(-189*k**3 + 9848*k**2 - 9848*k**2 + k**4).\nAnswer: 36*k**5 - 6804*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.461565 years?\nAnswer: 0.003461565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:11 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 3, c: 1, a: 5, r: 1, i: 3}. Give prob of picking 1 i and 2 a.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -17 - 11) + -23\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 6*v + 1 + 7*v**3 + 12*v**2 - 11*v**3 - 4 - v to u*v**2 + k*v**3 + q*v + o and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3530044ml in litres?\nAnswer: 0.0003530044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 != 18453\/3001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140382 = -28*w + 213510. Suppose 20*d - 90659 = -w. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 842504.6 millilitres in litres?\nAnswer: 842.5046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -6, 2080\/9, -1, 1\/2 in decreasing order.\nAnswer: 2080\/9, 1\/2, 1\/6, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -6753513.\nAnswer: 2701405.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1572?\nAnswer: 5\/1572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 23*s - 15. Let z be q(22). Let i(x) = 4*x + 1. Let d(y) be the second derivative of -y**2 - 34*y + 0 - 13\/6*y**3. Calculate z*i(t) + 2*d(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2, -2\/5, 1\/4, 0.75?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90328 = -879*z - 1119*z + 135*z + 250*z for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/7)\/(o*o**(-12)\/o) assuming o is positive.\nAnswer: o**(87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 2. Let l(d) = -105*d + 174. Let n(h) = l(h) - 6*s(h). What is the first derivative of n(u) wrt u?\nAnswer: -99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, a: 6, l: 10}. Give prob of picking 1 l and 1 f.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -59636 less than or equal to -775286\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n - 27. Calculate x(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1\/4 (c) -9\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 + 8*k**2 - 11*k**2 + k**2 - k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 453*q - 2412 - 2511 - 4137 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8 + 22 = 0. Let r(u) = -56*u - 582. Let h be r(-12). Calculate the greatest common factor of h and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.4 (b) -10 (c) 15 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -29. Calculate the remainder when 42 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 69*q + 82. Let p be o(-1). Let z be p - 1\/(-2)*(11 + -25). Let r(k) be the first derivative of -k**3\/3 + 2*k**2 + k + 1. Give r(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-4)\/1 + 4 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1706610 to the nearest 10000.\nAnswer: -1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*k + 2290 = -757 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Let x = 383 - 383. Let p be 2\/(-5) - (-45)\/50. Which is the closest to x? (a) p (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, 10, 33, 74, 139, 234?\n\"Answer: l**3 + 4*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 + k - 4. Let v(a) = -811*a**2 + 1126*a - 8. Let q(j) = -2*s(j) + v(j). Find the second derivative of q(p) wrt p.\nAnswer: -1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10) + ((-6)\/(-35))\/3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-6))\/((-6)\/(-27)). Let p be 1926\/54 - (-2)\/t. Let v = 0 + 24. Calculate the greatest common divisor of p and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4856538, 9713078, 14569618, 19426158?\nAnswer: 24282698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 b, 1 e, and 1 p when four letters picked without replacement from {j: 2, p: 3, e: 3, v: 1, f: 2, b: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 2.937.\nAnswer: 3.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4962 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8463*x**2 + 164*x - 4809506.\nAnswer: 16926*x + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*c + 12 + 84*c**3 - 52*c - 26*c**3 - 12 to b*c + y + m*c**2 + n*c**3 and give n.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.01, 169.8, -5, -2, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2. Let h = -61 - -71. Suppose 3 = x - 2, -b - x + h = 0. Let i(l) = -b*l - 4*l - 4*l + 20*l. Give k(i(g)).\nAnswer: 196*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**4\/24 + 3*s**3\/2 - s**2. Let a(y) = -y**2 - 37*y - 186. Let j be a(-6). Determine t(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2064 - 1.7436. Which is bigger: a or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -563.51 (b) 1 (c) -2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 548 or 12616\/23?\nAnswer: 548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Let y = -122 - -121.5. Which is the third smallest value? (a) q (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by (11 - -2*(-1190)\/60)*(-4 - -1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 218985692 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = 3. Suppose s + 0*s = i. Suppose 0 = -0*n + 2*n - 8. Solve -s*q + 17 = -3*v + 2, -3*q - 6 = n*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*z - 16682 = -k - 171*z, 4*k - 66660 = -z. Calculate the highest common divisor of 26 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 17. Let w = y - 23. Let o = 231.5 - 231.47. Which is the third smallest value? (a) o (b) -1 (c) w (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 479 + -479.174. Let v = 0.326 - b. Put -5\/2, v, -5\/3 in increasing order.\nAnswer: -5\/2, -5\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*a - 76 = 0, -5*s + 8 = -3*a - 56. Suppose 0 = n + t, -2*n - s + 4 = 4*t. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-42)\/(-9)))\/(21\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**4\/24 + r**3\/2 + 8*r**2. Let p be y(17). Is p less than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-448)\/(-9) + (-16)\/(-72). Which is bigger: 49 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 11) in base 3?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 5778384*i + 4173715206432.\nAnswer: 2*(i + 1444596)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -340112 divided by 4?\nAnswer: -85028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 14) in base 2?\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n = -318*n - 505*n + 53332 for n.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*a = 25434 + 5818158. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 81. Suppose -3*n = x - 109, h*n + 0*n = -3*x + 348. List the prime factors of x.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86494 - 59529. Is 143 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-54)\/2)\/(35*(-11)\/(-462)*-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1899230.6 to the nearest 10000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 858 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/1434*1\/(-7). Let t = 51883\/33460 + m. What is the common denominator of t and -97\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 340936*y**3 - 1081098.\nAnswer: 1022808*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24b1a64 (base 12) in base 7?\nAnswer: -115121164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 63943.\nAnswer: -6\/63943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t + 37*t = 357. Let r = t - 113. Calculate the lowest common multiple of r and (-11)\/(-3)*(2 + 1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 467*q + 141 = 466*q, -2*n = -5*q - 291. What is the highest common factor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 3, x: 1}. What is prob of sequence xl?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10c87 (base 13) in base 9?\nAnswer: 46101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 0*i - i + (-3 + 1 + 4)*(-2*i + 0*i + 0*i) to a*i + u and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1555 - 9011 = -73*r - 3441 for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 f when three letters picked without replacement from ifdrrfriiffdiiiif?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - 972*7\/(-147)?\nAnswer: -68\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002268 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 + (-5 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.206 + -0.294. What is the fourth biggest value in 1\/8, 0.4, -38, y?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 65*c - 63*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -6 - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -6*t + t - 45, -4*h + 40 = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 4*f**2 - 23*f - 40. What is u(-8)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22313233202 + 113?\nAnswer: 22313233321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -480, -476, -472, -468, -464, -460?\n\"Answer: 4*c - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.22, 2\/11, 1, -0.1, 131\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 17. Suppose -r + 3*p + 523 + 215 = 0, -2230 = -j*r + p. Calculate the highest common divisor of r and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1785517 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.4, 1\/4, -8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 34*w**2 + 28*w + 176. Let p be s(33). Solve 14 = -3*z + p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6 - 6*v + 3 - 11. Calculate the least common multiple of (-1)\/(3\/(-1 - 5)) and j(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25454, -6, -92 in descending order.\nAnswer: -6, -92, -25454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 987 - (5 - (-10 - -18)). Calculate the greatest common factor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrjrrhiifijg. What is prob of picking 1 r and 1 f?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 416944471 to the nearest integer?\nAnswer: 20419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 519538947 a multiple of 433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -3 (c) 9 (d) -146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -19*u**2 + 13*u - 44. Let o(p) = 51*p**2 - 39*p + 131. Let q(a) = 3*o(a) + 8*v(a). What is q(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/(165\/(-1650))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 59*m**6\/15 + 32*m**2 - 4*m - 3. What is the first derivative of o(w) wrt w?\nAnswer: 472*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -26*l**2 + 111*l + 4931. Let u(h) = 51*h**2 - 226*h - 9857. Let i(z) = -5*a(z) - 3*u(z). Find the first derivative of i(x) wrt x.\nAnswer: -46*x + 123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-2))\/(7\/14). Let -52*c - 36*c - 11*c**m + 4*c - 15*c**3 + 24 + 77*c**2 = 0. What is c?\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(16)*1)\/sqrt(8) - (sqrt(24)\/sqrt(4))\/sqrt(3)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. What is the first derivative of 1 + 0 + 0 - u*c**3 + 0 wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/68 and 17\/256?\nAnswer: 4352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s + 31 = -3*p, -3*s - 3*p + 9 = 0. Let h = -11 + s. Let v(o) = -2*o. What is the units digit of v(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -50512 in decreasing order.\nAnswer: 5, -2, -50512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 30. Let v be (5\/3)\/(12\/36). Suppose 4*f - 215 = -g, v*g - f = 389 + 770. What is the greatest common factor of b and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - b**2 - 9*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.03 + 566.97. Let g = -573.7 + q. Which is the third biggest value? (a) g (b) -4 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -915*f - 1394*f**2 + 191 - 1325*f**2 - 191 wrt f.\nAnswer: -5438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-147 - 1)\/((-2)\/1). Let d = i + -47. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 4:58 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 9. Let o be -2*1\/(-2) + -6. Let d be o + (1 - 0)*0. Let t(l) = 2*l**2 - 14. Let q(s) = d*t(s) - 8*x(s). Differentiate q(h) wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 2*l - 4. Suppose 2*w - 6 = -0. What is the lowest common multiple of b(-3) and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/9*(-4)\/20. Let d = 4.74 - 4.73. Which is smaller: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + ((2 + sqrt(1872) + 0)*-5)**2)*1.\nAnswer: 7200*sqrt(13) + 281424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2 = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 5:06 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1782954522.\nAnswer: 2, 3, 31, 3195259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9.835 and 4478700.89.\nAnswer: 4478710.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808164 < 3808316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63.536 + -32.436. Which is smaller: u or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110010001101110110 (base 2) in base 15?\nAnswer: 2a49b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4 - 1)*(8*f - f + 44*f)*(16 - 76 + 34)*(-5*f**3 + 2*f**3 + 2*f**3) as n + p*f + x*f**2 + j*f**4 + b*f**3 and give j.\nAnswer: -2652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - z - 10. Suppose z*s = 5*n + 116, 0 = -s + n + 69 - 17. Let g = 164 - 152. What is the greatest common factor of g and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(2736) + sqrt(2736) + 1 + 1 - (sqrt(2736) + 1 + -5 + -3)) + -3)**2.\nAnswer: 216*sqrt(19) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -76*m**3 - 30*m + 10. Let x(y) = -y**3 - 3*y + 1. What is -3*d(p) + 30*x(p)?\nAnswer: 198*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 7*a + 1. Suppose -22 = -2*t - 5*k, 4*t + t = -4*k + 38. Let n be w(t). Suppose 4*s = -3*y - 14, 2*y + 4 = s + 13. Solve 3*g - n = y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -8, -3, -14238, -1, 3 in ascending order.\nAnswer: -14238, -72, -8, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 338018677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3709074672.\nAnswer: 2, 3, 109, 227, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166173924?\nAnswer: 2, 3, 7, 19, 104119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 4:54 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45905360?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (54\/(-12))\/(3\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19904\/(-832) + 2\/(-26).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.227738 to 0 decimal places.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b + 27. Let v(a) = 3*a - 12. Let o(z) = 4*z - 15. Let q(w) = -4*o(w) + 5*v(w). Calculate d(q(p)).\nAnswer: 4*p + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**4\/6 + d**3\/3 - 31*d**2\/2 - 2*d - 482. Let u(h) = h**2 + h - 15. Calculate 4*o(j) - 9*u(j).\nAnswer: -j**2 - j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 11:42 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148150.\nAnswer: 2, 5, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1474, 3843, 7106, 11257, 16290?\n\"Answer: -i**3 + 453*i**2 + 1017*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 14*g**2 + 30.\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jktjjtkt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Let l = 202 - 3233\/16. Is l at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550502 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from qmmrrqrmrqrrn?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223151643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2388*r**2 - 10*r + 38. Let i be o(17). Round i to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 434 + -867\/2. Which is the second biggest value? (a) -3\/4 (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3213710, -3213657, -3213604?\n\"Answer: 53*s - 3213763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 594 by 54.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*y**2 - 367*y**4 - 8*y - 42*y**4 - 378*y**4 - 8*y wrt y.\nAnswer: -18888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-12)*i*(i*i*((i\/i**3)\/i)\/i)\/i*i*i)**(-3) assuming i is positive.\nAnswer: i**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**4 + 115*q**3 + 715*q**2 + 605*q = 0. What is q?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 322697 or -3\/55?\nAnswer: 322697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 39356415.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3222 + 145.7818. Let w = m - 148. Round w to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10092, 20173, 30254?\nAnswer: 40335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 33*i + 29 + 33. Let s(h) be the first derivative of 3 - 20*h - 5\/2*h**4 + 0*h**2 + i*h**3. Differentiate s(t) wrt t.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13*z + 2. Let m(p) = -12*p + 1. Let t(d) = 5*d**3 - 4*d**2 - 35*d + 40. Let x be t(1). Determine x*n(h) - 7*m(h).\nAnswer: 6*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -48133 - 214.68?\nAnswer: -48347.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - k = 4*w - 9, -w - k + 6 = 0. Suppose 5*j - 6 + w = 0. Let r(o) = -4*o + 26. Let v be r(4). Calculate the highest common divisor of j and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 41 + 25 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23.222319ns?\nAnswer: 0.00000000038703865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/49)\/(s*s*s**(-20)*s) assuming s is positive.\nAnswer: s**(831\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4\/33 (b) -5941 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6635 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 186440, 186417, 186394, 186371?\n\"Answer: -23*a + 186463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-8))\/((-2)\/8). Suppose -8 = -r + a, 0 = -r - 4*a - 7 - 0. Put 2, r, b in increasing order.\nAnswer: b, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3093*p**4 - 866 with respect to p.\nAnswer: -12372*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/1740064 and 2\/706901.\nAnswer: 22620832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:11 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211117, -212338, -213571, -214822, -216097, -217402, -218743, -220126?\nAnswer: -221557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -193\/15, -3, -18, -17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.341 and 1774664?\nAnswer: 1774665.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -908.465 - -909. Is -4 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(180\/(-848)))\/(20112\/(-12280)). Let l = w - 150\/419. Find the common denominator of -121\/72 and l.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - 11*z**2 - 11*z + 9. Let l(w) be the first derivative of -w**4\/4 - 2*w**3 - 3*w**2 + 5*w + 17. Calculate -6*h(b) + 11*l(b).\nAnswer: b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 36. Let f be c(37). Sort 15, f, 5 in descending order.\nAnswer: 15, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4729\/3 - -1440. Let g = c - -135. Is g less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -9. Let s = -7 + m. Let l be -11 + 2\/(-42)*-217. What is the smallest value in l, 4\/3, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 42.85256ug?\nAnswer: 0.00000004285256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 15, 4*x = 3*t - 0*t - 11. Suppose 4 = q + x. Which is the nearest to -1\/4? (a) q (b) -5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 6 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 11568697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -213481 to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-11)\/(-936)) - 13\/143. What is the highest common factor of 68 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -1. Let d = j - 2. Suppose 0*m = 4*m - 16. Put 0.2, m, d in decreasing order.\nAnswer: m, d, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 4*r - 4*d + 97 - 5, 12*r + 4*d - 754 = -1142 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13122112233 + -210?\nAnswer: 13122112023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -731544, 2, 4 in descending order.\nAnswer: 4, 2, -731544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 31633 = -4*w, 6*y + 2*w = 2*y + 25322. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -15. Let c be 15\/(-6)*(1 + 1 - 4). Let w = n - c. Solve 0 = -w*z - 8, -x - 3*x = -3*z - 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 17. Suppose 5*q - 7 = y, 4*q - a*q = 5*y - 11. Suppose d - 3*d + p - 3 = 0, -2*p = -10. Solve 1 + d = q*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07 plus 2899?\nAnswer: 2900.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630432*p - 630402*p = -60 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 13*d + 6. Let q be f(5). Suppose q = z + z. Calculate the greatest common divisor of z and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/26*((-36)\/(-14))\/(10\/14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.14 - 467?\nAnswer: -479.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37684791*w**4 - 65*w**2 - 47417*w - 2?\nAnswer: -904434984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 4*v + 16, -78 + 50 = -2*v - 3*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t. Let n(d) = -2*d**2 + 820. What is z(n(r))?\nAnswer: 6*r**2 - 2460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.108 and -2109041?\nAnswer: 2109041.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 9 = 0, 2*s - 3*b = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3032 (base 4) to base 6\nAnswer: -542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouuouqqqwwuuwwq. Give prob of picking 1 u and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*x - 20 = -173*x + 67 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, y: 1, w: 9, i: 2}. What is prob of picking 1 y and 2 i?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21900 and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/((-35)\/10 + 3). Suppose -n - 18 = -8*m. Suppose 4*f + c = 606, -11*f + m*f = -4*c - 768. What is the highest common factor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -14*r**4 + 4640*r**3 + 301430*r**2 - 132680*r - 173376 = 0.\nAnswer: -56, -4\/7, 1, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 11*g - 196. Give h(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {j: 1, v: 2, r: 4, c: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 i, and 1 x when three letters picked without replacement from {u: 4, b: 1, r: 3, x: 2, i: 1, c: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1414 and 61\/12.\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 17 + 9. Solve 3*g - 12 = -2*m, 7*g - 20 = m + v*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:13 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -99 + 18 - (0 + 1 - 2).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g + 3*j - 23 = 0, -4*g + 15 = -5*j. Suppose -3*d - 23 = -4*d - 2*h, 2*h = -g*d + 107. What is the highest common divisor of 147 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {e: 4, v: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1411 or 115623\/82?\nAnswer: 1411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 29 - 89. Let r be 5\/(b\/(-21)) - 3. Put r, 0.2, 1\/4, -1 in decreasing order.\nAnswer: r, 1\/4, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 12 = -5*x - 2, -5*x - 2*u = -10. Solve n = -2*s + 7, 3*n + 4*s - x = 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 577.3475382 rounded to one dp?\nAnswer: 577.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1326803 and 372884?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(950)*1)\/sqrt(2))**2.\nAnswer: -2375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1852 by 2.\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2429893 > -2429898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**(-20\/3)*((k\/k**(-1\/9))\/k)\/((k\/(((k**(-2\/33)\/k)\/k)\/k*k))\/k))\/((k**(2\/7))**(-25\/3)*(k**(1\/3)\/k)**(-1\/2)) assuming k is positive.\nAnswer: k**(-9172\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13020 + 22120. List the prime factors of f.\nAnswer: 2, 5, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/9)\/(1 + (-7)\/6). Let z = 2 + j. Suppose m + 4*h + 11 = z, 0 = -2*h - 6 - 0. Which is greater: m or 4\/19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -8*j + 12*j. Solve 0 = -p + 2*p + j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123 + -72. Let o = s - 2. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7356 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5920746 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4536, -9162, -13788?\nAnswer: -18414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1914*i**2 - 16*i + 26277. Let g(z) = 383*z**2 + 3*z - 5255. Let c(p) = 21*g(p) + 4*t(p). Differentiate c(r) with respect to r.\nAnswer: 774*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000868791626 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 124 + -1 - (3 - 5). Let y be ((-100)\/(-14))\/((-14)\/(-49)). Calculate the highest common divisor of w and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00945 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m + 80*m - 74*m = -36*m - 3600 for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + i - 41 + 9 + 10.\nAnswer: i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 120\/(-150) + (6396\/(-255) - -1). Which is smaller: -26 or o?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + 170\/(-70) - (-720)\/2366 and -83\/130.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -17. Suppose 0 = d*b - j - j - 111, 5*j + 15 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2532*x - 842*x - 854*x - 882*x + 11*x**2 - 29*x**2 as u + s*x**2 + o*x and give o.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 2*b**7\/105 + b**3\/6 + b**2. Differentiate y(o) wrt o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 314\/3 - 106. Put i, -3, 0.2 in ascending order.\nAnswer: -3, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/(m**(3\/8)*m))\/m)**(16\/5)\/(m**(1\/19)\/(m*m*(((m*((m*((m*m\/((m**(-3)*m)\/m))\/m)\/m)\/m*m)\/m*m*m)\/m)\/m)\/m)))**17 assuming m is positive.\nAnswer: m**(6052\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(1*sqrt(132) + sqrt(132)))\/sqrt(12))**2 - sqrt(22)\/(sqrt(8)\/(sqrt(16)\/sqrt(4))).\nAnswer: -sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/7 - 19885*w**2\/7 - 98843363*w\/7 + 98863249\/7 = 0.\nAnswer: -9943, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 9:16 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-5)\/q))\/((q\/q**12)\/q))\/(q\/(q*q**(-6))*q**14) assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, y: 9, p: 1}. Give prob of sequence ysyy.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 880?\nAnswer: -1\/880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 9060805*j + 9060800.\nAnswer: 5*(j - 1812160)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 15067\/19059?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p. Let m(y) = 2*y + 1. Let f be (-1)\/5 + (-2)\/(-10). Suppose 5*j - 6 = -2*c, f = 2*j - 2*c - 9 + 1. What is j*z(r) + 2*m(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) -0.1 (c) 13 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**25)\/y)\/(y\/(y*y*y**28\/y*y)) assuming y is positive.\nAnswer: y**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/14098 and -85\/25004.\nAnswer: 1325212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -1\/6*h**4 + 0*h**3 - h**2 + 0 + 2*h. Find the first derivative of m(y) wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 1. Let f(m) = 3*m + 3. Let p(c) = -f(c) + 4*g(c). Let h be p(3). What is the derivative of -2*k**4 - 9*k**h + 22*k**3 - 6 - 22*k**3 wrt k?\nAnswer: -44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ava when three letters picked without replacement from vaaaaaaaaaaaaaaaavaa.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1176 minus -5470459955?\nAnswer: 5470458779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177186761?\nAnswer: 19, 61, 152879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 157. Suppose -5*t - 20 = 0, -5*l + 41 = t - 5*t. Suppose -4 = 2*a, -l*o - a - 2 = -0. Is s(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 3960*i + 7936.\nAnswer: -4*(i - 992)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 939 and 39.\nAnswer: 12207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 4. Calculate y(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x + 13. Let q(y) = y**3 - 5*y**2 - 7*y + 7. Let p be q(6). Let m(i) = 0 - p - 3 + i. What is 7*m(l) + 2*s(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2179478 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Suppose -u = n*u - 12. Suppose 0 = -3*v - u*w + 28, 2*v + 8 = -4*w + 32. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1117*-7.\nAnswer: 7819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - b)*(4 + 3 - 5) + 4*b + 0*b - 3*b + 3*b - 3 + 3)*(474*b - 140*b + 612*b).\nAnswer: 1892*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1736314 is divided by 245?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/7))**(-28\/5))**8*((u*u**1*u)\/u)**(6\/7)\/(u**(-1\/2)*u)**(-9) assuming u is positive.\nAnswer: u**(1331\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(450)*-1)\/(sqrt(540)\/sqrt(10)))**2.\nAnswer: -10*sqrt(3)\/3 + 28\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 25*r. Let s(q) = -774*q. What is 6*s(v) + 189*w(v)?\nAnswer: 81*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 4*f + 2. Let m be t(4). Calculate the common denominator of 385\/m - (-2)\/(-6) and -34\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 35041.83 tonnes?\nAnswer: 35041830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2856, 2854, 2852, 2850?\n\"Answer: -2*t + 2858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 - 50. Let a = -38 + h. Calculate the highest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15651036 divided by -3912759\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*-5*sqrt(448)*3*-2)**2.\nAnswer: 6451200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 42. What is the lowest common multiple of a and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877237 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - t - 7 = t, -o + 1 = t. Let q = 1 + 0. Let c = q + o. Which is smaller: c or 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 566 - -5. Suppose r + 5*b - k = 0, 2*b - 562 = -8*r + 7*r. What are the prime factors of r?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**2\/4 + 441*o\/2 - 1225\/4 = 0. What is o?\nAnswer: 7\/5, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*c + 4, -4*j = -5*j + 2. Suppose c = -3*p - 12, -5*l + 18 = 2*p + 6. Solve -7 = -2*y - 3*h, -l*y - 2*h + 3 = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -238, -484, -744, -1024, -1330, -1668, -2044, -2464?\n\"Answer: -j**3 - j**2 - 236*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/12 (b) 14 (c) 4 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2 - 166*n - 168 = 0. What is n?\nAnswer: -1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/2 + (-6 - -1). Let l(i) = i + 1. Let h(y) be the first derivative of 2*y**3\/3 + 4*y**2 + 8*y + 126. Determine o*l(u) + h(u).\nAnswer: 2*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -138.5993 - 0.0007. Round v to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20445132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -124. Let s(k) = 8*k**3 + 6*k**2 - 4*k. Let b(a) = 23*a**3 + 17*a**2 - 12*a. What is y*s(n) + 6*b(n)?\nAnswer: 2*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51211239.\nAnswer: 3, 1831, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 470 - 154. Suppose -3*z = -y - 205, -4*y + 2*y = 4*z + 440. Let q = f + y. List the prime factors of q.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 69 + 1\/9*u**6 + 0*u + u**4 + 1\/3*u**2 - 8\/15*u**5 - 8\/9*u**3. Determine g, given that y(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 11:41 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {k: 1, u: 1, o: 1, l: 1, q: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42191.97 hours to microseconds.\nAnswer: 151891092000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 17*b - b**3 + 19*b - 43*b - 48*b**2 - 10. Let x be y(-35). Round x to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(96)\/sqrt(3)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 34805 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1613 - 1523. Calculate the least common multiple of w and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -3, 3\/5, 18871570\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -128, 780641.9 in decreasing order.\nAnswer: 780641.9, 0.1, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - q**2 + 5*q + 3. Let y be l(-3). What is the third smallest value in -5, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*2 + (sqrt(68) - (2 + sqrt(68) - sqrt(68)))*1)**2.\nAnswer: 24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r. Let p be h(-1). Let k be (6\/(-3) - -1) + p. Let c(d) = -2*d + 12. Let t be c(6). Solve -k*x - 8 = -t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 2. Suppose 0 = -2*w + u - 3. What is the units digit of ((-3)\/(-9))\/(w\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(147))**2 + sqrt(147) + -4 + (-1*sqrt(18)\/sqrt(6) - (sqrt(3) + 1*sqrt(108))).\nAnswer: 13*sqrt(3) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10728\/(-126))\/(8\/28). Let s = p + 421. List the prime factors of s.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) 4\/5 (c) -1.04 (d) -29 (e) 1\/2 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 + 6*r**2 - 5*r + 6. Let t be c(4). Suppose -21*n - 2865 = -8514. Let s = t + n. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 4) + (0 - (2 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdjdjjjjjj. Give prob of sequence jjdd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a**2 - 3*a**3 + 2*a**2 + 12*a**3 + 3*a**3 wrt a?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -11, 21 in descending order.\nAnswer: 21, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by -64.\nAnswer: 43\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 112?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a - 1917 = -531 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 6:20 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13\/1023 - -4\/93. Let r = 48 - 48. Which is smaller: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/5)\/((-6)\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307 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: Is 22 a factor of 3456576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 57 = -3. Let r be (-5)\/((-30)\/(-21))*l. Let z = 38 - r. Solve -s - z - 1 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -236\/3*a - 10\/3*a**2 + 32 = 0?\nAnswer: -24, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 106548583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/10 - 286\/15. What is the common denominator of -145\/6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqss. Give prob of sequence ssq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20750 (base 9) to base 14\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -81 - 51e?\nAnswer: -5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 127*l*r*s*z**2 - 56*l*r - 2*l*s*z**2 + 3*r*s*z**2 + r*s*z + 65*r*s + 3*r - 2*s - 23 wrt l?\nAnswer: 127*r*s*z**2 - 56*r - 2*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51.2 - 47. Let j = m + -4. Let r be (-9)\/(-12)*4\/6. Which is greater: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 8*h + 8. Let b be z(-6). Calculate the greatest common divisor of b and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4060 = 7*k + 113*k - 8*k for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 202 = -28. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(405) + -2 + sqrt(405))**2*3.\nAnswer: -540*sqrt(5) + 4935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let k(f) = 24*f + 1. Let n(y) = 4*y**2 - y. Give k(n(g)).\nAnswer: 96*g**2 - 24*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5 - 6 - 6 - 2*x. Let a be z(-5). Suppose -37420 = a*u - 4420. Round u to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -33?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 2019*p - 2015*p + 1.\nAnswer: 4*p + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -392 - -437. What is the remainder when u is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4866 and 4865 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 234052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11919\/6*(-6)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1029702 is divided by 1702.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 11*d + 1020. Find the common denominator of 31\/11 and d\/(-10) - (-165)\/33.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.8518cm to millimeters.\nAnswer: 278.518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((12 - 6) + 6)*(-165)\/(-60) + -7\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, l: 7, g: 1, c: 4}. What is prob of sequence lc?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16187 = 1332*b - 60702 - 40820 - 6573 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 5, x: 3}. Give prob of sequence xy.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -164268 - 1\/3*d**2 - 468*d.\nAnswer: -(d + 702)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7844.228ug to kilograms.\nAnswer: 0.000007844228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4980137 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4770360 and 596295?\nAnswer: 4770360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014869 times 85?\nAnswer: -86263865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181 + 192. What is the third derivative of -28*h**2 - h**3 + 55*h**2 + n*h**3 - 31*h**2 + 2*h**5 wrt h?\nAnswer: 120*h**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711850094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-1\/23)*t\/(t*t**(-1\/4)) assuming t is positive.\nAnswer: t**(111\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 5:05 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -17. What is the least common multiple of 22 and k?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/54 and -31\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92.9 + -17.9. Let k = 5.026 + -0.026. Let y = f - k. Is y <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5 + 5. Let k(g) = -2*g**3 - 2*g**2 + g + 1. Let z be k(w). Let o = 13 - z. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1835.9 + 552.1. Let r = -2378.43 + d. What is r rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 6. Let a = -42 - -45. Give z(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252908641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 11:15 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87836453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 156414183 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4605 - 3097. List the prime factors of t.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 12*z - 3289. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*i**3 + 209*i**4 - 2 - i**2 - 2*i - 53*i**3 - 33*i**4 + 114*i**3 + 157*i**4 to the form p*i**3 + h*i + k*i**2 + d + o*i**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8127, 8156, 8205, 8274, 8363, 8472?\n\"Answer: 10*q**2 - q + 8118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfddgdggzwqg. What is prob of picking 1 w, 1 f, and 1 z?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/12*3*12\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 259582 and 1700626.\nAnswer: 181966982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -6. Suppose -4*c + 4*i + 41 + 63 = 0, -3*c + i = -80. Let t = c + x. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-280))\/((-18)\/(-14)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 542 - 507. Let m be (98\/c - 2) + (-51)\/20. Which is greater: m or -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3150, 5, -1, -2397, 3, 0 in decreasing order.\nAnswer: 5, 3, 0, -1, -2397, -3150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (8 - (4 + (4 - 7))) + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0 - 8 = 0. Let v be m - (1 + 45\/(-3)). Solve -3*w - v = -0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4914*z + 4947*z + 693 = 0 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-8)\/((-96)\/(-42)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31926 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7577 is divided by 764?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-6)\/2 - -1. Let k be (u\/8)\/((-3)\/(-30)). Suppose 0 = k*y - 3*y - 10. Let q(i) = i**2 - 2*i - 4. Calculate q(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k + 19*k - 6*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from xxxillii?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.181 centuries in years?\nAnswer: 23418.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 2*r = -6*d + 15, -d - 5*r = -20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 255 and 867.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1\/10 (c) -0.3 (d) -1573.787\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 844*p = 854*p - 40 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -49, 5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghytygtgygyttygtg. Give prob of picking 2 g and 1 y.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/30*1)\/((-49)\/245)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/10)\/(-12)*(-15)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 less than 1544016?\nAnswer: 1543886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*((sqrt(3564) + -3)*4 + (sqrt(3564) - (sqrt(3564) + -3))*-6)*4)**2.\nAnswer: -1733760*sqrt(11) + 23172004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**3 + 12*n**2 - 3*n + 1. What is a(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52814\/3 + 17606. Sort 0.4, -5, 28\/15, h.\nAnswer: -5, 0.4, h, 28\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(135)*-3)\/sqrt(9))\/((sqrt(275)\/(sqrt(44) + sqrt(11)))\/sqrt(5)))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + -4.92. Let n = 58 - 57.6. Which is the closest to 0.1? (a) o (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55567 is divided by 52978.\nAnswer: 2589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 665, 1335, 2005, 2675, 3345, 4015?\nAnswer: 4685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -6*b**2 - 1\/2*b**3 + 0 - b. Let m be p(-5). Is m less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11436 and 1026?\nAnswer: 1955556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*s - 11 + 11)*(-101*s**3 - 17*s**3 - s**3).\nAnswer: -6307*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = h, 2*h = -s - 3*s + 4. Suppose 3*a - 6 = -s*i, 4*a + 17 = 2*i + 1. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 10*s - 21. Let h be m(-6). Suppose -h*f = 2*f - 85. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*3*sqrt(189)*-4)\/(4*(sqrt(81) - sqrt(9))\/sqrt(3)))**2 + -5.\nAnswer: 5098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + t)*(2 + 2*t - 2) + 4 - 4 - 5*t**2 - 4*t**2 + t**2 + t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 7*u**2 + 6*u + 3. Let i be p(6). Let t(x) = i*x + x + x. Let f(k) = -20*k - 18*k + 40*k. What is f(t(d))?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 139*h - 130*h. Suppose 0 = -h*c - x + 8947, 5*c + x = -2008 + 16917. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2984*u**2. Let n(j) = -605*j**2. Determine b(n(s)).\nAnswer: 1092218600*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 4148*g**2 + 4139*g - 8290.\nAnswer: (g - 1)*(g + 2)*(3*g + 4145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3\/((-27)\/(-39))*(12 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29652 and 18?\nAnswer: 88956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314107 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 2*s**2 + 0*s + (5*s**2 - s**2 - 3*s**2)*(1 - 16 + 0) in the form v*s**2 + u*s + l and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2062051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = 2*b. Let m = -1 + 1. Let a(f) = -4*f**b + 2*f**2 + m*f**2. Let t(u) = u. Give t(a(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**3 + 6*g - 1. Let h(m) = m**3 - m. Let z(p) = 5 + 2 - 2 - p. Let y be z(11). Calculate y*h(w) - b(w).\nAnswer: -w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 197*b**2 + 1517*b + 934. Determine u(-189).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 86000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2013 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6704841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 3*u + 6. Let p be z(-5). Suppose 3*n + n = -p. Let s = 6 - n. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12386, -12108, -11642, -10988, -10146, -9116, -7898?\nAnswer: -6492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 42*s**2 + s**2 + (1 + s - 1)*(0*s + s - 2*s))*(-2 - 3 + 2).\nAnswer: 126*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17421 take away 0.5?\nAnswer: -17421.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from {q: 1, e: 2, r: 4, u: 7}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.079 - 0.121. Round j to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*k + 33*k - 1494. Suppose 0 = 4*o + i - k, 4*i = 3*o - 4*o + 51. Let r be 2\/9 - (-238)\/o. Solve -5*a - 3*s + 10 - 1 = 0, 2*s = -r*a + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/8 - (-15 - (2 + -15))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 95*o - 358. Give l(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g = -78426 - 138174. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -73*q - 77. Let j be x(-1). Suppose -2*s = -5*o + 2 + 3, 4*o - 4*s + 8 = 0. Sort 4, o, j in increasing order.\nAnswer: j, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4128568 milligrams to nanograms.\nAnswer: 412856.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + -5)*(0 - 4). Let a = 5 - 1. Let z = 19 - 14. What is the third smallest value in a, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 74 and 0.16.\nAnswer: 74.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -267\/1222 + 9\/26. Let m = 160\/517 - o. Sort -2\/5, -1, -2\/29, m in descending order.\nAnswer: m, -2\/29, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1321, 995, 3311?\n\"Answer: 2316*w - 3637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4838 * 0.3.\nAnswer: 1451.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.3026 - 16.3456. What is a rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + 1.25. Let a = 0.7 - y. What is a rounded 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 -105937040*c**3 - 50178*c + 1697?\nAnswer: -635622240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.141587174.\nAnswer: -0.70793587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 0 + 0*x**4 + 0*x**3 - 2\/5*x**5 - 9*x - 9*x**2. What is the derivative of w(p) wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x + 1425 - 1425.\nAnswer: -33*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 divided by 4?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m. Let h(t) = 2*t - 1. Let j(x) = 15*x - 6. Let v(o) = 6*h(o) - j(o). Calculate b(v(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519 + n + 261 + 258.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 - 0.495.\nAnswer: -57.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - r + 2.\nAnswer: -(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11580*j**2 - 11579*j**2 + 8 - 8.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 549 - -373?\nAnswer: 8bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.3\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24786 and 159732.\nAnswer: 1437588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0)**(1\/9))**(-3\/2)\/((g*g**(-1))**(-2)\/(g\/g**1)**(-1\/14)) assuming g is positive.\nAnswer: g**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16794, 140527, 476370, 1130379, 2208610, 3817119?\nAnswer: 6061962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169148 and 118384?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -17*v + 76. Calculate t(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 37. Let l = -35 - w. Let m = l - -0.4. What is m rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6073, -6664, -7255, -7846, -8437, -9028?\n\"Answer: -591*z - 5482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1327*q + 352 + 1332*q - 2661*q.\nAnswer: -2*q + 352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -657 - -657.1. Let h = 9.3 - 9.5. What is the nearest to 1 in 1.6, h, v, -2\/9?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 2*j. Let a be n(-2). Suppose u = -a*z - 2*z + 3, -z - 44 = -3*u. Let t(x) = 5*x + 7. Calculate the remainder when t(6) is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 0*h + 2*h - h - 7. Determine r(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2300 and 17\/115?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/5*(244\/8 + -3). What is the greatest common divisor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 319582242*z**4 - 196193932*z**2?\nAnswer: 7669973808*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 772*q**4 + 759*q**3 - q**2 - 14799*q - 57 wrt q?\nAnswer: 9264*q**2 + 4554*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348337.7 years to centuries.\nAnswer: 3483.377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9)\/o**(-1))**(2\/3)*(o**(-2\/7)\/(o**(-1\/7)\/o))\/(o**0*o**(-5)) assuming o is positive.\nAnswer: o**(1261\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -17, -498, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/240 + 11*v**4\/48 + 121*v**3\/24 - 4*v**2. Factor f(q).\nAnswer: (q + 11)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*j + 8*j = -10, n = 3*j + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 166, 222, 302, 406, 534, 686?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = 5*g - 4*t, -2*t = 0. Suppose g*q = 7*q - 60. Solve -5*y = -2*y - q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5) - 124\/(-20). Suppose -3*f + 9 = 4*k, -k + 6*f - m = 4*f. Suppose k = -4*i + 2560 - 160. What is i rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 55\/2 of a microgram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1026*x - 340*x - 340*x + 1036*x**2 - 346*x as b*x + n + h*x**2 and give h.\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 24162292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157 - 31 + 68)*(0*m - 2*m - 2*m) + 3*m - 2*m - 2*m + (-4 + 0 + 2)*(-2*m - 4 + 4) + 4*m - m - m.\nAnswer: 485*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43.5 and 74.72.\nAnswer: -3250.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s + 7054901 = -9*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -0.6, 0.274?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.3 + 32. What is the closest to 2 in -3, v, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-429)\/152 + (-53)\/1007 + 3*1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2670*o + 320. Let z(m) = 1335*m + 128. Let u(i) = -2*j(i) + 5*z(i). Let y(s) = -2*s. What is y(u(g))?\nAnswer: -2670*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12912405 a multiple of 1576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -51*u**2 + 9*u + 2. Calculate j(-1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bd2 + -20?\nAnswer: bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 9. Let r(j) = 5*j - 3*j + j**2 - 3 + 0*j. Let g be r(-3). Let b be -1 + g + 0 + -3. Give p(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huhp when four letters picked without replacement from sauhshspshs?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59142104 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14705)\/306 + 1\/(-6). Let z = -48 - g. Is z greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 632 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-40)\/46)\/(270\/(-180)). Sort -1, g, 0.08, -5.\nAnswer: -5, -1, g, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, -5, 7537?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -14, -21, -20, -5, 30?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by 1075.\nAnswer: 141\/1075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1900*b**2 - 866*b**2 - 1506*b**2 - 1882*b**2.\nAnswer: -6154*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 4\/7, -0.5122, 0.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**2. Let v(g) be the second derivative of g**4\/12 - 2*g. What is v(t(r))?\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1578549 + 320349. Round x to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -57, 2\/9, -1\/4, -3, -1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p = -10. Let l be -1 - (0 + 1 + -1). Let j(u) = -u**3 + 39*u**2 + 40*u + 2. Let i be j(40). Put p, i, l in decreasing order.\nAnswer: p, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4239, -4267, -4295?\nAnswer: -4323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p + 98. Let h be s(-14). Solve 0 = x + 52 - h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/15 - s**4\/6 + 6*s**2. Determine w so that m(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 47474?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(720\/135))\/((-5)\/10*6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 80485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17490 divided by 1166\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26414431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-30913 + 30913 - 5304*k).\nAnswer: 5304*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1489 + -820.1489. Let r = u + 819.97. What is the nearest to 1 in -0.2, 1\/4, r, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3834822980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4358575353.\nAnswer: 3, 11, 1811, 72931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -16*f. Let g be a(0). What is the third smallest value in g, 2, 0.8, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d + c + 118 = 0, -2*d + 3*c + 245 = 0. Solve 115*u - d*u - 42 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 68*q**4 - 72*q**3 - 8*q**2 - 12. Let s(c) = -27*c**4 + 29*c**3 + 3*c**2 + 5. Let r be 11 - (-4 - 9\/(-3)). Let l(p) = r*s(p) + 5*j(p). Factor l(d).\nAnswer: 4*d**2*(d - 1)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50.9 + -52. Is 0.08 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17169285*p**2 + 3*p - 2511473.\nAnswer: -34338570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + x + 1. Let a(t) = 6*t**2 - 10*t. Let w(v) = a(v) + 5*j(v). Let n = 18 - 13. Let c be w(n). What is the closest to -0.1 in 4, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 27\/5, 5, 2\/3, 0.015, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 275*l**4 + 8*l**2*t - 2*l*t - l + t - 396 wrt l?\nAnswer: 3300*l**2 + 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -405.87 - 31274244\nAnswer: -31274649.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.2 (c) -1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) -10\/18183 (b) 0.5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000040475 to seven dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99)*-5*-4)\/((sqrt(81) + sqrt(9))*1*6).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39666046*h**2 + 51976773*h.\nAnswer: 79332092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, q: 3, l: 3, s: 1}. What is prob of sequence lli?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42542.985593 - 42543. What is r rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 39*u - 6. Let o be a(5). Suppose 0*c - o = -7*c. Suppose 4*z = c + 13. What is the greatest common factor of z and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {d: 5, q: 2, f: 1, i: 6, c: 5}.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 38*y + 95*y - 112 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4291 and -118.207.\nAnswer: -4409.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 393929 and 2757503?\nAnswer: 2757503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -14*m**3 - m**2 + m. Let c be a(1). Let b be 4\/14 - 24\/c. Suppose -u - b*u - 20 = -s, 0 = -2*s - u + 19. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -8, -211, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 32*b - 3.\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150080 = -4058*g - 73002 - 12282 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1d2 (base 16) to base 12\nAnswer: 32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/7 + 30*c**2\/7 + 132*c\/7 + 136\/7 = 0. What is c?\nAnswer: -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(76) + 6*sqrt(76)*-2)\/((sqrt(108)\/(sqrt(18)\/sqrt(2)))\/(sqrt(192) + (sqrt(192) - (sqrt(192) - (-1*sqrt(192) - sqrt(192)))))).\nAnswer: 136*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 8:29 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 70071.\nAnswer: -70074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*q - q = -6, -j - 9 = 5*q. Suppose 2*r + j + 3 = 0. Put -0.3, 1\/3, r in descending order.\nAnswer: 1\/3, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4912 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 24347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.12 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 bigger than -708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19 - 8 + 13 - 14*n**4 wrt n?\nAnswer: -56*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-24))\/(1260\/2430).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -16*949.9357\nAnswer: -15198.9712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/4*(-48)\/40. Solve l*b - 3*y + 5 + 4 = 0, -12 = 4*b + 3*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13526 - 13539. Which is the closest to d? (a) 0.4 (b) -1\/4 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 70\/56 + (-161)\/4. Let x be (-15)\/156 + 6\/u. Let b = 0.8 + -0.3. What is the closest to x in 3\/4, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120221 - 11?\nAnswer: -120232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -14.8. Let w = -0.4 + m. Let p = -1.7 - -1.8. What is the second biggest value in p, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z + z - 17*z + 5*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 8:51 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)\/sqrt(7)*2)\/((sqrt(8) - sqrt(200))\/sqrt(2)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**3 - 3*p**2 - p + 1. Let f be u(-1). Suppose s - f*w + 3*w = 4, -4*s - 2*w = -6. Solve s*i**2 - 1 + 7\/2*i = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/686 and 101\/40866.\nAnswer: 286062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 9032*q**2 - 18092*q - 27120.\nAnswer: 4*(q - 3)*(q + 1)*(q + 2260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 184.5 - 170. Let w = 14.5 - h. Which is the closest to 0? (a) -0.4 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 20.7.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 23 = -3*q, -3*q + o + 8 = -7*q. Let w(c) = 7*c**3 - 1. Calculate w(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800779879.\nAnswer: 31, 61, 423469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 986.396t to grams.\nAnswer: 986396000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 6*w + 5. Calculate v(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 183\/(-6)*(-3 - -1). Let l = 181\/3 - c. What is the second biggest value in l, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1104 = 10*d - 636. Let r be (-10)\/(-15) + d\/9. Solve -3 - 20 = -5*z - 2*i, -r = -5*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/(10 - (-332)\/(-32)). Suppose 12 = -p + 4*p. Solve -p*x + 0 = s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 37261750.\nAnswer: 37261750.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/(-90))\/((-1)\/(-5)). Suppose 10*q - 5*q - 2*g - 64068 = 0, -q + u*g = -12820. Suppose 2*n + 9609 = 3*o, -4*o + 0*n = n - q. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**0\/j)*j**(3\/16) assuming j is positive.\nAnswer: j**(35\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 0*j**3 - 5*j**3 + 2*j**2 + 2*j + 11 + j**4 - 3*j**4 to the form p*j + s + l*j**2 + v*j**4 + m*j**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -7*a - 20. Let l be 1\/(448\/446 - a - -1). Let v = l + -32. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*m = -84*m + 224. Suppose 0 = 4*s + 3*y, -4*s - y - 8 = 4*y. Suppose 2*k + k = -s*i + 9, 27 = 5*k + i. What is the least common multiple of m and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5580\/651)\/((-15)\/42)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93 - 17390\/187. Let u = q + -397\/4301. Let d(s) = s**3 - s**2 + s. Let m be d(0). Is u bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176616 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 11) to base 8.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6722 or -1\/7?\nAnswer: -6722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3572953444656*f**2 + 3572953444656*f**2 + 4*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1869353*h**4 + 10*h**3 + 2*h + 297806366 wrt h.\nAnswer: -7477412*h**3 + 30*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -34*g - 7. Let s(o) = -17*o - 3. Give -3*h(v) + 7*s(v).\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11745 and 50315.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 11*y + 7. Give t(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2 - 3*w - 36 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -83*v + 14. Let s be q(-3). Let o = -369 - -229. Let y = s + o. Does 41 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -43*r - 2. Let v(n) = -3*n. Let h be v(1). Is d(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 181*a + 2*a**3 - 39 - 14*a**2 + 21 + 13*a**2 to the form y + q*a + b*a**2 + m*a**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 - 0.09. Let c = 0.08 - x. Are 0.1 and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from zelzeezezmleeezzel?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(1 + 0 + 2)*(-h + 0*h + 0*h)*(-1 + 3 + 1)*(0 - 3 + 1).\nAnswer: -54*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 3*g + 8 = 0, 2*h - 4*g - 14 + 38 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d*y**2 - 7*d*y - 25*d - 10*y**2 - y - 68 with respect to y.\nAnswer: 6*d*y - 7*d - 20*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1498*l**2 + 14*l + 8. List the prime factors of o(-2).\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3*(-9)\/(-15). Let s = -103 + 305\/3. Let m be (-9)\/(-6) - (-2 + 3). What is the biggest value in s, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*l**2 + 68*l**2 - 141*l**2 + 81*l in the form p*l + t*l**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 19 + 11 = 0. Factor 48*z**3 + 7*z + 5*z + 2*z**2 + 38*z**2 + 25*z**4 - z**4 + 4*z**w.\nAnswer: 4*z*(z + 1)**3*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j - 6. Let d = -13 + 15. Suppose c - 93 = -d*c. Suppose -3*v - c = -13. Give y(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 520975961?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*c**3 + 3070*c - 3070*c - c**3 + 5*c**3 - 5*c**3 + (-2*c**2 - c**2 + 2*c**2)*(4*c - 3*c + 2*c).\nAnswer: -44*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -51*(-4)\/60 + 4\/(-10) - -47. Solve 0 = -27*w - y - 31 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t + 135. Suppose -2*x - 4*p = -60, t = 2*x - 3*p + 6. Suppose -1342 + 15193 = 224*f - 5189. Calculate the remainder when f is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 6, 4*d + 6 = -3*j - 0. Suppose 0*u + u = j*y - 79, -4*u = -3*y + 331. Let k = u - -88. What is the greatest common factor of 42 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from qqoqo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f + 2*f**2 - 2*f**2 + 0*f**3 + 2*f**2 + f**3. Let j be u(-3). Solve -m - 2*m = j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21465566 by 3106.\nAnswer: 6911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33103 is divided by 175?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -0.3, -1\/3, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*b, 3*b + 42 = -2*p - 3*p. Let m be (-2)\/((-4)\/p) + 210. Let q = m + -76. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from zjznvjznxznz.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43000 (base 6) to base 2.\nAnswer: -1011011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -491 - -518. Calculate the smallest common multiple of r and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*o + 2*l, -4 = -4*o - 0*l - l. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59\/(-6) - (-102)\/(-612)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3362\/5016 - ((-33)\/44)\/(27\/(-24)). Is p not equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16005 - 10*x + 12*x + 15786 - 10*x to the form g + m*x and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102212 + 2?\nAnswer: 1102214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdcbzd. Give prob of sequence czb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/5 + 31*s**4\/5 - 12*s**3\/5 - 46*s**2\/5 + 14*s\/5 + 3 = 0?\nAnswer: -1, -1\/2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 3 - (-2 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(18)\/sqrt(9) + sqrt(2))*-3)**2.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4116, 3543, 1976, -1083, -6132, -13669, -24192, -38199?\n\"Answer: -83*t**3 + t**2 + 5*t + 4193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than -6694\/8355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4204239 divided by -14061?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -107d2 + -6?\nAnswer: -107d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3981.690783 to 1 dp.\nAnswer: -3981.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + (sqrt(3744) + 1*sqrt(3744) - sqrt(26)))\/(sqrt(2) + -3*sqrt(2)*-6).\nAnswer: 24*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -16*j**2. Let v(g) be the second derivative of -19*g**5\/60 - 88*g**2 + 4*g + 14. Let c(i) be the first derivative of v(i). Calculate c(f(h)).\nAnswer: -4864*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*f = 28*f + 90. Let h(j) be the first derivative of -j**f + 27 - j + 7\/3*j**3. Calculate h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) 11\/2 (b) -0.3 (c) 879\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-272)\/24*(0 + 36). Let c = -288 - w. Round c to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, 0.0023, -0.2?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 121 + -34 - (-344 - -471)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 13*v - 36. Calculate the remainder when s(-12) is divided by 72.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*x, -5 = 5*u - 4*x + 5. Let s = 3 + u. Suppose 3*q - 5*a - s = 0, -4*a + 2*a = 2*q + 18. Let r(b) = b + 8. What is r(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1240243?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 19 + 2*t - 63.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 1 (b) -4 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3131366*h**2 + 4 - h**3 + 0*h**3 - 4 - 3131366*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfqq when four letters picked without replacement from {q: 5, y: 5, f: 1, m: 5}?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l + 2*z + 134, 67*l + 96 = 71*l - 3*z for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107362 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1125131 + 4626?\nAnswer: 1131757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3958086 and 33?\nAnswer: 3958086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 3. Let t(o) = o - 1. Let j(h) = l(h) - 3*t(h). Let d(k) be the first derivative of 6*k - 3*k + 2*k**2 + 6 - 5*k. Calculate -d(c) + 5*j(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.2*-0.4.\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*h - 25 = 0, -4*z + h = -0*z - 27. Suppose -14037 = z*d - 72. List the prime factors of d\/(-38) - (-3)\/(-2).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 245\/21)\/(8\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.19026 millimeters?\nAnswer: 2190260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 444, -6, 10, -18 in decreasing order.\nAnswer: 444, 10, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3092*p - 144413 - 125760 = 42119 for p.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4599280 divided by -215.\nAnswer: 21392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/1)\/(-120))\/(3\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*r = -16, 5*b + 10*r - 6*r + 26 = 0. Let v(l) = -104*l - 29. Let g(n) = -23*n - 1. What is the remainder when v(b) is divided by g(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2 - 1. Let b = -71 + 61. Is (b*f)\/(20\/(-50)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -1. Suppose -5*b + 5 = 4*w, 0 = -2*b + 2*w + 2*w + 2. Let u = v - b. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4898 and -0.4.\nAnswer: -1959.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**6 + 1753*l**5 - 9*l**2 - 3359?\nAnswer: 480*l**3 + 105180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000437109495 rounded to 6 decimal places?\nAnswer: 0.000437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 592, 1190, 1792, 2398?\n\"Answer: 2*c**2 + 592*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -5 (b) -31 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5073*x**3 - 12*x**2 - 36*x. Let j(t) = 2*t**3 + t**2 + 3*t. What is -12*j(b) - y(b)?\nAnswer: -5097*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -286 (b) -50 (c) -1\/8 (d) -5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -429980712.9999846 - -429980581. Let d = -102.7 + -29.3. Let o = d - l. What is o rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 78211*a**2*t - 41*a**2 + 4*a + 2337 wrt t?\nAnswer: 78211*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 133 + (0 - 0 - 1). Suppose 1740 = -58*j + 275*j + 218*j. Suppose j*b - f = -8*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1927 - -682. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 4 + -13 + 7. Solve -y + j*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -18*f**2 - 1. Let j(x) = 112*x**2 + 4*x + 3. Let z(c) = -301*c**2 - 13*c - 8. Let w(p) = -8*j(p) - 3*z(p). What is w(b(g))?\nAnswer: 2268*g**4 + 126*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 245.000504 + -245. Round q to five decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**5)\/t**(-4))**(-3) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z**(-4)\/z)\/z*z*z)*z*z\/z**(-3\/8))\/((z\/(z**5\/z))\/z*z*z**(-6)) assuming z is positive.\nAnswer: z**(123\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 52 = -4*t, t = l + 3*t - 24. Suppose -c + 6*c - l = 0. Suppose -20 + c = -2*z. Solve 5*f - 2 - z = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1563*d**2*x**2 - d**2 - 172*m*x**2 + 419143*m - 6*x**2 wrt x.\nAnswer: 3126*d**2*x - 344*m*x - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 35*t**2 - 62*t - 124. Determine b(33).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -596*m**3*n**3 + m**2 - 442*m*n**3 wrt m.\nAnswer: -3576*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 21 - 1. Find l such that -l**2 + 5*l**2 - 7*l**f - 22*l + 4*l**2 + 121 = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/10)\/((2\/6)\/((-40)\/24))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 4024*u**2 + 8066*u**2 - 109 - 4037*u**2 in the form o + i*u**2 + h*u and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-10)*5 - -3*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2 + 5. Let q(u) = -u**2 + 1. Let p(l) = -3*k(l) + 15*q(l). Let c(v) = v**2. What is c(p(t))?\nAnswer: 900*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.519 + 0.091. Let h = -0.21 + i. Put -0.4, h, 0.2 in decreasing order.\nAnswer: h, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3.1. Let t = -17.2 - -21. Let i = t - 4. What is the second smallest value in y, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819963675?\nAnswer: 3, 5, 89, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r + 43. Let y be v(-14). Suppose i + 3*i = -3*w - 10, 5*w + 14 = -4*i. Suppose -16 = -4*j - 0. Put y, w, j in descending order.\nAnswer: j, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 31*d - 7. What is the units digit of m(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 9. Give s(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2042 + 2084. Let b be 508\/8 + (-1)\/2. Calculate the greatest common factor of d and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464741694.\nAnswer: 2, 3, 271, 95273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/15, -5, -2\/9, -0.07?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1.7, -1\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4228)\/(-24) + 4\/(-24). Suppose o = -2*d + 141, -109 = -4*d + o + c. List the prime factors of d.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473 - 406 = -3*j - 2*l, -5*j - 2*l = -1465. Calculate the remainder when j is divided by 101.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -7. Find the second derivative of -2*b**5 - b**5 - 3*b**4 + 3*b**4 + l*b wrt b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 58. List the prime factors of v\/(-66) - (-101)\/3.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -22 + (-21 - -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b + 10. Let p be y(5). Let a be 3\/(2\/28 - p). What is the units digit of (-1)\/(-3) - a\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -1 - (-4 - -5)) + 0 + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-403 - -404) + (1 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/461 in 3, -5\/7, -73?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3737a10 - -1?\nAnswer: 3737a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i**2 + 0*i**2 - 4*i**2)*(4*i - 4*i - i) + (-5*i + 3*i + 3*i)*(i**2 - 4*i**2 + 4*i**2) - 3*i**3 + 5*i**3 - i**3 - 2 + 2*i**3 + 2 + 3*i - 3*i - i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2696*-47402\nAnswer: -127795792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/22? (a) 3\/7 (b) 39\/11 (c) -2 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -1\/75*y**5 + 0 + 0*y + 0*y**3 + 1\/150*y**6 - 6*y**2 - 1\/1050*y**7 + 0*y**4. Suppose s(b) = 0. What is b?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 12*p**2 - 12*p - 4. Give q(-8).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - -13)*2\/5. Suppose -3*l - 2*y = n*y - 65, -3*y = -4*l + 120. Let t = l + -25. Solve 6 = -4*o + t*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2722 - -2709. Put 0.041, a, -2\/3 in decreasing order.\nAnswer: 0.041, -2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 - 3\/(-6))*140\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 20*k - 504. Calculate i(25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1015\/(-49) - 76\/266?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26638\/1265305 - (-566)\/190?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63.6 - -64. What is the closest to -5 in s, 2, 4\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66? (a) 5\/13 (b) -2 (c) 43\/4 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, r: 8}. Give prob of sequence trrr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + m + 4. Let k be p(0). Suppose -k*q - q = -25. Suppose -x = -q*x. Solve -2*u - u + 12 = x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - i - 119, 121 = o - 2*i + 3*i. Let a = 144 + o. Suppose 0 = m - 5*n - 18, 8 = 5*n - 7. Calculate the highest common factor of m and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*t + 25, 0*f + 8 = 2*f. Let z be t - 4 - (-46)\/18. Which is the second smallest value? (a) -5 (b) 0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 0*a - 3. Suppose -c - 5 = -5*t, -t + 2 = t - a*c. Put t, -5, 4 in decreasing order.\nAnswer: 4, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -421\/33 - -122\/11. Which is the third biggest value? (a) 2\/3 (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -205 - -207. Suppose -10*h**s + 5 + 5*h**4 - 32*h + 32*h = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - m - 2*m + (-4 + 1 + 4)*(3*m - m - 3*m) - 5*m + 5*m - m - m + 11*m + 12*m - 8.\nAnswer: 19*m - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**8\/112 - 3*u**7\/70 - u**6\/20 + 5*u**2 + 9. Let j(f) be the second derivative of a(f). Solve j(p) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841234 is divided by 4382?\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.227.\nAnswer: -0.0908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19 rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 40661468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2504 = 4*i - 316*n, 21890*i - 8*n + 3*n = 21891*i - 46 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86\/(-215))\/(6\/120).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 577095 or 577108?\nAnswer: 577095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 + 0.6. Let j = 1 - q. Let m = j + -1. Which is the second smallest value? (a) m (b) -2\/23 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -22. Let m = w + -7. Suppose 2*u - 3*u = -p + 45, m*p - 100 = 4*u. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7, -4, -0.32009 in increasing order.\nAnswer: -6, -4, -0.32009, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-2)\/(-8))\/((-21)\/168)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26181006 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rllllvlrrrllllm. Give prob of sequence rmv.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976757849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -148 - -150. What is the remainder when 41 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-9471))\/((-5)\/55).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 8)\/(30780\/1215 + (-6 - 0))\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*g - 3*k - 6, 0 = 5*k - 5. Put g, 9, -4 in increasing order.\nAnswer: -4, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8513, 8505, 8511, 8543, 8613?\n\"Answer: 2*l**3 - 5*l**2 - 7*l + 8523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10030 - -121001212?\nAnswer: 121011242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11160600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 - 3*d**4 + d**4 + (-2*d**2 + d**2 - d**2)*(-2*d**2 - 1 + 1) - 5*d**4 - 3*d**4 - 2*d**4.\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(176)*-1).\nAnswer: -16*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 8. Let o(r) = 2 - 24 - 9*r + 18 - 44. Let x be o(k). Solve 0 = 2*n + l - x*l - 20, -4*n - 3*l + 14 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3842431 to the nearest integer?\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, 0.2, 29, 1\/2 in decreasing order.\nAnswer: 29, 10, 1\/2, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-39))\/(12\/(-81)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.17 (b) -2 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695196673.\nAnswer: 695196673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/(1\/(-8)). Suppose -47 = -4*m - 3*s, 5*s + 52 = b*m + 13. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*l = -62*l + 4*k - 49, 16 = 4*l - 4*k. Solve 0 = -4*d - n - l, d + 5 + 2 = n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 72776.84 millennia?\nAnswer: 72776840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 t, and 1 m when three letters picked without replacement from {t: 4, j: 1, m: 1, d: 1, q: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*i + 130, 2*i + 202 = 7*i + 4*c. Suppose 18 = 5*k - i. Let l = k - 7. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 47 (b) 12\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/3*(1 - 2). Let l = -37515\/4 + 9379. Let p = -6.4 - -6. Which is the fourth biggest value? (a) p (b) h (c) l (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 457233?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161052174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -9. Let y be (-756)\/(-135) - 19\/((-133)\/(-42)). Suppose 1 = 3*i - 2, 4*o + 5*i = 21. What is the biggest value in -5, q, y, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -5*j + 243. What is the greatest common divisor of 84 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 79\/2 of a tonne?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7190 - 7184. Solve -7*s = -12*s - v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 251636.\nAnswer: 754908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 6*l = -17*q - 30, 4*l + 13 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50168230 divided by 1895?\nAnswer: -26474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4 - (-19 + 22)) + 1 - 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 11 - 7 = t, 3*n - t = 14. Let b(f) be the first derivative of -1 + 2\/3*f**3 + 0*f**2 + 0*f - 1\/4*f**n. Find the third derivative of b(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1269 + -1268.7. Put 12, a, 0.08 in ascending order.\nAnswer: 0.08, a, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.392 + 2.352. What is the third smallest value in 7, 5, s, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -773, -1771, -3007, -4487, -6217, -8203?\n\"Answer: -f**3 - 113*f**2 - 652*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucc when three letters picked without replacement from {u: 15, c: 5}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 342 = 2*u + 2*k, 5*k - 267 = -3*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**6\/420 - u**5\/21 + u**4\/84 + 10*u**3\/21 - u**2 - 30. Factor z(j).\nAnswer: -2*(j - 1)*(j + 1)*(j + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 76 = -44. Let r = -42 - l. Does 9 divide -5 - -4 - -25 - r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*v**4 + v**5 + 0*v - v**3 - 1\/5*v**2 + 0 = 0. Calculate v.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9017048 to the nearest integer?\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -33274*z - 39. Let j(s) = -352705*s - 414. Determine -138*b(u) + 13*j(u).\nAnswer: 6647*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -24*v + 27*v - 16, 10 = 4*v + 3*f. Let u(n) = -2*n**2 - 6*n - 5. Give u(v).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 10*f**2 - 11*f - 2. Calculate k(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/90*-5*(9 + -5 - 1\/(-1))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 u, and 1 i when four letters picked without replacement from {z: 8, u: 2, d: 4, i: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/6)\/(10\/160). Let w(f) = 176*f**3 + f - 1. Let d be w(1). Calculate the greatest common divisor of d and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 84*v**2 + 741*v + 19. What is g(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiiqjikjuyyk. What is prob of picking 2 y and 1 k?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3 - 444*p**2 + 6672*p + 15104 = 0.\nAnswer: -236, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224020, 448033, 672046, 896059, 1120072, 1344085?\nAnswer: 1568098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**(-3))\/p)**25 assuming p is positive.\nAnswer: p**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 times 869?\nAnswer: -74734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 1:25 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21175, -42227, -63271, -84307, -105335, -126355, -147367?\nAnswer: -168371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6981 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 3. Let b be y(3). Suppose b = h + 1 - 4. Suppose h = v - 7. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -a - 3*a. Suppose 0 = -64*b + 123*b - 295. Solve 13 = -a*s - b*g, 0*g + 6 = -2*s + 2*g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 20*b**7\/21 - b**5\/10 + b**4\/6 + 70*b**3\/3 + 3*b**2\/2 - 2*b + 2412. Find the second derivative of c(z) wrt z.\nAnswer: 800*z**3 - 12*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 746?\nAnswer: 2\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**9\/36 - j**5\/20 + 15*j**2. What is the third derivative of l(m) wrt m?\nAnswer: 1680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -85733?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38369 = 140*u - 1177*u for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/24))\/(l\/(l\/(l**7\/l))) assuming l is positive.\nAnswer: l**(-121\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -27132 divided by 7\nAnswer: -3876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2\/3*m**2 + 2*m - 8\/3 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268599508657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -102, 17, -1\/3, 2 in decreasing order.\nAnswer: 17, 2, 1\/5, -1\/3, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6214 is divided by 416?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -66136946628122 - 8\nAnswer: -66136946628130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13732936145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 425795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (137*m - 5 + 6 + 7*m)*(-5*m - 3 + 3) to the form w*m**2 + u + k*m and give w.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j = -18*h + 1340 - 1364, -2*j - 13 = 3*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706152591?\nAnswer: 3, 78461399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*f + 80. Let a = f + 47\/3. Let b = 1 - 2. What is the closest to a in b, 1, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -1\/5 (c) 1\/975 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504817830?\nAnswer: 2, 5, 29, 5189027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49 + 6338?\nAnswer: 6384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 590 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, c: 9, h: 2, u: 1}. Give prob of sequence hu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3704, 3707, 3720, 3749, 3800, 3879, 3992?\n\"Answer: a**3 - a**2 - a + 3705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1245, -1172, -1099, -1026?\nAnswer: -953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51 + 0*w**4 + 3*w**4 - 36 + 6*w**4 wrt w?\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 1319*z**4\/4 - 76*z**3 + 722. Find the third derivative of t(h) wrt h.\nAnswer: 7914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 321719, 321712, 321693, 321656, 321595, 321504?\n\"Answer: -y**3 + 321720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151928623 is divided by 1489?\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*j + 88, 0 = 5*v + 3*j - 6*j - 224. Calculate the remainder when v is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -922 + 239. Let p = 967 + f. What are the prime factors of p?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1436*a - 1 = -1434*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*x**2 - 22*x**4 - x**3 - 9*x**2 + 4 - 9*x**4 + 41*x**4 - 11*x**4 to m + b*x**4 + p*x**3 + u*x**2 + j*x and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 + -64. Suppose i = 3*u - 285 - 315. Calculate the highest common factor of u and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83184828 to the power of 1\/2, to the nearest integer?\nAnswer: 9121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 2*g**2 - 1. Let t(v) = -4*v**3 + 54*v**2 + 2*v + 230. Let z(b) = -m(b) + t(b). Find the second derivative of z(y) wrt y.\nAnswer: -30*y + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y + 9*y - 1087918. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6700 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**2 - 19. Let d(v) = -3*v. What is n(d(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 11:21 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 58652 rounded to the nearest one thousand?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29710 and 17826.\nAnswer: 5942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6290145 to the nearest integer?\nAnswer: 2508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -41199000 rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**3\/3 - 5. Let f(n) be the first derivative of -n**2 - 3. What is p(f(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**4 + 160*v**3 + 1872*v**2 + 8640*v + 13824 = 0. Calculate v.\nAnswer: -24, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**3 - 29*i**2 + 5*i - 7. Let s be z(10). Calculate the highest common factor of s and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27133*l = -27130*l - r - 10, -11 = 3*l + 2*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/((sqrt(6)\/sqrt(2) + sqrt(3))*4).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181009085 to the power of 1\/2, to the nearest integer?\nAnswer: 34366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 355 and 11?\nAnswer: 3905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1650, 1677, 1724, 1791, 1878, 1985, 2112?\nAnswer: 2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3137886 is divided by 494.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-2)\/1 - (-84)\/49). Solve t*m = 8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from snnnynsnnnyn?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-3178)\/(-3360)*16 - -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 152 - 140, 2*y - 8814 = 3*j. Round y to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 9*v**2 - 14*v - 53. What is d(-9)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtdddttggcdgcccdddd. Give prob of picking 2 g.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 9. What is the highest common divisor of q and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13*n**2 - 119*n + 628. Give p(5).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 12. Let g be 1\/(-5) - 506\/(-55). What is the units digit of a(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/4 - 1333731*k\/2 + 2667465\/4.\nAnswer: -3*(k - 1)*(k + 889155)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71.57708 litres?\nAnswer: 71577.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139 - -256. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*y + 2*s - 2926, 0 = -3*y - 2*s - 8786. Let c = -1528 - y. Round c to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + x**2 - x + 3. Let v(m) = 12*m**3 - 15*m**2 - 12. Let s(g) = 10*p(g) + v(g). Determine s(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Suppose 52 = 13*p - 0. Suppose p*l - l = 4*t + 15, -3*l + 6 = -t. Which is greater: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -484.9431 - -485. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 7:30 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 7. Let o be k(-6). Let d(j) = j**2. Let c = -180 - -187. Calculate the smallest common multiple of c and d(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, b: 6, m: 1, d: 2, l: 3, z: 1}. Give prob of picking 2 l, 1 z, and 1 m.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/7 - 18*z**3\/7 + 4*z**2.\nAnswer: 2*z**2*(z - 7)*(z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1925856, -1925851, -1925846, -1925841?\nAnswer: -1925836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - 0) + 22 + (-1 + -63 - (360 - 381)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 3*x**2 + 65*x - 253. What is p(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2. Let j(q) be the second derivative of 79*q**4\/6 - 4*q + 8. Give j(s(p)).\nAnswer: 1422*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/25*12)\/((27\/(-12))\/(-3))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 1, a: 1, b: 1, u: 2, p: 1}. What is prob of sequence ocap?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/7)\/((-1)\/(-866)). Let v = d - -1113. Let y = -362 - v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 944\/137 + -92277\/9316. Let m = n - 4\/17. Let b = m + 3. What is the common denominator of -41\/74 and b?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2))**48\/(f**(-3)*f)**(-16\/9))**(-20) assuming f is positive.\nAnswer: f**(17920\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 27092*h + 13554*h + 13542*h - 16*h**2 + (0 - 5 + h**2 + 4)*(-1 - 5 + 4).\nAnswer: -18*h**2 + 4*h + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68.8 - 72.8. Let x = 0.3 - -4.7. Which is the smallest value? (a) -0.4 (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103321033320031 + 0?\nAnswer: 103321033320031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*(4 - -3)\/7\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6966 divided by -43\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 10*z - 5. Let f(u) = -2*u**2 - 23*u - 10. Let y(a) = -4*f(a) + 7*s(a). What is the hundreds digit of y(-43)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9909\/1940 - 122\/97. Let r = 30 + -15. Find the common denominator of m and (10\/r)\/((-16)\/126).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*2\/12*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80135.748 - -18.8.\nAnswer: -80116.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 440*f**3 - 2 + 703*f**3 - 83*f**3 - 99*f**3 + 1.\nAnswer: 81*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o - 1. Suppose -63 = 2*l - t, 5*l = 2*l - 3*t - 108. Let h = -11 - l. Let x = 20 - h. What is b(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 32*s + 226\/7.\nAnswer: -2*(s - 1)*(s + 113)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 9:41 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 + 155*l**3 + 0*l**2 + 14*l**2 - 7*l**2.\nAnswer: 155*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmg when three letters picked without replacement from {m: 2, g: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 281 (base 14) to base 13\nAnswer: 2cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = 5*u + 2*q - 8, 0 = u + 4*q + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, q: 1, d: 4, c: 2}. What is prob of sequence ddds?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*(sqrt(1296) + 6*((sqrt(1296)*-1 - sqrt(1296)) + sqrt(1296) - sqrt(1296) - sqrt(1296))))\/((-1*sqrt(16))\/sqrt(2) - sqrt(392)*-6).\nAnswer: -612*sqrt(2)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3790473231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -101, -187, -247, -275, -265, -211, -107?\n\"Answer: r**3 + 7*r**2 - 114*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3793 - 2580. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1326 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 249797 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w + 38 = 0. Let n(r) = 5*r**2 + 13*r + 12. Let a be n(-3). Solve -h = -a + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m + 70 = 259 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1859, 4127, 6359, 8537, 10643, 12659?\nAnswer: 14567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1192481 by -23.\nAnswer: -51847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 + z**2 + 1 - 4*z**2 - z. Suppose -5*y = 5*q - 25, 197 = -4*y + 3*q + 168. Determine v(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 3*i**2 + 7*i + 4. Suppose -217*y = -214*y - 168. Calculate the remainder when y is divided by m(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301405?\nAnswer: 5, 13, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 523 - 528. Sort 5, r, 4, 1.\nAnswer: r, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -6*m - 106 + 3\/2*m**2 - 1\/3*m**3. Give k(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b + 38*b = -22*b + 591084. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*l**3 - 137*l**3 + 29*l**6 - 30*l**6 + 124*l - 123*l + 67*l**2 wrt l.\nAnswer: -120*l**3 - 918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b6 + -43b773?\nAnswer: -43b6bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/77 + (-2)\/(-11))\/(-2). Suppose u = 3*q - 19811484 - 22818516. What is q rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/((-994)\/(-639))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155 - 155. Let k = o - 3. Which is smaller: k or -19\/10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30454 is divided by 10150.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by 7.\nAnswer: 85\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = 3*q - 9, 4*l - 3*q = -19. Let p(c) = -10*c - 1. Let v(g) = -19*g - 2. Let f(u) = 11*p(u) - 6*v(u). Give f(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.065*-20.8\nAnswer: 1.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 + -0.13. Let o = w - -0.019916. Round o to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -34. Suppose -3*t - 2*j = -383, 0 = y*t - t + j - 255. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -168*n + 167*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*t + 4*y, 5*t - 4*y - 18 = 3*t. Let c be (16\/(-12))\/((-7)\/t). Solve -c*d**2 + 2\/7 + 2\/7*d**4 + 0*d + 0*d**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 14*b**2 - 2*b**2 - 8*b**3 + 0*b**3 - 12 + 4*b**2. Let t(s) = -7*s**3 + 15*s**2 + s - 12. Let p(z) = -3*i(z) + 4*t(z). Factor p(g).\nAnswer: -4*(g - 3)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 18*l - 24 = 0. Suppose l*r - 1629 = 9156. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l**3 + 1040*l**2 + 1660*l - 560 = 0.\nAnswer: -28, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 56*n**2\/9 + 8*n\/9 + 224\/9.\nAnswer: -2*(n - 2)*(n + 2)*(n + 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1355 - -1357. Solve o = 42*r + 128 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 5*b**2 - 4. Let n be i(4). Suppose -4*j + 0 + n = 0. Solve -5*t = -5*w - 25, -j*w = -5*t + 23 - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3*21\/2. Let g(i) = i + 7. Let l(a) = 3*a + 20. Let k(h) = 11*g(h) - 4*l(h). Let d be k(n). Solve b = d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etqtbet. Give prob of sequence tt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 divided by -13.\nAnswer: 151\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 4*c**3 + c**3)*(2*c**2 - 3*c**2 + 2*c**2) + (2*c**4 + 0*c**2 + 0*c**2)*(21*c - 11*c + 12*c).\nAnswer: 47*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7, -251, -2, 45\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 15 = -d, 30 = -k + 5*d + 3. What is the units digit of (k - -2 - 0) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128715.805 + -128546.8050083. Let t = h - 169. What is t rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = -2*b - 2, 5*j - 3 = -2*b. Let u(l) = -19*l**2 + 32*l**2 + 26*l**2. Is u(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1810, 1345, 110, -2273, -6182, -11995?\n\"Answer: -63*z**3 - 7*z**2 - 3*z + 1883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108\/47 - 2400\/799. Find the common denominator of d and 13\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -10*a**3\/3 - 89*a + 153. What is the derivative of t(w) wrt w?\nAnswer: -20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 28 = 2*d. Let w = d + 1. What are the prime factors of (-264)\/(-10) + w\/15?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 - (-64)\/(-10). Let m(h) = -7*h. What is the remainder when (-9)\/j - 483\/(-6) is divided by m(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/8035086 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, -1\/6, -1.\nAnswer: -1, -1\/6, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8135*r**2 + 4*r - 5038. Let q(z) = -3*z**2 - z + 7. Let u(j) = 4*q(j) + y(j). Find the first derivative of u(a) wrt a.\nAnswer: -16294*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2727817 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -1. Suppose -7 = -5*s + b. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3250)\/(-1625))\/(90\/1).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-13 - (-11 + 6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*u - 1 + 5*u + 4*u)*(-7*u + 11*u + 0*u)*(-4*u - 2*u + 4*u)*(u - 4*u + 2*u) as h*u**4 + g*u**2 + r*u + q + j*u**3 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-844)\/3376)\/(1\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*i - 24, o = -o + 3*i - 4. Let p(l) = -2*l + 0*l + 3 + l**2 - o*l + 0. Determine p(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74c7 (base 13) in base 3?\nAnswer: 211020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/21 - (1 + 398\/(-6)). Suppose 7 = y - 5*t - 1, 5*y + t - k = 0. Calculate the highest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-57)*1)\/(19\/114).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1296223, 2592445, 3888667, 5184889, 6481111?\nAnswer: 7777333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-2)*(-9)\/6. Let f be (2 + 5 + -2)*k. What is the units digit of 3*(2 - f\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*n - 90*n + 288. What is the highest common factor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 598. Let j = -2757\/5 + a. Factor i**2 + 1\/5*i**3 + j + 7\/5*i.\nAnswer: (i + 1)**2*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r + 60. Let x be w(-15). Factor -2\/3*t**3 + 2\/3*t**2 - 2\/3*t**4 + 2\/3*t + x.\nAnswer: -2*t*(t - 1)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3127*l = 3104*l + 483 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -37527*y. Let w(q) = 7*q. What is z(w(l))?\nAnswer: -262689*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4999, 40682, 137531, 326128, 637055?\nAnswer: 1100894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83361*l = -83384*l + 184 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4, 6130, -2 in ascending order.\nAnswer: -17, -4, -2, 6130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14226644 and 0.5?\nAnswer: -7113322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*k**2*n*u**2 + k**2*u**2 - 4*k**2 - 170*k*n*u**2 + 2*k*u - 56*k - 93*n - 10*u**2 + u wrt n?\nAnswer: 12*k**2*u**2 - 170*k*u**2 - 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-3) + (1 - -3). Let n = t + 1. Suppose n*u - u - 52 = 0. What is the remainder when 24 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 28*k + 42 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - 0.26. Let j = -4572 - -4571.6. What is the closest to -0.1 in m, 9, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 24. Let r be (-1224)\/54*(z\/2 - 1). What is the highest common divisor of r and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 140?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 6043658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 1629797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from mrybx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/2 + 15*t**2.\nAnswer: -3*t**2*(t - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.176556 and -27238522?\nAnswer: 27238522.176556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23235 - 4?\nAnswer: 23231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -26. Let k be (-6 - -8)*v\/2. What is the nearest to k in 2\/9, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3077 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.853 * 0.18.\nAnswer: -0.87354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 3*n - 4. Suppose -q - 6 = 3*q - 5*m, -2*m + 3 = -q. Let s be x(q). Put -28, s, -5 in descending order.\nAnswer: s, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w**3 + 6*w**2 - 3*w - 5. Is v(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101 (base 2) to base 9.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2149 - 120127?\nAnswer: -119b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 44 = -11*i, -485*i + 478*i = 2*j - 28 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h**6 + 8*h**5 - 514*h**2.\nAnswer: -840*h**3 + 480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1528 + 0.0928. Which is the closest to 0.2? (a) -0.01 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1818?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*r = g - 23, -17*r = 72*g - 64*g - 101 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f**3 - 1156*f**2 + 468*f + 16. Let z(g) = -19*g**3 - 3468*g**2 + 1403*g + 44. Let q(n) = -11*r(n) + 4*z(n). Factor q(l).\nAnswer: -2*l*(l + 116)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b + 128. Give u(15).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -5)*(-1)\/(-2). Let j = y + 4. Find the third derivative of 28*v**j - 28*v**3 + 4*v**4 + 4*v**2 wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i + 7. Let t(h) = -313*h - 1441. What is the smallest common multiple of x(7) and t(-5)?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 16 + 0 = 4*t, -a - 3*t + 12 = 0. Solve -5*d = -d - 2*o - 14, a = -3*d - o + 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-752)\/470)\/((-32)\/760)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6\/91, 3, 202 in decreasing order.\nAnswer: 202, 3, -6\/91, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.128 (b) 0.1 (c) 3 (d) -2476\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -105.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48238902 a multiple of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 - (-1)\/((-1)\/(-11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/44, 4, 1\/4.\nAnswer: -3\/44, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrufu. Give prob of picking 1 u, 1 f, and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*b + 9*b**2 - 2 + 2 - 75*b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u + 3. Let j = 70 + -30. Let z(f) = -82*f + 41*f + j*f - 1. Give -2*l(m) - 6*z(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/16 of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10 and (-8)\/12*(-9)\/(-68)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -2 + 5 - (3 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 64482 divided by -249\nAnswer: -21494\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3006.328 and -1.\nAnswer: 3005.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u + 26*u**4 - 70*u**4 + 131*u**4 - 2*u**2 wrt u.\nAnswer: 2088*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25380 and 4591080?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3cab4 - 103?\nAnswer: 3c9b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27453 divided by 3.\nAnswer: 9151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1426 (b) 124 (c) 5 (d) -36 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5562, 13, -9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499434340?\nAnswer: 2, 5, 24971717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m**2 - 81*m + 387. Let s(h) = -5*h**2 + 49*h - 194. Determine 3*q(l) + 5*s(l).\nAnswer: 2*l**2 + 2*l + 191","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202012022 (base 3) in base 9?\nAnswer: 82168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3 - o**3 - 1 in the form u*o**3 + f*o**2 + q + x*o and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 106\/((6\/(-20))\/(1143\/(-15240)))?\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33, 479, 1199, 2175, 3389?\n\"Answer: -3*s**3 + 155*s**2 + 2*s - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 q when four letters picked without replacement from {x: 1, o: 3, q: 2, a: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*s + 5*s - 40*s - 537)*(0 - 2*s + 0) as o*s**2 + d*s + f and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 9*c + 18*c + 16*c - 55*c + 13*c. Let m(a) = 3 - 3 - 19*a**2. Give b(m(h)).\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55196878579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*g + 35*g. Let s(c) be the third derivative of 1\/30*c**5 + g*c**4 - 2*c**2 + 0 + 0*c + 0*c**3. Let q(j) = -5*j**2. Calculate s(q(w)).\nAnswer: 50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m - 1. Let p(f) = -f. Give 4*p(o) + 3*v(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -301.4 times 4?\nAnswer: -1205.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 278459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2826929 rounded to the nearest 1000?\nAnswer: 2827000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1385*s**2 + 2739*s**2 - 1431*s**2.\nAnswer: -77*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 1)\/(5\/35). Let c = f + -5. Solve 5*r - 13 = c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - 8*t**2 + 20*t + 6. Does 15 divide g(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 11*y**2 - 5*y - 2. Determine o(-6).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 8*s**2 - 10*s - 8. Let i be d(-9). Solve -z + 2*u = -1, 0 = -5*u + 4*u - i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.9516713 microseconds?\nAnswer: 0.000000032527855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3783)\/78 + 50)\/(-1 - 411\/(-402))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let z(h) be the third derivative of 7\/24*h**4 + 0*h**3 - 7*h**2 - 1 + 0*h. Determine f(z(y)).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - ((10 - 0) + -17).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125384 or -125406?\nAnswer: -125406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z**2 + 4*z - 5. Let g(c) = -5*c**2 - 2*c + 2. Let p = -1869 - -1873. What is p*m(o) + 9*g(o)?\nAnswer: -o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 47 - 32 = 0. List the prime factors of d\/(-5 + 4) + 92.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 0 - 1\/15*u**5 - 11*u - 4\/3*u**3 + 11\/2*u**2 + 1\/2*u**4. Let p(o) be the first derivative of r(o). Let p(y) = 0. What is y?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {t: 4, y: 1, o: 2, h: 9, w: 4}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*37\/((-444)\/(-24)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 130*p**2 - 748 - 189*p + 946 - 28*p**2 - 114*p = 0. Calculate p.\nAnswer: 33\/34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*1)\/(1008\/(-448))*21?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*h = 70*h - 78. Let y be (10\/15)\/((h\/(-2))\/3). Factor -y*d + 2\/3*d**2 + 2\/3.\nAnswer: 2*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, p: 7}. What is prob of picking 4 i?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-19*(-70)\/20615 - 994\/31)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1825*v**3 + 868*v + 99*v**2 - 3*v**2 + 3653*v**3 - 1832*v**3.\nAnswer: -4*v*(v - 31)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 2*r + 26. Suppose -2*s + 15 = 3*s. Suppose -1 = -s*q + 2. What is the remainder when f(-6) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1556, 1550, 1544, 1538?\nAnswer: 1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 11*d + 10*d + 7, -4 = 2*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 1. Let w = -7 - -6. Let n = 3 + w. Let o(m) = -2*m + 4. Determine n*o(p) - 6*t(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62282 and 59451.\nAnswer: 1307922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 279287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrvggvrvvr. What is prob of sequence rgrv?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679588 is divided by 2396?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -140*o**3 + 8*o - 16. Let l(b) = -47*b**3 + 3*b - 6. What is -8*l(r) + 3*x(r)?\nAnswer: -44*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 1143, -5\/2 in descending order.\nAnswer: 1143, 1\/8, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-132))\/(3\/18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*p = -409*p + 7302. What is the remainder when p is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186996488*m**2 - 41*m + 1737627 wrt m.\nAnswer: 373992976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/192 and 67\/587520.\nAnswer: 587520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 33*p**2 - 73*p + 9. Let j be b(2). Sort -8, j, -4, 3\/11, -2\/3 in decreasing order.\nAnswer: 3\/11, -2\/3, -4, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, 17, 4, -5 in decreasing order.\nAnswer: 17, 4, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 924115?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001325 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -370*f**6 + 6*f**4 - 367*f**2 - f + 2?\nAnswer: -44400*f**3 + 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**26\/p**(-6) assuming p is positive.\nAnswer: p**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1930509 and 1072505.\nAnswer: 9652545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a129 + -3339?\nAnswer: -10465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:59 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29332.36 litres to millilitres.\nAnswer: 29332360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -59227 divided by 8461?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.4, 1\/7, 1, -38\/9 in ascending order.\nAnswer: -38\/9, -0.5, 1\/7, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**3 + 4*q**3 + 0*q**2 - q**2 + 5*q**3 - 3 - 2*q. What is the remainder when 141 is divided by y(3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 8. Let l be i(-4). Suppose 4*j + 2 - 10 = l. Suppose 0 = j*x - 4*x + 96. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: c67 (base 14) to base 15\nAnswer: acd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 8. Suppose o - 5*o = -20. Suppose 2*i = 8*a - 4*a - 8, 0 = -5*a + o*i. Calculate the remainder when a is divided by x(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*u = -4, -o + 14 = -u + 4*u. Solve -125*g**2 + 4*g**3 - 4*g**4 - o*g - 2*g + 129*g**2 = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2177 is divided by 364.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 123205.5 - 508521.7\nAnswer: -385316.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 29 - 29.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*b + 7977 = -188709 - 57806. What is the highest common factor of b and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 258271252, 258271249, 258271244, 258271237, 258271228, 258271217?\n\"Answer: -l**2 + 258271253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c - 14. Let f be (-17)\/((-102)\/(-40))*(-18)\/10. What is y(f)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*l - 0. Suppose 4 + 5 = -l*z. Let t be (-3)\/(2\/(10\/z)). Solve -t*j = 3*d - d + 11, d - 8 = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = 0. Let g be f + 34 + 1 + -2. Suppose -4*h + g = 5. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 259 (b) -2\/15 (c) -0.275\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.5726 to one dp.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 422380000 rounded to the nearest one million?\nAnswer: 422000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 - 0 - 0 - -2. Let q = w + 12. Solve 0*y = -q*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + 45 - (-20 + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24526117*a**3*o**5 + 6*a**3*o**2 - 2*a**3*o + 35630382*a*o wrt o.\nAnswer: 490522340*a**3*o**3 + 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (4 - 1) + 1. Let v be (-40)\/24*(1 - o). Solve -5*q - 3*u = 12, -u = q - 3*u + v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -29*g. Let v(u) = -17210*u. Calculate v(o(s)).\nAnswer: 499090*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**2 - 3*w - 4. Let d be c(-2). Calculate the greatest common factor of d and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63142 and 245338.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1173\/5 + 236. Let -q*w**3 + 4\/5 + 16\/5*w + w**2 = 0. Calculate w.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/407 - 35\/(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 790, 2\/3, -5\/2, -0.21 in decreasing order.\nAnswer: 790, 2\/3, -0.21, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 21*f - 9. Let c be m(-11). Let i(t) = -3*t**2 - 4*t + 3. Let u(k) = -2*k**2 - 3*k**2 + 6*k**2. Let x(z) = i(z) + 4*u(z). Calculate x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 3:14 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 4:56 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 - 2973*p**2\/4 + 2849043*p\/4 - 865253071\/4.\nAnswer: (p - 1171)**2*(p - 631)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -19*z - 3. Give x(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 3*m + 3*m + 1 + (-2 + 0 + 0)*(-2*m - 3*m + 8*m) + (-92 + 226 + 198)*(-3*m + 0*m + m) in the form t*m + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450561?\nAnswer: 3, 101, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133 + 82. Let h = l - -52. Solve h = 3*o - 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*m - 2, -4*m = -5*w - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60614 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 54. Let t be 6\/2*5\/c*-2. Suppose 0 = -t*h + 4*h + 8*h. Solve -5*n + 3 = -2*p, -5*n + h*n = 3*p - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 10:41 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 1257, 4064, 9523, 18516, 31925, 50632?\nAnswer: 75519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 12) to base 5\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -45. Let d(u) = 27 - 63 - u**z + 30. Give d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deieknw. What is prob of sequence wi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38614 - 37078. What is the highest common divisor of 80 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/111 - 238\/(-4403)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -n. Suppose 0 = 2*k + n*k - 15. Solve -4*o = 2*j + 10, -25 = -k*j + 2*o + 2*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1224)\/34 - -298066)*1\/1. Round r to the nearest one thousand.\nAnswer: 298000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 14 + 2 = 0. Calculate the remainder when 4 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 10, 14, 20, 28, 38, 50?\n\"Answer: p**2 - p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 635413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*n - 3*n - 11 = 0, -4*h = -3*n - 31. Suppose 3*b - 8 - h = 0, 2*d + 2*b - 34 = 0. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7370\/19 - -388. What is the closest to -1\/86 in 2, g, 2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 2100023?\nAnswer: 2100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.786698ml in litres?\nAnswer: 0.003786698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155025862 a multiple of 818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -53213*o + 5715. Let j(x) = 251*x - 27. Give 3*b(u) + 635*j(u).\nAnswer: -254*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7516.\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2. Let h(g) = -14*g**2. Suppose 22 = -2*z - 5*x, 5*z = 10*z + 5*x + 25. Give z*h(n) + 3*o(n).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*d + 15*d**2 - 185*d + 523*d - 190*d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25837?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*n - 63 = 0, 0*t - n = -2*t - 34. Let d(s) = -28*s + 29*s + 0*s + 15. Let z be d(t). Solve z*b - 2 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30234746?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1213 = -105*a + 239*a - 2271 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -76 - 78 + 150 - 2*g. Let u be t(-5). Suppose 164 = u*v - 262. Is 72 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 18*q**3 - 9*q - 25. Let g(m) = 17*m**3 - 8*m - 25. What is 7*g(j) - 6*z(j)?\nAnswer: 11*j**3 - 2*j - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, a: 8, z: 2, i: 3}. Give prob of picking 2 i, 1 v, and 1 a.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*f = -32*f - 35*f - 62*j - 1369, 0 = f - 4*j - 83 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 2829 - 6866 - 28105 = 0. What is the smallest common multiple of 180 and g?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 8. Suppose -3*j = -2*n - 3, 4 - 1 = n + v*j. Suppose 0 = -5*w - a + 309, n = -4*w + 2*a - 5*a + 245. List the prime factors of w.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24191 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 5. What is the tens digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2335129538 to the power of 1\/3, to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -287999 times -0.6?\nAnswer: 172799.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-250)\/8*3\/395. Let z = -1\/79 + v. Let d = -0.02 - 0.28. Which is the third smallest value? (a) z (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2013)\/23463 + -2*(-2)\/36. Let n be (-12)\/(-6)*(-1)\/2. Is n at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-10)*x)\/(x\/((x\/(x*x*x**7))\/x))*(x**0)**0)**(-42))**(4\/3) assuming x is positive.\nAnswer: x**1064","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32\/13 - 134\/65. Let j be (-100)\/(-7) - (-4)\/(-14). Let q be -7 + 4 + 38\/j. Which is the closest to y? (a) 2 (b) 0.09 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, -322, -1053, -2162, -3649?\nAnswer: -5514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 - 26*h**2 - 13*h + 575. Let j(r) = -r**3 + 12*r**2 + 6*r - 287. What is 13*j(p) + 6*k(p)?\nAnswer: -p**3 - 281","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 19*l**2 + 20*l + 14. Let i be d(20). Let j = i + 24. Suppose -4*z - 3*f + 81 = 0, -j = -2*z - f - f. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 19*g + 57)*(-5*g**2 - g**2 + 5*g**2 + (-3*g + g + 0*g)*(4*g + 2*g - 4*g)).\nAnswer: 95*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6931?\nAnswer: 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Collect the terms in 2*i - 81871 + 40900 + 40932.\nAnswer: 2*i - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3616.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 91*k**2 + 176*k - 917. Let l be u(-93). Let w(z) = 4*z**2 - 48*z - 12. Calculate w(l).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*sqrt(2448) - (1 + ((sqrt(2448)*1)**2 - sqrt(2448))).\nAnswer: -2449 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/96 and 31\/155376.\nAnswer: 310752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60788207.\nAnswer: 60788207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**6)\/g*g**(2\/7)*(g**1)**(-2\/113)*(g\/(g\/(((g\/((g*g**(-7))\/g))\/g)\/g*g))*g**(-2\/11))\/(g*g*g\/(g**(-3)\/g)*g*g*g**5) assuming g is positive.\nAnswer: g**(-112363\/8701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let f(y) = 9*y - 2. Let q(s) = 6*b(s) + f(s). Let u be q(2). Let c(n) = n**2 + 5*n - 6. Let j be c(-6). Solve j = -2*d + d - u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 2*i - 2. Is z(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 215*g\/2 - 46225\/4.\nAnswer: -(g - 215)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5359*r**2 - 7252*r**2 + 12633*r**2.\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2. Let h(c) = 2761*c. What is f(h(w))?\nAnswer: 22869363*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58397 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-1)\/(-2)) + 0. Let y be (-5)\/(-20) + 19\/4 + 0. Which is the closest to 1\/3? (a) -21\/2 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 12 = 3*u. Let i = -4 - u. Let l be ((-9)\/15)\/((-3)\/2). Which is the nearest to -1\/3? (a) -2 (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/4 + 4*g**3\/3 + g**2\/2 + 972*g - 2. Determine f(-8).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 137*a + 1039. List the prime factors of m(-76).\nAnswer: 7, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -218, 2, -10, -2, -4 in increasing order.\nAnswer: -218, -10, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 87690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 10 = 5*z, 5*w - z - z = 4. Solve w = u - 0*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2169\nAnswer: -4\/2169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 5*r - 2. Let z be u(-3). Let x be (6\/z)\/(-2 + (-76)\/(-32)). Solve 0 = -0*t + 2*t - 2, -x*l + 3*t - 3 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 3*c + 8, -5*x + 5*c + 6761 = 6766 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 42. Let i be -6 + (-84)\/(-6) + -4 + -5. Let h(t) = 4. Let d(v) = i*h(v) - m(v). Let z(p) = 3*p**2. Give z(d(n)).\nAnswer: 3*n**2 + 276*n + 6348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -4*p - 18. Suppose 4*m + p = -4*w + 60, -23 = -2*m - w. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -79.\nAnswer: -79, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z + 1. What is k(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349979.\nAnswer: 7, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 5, 2, -1 in descending order.\nAnswer: 5, 2, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -2 + -3)*-6 + -5)**2 - ((sqrt(110) + sqrt(110)*-2 + sqrt(110))*1)\/(-5*2*sqrt(10)).\nAnswer: -300*sqrt(11) + 1021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 793 - 792.990652. What is p rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14345 - 14341. Solve -2*c + 7*c - q*n - 29 = 0, -4*n = c - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3 - 3*f**2 - 45*f - 123 with respect to f.\nAnswer: 6*f**2 - 6*f - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 - 5*a + 3. Let m be ((-1 - 0) + -1)*74 + 3. Let v = -138 - m. Let c(d) = -5*d**2 - 10*d + 6. Let l(h) = v*r(h) - 4*c(h). Determine l(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/6)\/(292\/876)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y - 79. Let m be d(24). Let w(l) = l**2 + 5*l - 14. Let j be w(m). Solve -3*v + j*v - 15 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.3919 rounded to 1 decimal place?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -125422 - -20?\nAnswer: -125402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 4*d + 8. Suppose 0 = d*l + 2, -1 = -2*s - 2*l - 3. What is the units digit of 66\/11 + (-4 - s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l = 33 + 35. Put -4, 4, 0, l in decreasing order.\nAnswer: 4, 0, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 343 + -333. Suppose 0 = -2*f + c, 2*d - 1140 = -4*f - 328. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 28 = 56*t - 51*t, 2*t + 2*i = 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -10. Suppose s + q = -3*s. Put s, 2, -4 in increasing order.\nAnswer: -4, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from {i: 5, w: 4, g: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 348 - 336. Solve q*x = 9*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*x**3 - 605*a**3 + 734*a**2*x**3 + x wrt x.\nAnswer: 12*a**3*x + 4404*a**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -206245 + 38361473\/186. Let j = y - -2\/93. Let s be -1 - (91\/(-21) - -4). Which is the third biggest value? (a) 5 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -8568.\nAnswer: -1\/2142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.0829403 to one decimal place.\nAnswer: 61.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by 1?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 2*a**2 - 25*a**3 + 27*a**3 + 2 - 23*a**4 + 0*a**2 as u + l*a + i*a**4 + p*a**3 + d*a**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 381724, -4, 5.\nAnswer: -4, 5, 381724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5 = -0. Suppose o*m + 178 = -17. Let b = -24 - m. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/3 + 826*g**4\/3 + 113339*g**3\/3 - 1596454*g**2\/3 + 910976*g = 0. What is g?\nAnswer: -647, -192, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -856*x**8\/7 + 193*x**4\/12 - 5*x**2\/2 + 388*x - 5. Find the third derivative of a(y) wrt y.\nAnswer: -821760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 2. Let q be (-3 - -1)\/((-4)\/14). Let p be l(q). Let i(u) = -u**2 + 10*u + 5. Is i(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27029 - 45*p + 27029 + (-7*p + 2*p - 4*p)*(5 - 4 + 1))*(0 + p + 0) in the form a + u*p**2 + k*p and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2398 - 3008 = -p. Suppose 7*n - 1300 = p. What are the prime factors of n?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57)\/(-190)*5\/3. Let i(k) be the second derivative of 0*k**2 + 0*k**3 + 0 + o*k**4 + 3*k. Let u(b) = -b. What is i(u(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 2*t - 4. Let d be 18\/(-9) + 2 + (6 - 1). Suppose 40 = -3*u - 7*n + 2*n, 60 = -4*u - d*n. Let j be u\/(4\/(-1))*-1. What is q(j)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*g, 4*c + 11 = g + 35. Calculate the lowest common multiple of c and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168.847 - 169. Let n = f - -0.853. Let d = 2.9 + -3. What is the closest to d in 1\/2, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Let r(i) = -i**2 + 6*i + 5. Let t be r(6). Suppose k - 13 + 3 = -l, 30 = t*k + l. Calculate the remainder when k is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(13)*2*2 + sqrt(91)\/(sqrt(7)*-4) + sqrt(13))**2*5 + 4.\nAnswer: 23561\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1970807, -1970817, -1970827, -1970837, -1970847?\n\"Answer: -10*w - 1970797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20662929 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/7 + 1391*u**2\/7 + 83359*u\/7 + 1277169\/7 = 0.\nAnswer: -1329, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 y when four letters picked without replacement from ymtmmtmmtmmymmm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 2624*w**2 + 28570*w + 67652.\nAnswer: 2*(w - 1301)*(w - 13)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10757*n + n**3 + 10757*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - j - 2*j)*(1 - 3 + 3)*(-j + 10*j + j).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzmmzm. What is prob of picking 2 m and 2 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-156)\/(-4)*3 - -2. What is the highest common factor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 1:23 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/99)\/(50\/180)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -407 + 575. Suppose 0 = -6*n + 2*n + 96. What is the greatest common factor of n and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2277 and -2277 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/(-8))\/(33\/(-154)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spddvpsmsmpsppppds. Give prob of picking 1 m, 1 d, and 1 p.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1132722 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by -1.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:56 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxqqxxqqqqqxqxxxxxqq. What is prob of sequence xqqq?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35982 - -310159. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 186 - 231. Let i = -42 - j. Solve 3*w = i*t - 6, 4*t - t + 5*w + 34 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 + -77. Let o = 1.4 + -0.4. Is v smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 0.52 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**3 - 20*b**2 - b + 30. Calculate o(8).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g. Let p be o(1). Let v = p - 8. Does 12 divide (19 + (v - 2))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 4. Let p be q(-3). Let y be (-1 + -2 + -1)\/p. Let s be (-77)\/(-21) + 2\/(-3). Solve s = i + y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 40*j + 180. Determine f(39).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -72879?\nAnswer: 72879.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*w + 4 - 4 - 6*w to y*w + z and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(0*d + d - 2*d) + (-1 - 3 - 1)*(5*d - 72 + 72) to r*d + t and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4 + 4 + 816*m - 4. Let i be p(1). Suppose 2*d + i = 2*r, -r + 401 = -0*r - 4*d. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*m + 225, -4*f + 28*m - 32*m + 64 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3057*b + 265934. Give c(-87).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 79 = 4*z, 140 = 5*m + 3*z + 2*z. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pepptipeullitpppp. Give prob of sequence eti.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -418 + 40977*k - k**2 + 0*k**2 - 40977*k to h*k + b + u*k**2 and give b.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 51\/2*12\/6. Let y be 8*(1358\/112 + -10). Calculate the highest common divisor of h and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, 3, 13 in increasing order.\nAnswer: -17, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13786, 13748, 13674, 13552, 13370, 13116, 12778, 12344?\nAnswer: 11802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32465210, -32465211, -32465212, -32465213, -32465214, -32465215?\nAnswer: -32465216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2140, 4300, 6478, 8680, 10912, 13180, 15490, 17848?\n\"Answer: u**3 + 3*u**2 + 2144*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 + -0.359533?\nAnswer: -2.659533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 0. Let v be 9\/6 + (-2)\/(-4). Let r be 5*((-15)\/3 + v + 2). Put 1, r, b in increasing order.\nAnswer: r, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from qnanejju.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3804789*u**2*v**3 + 2433*u*v**3 - 355*u*v**2 + v**3 wrt u.\nAnswer: -7609578*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/7 + 220760*w - 21321552700.\nAnswer: -4*(w - 193165)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 + 694 + 313 = -44*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 2*b**2 + 3*b - 2. Let o(u) = -5*u**3 + 9*u**2 - 16*u + 11. Give -11*n(p) - 2*o(p).\nAnswer: -p**3 + 4*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -280*y**2. Let t(q) = -6*q**2. Determine v(t(u)).\nAnswer: -10080*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -362 + 124. Find the common denominator of -17\/7 and 1\/(-6)*(i\/(-30) - -1).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -330, -1, 3, 14.\nAnswer: -330, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 2:28 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 12:27 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/58 and 55\/58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -70, -1\/6, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(343) + 0)**2*-6 + sqrt(28)\/(-2*sqrt(4))*-6*-5.\nAnswer: -2064 + 69*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17 * -87.1\nAnswer: -1480.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 975136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 112550? (a) 0.7 (b) -5 (c) 13\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-one fifths of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1155)\/308)\/(((-54)\/360)\/(4\/(-45))).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110011110 (base 2) to base 14.\nAnswer: 4a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -2 + 5 + (-65)\/13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:50 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 1:09 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -38.2. Round m to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-354 + 373 - (13 - -1)) + (6 - (-1 + 3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g + 82. Calculate u(-40).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 1. Suppose o = d - 3 + 4, -2*o = 2*d + 10. Let n be w(o). Let t = -22 + 27. Put t, -2, n in ascending order.\nAnswer: n, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 417828044 + -417828024.1999921. Let g = 20.009 - 0.209. Let z = f - g. Round z to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114 + -112 + (-5)\/(20\/52)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2646 + 2642. Let w = 12\/55 - -2\/11. Suppose 4*d + g = 0, -4*d - 2*g + 1 + 3 = 0. Which is the closest to m? (a) w (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88944 and 86064.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1008 - 2?\nAnswer: -100a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = -3*v + 38. Let u = 90 + v. What is the remainder when 57 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5050391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1072 and 2490122?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 345219.6nm?\nAnswer: 0.03452196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2)*(-20)\/(-4). Let y(t) = t**3 + 7*t**2 + 4*t - 5. Let i be y(z). Suppose 3*d + i = 8*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 6*a**2 + 4*a - 8. Let d be x(-7). Suppose -4*u + 8 = -j, 5*u - 2 = d. Suppose -j*b - 465 = -7*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4116 is divided by 1264.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, y: 7, k: 1, h: 6}. What is prob of picking 1 h, 1 y, and 1 k?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569023794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 33. Suppose 3*z - 3*u = 0, 3*z + 5*u + 2 = 26. Let j = z - -2. Calculate the remainder when b is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 - 2*w**4 + 2*w**4 - 6*w - w**4 + 6*w + (4*w**3 + 18*w**2 - 18*w**2)*(w - 2*w + 2*w) + 3 - 3 - 2*w**4.\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17032, 18834, 21838, 26044, 31452, 38062?\nAnswer: 45874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from ppc?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -8*f - 61, -16496 + 16406 = -4*z + 2*f for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (10\/34)\/(23024\/(-48926))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2298?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/21 and 53\/2778?\nAnswer: 19446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*-1204)\/(38\/(-19)). Let s = z + -225. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 11*r**2 + 3*r + 37. Let w be n(-11). Suppose w*m - 9 = -s, -12*s + 7*s = 2*m - 27. Let b(y) = 5*y**3 - y**2 + 3*y - 2. Determine b(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 7522*s + 60293. Give o(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.091 - -1.091. Let p = -11.8 + 1.8. Is j equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*f - 11 = 0, 5*a - 2*f + 0*f - 16 = 0. Differentiate -a + n + 5 - 5*n + 2*n with respect to n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -581, -384, -187, 10, 207, 404?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -1.68\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 6*f - 2*f)*(-3*f - 2*f + 0*f)*(-1 + 6 - 4 - 2*f).\nAnswer: -40*f**3 + 20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 + 19*g**2 - 9*g + 13. Let m be f(9). Suppose -16*k + m*k + 423 = 0. Calculate the highest common factor of 94 and k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -29, -59, -101?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 34574722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - t + 6. Let s be i(2). Put 4, -5, 2, s in ascending order.\nAnswer: -5, s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than or equal to 10666391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 286?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187694 by 7219.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 1065025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 12*l + 3*d, 14135*l - 14131*l = -2*d + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4081103 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 8*o - 2. Suppose -336 = o*h - 1310. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -176 - -116. Let i = -59.9999933 - s. Round i to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/29, -14\/5, -783\/44?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419564*p**2 - 6*p**3 - 209785*p**2 - 209779*p**2.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a centimeter in millimeters?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/5)\/6)\/((90\/9)\/20)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1613 - 1601. Calculate the lowest common multiple of 324 and h.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:12 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 0*r - 30. What is the least common multiple of 1 + 8\/((-32)\/(-12)) and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x - 59 + 30 + 29.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 562 + -559. Solve -5*g + 2 = -o*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 120 = -0*r. Let j = -32 + r. Does 12 divide 20*(8\/(-10) - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2. Let g(d) be the second derivative of -374*d**3\/3 + d**2\/2 - d - 662. Calculate q(g(y)).\nAnswer: 559504*y**2 - 1496*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d14c2 - 1a?\nAnswer: d14a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/3)\/c*c\/(((c\/(c**(2\/9)*c*c))\/c)\/c)*(c**(1\/3)\/c)**(-11\/2) assuming c is positive.\nAnswer: c**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 6:53 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/2*(-15)\/(-10). Let f(x) = -2*x**3 - 15*x**2 - 19*x + 11. Let l be f(-6). Suppose -l*t = -15*t - 18. What is the highest common factor of t and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 - (28\/7 + -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3231835.\nAnswer: 5, 797, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 22253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109\/252590 or 1?\nAnswer: -109\/252590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, d: 19}. What is prob of sequence dad?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1\/53 + 0). Let f = y + -272. Let w = -128 - f. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1284202 + -911063. Let n = -239139 + j. Round n to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 + 2*s + 1. Let y be n(-1). Let p be -1 - -2 - -2 - -157. Let c be (p\/4)\/4 + 1. What is the highest common divisor of c and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1289, 0.2, 2\/7, -3\/10, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9020 - 9215. Let s be 0 - -1 - (-18)\/(-45). Which is the nearest to n? (a) -5 (b) s (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o**2 - 15*o**2 - 36*o**2 + (4 + 1 - 4)*(-2*o**2 + 3 - 3) + 5 - 5 + o**2.\nAnswer: -58*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -498748, -498824, -498952, -499132, -499364?\nAnswer: -499648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1000*t**3 + 484*t**2 - 8*t - 448874 wrt t?\nAnswer: -6000*t + 968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 55*q**3 + 2*q**2 + 13*q + 13. Determine m(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1118 + 2319. What is the remainder when h is divided by 82?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1930 and 1.1?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41814580799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 - 11*b**2 + 5*b + 6. Let k be t(5). Suppose 5*n + 3551 = k*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 4:19 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.63 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 0*b = 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 5 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9927.999 weeks in minutes?\nAnswer: 100074229.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13 - 4.154. Let g = 4 + c. Round g to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 6*x = 0. Solve x = y + 1 - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 825?\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 15*a - 27. Let r be l(12). Is 9 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c*o**3*v + 15*c*o*v + 7*c*v + 188*o**3*v - 10158*o**2*v - 3*o*v - 50*o - 9*v wrt o.\nAnswer: 18*c*o*v + 1128*o*v - 20316*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5629*z**2 + 2*z**3 - 214*z**4 + 2*z**6 + 34176326*z**5 - 34176326*z**5 wrt z?\nAnswer: 240*z**3 - 5136*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -41*f**2 - 5*f. Let u(h) = -20*h**2 - 3*h. Determine 7*u(c) - 4*w(c).\nAnswer: 24*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 1, u: 1, c: 1, p: 1}. What is prob of picking 1 u and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421040015 a multiple of 745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3786 and 13393606.\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = -m - 0*p, -5 = -m + 3*p. Suppose 25 = -m*u, -3*h + u = 5*u + 20. Sort h, 1, -4.\nAnswer: -4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r + 3*x - 4, x + 12 = -2*r. Which is the fourth smallest value? (a) r (b) -1\/7 (c) -2\/5 (d) 56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*k + 92*k = 104 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47253703 and 36208.\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 236292629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 0.17 (c) 2\/27 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/2 (b) -48 (c) 1\/2 (d) -1 (e) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.33\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 451581776, 451581777, 451581778, 451581779, 451581780?\nAnswer: 451581781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -953 + 973. Calculate the remainder when 531 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpp when three letters picked without replacement from {u: 2, z: 4, p: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 6, -495.7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2) - 55\/(-70)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.412882 kilograms in micrograms?\nAnswer: 1412882000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229265 = 11512*b - 81709 - 356722 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12207990 divided by -3554\nAnswer: 3435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = -5*m + 4, -4*h + m = 21. Suppose 7 = -4*z - 5*x - 0*x, -x = 3*z - 3. Suppose -k = -z - 0. Sort -1, h, k.\nAnswer: h, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**5*z**(4\/9)*(z\/((z**(-1)\/z)\/z*z))**(-29))\/((z**(-2)\/((z*z**1)\/z))\/((z**(-2\/11)*z)\/z*z**(2\/7))) assuming z is positive.\nAnswer: z**(-59911\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 160509869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 + 83. Calculate the highest common factor of r and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7313883 - -7313882.86000036. Let n = k - -0.14. Round n to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 109.241 from -297.\nAnswer: -406.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11))**(-8) assuming k is positive.\nAnswer: k**(-16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171*n**2 + 176*n wrt n?\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/9, -186, 3, 36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-42)*4*36\/96.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 6*m = -6*n + 10, -8*m = 2*n + 19 - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 893, 4095, 9555, 17279, 27273, 39543, 54095?\nAnswer: 70935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223 - 103?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5200 - -2?\nAnswer: -5154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59085*q + 7338 wrt q.\nAnswer: 59085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) 1 (c) -4 (d) -0.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14096*-0.2\nAnswer: -2819.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5\/2 - 295*a**4\/2 + 2880*a**3 - 18630*a**2.\nAnswer: 5*a**2*(a - 23)*(a - 18)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 12:17 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8171, -8152, -8129, -8102?\n\"Answer: 2*y**2 + 13*y - 8186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1372 + -1264. Calculate the smallest common multiple of g and 99.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6884027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2)*20\/(-30). Is 23 a factor of (1 + 3)\/(f\/23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1125)\/196875)\/(44\/275).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) 0.034 (c) -1378\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let x(g) = 42 - 18 - 7*g - 24. Give x(a(i)).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44.46 + -45. Let o = h - -0.04. Let l = o - 0.5. What is the closest to l in 5, -0.5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 241 + -244. Let u(l) = 8*l**3 - 4*l. Let v(q) = -7*q**3 + 3*q. Give c*u(x) - 4*v(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w + 5. Give y(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 5 - 5)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -51. Suppose -5*d - j*l + 7*l = -260, -2*d - 4*l = -104. Let s(y) = 10*y + 1. What is the remainder when d is divided by s(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-g + 2*g - 2*g)*(-1 + 4 - 2) - 5*g + 4*g + 4*g - 120 + 178*g - 91*g - 88*g - 3*g - 3*g + 4*g)*(5*g - g - 3*g).\nAnswer: -g**2 - 120*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.17 - -137.17. Let t = -138 + i. Which is the biggest value? (a) 72 (b) t (c) -0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (12 - (20 + -13)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9 = -13. What is the highest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.05848 * 52.\nAnswer: 1251.04096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 - 2*h**3 - 3*h**3 + (-3*h**2 - 3*h**2 + 7*h**2)*(-6*h + 3*h + h) - 3*h**2 + 3*h**2 - h**3 - 17*h**3 - 19*h + 18*h**3 + 14*h.\nAnswer: -4*h**3 - 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 74*q**2 + 380*q + 39. Determine j(-6).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let d be 7 + (-1)\/(z\/(-2)). Solve 24 = -4*c - 4*n, 4*n + 13 = -c - d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4335 divided by 17.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 20. Suppose -t = p - 4*p + c, -4*p + 2*t + 46 = 0. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 2*o**3\/3 + 3*o**2\/2 - 6. Let z be c(-2). Put z, 7, 1 in decreasing order.\nAnswer: 7, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b - 196 = -13*b. Sort -2, b, 4.\nAnswer: b, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 72\/7*w - 2*w**2 - 10\/7 = 0?\nAnswer: 1\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/8)*q\/(q*q**(-2\/107)*q))**40)**(-3\/4) assuming q is positive.\nAnswer: q**(10995\/428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i**(-4)*i))*i**(-1))\/(i**(-1\/13)*i*i**5\/i) assuming i is positive.\nAnswer: i**(-103\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a hour in seconds?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 8 = 0, -5*x + 17 = 5*k + 57. Let u(p) = -p + 2. Let z be u(0). Let f = z + -2. Sort f, 1, x in ascending order.\nAnswer: x, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 0 - 1\/6*w**3 + w + 3*w**2. Let z be g(6). Solve -b + z = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442749?\nAnswer: 3, 147583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 + 89. What is the highest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (1 - 11) - -13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**5 - h - 1. Let x(n) = -4*n**5 + 3*n**4 - 3*n**3 + n**2 + 3*n + 3. Let u(t) = 3*r(t) + x(t). Find l, given that u(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**2\/2 + 3363. Let q(g) = -8346*g. What is q(u(a))?\nAnswer: 8346*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -53 times 195.05\nAnswer: -10337.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f = -190 - 50. Suppose -4*c + 588 = -4*g, 0 = 4*c - 5*g - 426 - 159. Calculate the greatest common factor of f and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29574, 59145, 88724, 118311, 147906?\n\"Answer: 4*h**2 + 29559*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*k**5*m + 5*k**3*m - 2*k**2 + k*m - 6*k + 11 wrt k.\nAnswer: 280*k**3*m + 30*k*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 2, e: 2, x: 1}. Give prob of picking 1 l, 1 p, and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.948301352 to 2 dps.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1372797033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 15*p**2 - 8*p - 27. Let f(t) = 4*t**2 - t - 1. Let j be f(2). What is the hundreds digit of z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: 170 (base 9) to base 10\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lco when three letters picked without replacement from {k: 2, l: 1, o: 3, c: 1, s: 3}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/12)\/((-23)\/8 - -3). Let l be 0 + h\/(-45) + (-4)\/(-18). Let t be (0 - -1) + (-10)\/8. Which is greater: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214475507 or -214475506?\nAnswer: -214475507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/4 - 86353*r**2\/4 - 1865202815*r\/4 - 42853996175\/4 = 0 for r.\nAnswer: -43165, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -48) + 1007 + -1037\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/8*(-6 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(-3*n**2 + n**2 + n**2) - 2*n - 2 + 3 - 3 - 2*n**2 to the form g*n**2 + m*n + t and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -6)\/(6\/4 + -1). Let 0*r**q + 0*r + 0 - 1\/4*r**3 = 0. Calculate r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2450000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, 18.057, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3350.055 + 3360. Round c to 1 dp.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 33 = 9. Let t = s - -8. Does 32 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*t - t = 0, 0 = -4*t - 4. Let m be 1*u - 65\/(-15). Let v be ((-3)\/10)\/(48\/20). What is the closest to 1 in m, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.38229 years in months?\nAnswer: 568.58748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(17)) + 3 + sqrt(425))**2.\nAnswer: -6*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23\/8 - 3) + 151\/1336. Let g = 2212 + -2209. Are g and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from annnaaaaaan. What is prob of sequence anaa?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/80 + -7)\/((-31)\/(-5) - 6).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Let h be w*(176\/(-12) - -1). Let s = h + 70. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-8) + 0 - (0 + (-36)\/(-4)). Let y = 1259\/885 - 4\/177. Which is the nearest to y? (a) h (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 10 = 5*o, 4*s - 6 = -4*o + 2. Suppose 4*q = p + p + 30, -20 = o*p + q. Let b = p + 18. Calculate the remainder when 12 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-99)\/(-9) - 14) + 1*1772?\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 x when four letters picked without replacement from {u: 6, x: 12}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55329665 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 387*s - 362*s - 175. Let x(w) = -w + 6*w - 4 + 40. Is 11 a factor of x(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227 or 114?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-12)\/y*y**(-7\/2))\/(y**(7\/5)*y*(y\/(y\/(y*y*y\/y**(-8)*y)))\/y) assuming y is positive.\nAnswer: y**(-289\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c647 - -6?\nAnswer: -c641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1157 - 931 = -231*i - 240. Solve -4*z - i = -2*n, 2*n - 8 = -2*z - z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/14 and -63\/872?\nAnswer: 6104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3*f**2 + 4*b**3*f*n**2 - 5806*b**3*f - 3*b**2*f**2*n - 13*b**2*f*n**2 + 498*f**2*n**2 wrt b.\nAnswer: 6*f**2 + 24*f*n**2 - 34836*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 16, 1 in ascending order.\nAnswer: -3, 1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7210 is divided by 105.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 g when three letters picked without replacement from ggjgdddgjdddggjggdkj.\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 1, -2\/21, 7668.9?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**4 + 2*z**4 + 5*z**4)*(3*z - 4 + 4) + 0*z**5 + z**5 - 2*z**5.\nAnswer: 29*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:14 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, z: 2}. Give prob of sequence wwww.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klfygkfkggf. What is prob of sequence klfy?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -850*z**4 - 47*z**3 + 3*z**2 - 6495520*z wrt z.\nAnswer: -10200*z**2 - 282*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Suppose -2*c = w - 12, -4*w - 11 = -2*w - n*c. What is the least common multiple of 10 and w\/(-8) + (-10)\/(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2872 + 40303\/14. Find the common denominator of 298\/24 - (-7)\/(-7) and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i - 120. Let t be c(16). Is (152\/((-8)\/2))\/(1\/t) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 578772 and 53124.\nAnswer: 10996668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -16. Suppose 2*h + 0*h = 4. Let s be (1*-4)\/(h - 3). Put s, l, -1 in decreasing order.\nAnswer: s, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1555, 1556, 1557?\n\"Answer: s + 1554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252 - -1200532?\nAnswer: 1201224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738157191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 19*k**2 + 130 - 130. Let b(n) = -n**2. Calculate b(s(r)).\nAnswer: -361*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313 - 231231?\nAnswer: -230312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 + 124. Suppose 7*y - 22 = -a. What is the lowest common multiple of 33 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -66 - 0?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.49 + -33.51. Let o = n - -39. Which is the second biggest value? (a) -6\/5 (b) o (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.712 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -42. Let x = -5 - 0. Let f be 6\/x*(-25)\/10. Solve f*q = -2*d - d - i, -q - 2 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2037*r + 232214. Determine y(-114).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - 1*sqrt(1694))\/(sqrt(22)\/(-1*sqrt(11))) + -1)**2.\nAnswer: -20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1. Let q(t) = 2295*t**2 + t - 5. Determine q(o) - 5*w(o).\nAnswer: 2295*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z + 5. Let o(u) be the second derivative of u**6\/360 + u**5\/40 - 13*u**4\/6 - 12*u. Let d(t) be the third derivative of o(t). Give 5*d(h) - 3*w(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -1 (c) 397 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/360 and 113\/793080?\nAnswer: 793080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 6. Let h be x(-10). Let n = -16 + 18. Suppose b = -5*m + 24, -171 = -h*b - 7*m + n*m. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634*a + 71*a - 2547 + 1246 + 1301.\nAnswer: -563*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-47)\/((-705)\/50))\/((-45)\/15)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 86 - 68. Calculate the least common multiple of 8 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 1.4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a89 (base 11) in base 4?\nAnswer: -1213213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/20 + 2 + (-266)\/(-35).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93839*h**6 - 14*h**4 - 648433*h**2 - 1.\nAnswer: -11260680*h**3 - 336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7399 + 17016. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/4 in -2, 2, 3.1, 0.5, -5\/2?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 20, 5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41599, -83176, -124753, -166330, -207907, -249484?\nAnswer: -291061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2 + 24*g + 144 = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1\/((-1 + 3)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -12*b + 3. Let g(j) = -10*j + 4. Let u(o) = 5*g(o) - 4*r(o). Calculate the least common multiple of 28 and u(-14).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i. Suppose -u + 72 + 37 = i. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3 + 13 = 2*o, -o - 4*u + 20 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.028 (b) 1\/3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a. Let d = a - 6. Let c(b) = -3. Let l(t) = t + 2. Let v(z) = -6*c(z) - 5*l(z). Let x(w) = -6*w + 9. What is d*x(g) + 7*v(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*-1*(-24)\/9. Let x = -11 - -4. Let b = x + p. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 9:19 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 6*n**2 + 3. Let x be l(6). Solve 3*z**2 - 5*z**5 + 21*z**3 + 3*z**5 - 6 - x*z**4 - 15*z - 4*z**5 + 6*z**4 = 0.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**5\/2 - 1290*x**4 + 559839*x**3\/2 - 1105527*x**2 + 1376448*x - 549552 = 0?\nAnswer: 1, 2, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (16 + -16)) + (0 - -6).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51565 + 390?\nAnswer: -51185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 60 - 113 - 11*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(3*(sqrt(891) + 2)*1)**2.\nAnswer: -48326 - 1944*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 207*y**2 + y.\nAnswer: -207*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -117, 0, 1\/7, 302\/3?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1683 and 5661?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3166 - -3161. Suppose -2*f - 4 = -12. Suppose -f*t - 9 = -t - 4*a, -5*t = 2*a + 41. Put w, t, -3 in ascending order.\nAnswer: t, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 20. Calculate the highest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 6, 0.5, -1\/4, 137?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 68c1bb8 - -5?\nAnswer: 68c1bbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-8 + 3) - -6 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 23 + 199 = 0. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 11 = 5*f, 0 = 3*f - 3*n - 1 - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18946167293308 and 1?\nAnswer: 18946167293307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 5:08 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -17961842 equal to -17961842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.00000023 + -13. Round m to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/3296 and 59\/3321132.\nAnswer: 26569056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/(-8))\/(12\/(-24)). Solve 12*h - l*h = 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + 21*t**2 + 6*t + 58. Let i be j(11). Suppose -i*g = -7*g - 4*g. Solve g = -9*b - 0*b - 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 3\/3 - -1. Suppose 0*l + 42 = j*l. Solve 0 = 3*p - 5*p + u + 7, 0 = 5*p + u - l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 4*s - 2. Suppose o - 3*h - 3 = 0, 5 - 11 = -2*o + 2*h. Let r be i(o). List the prime factors of -1 - (-20 - (-4 + r)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1756415, 1, 4 in ascending order.\nAnswer: 1, 4, 1756415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjs when four letters picked without replacement from {j: 7, s: 9}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*z**3 - 4*z**2 - z - 2*z**3 - 13*z**3 to the form j*z**2 + f + a*z + y*z**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4735482 is divided by 77.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59400 divided by -5940.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 655 - 323. Let o = s - 198. Does 36 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 35*j - 6. Let m be w(4). Suppose 3*l - 114 - m = 5*i, 106 = l + 3*i. Calculate the greatest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10303267 - 10303267 - 3*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*x - 25 = 6*h, 5*h + 3*x = 15. Let i(c) = -2*c**3 - 12 + c**3 + 16*c**2 + h*c**3 + c. Let a be i(16). Solve 0 = -a*m + 12 - 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-6)*24\/26?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -48. Solve -4*k + f = -2*b, k + 2*b + b = -9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -164, 0, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + a. Let h be q(1). Suppose 4*k + 10 + 45 = -h*b, -85 = 4*b - 5*k. Let d be (-2)\/5 - 456\/b. Calculate the greatest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*99\/(-352))\/(60\/40)*-6?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7)\/(975\/(-364) + 3)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 180124.963 + -180050. Let z = -75 + a. Let o = -0.004 + z. Round o to 3 decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062*j - 2311 + 14614 = 48414 + 25485 for j.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 147798 divided by -483?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 30*s + 2. Let r(p) = 3*p. Determine r(i(o)).\nAnswer: 90*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 30. Suppose 2*s + s - 18 = 0. What is the units digit of 0 + (-8)\/s*x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14635865857 and -9.11?\nAnswer: 14635865847.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1816458 and 427?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anjzatnqtnnj. Give prob of picking 1 q and 1 z.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -487*j**5 - 1469*j**2 wrt j.\nAnswer: -29220*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -225*k + 112*k + 115*k. Let r(t) = 3*t**2 + 2*t**2 - 4*t**2. Determine g(r(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from muuuuukuuuuuuuu.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 4*f - 173 = f - 163, -f = 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -24140a?\nAnswer: 24140a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atla when four letters picked without replacement from aamdmaatmla.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -806 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + 0 + (sqrt(245) + 1 + 3)**2*-4 + 2)*3*-4.\nAnswer: -75312 - 16128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 2*q + 56 - 46, -5*w + 2*q - 18 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1148327 + -14808042.\nAnswer: -14808040.8851673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -336\/5*b**2 - 6\/5*b**5 - 38*b + 44\/5*b**4 + 20 + 4\/5*b**3 = 0. Calculate b.\nAnswer: -2, -1, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/10 of a millimeter?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/(-5) + 24 + 1*(-26)\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 - 0 - (-3)\/(-3). Let x = g + 14. What is the third derivative of -h**2 - h**2 + 3*h**4 + 0*h**x wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1430 - 1353. What is the remainder when 448 is divided by n?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 4*q + 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -55 and 54 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 4 + 3*m - 4*m + 4 - m - 4 + (0*m - m + 2*m)*(2 - 1 - 2).\nAnswer: -m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3795 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 30 = -4*d. Let h be ((-22)\/(-6))\/((-5)\/d). Let f = h - 5. Solve -c + 15 = -f*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79249153.03057 + 79255425. Let j = i - 6272. Round j to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whpw when four letters picked without replacement from phwjjzzzzppppvwzwj.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 2*c**3\/5 + 8*c**2\/5 + 8*c\/5 + 7. Factor o(h).\nAnswer: 2*(h + 2)*(3*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 4 + 0 - 2*x. Let u(d) = 4*d**2 - d**2 - d**3 - 4 - d + 7*d. Let p be u(4). Determine q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 24 + 0 + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 - -119.938. What is v rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3e5bc (base 16) to base 15\nAnswer: 50a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 3*w**2 + 3*w - 3. Let o be c(3). Let f(s) = -s**3 + 7*s**2 - 2*s - 7. Is 17 a factor of f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 49, 75, 101?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3522937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1*(0 - -1). Solve -2*o - z = 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.61 (c) -1\/3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14088 * -58\nAnswer: 817104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 4*j**2 - 3. Give x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16183780 is divided by 1798196?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) - (sqrt(960)*-1 + sqrt(960)))\/(sqrt(27)*-3))**2.\nAnswer: 320\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*t**3 - 2276*t**2 - 11612 wrt t?\nAnswer: -18*t**2 - 4552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 417*d - 133241. Calculate n(-212).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1539, -1537, -1533, -1527, -1519?\nAnswer: -1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341744 (base 10) in base 9?\nAnswer: 570705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, y: 10}. What is prob of picking 2 y?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5 = -44. What is the second derivative of 8*y**2 - c*y + 8*y + 18*y wrt y?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, 86, 49, 0 in decreasing order.\nAnswer: 86, 49, 6, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-5*-4)\/(sqrt(54)*5).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 c when three letters picked without replacement from crrrlrercu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -11. Let z be ((-18)\/7)\/(2\/n). Is 4779\/z*4\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 675000*s**2 - 675006*s - 1350004.\nAnswer: 2*(s - 2)*(s + 1)*(s + 337501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15710380*y**4 + 2057*y**2 + 1116.\nAnswer: -377049120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = s + 19, 1519 = y + 1523 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t = 0. Let b(g) = 2*g**3 - 3*g**2 - 4*g + 4. Let r(v) = -v**3 + 2*v**2 + 3*v - 5. Let z(w) = -2*b(w) - 3*r(w). What is z(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -822*m**2 - 5*m - 1598. Let j(w) = 1233*w**2 + 7*w + 2396. Let p(t) = 5*j(t) + 7*x(t). Find the first derivative of p(c) wrt c.\nAnswer: 822*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242304204 (base 5) to base 16\nAnswer: -115151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1254 is divided by 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 424*x + 113*x + 29*x to v*x + p and give v.\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1505)\/(-3612))\/((-21)\/(-8) - 2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -843584, -843586, -843588, -843590?\nAnswer: -843592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246711 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**3 - 4*z**2 + 6*z. Let r(d) = d**3 - d**2 - d. Let j(y) = -b(y) + 4*r(y). What is the second derivative of j(o) wrt o?\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2396027 + -533230. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/21)\/(34\/(-119))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -613, -5057, -17123, -40621, -79361?\n\"Answer: -635*l**3 - l**2 + 4*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4067.265 nanoseconds in milliseconds?\nAnswer: 0.004067265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(2\/5)))\/x)**(1\/5)*x**(-2\/21)\/x*(x\/(x*x\/(x\/x**10)))\/x assuming x is positive.\nAnswer: x**(-6497\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7 = 19. Let c = -0.1 + -0.02. Let o = c - -0.02. What is the closest to 2\/3 in o, s, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0213 (b) -11 (c) -5 (d) -1 (e) 1\/3 (f) -8.654\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 1\/7 (c) -2\/17 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35422 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {j: 2, f: 3, x: 1, h: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*l = -25 - 20, -m = -4*l + 16. Factor 2*s + 11*s**2 - 10*s**2 - 17*s**2 + 0 + m + 10*s**3.\nAnswer: 2*(s - 1)**2*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 240712668*x**2 - 240569438*x?\nAnswer: 481425336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/12)\/((-3)\/12). Suppose -5*s = 3*b + 154, -b - 68 = 2*s - a*b. Let q = 54 + s. Calculate the greatest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1617 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*i)*(i + 3 - 3)*(5 - 1 - 2)*(0*i + 0*i - 2*i**2) to the form k + l*i**4 + n*i**3 + a*i**2 + w*i and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6 + 0 - 2*s - s + s**2 + s**3 + 3*s**2. Let t be d(-5). Let h be -1 + (-1 - t) + 4. Let w(v) = -v**2 + 6*v + 4. Calculate w(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 16*w + 13. Suppose -2*i - 5*x + 25 = 0, 3*i - 7*i = -2*x - 62. Let r be j(i). What is the tens digit of (-696)\/12*1\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, -234, -702, -1358, -2196, -3210, -4394, -5742?\nAnswer: -7248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, z: 3, p: 4}. Give prob of picking 3 o and 1 z.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1497965, -2995928, -4493891, -5991854?\nAnswer: -7489817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6276.0548 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 4 - 4)*(-2*h - h + h) + 6*h**2 - 5*h + 5*h + 0*h**2 - 8*h**2 + 2*h**2 + h - h - 2*h**2 + (3 + 2 - 4)*(0 - 2*h**2 + 0) + 0 + 0 + 2*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 275446383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -199*j**2 - 190*j**2 + 386*j**2 + 42 - 39*j = 0. Calculate j.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80167944?\nAnswer: 2, 3, 3340331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 219119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -536?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l + 31. Let v be r(-13). Suppose i - 234 = -v*i. What is the remainder when i is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -382*a**4 - a**5 - 3*a**2 + 383*a**4 + a**5 - 319 - 3*a**5 + 616*a**6 - 2*a**2 wrt a.\nAnswer: 73920*a**3 - 180*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 2*z - 38*z + 5 + z - 5 - 2 - 2*z + 2 - 1 + 1 - z + (2 - 3 + 3)*(-2*z - z + z) - 4*z + 0*z + z)*(-12 + 25 + z - 10 - 3*z).\nAnswer: 104*z**2 - 156*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1213121 (base 8) to base 4.\nAnswer: -1101121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15*b**2. Let l(h) be the first derivative of 3*h**2\/2 - 15. What is l(u(r))?\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 39 + 273. Let l be d - (5 - (-28)\/(-7)). Solve 5*j + 0 = -l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -104\/5 + 42\/5*n - 4\/5*n**2.\nAnswer: -2*(n - 4)*(2*n - 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 288*x - 224*x - 3.\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, 81, 237, 459, 741, 1077, 1461, 1887?\n\"Answer: -h**3 + 42*h**2 - 35*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4705 divided by 5.\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 424b8 - 22?\nAnswer: 42496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = -0*l + 6*l - m, -24*m = -9*l - 21*m + 249 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19186589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -155917172849498.6 and 4.\nAnswer: -155917172849494.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 9*n**2 - 73*n + 39. What is t(14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 27 (b) -0.19 (c) 362\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x - 288 = -26*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13377?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 - 5*k**4 + 2*k**4 + (5*k**2 + 0*k**2 + 2*k**2)*(6*k**2 - 6*k + 6*k) + (-k**3 + 2*k**3 + 2*k**3)*(2*k - k + 0*k).\nAnswer: 40*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123 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: What is the greatest common factor of 62 and 2518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -1\/6*i**3 - 1\/12*i**4 - 105*i + 0 + 3*i**2. Let c = -2 + 2. Calculate a(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 344 + -344.00306. What is v rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/6 (b) 0.3 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 302 - g**2 + 303 + 2*g - g**3 - 2*g**4 in the form k*g**2 + l*g**4 + n + s*g**3 + c*g and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154.10976us to minutes.\nAnswer: 0.000002568496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -59*o. Let g be (2\/6)\/(1\/(-3)). Is c(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*t - 9, t - 17 = q - 14. Solve 0 = b + 4 - t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2))**(-8\/7))**38*k**(-7)\/k*(k*k*k*k*k*k**(2\/7)*k)\/k*(k\/k**3*k)\/(k**5*k*k*k) assuming k is positive.\nAnswer: k**(526\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -4. Let i(k) = 53*k**2 - k - 1. Let m be i(s). Let w = -264\/5 + m. Which is the second smallest value? (a) 2 (b) -1\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/5, -57 in descending order.\nAnswer: 2\/5, -2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, -9927, -1\/11, -6, -1\/2 in descending order.\nAnswer: 4, 0.2, -1\/11, -1\/2, -6, -9927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.265598 nanograms?\nAnswer: 0.000000000008265598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 659108724401 and -5.\nAnswer: 659108724396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3042 and 30420?\nAnswer: 30420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 - j**3 - 2*j**2 + 0*j**2 + j. Suppose -2*b = -4 - 0. Let a(s) = -s**2 - s**2 + 2*s**3 - s - s**b. Calculate 2*a(u) + 3*l(u).\nAnswer: u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p + 9. Let f(x) = -2*x + 5. Let n(d) = -5*f(d) + 3*o(d). Let h be n(2). Suppose 0*q - h*q + 272000 = 0. What is q rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -d + 93, -6*d = 5*x - d - 105. Suppose -4*w - x = r, 4*w = -4*r + 2*w - 26. List the prime factors of 82 + (0\/(-2) - 8\/r).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -272, -542, -810, -1076, -1340, -1602, -1862?\n\"Answer: o**2 - 273*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Let y be 4 - (1 + 0)*(-3840)\/(-896). Which is the nearest to -1\/4? (a) f (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-110)\/25 - -4) + (-6)\/10. Let b be ((-30)\/8)\/s - (-3)\/(-4). Is 12\/5 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1828.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 522377.\nAnswer: -1044754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8353 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: Calculate (-85)\/(-266) + (-144)\/(-76) + -2.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122 - (-2280)\/20)\/((-4)\/(-21)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 6 = n, -26 = -35*b + 37*b - 2*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5727*w - 80158. What is d(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 + 19 - -9) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1863810 and 248508?\nAnswer: 3727620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2. Suppose -5*k + 9*k = 0. Let w(d) be the second derivative of k*d**3 + 0*d**2 + 0 + 3*d - 1\/12*d**4. Give w(i(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**8\/1344 + z**7\/420 - z**6\/60 + z**5\/120 + 7*z**4\/96 - z**3\/6 - 45*z**2. Determine m so that j(m) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -13. Which is the biggest value? (a) x (b) 2\/5 (c) -2 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:56 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26187 + -2?\nAnswer: 26185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**4 + 8120*n**3 + 4022308*n**2 - 100070880*n + 607523904 = 0. Calculate n.\nAnswer: -1027, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.653 (b) 2\/7 (c) -2\/27 (d) -2970\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -846 divided by -17\nAnswer: 846\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -13 + 0*t - 2\/7*t**2 - 2\/3*t**3. Factor n(i).\nAnswer: -2*i*(7*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14488*w = 14716*w - 3876 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -39411.01 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/6*(-42)\/49*-31. Let z = k + 370\/3. Let g = -0.2 - -4.2. Sort -4, 2, g, z in descending order.\nAnswer: g, 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/(2\/(1 + -3)). Suppose -7 = -12*h + a*h. Let r(n) = -n**2 + 15*n - 6. Let d be r(15). Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-2)\/42)\/((-1)\/1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-2)*(-60)\/(-1875). Which is bigger: -3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 17*b + 4. Suppose -3*n = 2*r + 59, 3*r - 39 = 3*n - 0. Let v be x(n). Solve -v*d - 14 = 6, 0 = 3*h - 2*d - 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-1040))\/((-384)\/6144)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -871, -870, -869, -868, -867?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (54*1600\/(-34560))\/(((65\/(-24))\/1)\/1)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012862088 to 6 decimal places.\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -27*a**2 + 2*a - 2. Let z(c) = -81*c**2 + 7*c - 7. What is 7*x(k) - 2*z(k)?\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 - 3162*a + 1502*a + 1474*a as o*a + w and give w.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t**3 + 20*t - 14. Let o = 124 - 122. Let u(h) = 817*h**2 + 5 - 3*h**3 - 817*h**o - 7*h. What is 5*r(m) + 14*u(m)?\nAnswer: -2*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - 0.3. Which is the closest to d? (a) -5 (b) 6\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4554*h - 56196 - 3006 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -528 and -132.\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 570, 5 in decreasing order.\nAnswer: 570, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16*b**3 + 2*b**2 - 2. Let v(z) = -z**3 + z**2 - z - 1. Determine -2*v(k) + w(k).\nAnswer: 18*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -527535, -1055035, -1582535, -2110035?\n\"Answer: -527500*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 18*t + 24. What is y(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -41 - (-1 - -1 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*o + 5*w, -3*o + 3 = -3*w - 3. Let x = 0.4 + -0.3. Suppose 3*v - v - 6 = 0. Which is the third biggest value? (a) v (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 199582 * -0.05.\nAnswer: -9979.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -111102 (base 3) to base 15\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**2 + 3*l + 2. Let x be n(4). Suppose x = 3*t + 8. Is (-1)\/(-2)*(t - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Let h = 69650 - 69629. Solve -l*j - h = 4*t - 1, -4*t = -j + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*v*w**2 - 22*v*w - 172879*v + 10*w**2 + w - 2 wrt w?\nAnswer: 22*v*w - 22*v + 20*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*i**3 - 27*i**3 - 31*i**3)*(-18*i + 8*i - 20*i).\nAnswer: 3330*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 1. Let b(f) = -f + 6. Calculate -b(i) - 3*u(i).\nAnswer: -2*i - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i + 6*i - y, 3*i + 4*y = 12. Suppose -2*a + 4*q = -130, 0 = 2*a + q - 14 - 101. Suppose -7*m + a + 74 = i. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -16*o - 1. Determine f(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/2 of a decade?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1945 and 2880?\nAnswer: 1120320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -42456789?\nAnswer: 1\/42456789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2\/409375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 58400*d - 213160000.\nAnswer: -4*(d - 7300)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3, -5*m + 8*m + r - 81 = 0. What is the remainder when 77 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2868207 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-6) + 0 + -3. Let n be (-1 + 121)\/(h\/(-6000)). Round n to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2022 is divided by 248.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -205*j**3 + 52*j**2 - 2*j - 642. Find the second derivative of z(a) wrt a.\nAnswer: -1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5695683*c*h**3 - 61*c*h + c + h**3 + 27316*h**2 wrt h?\nAnswer: -34174098*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -295.9 + 12?\nAnswer: -283.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/8))**(-23)*(h*h**(-22)\/h)\/(h\/(h\/(h*h\/(h**(-4\/37)\/h*h)*h))))**(-1\/6) assuming h is positive.\nAnswer: h**(9985\/1776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - -9435?\nAnswer: 9398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 2*c**2 + 3*c + 3. Let h be 15\/(-45) + 10\/(-6). Let x be y(h). Let r be (x - (-13)\/3)*3. Solve -d + r*d + 4*i = -29, 5*i + 16 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**3 + 2605354*c**2 - c - 8163442.\nAnswer: 9*c**2 + 5210708*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-11 - -15 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/16 + (-5246)\/(-4880).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(546\/(-351))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (379 + 372 - 2*r**2 - 749 - 43*r)*(-3*r + 4*r + 0*r)*(1 - 1 + r) to the form f*r**4 + p*r**2 + j + t*r + x*r**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(30\/(-4)))\/(70\/105).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 3. Let q be (-3 + 1)*(14\/(-4) - -1). Let c(n) = 1. Give q*c(m) - f(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1030685 - 515338 - 515347 + 560*p**2.\nAnswer: 560*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 426841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n*x**3 - 6*n*x**2 - 398356*x**3 - 3*x**2 + 1135 wrt x?\nAnswer: 12*n - 2390136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*k = -f + 17, -f + 9 = -2*k. What is the smallest common multiple of 18 and (-20)\/(0\/2 + f)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 + 4 = 0. Let o be (-2 - f\/(-1))*-2. Let p = 1674 - 1667. Solve -o*w - p = 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*m = -28, -48 = -4*u + 2*m - 20. Let f(v) = -7*v**3 - v**2 + 1. Let l = 0 - 1. Let r be f(l). Calculate the greatest common factor of u and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccu when three letters picked without replacement from ucuccucuucucuuucccuu?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 404 - 152. Suppose 11*g - f = -3*g. Let b(w) = w - 15. Let c be b(g). Solve -i - c*i + 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 52*u**2 + 539076*u - 82936 = 0.\nAnswer: -10367, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9165.716 millilitres to litres.\nAnswer: 9.165716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 794?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + (-68 - -88) - -60.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2.4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 150*t - 35. What is the hundreds digit of v(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12401 less than -23299?\nAnswer: -35700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*x = 69 + 213. Solve x*a - 5*i - 110 = -102, -5*a = 5*i + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2)\/((-6)\/6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, 7\/4650 in increasing order.\nAnswer: -5, 7\/4650, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 9:31 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6688 and 18392.\nAnswer: 73568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**3\/6 - 11*d**2 + 11*d. Determine v(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 363, 718, 1063, 1392, 1699, 1978?\n\"Answer: -k**3 + k**2 + 359*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 214186782 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0*c + 81*c**2 - 2*c**3 + 29\/60*c**5 + 0*c**6 - 1\/105*c**7 + 1\/12*c**4 + 0. What is the second derivative of y(f) wrt f?\nAnswer: -24*f**2 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -199, 7.36 in descending order.\nAnswer: 7.36, 5, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23407 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23444 - 0.5\nAnswer: -23444.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 152021904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/48)\/((-39)\/572)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 8*x = -6, 0 = 2*r + 5*x + 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 - 13*k**2 - 375 - 5*k**2.\nAnswer: -11*k**2 - 375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b - 465. Calculate f(40).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*-1*sqrt(931) + 1*(sqrt(931) + 0 - sqrt(931)))**2.\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*r + 28 - 2, 0 = 3*f + 12. Let u be (4\/(-3))\/((-1)\/3). Let o be 2\/u + 2\/(-2). Which is the nearest to -1? (a) r (b) o (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 79830*h + 3273055. Determine g(-41).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11125541 and -15423239.\nAnswer: -26548780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 33*u**2 + 21*u - 89. Let o be q(-36). Calculate the greatest common factor of o and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/120 + a**4\/24 - a**3\/6 - 3*a**2. Let n(q) be the first derivative of h(q). Let s be n(1). Solve s*c + 4 = -0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42490 + -29815. Does 33 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5857, -23399, -52621, -93523, -146105, -210367, -286309?\n\"Answer: -5840*g**2 - 22*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(-2*a**2 - 4 + 4)*(4*a + 0*a - 2*a)*(-4 + 1 + 1).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + w**4 - 2*w**2 - 13*w + 2*w + 1 - 4*w as f*w**3 + k*w**4 + g*w + a + i*w**2 and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1682 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = f. Let c = 410 + -412. Let t = c - -8. What is the remainder when t is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h*h**(-29))**31 assuming h is positive.\nAnswer: h**(-930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyamccomcaayyyaacac. What is prob of sequence co?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 37 + 3 = 0. Suppose 0 = 3*y - 50 + m. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 66 = -0*b. Let y be 30*(-7)\/((-35)\/4). Let p = y - b. Solve 5*h - n + 26 = 0, -4*n - 8 = p*h - 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/273 and 85\/2184.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 6*y + 0*y)*(-8*y**2 + 5*y**2 + 4*y**2) + y**3 - 4*y + 4*y in the form a*y**3 + o*y + v*y**2 + p and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l*l\/l**(-1\/2)*l)*l)*l**1)\/(((l\/((l\/(l*l*l*l**(-4)*l))\/l)*l)\/l)\/((l\/(l*l**(-5\/4)))\/l)))**(-8\/13))**22 assuming l is positive.\nAnswer: l**(-484\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23920 by -2990.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43932455?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21888 divided by 608?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*j + 50 = 0, -3*v + 2*j + 86 = 19. Suppose -17*k = -v*k. Find the first derivative of -4 + k + 8 - 13*g wrt g.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c1dc (base 16) to base 14.\nAnswer: -2dd80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -20*f**3 + 2*f**2 - 1. Let n be o(-1). Let j be 98\/n + (-4)\/6. Let i(l) = l - 4. Calculate i(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -37457, -36 in descending order.\nAnswer: -14, -36, -37457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -t, 0 = 7*b - 2*b - 4*t - 3. Let y(c) = 1 + c**2 - b*c + 3 - 1 + 1. Calculate the least common multiple of 14 and y(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = p - 131, 3*q = -5*p + 4*q + 671. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 181 + -24 + -90.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*t + t. Let v be 18\/(-4)*(-24)\/t. Is (-352)\/v + 6\/(-9) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 852698411?\nAnswer: -852698410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 + 39\/12. Let u(x) = -x**3 + x**2 - x + 5. Let w be u(0). Suppose 3*z - 3 = 3. Solve 0 = 4*i - o*n - w, z*i = i + 3*n - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/11)*c\/c**(-2\/27)*(c**(-1\/2))**(1\/22) assuming c is positive.\nAnswer: c**(1465\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - ((-21)\/14)\/(-3 + 105\/40).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -211*x + 594. Solve -7*h + 30 = x*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**2 + 3*w + 3. Let z(h) = 60*h**2 - 66*h**2 + 4 + 5*h - h. Suppose 4*c = -6*c + 360. Let i = c - 33. Calculate i*z(l) - 4*x(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {k: 6, n: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10 - (-6)\/(-5) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 104617 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 21*x - 63. Let m be t(3). Let z(s) = s**2 + s + 8. Give z(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 19*x**2 - 1. Determine r(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44*x**3 + 19*x**3 + 8*x**3)*(x + 3*x - 3*x) + (2*x**2 + 0*x**2 + x**2)*(-2*x**2 - x + x) to k*x**4 + c*x**2 + a*x**3 + l*x + d and give k.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 698*m - 399. Is l(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48, 214, 490, 876, 1372?\n\"Answer: 55*c**2 + c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p**2. Let f(a) be the second derivative of 0 - 11\/6*a**3 - 9*a + 0*a**2. Calculate f(h(g)).\nAnswer: 88*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -95?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 40212*w + 8976345. Calculate g(-222).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 38\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 14, -23\/5.\nAnswer: -13, -23\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 7*v - 120249 = 4*v, -2*g + 2*v + 80182 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (2 - 19) + 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 6:06 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 17 + 6*y - 4*y)*(-3 + 2*y + 3).\nAnswer: -4*y**2 + 34*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*l - 4*u - 8, -3*u = 12. Let n(s) = -4*s**3 - 1. Let p be n(1). Let v = l - p. Let z(x) = -2*x**2 - x. What is z(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/36 and -43\/22.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 0*c**2 + c**2 + 7*c - c**2 - 11 - c**2. Suppose u = -2 + 7. Let z be o(u). Is -3\/7 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-74)\/296)\/(10\/384)*(-10)\/(-4)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c - 2 = 4*k, -2*k + 107*c = 114*c for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1011991 (b) -2\/201 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7760003 = 9*r - 8*r, -p + 23280003 = 3*r. What is r rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -790, -1576, -2360, -3142, -3922?\n\"Answer: v**2 - 789*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 4 + 4 - 6)*((4*t - 4*t + 2*t)*(-1 + 6 - 3) + (-44 + 214 + 32)*(2*t + t - 2*t)).\nAnswer: -412*t**2 - 1236*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -20*m - 17. Let u(d) = -d**2 + 7*d - 16. Let z be u(6). Let b be w(z). Let l = b - 96. What are the prime factors of l?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214427 = 6*m + 5*a, 0 = 8*a - 10*a - 10. Is 46 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1242.79 decades?\nAnswer: 12.4279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 19635 - (-4 - -2). Let f be v\/(-990) - (8 + -8). Let h = 1\/990 + f. Calculate the common denominator of -11\/14 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p**2 + 5*p**2 - 13*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1249, 1667, 2113, 2599, 3137, 3739, 4417, 5183?\nAnswer: 6049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2120 and -81\/21200?\nAnswer: 21200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 14*a - 12. Let c be (3\/9)\/((-2)\/(-6)). Let t(o) = 265*o + 268*o - 534*o + c. Calculate f(q) + 10*t(q).\nAnswer: 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m - 48. Determine c(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5376 and 173568?\nAnswer: 1214976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155 - 103. Suppose v - 17 = 5*l. Calculate the common denominator of 14 and 2\/l + ((-15450)\/189)\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.947274 kilograms to grams.\nAnswer: 2947.274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -35*c + 279 - 118 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*h - 5*l + 165, 4*l = 5*h + 8425 - 8324 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 9 = 5*q. Suppose -5*k - 5*h - 20 = 0, q*k + 1 = 2*h + 4. Which is greater: -10\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580559.\nAnswer: 7, 197, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4042 by -11338.\nAnswer: 2021\/5669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34142 and 602.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 4)*(-23*c + 12*c**3 + 23*c) + (3*c**3 - 2*c**3 - 2*c**3)*(-3 + 1 + 1)*(6 - 4 - 3) as r*c**3 + q + g*c + a*c**2 and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2127 + -2097. Let p be ((-3094)\/(-90) - 4) + 2\/9. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c*c**(-5\/4)))\/(((c*c**(3\/7))\/c)\/c)*(c**(-8)\/c)\/((c*c**(1\/9))\/c) assuming c is positive.\nAnswer: c**(-2341\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 1:53 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086425874 rounded to four decimal places?\nAnswer: -0.0864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 90 - 52e73?\nAnswer: -52dd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 - 2086*x**2\/5 + 2909*x + 16632\/5.\nAnswer: (x - 2079)*(x - 8)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -14\/659605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:56 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y, 0 = -2*r + 2*y - 76 + 84. What is the remainder when 7663 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)*4)\/sqrt(4))\/((-2*sqrt(1008) + sqrt(7))*2).\nAnswer: -6*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 398287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 381 or 761\/2?\nAnswer: 381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1010001011010110101?\nAnswer: 1010001011010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 132764869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -3, 26, -7 in increasing order.\nAnswer: -7, -4, -3, -1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 33 + 14 + 19 + 6*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-5)*t\/(t**(-3\/2)*t))\/((t*t**3\/t*t)\/t**(-1\/4)))\/(t**(-6\/11)*t**2\/(((t**2\/t)\/t)\/t*t)) assuming t is positive.\nAnswer: t**(-361\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 50 = -5*w, 3*w - w = -10. Let o = n - 0. List the prime factors of 15\/(-25) + 268\/o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 4*t**2 - t + 6. Let c be k(-4). Suppose 0 = 12*o - c*o - 36. Calculate the least common multiple of 4 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + n = -0*n - 173, 2*k = -3*n + 76. Calculate the greatest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (sqrt(1300) + (sqrt(1300) - sqrt(1300)*-1*3) + sqrt(1300))) + 5)**2.\nAnswer: -500*sqrt(13) + 32525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 4*y - 4. Suppose -14 - 2 = -4*p. Let o be l(p). Which is the smallest value? (a) 2 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -14.18, 2, -4\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(-5 + 5 - 7 + b).\nAnswer: -4*b + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-3*p**5 + p**5 + 3*p**5 + (2*p**4 + 0*p**4 - 3*p**4)*(10*p + 19*p - 110*p)).\nAnswer: 164*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -96, -139, -182, -225, -268?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/10*10\/(-3). Suppose -2*m + 10*r - x*r + 118 = 0, 3*m - 184 = 4*r. Is 32 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -1, 0, -80, -5 in descending order.\nAnswer: 25, 0, -1, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-19)\/6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 473, -3\/4, 0.5, 1, -22?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -8988400 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20961.\nAnswer: 3, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 115884509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 783 - 784.03. Which is the second smallest value? (a) 0 (b) 0.1 (c) x (d) 0.2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 125*n + 363. Let c be q(3). Let v(u) = -2*u - 20. What is v(c)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5 + 180*w**4 + 1632*w**3 + 384*w**2 - 25344*w - 52224 = 0. Calculate w.\nAnswer: -4, 4, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744965966?\nAnswer: 2, 719, 518057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -980 + 1002. Calculate the greatest common divisor of k and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/3 - 91*n**3\/3 + 2113*n**2\/3 - 615*n - 1350 = 0. Calculate n.\nAnswer: -1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 231826763 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 2*m - 188 + 5*m**2 + 2*m.\nAnswer: 5*m**2 - 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**5 - 376*i**4 - 5196*i**3 + 11504*i**2 - 5936*i = 0?\nAnswer: -14, 0, 1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 207349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -240*l**3*u + 32660606*l**3 + 54203*l*u**2 wrt u?\nAnswer: -240*l**3 + 108406*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1482\/17 - (-108850)\/132175.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(6)\/sqrt(2)) - (4 + sqrt(13) + sqrt(26)\/sqrt(2))) + (sqrt(117) - sqrt(117)*2*-2)**2 + 3.\nAnswer: -sqrt(13) + 2924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(28 + 48*h - 28)*(-2*h - 2*h + 0*h).\nAnswer: -192*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 5. Suppose u + m + 3*m = -l, -4*u - m = -20. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1085342 and 18542?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 172, 78, -232 in descending order.\nAnswer: 172, 78, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1)*(-4)\/(-12). Let i = -3.5 - -3.58. Let x = 0.32 + i. What is the closest to j in -2\/13, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let i be (-37)\/l - (-4)\/(-12). Solve -3*x = -2*u + 17, 5*x - 2*u = 3*x - i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - h - 20, -5*m + 35 = 3*h. Let g = 1.3 - 6.3. What is the nearest to 1 in -2\/11, g, m?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1114409, 1114407, 1114405, 1114403, 1114401, 1114399?\n\"Answer: -2*d + 1114411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 17 = -3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 385452 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 87.8634.\nAnswer: 351.4536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5 + 1 - d + 5*d. Let l(k) = k + 1. Let n(c) = -c - 3. Let w(b) = -2*l(b) + n(b). Let f(o) = -4*a(o) - 5*w(o). Calculate f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + k**3 - 3*k**3)*(k - 6*k + 4*k + 0*k - k + 5*k + (-4 + 3 - 1)*(0 - k + 0)).\nAnswer: -10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -7. Suppose a - 12 = p*a. Let h be (-2)\/a*8\/22. Is h bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k - 21. Let o(u) = 4*u - 21. Give -2*j(t) + 3*o(t).\nAnswer: 2*t - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 6. Let j(u) = 9*u - 22. Let b be j(6). Let i = b + r. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-71456)\/(-280))\/(-58))\/((-2)\/(-5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1532766m?\nAnswer: 153276.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 14*q + 16. Let p be b(-6). Suppose 3*s + 4*i = 104, 0*s - 4*i - 92 = -4*s. Calculate the greatest common factor of p and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22128481, -44256963, -66385445, -88513927, -110642409?\n\"Answer: -22128482*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3839041, -3839039, -3839037?\nAnswer: -3839035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.4, 0, 2, -52\/9, 2\/1379?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from kwwkm?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 184 = 2*u. Suppose u*c - 28*c = 0. Let k be (1 + c)*50\/10. Solve -18 = -k*n + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2199662094.\nAnswer: 2, 3, 7, 251, 208657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 103, 108, 125, 160, 219?\n\"Answer: r**3 - 2*r + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + -3)\/(0 + 1). Let z(j) = 2*j**3 + 2*j**2 + j - 4*j**3 + 3*j**3 + v + 0*j. Determine z(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d + 10 = 0. What is the third derivative of 6*w**3 - d*w**3 - 2*w**2 - 6*w**3 wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313013279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 21, 64, 119, 186?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*8\/12*3\/2. List the prime factors of 7\/(-42) + 4178\/x.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - -152. Let i = -494 - -1172. Let k = i + q. Round k to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 511662 (base 9) to base 5.\nAnswer: 34144302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 b when three letters picked without replacement from {g: 15, b: 5}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = -h, 590 = -5*h + 565. Suppose -94 = 11*d - 9*d. Let i = d + 94. What is the remainder when i is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-34)*w*w**(-13\/6))\/(w*w\/(w**(-7)*w)*w*w\/(w**(-12\/5)*w)) assuming w is positive.\nAnswer: w**(673\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 1 - 32*x**2 + 2 + 3*x - 7 + 17*x**2 to r + i*x + k*x**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 12. Let b = -56.61 - -51.6. Let d = b - f. Which is smaller: -0.1 or d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*v - 28*v + 214. Suppose -2*x - 2*p = 3*x - v, -3*x + 138 = -2*p. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**2\/5 - 92852*u\/5 + 12048048 = 0.\nAnswer: 668, 22545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59 - 77) + (-21 - (0 - 7)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 57 = -0. Let o(b) = b**2 + 14*b - 31. Let y be o(3). Suppose j + y = 7*i. What is the greatest common divisor of 44 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -47, -22, 3, -0.1916?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -5, 0, 10, 4, 74 in descending order.\nAnswer: 74, 10, 4, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 - -78. Suppose -l = p - 17. Solve y + 15 = p*n, 0 = -y - 2*y - n - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3876363?\nAnswer: 3, 143569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 8*w + 11. Give i(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 851598601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219*-11153.\nAnswer: 2442507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4197*j + 4190*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -e19 (base 16) in base 13?\nAnswer: -1848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*r + 68*r = 42. Suppose 0 = r*h - 5604 + 410. List the prime factors of h.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1068.\nAnswer: -320.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4426132 is divided by 459.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -540*-0.3\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - m = -5, 2*m = -0*m - 10. Suppose 17 - 1 = -2*c - 5*u, c - q*u = 22. Suppose 2*t + c*t = 68. Which is smaller: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2420, 4715, 7012, 9311, 11612, 13915, 16220?\n\"Answer: k**2 + 2292*k + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/2*(7 - (-68)\/(-12)). Suppose 5*f = 2*l + b, -4*f = -3*l + 8*l - 28. Let o(j) = 12*j**3 - 5*j**2 + 3*j + 2. What are the prime factors of o(f)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + 26 - 21\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5*m - 2850, -m + 3166 = 5*v + 286. List the prime factors of v.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**5 - 2*d**5 - 2*d**5 + (-5 + 1 + 2)*(d**5 - d**4 + d**4) + 22789*d**2 - 22785*d**2 + 0*d + 16 - 3*d**5 + d.\nAnswer: -2*d**5 + 4*d**2 + d + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -11*v**4\/24 - v**3\/2 + 2592*v**2. Let y(j) = -19*j**2. What is y(s(w))?\nAnswer: -2299*w**2 - 1254*w - 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002232 rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 699 + 253 = 4*u + 2*g, 0 = 2*u - 4*g - 456. List the prime factors of u.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) 0.5 (b) -0.01 (c) -0.26 (d) 0.3 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11710 is divided by 11414?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/2))**(-3\/31)\/(f**(2\/9)\/(f*f**(2\/23))))**46)**(-2) assuming f is positive.\nAnswer: f**(-23438\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114292.\nAnswer: 2, 28573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*u - 10 = 0, -2*m - 6 = -2*u - 2. Suppose -5*q - 6*k = -4*k - 8, -5*q + k - 4 = m. Solve -a + q*a - 4 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 21*a - 19*a, 0 = 2*s - a - 4 - 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2198865 is divided by 1630.\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(80)*2)\/((sqrt(160)\/(sqrt(8)*-1))\/sqrt(2)) + -1 + 3)**2.\nAnswer: -16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -1)\/(-1*2). Let l = 44 - 43. Suppose -j + l = -g. Solve j*c = 5 - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115755 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/27))**43\/((y*y\/y**(1\/15))\/y**39) assuming y is positive.\nAnswer: y**(4574\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 215 - 15)*(1 - 1 + 2*o)*(1 + 2 - 1) to n + t*o and give t.\nAnswer: -992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**2 + 7*w - 7. Let t(a) = -6*a**2 - 7*a + 6. Let i(u) = 5*b(u) + 6*t(u). Determine i(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - -3 - (663 - 593)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25453996 by -116.\nAnswer: -219431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4 - 6. Let d = k - -36. Suppose 0 = -3*r - 0*r + 27. What is the remainder when d is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-594)\/54)\/(-99)*-369.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1059624 divided by -9?\nAnswer: 117736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 125*h**2 - 293*h + 128. Give n(-60).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/10749 and -31\/225.\nAnswer: 806175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6025*y**4 + 4430?\nAnswer: -24100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8083193 + 8083207 + 4*u**2 + 5*u**2.\nAnswer: 9*u**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*-10*3\/(-18). Suppose 9 = 3*x - 0*x, 2*f = 2*x + 102. Suppose f = o*c - 3*c. Calculate the remainder when 134 is divided by c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28245920 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545419.\nAnswer: 7, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 2:36 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4560 is divided by 169?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.93 - 6.66. Let l = 3.2 + j. Let w = l - 0.47078. What is w rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 55\/20)*60\/(-50). Which is the biggest value? (a) -5 (b) 1\/6 (c) 1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j. Let v = 2 + -1. Let q be z(v). List the prime factors of 8 + (-3)\/(q\/6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -5*i - 2*x + 5*x, 5*x = 5*i - 160. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q**2 + 16*q + 41. What is p(-4)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 260 - 171. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -23247?\nAnswer: -23247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 18*a + 1. Give c(6).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 3*d + 2. Let m be n(-2). Let v be 6\/m + 456\/16. Calculate the highest common factor of 45 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -17. Is -2*(1 - (-639)\/u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182448362 - -254.678?\nAnswer: 182448616.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140084, 1122703, 3789812, 8983655, 17546476, 30320519?\nAnswer: 48148028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvvjxmh. What is prob of picking 1 h and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvhhv. Give prob of picking 1 t and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 5081 in ascending order.\nAnswer: 2, 3, 5081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1125 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bii when three letters picked without replacement from binncni.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.03 (b) -2\/71 (c) 0.5 (d) -484\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -6*g + 120. Solve -5*f + 2*f - g = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -50 + 74 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/12*5800\/150*-3\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21003301 + -10?\nAnswer: 21003231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-2))\/(2\/(-14)))\/(8800\/35200)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2021? (a) -0.03 (b) 1\/16 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 4845?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 503024672 by 31439042.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -93*z - 1212. What is q(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35421011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76174 is divided by 243.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 2*a**2 + 4*a. Let w be j(-4). Suppose -w = -8*x + 8. Solve x*l + 5*v = -19, 0 = -3*l - 0*v - v - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*q + 2*q. Let m be ((-3)\/2)\/(q\/(-160)). Let w be 2*(9\/m)\/3. Which is the third smallest value? (a) 0.4 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 11*f - 41. Let r be o(6). Let d = r - 131. What is the second derivative of 51*j - 15*j**2 + 35*j**2 - 14*j**d wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*1*14\/(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167824 is divided by 9295?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/6)\/((-30)\/(-27)*(-24)\/1880). What is the greatest common divisor of 19035 and z?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 g, and 2 q when four letters picked without replacement from uquugguuquqgqgqu?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 14 (b) -5 (c) -49.4 (d) 31 (e) -0.3 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -863 = 12*i + 469. Let c = i - 27. Let z = c + 333. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 7. Let x be j(-5). Let s = 68 + x. Suppose -s = 2*v - 3*b - 372, 0 = -2*v - 5*b + 283. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 5, 0.051, 148?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 + 324\/45)\/((-4)\/359930) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/9 (b) -2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.898 <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*j = -5, -36*b + 33*b + 17 = 4*j. Suppose -x - 5 = 2*q, -3*x - 5*q + b - 14 = 0. Solve 3*k = y - 4*y + 3, x = -3*y - k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2346, 5834, 9300, 12738, 16142, 19506?\n\"Answer: -n**3 - 5*n**2 + 3510*n - 1158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 i when three letters picked without replacement from {y: 6, o: 1, i: 1, k: 1, d: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((8 - -5) + 22 + 1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*l - 1011 + 864 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3\/2 (b) 260 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/287 + -15776\/861. What is the common denominator of h and 109\/(-21) + (-2)\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9\/4 + 7\/4. Which is the closest to 2\/9? (a) p (b) -23 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + (sqrt(99) + sqrt(99) + 0)**2 + sqrt(99))*-3 + ((sqrt(99) + 0 + 0)*3)**2.\nAnswer: -296 - 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**3\/6 - 2*s + 20. Let l(r) = -2*r. Give 3*l(t) + 5*y(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-134)\/(-67) + 1 + 1. Find w such that 1\/2*w - w**k + 7\/4*w**2 - 5\/4*w**3 + 0 = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98040*p**2 + 31409*p**2 - 5220*p + 32547*p**2 + 26108*p**2 wrt p?\nAnswer: -15952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*d**2 - 63*d**2 + 50*d**2 - 63*d**2 + 2*d.\nAnswer: -461*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szssssssszssssszss. What is prob of sequence zzs?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 8*a**2 - 2*a + 12. Let h(t) = 7*t**3 - 3. Let f(v) = 3*v**3 - 1. Let d(m) = 5*f(m) - 2*h(m). Let i be d(-2). List the prime factors of w(i).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0*n**6 + 0*n**3 + 1\/105*n**7 + 0*n**4 + 0*n**2 + 8*n - 1\/50*n**5 + 0. Factor x(d).\nAnswer: 2*d**3*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 32. Let o(a) = -5*a - 193. Let w(k) = o(k) - 6*v(k). Let t(s) = 3*s + 1. What is t(l) - 4*w(l)?\nAnswer: -l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/6 + 45929*v**2\/6 - 642124*v + 13478430.\nAnswer: -(v - 45845)*(v - 42)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107109898953 - -192.\nAnswer: -107109898761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 7*r - 1. Let l be a(6). Suppose -21 = -l*f + 4. Calculate the greatest common divisor of f and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 895077.2ng to micrograms.\nAnswer: 895.0772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5954 - -6009.26. Let y = v + -56. Round y to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.2, 16, -199?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3 - 5*p + 7*p + p**2 - 18*p - 8*p + 20. Determine f(22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/5 + 616*f**3\/5 - 3042*f**2\/5 - 7936*f\/5 - 4277\/5 = 0 for f.\nAnswer: -1, 7, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(14\/(-3)))\/((-8)\/(-28)*-15). Let l(k) be the second derivative of 0 + o*k**5 + 3\/2*k**2 + 5\/6*k**3 + 9*k - 1\/2*k**4. What is l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 16. Suppose -10*h + 6*h + 32 = 0. What is the remainder when 70 is divided by a(h)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a9b30 (base 12) to base 8\nAnswer: -11314424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2.8. Suppose 0 = 4*f - 3*f + 5. Let x = -131\/280 - -12\/35. Which is the second smallest value? (a) f (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, b: 1, g: 7, z: 5, o: 5}. Give prob of picking 2 g, 1 z, and 1 i.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z + 4 = 32*z. Suppose -24 = z*f - 5*f. Is (3134\/10)\/(f\/40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a day?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -14. Let p be (-4)\/o + 4\/(-12). Let f(q) = -24*q + 1. Let g be f(p). Solve -3*a = 2*a + g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*l**2*m*s**2 + 269*l**2*m - 4*l**2*s**3 + 4*l*s**3 + 18*m*s - 75*s**3 wrt l.\nAnswer: -12*m*s**2 + 538*m - 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Suppose -1412 = j*c - 4*q, -5*c - 5*q - 3544 = -q. Let k = 443 - c. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*s + 265, 0*s = -2*v + 3*s + 116. Let o = -43 + v. Suppose 0 = 3*f + o, 0 = -7*w + 3*w - 5*f + 28. Solve 0 = 5*q + 2*a, -4 = -q - 2*a - w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1131 + -584. List the prime factors of z.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(24)\/(-3*sqrt(12))*4.\nAnswer: -16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (64\/24)\/(-1 + (-15)\/(-9)). Let z(a) = 6*a**3 - 5*a**2 + 13*a - 10. Calculate the remainder when z(n) is divided by 88.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1047808?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 182505899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952488 at most as big as 1952487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 5969.\nAnswer: -5969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412140413 (base 5) to base 3.\nAnswer: 10011020020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-5 + 1 + 10*p + 6).\nAnswer: -10*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 5961*s**5\/20 + 85*s**4\/2 + 3*s**2\/2 - 9370*s. Find the third derivative of v(o) wrt o.\nAnswer: 35766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/2 - 29125*u**4\/2 + 212022715*u**3\/2 + 636242905*u**2\/2 + 318150580*u + 106055048.\nAnswer: (u - 14564)**2*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(170) - (sqrt(170) - -2*sqrt(170))) + sqrt(170))*-1)\/((sqrt(10) + sqrt(1210)*-2)*-4).\nAnswer: -sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 7 - 6*p**4 - 25*p**2 + 24*p**2 - 6 to the form x*p**4 + f*p**2 + m + o*p**3 + n*p and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 18017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**3 + 27*d**2\/2 + 52. What is the tens digit of w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -990?\nAnswer: -1\/990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2363*d**5 + 8801*d?\nAnswer: 47260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1816196 from -2.\nAnswer: -1816198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1064*m - 4716 = 500*m + 624*m - 1716 for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/308*70\/(-225)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/20*(-9585)\/11502.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 not equal to -1909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 36*b = -38*b + 10430, 3*l + b - 15655 = 0. Calculate the smallest common multiple of l and 10.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*q = -79*q - 68. Suppose -2*c + 3*a - 3 = 20, 2*c - q*a = -28. Suppose 0 = -4*s - 18 - 30. Sort s, c, 1, 5 in ascending order.\nAnswer: s, c, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*b - 3055 + 3055 + 2*b - 5*b + 2*b + 4*b - 5*b - b + (1 + 1 - 1)*(-1 - b + 1).\nAnswer: -55*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2382*j - 2378*j + 5*p = 2, 2 = 2*j + 3*p. Let y(a) = a**2 - 1. Let s(d) = 3*d + 2. Determine j*y(t) - s(t).\nAnswer: -2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217\/3 + -443\/6. What is the third biggest value in -0.1, -3, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - 8. Let i be m(0). Let g = 13 + i. Let t(h) = 0 - g + 5 + 2*h**2. Let v(b) = 16*b**2. Calculate v(t(j)).\nAnswer: 64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8059 divided by 1091.\nAnswer: -8059\/1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from {o: 1, h: 1, g: 2, y: 2, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3 - -2) - -1 - (-4 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from {m: 18, n: 2}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 555612.5 decades in millennia?\nAnswer: 5556.125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2. Let v(l) = -85*l. Calculate o(v(w)).\nAnswer: 14450*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -26\/5 (c) -1\/4 (d) -4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1+804834397.5\nAnswer: 804834398.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h**3 + 4*h**3 + h**3.\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.338487 millennia in months?\nAnswer: 112061.844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, z: 1, j: 3, e: 1}. What is prob of sequence ze?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -1939295.\nAnswer: 1939295.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - 0.46?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1003 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4115973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*t + 24 - 24 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c**2 + 109*c + 2140?\nAnswer: 6*c + 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526586, -526581, -526576, -526571, -526566, -526561?\nAnswer: -526556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6*(160\/870)\/(-16)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2462 (b) 2 (c) -4 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 29*i**2 + i - 1. Calculate q(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9124.611l in millilitres?\nAnswer: 9124611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*l - 4815 = 2424, -l = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600 and 564396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 25 - 22. Suppose 0 = a - 48 - p. Calculate the smallest common multiple of 63 and a.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.0768758 + -1.0699. What is a rounded to 5 dps?\nAnswer: 0.00698","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, l: 3, y: 1, z: 1, n: 5}. What is prob of sequence yznl?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 39. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**2 + 1. Calculate u(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-36))\/((-18)\/(-81))*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6127\/2228)\/(13\/(-4) + 1 + 2). Let j(n) = n + 2. Let a(t) = 2 - 7 - 6*t - 6. Calculate o*j(f) - 2*a(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.09 - -6. Let p = 0.91 - w. Which is the nearest to 1? (a) p (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 12. What is the derivative of -49*n**3 + 3*n + 4 - v*n + 43*n**3 wrt n?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 - 99034.8.\nAnswer: -98933.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v = 4*k - 25, -3*v - 95 = -2*k. Let d = v + 40. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from {x: 1, m: 2, y: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-70.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 17714 = 5*g + 12208, 6 = 3*g. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771573 (base 9) in base 4?\nAnswer: 1300122312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331 - 262 + 593 - 3*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39155 and 943?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-12 + 9 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 37 = 9*h - 7, 0 = 4*h - 3*p - 81 + 53 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 6. Let t be x(8). Let w(y) = 6*y - y + y - 7 + 2*y**t - y**2. Calculate w(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 968.6 - 969. What is the fourth smallest value in 1, 1.4, t, 0.1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 0*q - 7*q**2 + 0*q**5 + 5\/3*q**3 - 1\/60*q**6 + 0 + 0*q**4. What is the first derivative of t(u) wrt u?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmgmmmmmzgz. Give prob of picking 1 m, 2 z, and 1 g.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*p**6 - 6*p**4 + 4935*p**3 - 1994*p**2 + 2*p - 8 wrt p.\nAnswer: 1680*p**3 - 144*p + 29610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 1:18 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n = -30*n + 2140. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 1872849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718*b + 104 + 704*b - 107.\nAnswer: -14*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(3 - 1 - (2 + -4)). Suppose 0 = -u - 2*h + 118, -u + h = -t - 95. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 177 - 154*r**2 + 160*r**2 + 184.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -89, -4, 3\/7, -31, -0.02, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 2*o + 9 - 1\/40*o**5 + 1\/60*o**6 - 1\/24*o**4 + 1\/84*o**7 + 0*o**2 + 0*o**3. Let f(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*x + 4, 0 = -5*x - 3*q + 2*q - 4. Suppose 2*y = -x + 24. What is the remainder when y is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v. Suppose 0 = 4*p + 6*j - 3*j + 3, 3*p = -j + 4. Suppose -u = p*u - 8. Let a(l) = 2*l**2 + l - l**u - l. Determine k(a(t)).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d03 - -2?\nAnswer: 6d05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 65*y**3 - 2*y**2 + 3*y - 2. Suppose 17 = 5*r + 12. Suppose 9*a + r = 10*a. What is the tens digit of v(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05284017 times 4\nAnswer: 0.21136068","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a - 142. What is the remainder when a is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 4:56 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*(-1 - -3)\/2. Let i(p) = -p**3 - 10*p - 7 + 0*p**2 - n*p**2 + 0*p**2. List the prime factors of i(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -119.035 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 38*x - 240. Calculate s(35).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 1. Let m(r) = r**2 + 6*r + 6. Let w(j) = 5*m(j) - 30*q(j). Let t(h) = 3*h. Calculate t(w(b)).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 9:22 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*5519829.\nAnswer: -16559487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*c**5 - 21*c**4 - 30*c**3 + 30*c**2 + 21*c - 9 = 0. Calculate c.\nAnswer: -1, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 v when four letters picked without replacement from {v: 2, h: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4\/7 - 1280*q**3\/7 + 74874*q**2\/7 - 71044*q\/7 - 147200\/7 = 0.\nAnswer: -1, 2, 64, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + f - 4*f)*((-5 + 1 + 2)*(2*f - 5*f + 2*f) - 73 - 61*f + 73).\nAnswer: -118*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + -152518367?\nAnswer: -152518381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-130 - -117 - -56) + -98\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 7:01 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {s: 5, t: 1, i: 4, w: 1, m: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (6\/(-57) + ((-2112)\/152 - -2))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 1725362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38433 + -505?\nAnswer: -38938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 12 - 7*d - 1\/2*d**2. Determine l(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*p + 13. Solve 3*c = 3, 0*c - 2*c = p*s - 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39183 at most -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.37 rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*y**3 + 5 - 4.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 3:20 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 q, and 1 w when three letters picked without replacement from {w: 4, e: 3, b: 2, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 532 + -461. Suppose 5*r = 81 - l. Solve 8 = 2*j - r*s, 7 = -j + 2*j - 4*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - (22\/(-2) + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29898 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 257.7 to the nearest integer.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 28. Let v be y(0). Let q(g) = -28*g + v*g + 1 + 15*g**2. Suppose -3*u + 2*u + 21 = 4*i, -3*u + 23 = 4*i. Calculate q(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -8 - (-9 - -1) - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 0*f**2 - 2*f**2)*(-3 + 4 + 7).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - -66. Suppose 4*n + 2*d = 3*d + 164, n - 4*d - 26 = b. What is the greatest common divisor of n and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -211779\/404 or -525?\nAnswer: -211779\/404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15871181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -30, -46, -62, -78, -94?\n\"Answer: -16*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 5*y + 5, -3 = -4*w - 3*y. Suppose x = -3*x. Solve x = -k - 1 - w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 251747 - 13797*x - 5604*x**2 - 251747 wrt x.\nAnswer: -11208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 3*o - 80, 633*u - o = 634*u - 21 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 39364416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4552 (base 10) to base 2\nAnswer: 1000111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4888 = 26*p + 41*p - 6161 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50\/143 - -147\/286. Find the common denominator of 4\/28 + 663\/(-84) + -7 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*7 - 968924\/(-44042).\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18271*r**5 + 128866*r wrt r.\nAnswer: 365420*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638379 is divided by 33590?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7346726*a**3*y + a**3 - 21563*a**2 + 68 wrt y.\nAnswer: -7346726*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 8*j**2 - 14*j + 93419. Is s(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 101 = 7*h - 4*h, -2*q = -5*h - 200. Let x(j) be the second derivative of -119*j**3\/6 + 21*j**2 + 2*j. Let g(w) = -14*w + 5. Give h*g(o) + 5*x(o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -280403680*m**3 + 139856923*m**2?\nAnswer: -1682422080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3 + 0 - m - 4*m. Let a be j(3). Let x be (-4)\/a - 1\/(-9). Is 2\/5 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2856280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t + 277 = 241 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.885529 millimeters?\nAnswer: 0.000000885529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, -10, 5304, 47.\nAnswer: -24, -10, -4, 47, 5304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1038 - -323. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3909600 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -39135736 plus 0.6?\nAnswer: -39135735.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4. Let s(g) = -g - 3. Let l = 584 - 587. Give l*s(v) - 2*z(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-237)\/((-238896)\/(-18228)) - 1\/(-12)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 9 = 3*g. Let r(v) = -13*v - 6. Suppose 5*s - 10 = -3*u, -4*s - u = -17 + 2. What is the lowest common multiple of s and r(g)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24167.5 - 24168. Let x be (9 + -11)*3\/(-8). Which is the closest to 3\/124? (a) -3\/5 (b) x (c) -4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 6*k**3 - 4*k**2)*(-4*k - k + 2 + 3*k - 3 + 3 - k - 2*k + 3*k - 2*k + (1 - 3 + 1)*(-2*k - 2*k + 6*k) - k + 3*k - 4*k).\nAnswer: 48*k**4 - 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.11084\nAnswer: -0.22168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52749599 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2129*f**2 - f + 4301 wrt f?\nAnswer: 4258*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d + 13. Let k be m(3). Suppose 5*y - 5*t - 108 - 47 = 0, k*y - 3*t - 125 = 0. Calculate the highest common divisor of 352 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4327602 divided by 1442534?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/20 and 4 + (-1339)\/318 + (-4)\/6.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/120645712 and 31\/120645712.\nAnswer: 120645712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 1300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 4)*(-2 - 2*i + 2) + (32 + 196 - 6)*(-6*i - 2 + 5*i + 2*i).\nAnswer: 216*i - 444","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 c, and 1 k when three letters picked without replacement from {k: 1, x: 1, j: 1, c: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8992 equal to 8993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -66938+0.63\nAnswer: -66937.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-78)\/4))\/((-5)\/(-3)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 215 (b) -4 (c) 2\/17 (d) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -7.3. Let x = p + 3.3. Which is the biggest value? (a) 10 (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**5 + 0*n**5 - 3*n**5. Let d = -10 + 6. Let i(l) = 3*l**5 + 4*l**2. Let k(h) = d*c(h) - i(h). What is the third derivative of k(p) wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24320.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 171154482 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6249140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000035975712 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*b**3 - 179*b**3 + 494*b**3.\nAnswer: 971*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 79*y - 1405. What is x(-37)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 6833804 - 582*n**3 - 6833804.\nAnswer: -582*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6893.52 rounded to the nearest 100?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 + 532.323.\nAnswer: 533.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + n + 2. Suppose f + 90 = 6*f. Suppose n*c + 2*a - f = 0, -4*c - 5*a = -3*a - 42. What is the smallest common multiple of 8 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/728448 and -62\/63.\nAnswer: 2185344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:37 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkakadfkkw. What is prob of picking 2 a?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**4 + 5*j**3 - 5*j**3 + (2*j**4 - j**3 + j**3)*(1 + 5 - 3) as i*j**2 + r*j**4 + g + v*j**3 + k*j and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 12*x + 102. Let b be 24\/18 + (-4)\/x. Solve 4 = -3*y - b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84927 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*1 + (294 - -1344). Calculate the highest common divisor of 265 and l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4, 3*b - 9 = 2*o + 2. Let m(v) = -v - 5. Let g be m(-5). What is the units digit of 47 + b + g\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-4 + 3) - 0. Let o be 3*q + 138\/(-42). Which is the second biggest value? (a) 4 (b) o (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6244*s + 456. What is the units digit of c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2138, 4302, 6466, 8630, 10794?\nAnswer: 12958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*v + 19. Which is the closest to -0.1? (a) 0.3 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3531 is divided by 186?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169047 divided by 10.\nAnswer: -169047\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3\/5029 (c) 2\/7 (d) -0.5 (e) 1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1580 + 113759\/72. What is the common denominator of p and 1\/6*(-129)\/(-4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 0 + 0*t + 13\/24*t**4 + 21*t**2 + 1\/60*t**5 + 8*t**3. Let c be m(-11). Solve 3*g + 11 = c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8411, 2\/7, -1\/3, 21?\nAnswer: 8411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + 16.99. Let d = m - -14. Let l = 23 - d. Sort -3, -1, l in increasing order.\nAnswer: l, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 3*y**2 + 11*y - 23. Let t be p(7). Suppose -22*m + t = 214. Solve -6*v + m = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 2*b - 107 + 52.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-1 - (-1)\/(-1 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -7823?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5742.002107 - -5742. Round c to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 0 + 2*i + 0 - i. Let t(p) = 2*p**2 - 5*p. Let n be ((-2)\/(-3))\/(46\/69). What is n*t(a) + 2*r(a)?\nAnswer: 2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7450.191 litres to millilitres.\nAnswer: 7450191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144.1 - -12.9. Let a = l + -156. Put 0.14, a, 0.3 in descending order.\nAnswer: a, 0.3, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**3 + 41 - 41 + 2*a**3 - a**3 - 2*a**3 + (-2 + a**2 + 2)*(-3*a + 0*a + a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560430 divided by 312086?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y. Suppose -3*m + 0*k - k + 3 = y, 0 = 4*m - 5*k + 15. Solve -h - 3 = 2*n - n, m = 2*n + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718146261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 + 121.2. Let r = 171 + -96. Let x = 226\/3 - r. What is the closest to -1 in x, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -7*r + 29*y + 126162, 0 = 3*r - 4*y + 377758. Round r to the nearest 1000.\nAnswer: -126000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 5 - -2) + 2 + -16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*u - 2\/9*u**3 + 0 + 4\/9*u**2.\nAnswer: -2*u*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -66339*s - 66341. Calculate m(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1650 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12245089?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40379951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 7 - 16. Let k be o - ((-36)\/(-4))\/(-3). Solve -3*z + 6 = z - 3*q, z - q - k = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1335598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*l - 1 - 3, -5*i = 0. Let z(p) = -p + 6 - 3 - l + 2*p**2 + 1. Let w be z(1). Let y(j) = -j**2 + 4*j - 4. What is y(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18123114 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**3 + 74*a**2 - 72*a - 2. Give i(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74383889 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 3*j. Let u be (-198)\/162 + (-4)\/(-18). Let n = -0.29 - -0.49. Which is the closest to n? (a) j (b) -2\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -157\/144 + 21\/16. Let z = 30 - 13. Suppose -5*f - z = 3*i, f = -5*i + 6*f + 25. Sort i, v, 2 in ascending order.\nAnswer: v, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.75 + -13.81656. What is j rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(sqrt(2) + 1) - ((sqrt(8)\/sqrt(4)*-6)**2 - sqrt(2))).\nAnswer: -5*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.176 + 0.117. Let p = -0.058958 - r. Round p to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 9. Let f(h) = h - 2. Let x(p) = -2*b(p) + 9*f(p). Let m(r) be the third derivative of 5*r**4\/24 - 192*r**2. Give m(x(j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z + 6. Let o(f) = -f. Let m(s) = -g(s) - 4*o(s). Let i(d) = 2*d + 4. Determine 7*i(p) + 5*m(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -272.7 and -44901569.\nAnswer: -44901841.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 4*q**2 - 7*q + 4. Determine j(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.2. Let o be (2\/15)\/(((-1)\/9)\/((-143)\/429)). Sort o, 2\/11, l, 1\/6 in descending order.\nAnswer: o, 2\/11, 1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -222, -4\/7, -1, 30, 3 in decreasing order.\nAnswer: 30, 3, -4\/7, -1, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*b = -6 - 8, -1 = -4*k - b. Calculate the lowest common multiple of k and 1*-1*(1 - 10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6429*f - 6582*f + 3.\nAnswer: -13011*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 305 and 13908?\nAnswer: 69540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 18*l**3 + 11*l**2 - 20*l - 37. Let y be h(-3). What is the third biggest value in -0.5, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 17*n + 336 = 0. Calculate the remainder when 223 is divided by n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45827 at most as big as -45829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 178*k - 184*k + 4600326. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -219375 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 12:49 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000410247 to seven decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 5 + (6 - 2) - 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 45*h**2 - 329*h - 26. Let k(v) = -316*v**2 + 2302*v + 180. Let l(b) = -44*f(b) - 6*k(b). Factor l(u).\nAnswer: -4*(u - 8)*(21*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3940, 7881, 11822, 15763?\n\"Answer: 3941*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2233*r**3 - 6976*r**3 + 10 - 8 + 87320*r**3.\nAnswer: 78111*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2599.\nAnswer: 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*f + 44\/9*f**2 + 16\/9*f**3 + 2\/9*f**4 + 2.\nAnswer: 2*(f + 1)**2*(f + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -4*o**6\/15 + 3*o**5\/20 + 5*o**4\/3 + o**3 + 43*o**2\/2 - 1230*o. What is the second derivative of b(f) wrt f?\nAnswer: -96*f**2 + 18*f + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 740876 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v + 26. Determine r(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 47603090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*n + 5, 3*h + 2*h = -n + 25. Suppose n*f = -36 + 146. What is the smallest common multiple of f and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - -20. Let r = k + -90. Let z be ((-60)\/r)\/((-1)\/3). Let c(i) = -i**2 - 8*i + 2. Determine c(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 5*h + 4. Let w be t(-6). Let b(a) = -4*a**2 - 15*a - 27. Let u(m) = m**2 + 4*m + 7. Let s(i) = w*b(i) - 9*u(i). Factor s(p).\nAnswer: -(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jeg when three letters picked without replacement from {g: 3, p: 1, a: 2, j: 1, v: 2, e: 6}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r = 39*r - 3560. Let u = 356 - r. Let j = -609586\/287 - -2124. Which is greater: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3960 and -103\/354?\nAnswer: 233640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -10*x + 15*x - 61, -3*x - 14 + 53 = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-2))\/((-8)\/(-4)). Let m be ((-28)\/8 - x)*-2. Suppose m*a - 22 = 198. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77502763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2320.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 12. Let o be g(8). Suppose 3*u + 3 = -o*r + 8, 0 = -5*u - r - 20. Sort u, 1, -4.\nAnswer: u, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42245065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29561*a - 29560*a + v = 39, a - 183 = -5*v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - 0)*(-8)\/10. Suppose c = -f*q + 64, 2*c + 24 - 2 = 2*q. What is the highest common divisor of 30 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9444.\nAnswer: 2, 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 != 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 0 - (-6 - -7) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45, -95, -149, -207, -269, -335?\n\"Answer: -2*q**2 - 44*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367103620.\nAnswer: 2, 5, 13, 1411937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 186006071?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -149, -145?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 + 10*y**2 + 12*y + 4. Let s be c(-4). Let x be s\/20 - 9\/(-15). Solve -z + x = -2, -h + 2*z - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61226109.715 + 2475.\nAnswer: 61228584.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21853 and 104838927.\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.69 + -17862?\nAnswer: -17811.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6)*(2*h + 14 - 14) - 2 + 3*h - 4*h + 0*h.\nAnswer: -5*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - 8. Let t(v) = -3*v + 28581 - 28581. Calculate t(q(a)).\nAnswer: -6*a**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 5165182.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 461812?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5599251 divided by 3843.\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivv when three letters picked without replacement from vinvihvnhxhvhi.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620 + 70 = 18*h + 294. What is the smallest common multiple of h and 692?\nAnswer: 7612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + 9. Let n = 680 + -476. What is the highest common divisor of d and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.9 (b) 4\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 bigger than -590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + 43*k**2 - 50*k**2 - 3*k**3.\nAnswer: -3*k**3 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzzuuxzcckuc. What is prob of sequence ux?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - (-459)\/15)*15\/2. What is the highest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.03 and 9785.\nAnswer: 9784.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1460532\/5 + -292106. Solve 0 + k*t**3 + 128\/5*t + 32\/5*t**2 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**5 - 3*z**2 - 8*z. Let u(f) = -f**5 + f**2 + f. Let t(i) = a(i) + 3*u(i). What is the second derivative of t(c) wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 4*n - 5*n - 16, 3*n = 2*a - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 20*g - 46. Let m be o(5). Let b = 144\/5 - m. Let i be (-21)\/6 - (-3 + 1). What is the closest to -1\/3 in 4\/5, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/7)\/(y\/y**(-2))*y\/y**(1\/3)*y**(3\/2) assuming y is positive.\nAnswer: y**(-47\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3354, 3867, 4386, 4911, 5442?\n\"Answer: 3*r**2 + 504*r + 2847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from ggkkknzzznz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2921 + -1133. Let n = 2807 - o. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.3, -3\/2, -1, -0.069, 877?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 1075*q**3 + 1076*q**3 - 6 + q**2 + 2*q. Calculate d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379163 is divided by 54.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369260463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80\/15*15\/2 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 9 (b) 6 (c) -1\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(9\/(-50))*1\/((296\/(-333))\/8)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2486189 divided by 4\nAnswer: -2486189\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, m: 4, a: 3, w: 2, i: 2, n: 4}. What is prob of picking 3 u and 1 a?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -781457 (base 15) to base 14\nAnswer: -a90514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85302 - 85251.701. What is q rounded to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036428 less than -68.8?\nAnswer: -68.836428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 7641.\nAnswer: 7643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 7 (c) -2\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10280677 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 2 + -1 + -2. Let r be j\/(-2) - (-4 - 1). Solve r*f - 5*y + 35 = 0, 3*f - 2*y = 2*y - 26 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3 - 13 - -2. Let i = 34 + o. Let d = i - 3. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -2)\/3*(-2 - 1). Is 17 a factor of (-490)\/(-30) + f\/(3\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 1. Let z be w(-5). Suppose -42 = z*m + 6. Let v = 17 + m. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2494, -2374, -2254?\nAnswer: -2134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 52.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = y - 4, -194*y = -196*y - t - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 486 - 481. Sort 1, 0.2, l in increasing order.\nAnswer: 0.2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 3. Let o(d) be the first derivative of 4*d + 3\/2*d**2 - 1\/3*d**3 + 11. Let z be o(-2). Calculate n(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l = -116. Calculate the remainder when l is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17 - 103.8101.\nAnswer: -103.9801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 (base 5) in base 8?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4561040*b*r**3 - 95743*b*r - b - 7*r**4 + r - 8 wrt r?\nAnswer: -27366240*b*r - 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**4\/11 + 3819*v**3\/11 - 11438*v**2\/11 - 38160*v\/11 = 0.\nAnswer: -2, 0, 5, 3816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1986 by 159537.\nAnswer: 662\/53179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 907?\nAnswer: 2721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, g: 1, f: 2, k: 1}. Give prob of sequence gffk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, z: 8, k: 4}. Give prob of picking 2 z and 2 k.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**5 - 1. Let z(f) = -11*f**5 + 3*f + 3. Let w(g) = -3*t(g) - z(g). What is the second derivative of w(m) wrt m?\nAnswer: 160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 2, -54, -3 in descending order.\nAnswer: 3, 2, 1, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-9) + 1\/1. Let a be ((-4)\/(-5))\/(((-1242)\/115)\/(-27)). Sort 1\/11, v, 3\/5, a in decreasing order.\nAnswer: a, 3\/5, 1\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -67, -5, 2 in ascending order.\nAnswer: -67, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (92*(-33)\/(-12144))\/((-10)\/(-2400))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*y. Suppose l = 4 - y. Solve -20 = -l*q + 2*z + 2*z, -q - 5*z = 13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*j - 1. Let y = -2 - -11. Let u = y + j. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 3*b + 4. Calculate p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.928 rounded to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 4752*u - 4756.\nAnswer: 4*(u - 1189)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**4\/24 + q**3\/3 - q**2 + 45*q. Determine z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/8096572?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 1 - 1)*(-f - 2*f + 0*f)*(0 + 6 - 1).\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 15*v**2 + 10*v - 10. Let t be n(-16). Let p(o) = 20*o - 56. Let s be p(7). Let a = t - s. Solve 4*k + a = 2*k + 2*x, 4*k + x = 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1293*x + 360*x = -657*x - 4140 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q = 2. Let b(d) = -d**2 + 7*d + 17. Let s be b(8). Solve -q*p - s = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15364.3878 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - q, d + 5 = 4*q + 30. Suppose 5*f + 6 - 21 = 0. Suppose -t + 3 = -5*l, 3 = f*l - 0*l + t. Solve l*n = -d*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, -2\/25, -0.1, -3\/8, -33?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 1\/(6 + 63\/(-12)). Which is the closest to n? (a) 4 (b) -0.1 (c) 2\/9 (d) -30\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -356 + 358. Suppose -f*l = -3*j + 26, -18*j + 21*j - l = 31. What is the remainder when 106 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:28 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.37, -265, -7, -149?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*c**3 - 466*c**3 - 496*c**3.\nAnswer: -1117*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/8 of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -1139384.\nAnswer: 9\/1139384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18508767 and 8280.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71055138461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-30) - (2 - 1 - 0).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 56. Let k be 82\/(-6) + (-1)\/3. Let n(y) = -54*y**2 + 6*y. Let w(l) = -11*l**2 + l. Let o(b) = c*n(b) + k*w(b). Factor o(i).\nAnswer: -4*i*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y**2 - y**2 + 0*y**2 - 6*y**2 - 6 to h + k*y + b*y**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 516870?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 10 = 3*r. Let p = -3 + r. Solve 0 = 4*z - 4*u + 8, p = -z - 3*u - 2*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*b - 6*b + 5*u + 969 - 984, 2*b + 14 = 6*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130230605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-436.\nAnswer: 2180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15044?\nAnswer: 2, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4151657 to the nearest integer?\nAnswer: 2038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 175, 1\/2, 5, 0, 5\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + 400.535.\nAnswer: 401.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - t**2 - 2*t - 1. Let c = 33 - 28. Let b(s) = -c*s + 2*s**2 - s**3 + 0 + 2*s + 6*s + 2. Let l(r) = 4*b(r) + 5*n(r). Give l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2289.51 - -51064399?\nAnswer: 51062109.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2. Let l(q) = -13 + 9 - 2*q + 4. What is l(u(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 8:00 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4844874 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1330324?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805 is divided by 244.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 6*l**2 + 7*l + 50. Calculate o(-7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 11. Let w be (4\/8)\/((-3)\/g). Is -1\/4 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 - -14.4. Let a = x + -11.6. Sort -4, -2\/5, 3, a in decreasing order.\nAnswer: 3, a, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33132 (base 4) to base 2\nAnswer: 1111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3841 - 2*u + 3841.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 24611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(-p - p + 0*p)*(8*p**3 + 17*p**2 - 19*p**2 + p**3).\nAnswer: -36*p**4 + 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {t: 9, q: 7}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.243 and -2?\nAnswer: 0.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 21495.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**3 - 2*y**2 - 3*y + 3. Let j be t(2). Find the common denominator of -2*14*(-9)\/(-2646)*(1 + 86) and (0 - 0) + j\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, d: 4, b: 2}. Give prob of sequence zb.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/2 + -1)*6. Let b be ((-17)\/4 - -5) + (-3)\/4. Suppose 4*j - 5*r + 13 = 0, -16 = -j - 5*r + 12. Solve -j*p + b*p = l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2271\/63)\/(4\/36). Let z = -325 + j. Let u = -6.4 + 6. Which is the nearest to -1? (a) u (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*d - 64, 0*m + 44 = -2*m - 2*d. Let c(j) = -10*j - 121. Calculate the remainder when 273 is divided by c(m).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) 0.1 (d) -2689707\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 6*s + 7. Let r be l(5). Let b be (28\/49)\/(r\/7). Suppose -b*p + 254 = -28. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -266 - -3?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -4, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/62 or 96\/625?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 154 = -3*j + f, -3*j = f - 157. Calculate the remainder when 64 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210278.\nAnswer: 2, 47, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -11, 0, 7, 1 in decreasing order.\nAnswer: 9, 7, 1, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34544517 less than -97437.87?\nAnswer: -34641954.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-575)\/(-3) + 1\/((-12)\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15458 >= -15403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2448 - 1536. What is the greatest common factor of 57 and j?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 135\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**4 + 0*j**4 + 0*j**4)*(7*j - 9*j - 21*j) + 2*j**4 - 4*j**5 - 2*j**4.\nAnswer: 134*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 51747340\nAnswer: -51747345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 42, 2, 5, -2, -1 in increasing order.\nAnswer: -2, -1, 2, 5, 18, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 5. Let i be l(0). Suppose 249 = -4*r + 265. Suppose g - 8 = 2*t - 3*g, r*t + 2*g - 14 = 0. Sort i, 11, t, 4 in descending order.\nAnswer: 11, i, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c = 996. Let q = 565 + c. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-6\/5))**36 assuming s is positive.\nAnswer: s**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-12)\/8)*(-17 - 1). Suppose -1150 = 7*j - f*j. Is j a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*h - 17245 + 925 = 0. List the prime factors of h.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21790 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 452 and 791.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2574255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31585 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 - 117 = 4*f + 3*s, 15 = -f + 2*s for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2. Suppose 4*l - 132 = -0*l. Let x(r) = -l*r**2 + 16*r**2 + 11*r**2. Give s(x(y)).\nAnswer: 144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**7\/420 + g**6\/240 - 14*g**2. Factor t(c).\nAnswer: -c**3*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 8 = 4*v - 4*c, 0 = -7*v + 26*v - c + 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -696.4 * -26.\nAnswer: 18106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 14*w + 11, -17909*b = -17913*b + 2*w + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 23, 1, 7, 4.\nAnswer: -1, 1, 4, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 165 = -4*b, 2*n + 5 = -3*n. Let x = 100 + b. Suppose x = 3*f - 5. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -193.2 from 1165444.\nAnswer: 1165637.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231110200 (base 4) to base 14.\nAnswer: 4b916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 times -0.497?\nAnswer: -0.17892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1118 - 0.2118. Do -10\/69 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*k**4 + 11195395*k**3 + 4177893774300*k**2 + 519700740264634000*k - 259851414607160000.\nAnswer: 5*(k + 373180)**3*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1477*z = -3*v + 1480*z + 6, -5*v + 6*z + 15 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2332794 and -149\/12.\nAnswer: 4665588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*f = 5107 - 1227 + 440 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*2\/(-4)*-3. Suppose 6*a - 4*i = a + 20, a = i + 4. Suppose 0 = r + 3*o, o - 48 = -t*r + a*o. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 39564684*p**2 - 130446939205584*p - 521788389857472.\nAnswer: -3*(p - 6594116)**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u + 22. List the prime factors of b(7).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133300591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -149626843?\nAnswer: 149626842.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2.08. Let u = -0.08 - d. Let h(a) = -a. Let g be h(-4). What is the closest to u in -0.1, g, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/5)\/((-28)\/(-70)). Let j = 29 - w. Let r = 179 - j. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 226 and 2147?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (17 - 0)*11\/(-77)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 857 = 70*r + 87 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -25, -16, -2, -4.\nAnswer: -25, -16, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.636586 hours to weeks.\nAnswer: 0.05140825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from {k: 1, t: 2, p: 1, n: 1, w: 2, d: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (10 + (-10 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7))\/(693\/441).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -264*z**5\/5 + z**2\/2 - 102*z + 280. What is the derivative of p(a) wrt a?\nAnswer: -1056*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -110182, -106348, -102514, -98680, -94846, -91012?\n\"Answer: 3834*l - 114016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*sqrt(4)*1)\/(4*(sqrt(96)\/sqrt(4))\/sqrt(12)).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 288. What is the greatest common factor of 36 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20120202202212 (base 3) in base 7?\nAnswer: -41512160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**6\/360 - p**5\/120 - p**4\/12 - 2*p**2. Let z(b) be the second derivative of k(b). Suppose i = -3*i + 4. Calculate z(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -51*j - 30. Let l be a(-10). Let f = l + -455. What is the remainder when f is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 469, 4.\nAnswer: 4, 5, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50068?\nAnswer: 2, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/25)\/r*r*r*(r**20\/r)\/r*(r*r**8\/r)\/((r\/r**(-28)*r)\/r) assuming r is positive.\nAnswer: r**(-52\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3951156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8*-4078.826\nAnswer: -32630.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 87, 219, 339, 453, 567, 687, 819, 969?\n\"Answer: i**3 - 12*i**2 + 161*i - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -269 - -270. Are r and -55\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1550 + -153. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1)**(-2\/45)*g**1\/g**6 assuming g is positive.\nAnswer: g**(-229\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -641 - -1418. Let m = -776 + z. Calculate the greatest common divisor of m and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -138*u + 7. Let v be p(-7). Let l = -10 - -13. Suppose -l*d + v = -500. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h + 3. Let l be k(-11). Let d = l + -45. What is the third derivative of 17*r**d - 16*r**4 - 32*r**2 + 2*r**4 wrt r?\nAnswer: -336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, c: 3}. What is prob of sequence ccc?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-172)\/(-40))\/(1\/(-2)) and 13\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4221\/5 + -843. Which is the fifth smallest value? (a) -2\/9 (b) 6\/13 (c) 3 (d) 4 (e) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3 = -v. Let u(x) = x**3 - 3*x**2 - x - 11. Let i be u(7). Let q be (3 + 39\/(-12))\/(i\/8). Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*q - 0*q + 250, 0 = -f - 2*q + 84. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5699623 and 49.976.\nAnswer: 5699672.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 0.49.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 42 = -3*q - 37, 1 = -p + 2*q. Is 1043 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*v + 4*v - 60, -4*u + 26 = 2*v. Let z be 2\/3*6\/4. Let g = z + 5. Calculate the remainder when v is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**3 + a**2 - a + 1. Let t be x(1). Let l = t + 5. Let h be (3 - 11)\/(l\/(-3)). Calculate the highest common factor of h and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 50*n - 1915. Let o(h) = h**2 - 70*h - 2873. Determine -7*m(x) + 5*o(x).\nAnswer: -2*x**2 - 960","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.8350626 rounded to one dp?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u**2 + 9*u**2 + 8*u**2)*(2*u + 19*u**2 + 55*u**3 + 47*u**3 - 108*u**3).\nAnswer: -150*u**5 + 475*u**4 + 50*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 14. Suppose -6*x + 2*x = 0. Let f be a(x). Let l = 10 + -3. What is the highest common divisor of l and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1778 and 7512050?\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -525.\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 5*d + 4. Let v be j(-3). Suppose 1 = 2*s + 3*f, v*s - 2*f = 2*s + 12. Solve -s*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -271839\/71 - -3829. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*r - 8 - 46 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/111132 and -125\/6174.\nAnswer: 111132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168387 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12069 * -22793\nAnswer: 275088717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/51 (b) -1\/2566 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i + 104. Suppose 8*c = 7*c + 137. What is the remainder when c is divided by r(28)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128.866 - -129. Let k = x - 0.134. Which is the closest to 7? (a) -5 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 1. Let n(f) = 8. Let l(z) = -n(z) + 4*o(z). Let k be l(6). Calculate the highest common factor of k and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 0, 2*y = 4*n + 15 - 3. Let v = y - 4. Find a such that 0 + 3\/5*a**v + 0*a = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 9\/(-81)*0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*c + 16, 0 = -s - 5*c + 3 + 1. Suppose q = -3*q + 4*m + 64, 5*q - s*m = 76. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -2. Suppose 1510 - 2045 - 3105 = -56*d. Calculate the highest common divisor of i and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*h + 462. Suppose 49 = 5*t - 21. Let v = t + h. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 7*t = -13 + 7, -5*o = 3*t + 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 3*v. Let u be f(2). Suppose -y - 1 = -6. Which is the second smallest value? (a) y (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 4. Let t = 0.23 - 2.53. Let z = t - -4.3. What is the nearest to h in -0.2, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*q + 856*q - 431*q - 52 = 10*r, -4*q + 0*q - 14 = 5*r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, q: 4, y: 2, n: 1, l: 1, i: 4}. Give prob of picking 2 i, 1 l, and 1 n.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 14896.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 146, 305, 464, 623?\n\"Answer: 159*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2234\/7*l**3 - 2376\/7*l**2 + 96\/7 - 536\/7*l - 66*l**4 = 0.\nAnswer: -2\/7, 4\/33, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4\/9 + 1004*g**3\/9 + 137038*g**2\/9 - 22007680*g\/3 - 960972800 = 0.\nAnswer: -160, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015103608.\nAnswer: 2, 2221, 57131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3.4. Let x(u) = -u**3 + 13*u**2 - 26*u + 20. Let g be x(10). Let l = -181\/3 + g. What is the nearest to 1 in d, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.535 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 5 + -4)\/3. Let h = -129 - -57. Let d = h - -77. Put 1, d, o in decreasing order.\nAnswer: d, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/3)*v**(-10)*v\/v**(-13)*v*v**(2\/7)*v*v assuming v is positive.\nAnswer: v**(167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -391 + 32044?\nAnswer: 31653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25.3151419 and 33434.\nAnswer: 33459.3151419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 7*o**2 + 4*o + 9. Let m be k(6). Let x be (4\/4)\/(m\/15). Let a(q) = q**2 + 6*q - 4. Let t be a(-6). Which is smaller: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*l = -1385*l + 99775 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkddmrdkdkkkk. Give prob of picking 1 m, 1 k, and 1 r.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*c**2 + 26*c - 55*c + 12 + 22*c.\nAnswer: 341*c**2 - 7*c + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (147\/35)\/((-222)\/666)\nAnswer: -63\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 3*i + 9. Let j be a(5). Let p = j - -46. Do p and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a + 4. What is the remainder when i(-10) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 460? (a) 6 (b) 5 (c) 3\/2 (d) 2\/9 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 = -3*y + 2*p, y - 3*y = 3*p - 349. Suppose t - y = -3*t. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/w**(1\/8)*(w\/w**(-6\/7))\/(w**(-3)\/w))\/((w**(-4))**(-13))**(-12\/11) assuming w is positive.\nAnswer: w**(39707\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x - 2 + 2. What is the tens digit of p(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 51 = b - 103 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*o = 217, -81 - 227 = -4*d + 2*o. Let b = d + -42. Let r = b - 13. Solve 2*n = 4*t + n - 4, 4*t + r = -5*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.32 - -0.5.\nAnswer: 29.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 341059501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 917 = -8*k - 305*j, -4*k + 0*k + 2*j + 14 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4*d + 2815 = 3067, -4*l = -d - 242 for l.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14310 - -14149 - (0 - 276).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d - 12. Suppose 6*j = h + d*j - 28, -h + 32 = -5*j. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3423759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (172 - -127) + 2\/(1\/(-1)). Calculate the highest common divisor of 165 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**7\/280 + s**5\/10 - 19*s**3\/6 - 18*s. Let z(a) be the second derivative of x(a). Determine g, given that z(g) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {p: 6, i: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/923369 or -1?\nAnswer: 1\/923369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 4*m**2 + 11*m**3 - 12*m**3 + 4*m**2.\nAnswer: -m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a day in hours?\nAnswer: 464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*u - 1 + (-2*u + 4*u - 3*u)*(2 - 2 - 1) - 2*u - 2 + 2 + u - 4*u + 0*u + (-3*u + 2*u + 2*u)*(-1 - 1 + 0))*(-36*u**2 - 35*u**2 + 25*u**2).\nAnswer: 184*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = -5*t + m, -2032 = -5*t - 6*m - 2177 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 0*d = 120. Let a(r) = 47*r - 4 + 48*r - 97*r. What is the least common multiple of d and a(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -388\/7, -1.02, -3, -14?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120018 + 240043 - 22334*p - 120023)*(p**2 - 3*p**2 + p**2).\nAnswer: 22334*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32011\/8 - -2080469\/520. Let d = 6781\/298 - 3\/596. Find the common denominator of z and d.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 15*o**2 + 34*o + 45. Calculate the least common multiple of c(12) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 8. Let v(p) = 2*p + 16. Calculate 7*j(s) + 3*v(s).\nAnswer: -s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1853, -1870, -1911, -1988, -2113?\nAnswer: -2298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 47 + 69 + s + 46.\nAnswer: s + 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 minus -122.761324?\nAnswer: 125.161324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -l - a, l - 7559 + 7494 = -2*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, s: 1, x: 1, i: 1, a: 4}. What is prob of picking 4 a?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**(-26))*u*u**(41\/3))\/((u\/((u\/(u\/u**(2\/13)*u))\/u)*u)\/(u\/(u**(3\/8)*u)*u)))**(-2\/35) assuming u is positive.\nAnswer: u**(4229\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 742624 a multiple of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 1. Let q(p) = 20*p + 2 - 7*p - 12*p - 4. Calculate 2*q(u) + 3*x(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 4*f + 119*f**2 - 102*f**2.\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29568 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.2 + -7. Let t = s + -3. Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -13020004?\nAnswer: -13020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 99, 103, 109, 117?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423.899 microseconds in seconds?\nAnswer: 0.000423899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y + 5. Let b be g(1). Is b equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 4 - j**3 + 7 - 30 + 5 + 17 to k + r*j**3 + b*j**2 + o*j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**4\/8 + 5031*g**3 + 161241*g**2\/2 - 382842*g + 402960 = 0.\nAnswer: -20, 2, 13432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -39. What is the nearest to 0 in w, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58\/(-3)*(-43245)\/62?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 5*j - 5*j)*(-81 - 8 + 22)*(5*j - 2 + 3 - 2 + (3 - 4 + 4)*(0 + 0 + j)).\nAnswer: 536*j**5 - 67*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15372368 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 534500895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*w - 23. Suppose 5*g + s - 6*s = -5, 2*g + 17 = w*s. Suppose g*x - 28 = 20. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38889 rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 39*h - 309. Let m be l(-7). Solve 5*t - 15 = 2*f, 9*f - m*f = 2*t - 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 4. Let x be u(7). Suppose -6*t + 3*t - 4*v - 11 = 0, 24 = x*t - 3*v. Find the third derivative of 0*l**t + 3*l - 3*l - l**2 + 5*l**3 wrt l.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 8*a**2 - 8*a - 8. Let j be k(9). Suppose -2 = -s + j. Calculate the highest common factor of 6 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 i, and 1 o when three letters picked without replacement from jiooiiili.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*d - 5 = 0, -1 = 4*a + d - 8. Suppose -a*w = -5*x + 1, 0*x + 5*x + 3 = 4*w. What is the first derivative of -i + i - 3 + w*i**2 wrt i?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.06, 0, 3, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyykvkkkvk. What is prob of sequence yk?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1517, 2895, 4247, 5561, 6825, 8027?\nAnswer: 9155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(14\/(-12))*-7. Let i be (2*(-6)\/d)\/((-3)\/(-3)). Find p such that 6\/7*p - i*p**3 - 4\/7 + 0*p**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4260*p**3 + 10362*p**3 - 6185*p**3.\nAnswer: -83*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(192)*1 - (0 + sqrt(192)*-1)) + 4 + -3*(sqrt(108) + -3 + (1 + sqrt(27))*-5))**2.\nAnswer: 2064*sqrt(3) + 6123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 - i + 4*i + 0*i**2)*(6*i - 13*i + 19*i) in the form p + c*i**3 + x*i**2 + h*i and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -15*h**3 + 10*h**2 - 7*h + 16. Let t(g) = -7*g**3 + 5*g**2 - 3*g + 8. Let i(p) = 6*a(p) - 13*t(p). List the prime factors of i(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1539) + sqrt(1539))*4 - (sqrt(19)*-6 + 1 + 4).\nAnswer: -9 + 78*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -3, -1, 2 in ascending order.\nAnswer: -5, -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1020202 (base 6) to base 11\nAnswer: 34069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/165*15\/(-6). Which is the fourth biggest value? (a) -2 (b) v (c) 4 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 9*d - 160. Let p be s(-7). Find the common denominator of 799\/1551 - p\/2 and 127\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 471 = 2*t - t, -3*f - 3*t + 708 = 0. Suppose -f*x + 80 = -219*x. Solve 0 = -4*g + 11 + x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/3 + (8 - (-28)\/(-7))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79575*o + 79573*o - 5*z = -17, 2*o = -3*z + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1 + (-1816)\/(-1812)). Let p = m - 6. Is p\/(-15) + (-4)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 2*f**2 - 4*f)*(-2 - 2*f + 2) + 3*f**3 + f**3 - 3*f**3 + 4*f**3 - 2*f**3 + 0*f**3 - f + f**3 + f + (-1 - 3*f + 1)*(-3*f**2 - f**2 + 3*f**2).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 55*g + 190. Give l(-51).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 11:42 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1926 + 1936. What is the remainder when 219 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4163?\nAnswer: 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/880 and -57\/308?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 0 - ((23 - 5) + 0)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 4. Let n be p(-6). Let y = 0 - n. What is the remainder when y is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u*u**(1\/23)\/u)\/u)))\/(u*u*u*u*(u\/(u\/(u\/(u*u\/(u*(u*u\/(u*u\/u**(-25)))\/u)*u))))\/u)*(u\/(u\/(u*u\/(u*u**(-3\/14))*u)))**(-32) assuming u is positive.\nAnswer: u**(-7698\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -0.19, 0.1, 2\/7, -0.5 in ascending order.\nAnswer: -0.5, -0.19, 0.1, 2\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 463 = -4*y + 2*k, 3*y - 347 = 4*k. Suppose 22 = -5*w - 48. Let z be (-6)\/w + (y\/21 - 1). Solve -r + 2*d - 6 = 2*r, -3*r + 15 = z*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**5\/15 + 25*f**4\/24 + f**3 + 2*f**2 - 920. Calculate c(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 5*k - 39. Determine b(8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (389 - 357 - 286\/8)\/(81\/3)?\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and -13.\nAnswer: -1.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5 = -15. Suppose -u*d - h + 24 = 0, d + 24 = 4*d + 3*h. Let n(k) = d*k - 7*k - 7*k - k. Let j(w) = -2*w. Determine n(j(z)).\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95364 - 555364. What is m rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - -1 - (-1)\/1. Calculate the greatest common factor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 107*x + 921. Let h be a(99). Solve -h = -22*p + 3 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000086131 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-6)*-18*51\/6732 - 166\/728.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 24 = -0*j. Suppose -2*b - 2*b + j*k = -362, 3*k = -4*b + 374. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.199\nAnswer: 0.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 13*m + 24 = 3*q, -3*q - 2*m = -m + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/4 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3 - 1219*d**2 + 373312*d - 1108992 = 0. Calculate d.\nAnswer: 3, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/2*(-24)\/(-6)*(-187)\/154?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 4:07 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3520 - -2aa3?\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 24 = 3. Let m(l) = 48*l - 12*l - 3 - 21*l - 14*l - 2. Determine m(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u + 12*u**3 - 46*u**2 - 8 + 41*u**2 - 11*u**3. Suppose -4 = -4*w - 3*m, 4*m + 13 + 3 = 0. What is the lowest common multiple of w and d(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -71\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -21218*z**4\/7 + 11654038*z**3\/7 - 2081178*z**2 + 3120650*z\/7 - 185224\/7 = 0.\nAnswer: 13\/103, 1, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2 - 2*z - 1. Suppose 0*b + 110 = -5*b. Let y = b + 21. Calculate r(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**4\/4 + 2*y**3\/3 + 6*y**2. Let s be o(-4). Is 6148\/10 - (-16)\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -115, -310, -649, -1204, -2047, -3250?\n\"Answer: -12*y**3 - 111*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**3 - 8*b**2 - 105. Let w(k) = 12*k**3 + 15*k**2 + 212. Give 5*i(t) + 3*w(t).\nAnswer: -4*t**3 + 5*t**2 + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 3. Suppose -l - 4*u = 3, 3*l + 3*u = -14 - 4. What is h(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 90, -78, -1, -11, 3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h - 179. Let l be y(-26). Solve 0 = -4*u - 2*w - 2, 0 = -2*w - l + 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48998, 97656, 146314, 194972, 243630, 292288?\n\"Answer: 48658*w + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7431647 decades?\nAnswer: 0.007431647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7579.4 - 8537. Round w to the nearest 10.\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 4. Let t(b) be the second derivative of -b**3\/6 + 4*b**2 + 2*b. Let i be t(5). Suppose -m = -i*a - 18, 0*a + a + 14 = 3*m. What is r(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 32*s**2 - 34*s - 85. Let i be c(-31). Suppose 0*u - 2*u - i = 0, 2*f + 4*u - 676 = 0. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -421401, -421398, -421395?\nAnswer: -421392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q**2 + 20*q - 7. Let b(m) = 3*m + 145. Let w be b(-47). Let i be l(w). Is -4 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 710? (a) 1\/11 (b) 2\/9 (c) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4804 + -1028. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*b - 1. Suppose -j = 4*q - 150, -q - b*j + 30 = 2*j. Let w be (7 - 4) + (-118)\/q. Sort 3, -1\/4, w in decreasing order.\nAnswer: 3, w, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -202*w**3 - 255*w**4 - 213*w**3 - 363*w**2 + 413*w**3 wrt w?\nAnswer: -6120*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1014 by -2.\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 6. Let p be i\/30 + (-40)\/3. What is the units digit of -4 + p*(-9)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06059543 to four dps.\nAnswer: -0.0606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4576, 1\/141, -0.5 in descending order.\nAnswer: 4576, 1\/141, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, -652, 3, -5 in descending order.\nAnswer: 11, 3, 0, -5, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 39. Find s, given that 19 + 6*s**2 + 14*s + h - 5*s**2 = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34180 - 34186 + 141*h - 34183 + 102538)*(2*h**2 + 3 - 3) + h**3 - h**3 - h**3 to d*h + v*h**3 + l + y*h**2 and give v.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Suppose l = 3*g + 5*i - 4*i - 316, 5*i = 2*g - 205. Calculate the greatest common factor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 3*y + 9\/2*y**2 + 1\/6*y**3 + 0. What is the units digit of l(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((190\/1330)\/(51\/63 - 1))\/((-75)\/8)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 76.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1066? (a) 0.2 (b) 0.13 (c) 3\/8 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - -78)*(-1)\/(-12) + -6. Which is the closest to -3? (a) -0.08 (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -41?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 5*j**2 - 5*j - 4. Let z be l(-4). Let g = 102719\/20 - 5137. Let d = g + 3\/10. What is the nearest to z in d, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 4446.\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56837.31 months in decades?\nAnswer: 473.64425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -206 + 236. What is the remainder when b\/(-2)*((-204)\/30 + 5) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 15, 5*v - 553 = -4*x - 50. Suppose 0 = 5*o - v - 377. What is the highest common factor of o and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 + 2*c + 5. Let k(w) = -6*w**2 - 4*w - 11. Suppose -o + 5 + 14 = -4*q, 3*o - 29 = 5*q. What is o*k(u) + 7*g(u)?\nAnswer: 3*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22207472?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111913 is divided by 11190.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1890 = 5*l - 5*r, 3*l + 5*r - 1170 = -36. Let b = -260 + l. What are the prime factors of b?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 2*y - 1 + 12)*(27*y - 2*y**2 - 27*y + 50*y) as k*y**2 + t*y + q + x*y**3 and give k.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161 + 56. Let t = -527\/5 - s. Let v = -3077 + 3080. What is the third biggest value in t, -1\/2, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33146, -53867, -74588, -95309, -116030?\n\"Answer: -20721*h - 12425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 409, 9617, 24963, 46447?\nAnswer: 74069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2671\/4 + 216371\/324. Let j = z - 227\/1053. What is the nearest to 6 in j, -0.5, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32473.7547 to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1936*g**3 - 2202*g**3 - 2212*g**3 + 6324*g**3.\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 31*i + 18. Let s be r(-14). Suppose 6*c + s = 84. Let n = -7 + 12. Put n, -4, -1, c in increasing order.\nAnswer: -4, -1, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175395 and 660?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 4:18 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2336409080 from -1.\nAnswer: -2336409081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1289*h**3 - 204 - h + 53 + h.\nAnswer: 1289*h**3 - 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84089 or 84072?\nAnswer: 84089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 111 = -38*f + 41*f, -5*g = -3*f + 113. Let z(w) = -w. Suppose -s + 25 = 4*s. Let i(h) = 5*h - s*h - h + 9*h. What is f*z(c) + 4*i(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**4\/4 + 11*v**3\/3 + 5*v**2\/2 + 8*v - 13. Is i(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eib when three letters picked without replacement from {i: 1, c: 2, l: 1, e: 2, u: 1, b: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 0)*(-3 + 0 + 4) - 1 + 2 - 2 - 1 + 5 - 2 + (3 + 0 - 2)*(2 - 2 - 1) + 0 + 5 - 3)*(-38*u**2 + 78*u**2 + 2 + 72*u**2 - u).\nAnswer: 336*u**2 - 3*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 1:03 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p - 43*p + 37*p - 167*p - 81*p.\nAnswer: -263*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402691, -805380, -1208069, -1610758, -2013447, -2416136?\nAnswer: -2818825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -153942174 divided by 14582?\nAnswer: -10557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16550, 24459, 32368, 40277, 48186, 56095?\n\"Answer: 7909*z + 8641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 4*d + 15. Let b(s) = 2*s**2 + 9*s - 31. Let i(r) = 4*b(r) + 9*y(r). Let n be i(0). Suppose 3*z + n = 4*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**4\/4 - 65*v**3\/2 - 130001*v**2\/4 + 524421*v\/2 + 294678 = 0.\nAnswer: -306, -1, 9, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -560?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00069738158 to six decimal places.\nAnswer: 0.000697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4 - 4)*(3 + 0 + 15)*(-22 - 9 + 1).\nAnswer: -540*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3*1)\/(3 - (-3699)\/(-1224)). Find the third derivative of -5*t**2 + q*t**3 - 136*t**3 - 30*t**4 wrt t.\nAnswer: -720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6667648 and 1456?\nAnswer: 46673536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1209 - 12 = -3*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 527 and 77758?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 105066?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 6*j**2 + 5*j + 11. Let t(o) = 3*o**3 - 1 + 0*o - 10*o + 9*o**2 - 16 + 3*o. Let m(d) = -5*t(d) - 8*y(d). What is the tens digit of m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27967 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39 and -186.2.\nAnswer: -7261.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9 (b) -0.03 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24 + -18 - (4\/2)\/1. Put i, 6, -3 in ascending order.\nAnswer: -3, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167 divided by 7992.\nAnswer: 167\/7992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18322 is divided by 2255?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**4\/6 - d**2\/2 + 4*d - 16. Let y = -1 - -2. Let r be v(y). What is the greatest common divisor of 2 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 12*s - 4. What is the remainder when 114 is divided by q(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 24*c**2 + 7*c + 4. What is x(-2)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 less than 627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -153, -292, -431?\n\"Answer: -139*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 898*y - q + 44 = 903*y, -20*q + 380 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -951*n**2 + 30*n + 66. Let j(g) = 2*g**2 + 9*g. Let m(f) = -i(f) + 5*j(f). Find the second derivative of m(q) wrt q.\nAnswer: 1922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k - 105 = -163 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, -0.01, -3 in descending order.\nAnswer: -0.01, -1.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/20 + 51*t**4\/8 - 62*t**3 + t**2 + 872*t. Differentiate x(r) wrt r.\nAnswer: 6*r + 153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 7*z - 6. Let k be w(-4). Let v(a) = a - 10. Let c(q) = -q + 11. Let j(g) = k*c(g) + 5*v(g). Let x be j(11). Solve -t - 2 = -x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 79*g**2 + 19.\nAnswer: 79*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 80 = -4*z, 7*a - 8*a - z = -17. Calculate the highest common factor of a and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 2*h**2 + 2. Let b(y) = -125*y**3 + 4*y**2 + 112*y - 4. Let j(l) = -b(l) - 2*g(l). What is the second derivative of j(x) wrt x?\nAnswer: 738*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6\/13)\/(g**(-1\/2)*g)*(g\/((g*g**(-27))\/g))\/g*g*g**(-12) assuming g is positive.\nAnswer: g**(391\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-4)\/78*-11. Let l = j + -67\/78. Is l at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/2940 - 49247\/5880. Let r = -18724927\/35350 - -16\/17675. Let z = r - -541. What is the common denominator of u and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20, 13, 4, -7, -20, -35, -52?\n\"Answer: -f**2 - 4*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/18 and 63\/364204?\nAnswer: 3277836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/((675\/20)\/(-9) + 3). Differentiate v**3 - k*v**3 - 6*v**3 + 3*v**3 + 52 with respect to v.\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4*275\/(-1210).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -11. What is the derivative of -f + 0*w + 3 + 6 + 4*w wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*n + g, 4*g + 2 = -10. Let j be (n - (-2)\/4)\/((-5)\/(-600)). Let u = -55 - j. Solve -5*b + 4*c = 3, -4*c + 7 = u*b - 3*c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 0\/(-3) + 1. Let y(a) = -6 - 13*a + 27*a - 32*a. Let m be y(q). Solve n - m = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -55*z. Let o(h) = -5*h. Let f(i) = -6*k(i) + 65*o(i). Let m(n) = 21*n. Suppose -23 - 25 = 8*r. Give r*m(p) + 26*f(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - f**2 + 1 + 3*f + f**3 - 5*f**2. Let i(x) = -x**2 - 5*x - 5. Let m be i(-4). Let h = m - -4. What is g(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161581809132 - 0.1?\nAnswer: 161581809131.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from gvmza?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 17\/2*s**2 + 48 - 3*s**4 + 11\/3*s**3 - 3*s. Let c(j) = 4*j**3 - 4*j**2 - 6*j + 1. What is -17*c(m) - 6*o(m)?\nAnswer: 4*m**3 + 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133*14759.\nAnswer: 1962947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 60 = -4*n. Let v(i) = i**2 - i - i - 3*i. Let o be v(8). What is the greatest common divisor of n and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) - (sqrt(78) - (sqrt(78) - (sqrt(78) + -3*sqrt(78))*-5))))\/(-5*sqrt(150)).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 17. Solve -3*j + 4*j + 2*o - 2 = l, 2*j - o = -1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 4*f**2 + 5*f - 3. Let g be y(3). What is the third biggest value in -0.4, 1, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 6 + -4 - (127 + -36 + 24).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y - 14. Let f(d) = 65*d - 240. What is 2*f(p) - 35*h(p)?\nAnswer: -10*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**5 - 12155*w**4 - 7453600*w**3 - 80525500*w**2 = 0?\nAnswer: -1210, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 102. Let x = n + 111. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2. Let q(s) = -184*s**2. Determine t(q(x)).\nAnswer: 101568*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a factor of 1101456997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 7. Let z(w) = 7*w. Let c(b) = -8*b + 1. Let u(y) = j*z(y) - 4*c(y). Let r be u(-8). Calculate the highest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276549 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -70*o**2. Let y(x) = 12*x**2 - 6*x**2 - 5*x**2. Determine y(i(s)).\nAnswer: 4900*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0981 less than -0.03?\nAnswer: -0.1281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5 = 5*m, 0*m - 4*m = -4*c - 4. Let v be (0\/(2 - c))\/(-1). Let z(f) = -f**3 + f + 127. Is z(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (163\/1304)\/((-5)\/2).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 + -126.9911. Round u to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4824?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2216 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/4665 and 50\/51.\nAnswer: 79305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -50*q - 161. Give n(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, e: 4, u: 1, i: 1}. Give prob of sequence quqe.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.031, -123\/116, 7, -0.1?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 335626976 to the power of 1\/2, to the nearest integer?\nAnswer: 18320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2477707 and -0.68?\nAnswer: 2477707.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3105 or 1?\nAnswer: 1\/3105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232167 and 312?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260 divided by -26.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3\/2 + 7115*m**2\/2 + 1270900*m + 3780750.\nAnswer: 5*(m + 3)*(m + 710)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + ((2*sqrt(1872) + 3)**2 + -3 - ((-2 + sqrt(117))**2 + 0 + 4)).\nAnswer: 156*sqrt(13) + 7375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 9*d = 2*c - 7267, 5*d = -2*c + 7261. Round c to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4\/2 - 64827*k**3\/2 + 349919757*k**2\/2 + 3154530987*k\/2 = 0. Calculate k.\nAnswer: -9, 0, 10809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 568 and 4473?\nAnswer: 35784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -93889.469 to the nearest 100.\nAnswer: -93900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 453 divided by 1169\nAnswer: 453\/1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2063, 2064, 2065, 2066, 2067, 2068?\nAnswer: 2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 119. Let r = -25355 - -25385. Calculate the greatest common factor of r and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y\/y**(-2\/27)*y)\/y))\/(y*y**(-26)))**(-16))**(-1\/42) assuming y is positive.\nAnswer: y**(5384\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 12:09 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 114 = -3*n, -n + 4*n + 5*k - 106 = 0. Suppose 2*m = 4*t - 96, n*t - 46*t = -5*m - 90. Solve -3*f + t = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456885?\nAnswer: 3, 5, 11, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 - -98. What is the third derivative of 638*w**4 - 21*w**v + 52*w**2 - 669*w**4 wrt w?\nAnswer: -744*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353\/7 bigger than 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 61*1\/(-4*(-5)\/140)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.083 - 0.09969. Let h = 3.3 - 3.283. Let v = y + h. Round v to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1 + (1 - 2 + 3)*(2 - 3 + 3) - 7 - 3 + 7 - 3 - 1 + 2 + 0 - 3 + 0)*(6 - 6 + 4*f)*(-3*f + 0*f + 4*f).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 15 = -10. Let y(q) = -q**3 - 6*q**2 - 6*q - 3. Let f be y(i). Solve 0*x + 4*x + 11 = -5*w, -x - f = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3655325100 to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.43 in -4, 2169, -2\/5, 0.05?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3\/2)*w)\/w*w*w*w)\/w**(-1)*(w**(1\/11)\/w)\/w**(-2\/9))\/((w**(-1))**(2\/101))**(-19) assuming w is positive.\nAnswer: w**(28735\/19998)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 3. Give j(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28653, 28716, 28821, 28968, 29157, 29388?\n\"Answer: 21*a**2 + 28632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 216, 479, 838, 1287, 1820, 2431, 3114?\nAnswer: 3863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, e: 3, t: 1, d: 2, o: 2, x: 1}. What is prob of sequence ot?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + t + 175. Let c be a(0). Let h be ((96\/(-2))\/3)\/(4\/22). Let b = h + c. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3 - -2.56. Let y = k + 0.24. Which is the third biggest value? (a) -5 (b) 0.06 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*11.806\nAnswer: 4.7224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 387, 775, 1163?\n\"Answer: 388*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407637824.\nAnswer: 2, 11, 173, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 127343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 = -8*q + 66. Let b(h) = h**3 - 7*h**2 + 4*h + 8. Let t be b(6). Let c be ((-52)\/16)\/(t\/16). Calculate the highest common divisor of c and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.43*-0.15\nAnswer: 0.0645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - n + 5*n - 40 = 0, t - 4*n + 13 = 0. Let g = -6 - t. Suppose 0*d - g = -d. 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 g(z) = 25*z**2. Let k(d) = 146*d - 56. Give k(g(c)).\nAnswer: 3650*c**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -4*l - l**3 + 2*l**2 + 3\/4*l**4 - 12. Is x(2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 495. Let y(r) = -3*r + 1001. Give -5*q(u) - 3*y(u).\nAnswer: -u - 528","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5463*p - 136691. Calculate m(25).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -6.9 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.121 - 57.121. Let z = -57.0083 - q. What is z rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1266*b**2*i*v**2 - 3*b**2*i*v + 49*b**2*v + b*i + b*v - 385*i*v**2 + 35*v**2 wrt b?\nAnswer: -2532*i*v**2 - 6*i*v + 98*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 13*m**2 - 387876*m + 238688 = 0.\nAnswer: 8\/13, 29836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55662 - -0.4.\nAnswer: 55662.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -270931, -54, -4 in decreasing order.\nAnswer: 0.4, -4, -54, -270931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((45 + 13*q - 45)*(-2 + 2*q + 2) - 2*q**2 - 1 + 1)*(-1 - 4*q + 1).\nAnswer: -96*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306417858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5589 times 31.6?\nAnswer: 176612.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97853*a**2 + 27134*a?\nAnswer: -195706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -4*i**3\/3 + i**2 + i + 1. Suppose 4*j - 3*q = 13, 2*j + 2 = 3*j - 2*q. Suppose -3 - 1 = j*a. What is u(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19586097 is divided by 561.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-35))\/(13\/(-728)*-6)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 124701194, 124701193, 124701192?\n\"Answer: -l + 124701195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000022502 rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 302064 (base 9) in base 15?\nAnswer: 37e0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**3 - r**2 + r. Let a(x) = -20*x**3 - 63*x**2 + 2*x. Give a(c) - 2*o(c).\nAnswer: -14*c**3 - 61*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, 0.031, -1\/4, 95, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15612, -17369, -19122, -20871, -22616, -24357, -26094?\n\"Answer: 2*f**2 - 1763*f - 13851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3606912 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2303, -2140, -1867, -1484?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 5*t = 27*d - 45, -d = -6*t + 5 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v. Let b(n) = -6177*n**2 - 58*n - 116. Let d(p) = -325*p**2 - 3*p - 6. Let r(t) = 3*b(t) - 58*d(t). Calculate r(x(u)).\nAnswer: 7975*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/4)\/((-12)\/4)*-15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 0.3, 2\/25, 1 in ascending order.\nAnswer: -0.11, 2\/25, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.01193183 to three decimal places.\nAnswer: -30.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -112, -42, 46, 158?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011 (base 2) in base 10?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6970125437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3561*j - 3564*j. Calculate the remainder when 172 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11349 + 22288. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21660787 - 33.\nAnswer: -21660820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 178*o + 629. Determine x(-92).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1373 by 39568.\nAnswer: 1373\/39568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 11*s - 4. Let b(x) = -5*x + 16. Let m(n) = -2*n + 7. Let d(q) = 3*b(q) - 7*m(q). What is -5*d(i) + g(i)?\nAnswer: i**2 - 6*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691654516?\nAnswer: 2, 7, 31, 577, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*((-4*(sqrt(1008) + -1))**2 - sqrt(1008))*-5.\nAnswer: -242161 + 5940*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1367*n**4 - 57*n**3 - 443*n**2 + 747019200*n wrt n.\nAnswer: 16404*n**2 - 342*n - 886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5468, 10955, 16440, 21923, 27404, 32883?\n\"Answer: -d**2 + 5490*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*w + 477 + 73 = 0. Solve -t = -w*z - 55 + 51, 2*z + 3*t = -5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2 + 4 + 6*a - 3*a + 4*a**2 - 5*a. Let o(n) = -n**2 + n - 1. What is f(x) + 2*o(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 84 - 85 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*d + 588, 615 = -3*m + 19*d - 15*d. Let b = m - -205. Solve 0*w = -2*x + b*w - 14, 0 = -4*x - 3*w + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 12. Suppose -3*j - 1 = -2*f + a, 3*f - 4 = 4*j. Let m be (-14 - -18) + f\/(-1). Solve m = -0*b + 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.037 (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -166*x**2 + 27348*x + 207088 = 0.\nAnswer: -602\/83, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4906 - 2166. Let s = 1371 - z. Let u = 451 - s. What is u rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Let v(s) = -5*s + 9*s + 3 - 1 - 6*s. Let u(f) = f - 1. Let d(p) = 1. Let m(j) = d(j) - 4*u(j). Give n*m(w) - 7*v(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985 is divided by 163.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13378 = -865*r + 31971 - 7289 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 26. Which is greater: -0.04 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(3)*-3*-1 + -3.\nAnswer: -4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x**3 + x**2 - 1. Let o be z(1). Let q be -1 + 0 + (-4 - o). Suppose -q = -g + 2. Solve 3*j - 10 + 3 = 2*t, -3*j + g = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4519.1 to the nearest ten.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/24774 and 50\/7357.\nAnswer: 182262318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84523117?\nAnswer: 7, 887, 13613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.57 times -0.3\nAnswer: -0.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39354, -39267, -39180, -39093, -39006, -38919?\nAnswer: -38832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488758261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**2 + o**2 - 2*o**3 - 2*o**2 + 8*o**2 + 1 to the form z*o + s*o**3 + r*o**2 + w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 12*g - 23. Let h be f(8). Let x = 51 - h. Which is smaller: x or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -16*w. Let y(j) = -20*j + 416. Let p be y(20). Let o(l) = -l**2 + l. Determine p*o(d) + i(d).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) 2\/5 (c) -1\/2 (d) 4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2123 and -0.08.\nAnswer: -2123.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9333198 divided by -1037022?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 6, o: 5}. Give prob of sequence jjh.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 477219182 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 2:50 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-175)\/(-14) - 3)*82?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + sqrt(2299) + 2*sqrt(2299) + 0)**2.\nAnswer: -264*sqrt(19) + 20707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrgmrglltggrgtlllrd. What is prob of picking 1 r and 1 m?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppbbbbbpbbp. What is prob of picking 3 p?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19052 - -38226. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4727983 and 156.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 56\/7 + -7 + 42\/(-7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3 + 6*s + 5*s - 15*s - 2*s**2 + 0. Suppose 4*a = -a + 10. Determine i(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1018*t = 1019*t + 1. Let i(y) = -27*y**3 + y**2 + 4*y + 2. Let g be i(t). Which is smaller: 0.1 or g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 484 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, h: 1, l: 11}. What is prob of sequence yh?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a gram in micrograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1 + 3*n**2 - 3946*n - 4*n**2 + 3946*n. Let a(v) = -2*v**2 + 3. Suppose 0 = 4*r - 4*u + 20 - 64, 4*u = 5*r - 52. Give r*q(h) - 3*a(h).\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 12 = 4. Solve k*r - r = 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-1 - -3)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 70 = 12*w - 34*w, -16 = t + 5*w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 17*a. Suppose 3*s = 8*s + 4*p + 3, -3*p = s + 5. Let f be i(s). Suppose -2*m = -70 + 2. Calculate the highest common factor of f and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10011385 a multiple of 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 15*c - 45. Let r be j(5). Suppose r*a - 29*a = 1563. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-51)\/204).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3135*s**2 + 9363*s**2 - 3053*s**2 - 3027*s**2.\nAnswer: 148*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 376 by -94.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 3*m**4 + 4*m**4 - 3*m**4 + 3*m**4 with respect to m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 6*a**2 + 2*a - 7. Let u be (-60)\/(-4)*(-3)\/9. Let d be o(u). Let k(v) = 93*v - 7. Is k(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159663 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 7:09 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0042137 rounded to 4 decimal places?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 632606 and 175566.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 1. Let h(l) = l + 13. Let m be h(-6). Let x(n) = -26 + m*n - 2*n + 34. Let f(z) = -6*j(z) - x(z). What is f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q + 6. Let o(x) = 13*x - 3. Is 9 a factor of o(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 64, -4\/43, -0.4, 4?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 2\/57 (b) 94 (c) 0 (d) -10 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c + 1. Let u(p) = p. Let z(k) = 9*u(k) - 2*w(k). Let l be z(0). What is the closest to -1 in l, -6\/5, 0.3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - w)*(3 - 1 - 1) + w - 4*w + 2*w)*(1 - 3 + 1)*(5 - 4 + 4).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**4\/10 - 18*q**3\/5 - 119*q**2\/5 + 294*q\/5 - 4358. Let l(z) = 0. What is z?\nAnswer: -21, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r = -4*q + 19009, 4*q - 5*r = 18999. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 12. Let j be y(9). Which is smaller: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - 11)*2\/4*-547. Suppose 5*h + 2*j + 351 = 1717, 2*h + j = s. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, k: 5}. What is prob of sequence ddd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020686 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4982, -4187, -2024, 2191, 9142, 19513?\n\"Answer: 114*f**3 - 3*f - 5093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u + 14*u - 48*u)*((-u**2 + u**2 + u**2)*(-3 + 0 - 1) + 2*u + 2*u**2 - 2*u).\nAnswer: 42*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47831 + -31420. Let z = 16410.81974 - s. Let c = z + 0.18. What is c rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5987*y. Let w(g) = -1723*g. What is w(i(j))?\nAnswer: 10315601*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5213 is divided by 4496.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a**3 - 11*a**2 + 20*a - 4. Suppose -13*b + 64 - 38 = 0. Let i be x(b). Calculate the greatest common factor of i and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2232 + -121?\nAnswer: -3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/8 and 3\/122.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 59. Let d(x) be the third derivative of -x**4\/24 + 10*x**3 - 2057*x**2. Calculate 3*d(n) - 2*g(n).\nAnswer: -n + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b5 - -4e2?\nAnswer: 5a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b. Let o(y) be the third derivative of 11*y**6\/60 - 53*y**3\/6 + 84*y**2. Let h(w) be the first derivative of o(w). Determine p(h(q)).\nAnswer: 132*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 55296 = 98*f - 94*f, -41489 = -3*f + 5*j. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, -10, 16, 68, 152, 274, 440, 656?\n\"Answer: q**3 + 4*q**2 - 13*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -4*p - 8, p + 3 = -2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19120, -19123, -19126, -19129, -19132, -19135?\n\"Answer: -3*m - 19117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**5\/60 + 11*c**4\/24 - 2*c**3 - 51*c**2. Let b be v(-12). Let o be ((b - 1) + 0)*3\/(-3). Solve -k - 3 = o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3546 or 3544?\nAnswer: 3544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/7)\/((2\/3)\/(-49*(-39)\/1638))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + 0.01. Let y = 23.66 - l. What is y rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3557 - -0.0973. Let i = b - 0.053. Let n(a) = -a**2 + 6*a - 4. Let y be n(5). What is the closest to y in -2, i, 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 - (-4438)\/392) + (-6)\/(-14). Which is the third smallest value? (a) 0 (b) -15 (c) 1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -110700?\nAnswer: 110705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4916 and 687303502?\nAnswer: 2458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -35. What is the units digit of 5 - (3 + (-3)\/(-2 + y))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1640 and 13540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:24 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 735313 + 2?\nAnswer: 735315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 + 13284*d\/7 - 37216190\/7.\nAnswer: 2*(d - 2123)*(d + 8765)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n - 3 = 0. Let h be 6\/(-9)*(7\/(-7)*4 - 2). Put n, h, 5 in decreasing order.\nAnswer: 5, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p + 10. Let w(s) = -4*s - 9. Let q(c) = -3*i(c) - 4*w(c). Let k(f) = -f**3 - 15*f**2 + 15*f - 16. Let g = 55 + -71. Let v be k(g). Calculate q(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18125827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 253 + -246.95. Let a = v + -6. Round a to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2718\/(-1208) - (-17)\/36.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*g**4 + 31*g**3 + 7*g**2 + 4*g - 212454?\nAnswer: -72*g**3 + 93*g**2 + 14*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 7. Let g be (7 - -1)\/(-5 - -4). Let s be u(g). Let y be (2\/(-6))\/(s\/(-15)). Solve 0 = 4*j - 3*j + 2*p - 3, y*p = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 - 0.03. What is the third smallest value in h, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.72 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3195, 3188, 3181?\n\"Answer: -7*o + 3202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (-121 + 133 - (0 - -13) - 2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and -1368.\nAnswer: -191.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2\/5 + 94*l\/5 = 0?\nAnswer: 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 69?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*t - 7*t + 9 = 0, -6*i - 9*i + 13*i + 3*t = 12*i - 67 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/4 and -95\/30536.\nAnswer: 30536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - (10 - 15 - (-19 - 13)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 428 = -3*h, -4 = -4*n + 4. Let y = -24 - h. What is y rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(288)\/sqrt(9)*4.\nAnswer: 2 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 10:52 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -39*v + 274. Calculate h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2798, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*w - 103*w = -30 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -5, -6*y = -y + 3*i + 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*h**2 + 5*h**2 - 25*h**2)*(-3 + 2 + 3)*(-4 - 3 + 6) as s*h**2 + y + m*h and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20.7026 and -2896087368.\nAnswer: -2896087347.2974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.056, 4, -5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*t - 25. Solve 5*x - 1 - 4 = 0, 5*x = -t*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 93*g**5\/20 - 27*g**4\/8 + 27*g**3\/2 + 12*g**2 - 10. Let y(k) = -14*k**2 + 4*k - 4. Calculate 4*m(u) + 81*y(u).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -929026 rounded to the nearest 1000?\nAnswer: -929000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 479778 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 9*k = 4*i - 11, -3*i - 3*k + 15 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -183 - 3?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6*(32 - (-2940)\/(-90))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 73, -0.4, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(275) + sqrt(275) + -1 + 3)**2 - sqrt(275))*-5 + -1 + (sqrt(275) + 0 + sqrt(275))**2 + -3)*-4.\nAnswer: 2800*sqrt(11) + 70784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 29. Let z be 26\/m + (-2)\/8. Suppose -4 = -s + z*r, -6 + 3 = -s + 2*r. Do 2\/3 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1348a6 (base 11) to base 6.\nAnswer: 4310342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(4)*-2) + 2)**2.\nAnswer: -6*sqrt(5) + 61\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (35 + -30 - (0 - 0)) + -1 + -13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b - 7*b)*(2 - b - 1 + 1)*(-463*b - 349*b + 43*b - 176*b).\nAnswer: -8505*b**3 + 17010*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*w + 36*w - 4*f + 4, 4 = 5*w + 4*f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -2*d**5\/5 - 403*d**4\/2 + 2*d**3\/3 + 3492*d - 609. Find the first derivative of a(f) wrt f.\nAnswer: -8*f**3 - 2418*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/6)\/(-3 - (-115)\/30). Factor 0*f + 1\/4*f**g + 0.\nAnswer: f**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**7\/5880 - o**6\/840 - o**5\/420 - 2*o**3\/3 + 5*o**2\/2 - 32*o - 1. Let b(l) be the second derivative of d(l). Factor b(s).\nAnswer: -s*(s + 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26101279?\nAnswer: 26101279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 2. Let d be c(4). Suppose -6 + 32 = d*h. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 13326490 + 12773507 = -5*m, -5219991 = m - 3*q. Round m to the nearest one hundred thousand.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - s + 3*s = 868, -2*s = 0. Let i = q + -62. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.8 + -2. Let t = -2\/429 - -868\/2145. Are t and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22195 divided by -4439.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 3 - 3)*(26*k**2 + 0*k**2 - k**2) + 2*k**3 + 0*k**3 + 0*k**3 - 3*k**3 + 6*k - 6*k to the form r + s*k + m*k**3 + p*k**2 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a century in decades?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 + 0 = 0. Suppose m*l - 3*w + 3 = 0, w = -2*l - 3*w - 2. What is the units digit of (l\/(-2))\/((-1)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 5:37 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11577, 23096, 34551, 45942, 57269?\nAnswer: 68532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.525027l in millilitres?\nAnswer: 1525.027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 116*h - 4112. Calculate the remainder when g(43) is divided by 41.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 12905*f + 12904.\nAnswer: (f - 12904)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/50*455\/1729.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + 9*i + 7. What is the units digit of m(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.07 + 19.1. Let v = -65.15800659 - -64.188006. Let h = l - v. Round h to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.72266 years to months.\nAnswer: 764.67192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 + -6)\/(9\/12). Suppose 4*w - s*m + 6*m = 12, 2*w - 5*m + 6 = 0. Solve 3*b + 14 + 1 = u, w*b = -u - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 0) + (-8)\/(-4). Let j(v) = 0 + 1 - 2*v**o - 5*v - 3. Let g(i) = 3*i**2 + 9*i + 3. Let x(h) = 5*g(h) + 9*j(h). Differentiate x(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -108.2?\nAnswer: -432.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913228868.\nAnswer: 2, 709, 322013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004077235 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 1:15 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 602785072 divided by 1.\nAnswer: 602785072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677 divided by -6?\nAnswer: -559\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17.414*-1.47\nAnswer: -25.59858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1234\/431 + 2899\/862. Factor n*y**3 + 64 - 62*y + 14*y**2.\nAnswer: (y - 2)**2*(y + 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 5*i + 5. Let o(s) be the second derivative of s**4\/2 + 7*s**3\/3 + 7*s**2 - 2*s - 33. Suppose -z + 5 = -2*z. Give z*o(p) + 14*r(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661131289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.2 (b) -0.3 (c) 25 (d) -0.5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 10 + -13 + 9 + -9 + -1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 323. Let f = y - -267. Solve -f*h + 1 = 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.5 times -23?\nAnswer: 770.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/((((w*w\/w**(2\/29))\/w)\/w)\/w)))\/w)\/(w**(9\/5)\/w))**18 assuming w is positive.\nAnswer: w**(-10098\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 2, d: 2, i: 1, h: 1}. Give prob of picking 1 h and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 7*v - 8*v + 475 = 0. Let l = 70 + -40. Calculate the remainder when l is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/((-630)\/27 + 24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 1\/3*o**3 + 1 + 9*o + 7\/2*o**2. Let g(d) = d**2 + 7*d + 6. Let i be g(-4). What is b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 40805423?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436118 is divided by 435606?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8279?\nAnswer: 17, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17831, 35681, 53545, 71429, 89339, 107281, 125261, 143285?\nAnswer: 161359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*t = 215, w - 82 = -4*t + 101. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20587122 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175 and 22?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-10))\/(2*1\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64882736 and 173548?\nAnswer: 4036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10378564.\nAnswer: 2, 7, 370663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/96*(-674)\/(-3). Let s = 111 + f. Put -40, s, -2\/3 in descending order.\nAnswer: -2\/3, s, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13221 - 3342?\nAnswer: -21003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -330554, -1\/2, 3 in ascending order.\nAnswer: -330554, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 155*d - 16 + 436*d to s*d + w and give s.\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 36610 divided by -5230\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 7 + (6\/(-1) - -4). Suppose 18*i - s*i - 91 = 0. Solve 0 = -i*j + 4*j + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/27, -2\/25, 2, 21, -1, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*b - 18*b + 1386. Let g(i) = 54*i + 1 - i**2 - b*i - 16. Calculate g(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 476, 20, -5 in decreasing order.\nAnswer: 476, 20, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 - 2*q**5 + q**5 + (-4*q**2 + 4*q**2 - q**4)*(5*q + 6 - 6) + 0*q + 0*q + q**5 + 1 - 1 + q**5 + 4*q**5 - 5*q**5 + 3*q**5.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.99 - -0.11. Let s = 380 - 391.82. Let o = s + v. What is o rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*m = -6*m + 3, -m - 7 = -3*b. Suppose c + b*c = 180. Suppose 6*d + c = 16*d. Solve 2*n + d = 4*o, -4*o + 30 - 6 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 12:42 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15001\/11? (a) 2\/11 (b) -2\/7 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/11019 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + (sqrt(684) - (sqrt(684) + sqrt(684) + 0 + sqrt(684))) + 4))**2 - 3*(sqrt(684) + -1)**2*-6*2.\nAnswer: -3024*sqrt(19) + 123480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 1, h: 1, r: 1, n: 1, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39859558 + 3?\nAnswer: 39859561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**2 - 4*d + 4. Suppose 0 = 5*z + 10 - 30. Suppose s + 2*k = -2*k + 17, z*k - 8 = 0. What is the remainder when s is divided by v(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 308 + 306 - 614. Let d(a) be the third derivative of 0 - 1\/15*a**5 - 3*a**2 + 0*a**4 + 0*a**3 + 0*a. Calculate d(t(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138*i**3*r**3 + 20755*i**3 + 884*i**2*r**2 + 102*i*r**3 - 156*r**3 wrt r?\nAnswer: -828*i**3 + 612*i - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28099413.5 rounded to the nearest 1000?\nAnswer: 28099000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-71)\/142*15\/(-20)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -8*d + 3*d + 3*r, -5*d + 43 = r. Suppose 7*u = d*u - 14. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 5*d**2 + 9*d - 9. Let r = -8 + 14. Let v be t(r). Let n be (1\/(30\/(-80)) + 2)*-3. Solve v = -3*q - 3*s - 3, 4*q = n*s - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/859025 and 187\/5850.\nAnswer: 201011850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1230*o + 84474 - 29397 = -45783 for o.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 515 and 8343.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2 (b) -3 (c) 184\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(416) + sqrt(416))*-5)\/(-5*sqrt(80)\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17744.\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(272) + sqrt(272) + 0) + (2 + sqrt(272) - sqrt(272))*5)*-4*-5*5)**2.\nAnswer: 6400000*sqrt(17) + 175080000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from kbkjjbkjkbj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/4 - (3 - 0). Let r be 13 + -16 + (y - 1). Suppose g - 158 = -5*b, b = -0*b + r*g + 22. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 4*s = 0. Suppose 3*b + 16 = -5*t - 3, s = -2*t - 10. Calculate the lowest common multiple of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -211, 3, -3 in decreasing order.\nAnswer: 3, -3, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -3301211?\nAnswer: -3301203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)*n**(-5))\/(n**(-1\/4))**8*((n*n**(-1))**(-18\/5))**(-1\/32) assuming n is positive.\nAnswer: n**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49682298, 99364600, 149046900, 198729198, 248411494, 298093788?\n\"Answer: -v**2 + 49682305*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**4\/24 - q**2. Let y(t) be the third derivative of -t**5\/30 - 101*t**2 - 2*t. What is u(y(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-138)\/8)\/((-1326)\/(-1768))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b + 9*b**2 - 3*b**3 - 4*b**2 - 6 + 2*b**3. Determine a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654641991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51310, 60, 2, 1.\nAnswer: -51310, 1, 2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59585 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5}. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**30*y**4*y*y\/((y*y*(y*y**11)\/y*y)\/y) assuming y is positive.\nAnswer: y**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 691579567 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z**(20\/9)\/z)\/z)\/z)*z*z*z\/(z\/z**(-7))*z)\/(((z*z**(-3\/14))\/z)\/z*z)**(-2\/3))**(-13\/3) assuming z is positive.\nAnswer: z**(1937\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 - -2. Let i(x) = x**2 - 2*x - 1. Let n be i(2). What is the biggest value in -2, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(475) - (2 + sqrt(38)\/sqrt(2))) + -5*(sqrt(475) + sqrt(475)*2)**2*-2.\nAnswer: 4*sqrt(19) + 42747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 478\/(-239)*(-9)\/(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5094528*u**4 + 26888575*u**2 wrt u.\nAnswer: 122268672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 640915*d**2 + 640920*d.\nAnswer: -5*d*(d - 128184)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12034.64871s?\nAnswer: 0.019898559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14\/2447 - 223125\/78304. What is the common denominator of s and -61\/12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100657290 to the nearest integer?\nAnswer: 10033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 849273686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -61688.\nAnswer: 19\/61688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -73, -80, -89, -100?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 6) + -6 + (-16)\/(-2). Solve -25*l - 7 = -21*l - 3*i, u*l - 5*i + 19 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(2*p + 0*p - 4*p) + 4 - 4 - p + (2*p - 3*p - p)*(-1 + 2 - 2).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 338*w - 16 + 9 - 3174*w**2 + 2*w**4 + 3172*w**2 to the form c*w**3 + s + g*w**4 + r*w + h*w**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 18 = 9. Suppose o - 7 - 3 = -3*b, -b = -3*o - 10. Suppose -b*r + 3*d = 1, -3*r - d + y = -0*r. Solve 3*s - t + 13 = 0, 2*s = -0*s + r*t - 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 4. Let u be -2*(-1 - (-9)\/6). Let d be (-6 - -3 - -4)\/(u - 0). Let k be (7 - (d - 0))\/2. What is a(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1428 < 333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-460326 - 1743*f**2 + 460326 - f**2 + 3 - 3 - 1 - 2*f**2 + 1 + (1 + f - 1)*(-5 - 2*f + 5))*((-2 + f + 2)*(-2 + 2 + 2) - f - f + 3*f).\nAnswer: -5244*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) 1 (c) 1\/8 (d) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n + 13. Let r be q(5). Let f be 7682\/r + (-5 - 31\/(-6)). Is 0 + -1 + 2 - f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + 8.95. Let v = 9.00000014 - h. What is v rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 2075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45, -50, -51, -42, -17, 30?\n\"Answer: v**3 - 4*v**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -234, -523, -928, -1449, -2086, -2839?\nAnswer: -3708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -17*a**3\/3 + 13*a. Let x(o) be the first derivative of o**3\/3 - 26. Determine x(m(c)).\nAnswer: 1156*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 46 = -4*h, h + 4 - 35 = -3*d. Solve 0 = -13*r + 15*r + d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49929 + -49931. Let o = 0.8 - -0.2. Which is the closest to 0.3? (a) -1 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-235)\/47 - 1*9\/(-6)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u + 52. Give i(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l + 3. Let x(g) = 16*g + 4. Let r(t) = 5*i(t) - 6*x(t). Let z be r(-4). Suppose -749 - z = -8*v. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - (11 - ((40 - 40) + 6 + 3))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -550*i - 2695. Let n be h(-5). Let x be ((-1)\/2)\/(1\/(-10)). Calculate the greatest common factor of x and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 5\/2418, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 29*o + 36. What is the remainder when q(7) is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/5 (b) 4 (c) -0.5 (d) 96 (e) -1\/10 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 9 - 9*m**4 + (-161 + 3*m + 161)*(-2*m**3 - m**2 + m**2) as x + j*m + o*m**4 + g*m**2 + y*m**3 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a factor of 16737327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -2, -4, 4\/3, -21?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2557, 10132, 22763, 40450, 63193, 90992, 123847?\nAnswer: 161758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/189*36\/132*11\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 257987540299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7*c. Let f(i) = -i**2 - 3573*i + 3572*i + c*i**2. Let h(z) = -3*z**2 - 9*z - 1. Let t be 0 + (3 - 3) - -1. Determine t*h(d) - 5*f(d).\nAnswer: 2*d**2 - 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 9412\/11 in descending order.\nAnswer: 9412\/11, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**8\/1008 - t**7\/210 - t**6\/180 - 13*t**2. Determine v, given that l(v) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 6:15 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42828 is divided by 97?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l + 7. Give g(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*s - 31, 8*s - f = 4*s - 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 310735513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**2\/9 - 26020*j\/9 + 12282296\/9 = 0.\nAnswer: -6947, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (83\/166)\/(2\/28). Let b(w) = -w + 1. Let i be b(1). Sort i, 2, v in descending order.\nAnswer: v, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l - 18. Let n = -21 + 30. What is the units digit of t(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/2)\/(1\/(-2)). Let b(s) be the first derivative of -s**2\/2 + 7*s - 93. Give b(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 3*h**2 + 14*h - 17. Let u be y(5). Determine g so that 18\/5*g**2 + 2\/5*g**4 + 2*g**u + 14\/5*g + 4\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -333 + 337. What is the third biggest value in r, -3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdzrzzddfzzzrzzzfc. What is prob of picking 2 d?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 68. Let 1\/2*j - 1\/2*j**4 - 3\/2*j**2 + s + 3\/2*j**3 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 295*l - 1010. Let c(r) = -r**2 - 295*r + 994. Let y(t) = -5*c(t) - 4*u(t). Factor y(g).\nAnswer: 5*(g - 3)*(g + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -11 + (-12 - (-19 - -3))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0052 or 9010?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 8 (b) 5 (c) 12\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(-23*y - 4 + 70 + 22*y) to c*y + d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgjjjbgjjbjjjjj. Give prob of sequence gj.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4800 and 2700.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (464\/(-3480))\/(((-7)\/(-7))\/(((-75)\/(-42))\/(-5))).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -25. Let p = 79 + -392\/5. What is the third smallest value in p, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 21*r + 3. What is s(-2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1133026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -30*p**2 - p + 1. Let v(x) = x + 56. Give q(v(w)).\nAnswer: -30*w**2 - 3361*w - 94135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.796 and -0.5?\nAnswer: -0.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 250 + -234. Solve -11*f = -7*f + q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(343) - -3*(1 + sqrt(343)))**2 + sqrt(343) - ((1 + sqrt(343) + 0)**2 + sqrt(343)*-2*5).\nAnswer: 231*sqrt(7) + 5151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/15 and 29\/25?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -515022, -1?\nAnswer: -515022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 = -3*m - 6, -8 = -3*m - k. Sort m, -0.3, 17 in increasing order.\nAnswer: -0.3, m, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 105. Let c(q) = 2*q + 104. Let s(t) = -6*c(t) + 7*k(t). What are the prime factors of s(-9)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2337?\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 341 and 75460.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -707, -708, -709, -710?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9247 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 + 109 = 3*t. Factor -35*h**3 + 3*h**4 - 16*h - t*h + 80*h**2 + 5*h**3 + 48 + 19*h**2.\nAnswer: 3*(h - 4)**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/(1\/3). Let c = 4 + -1. Suppose 0 = n + c - 4. Solve -i - n = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -90, -491, -1578, -3693, -7178, -12375?\n\"Answer: -57*j**3 - j**2 + j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2663984 or -69263579\/26?\nAnswer: -69263579\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7926 less than -16.6?\nAnswer: -7942.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 8*a**2 + 6*a - 5. Let v be j(-7). Let q(i) be the first derivative of i**v + 0*i - 2\/3*i**3 + 1. Factor q(b).\nAnswer: -2*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -13*k. Let a(b) = -b**2. Determine a(f(h)).\nAnswer: -169*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:45 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-735)*7*4\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4788191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 5)*(5*b**2 - 4*b**2 + b**2)*(2*b**2 + 3 - 3) + 0 + 0 - 4*b**4 to the form s*b**2 + v*b + f*b**3 + p + k*b**4 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6809 (base 11) to base 16.\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 4:09 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + 0.03. Let j = 4.43 - k. Let p = j - 4. What is the closest to p in -1\/2, -4, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19475*t**2 - 38847*t**2 + 19374*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2384904 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.4 + 57.6. Which is smaller: s or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(88\/(-275))\/4.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-3) - 1)\/1. Suppose -g - y - 2*y + 23 = u, 70 = 2*g - 2*y. Suppose t - g = -t. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**4 - 10056*o**3 + 40180*o**2 - 50208*o + 20080 = 0. What is o?\nAnswer: 1, 2, 2510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001169 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -224*y**3 - 60 + 27*y - 24*y - 5*y**4 + 222*y**3 to the form p*y**4 + g*y**3 + o + m*y + z*y**2 and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -133, -404, -939, -1828, -3161, -5028?\nAnswer: -7519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(14\/5))**36*(u**32)**(19\/2))**35 assuming u is positive.\nAnswer: u**14168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1424181449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(3888))\/sqrt(9))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + (1 + sqrt(539) + 0)*-1*6)*-3.\nAnswer: 21 + 126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03651 times 0.4?\nAnswer: 0.014604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/(5\/(-3)). Which is the third biggest value? (a) 4 (b) 2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 599, 600, 601, 602?\n\"Answer: g + 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-16))\/(j*j**(-1\/4)\/j*j*j)*j**(-4)\/(j**(3\/2)\/j))**(-5) assuming j is positive.\nAnswer: j**(-215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.11 - -4.11. Let t = 2.736 - w. Let y = 0.064 + t. What is the third biggest value in -2, y, 1\/5, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52653 is divided by 233.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1643151, -3286330, -4929509?\n\"Answer: -1643179*j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 - a - 1. Let d be l(-1). Suppose d*c + 3*c = 10. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 172979 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 66.3*-0.492\nAnswer: -32.6196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -731853\/5 + 146370. Let o be 74\/90 - 4\/18. Put k, -5, o in decreasing order.\nAnswer: o, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) 8500\/9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h = 267768712 - 740124911 - 600173801. What is h rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o**3 + 2*o**2 - 5*o + 11. Let n be a(-5). Let u = n + 3051. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/90 and 63\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 14*w**2 + 13*w - 27. Let t be y(-15). Factor -5*z**4 + 6*z - 9*z**2 - 16*z + 2*z + 10*z + 12*z**t.\nAnswer: -z*(z - 1)**2*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 180\/(-140)*42\/(-9) + 4\/(-4). Suppose 4 = h + 1. Suppose 5*m**h - 4*m - 5 - m - 2*m**4 - 5*m**5 + i*m**3 - 3*m**4 + 10*m**2 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 5*z**2 - 2*z - 4. Let d be v(-5). Suppose 0 = -d*b + 242 + 94. Calculate the highest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*k - 1264 - 815 = 0. Solve -5*r + 54*j - 51*j - k = 0, -j = -2*r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 6. Let o(t) = 628 + 627 - 2505 + 625 + 624. Give -2*h(q) - 10*o(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p*p*p*p**(1\/3)\/p*p)\/p)*p*p)**(-1\/52)*p*(p*p*p\/(p**(2\/7)\/p))\/p*p**(-2\/17))**42 assuming p is positive.\nAnswer: p**(66887\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 32 - 10 = 0. Solve 0 = -5*n - 5*m - 35, -2*m + 17 = 4*n - d*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110 - -111101111000011110?\nAnswer: 111101110111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5*a**(2\/3)*a\/(a**(-2)*a*a)*a*a**6 assuming a is positive.\nAnswer: a**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/6 and -43\/68644?\nAnswer: 205932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 540 and 267.99.\nAnswer: 144714.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/32 + 31\/96. Let f(o) be the third derivative of 0*o**3 + 0 - o**2 + 1\/60*o**5 + 0*o + w*o**4. Find the second derivative of f(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(325) + 1*sqrt(325)*6 + sqrt(325)))**2.\nAnswer: 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 5*d + 5*f - 26, -5*d + 4*f = -141. Let y = d + -5. Is y a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - -5*(sqrt(304) + 0)) + 1)**2 + 2.\nAnswer: 48*sqrt(19) + 10947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 8*w - 4 = 0. Let b(m) = 12*m + 199*m**w + 94*m**2 - 14*m - 2. Is b(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven halves of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*m + 13*m + 37*m + 30*m as x*m + o and give x.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -40*k. Let l(a) = -25272*a**2 + 1. What is l(t(g))?\nAnswer: -40435200*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q - 2*q - 4)*(3*q + q - 3*q).\nAnswer: -3*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154060 divided by -4.\nAnswer: 38515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3 - 0) + -1 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -308 + 152*a - 24*a + 307 - a - 2*a - a + (2*a - 2*a - 2*a)*(-2 + 3 - 2) in the form b*a + d and give b.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, 1194, 0.1?\nAnswer: 1194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 15*r + 60. Let m be n(-4). Solve m*o - o = 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*d - 1008, -3*h - 3*d - 190 = 815. Let n = -300 - h. Solve -n*i + 33*i = -15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2599 + 1836. Let r = -1567\/2 - k. What is the common denominator of r and -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2289.\nAnswer: 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.997 - 13752.071.\nAnswer: -13751.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3985126?\nAnswer: 2, 1992563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 93\/(-4) - (-3)\/(-4). Let r be 12\/(-78) + i\/13. Is -2*(85\/r + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24365 * -326.\nAnswer: 7942990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6 = -2*n. Let s be (2 + (-20)\/8)*-6. Let k be (s + 1)\/(-4) - -3. Is k not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 27*l**2 + 23*l + 78. Let v be q(26). Solve 4*f + 3*u + 1 = -4, -f - u = v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/12*50\/16*4)\/((-8)\/(-8))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*f**2*p**2 + 20*f**2*v - 53*f**2 + 5*f*p**2*v**2 + f*p**2 + v**3 wrt v?\nAnswer: 20*f**2 + 10*f*p**2*v + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -269 + 274. Suppose i + 24 = 5*i. Calculate the least common multiple of i and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-10 + 8 + 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 - f + 5*f**2 - 3*f**2. Give r(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbfw when four letters picked without replacement from rfbcrww.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*i + 1483 + 4931 = 1233*i - 2031 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71.8 - -20.2. Let r = z - 93. Which is the third biggest value? (a) 0.7 (b) -0.4 (c) r (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*g - 0*t + 60, -t + 156 = 5*g. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*m = r - 18, 5*r + 4*m - 12 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o + 25. Let t = -5 + o. Suppose -3*l + u = -235, -4*l = -2*l - 5*u - 161. What is the remainder when l is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2616958000?\nAnswer: 2, 5, 31, 42209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -1, 9 in ascending order.\nAnswer: -7, -5, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 3, -108, 38, 4 in decreasing order.\nAnswer: 38, 6, 4, 3, -2, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5344.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 373 and 3357.\nAnswer: 3357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*j + 5065 = -2415 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-3) + 1\/3. Suppose -t*g = g + 1976. What are the prime factors of g\/(-6) - (-4)\/(-24)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*((-6)\/10 + (-5)\/750*-290). Solve 8*h + d = 6*h + 2*o, o = 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -0.9, 3\/4, 1\/5, 0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 383343.2 centuries?\nAnswer: 3833432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -196.8 - -13.8. Let t = r + 187. Which is the closest to 0.2? (a) 5\/6 (b) t (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i + 9. Suppose -4*h - 3*x = -940, 448 + 22 = 2*h - i*x. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71756101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 15, s: 3}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 times -0.5?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1223*p**3 - 6*p**2 + 6*p - 12. Let r(x) = 248268*x**3 + 1217*x**2 - 1217*x + 2434. Determine 6*r(s) + 1217*y(s).\nAnswer: 1217*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16197 is divided by 216.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, -5, 258\/71, 12?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*i - 2*i + 8, 0 = b + 4. Solve i = -z + 3 - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9431, 8649, 7349, 5537, 3219?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 + p**3 + p**3.\nAnswer: 2*p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (4 - 5)) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(-2 + (-2*(sqrt(500) + -2*sqrt(500)*5))**2 + -2) + -3.\nAnswer: 323985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 2. Let t(b) = -b + 10. Let r be t(12). Let s be z(r). Suppose 28 = s*v - 24. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37627 to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 4*q + 0*q)*(-2*q + 3*q - 2*q) + 2 - 4 + 3 - 11*q**2.\nAnswer: -13*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54741.00164016 + -0.75735984. Let u = 54716 + p. Let y = u - -0.059. Round y to zero dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 54 + 3*r - 1290*r**3 + 7005*r**3 - 5*r - 3*r**2.\nAnswer: 5715*r**3 - 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8323144 - -699469.\nAnswer: 9022613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 125*o**2 - 369*o - 320. Calculate t(-122).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -25 (b) 0.04 (c) -185.77 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdy when three letters picked without replacement from yeydreedx?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (6 + -2 - 5)) + (4 - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -11. Suppose 4*z = 2*p - 4*p + 2, k*z = -5*p - 2. Suppose 0*r - 3 = -3*r - 3*n, 15 = 5*r + 3*n. Calculate the least common multiple of z and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 = 2*j - 7, 4*g = 0. Let y(l) = -2 + 851*l - 844*l + 5*l**3 - j. Let z(w) = 2*w**3 + 2*w - 3. What is -2*y(i) + 7*z(i)?\nAnswer: 4*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8220000 rounded to the nearest one hundred thousand?\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*z - 79*z - 69*z + 39*z - 22*z as j*z + i and give j.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 1. Let f(x) = 16*x + 2. Let s(a) = -6*a - 1. Let j(k) = -2*f(k) - 5*s(k). What is j(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4*t - 2 + 4 + 8 to k + x*t and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, -1, -364 in ascending order.\nAnswer: -364, -11, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 21. Suppose 3*u - 2*s + 43 = 0, u + 48 = -3*u + 5*s. Let d be i(u). Suppose y = -d*h - 3*y + 688, 5*y - 683 = -4*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {m: 1, g: 1, p: 1, o: 1, j: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 25*m - 12. Give x(-25).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 910102 to the nearest ten thousand.\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 201 from -94.7.\nAnswer: -295.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/2639 and -29\/98.\nAnswer: 36946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*r**4 - 4*r**2 + r**4 + 23*r**2 - 6*r**4 + 50*r**6 wrt r?\nAnswer: 6000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 50*t**2 - 4*t - 292. What is the hundreds digit of o(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 2 - 3*-1. Let p be (-1 + a)*4 - 0. What is the highest common divisor of p and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242459338?\nAnswer: 2, 11, 17, 193, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-8 - -2 - -6) + -14 + 9 + -128\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 214 + 298 - 155. Give o(0).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1059*n - 2 - 963*n + 2 - 85*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -774 + 778. Suppose -g*n = -d - 2931, 0*d = 3*n + 2*d - 2212. List the prime factors of n.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(136) - (sqrt(136) - sqrt(136)*-2)))\/sqrt(8).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143584 is divided by 143194?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1551063*g**6 + 2007618*g**2.\nAnswer: -186127560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o*o*o\/(o**2\/o))\/o)\/o**(-2\/5) assuming o is positive.\nAnswer: o**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**3*u + 4*l**2*u + 894*l*u**2 + u**2 + 908 wrt l?\nAnswer: -3*l**2*u + 8*l*u + 894*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 648 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1758 - 43952\/25. Which is the third biggest value? (a) -2\/15 (b) -1\/2 (c) -4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4 + 74*v**3\/5 - 62*v**2\/5 - 666*v\/5 - 252\/5 = 0?\nAnswer: -7, -3, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 11*r - 41*r = -56*r - 1197 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 2*m. Suppose 3*w = -0*w. Let z be t(w). Solve 1\/2*o**4 + 0*o**3 + z*o + 0 + 0*o**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -1\/2*x**3 + 0 + 0*x - 8*x**2 - 3\/8*x**4. Let a(n) = -n. Let i be a(-2). Let p(j) = 4*j + 1. What is i*r(o) + 5*p(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.24 + -0.24. Let d = -15 + r. Suppose -4 + 7 = -3*m. Which is the closest to m? (a) d (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 5*i**2 - i - 10. Let y(f) = 2*f**3 + 10*f**2 + f + 20. Let n(h) = -9*o(h) - 4*y(h). Calculate n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*20\/84 + 1\/(-3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42993108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466666 is divided by 257?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 4) + 3 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 52690 = 5*x + 3*h, 2*x + h - 21072 = 0. Let g = 23234 - x. Round g to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138642180?\nAnswer: 2, 3, 5, 2310703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 976*t + 990*t - 2047*t - 3159 = 0 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 34 = -3*y. Let v = y - 17. Let i = 1 + 0. Which is bigger: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-219)\/(-228) - 1). Suppose 0*r + j = 4*r. Suppose 2*m + y - 55 = 17, 0 = m + 5*y - 18. What is the highest common divisor of r and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.91 + 0.21. Let t = 0.81 + -6.11. Let x = t + k. What is the second biggest value in -1\/4, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -63*n**5 + 41255*n**4\/2 - 1949361*n**3\/2 - 1352017*n**2 - 429756*n = 0. Calculate n.\nAnswer: -6\/7, -1\/2, 0, 59, 2428\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 1*-1)\/((-74)\/(-740)). Suppose -4321 = m*v - 16001. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -5)\/((-4)\/(-8)). Let x(l) = -l**2 + 8*l - 3. Let m be x(u). Calculate the remainder when 37 is divided by (-16)\/(-24) - 37\/m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -15. Suppose 0*d - 4*f = -5*d + 24, 5 = -5*f. What is the second derivative of d*l + v*l**2 - l**4 - 21*l**2 wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j = -114. Let f be (-4 + 1)\/((-18)\/(-132)). Let d = j + f. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*s - 11, -3*s - 3 = -6*s + 3*w. Suppose -4*h + s*h - 46 = -2*z, 35 = z - 5*h. Solve -y = 4*y - 4*o + 13, 5*o + z = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/3 - 217936*u**2\/3 + 1961546*u\/3 - 4359080\/3 = 0.\nAnswer: -108977, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, q: 2, f: 1, u: 9}. What is prob of picking 2 p and 1 u?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 7) in base 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.8491 + 4416608.\nAnswer: 4416566.1509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 - -0.2. Let z = -0.4 - k. Let v(y) = y + 5. Let d be v(-5). Which is the closest to z? (a) d (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a factor of 9615563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-119))\/((-2)\/(-4)). Let w(s) = -s + 1. Let y be w(1). Suppose y = 11*q - 16*q. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201 divided by 67.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20618362 is divided by 15017?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**2\/2 + 840*o - 352800 = 0.\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 5*i**2 + 4*i - 6. Let p be a(-6). Is 147\/6*p\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*o - 32 = 0, 5*x + 4*o = 3*x. Suppose -41*t = -37*t. Suppose p + t = -k + 2, -3*k + 10 = 4*p. Solve u + x = p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k - 2. Calculate the least common multiple of 1 and z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1936 is divided by 469?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.215 + 0.263. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10237, -20508, -30913, -41518, -52389, -63592?\n\"Answer: -11*o**3 - o**2 - 10191*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is aa (base 14) in base 6?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/2)\/(40\/8)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -316265 (base 9) to base 5\nAnswer: -22011203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14456 is divided by ((-8)\/(-6))\/(68\/51)*241.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4433411100 to the power of 1\/2, to the nearest integer?\nAnswer: 66584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9933463, -9933452, -9933433, -9933406?\n\"Answer: 4*d**2 - d - 9933466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-r**2 + 6*r**2 - 2*r**2) + (-3*r + 0*r + 5*r)*(-19*r + 17*r + 10*r).\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141 and 25239?\nAnswer: 25239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 = -75*c + 572 + 426 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 11. Let o(n) = -524*n + 991. Let a(w) = -2*j(w) + o(w). What is the derivative of a(p) wrt p?\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/20 + i**3\/5 - 3*i**2\/10 + i\/5 + 11. Determine m so that g(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323969433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 4*y + 1. Let k be (-8 - -1)\/(3\/(-9)). Suppose 3*u - 6*u = k. What is the tens digit of l(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 + 2*k**5 - 2*k**5 + (-k**2 + k**2 + k**2)*(4*k**3 - k**3 - 4*k**3).\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014603 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-97 - 12) + 8 - -69?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5127385 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1471091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3\/5 - 106404*p**2\/5 - 1063676*p\/5 - 957276\/5 = 0 for p.\nAnswer: -26591, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 215, 211, 205, 197, 187, 175?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -2*u**5 + 5*u**4\/6 - 20*u. What is the third derivative of l(r) wrt r?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-169 + 234 - 135)*(-1 + 3 - 1)*(-2*m + 6*m + 3*m) to i*m + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 910, 2049, 3644, 5695, 8202?\nAnswer: 11165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 248 - 303 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, g: 13}. Give prob of sequence bggb.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3581 and 0.142?\nAnswer: 0.0508502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5848301 or -5848302?\nAnswer: -5848302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 12 + -1 + -4 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9744 + -5794. Suppose 86*w - 767 = 85*w + 4*h, -5*w - 3*h + d = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/20, -1\/2, 85, 4\/9 in increasing order.\nAnswer: -1\/2, 1\/20, 4\/9, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -3. Solve -2*h = 5*m - h - 18, -2*h = -u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 equal to -295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8324 by 2081.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*q + 71*q - 153*q + 7448 = 0 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -586 - -588. Find the third derivative of 10 + 10*s**o - 8 + 22*s - 95*s**3 + 13*s - 35*s wrt s.\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Let h(n) = 205 - 329 + 124 - 1575*n**2. Give q(h(z)).\nAnswer: -4961250*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 + -14)*44\/3. Let k = g + 42. Let o = 12 + k. Solve 4*c = -c + o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 10 + 1 = 0. Suppose -f - 6 = -3*q - 0, -2 = -q. Put -2, g, f in decreasing order.\nAnswer: g, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98.7 + 99.137. Let o = q + -0.037. Let c = -0.3999765 + o. Round c to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*z + 4*o, -z - 1 - 3 = -5*o. Let j be ((-3)\/3)\/(z\/(-4)). Suppose x = -x + j. Is 11\/6 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 245 = -221. Solve 0*w**2 + 1\/3*w + 1\/6 - 1\/3*w**u - 1\/6*w**4 = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(187) + sqrt(187)*-2 + sqrt(187) - sqrt(187)))\/(sqrt(275)*-1))**2.\nAnswer: 68\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q - 66. Let b = 37 + q. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-9))\/((-380)\/(-228))*-15*(-1)\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rev when three letters picked without replacement from eaaaaavaaraeraeeavv?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 13*i - 2. Suppose 8*o - 56 = -3*x + 3*o, -o = 3*x - 40. Let h be a(x). What is the remainder when 45 is divided by (-4)\/h + 310\/25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 4*p - j + 21, j = -4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddzdnvdnkdznkvdndndv. What is prob of sequence zd?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*u = -375 - 3585 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 20*w - 21. Determine l(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92497262?\nAnswer: 2, 11, 13, 37, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28484 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**4\/12 - 7*p**3\/3 + 5*p**2\/2 + 8*p. List the prime factors of x(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-9\/11)*s*s**(-7\/5)\/s)\/((s*s\/(s*s*s\/s**(-15\/8)))\/s**10) assuming s is positive.\nAnswer: s**(5849\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5 + 6 = 0. Let f(q) = -10*q - 1. Let z be f(t). Let o(w) = -w + 7. Calculate the remainder when 33 is divided by o(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 194\/(-10) + 1030 + -1009.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2.2. Let b = 0.3 + n. Let x = 4 - 4.5. What is the second biggest value in -0.3, b, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110000111 (base 2) to base 11.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*w = 603*w - 96*w + 3916 + 8484 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29656 is divided by 675?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -19, 70, 2, -33 in ascending order.\nAnswer: -33, -19, 2, 17, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -44, -82, -104, -92?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/17 = 8445916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 - 6 - 16\/(-24).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/(6435\/(-156)))\/((-21)\/6).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(275) - (sqrt(275) - (3 + 1 + sqrt(275) + sqrt(275)))) + -5)**2.\nAnswer: 2500*sqrt(11) + 28125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1196 + -1187. Solve 4 = -2*i, 0 = -3*r + 8*i - n*i - 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 54*o + 1254. Calculate t(-18).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(475) - (sqrt(475) + -1*(0 + sqrt(475))))*2 + 1 + sqrt(475) + -2 + -3 + -5)**2.\nAnswer: -360*sqrt(19) + 4419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1205073 - -1204944.0059. Let u = -128.878 - 0.122. Let p = v - u. What is p rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1246618\nAnswer: 1\/1246618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from dnddneneednned?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 2 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9391*g**2 - 2 + 0.\nAnswer: 9391*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 0*b - 4*b + 0*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17354, -17159, -16966, -16775, -16586, -16399, -16214?\nAnswer: -16031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by 4.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123 - 126.05. Let i = -0.05 - m. Let q = -2.999968 + i. Round q to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5042484025.\nAnswer: 5, 31, 311, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + -133. Let v = 59.72 + w. What is v rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 9 = 2*b - i, 0 = -3*i + 3. Suppose -2 + b = w. Let s be 4\/(-24)*w\/(-5). Sort -0.03, s, 2 in descending order.\nAnswer: 2, s, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99357 and 147.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9733299 is divided by 2466?\nAnswer: 2463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16218.\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-2 - 156)*12\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2312 and 89\/340.\nAnswer: 11560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**4 - 14870*y**3 + 8435*y**2?\nAnswer: 24*y - 89220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 279772 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: Let s(p) be the first derivative of 2*p**5\/65 + 4*p**4\/13 + 10*p**3\/13 - 4*p**2\/13 - 40*p\/13 - 152. Determine q so that s(q) = 0.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 8 + 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -6 - -59) + -14 + -2 + 10.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 71 = 5*m, 0*n = 4*n - m + 77. Let v = -236 + 219. Let f = v - n. Solve 0 = -4*s + 12, -f*z + 5*s - 16 = 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-2 - 0)*-1. Let n = -128 + 220. Let z = n - 88. Sort z, -5, v in increasing order.\nAnswer: -5, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 4*s**2 + 3*s - 33. Let n be h(5). Let g(f) = -f + 366. Is 18 a factor of g(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*o - 55, -2*o - 15 = 3*f + 4. Let x be o\/(-10) - ((-42)\/35)\/2. Solve 3*z - 2*z = 4, -2*q = -2*z + x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 at most -0.057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/8712924 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 1\/3, 46, -4\/7, -708\/5.\nAnswer: -708\/5, -4\/7, 1\/3, 5\/4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2275475, -2275480, -2275485, -2275490?\nAnswer: -2275495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739 is divided by 93?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 3*b + 4*b)*(0 + 1 + 0) + ((3 - 4 - 2)*(1 - 1 - 1) - 3 + 3 + 5)*(3*b + b - 2*b) to p + v*b and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2498 and 202012.\nAnswer: 504625976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 74, 67, 60, 53, 46?\n\"Answer: -7*x + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3\/2*f**2 + 3\/8*f**3 + 9\/8*f = 0. Calculate f.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 9, -3, -37, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 0*t**2 + 0 - 1\/35*t**5 + 1\/105*t**6 - 4*t + 2\/21*t**3 - 1\/42*t**4. Factor g(r).\nAnswer: 2*r*(r - 2)*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*z = 32, p = -4*p + 5*z - 65. Let y be ((-4)\/p)\/(3\/15). Solve -y*g - 2*n = 2*g - 16, -4*n + 16 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20613004?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -5 - -49)\/((-1)\/1). Let a = -50 - b. Let y(l) = -5*l - 18. Let g(o) = o + 1. Let x(u) = 4*g(u) + y(u). What is x(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*m + 1628, -m - 3*p + 0*p = -413. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f1 - -3bb4?\nAnswer: 3ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by -3 + 0 + 11 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((-1)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*p**5 - 718*p**3*v + p**2 - 6*p*v + p - 8*v wrt p.\nAnswer: 300*p**2 - 4308*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5 - 3558*l**4 - 262542*l**3 - 6304018*l**2 - 45541680*l + 52111800 = 0. Calculate l.\nAnswer: -1703, -30, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.39 - -0.71. Let s = i - 3. Let k = -1.4 + 0.9. Which is the second biggest value? (a) k (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 1866?\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 2 - 2)*(2 - 2 - 1) + (-j + 3*j - 6*j)*(2 - 5 + 4)*(-15 - 15 + 12)*(3 + 2 - 3) to the form h*j + g and give h.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880981.\nAnswer: 880981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 26*u + 34. What is t(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84021.86 litres to millilitres.\nAnswer: 84021860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - d + 4. Let x be a(3). Let i = x + 36. Suppose j - 45 = -i. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byyy when four letters picked without replacement from {y: 11, b: 3}?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-97*1)\/(5*(-4)\/60*(-249)\/(-83)).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y**2\/7 - 5574491*y - 8671430\/7.\nAnswer: -(y + 4335715)*(9*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 19, f: 1}. What is prob of picking 2 f and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 170\/45 - 2\/(-9). Let r = -35 - -37. Suppose -d - s = r. Put -2, -4, d in decreasing order.\nAnswer: -2, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iirn when four letters picked without replacement from {r: 1, i: 5, h: 2, c: 1, n: 3}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 904559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, w: 2, l: 10, v: 2, m: 1}. What is prob of picking 1 l, 2 f, and 1 v?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = -4*c - 0*c, 4*h - 3*c = -8. Let t = 428 - 429. What is the closest to t in -13, -2\/15, h?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - 3*c + 8*c - 3)*(3 - c - 3) to r*c + j + z*c**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3484014*j**3*l - j**3 + 21*j**2*l + 11386401*j - 2 wrt l.\nAnswer: 3484014*j**3 + 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 2*w**2 + w + 1. Let c be j(3). Let x(g) = -g**2 + 1. Let l(q) = 6*q**2 + 106 + 59*q - 60*q - 111. Determine c*x(h) - l(h).\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 262996084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1209138 and -31\/819.\nAnswer: 47156382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7091 not equal to -7089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 96*w = 8*w + 2226 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15558*d - 235816 = 7136*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 - 350 + 350.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h*m**2*z + 585429*h*z**2 + 14*m**2*z**2 + 2*m*z**2 + 2*m - 11*z**2 - 996 wrt h?\nAnswer: 3*m**2*z + 585429*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 4}. Give prob of picking 1 u and 1 a.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -5*m**7\/42 + 10*m**6\/3 - 129*m**5\/4 + 665*m**4\/6 + 80*m**3\/3 - 960*m**2 + 7*m - 13. Determine h so that i(h) = 0.\nAnswer: -1, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -98. Let q = j - 55. What is the nearest to 2 in q, 3\/2, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 2*x + 2*x)*(-x + 4*x - 4*x) - 11*x**3 + 5*x**3 - 4*x**3 + 0*x**3 + 0*x**3 - x**3 + (1 - 1 + 2*x**2)*(-2*x + 0*x + x) + 4*x - 4*x - x**3.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpw when three letters picked without replacement from {w: 2, y: 3, x: 3, h: 1, j: 1, p: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 5*y - 5. Let q = -8 + 13. Is n(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-157)\/471*(-84)\/(-2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b077 (base 15) in base 8?\nAnswer: 110565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 - 4*t**2 + 4*t. Let p(z) = -5*z**3 - 7*z**2 + 7*z. Let c be (21 - 0)*16\/(816\/(-17)). Calculate c*h(n) + 4*p(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 6*i - 6. Let r be v(3). Solve -r*u + 6 = 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 37 - (10 + (-4 - 0)). What is the greatest common divisor of 217 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/7))**(4\/25)*(((o**(-5)\/o)\/o)\/o)\/o**(1\/4))\/(((o*o**(-3)*o)\/o)\/o**(1\/5)*o*o*o\/o**0*o*o*(o\/o**(-4))\/o) assuming o is positive.\nAnswer: o**(-2091\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 11 = -26 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*m + 83*m + 237276 = 70*m. What is the remainder when m is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/285*(-351)\/(-4 + 13)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - m**2 + m + 1. Let k(d) = -3*d**3 + 4*d**2 - 4*d + 6. Give k(l) + 2*w(l).\nAnswer: -l**3 + 2*l**2 - 2*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 199767837 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 72, 80?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3755934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-2))\/(21\/28). Suppose 9 = p - b. What is the second derivative of 14*g**3 + 685 - 685 - p*g wrt g?\nAnswer: 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10220102222101 (base 3) to base 8.\nAnswer: 7725466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 4*b**2 + b - 2. Suppose 8*z = 19 - 3. Suppose -23 + z = -7*k. Determine y(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73104 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c. Let d(v) = v**2 - 13*v. Let i be d(0). Let u(x) be the second derivative of 1\/3*x**3 - 2*x + 0*x**2 + i. Determine r(u(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 8. Let g(c) = 6499999*c - 1. Let a be g(z). What is a rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87870000 rounded to the nearest one million?\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 5, -0.4, -51, -1, 53073, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1\/8 (c) -8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 6 - 0, 3*h - 4*m - 306 = 0. Suppose 5*q + 13 = h. Calculate the greatest common factor of 187 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1090*u + 8384*u - 147988 + 553128 = -1326*u for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8964738.000251 - -8964577. Let t = q - -161. Round t to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -39. Suppose -z*u - 3*c = 9, 16 = -3*c + 1. Suppose s + 221 = 4*m, 5*s - 61 = -u*m + 66. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 10*q + 4. Let b = -23 + 13. What is the units digit of o(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**3 + 900548*a**2 + 50692521824*a + 658850599888 = 0.\nAnswer: -112562, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -34*k**2 + 16*k - 15. Let b be w(-12). Let x = b + -9897. Round x to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 212.2 - 202.2. Which is the closest to 0.2? (a) 3\/8 (b) -1 (c) -2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-8))\/(3\/6). Let t(x) = -3*x. Let z be 4\/14 - (-74)\/(-14). Let v(y) be the third derivative of y**4\/12 + y**2. Give h*t(w) + z*v(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + n**2 + n**2 + (-2 + 2 + 2*n)*(6*n - 3*n - 5*n) + 2*n**2 + n**2 - 4*n**2 + (0 + 1 - 2)*(-n**2 + 1 - 1).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -17b666d9?\nAnswer: 17b666da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 756*r**2 + 1528*r.\nAnswer: -4*r*(r - 2)*(r + 191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50663575.\nAnswer: 5, 761, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 at most as big as -0.24073126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q + 5. Let s be b(8). Factor 10*w + 35*w**3 + s*w**2 + 4805 - 4805.\nAnswer: 5*w*(w + 1)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/18*(-10)\/(-210)*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56 - -85) + -18 - 200?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 1067623304*p + 1067623304*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -42*j + 67. Let u(s) be the first derivative of s**3 + 3000. Give o(u(a)).\nAnswer: -126*a**2 + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -18.7. Let z = c - -0.4. Let h(k) = 2*k**3 + 4*k**2 + k - 2. Let s be h(-2). Put -2, z, s in increasing order.\nAnswer: s, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(4650\/(-240))*(2\/(-2))\/(-1)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*x**2*y**5 + 20*x**2*y**4 + 14*x**2*y**2 - 3*x**2*y + 6*y wrt y?\nAnswer: -300*x**2*y**2 + 480*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10749*x**2 + 3*x - 3*x + 4621*x**2 - 1 + 18230*x**2.\nAnswer: 33600*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.013642\nAnswer: -0.054568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1627*g + 92675 = 58*g for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440*-0.81321.\nAnswer: -357.8124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(450)*2)\/(sqrt(1440) - (sqrt(1440) + -1*sqrt(1440)) - (sqrt(10) + sqrt(90))*5))**2*2.\nAnswer: 405\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -492. Let t = w + -505.9998641. What is t rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j**4 + 11708*j**3 + 20162*j**2 - 41912*j + 10056 = 0.\nAnswer: -3, 2\/7, 1, 838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7 + 3 + 4*h + 1 + 3 + 3. Let k(c) = 1. What is 3*k(o) - x(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/4085 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -z, -3*z - 1 - 1 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*c = -28*c - 379 + 7309. Sort 3, c, -5 in ascending order.\nAnswer: c, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4468783792 to the power of 1\/3, to the nearest integer?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 55*b**2 - 4*b - 4. What is the units digit of q(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563062*n**2 + 1333*n**3 - 1327*n**3 + 563061*n**2.\nAnswer: 6*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1208 + 44*v - 1218 + 3325 - 899.\nAnswer: 44*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 417720?\nAnswer: 417719.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -39\/2. Let k = 14546 + -14549. Which is the third biggest value? (a) o (b) -0.2 (c) 2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 548.\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5 - 25450*j + 25451*j + 26. Let t be f(-4). Solve -3*z + t + 4 = -5*u, 8 = 4*z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(2*q + 0*q - 8*q + 3*q + 0*q - 7*q + 0*q + 3*q - 4*q + (1 + q - 1)*(2 + 4 - 4)) as p*q + f and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*s - 2, 3*s - 4*a = a. Let t(k) = 4*k. Suppose -p = -4*j - 4, -8*j = -6*j - 5*p + 2. Let b(w) = w - 1. Determine j*t(u) + s*b(u).\nAnswer: u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*k + 1642*k = -502*k - 363*k + 436240 for k.\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 4*o**2 + 7*o - 8. Let z be j(5). What is the third derivative of -20*i**z - 2*i**4 + 6*i**4 + i**4 + i**4 wrt i?\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 28*c + 8. Let x be ((-1)\/(-4)*(44 + -46)*0)\/2. Give t(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11234\/6365 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -o - 1. Solve -o*j = -j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 2. Let g be k(2). Suppose 5 - g = -p. Which is smaller: p or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1904.9 + -1829. Let l = 363.9 - c. Which is greater: l or -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 1:05 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) -0.01 (b) -0.4 (c) -2199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 484135.7931 to the nearest ten thousand.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322312112 (base 4) to base 12.\nAnswer: b75b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4668*x**2 + x + 24634.\nAnswer: 9336*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*o - 0. What is the nearest to o in 1\/4, 1, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 25.6. Let n = 7 - f. Sort n, -4, 1 in descending order.\nAnswer: 1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 8*b + 1. Let y be u(-3). Calculate the common denominator of (-831)\/(-45) - 1\/y and -1\/57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 670.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 2*b**3\/3 + b**2 - 3*b - 778. Let d(f) = -3*f**2 - 4*f + 5. Determine 3*d(u) + 5*w(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**2. Let c(s) be the first derivative of -s**5\/120 + 2*s**3\/3 + 4. Let y(x) be the third derivative of c(x). Calculate y(p(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - l + 6, -5*v - 6 = -5*l + 4. Suppose 3*c = v*c. Let k(j) = j**2 - j + 23. Is k(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 70 = -50. Suppose 4*w - 33 = -5*x, -w + 5*x = 15 + 8. Solve -2*h + c = 1, w*c - v*c - 5 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 x, and 1 g when three letters picked without replacement from gixkximp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3866292 and 1971?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*l*l*l**(-1\/5)\/l)\/(l**6*l\/(l**(-2)\/l*l)*l) assuming l is positive.\nAnswer: l**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/229 - -10742\/4809. Find the common denominator of d and 288\/(-891) + 0*1\/2.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a factor of 85640712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 4*w**2 + 193*w + 957. Determine v(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -75, -61, -47?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10*(-1300)\/1040?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49\/85 + 3\/17. Let s be (1\/5)\/(4\/8). Are s and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212201222100212 - 10221?\nAnswer: -212201222111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -582.15 to the nearest integer.\nAnswer: -582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*-34.05\nAnswer: 102.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2 - 2*d + 5 + 0 + 3*d. Let w be a(-6). Let n(k) = 3*k - 1. What is the units digit of n(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*527\/93*-1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 255097?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2380 and 338912?\nAnswer: 1694560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/52 + 1\/13. Let k = -0.7 + 0.7. Let g = -80\/13 + 255\/52. What is the nearest to k in g, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ihhw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1*sqrt(45))*-6 - ((sqrt(5) - sqrt(25)\/sqrt(45))*-5)**2.\nAnswer: -500\/9 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 3:20 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2832 - -2832. Solve 5*r - 4*c - 20 = f, -9*r + 8*r = c - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 - -76. Suppose k - 2*d - 5 = 0, -n*k + 2*d = -17 - 15. Solve 5*f + k = -1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5376, -21536, -48470, -86178, -134660, -193916?\nAnswer: -263946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1106\/3 (b) -7 (c) 13 (d) 0.3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/2120 - 3661227\/27560. Let x = 133 + y. Is 0 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13059 - 13044. Solve -3*h + o = 3*z + 30, 4*h = 5*z - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.038 - -0.038. Let q = 3 + z. Which is the nearest to -0.2? (a) 0.1 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8890\/(-5334))\/(((-5)\/4)\/((-402)\/8))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = m - 0*m. Suppose 0 = 2*d - 4*o - 122, d + 0*o = o + m. Calculate the remainder when d is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32.147*2.44\nAnswer: -78.43868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11032\/4687 - -102\/43. Is m smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 22*t**3 - 117*t**2 + 221*t + 60. Let q be o(-76). What is q rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + 2*t**3 - 4*t**3)*(-3*t**2 - 2*t**2 - 4*t**2) - 2*t**5 + 3*t**2 - 3*t**2.\nAnswer: 16*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/8 or -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2. Suppose 0*s = -u - s + 9, 0 = -4*u + s + 21. Let t(a) = a**2. Give u*t(l) - y(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065 - (15 + -23) - (-8 - -1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**7\/14 - 3*z**5\/20 - 6*z. Determine l so that m(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**7)**(-6)\/((v**(-8)*v)\/(v\/(v\/(v**(2\/5)*v)))) assuming v is positive.\nAnswer: v**(192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2642 and -0.9.\nAnswer: -2642.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4500138g to nanograms.\nAnswer: 450013800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -9449.6757.\nAnswer: 3779.87028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13 - 2 - 10 - 32 - 14*f**2 wrt f.\nAnswer: -28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 883166 (base 11) to base 5\nAnswer: 330102342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1389090\/7 or -198441?\nAnswer: -1389090\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 13*h = 34*h - 242 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 - 1. Let y be s(-1). Let u(h) = -h**2 + 0*h**y + 2*h**2 - 5 + 1. Let d be u(-3). Calculate the highest common factor of d and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 12:52 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1818 - -2150. What is the greatest common factor of 83 and c?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k**3 - 12*k**2 + 2*k - 2. Let v(b) = -30*b**3 + 21*b**2 - 4*b + 3. Give -7*q(l) - 4*v(l).\nAnswer: 15*l**3 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 65, 81, 73, 29?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 132953701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176\/264)\/(2 - 51\/27).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -33203?\nAnswer: 33203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 780 and 588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -238195 - -238205. Let d(v) = 15*v**2 - 1. Let u be d(-1). Solve -3*c - i = -m - 0*m, c = 3*m - u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 11:04 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 7*r**2 + 23*r + 12. Let t be f(9). Which is greater: t or 55?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.928312 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**2 + 3*f**2 - 11*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*f**2 - 46*f**2 - 51*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:10 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 2}. What is prob of sequence ld?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1505*z - 13 + 1506*z - 23)*(4*z - 4 - 1 + 0).\nAnswer: 4*z**2 - 149*z + 180","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 1. Let p(w) = -2*w + 17. Let z(l) = -5*l + 38. Let b(q) = 9*p(q) - 4*z(q). Calculate 3*b(m) + 4*r(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13300 or -4\/53?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 457, 434, 421, 418?\n\"Answer: 5*j**2 - 38*j + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w**3 + 5*w**2 - 22*w + 5. Let l(z) = -z**3 + z**2 - z + 1. Let p(v) = -5*l(v) + t(v). Find the second derivative of p(u) wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (0 - -2)) + 3. Suppose s*d = l + l - 3, -4*d + 7 = l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 17*l**2 + 7*l**2 + 0*l to the form q*l + f + u*l**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*-168747\nAnswer: 18562.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/9 - -8\/45. Suppose -14 = -2*k - 2*g, 0*k - 2*g = -3*k - 4. Sort 2\/13, k, p in descending order.\nAnswer: k, p, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 12*m - 37. Calculate x(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 t, 1 e, and 1 p when four letters picked without replacement from {e: 3, p: 1, t: 2, d: 1, m: 1, o: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10) + 16*5586\/36960.\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + c - 1062254, -5*c - 212430 = -2*u + u. Suppose 2*h + 91550 = -u. What is h rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 4*v**2 + 5*v - 4. Let y(b) = b**3 - 4*b**2 - 39*b - 31. What is the remainder when f(-4) is divided by y(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -165969 - -2487088\/15. Let f = c + 163. What is the nearest to -1 in 2, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(1\/8 - (-4431)\/72*1). Let c be ((-2)\/(-5))\/(1\/(-5)). Is 24 a factor of g + -1 + c - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 7)*(2*u + 8 - 8)*(-2*u + 2*u + 2*u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*y - 6*y + 12*y)*((3 - 5 + 0)*(3 + 4 - 5) + 6 + 1 - 5) to the form q + c*y and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-3)*234\/(-312). Let l(f) = -7*f + 37. Give l(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 13. Let k be 2\/(-6)*18\/48. Which is smaller: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264.2 + -261915\nAnswer: -261650.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sasvaygwg. What is prob of sequence vyws?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302398, -604771, -907124, -1209457, -1511770?\nAnswer: -1814063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, o: 3, z: 9, r: 1}. What is prob of sequence rofo?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k**2 - 5*k - 2. Let u(t) = -t**2 - t. Let y(d) = -5*u(d) + w(d). Determine y(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1109278, 1109279, 1109280, 1109281, 1109282?\nAnswer: 1109283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) -1\/11 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6*h = -3*h + 161, -h = -5. Let w = 266 + -255. Calculate the highest common divisor of w and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, b: 1, p: 8, v: 1, o: 4}. Give prob of picking 2 p, 1 o, and 1 c.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 261*r + 263. Does 73 divide s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265954861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + (sqrt(7) - (sqrt(7) - sqrt(35)\/sqrt(5)))*4 + 4 + -4)**2.\nAnswer: -32*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*u + 186, -4*w + 258 = -5*u - 105. Calculate the remainder when 253 is divided by w.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3008851*n - 5714002 wrt n?\nAnswer: -3008851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9002 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 3*j**2 - 2*j + 3. Let r be y(2). Solve -4 = 4*t - r*t - 4*a, 0 = -3*t + 4*a - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1881106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 3*d**2 + 2*d**2)*(11 + 0 - 6)*(1 + 1 - 3).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 333.7 - 318. Let t = s + -17. Let g = t + -0.7. Is g at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457429332 to the power of 1\/4, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k\/(k**(-7)\/k))\/k**(2\/27) assuming k is positive.\nAnswer: k**(322\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 66\/23, -5740\/53 in increasing order.\nAnswer: -5740\/53, 66\/23, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.9 + -0.1. Let a = -47 - v. Which is greater: a or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*g = 369 + 235. Let i = 7.5 + -7.7. Which is the smallest value? (a) i (b) 0.3 (c) 0.2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**2 + 1233 + 0*v**2 - 1226 + 40*v with respect to v.\nAnswer: 4*v + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1545 = -9130. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6248 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5903655954.\nAnswer: 2, 3, 7, 2579, 54503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-330)\/(-1012))\/((27\/(-4))\/(-3)). Let t be (-652)\/690 + 4\/(-10). Let h = t + z. Do h and 0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqom when four letters picked without replacement from ojimiooiiioqfif.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 251 or 21?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 1731*p**3\/2 - 1341*p**2\/2 - 1506*p. What is the derivative of t(l) wrt l?\nAnswer: 5193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63 in 1\/2, -0.05, -1\/4, 28, -1.56?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 224*i**5 + 2*i**4 + 257*i.\nAnswer: 4480*i**3 + 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -89*f**3\/6 + 181*f**2\/2 + 110*f - 111. Let m(h) be the first derivative of n(h). Find the first derivative of m(x) wrt x.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(728\/(-112)*2).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:53 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39036?\nAnswer: 2, 3, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.50019 to one dp.\nAnswer: 23.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2052*k - 22570. Let r be x(-11). Let 9\/5*v + 0*v**r - 3\/5*v**3 + 6\/5 = 0. What is v?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-4)*132\/165. Factor -f**2 + 131*f**3 + 12*f**4 - 6 + 33*f - 134*f**3 - 35*f**n.\nAnswer: 3*(f - 1)**2*(f + 2)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/170016*-464 + (-6)\/(-46).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weee when four letters picked without replacement from eessseeeessswwse?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*z**3 - 6*z**3 - 5 + 15*z**3 + 15*z**3 wrt z?\nAnswer: 105*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -24. Let j = u + 24. Suppose 4*o = j + 1. Solve 0 = o*b + 3*q - 1, -q - 5 = -3*b - 2*q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2679958 and 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1278, -1259, -1228, -1185, -1130, -1063?\n\"Answer: 6*w**2 + w - 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2919, 2984, 3049, 3114?\nAnswer: 3179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/4, -2893, 20 in ascending order.\nAnswer: -2893, 17\/4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*w - 2089412 = -389*w. What are the prime factors of w?\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -9*v + 83. Find the second derivative of v - 2 + 19*z**4 - 7 - 2*z wrt z.\nAnswer: 228*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -733, 2 in descending order.\nAnswer: 2, 0, -733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 21 + 7 = 2*i, -4*u - 44 = -5*i. Let g be 15\/6 + (-1)\/(-2). Suppose -7*a = -g*a - i. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/6 of a century?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -f3d75 (base 16) in base 11?\nAnswer: -622436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (6\/(-2))\/(-3). Let c be 2 + d + -1 + 0. Solve 5*f + 4 = -c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354.534839 rounded to 0 decimal places?\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 26*x**3 + 545 - 545 + 3*x**2 to the form g*x + h*x**3 + p*x**2 + z and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v + 7. Let m be q(-4). Suppose -t + m = -2*n, 18 = -4*n + 6. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 858839565 divided by 2.\nAnswer: 858839565\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/((-77)\/(-154))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319167 divided by 11821.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 + 6*q**2 + q + 1. Let g(s) = -s**3 - s**2. Determine -6*g(w) - t(w).\nAnswer: 3*w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559 divided by -3?\nAnswer: -853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 39*f - 48. Does 39 divide q(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1008*z + 134*z + 143*z + 146*z + 148*z + 147*z + 287*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26307448 to the power of 1\/2, to the nearest integer?\nAnswer: 5129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqu when three letters picked without replacement from {u: 7, t: 1, q: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 15 - 36 - 6*z**2 - 2*z**4 + 2*z to n*z**3 + u*z + x*z**2 + a*z**4 + t and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20122 + -2212112?\nAnswer: -10010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*b + 16 = 0, -3*r - 5 = -5*b - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13.3 and -34?\nAnswer: 47.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6. What is the closest to -1 in w, 0.5, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3*(-987)\/(-14). Suppose -l = -132 + j. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Let t = 28 - 0. Let p = -26 + t. Does p = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 3:41 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + f**2 - f + 1. Let o(m) = 5*m**3 - 6*m**2 + 5*m + 3. Let s(w) = o(w) - 4*v(w). Give s(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -4*m + 0 - 1\/12*m**4 + 5\/6*m**3 - 5\/2*m**2. Let w(t) be the first derivative of u(t). What is the derivative of w(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + 13*g = 55 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 52 + 2. Suppose 0 = q - 2*v + 4 - 1, 2*v = -2*q + i. Factor -b**4 - 4*b**4 + 8*b**q + 3*b**4 - 9*b**5.\nAnswer: -b**4*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a**(-7)*a))\/(a\/(a\/(a*a**(1\/6)*a))))\/(a*a**(-1\/3)*a*a\/(a**4*a)) assuming a is positive.\nAnswer: a**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiw when three letters picked without replacement from wwwwiqiiuwfww?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-3) - -25 - -2. Suppose 4*d + 36 = -0*p - 2*p, -2*p = -4*d - z. Let t be (-1)\/(-3) - d\/3. Solve -10 = -8*k + t*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 5 + (-10 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38563 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 7:36 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*m - 169*m + 9153. Solve -m*p = -104*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - 4*a)*(-140 + 282 - 179)*(-5 + 1 + 3)*(1 + 0 - 3).\nAnswer: 74*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 38. Let w = 18 + r. Suppose -3*s + 106 = 97. Solve s*o = -0*o + w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 275000 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6819894us to nanoseconds.\nAnswer: 681.9894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 + -55)\/(3 - 60\/21) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 3*t**2\/2 - 68*t + 6156. Determine r(24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68.17 + -74.7. Let m = h - -6.530000934. Round m to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175924*t**5 + 11793*t.\nAnswer: 3518480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1764 or 1766?\nAnswer: 1766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648 and 721062?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17234828.74 to the nearest one hundred thousand.\nAnswer: 17200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 3*t**2. Let c be p(-3). Suppose -15*z - 10 + 204 = 29. Is c bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 3:54 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -19550, 9836 in descending order.\nAnswer: 9836, -2\/5, -19550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5393*c - 18000.\nAnswer: -5393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 3623\nAnswer: -26\/3623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/15))**(1\/29)\/((f\/(f\/(f\/(f**(-23)*f))))\/f**(-19)) assuming f is positive.\nAnswer: f**(-18253\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18625, 18705, 18785, 18865, 18945?\n\"Answer: 80*d + 18545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -26*o**3\/3 + 10*o**2 - 4*o + 20. Let d(m) = -5*m**2 + 4*m - 1. Let b(g) = -11*d(g) + 2*j(g). Give b(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*l + 2. Let k(n) = 5*n**3 - n**2 + 4*n. What are the prime factors of k(l)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**5\/20 + 7*p**4\/12 + p**3\/3 - 2*p**2 - 3*p. What is the lowest common multiple of q(7) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 454*h - 229*h + 346 - 224*h in the form x + t*h and give x.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1634 (base 8) to base 9\nAnswer: -1236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 708147?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + 0*r)*(-2201 - 2205 + 1490*r + 4406).\nAnswer: 1490*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20852076 divided by 226653?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129\/25 + 819\/275. Find the common denominator of t and 8\/20 + 8 + -1.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, e: 3, h: 2}. Give prob of sequence ejh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456063674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 18 = c + 6, -4*c - 3*k = -12. Let s = -11 - -11. Solve s = -c*o + o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(160))\/(sqrt(320)*-2) + (-2*((-2*sqrt(288) - sqrt(288)) + sqrt(288) + sqrt(288)) - (0 + sqrt(288) + sqrt(288) + 3)))**2.\nAnswer: 3*sqrt(2) + 19\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -47*y + 853898. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535152122 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28159 - 28167 + 4*d + 84484 - 28126.\nAnswer: 4*d + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(sqrt(133)*-1 - sqrt(133)) + sqrt(133))\/(sqrt(700)*-1 - sqrt(700)).\nAnswer: 11*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145 - -1306\/9. Sort -0.01, -1\/7, b.\nAnswer: -1\/7, -0.01, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 258421*y + 2. Let z(o) = -2*o - 450. Give i(z(j)).\nAnswer: -516842*j - 116289448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 24946728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - 189. Let f = r - -106. Solve 15 = -f*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*g + 295 = 0, 2*g - 2 = 6. Suppose -728 - 361 = -9*y. Suppose -p = -3*f + y. List the prime factors of f.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*l - 54 = 0, l - 16 = -2*y - 2*l. Let g = 588 + -462. What is the greatest common factor of g and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364742644.\nAnswer: 2, 7, 1811, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/6 + 5*s**4\/2 + 13*s**3\/2 - 127*s**2\/6 + 12*s.\nAnswer: s*(s - 1)**2*(s + 8)*(s + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*q - 251 = 0, -3*s + 4*q + 267 = -486. What are the prime factors of s?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (9 - 0) + (-80530)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/35 (b) -2\/5 (c) -6 (d) 0.319632\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42064100 rounded to the nearest one hundred thousand?\nAnswer: -42100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 419\/36 + (7 - -3*(-1426)\/621) + -11\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v = -7*v - 299. Suppose 28*r = v*r - 10. Is r\/(-7) - (-1)\/(14\/1382) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 28*p + 1296 = 2*p. Let m = 157 - 87. What is the remainder when m is divided by p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 404 + -402. Let u(k) = -2*k + 0*k - 3 - 2*k + 6*k. Let d be u(4). Solve 0 = -3*i + w*i - d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*i = -37, 3*i = -k + i + 1. Which is the second biggest value? (a) 2 (b) -3 (c) k (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x + x)*(-565 + 565 - 431*x).\nAnswer: 431*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w**2 + 11*w + 39. Let g be i(-5). Suppose -g*x - 160 = -164*x. What is the least common multiple of x and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 <= 157577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10061 + 206?\nAnswer: 10300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 1. Let j(h) = -5*h + 4. Calculate j(r) - 6*k(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 15*z = 16*z - 4, 4*z - 16 = 3*m. Suppose 2*u - 4*l - 38802 = m, 0 = 3*u - 7*u + 4*l + 77616. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (10\/20)\/(4\/50312) - 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 2*d + 10. What is r(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*q + 5*k, -2*q - 14 + 0 = -3*k. Is (((-12435)\/(-60))\/q)\/(2\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -7098887.\nAnswer: 5\/7098887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 15*y**5 - 552*y**4 - 61176*y**3 + 1042542*y**2 - 2389959*y - 520182 = 0.\nAnswer: -57, -1\/5, 3, 13, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*9.17.\nAnswer: 4.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10440161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8040289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 269352 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 9*h - 3. Let x be b(4). Calculate the remainder when x\/2*6 - -8 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1454.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (138\/9)\/(1\/9). Suppose -2*g + 98 = 4*z, 0 = -3*g - z + o + 9. Let y = 42 + g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**4\/12 + 2*l**3\/3 + 6*l**2 - 139*l. What is x(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - x - 2. Let d be z(0). Let t be (d\/2)\/(9\/(-423)). Suppose 0 = l - 4*a - 13, -3*l + 3*a + t = -a. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 d, and 1 h when three letters picked without replacement from hqoohhddqoddhhdhdhh?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 7:20 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 667894\/421 at most as big as 1587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18599 - -6751423\/363. Calculate the common denominator of c and -30\/7.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 30. Solve 0 = -4*p + h + 11, 3*h = r*p - 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.695 - -0.175. Let o = b + 1.11. Let n = o + -2. Round n to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qddd when four letters picked without replacement from oqooqbdoqdqdo.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 - 4*w**2 + 17*w + 75. What is the units digit of t(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {l: 1, v: 11, q: 5, y: 3}.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*b + 20 = 160*b. Calculate the remainder when 107 is divided by ((-9)\/b + 9 + -9)*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 445569 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a347 (base 12) in base 8?\nAnswer: 617147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -70 - (114 - 85).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41213\/4092 - 4\/341. Calculate the common denominator of 145\/18 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 + 1)*(-2 - n**2 + 2) + 3*n**2 - n**2 - 3*n**2 - 7567*n - 686*n**2 + 7567*n to i + u*n + y*n**2 and give y.\nAnswer: -692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5.2, -5, 0, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-1 + 2)) + 0 + -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 - a + a + (-94*a**4 + 19*a**4 - 22*a**4)*(2 - a + 3*a + 10*a).\nAnswer: -1166*a**5 - 194*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/20 - z**4\/2 - 7*z**3\/6 + 2*z**2 - 2*z. Let v be r(7). What is the derivative of -3*q**3 - 4 - 1 + v - 1 wrt q?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 24656.\nAnswer: 147936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x**2 + 13*x**2 - 26*x**2. Let v(m) = -18*m**2. Give v(p(c)).\nAnswer: -72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 + 21*m + 25. Let r be y(-5). Calculate the highest common divisor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343104 * 426\nAnswer: -146162304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7201*p. Let q(h) = 2*h**2. Give q(k(y)).\nAnswer: 103708802*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Calculate the remainder when 49 is divided by (238\/(-35))\/(r\/(-5)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 50 - (96 - 64 - 37).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 1. Let w(z) = -z + 3. Suppose -2*f - k + 1 = 0, 0 = -4*f - 6*k + 2*k. Determine f*w(u) - 2*q(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:37 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12207936 and -1.19816057?\nAnswer: 12207934.80183943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 468 - 468 - z. Suppose -30 = -4*p - 2*p. Let o(s) = -s - p*s + 0*s + 0*s. What is o(a(k))?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 3*b**2\/2 - 18. Let f(t) = 6*t. What is f(r(a))?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -8338 bigger than -9469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12343 + 12543. Which is smaller: v or 998\/5?\nAnswer: 998\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15, -23, -31, -39, -47?\n\"Answer: -8*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**5 + 3620*y**4 + 151372*y**3 - 162212*y**2 - 309960*y = 0?\nAnswer: -41, -1, 0, 2, 945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 11. Let q be j(-13). Suppose 0 = q*i - 11*i - 140. What is the remainder when i is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48206 is divided by 7964?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/112)\/((-6)\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -67. Let x be 7\/(21\/i)*-1. Let g be (-2 + 1)\/(x\/50). Solve -u = 4*u + g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -275.74 - -273. Let q = -2.740000335 - p. Round q to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417969.8 centuries to months.\nAnswer: 501563760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 0)*(5 - 4). Let g be 1 + (-26)\/u - 4. Let m be g\/(-55) + 35\/11. Solve -4*k + k = -m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 + 105. Which is smaller: 1\/10 or d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 63 = 81. Suppose -2*s - s + o = 0. Let w(l) = -l**3 + 3*l**2 + 6*l - 4. Let r be w(4). Calculate the highest common factor of s and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5312, 10597, 15894, 21209, 26548, 31917?\n\"Answer: i**3 + 5278*i + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*s + 0 = 8, 0 = -m + 2*s + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b - 2 - 2*b**4 + 6*b**2 + 4*b + b**3 + 7*b to z*b**3 + w + d*b + g*b**4 + m*b**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 0*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110479974 + 3*t - 110479974 - t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36519100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - q - 3*q - 460 = 0, q + 4 = 0. What is the remainder when z\/(-8)*(-4)\/3 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20a68 - -15ac?\nAnswer: 22347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*r + 2*r**2 - 5 + 2*r**2 - 12*r + 7*r wrt r?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l + 36. Let y be b(4). Suppose y*q = -9*q + 6357. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*g - 4. Let q(o) = -7*o**2 - 16*o - 4. Let m(d) = -6*d**2 - 15*d - 4. Let l(f) = g*m(f) - 5*q(f). Determine l(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3064.3234 times 0.2\nAnswer: 612.86468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btt when three letters picked without replacement from ttbbbbbbbbbtbbbtbbbb.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1939 - 2.82047.\nAnswer: -1.62657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.45+-40925.3\nAnswer: -40924.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w**3 + w**2 - 1. Let t(b) = 5*b**3 - 121*b**2 + 23*b + 25. Let l be t(24). What is k(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 17*u**5\/60 - 41*u**3\/3 - 48*u. Let p(z) be the second derivative of r(z). Let l(i) = i. Determine l(p(a)).\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46850 and 27173.\nAnswer: 1358650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 8*i**2 + i - 4. Let f be b(8). Suppose 2*c - 3*s + 56010 = -8*s, 0 = -5*c + f*s - 139992. Round c to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 78.8.\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558977811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 13746.244051 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 8*t - 7. Let m be v(5). Suppose 43 = 5*i + m. Suppose 3*a - 3 = 9. Solve 1 = -f - 3*l - i, 0 = -3*f + a*l + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*v - 60662 = -16310. Calculate the remainder when v is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - k + 1. Let w be l(2). Let b(p) = -3 - 3*p + 5*p**3 - 9*p**w - 15*p**3 + 2*p**2 - p**3. List the prime factors of b(-2).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 z when four letters picked without replacement from {w: 1, z: 4, e: 1, h: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189262?\nAnswer: 2, 587, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26566623*g**2 + 59788339.\nAnswer: -53133246*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/(1290\/(-20)))\/(4\/(-1)*(-3)\/3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 + 175. Let o(w) = 40*w - 2. Let x be o(2). Suppose 2*g = -v + x, -3*g - g + 4*v = -168. What is the greatest common divisor of a and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40795 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 981 and 227.\nAnswer: 222687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3506 bigger than 3506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v + 4*k - 14 = 0, 0 = 4*v + 5*k - 28. Suppose -v*c + 0*c + 224000 = 0. What is c rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4 = r + 1, 3*r + 2*k = -19 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/((-48)\/(-7)) + 1. Let t = -0.4 - -0.3. Let g = -5.1 - t. What is the biggest value in -2, g, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-1 - -22)\/3. Suppose 3 = 3*k - p*q + 71, -19 = k + 2*q. Is 7 a factor of 1\/((-2)\/k*11\/22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (47\/3)\/(29\/(-87))*59\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 9*v + 4*n - 3977, -3962 = -5*v + n. List the prime factors of v.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/173638 and 75\/1904.\nAnswer: 9723728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 391\/6. What is the second smallest value in l, 5\/3, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x = 4*w - 73, 2*w = -5*x + 17. Suppose 0 = -y + 4*m - w, 5 - 2 = 2*y - m. Solve 4*i + 2*s - 11 = i, 4*s = y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -56*(-3)\/(4 - -2). Let v be (-3)\/(-4)*d\/(-7). Is 17 a factor of -4*2\/(v + 268\/92)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145020023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -579, -4, 1, 4, 52.\nAnswer: -579, -4, 1, 3, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10) + (-46)\/(-10). Let i(b) = 4*b + 60. Let o be i(-14). Sort d, -3, o in increasing order.\nAnswer: -3, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 29*u**2 + 111*u - 291. Determine n(25).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22970929*21\nAnswer: -482389509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 700 and 756680.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ell when three letters picked without replacement from {l: 6, f: 4, e: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdsdvdvdvvvddd. What is prob of picking 1 d, 2 v, and 1 s?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m + 140 = 0. Let g = m + 41. Let h(w) = -2*w**2 + 12*w + 5. What is the remainder when 18 is divided by h(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -333 to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4 = -1. Let d be 1\/(c*2\/8546). Let w = -25781\/6 - d. Find the common denominator of w and -21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2000)\/875 + (1 - (-2 + 1))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from {x: 3, p: 4, l: 2, v: 2, z: 3, e: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*z = -2*z + 23, 5*o - 2*z = 27. What is the lowest common multiple of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3549059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267625.\nAnswer: 5, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/70*(4 + (-15)\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(87\/36 + (-10 - 168\/(-21))) + 72.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33582 is divided by 1049.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -12 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p**2 - 5. Let g be (0\/3)\/(-1 + 0). What is q(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428\/(-84) - (-136)\/1428?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10 - (2 - (-4)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12391 and -5.\nAnswer: -12396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6328.303 millennia?\nAnswer: 63283.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18635830.30000008 + -18635831. Let p = 0.4 - -0.3. Let z = p + l. What is z rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*l + 6*l = 478, 2*o + l = 469. Let d = o + 17. Let w be (-2175 + 0 + 3)\/(3\/d). Round w to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*m - 62. Let w = -123\/4 + m. Let s = -4.12 - -4.2. Sort w, s, 1\/6 in ascending order.\nAnswer: s, 1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*l - w + 126, 29 = -l + w. Let i(k) = k**3 + 9*k**2 + 9*k + 3. Let n be i(-6). Let f = l + n. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5349 - 16*p**2 + 5349.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**6\/30 + w**5\/20 + w**4\/24 - 5*w**3\/6 - 2*w**2. Let s be t(4). Is s\/(-9) - (-2)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7241\/1470 + 341\/49. Find the common denominator of (31030\/120)\/(-29) - (-6)\/(-4) and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6*c + 44. Let i be (-110)\/4*106\/(-265). Calculate j(i).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -483 + 479.56. Let k = t + 3.44. What is the closest to k in 1, 0.5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 8. Let m = -3.4 - -0.9. Let x = h - m. What is the closest to 2\/3 in -5, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 5*d + 4. Let x be y(-5). Let q be 4\/8 + (-2)\/x. Suppose -l + q = -9. Calculate the highest common factor of l and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*r + 146 = -690*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.078 - -0.022. Let m = -4 + 6. Which is the third smallest value? (a) y (b) m (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.88 + 0.12. Let h = 51.933 - -0.067. Let t = h + -51.6. Put t, 4, o, 2 in decreasing order.\nAnswer: o, 4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 1678?\nAnswer: 1677.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + c - 3*c + 3*c.\nAnswer: c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q. Let t be f(-1). Let i = 537 + -530. Let n be (-7 + 7)*i\/(-21). Is t not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9489 - 825533\/87. Let r = g + 3\/58. Let z = 5\/4 + -1. What is the closest to -7 in z, r, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*p - 3*i + 2*i, -5*p + 3*i + 18 = 0. Factor -5*b**3 - 4*b**2 + 0*b**2 + p*b**3 - 2*b + 8*b**2.\nAnswer: -2*b*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/4 + a**3 - 26*a**2 - 2*a - 126. Let b(q) be the first derivative of i(q). Let g(t) = 2*t. Determine b(g(f)).\nAnswer: 12*f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d**2 + 5*d + 6. Let h(k) = -10*k**2 - 4*k - 5. Calculate -6*c(a) - 7*h(a).\nAnswer: 4*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 784*v**5\/3 + 52388*v**4\/3 + 190692*v**3 - 122152*v**2\/3 - 205040*v\/3 - 11872 = 0.\nAnswer: -53, -14, -2\/7, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, -560, -1556, -2950, -4742, -6932?\nAnswer: -9520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -64, -1.1, 1\/9, 1785?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/(14\/(-175))*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c + 3*c - 4*c)*(0 + 0 - 3)*(4*c + c - 4*c) as f + k*c + y*c**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/3650 and -61\/15820.\nAnswer: 5774300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6053*q + 454. List the prime factors of z(2).\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.054777672 to 4 decimal places.\nAnswer: 0.0548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 229191 to the power of 1\/2, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a century in months?\nAnswer: 18240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -28, 96, 330, 710?\nAnswer: 1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 r when four letters picked without replacement from {l: 1, w: 10, r: 4, p: 2}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 - 2*p**3 + 4*p**3 - 2)*(-17 + 12 + 10) + (-6 - p**3 + 6)*(0 - 4 + 5).\nAnswer: -11*p**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 16163926.7 to the nearest 100000.\nAnswer: 16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 14*n + 1. Let w be i(12). Let j = w + -21. Solve 5*m - 29 = 3*r, -r - 3*r = 4*m - j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**5\/30 - b**2 - 4*b. Let i(d) = 36*d**2. Calculate i(s(t)).\nAnswer: 144*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2 + (sqrt(605) - (5 + (-1*sqrt(605) - sqrt(605))) - sqrt(605) - sqrt(605) - sqrt(605)))*-3)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 9766 = 78388. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z - 34*z - 2*z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34713 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h**2 + h. Let i(r) = 5*r**2. Let u(p) = -4*c(p) + 9*i(p). Let j be u(5). Suppose -j*g = -26 - 14. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11369256 minus 3945343?\nAnswer: -15314599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -6. Let l = -686\/9 + 76. Which is bigger: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2)*(-3 - -5). Let p = -2023\/22 - -92. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 24*v + 5. Suppose 3*p - 12 = 0, -67*p + 62*p = 2*w + 26. What is x(w)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -5)*2\/5. Suppose -s*n + 2*b = -20, -4*b + 26 = 5*n - 6. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4722?\nAnswer: 2, 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nndndddndddndddddd. Give prob of sequence nndn.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.39 + -0.3. Let n = -716 + 716.0962. Let d = n - o. Round d to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2892*m**2 - 31504 + 31511 + 2684*m**2.\nAnswer: -208*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 2*v + 0*v)*(-5 + 4 + 3 + (0 + 3 - 2)*(-1 + 0 - 1) - 5 - 1 + 4) as f*v + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, 0.017, 1\/3, 0.1, -221, -35?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4536 divided by -9.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 77096740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 829426 divided by -13?\nAnswer: -63802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*g = -97*g - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 372304 divided by 351?\nAnswer: 372304\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2 - 2 + 3*j**2 + 2*j**2 - j. Let r = -2 + 5. Calculate o(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31380856?\nAnswer: 2, 13, 19, 15881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - w. Let u(o) = -o**2 - 4*o + 2. What is 2*n(a) + u(a)?\nAnswer: a**2 - 6*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2. Let y(o) = 496*o**2. Determine h(y(z)).\nAnswer: -984064*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*x - 2*u, -4*x - 4*u = u - 102. Suppose -57 = -4*d + p, -d + 7*p + x = 4*p. Suppose 5*i + 376 = d*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91712*r**2*s**3 - 3*r**2*s**2 + 2785*r**2*s + 11*r*s**3 + 2*s**3 + 11*s**2 wrt s.\nAnswer: 550272*r**2 + 66*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s\/(s\/s**(-6)*s))**32*s**(-4)*(((((s*s**(-4\/3))\/s)\/s)\/s)\/s)\/s*((s**(-2\/11)*s)\/s)\/s*s*s**(-2)*s assuming s is positive.\nAnswer: s**(-347\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 435260 != 870519\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4584783872?\nAnswer: 2, 233, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1120202000?\nAnswer: -1120202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/80 and 91\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 1. Let u(x) = -x. Let t(z) = -i(z) + 2*u(z). Let d(b) = b - 6. Let a(h) = -2. Let n(j) = 17*a(j) - 6*d(j). What is n(g) - 2*t(g)?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - (1 + -5 + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, r: 3, w: 6}. What is prob of picking 1 r and 3 l?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/180 and 127\/210?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.8. Let j be 6\/(-21) + (-1 - -72). Let w = j - 71. Which is the second biggest value? (a) k (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 3 + 6)*(5*l - 3*l - 3*l) - l - 4*l + 2*l - 3 + 3 - l)*(2*l**2 - 2*l**2 + 2*l**3) as k*l**2 + w + m*l**4 + y*l**3 + t*l and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -382477272 divided by -3?\nAnswer: 127492424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 233\/71553 + 3\/391. Let q = a - 557\/732. Let s = 2 + 0. Sort s, q, -5 in decreasing order.\nAnswer: s, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2471544461 to the power of 1\/2, to the nearest integer?\nAnswer: 49715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**5\/3 - 23827*f**4\/3 - 906763*f**3\/3 - 2553485*f**2\/3 - 556850*f = 0.\nAnswer: -35, -2, -1, 0, 23865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99541, 99532, 99523, 99514?\nAnswer: 99505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 9:55 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.5079 - 491.7549. Let j = -468 - y. Let i = j + 0.003. Round i to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1257 divide 46829535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 3729943607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 195, 190, 185?\n\"Answer: -5*i + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/1 + (16 - 13))*2. Let g be (1148\/(-205))\/(u\/10). Which is greater: g or 27?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36\/1019219, -4, -1\/3 in increasing order.\nAnswer: -4, -1\/3, 36\/1019219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -182 + (-99 - -133) + 162.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = j. Suppose j = s - 5. Suppose d + 2*d = g + 203, 0 = -s*d + g + 337. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/4*0 - 5. Let q(n) = 2*n**3 - 5*n**2 - 5*n + 2. Let j(y) = 6*y**3 - 16*y**2 - 16*y + 6. Determine l*j(p) + 16*q(p).\nAnswer: 2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*w + 24 = 0, -3*w + 39 = 2*s + 2*w. Factor 8*h**2 - h**5 + s*h**3 + 13*h**3 - 21*h**3 - 2*h**4.\nAnswer: -h**2*(h - 2)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(-2*sqrt(588) - sqrt(588)) + 3)**2.\nAnswer: -2*sqrt(5)\/7 + 3974\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74918022?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02987464 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*o**2 + 0*o + 0*o + 3*o - 79*o**2 + 314 + 210*o**2 to b*o**2 + x*o + w and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**4 + 40965*l**3 + 6976525*l**2 - 40965*l - 6976530 = 0.\nAnswer: -8019, -174, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51094041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*f*z**2 + 1110*f + 3889*z**3 + 9 wrt z?\nAnswer: 12*f*z + 11667*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000693021995 to seven decimal places.\nAnswer: -0.000693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 283331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from zqzhzlqzxhxhnn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 2*d**2 - 4*d + 4. Let h(a) = a**3 + a**2 - a. Let b(g) = -3*h(g) + r(g). Let u be (0 + 0)\/((-3)\/3). Calculate b(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g. Let o(d) = 31. Let h(n) = 12*n + 1767. Let i(q) = -2*h(q) + 114*o(q). What is i(w(k))?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*y = -1688, -5*f + 8*y - 2110 = 11*y. Let l = f - -591. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 562604910 by -409465.\nAnswer: -1374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from {m: 4, h: 1, c: 2, s: 1, d: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**3 + 36*x**2 + 5*x - 11. Let k(r) = -3*r**3 + 25*r**2 + 3*r - 8. Let n(z) = -7*k(z) + 5*w(z). What is n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/(r*((r**4\/r)\/r)\/r*r)*r**4*r*(r**(-3\/8)*r)\/r)\/((r**2\/r**(-1\/2))\/(r**(2\/13)*r*(((r*r**(-2\/3)*r)\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-1057\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 269603401781 - -0.16?\nAnswer: 269603401781.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 g when three letters picked without replacement from geaeg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*o + 12600 = 0, 7*v - 4*v - 5*o = 37760. What are the prime factors of v?\nAnswer: 2, 5, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-137752)\/(-32) - 12\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*t**3 - 13*t + 2*t**2 - 246*t**3 + 0*t**2 + 19*t as o*t + l*t**2 + y*t**3 + x and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 1:26 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 934476 and 467238.\nAnswer: 934476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49 - 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 218. Let f be p(-19). Which is the biggest value? (a) 2\/3 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2896050191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 15*u - 2. Let y = -4 - 5. Let x(f) = -f**2 - 9*f + 7. Let h be x(y). What is the tens digit of q(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqqzcqcqqccqcccwc. What is prob of picking 1 w, 2 q, and 1 z?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 462.8 - 416. Let q = d - 47. Suppose 16 = -4*y - 0*y, 25 = -5*l - 5*y. What is the closest to 0.1 in 2, l, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6608 divided by -367.\nAnswer: -6608\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 96, 155, 226, 303, 380, 451?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 584 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 32 = -14*s. Let a = 26 + -12. What is the third derivative of a*k**3 - 54*k**s - 36*k**3 + 22*k**2 wrt k?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q + 872 + 203 = 400 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 380 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 27*j**7\/77 + 21*j**6\/220 - 25*j**5\/33 + 7*j**4\/11 - 8*j**3\/33 - 16*j**2. Let u(o) = 0. Calculate o.\nAnswer: -1, 2\/9, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2687294*s. Let h(u) = -50*u**2. Calculate q(h(j)).\nAnswer: -134364700*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -246*z + 251*z + 25, -2*x + 10 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 89.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -5, -36 in increasing order.\nAnswer: -56, -36, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 427*v**2 + 61*v + 134. Let q(h) = -61*h**2 + 8*h + 19. Calculate -15*q(d) + 2*r(d).\nAnswer: 2*d**3 + 61*d**2 + 2*d - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -705 or -699?\nAnswer: -705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a + 50. Let h(p) = 8*p**2 - 309*p + 173. Let q be h(38). Determine z(q).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n. Let z(q) be the first derivative of 0*q + 7\/2*q**2 - 8. Give b(z(w)).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-7))\/(17*560\/4165)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 6. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1 + 1 - 10*d**2 + 12*d**2. Let h(f) be the first derivative of 10*f**2 - 1. Give h(w(v)).\nAnswer: 40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtjjt. What is prob of picking 2 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-8) + 186\/248. Suppose -45*w + 176 + 454 = m. Let j(d) = 15*d - 5. Calculate the smallest common multiple of j(5) and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 6*f + 36, -23*c + 2*f + 4 = -52 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 25989957?\nAnswer: 259899570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 3:29 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 7*k + 2. Let o be y(-7). Suppose m - o*t = 10 - 0, 0 = 3*m + 2*t + 10. Suppose m = -6*l + 1386 + 24. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from ygasmmsyyymmwswmmyww.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1919499254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152 + 352. Let n = -103 + x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - 0.908. Let c = g + 112.008. Let h = c - 113.78. Round h to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, -2518, 0.085.\nAnswer: -2518, -11, 0.085, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 2:38 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(20\/(-5) - -7). Sort -5, -4, -7, u.\nAnswer: -7, -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*q = -17, 2*x - 5*q + 0*q = -21. Let t = -4 + 9. Let p = -90 - -86. Which is the third smallest value? (a) 4 (b) x (c) p (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385398833 to the power of 1\/2, to the nearest integer?\nAnswer: 19632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16682, 33362, 50042, 66722, 83402, 100082?\n\"Answer: 16680*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -469430 > -469426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 156*f**2 - 424*f + 108. What is i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 72.7249017 from 0.4.\nAnswer: -72.3249017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Suppose -4*n + 22 + 22 = 0. Solve n = -5*z - q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5))**(-33) assuming b is positive.\nAnswer: b**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (86\/(-8))\/((-5738433)\/155092 + 37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 11\/3*i**3 - 8*i**2 + 0 - 15*i - 1\/12*i**4. What is the units digit of f(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 169191836.1 nanoseconds?\nAnswer: 0.00000027974840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65 or 367590?\nAnswer: 367590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/1)\/(-3 + 2). Let z(i) = i**2 + 4*i - 3. Let g be z(-4). Let c(y) = -y + 1. Let q be c(g). Sort q, t, -5 in decreasing order.\nAnswer: q, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 129*b*f*p**2 + 85*b*p**3*q + 2*b*p**3 + 37*b*p**2*q - f*p**3*q - f*p + 3*f*q wrt f.\nAnswer: 129*b*p**2 - p**3*q - p + 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/8 and -113\/59210.\nAnswer: 236840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**4\/26 + 10*w**3\/39 + 8*w**2\/13 + 8*w\/13 + 2. Factor f(o).\nAnswer: 2*(o + 1)*(o + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -167 and -0.6.\nAnswer: 100.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -178 times -2.8\nAnswer: 498.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733206 greater than 2733242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*b + 21*b - 13*b - 627. Let m(q) = q**3 - 5*q**2 + q - 2. Let v be m(5). Calculate the highest common factor of b and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 29, 2, -10, 238 in ascending order.\nAnswer: -10, -2, 2, 29, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d8925 (base 16) to base 9.\nAnswer: 3570185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) 2 (c) -0.06 (d) 1 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 31. Is v > 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5321365.\nAnswer: 5, 7, 152039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2745 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 512*k - 15084. Determine f(-222).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.6, -5, -2\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 11:50 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - t**5 - 3*t**5 + (t**5 - 34 - 16*t + 34)*(-3 - 1 + 3).\nAnswer: -3*t**5 + 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 31*x + 149. Calculate the remainder when a(32) is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.7 - -1721914136\nAnswer: 1721914152.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/4)\/((16018695\/(-210))\/(-253))?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 n when three letters picked without replacement from {w: 6, z: 4, g: 3, f: 1, o: 3, n: 1}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -24132 divided by 6033\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 3, 4 in ascending order.\nAnswer: -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 459 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*c - 7*c. Suppose -4 = 2*s, -5*s - c = -2*a - a. Let o(r) = a*r - 3*r + 2*r + 0*r. Let y(f) = -f**2. Give y(o(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10490.\nAnswer: 2, 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*g**4\/7 + 152*g**3\/7 - 24*g**2\/7.\nAnswer: 2*g**2*(g + 6)*(13*g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 6*a**3 - 2)*(a - 2*a - 7 + 9) to the form x + f*a**3 + c*a**2 + p*a + q*a**4 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -9 + 34. Let m be 2*(0 - 3)\/(2 + q). Factor 0*t + 2\/3*t**4 + 0 - 2\/3*t**3 + 0*t**m.\nAnswer: 2*t**3*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 94.00289 decades?\nAnswer: 940.0289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(-1 + 4 - (-88)\/(-40)). Let k be h\/36*-6*(-6)\/(-8). Which is the second smallest value? (a) 5 (b) 0.3 (c) k (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 60180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from umzayusazmymuauumuz.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 3, -21895, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 + 9*i + 10. Let d be p(-5). What is the highest common factor of 194 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5047 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63 times 224?\nAnswer: -141.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7) + 0 + (-48)\/7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3632701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 7*y. Let f(j) = j**3 + 7*j**2 + 15*j + 1. Let l(x) = -4*f(x) - 9*u(x). What are the prime factors of l(-3)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 792?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -206651 - -1446565\/7. Factor r*k**2 - 24\/7*k + 0 + 2\/7*k**3.\nAnswer: 2*k*(k - 2)*(k + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjjgyyj. What is prob of sequence jb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47379745597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.342122 plus 0.072?\nAnswer: -1.270122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 126212507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 16 = 4*a, f - 13 = -5*a - 2. Suppose 4*k = -9*k + 182. Suppose -3*h + 19 = -x, -1 = 5*x + h + k. Sort a, -1, x in decreasing order.\nAnswer: a, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.10252413 rounded to four decimal places?\nAnswer: -7.1025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 4*t - 0 + 38, -134*w - 7 = 125*w - 262*w + 5*t for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**2 - 2604*i - 2607 = 0?\nAnswer: -1, 869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 - 5*h + 4. Let i = 48 + -47. List the prime factors of o(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3699 and 29596132538.\nAnswer: 29596128839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71.9 + 72. What is the closest to p in 2, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - f)*(471 - 230 - 239 - 44*f) in the form o*f**2 + v*f + u and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.0861 (c) 0 (d) 0.295 (e) -0.2 (f) 5 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**3 + 28*y**3 - 37*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 20. Let o = s - -5. Sort -0.2, 0.3, o in increasing order.\nAnswer: o, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5365 + 5364.9999993915. Round m to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4515\/3870*4\/14)\/((-40)\/18)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let h(y) = 12*y + 86. Let n be h(-7). Suppose -n*d + g*d + 24 = 0. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41\/(-65) + 66\/286 - (-3288)\/(-30)\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 3 - (4 + 125\/(-5)). Solve 3*d = -2*d + j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101.07228 hours to days.\nAnswer: 4.211345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 999?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 9) in base 7?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8530*b + 8329*b - 6432 = 0 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 27 = -4*w, 1713 = -4*w + 1701 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 502279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5595119 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -385*w + 854. Let f be u(2). Solve -9*i - f = -21*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53053 and 1430099.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 8*x**2 + 6*x**2 - 7*x**2. Let v(z) = -19*z**2 + 5*z + 10. Let c(g) = 69*g**2 - 18*g - 36. Let a(w) = -5*c(w) - 18*v(w). Calculate a(n(y)).\nAnswer: -363*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -1 - (589 - 566) - (1 + -28)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01158 and 0.12?\nAnswer: -0.0013896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 415 + 7*i - 414. Let f(x) = 605*x - x**2 + 0*x**2 - 605*x. Determine z(f(w)).\nAnswer: -6*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 10*i**2 - 366*i - 4243. Determine m(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/3)\/((-35)\/(-1344)). Solve 67*g = 75*g + k for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(242)*-2)**2*-4.\nAnswer: 11616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 8934015*g**2 - 6651389802024*g + 6651380868012.\nAnswer: -3*(g - 1489002)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16847)\/(-3) - (-24)\/(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/(19\/57)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**3 - 76*i**2 + 80*i = 0.\nAnswer: -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-117)\/(-297) - (-4)\/6.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**5\/5 - 8*k**4 + 37*k**3 + 16*k**2 - 112*k - 3535. Let n(r) = 0. What is r?\nAnswer: -1, 1, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(144) + 0 + 0.\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**5\/20 + x**4\/24 - 2*x**3\/3 - 21*x**2. Let b be o(-13). Let z = b + -280. What is the greatest common divisor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2955000 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3854, -3854, -3852, -3848, -3842, -3834, -3824?\nAnswer: -3812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*z - 4*z - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*g**3*k**3 - 27*g**3*k**2 + 2391*g**3*k - 4*g**2*k**3 - 152913*g**2 wrt g.\nAnswer: 42*k**3 - 162*k**2 + 14346*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 912*t + 4578. Let j be w(-5). Let k(z) = -144*z**3 - z**2 - z. Let n be k(-1). What is the highest common factor of j and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 338339 or 337629?\nAnswer: 338339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050*q - 74972 = 119*q + 30238 for q.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2492133 divided by -66?\nAnswer: 830711\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6014595 and 46\/18043785?\nAnswer: 18043785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 6.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 430370430 to the nearest one hundred thousand.\nAnswer: 430400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 6:52 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/(-6))\/(4\/(-30)). Let y be (-1 - (-1 - 3)) + (-12)\/24*-4. What is the greatest common factor of n and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/160 and 14\/189 - 11634\/10530.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40 from -3353.\nAnswer: -3393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*a = 7*a - 20*r + 24*r - 20, -4*a - 4*r + 32 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -599*-391.\nAnswer: 234209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*o + 22 = -50*o. Suppose 12*t - o = 10*t. What is the units digit of -3 + 4\/4 + t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 131 = -6*a. Suppose 4*l - a = -3*u, u + 9 = 2*u - 4*l. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (3 - (-1 + 3))) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-291)\/12)\/(1\/2)*-2. Suppose -597 + b = -c. What is c rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i\/(i*i**22)*i)\/i)\/(i\/(i**(8\/3)\/i)*i) assuming i is positive.\nAnswer: i**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k + 11*k**4 - 3*k**4 - k**4 + 1 - 9*k**4 as i*k**3 + x*k**4 + a + n*k + l*k**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**4\/20 - 533*x**3\/10 + 321*x**2 + 8927*x. Suppose k(j) = 0. What is j?\nAnswer: -535, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sncs when four letters picked without replacement from lslenclcsclelecc.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32.45 and 43.\nAnswer: 10.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g + 6*g + 9 - 15. Let k be i(-4). Let f = 139 + k. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**7\/840 + u**6\/180 - u**5\/120 - 14*u**3\/3 + 5. Let l(r) be the third derivative of a(r). Factor l(c).\nAnswer: -c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/216258 and 167\/2409732.\nAnswer: 16868124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -844 + 1774672669?\nAnswer: 1774671825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -2*x + 4*o, -2*x + 117 = 2*o + 3*o. Let b = x + -51. Let a(t) = 7*t + 1. Let u be a(2). What is the greatest common factor of u and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 78\/9 - 1\/(-3). Let j be 84 + 3\/(-1)*1. Calculate the greatest common factor of j and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 235, -187 in ascending order.\nAnswer: -187, -3, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899164 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -57. Let f = i - -23. Suppose -2*j + h = -2*h, -j + 3*h = -3. Sort f, j, 2 in increasing order.\nAnswer: j, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 62 and -44089?\nAnswer: 44151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2290620.\nAnswer: 2, 3, 5, 38177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 2*c - c + (-1 - 2 + 1)*(-57 + c - 1 - 176) + 0*c + 0*c - 2*c + (2*c - 2*c + 2*c)*(2 - 5 + 1).\nAnswer: -7*c + 468","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 4. Let p = 28.5236 - 30.53. Let f = n - p. Round f to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 8*b = 7*b + 2, r + b - 2 = 0. Suppose 4*l + g - 3 + 1 = r, 2 = g. Let v = -26879\/19 + 1415. Which is smaller: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to 0.37205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 4942 = -8*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(1\/6 - 15\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(65)\/(sqrt(5)*2))**2)*-5.\nAnswer: -165\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.008 + -3.992. Let l be ((-1)\/2)\/((-45)\/(-30)). What is the nearest to -0.1 in p, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 3, 0 in decreasing order.\nAnswer: 3, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.16, 17473, 0.5, 3\/2, 3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -774583, -1549178, -2323773, -3098368, -3872963?\n\"Answer: -774595*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19 + -261c4?\nAnswer: -261dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.62 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 1. Let i be d(9). Does 16 divide ((-2)\/i*4)\/((-8)\/(-2680))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c5689 + 2?\nAnswer: c568b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -28*y**2 - 5843*y - 28511. Calculate g(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6c3 (base 14) to base 16\nAnswer: -543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.138168578 to four decimal places.\nAnswer: 0.1382","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.831407m to nanometers.\nAnswer: 831407000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2391*h - 15 = 2386*h. Find the third derivative of -129*c**3 - 81*c**3 + 255*c**h - 171*c**3 + 318*c**2 wrt c.\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 2\/3, 0, 0.1.\nAnswer: -2, 0, 0.1, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {t: 3, e: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 446?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 9:37 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 - 9*l + 5. Let w(x) = -2*x**2 + 4*x - 2. Let z(m) = -m**3 + 13*m**2 + 15*m - 21. Let k be z(14). Calculate k*w(p) - 3*o(p).\nAnswer: 2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - -5) + -3 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*a = 4*a + 1130, 0 = -3*k - a - 1133. Let h = k - -383. Solve h*d = 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2264 (base 7) to base 4\nAnswer: -30332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.083 + 43.917. Which is the second biggest value? (a) 2\/13 (b) 3 (c) 0 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 328 + -324. Solve -v*r + 12 = -4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 47445.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllxlllilxlql. What is prob of picking 2 x, 1 l, and 1 i?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 27*n - 30*n. Let -4*i**2 - i**3 + n*i - 43*i + 18*i = 0. What is i?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-3)\/(-2))*484\/77?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c = -225*c + 528. Let m = 31 + -18. Let f be (-5)\/((-5)\/(-2)) + 7. Solve -c + m = -f*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 8*g - 2*d + 4 = 0, g - 3*d = 59 - 66 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35\/43 - -407\/817. Let n = 9.1 + -9.3. What is the third biggest value in 1, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*a - 30*a = 210 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17669441, 17669447, 17669457, 17669471, 17669489, 17669511?\nAnswer: 17669537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f - 6*f + 2*f + f - 4*f + 2*f + (1 + 0 + 1)*(2*f + 0*f - f))*(-2*f**3 - 4 + 4) to the form z + k*f**2 + u*f + w*f**3 + y*f**4 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-6)\/(-2) + (-5 - -2). Suppose -u = r - 4*u - t, 5*r - 60 = 5*u. Solve 0 = -2*x - r + 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 14*j**2 - 17*j - 44. Determine r(-12).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -1221.4.\nAnswer: -6107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 37743531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127 - 128. Let c(m) = 284*m**2 + 6*m + 7. What are the prime factors of c(p)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(2\/4*2). Let y be (-258)\/(-54) + (-2)\/(-9). Let w = y + d. Solve 2*g = 4, g + 2*g = -w*c + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.5, 0.4, 2, -1.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -5\/3*h**3 - h - 1\/12*h**4 + 5*h**2 + 0. Is y(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.96, 0.3, 190602.9?\nAnswer: -1.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5365152 divided by -596128?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-3))\/((-1)\/9). Suppose y = 4*h - 0. Suppose h*z = -z + 36. Calculate the greatest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-200 + -1 + 2)*11. Let x = -10998\/5 - n. What is the common denominator of x and 11\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a + 3*a - a)*(-1 - a + 1) - 3*a**2 + a**2 - a**2 as d*a + c*a**2 + j and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 324 and 60295651.\nAnswer: 60295975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -392800 to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 893 + -867. Calculate the remainder when 725 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -18*p + 4. Let z be l(1). Let k be 10\/(-35) - 3000\/z. Suppose k = 5*y + 2*n, -3*y = 2*y + n - 212. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (9 - 6) + 137 + -170?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.044, -1, -21, -0.01, -472?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 4:58 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 12) to base 3\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14951 is divided by 151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31009189 by 22.\nAnswer: 31009189\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 4. Suppose -2*h = 3*v - 16, h + 10 = 2*h + 2*v. Let d be q(h). What is the hundreds digit of -1 - (-2 + -130 + d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102212 - 1012?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2 - 3*z + 0*z - z**3 + 0*z - 2*z**2. Let i(g) = 2*g + 2*g + 4*g**2 - 7*g**2 - 3*g. Let y be i(1). Calculate d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5, 23, 41, 59, 77, 95?\n\"Answer: 18*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27733 - 23477. Calculate the remainder when x is divided by 87.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d - 1. Let l be q(1). Find the third derivative of 41*o**5 - l*o**2 + 3*o**3 - 43*o**5 - 3*o**3 wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5*x - 12 = 0, -74*o - 12*x - 586 + 66 = -14*x for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 8*j + 25*j + 223 - 223.\nAnswer: -2*j**2 + 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 151 = 133 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 2\/9 (c) 44\/183 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/1*8. Let i(d) be the first derivative of d**3\/3 - d**2\/2 - 4*d + 7. Let m be i(5). What is the greatest common divisor of k and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8086001, -8086017, -8086033, -8086049, -8086065?\n\"Answer: -16*h - 8085985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 = -3*a - 2*i, 6 = 2*a + i. Suppose a = 4*o - 2*c, -4*c = 3*o + c - 16. Factor 3 - 8*u + 4 + 2*u**o + 1.\nAnswer: 2*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p + 2 + 0*p**2 - 3*p**2 - 11. Let b be u(6). Let h = -49 - b. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 15. Let u be i(-13). Let y = 4 - u. Suppose 0 = -3*d - y + 14, -2*x - 2*d = -126. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83382382*d*j**2*y - 3*d*j*y + 214*d*j + 19311*d + j*y wrt j?\nAnswer: -166764764*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.4, 39 in descending order.\nAnswer: 39, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 4*v - 15. Is 21 a factor of r(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 - y**3 - 5*y**2 + (y**2 + 4*y**2 - 4*y**2)*(-5*y + 2*y + 2*y) + 5*y**3 + 4*y**3 + 7*y**3 + 0*y**2 + y**3 + 0*y**2.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k. Let o(u) = -u**3 - 2*u - 1. Let t be o(-1). Let i(v) = 7*v**2 + v**t - 4*v**2. Calculate i(y(l)).\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 212899, 425109, 637319, 849529, 1061739, 1273949?\n\"Answer: 212210*i + 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*l = 868, -5*l + 2997 - 313 = 3*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**5\/20 + t**4\/6 - t**3\/3 + t**2\/2 - 7*t + 2. Let r be 4\/(-2)*(-5 - (-45)\/10). Calculate d(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -855*m**3 + 15*m**2 + 5*m + 5. Let g(x) = -427*x**3 + 9*x**2 + 3*x + 3. Calculate 15*g(v) - 9*y(v).\nAnswer: 1290*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + 0*w**4 + 0*w**4 + 2*w**2)*(5 - 10 + 1).\nAnswer: -4*w**4 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3467513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 159 = 2*y, 644 = 3*g + y + 142. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210888\/203)\/36 - 31?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43013.\nAnswer: 43013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4673 is divided by 1151?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33\/9 - (-1)\/3. Suppose 0 = 4*k - 0*b + 3*b + z, -b = 5*k - 6. Let d = -3 - -5. Solve 0 = -d*h - k*c - 4, -2*h + 3*c + 17 = 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, e: 1, t: 3, a: 3, l: 2, m: 8}. What is prob of sequence fte?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from zwtywwwwwzwywwwywwtw.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 37 = -2*i, g + 20*i - 22*i = -11 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s + 0*s + 8*s. Let k(z) = 25*z**2. Calculate g(k(l)).\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1871859625?\nAnswer: 5, 14974877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*q**3 - 460 + 460)*(-2*q**2 - q**2 + 2*q**2) + 0*q**2 + 0*q**2 + q**5 + (3 - 7 + 2)*(q**5 - 2 + 2).\nAnswer: -38*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s**2 + 3*s**3 + 6*s**2 - 2*s**3 + 2 + 0*s**3 + s. Let t be m(-14). Let f = -29.9 - -30. Which is the nearest to f? (a) 0.1 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 5) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115\/4 + -29. Do -2 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -193? (a) 2\/77 (b) 1\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4870257 + -2076\nAnswer: 4868181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**5 - 26295*r**4 - 157854*r**3 - 210504*r**2 = 0.\nAnswer: -4, -2, 0, 8771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2.1 (b) 3 (c) 324 (d) -3 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-10)\/((-4)\/2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 523, 1044, 1553, 2044, 2511, 2948, 3349, 3708?\nAnswer: 4019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*g**2 + 2021517788*g - 808607112.\nAnswer: -4*(g - 101075889)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2784, 5563, 8340, 11115, 13888, 16659?\n\"Answer: -k**2 + 2782*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let c = -6 - 53. Let d = -59 - c. What is the nearest to -1 in f, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u - 11*u - 5 - 2*u**2 + u**2 - u. Let z be -4*(6\/8 + 1). What is o(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6313?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 divided by 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 15488 = 15473 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/27)\/((-16)\/9))\/(22\/(-24)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-138)\/104 - 69\/(-897). Let h be (-57)\/(-90) + 1\/(-2). Sort 0.2, k, h.\nAnswer: k, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvk when three letters picked without replacement from {p: 2, r: 1, k: 3, m: 1, v: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1756)\/(-56) + 1*(-6)\/7. Are 31 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 1)*(-24 - 30 + 2*x - 12) to s*x + l and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.479353 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -14*m + 9*m - 20, -15 = 4*b + 5*m. Solve -b*t + 2*o = 30, -149*o = 2*t - 144*o - 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64098626 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18577, 37211, 55845, 74479, 93113, 111747?\n\"Answer: 18634*y - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -2*y**7\/105 - y**3\/3 + 13*y**2. Differentiate n(v) wrt v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t**2 - t**2 + 4*t**2)*(-2 - 1995*t - 3374*t - 936*t) in the form y*t**2 + f + l*t**3 + x*t and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 9*b**2 + 13*b + 14. Let k be v(10). Suppose 4*m - k = 2*y - 0*y, 5*y - 10 = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.4, 1 in ascending order.\nAnswer: -9, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -133.7 and 303354.\nAnswer: 303220.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.38923 nanometers in millimeters?\nAnswer: 0.00004438923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*b + 73 = 0, 7*w = 10*w - b - 126. Solve 7 = -12*p - w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*k - 2 + 32 + 62*k - k + 5*k - 5*k + 0*k - 3*k + 4*k - 2*k + 3*k - 3*k + (3 + 0 - 1)*(-6*k + 3*k + k) + k + 2 - 2 to the form q*k + l and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -13*l**2. Let q(z) = -34*z**2 - z - 45. Let a(u) = u**2 + u + 45. Let t(j) = 4*a(j) + 4*q(j). What is f(t(d))?\nAnswer: -226512*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -63984 at least as big as -60643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 150 + -155. Let v(x) = 49*x**2 - 11*x - 25. Is v(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 513, -356 in descending order.\nAnswer: 513, -4, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12507777 divided by 5.\nAnswer: -12507777\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 3*i + 4*i + (2 + 1 - 2)*(8*i + 11*i - 6*i))*(-4*i**2 + 3*i**2 - 12*i**2)*(2*i + 4*i - i).\nAnswer: -715*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8*g - 27. Let f be n(-6). Suppose 2*u - 36 = c - 5*c, -u + f = 5*c. Suppose u*w - 12*w = 764. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4705512*0.1.\nAnswer: 470551.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + g + 210*g**2.\nAnswer: 210*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/6 - 1\/3. Let k be (-132097)\/22148 - 200\/(-35). Which is bigger: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1962869 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/75 and -17\/1335.\nAnswer: 6675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 2*r**2 + 3*r**2)*(-4 - 4 + 5) - 2*r**2 - r**2 - 3*r**2.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 15*q + 59. Calculate f(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 74, 82, 100, 134, 190?\n\"Answer: x**3 - x**2 + 4*x + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1. Let b(u) = -u**3 + 1191*u**2 + 1 - 1192*u**2 + 0*u**3. Let x be (6\/4)\/((-6)\/8). Determine x*d(r) - b(r).\nAnswer: r**3 + r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 13 = -5*r. Suppose -2*l + 7 + 9 = 0. Let z = l + r. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/25*1\/1. Let x be 2*((-24)\/20 + 1). Let f = -0.42 + -0.08. What is the closest to x in 0, z, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 - 446.1197678.\nAnswer: -336.1197678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 483*n - 489*n + 12. Let h(x) = -x. Let j(m) = -m + 4. Determine n*h(l) - j(l).\nAnswer: -l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -758\nAnswer: 45.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -418498, -1673938, -3766320, -6695632, -10461862, -15064998, -20505028?\nAnswer: -26781940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/49)\/(6\/(-21)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2119234, 4238467, 6357700, 8476933, 10596166?\nAnswer: 12715399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 134*r**2 + 5*r - 3. Let c(a) = -271*a**2 - 9*a + 5. Calculate 3*c(t) + 5*g(t).\nAnswer: -143*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2466346594?\nAnswer: 2, 1233173297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -324, 2, -15, 0.073, -2 in decreasing order.\nAnswer: 2, 0.073, 0.06, -2, -15, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12256?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 - -41. Let t = 69 + r. Calculate the highest common factor of 22 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 512.497 + -513. Let y = -0.703 - s. Sort 0.5, 0.104, y.\nAnswer: y, 0.104, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12514279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -2134\/567?\nAnswer: -2134\/567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 18 - ((-2)\/17 - 3480\/(-680)). Sort 1, -5, -4, -3, r in decreasing order.\nAnswer: r, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 2 + 2)**2 - sqrt(3))*4 + 2.\nAnswer: 28*sqrt(3) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - 0 - (15 + -3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144932702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a54 - 33c?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2183 - -1282. Let j = 899 + s. What is the nearest to j in 1\/4, 5, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 22 + 43)*(-6*y**5 + 3*y**5 + y**5).\nAnswer: -62*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (-17 - (12 + -43 + 12))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (8 - (-17 + 14)) + 2\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 98*l + 8. What is q(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 320, 1317, 2994, 5363, 8436, 12225, 16742?\n\"Answer: 2*a**3 + 328*a**2 - a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4595*q - 1735*q + 714*q - 627*q)*(-16 + 26 + 2) as o*q + f and give o.\nAnswer: -74916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 9 + 13)*(19*o + 105 - 105)*(0*o + 0*o - 2*o) to j*o**2 + g + k*o and give j.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhwqqqhhvqxh. Give prob of picking 3 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -292.4432679 rounded to 1 dp?\nAnswer: -292.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 39 - 51. Suppose n + f = -2, -r*n + 11*n + 5*f = -18. Suppose t + 95 = 3*h, -2*h + n*t = -5*h + 89. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Let p = 168 - 164. Let b(u) = -3*u + 1. Determine p*r(g) - b(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.9 + -6.87. Which is the nearest to 0? (a) v (b) -2 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than 4\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21834, -87500, -196942, -350160?\nAnswer: -547154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a8 + -2?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-107)\/(-642) - (-1379)\/42.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 847517 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiiu when four letters picked without replacement from {u: 4, i: 14}.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 9:37 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -38*g**2 + 2*g + 1. Let d be q(-1). Let n be 6\/d - (-32)\/39. What is the second biggest value in -0.3, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/1089, -5, -3\/5, -1.4, 3, 1 in descending order.\nAnswer: 3, 1, 7\/1089, -3\/5, -1.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2477 and 292840848?\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:21 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 1342.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1679253?\nAnswer: 3, 23, 24337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b*b**(5\/2))\/b*(b*b*b*b**(-1\/4)\/b*b)\/b assuming b is positive.\nAnswer: b**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 16*k + 59. Let v be r(7). Let o(b) = -89*b**2 + 33*b**2 + v*b**2. Let q(p) = 6*p**2. Give q(o(j)).\nAnswer: 726*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1236, -2478, -3718, -4956?\n\"Answer: y**2 - 1245*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48d69 + 3?\nAnswer: -48d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**4\/4 - 2*k**3\/3 + k**2. Let p(i) = -1369 - 4*i + 21*i + 1380. Calculate -3*p(w) - 8*y(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 11 = 4. Let n be 17 + -21 - (-8 + m). Is ((-1)\/n)\/((-10)\/13470) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 244?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1204*z - 86014 + 17842 - 16151 = -3483*z for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-10)*(-1)\/3. Let r be 30\/4*480\/5481. Let s = -2\/203 - r. Which is the closest to s? (a) -4 (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 3*c**2 - 3*c + 4. Suppose 5*i - i = 44. Let h = i + -8. Give v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2159 and -2402.\nAnswer: -5185918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14*y. Let a(h) = 141*h. Let j(o) = 2*a(o) - 21*b(o). Let l = -142 - -141. Give j(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1227*j**2 - 2. Let y be k(-2). Suppose 2*r - y - 458 = 0. Let p = r + -10635\/4. Calculate the common denominator of 119\/12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*s - 27, w - 15 = -0*s - 3*s. Let y(m) = -m**2 - m**w + 3 - 17 - 4*m**2 - 4*m + 13. What is y(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbggbtggggbjbgg. Give prob of sequence bbgb.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12761.976222 + 103.59.\nAnswer: 12865.566222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + -3*4\/6. Suppose 7 = 5*v + 2. Which is the nearest to v? (a) d (b) -1.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1599*w**3 + 1506*w**3 - 2990*w**3.\nAnswer: 115*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 7 + 7 + (0*n - n + 3*n)*(-1 + 3 + 0) + 3*n - 5*n + n + 2*n + n - 4*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-40)*(n**(1\/19)\/n)\/n)\/(n**(-37)\/((n**(-1\/28)*n)\/n)) assuming n is positive.\nAnswer: n**(-2651\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-9) - 112\/21*((-370)\/15)\/37?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/813?\nAnswer: 2\/813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 6. Let k be t(6). Let a(p) be the first derivative of 1\/2*p**2 - 13 + 4*p. What is a(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99429 + 158129. What is f rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**2 - m**2 - 15*m**2 + 8)*(7*m + 0 + 0).\nAnswer: -70*m**3 + 56*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + -2*sqrt(1300))*5*-2)**2 + (sqrt(1300) + (0 + sqrt(1300))**2 + -2 - (sqrt(1300)*-2 + -3)).\nAnswer: 30*sqrt(13) + 131301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*x = 16*x + 415 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4692*j**2 - 1943*j - 58799126 wrt j?\nAnswer: 9384*j - 1943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) 2237.3 (c) -1\/5 (d) -33 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -17*i**3 - 23*i - 28. Let g(b) = 3*b**3 + 4*b - 1. Give -5*g(w) - q(w).\nAnswer: 2*w**3 + 3*w + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/50*(14 + 0). Put g, -4\/7, -1 in decreasing order.\nAnswer: g, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5241667*d**3 + 2*d**2 - d + 294702.\nAnswer: -31450002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + 0.12. Let k(l) be the third derivative of l**4\/24 - 5*l**3\/6 + 2*l**2. Let r be k(6). Is r at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 49?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a - 92 = 0. Solve -2*s + 3 = 5*f, 6*s - s = 3*f + a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4144 or 4143?\nAnswer: 4143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -716*k + 180*k - 140*k - 906*k - 1445*k to the form w + y*k and give y.\nAnswer: -3027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197142?\nAnswer: 2, 598571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from bodsttbsss?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 979*j - 56244. Give k(56).\nAnswer: -1420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 9*a**3 - a)*(-3 + 2 - 1) + 2*a**3 - a**3 + a**3.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {d: 2, x: 3, f: 7, t: 3, r: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 1:56 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/54, -3, 18, -4, 5.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1123311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 246 (base 12) to base 5\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.3 (b) 1\/2 (c) -0.4 (d) -5 (e) 0.4 (f) -0.092\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146624 and 5568?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 48*c**2 + 72*c + 94. Let a be i(44). Let s = a - 3675. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/14*(-525)\/225*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-4)\/18)\/(1230\/4428))\/2)\/38.\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/72891728 and -69\/862624.\nAnswer: 145783456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27555 divided by -158?\nAnswer: -27555\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*m + 1258 = 5*m, -4*m = -4. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w**5 + 21464*w**4\/3 - 238292*w**3 - 29484536*w**2\/3 - 9582720*w = 0. What is w?\nAnswer: -23, -1, 0, 560\/9, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -12 + (78 - 36)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 5*b - 1, 2*b + 8 = 4*t - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 77 divided by -5\nAnswer: -77\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 993797186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55161069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 6*s + 8. Let j be r(6). Let l = 12 - j. Suppose 0 = 2*w + l*t - 50, -4*w + 115 = -t + 4*t. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8598203056166 take away -0.1?\nAnswer: -8598203056165.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*c - 30 = 0, 2*s + 2*c + 0*c - 62 = 0. Let x(a) = -s - 6 + 2*a**2 + 9 + 7*a + 13*a. List the prime factors of x(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1 + 2*j - 5 + 0 + 1. What is m(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 5:57 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 4*u**2 - 11*u - 6. Let a(r) = 2*r**2 + 6*r - 12. Let c be a(-5). Does 18 divide b(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/132 and 97\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1)*t)**(1\/39)*(t**0)**(-2\/9) assuming t is positive.\nAnswer: t**(1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11249 + -11248.9984465. What is b rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-1)\/2)*(-3024)\/(-140). Calculate the highest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(239*x + 439*x - 33*x).\nAnswer: -645*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -23, -2\/9, -2\/3, -0.3 in descending order.\nAnswer: -2\/9, -0.3, -2\/3, -23, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 3600*z + 1620000.\nAnswer: 2*(z - 900)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -60. Suppose 0*y + k*y = 0, 20 = -5*b + y. What is the tens digit of (1\/2)\/1 - 450\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.3. Suppose 7*n - 10*n = -21. Let s = -8 + n. Which is the closest to -1? (a) 2\/11 (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 6*i**2 + 4*i. Let z be v(-4). Suppose 5*k - 4*b = 72, -2*k - 3*b + 36 = -b. What is the greatest common factor of z and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2154441 (base 6) to base 12\nAnswer: 52a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.001 - 2.301. Let i = y - -2.294. Let v = i - -0.0081. What is v rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.0971 - 1.7971. What is the third smallest value in -2\/7, 7\/2, b, -40?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 29) + 71 + -82.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3230013203 + -23?\nAnswer: 3230013120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1071)\/21 + 75)*(-2)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 6. Let z be o(-8). Let i = -4 + 8. Find the third derivative of -2*j**3 + 3*j**z - i*j**2 - j**2 wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1815715979 + 39479?\nAnswer: -1815676500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let n(d) = -8*d + 14. Let l(m) = 3*m - 5. Let q(c) = -c + 1. Let h be q(-4). Let p(i) = h*n(i) + 14*l(i). Give p(r(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - q = -203, -x - 4*q + 8 = -44. Let h be (-4)\/(-10)*35*16. Let y = h - x. Is 46 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6048, 6044, 6040, 6036, 6032, 6028?\nAnswer: 6024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.38 + 1.58. Which is the closest to 0.2? (a) u (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5*b**4 + 650*b**3 + 1215*b**2 - 8270*b + 6400 = 0.\nAnswer: -128, -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 53 and 1207\/23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 29 = 6*m + 2*c, -m = 4*c - 13. Let j = -22 - -46. Calculate the remainder when j is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:57 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -4, 2, -2.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*i*r**2 - 31183*i + 242*r - 2 wrt r.\nAnswer: -64*i*r + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (184\/(-69) - (-2)\/3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-544)\/(-238) + 1*2*-1. Let c = 14.8 - 15. What is the fourth biggest value in -4, g, 6, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 308*h**3 + 101*h - 519. What is the tens digit of u(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - 3.95. Let b be 4 + 7 + -10 + 12\/3. What is the second biggest value in x, b, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26277985 minus 363?\nAnswer: 26277622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -38. Let q(s) = s**2 + 4*s - 5. Calculate q(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1353 + 1412. Calculate the remainder when x is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 123.3 and -4765833?\nAnswer: 4765956.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/30*-3*(2 - 112). Let s = j - -47. Solve s*u = -5*q + 14, -3*u + 2*q + 13 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 144 + 154. Let l(p) be the first derivative of 4\/3*p**3 - 3\/2*p**4 - 1\/6*p**6 - 1\/2*p**2 + a + 0*p + 4\/5*p**5. Factor l(q).\nAnswer: -q*(q - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1630 and 23238667.\nAnswer: 23240297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -233\/2, 0.4, -146, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1929\/7 or 3745\/9?\nAnswer: 3745\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-76))\/((-7)\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5915 + 5915 + z**2. Let g(w) = -6*w. Determine g(f(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2. Let f = 5 + -3. Let p(o) = 2*o**2 + f*o**2 - 3*o**2. Determine s(p(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1145200 and 76720.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34209671.\nAnswer: 19, 23, 78283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3+-5.34\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**2. Let h(f) = -74*f**2 - 5. Let p(n) = 2 + 31*n**2 - 3*n**2 + 9*n**2. Let c(s) = -2*h(s) - 5*p(s). Give c(l(q)).\nAnswer: -592*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let l(j) = 13046*j. Calculate n(l(h)).\nAnswer: -13046*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.11. Let u = p - -0.01. What is the biggest value in u, -1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2837\/6 + (-14)\/(-84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -1 - 7. Suppose -3*z - 464 = -p*z. Find the second derivative of 7*j + 10*j**5 - z*j**2 - 4*j + 464*j**2 wrt j.\nAnswer: 200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2 + 8*k + 5. Suppose -o = -4*o - 12. Is j(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17315303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*((-551180)\/84)\/(-155)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-32)\/(-40))\/(4\/10). Let k be 6\/(((-987)\/(-82))\/3 + -4). Suppose -2*x + 492 = 4*r, -2*x - 4*r + k = -b*r. Is x a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**3*q**3 + 189*j**3 + 2*j**2 + 2*j*q - 602*q**3 + 2*q**2 wrt j.\nAnswer: -18*q**3 + 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 1\/8, -2\/11, -0.4, 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2. Let d be ((-16)\/24)\/(3\/(-18)). Suppose 2*u - 24 = d*h, 0*h = 4*u - h - 13. Let x(f) = -10*f**u + 15*f**2 - 3*f**2. Calculate g(x(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-36) + 7\/3. Suppose p = -3*x + 13, h*x = -2*p + 12 - 2. Solve 0 = -3*l - 3*j + 21, -5*l + 3*j + 2 = -p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50740 and -0.4.\nAnswer: 20296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-760)\/(-570) - 194\/(-3) is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*z + 16*z - 816. Calculate the smallest common multiple of z and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*13\/(3003\/6)*3.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -55337.97 rounded to the nearest one thousand?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 20 - 60 = 0. Let w = y + 5. Let o = w + 21. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2874 divided by -21663.\nAnswer: 958\/7221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqeubquuuaauu. What is prob of sequence aeq?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((19 + 2)*22\/(-198))\/(2\/(-6)). Solve s*g - 60 = -8*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*l - 7*l + 504. Let j = 25 + -17. Let d be (l\/(-8))\/(j\/32). Solve 2*v + 2 = -2*g - 4, -4*g = -5*v + d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -32*q + 6. Let g(b) be the third derivative of 0*b**3 - 3*b**2 + 0*b - 1\/30*b**5 + 0*b**4 - 44. What is g(i(w))?\nAnswer: -2048*w**2 + 768*w - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/9 - (3 + 440\/(-15)). Suppose 6*q - q + 10 = 4*k, -o = -5*k - q. Suppose 276 = -k*t + 9*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*w - m, m - 3 = -0*w + w. Solve -4*i + v = -5, -5*i - v + w = -2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40\/9 - -589\/90. What is the common denominator of 55\/104 and y?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675952?\nAnswer: 2, 83, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/11*-1 - (-476)\/77. Suppose -1873176 = -y*o + 166824. What is o rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -24. Suppose 6 = c + t. Put 5, -5, c in descending order.\nAnswer: 5, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 - 490*d + 5100 = 0. Calculate d.\nAnswer: -255, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*t + o + 2 - 5, 0 = -14*o - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -9. Let o = -6 + b. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*q + (-1 - 4 + 6)*(4 + q - 4) + 0 + 0 - 2*q)*(0*q + 4*q - 8*q + (5 - 2 - 4)*(-174*q - 394*q + 193*q))*(0 + 3 - 2).\nAnswer: 371*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 divided by 19?\nAnswer: 427\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j**3 + j**2 + 12*j. Let r(o) = o**3 - o. Give d(a) + 5*r(a).\nAnswer: -5*a**3 + a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950892 is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(3\/10))\/y**(2\/13) assuming y is positive.\nAnswer: y**(149\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 0, 180, -15, -5 in increasing order.\nAnswer: -15, -5, 0, 2, 5, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2. Let l(h) = -3*h**2. Let g(i) = -3*l(i) - 2*q(i). Let s(k) = -6*k. Determine g(s(c)).\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797 (base 11) to base 4.\nAnswer: 32321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443228809*c**5\/3 - 5318703602*c**4\/3 - 3397919112*c**3 + 15957205550*c**2\/3 - 1515839*c\/3 + 12 = 0 for c.\nAnswer: -9, -4, 1\/21053, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 9. Let v be g(-14). Let t be v\/(-10)*(-6)\/(-4). Put -2, 1\/4, t in increasing order.\nAnswer: -2, t, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**3 + 35*l**2 + 150*l = 0.\nAnswer: -3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-162)*(-3)\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8729 to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 638878101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-26)\/(-10))\/(1\/45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1620715, 1620657, 1620599, 1620541, 1620483, 1620425?\nAnswer: 1620367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 182189 divided by -6?\nAnswer: -182189\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3991*r - 9805. Let t(v) = 1997*v - 4897. Let d(w) = -6*l(w) + 11*t(w). Differentiate d(n) with respect to n.\nAnswer: -1979","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**5\/30 + o**3\/3 - o**2\/2 + 24. Let g(y) be the second derivative of l(y). Differentiate g(c) with respect to c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -30. Let b(f) = 2*f - 24. Let z be b(11). Let c be -1 - (-16 - (z - 1)). Solve o*y = -3*y + c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/233820 and -103\/878990.\nAnswer: 47465460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**3)\/(g**(-1\/35)*g)*(g*g**(-1)*g)**0 assuming g is positive.\nAnswer: g**(-104\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/20 + 13\/4)*(5507 - 5483).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - (0 - 1))\/(-1). Let f = 0 - -12. Suppose -t*o = 5*i + 2 - f, -4*i = o - 8. Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(21\/5)\/i*i**(-21\/2))\/(i**0\/(i*i**(2\/59)\/i)) assuming i is positive.\nAnswer: i**(-4287\/590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u. Solve u = 3*a - 5 - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -4. Let v = t + -12. What is v rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3045.7 or -2164?\nAnswer: -2164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 294141400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 8 = 2*o, 19 = 3*o - 2*y - 2*y. Suppose -18 = -o*x + 6*x. Calculate the smallest common multiple of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-780)\/(-52)*2\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 91 = 3*j, -2*i - 10*j + 5*j = -44. Let x(g) = -18*g - 3. Let z(f) = -6*f - 1. Let w(m) = i*z(m) - 6*x(m). Let s(c) = -c. Give -11*s(h) - 2*w(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f - 3. Suppose -2*d = 2*d + 20. What is the lowest common multiple of 18 and b(d)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6)\/27 + 128\/9 and 32\/6*9\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -13. Let o = 0.3021 + -0.3021. Let t = -991\/8 + 124. Sort o, t, u in increasing order.\nAnswer: o, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-4\/3)*f)\/(f*f\/(f*f**5*f)))\/((f*f**(-2))\/f**(-3)))\/(f\/f**(-2\/27)*f\/(f*f*f*(f\/f**(3\/7))\/f*f))**(2\/59) assuming f is positive.\nAnswer: f**(30302\/11151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**2 - 61*s - 13. Let k be z(-9). Let f = k + -204. Solve -6*r = -10 - f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(5\/4)\/o*o*o*o*o\/(o\/(((o**20\/o)\/o)\/o))*o*o assuming o is positive.\nAnswer: o**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721215 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 + 0.2. Let m = -21\/4 + 5. What is the third biggest value in m, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -523*z**5\/5 + 37*z**3 - 503. Find the third derivative of c(r) wrt r.\nAnswer: -12552*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8097736681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.056 * 4370.\nAnswer: 13354.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**7\/105 - a**3\/3 - a**2 + 3. Let z(h) be the second derivative of o(h). What is the derivative of z(g) wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 266985000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -6) + 2 - ((12 - -18) + -60 + 43)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + r)*(3*r**3 + r**3 - 3*r**3) + 875151*r**3 - 875151*r**3 - 1175*r**4.\nAnswer: -1174*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, y: 3}. Give prob of sequence yyy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -1, 5, -119, -4.\nAnswer: -119, -4, -1, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 5*k**2 - 4*k - 8. Let u be o(-6). Let d be (-24)\/(-10) - (-8)\/u. Calculate the remainder when 32 is divided by (22\/4)\/(d\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17059337?\nAnswer: 29, 761, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 66005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3236 - -3238. Let n(d) be the first derivative of -23 + 1\/2*d**v - 8*d. Calculate n(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 5*g + 2*g**4 + 0*g**4 - 4*g**3 - 20*g in the form v*g**3 + q*g**4 + j + z*g + o*g**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d**1*d))\/d)**(-8))**(-5) assuming d is positive.\nAnswer: d**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**3 - 3*s**2 - s. Let m(n) = -n**3 + n. Let i(r) = -m(r) - u(r). Solve i(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 796, 6584, 22322, 52984, 103544, 178976, 284254, 424352?\n\"Answer: 829*u**3 + u**2 - 18*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsjj when four letters picked without replacement from njjjsnj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1.9. Let t = -51.5 - -51. What is the smallest value in v, t, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 5*x + 0*x)*(16 + x - 16 - 10*x**3)*(4 - 1 - 2).\nAnswer: -20*x**4 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/8))**(-16)*w**(-3\/7)\/(w**(16\/7)\/w*w) assuming w is positive.\nAnswer: w**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from {f: 5, v: 4, n: 2, w: 4}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-323)\/(-5) + 6\/15. Let v be f + -1 + 0\/(-2). Suppose 0 = -3*p + v + 65. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -104*m + 536. What is the smallest common multiple of 1760 and q(4)?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from {e: 3, q: 1, i: 2, d: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**2 + 4 + 3*f**2 - 5*f + f**2. Let o(z) = -z**2 + 3*z - 2. Suppose 0 = -5*k - 0*k - 15. Let b(g) = k*x(g) - 5*o(g). Suppose b(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1784 = 3*b, 16*f = 13*f - b + 1325. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845023 is divided by 578.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 151781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*sqrt(200)*1*-1*-5)**2 + 2.\nAnswer: 1620002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/20)\/(3\/4)*1. Find j such that 15*j - 45 - 20*j**3 - 7*j**2 + 28*j + 17*j + 17*j**q - 5*j**4 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 + 45*h**2 - 48*h + 112. What is v(14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/117 and -17\/12.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 93193470 divided by 24081\nAnswer: 3870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 3*k**2 + 10*k + 18. Let y be p(-2). Let x(d) be the second derivative of -7\/2*d**y + 1\/12*d**4 + 9*d + d**3 + 0. Determine x(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5127*i + 5126*i + 5125*i - 15370*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10248*c + 2246*c**2 + 5125*c + 5123*c + (-6 + 3 + 1)*(-6*c**2 + 4*c**2 + c**2) to l*c + j*c**2 + w and give j.\nAnswer: 2248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/6 - 20604395*y**2\/3 = 0 for y.\nAnswer: 0, 41208790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -58. Let b = -68 + t. Let m be b\/(-6)*(10\/4 + -1). What is the highest common factor of 153 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1494 and 37849743?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -24\/23, 298.79, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + (sqrt(475) + -3*sqrt(475) - sqrt(475)) + -2 + -5*sqrt(475)*-2 + sqrt(475) + 5 + -4)**2.\nAnswer: 160*sqrt(19) + 30404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 942727?\nAnswer: 98986335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by (1 - 2)*(-22 - -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -99 + 92 - 30*w - 38*w**2 - w**3 - 17*w**2 + 72*w**2. What is x(15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -142 and -1.134.\nAnswer: 161.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 262.682 and -6.9.\nAnswer: 255.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + (-5)\/(-2))\/((-2)\/160). Suppose -3*d = -d - o. Let j be 1056*(d\/8 + 2 + -4). What is the highest common factor of 48 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3480, 3452, 3404, 3336, 3248?\n\"Answer: -10*h**2 + 2*h + 3488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1010, -3, 4 in increasing order.\nAnswer: -3, 4, 1010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/10 and 43\/979035.\nAnswer: 1958070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**7\/210 + u**4\/24 - 14*u**2. What is the second derivative of b(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Suppose -m*q = 16 - 61. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 5*t**2 - 7*t + 6. Let p be b(4). Let i be (p\/10)\/(1\/5). Let h(v) = -v - 2. Let x(m) = 2*m + 3. Determine i*h(r) - 2*x(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17278.\nAnswer: 2, 53, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 141 - 138. What is the fourth biggest value in c, 4, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 203616 and 441?\nAnswer: 1425312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-36) - 137\/6) + 200 + -205.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-27))\/(((-10)\/(-30))\/((-1)\/(-4))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, d: 3}. What is prob of sequence sddd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 6*i**2 - 3*i + 2. Calculate f(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 4*i. Let p be u(-3). Let m be (17 - -4)\/p - 3. What is the remainder when 14 is divided by (5 + 10)*m\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 18\/185?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 54*l**2 - 1084 + 1087 - 3*l - 19*l**2 + 62*l**2 - 21*l**2. List the prime factors of d(-4).\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -274\/3 - -183\/2. Let n(j) be the second derivative of 0*j**2 + q*j**3 + 0*j**4 + 0 - 1\/4*j**5 + 6*j. Find the second derivative of n(x) wrt x.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 + -37?\nAnswer: -37.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(52)*-2)**2 + -3*(1 + 2 + sqrt(13)) + -5 + -2.\nAnswer: 21*sqrt(13) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 67 = -70. Let k(v) = -4*v**2 + 4*v. Let o(a) = -4*a**2 + 3*a. Give r*o(j) + 2*k(j).\nAnswer: 4*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 342 + -339.02. Round a to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3289793 is divided by 120?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*h - 17*h**3 + 11*h**3 + 13*h**3 - 53*h + 100*h.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 14*i**2 - 3*i - 18. Does 78 divide p(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 - 247\/5. Suppose -5*x = t - 0*x - 20, -x + 4 = -5*t. Which is smaller: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 4*t - 4. Suppose -4*i - 35 + 11 = 0. Calculate f(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 94627, 5, -1, -4 in decreasing order.\nAnswer: 94627, 11, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/19))**(-1\/39) assuming u is positive.\nAnswer: u**(-1\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*(143\/176 - (-9)\/24) and 115\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/12 - n**4\/12 - n**3\/6 - 2*n**2. Let h be f(2). Suppose 9*a = 4*a + h. Solve -a*c = -8*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/968186745 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, z: 1, e: 5, t: 6}. What is prob of picking 2 t and 1 n?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*j**3 - 12853*j**2 - 1726943*j + 4 wrt j?\nAnswer: -582*j - 25706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1045, -4323, -9763, -17347, -27057, -38875, -52783, -68763?\n\"Answer: 3*x**3 - 1099*x**2 - 2*x + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -641 - -315. Let o = z - -1243\/4. Find the common denominator of -67\/10 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 14 = 2*d, -2*d + 4*d - 2 = -z. Let o(h) = -h**3 + 4*h**2 - h - 1. Let r be o(2). Sort -1, r, z in descending order.\nAnswer: r, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 0, 3*r + 4*j = 12 + 3. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 12*l - 195 = 0. Calculate the greatest common divisor of 9 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -14*m**2 - 6*m + 19. Let k(u) = -3*u - 34. Let d be k(-9). Let q be b(d). Let c = -443 - q. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 3. Let p be d(-6). What are the prime factors of 29 + p + -1 + -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 73605?\nAnswer: 147210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 16\/4)\/(12\/12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 74, 98, 116, 128, 134, 134?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -121, -301, -561?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(5*s - 2*s - s) - s - 2 + 2 + (-4 - 1 + 4)*(-5*s + 3*s + 3*s) + 185*s - 493*s + 239*s as v*s + q and give v.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**4 + 13*r**3 + 32*r**2 + 29*r - 18. Let i(w) = 3*w**4 - 25*w**3 - 64*w**2 - 59*w + 30. Let l(s) = -5*f(s) - 3*i(s). Find c, given that l(c) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 24*r - 127. Let q be f(16). Let o(b) be the first derivative of b**2\/2 - b + 1. Let y(v) = -v - 5*v - 2 + 4. Calculate q*y(x) + 4*o(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3345 - -3361. Solve -5*w = 5*p + 20, -4*w - x = -p - w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.547 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15725 a multiple of 925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.691191 and -1.85?\nAnswer: -1.27870335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = g, -5*g = h + 14 - 1. Let l be -3*1\/(-2)*h. Find the third derivative of l*f**4 + 15*f**6 - 13*f**2 - 3*f**4 wrt f.\nAnswer: 1800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 2*i + (-i + 4*i - i)*(-3 + 2 - 1))*(5 - i - 5).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 249 and 3754.\nAnswer: 934746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - -8. Suppose 3*u = -0*k - k + 43, -10 = 5*k. Calculate the remainder when c is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-216461)\/12019 - (-36)\/2. Put m, -1.5, 3 in decreasing order.\nAnswer: 3, m, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r = -22 - 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*u + 2*q - 3, 0 = 4*q. Let h(k) = -468*k - 30890. Let m be h(-66). Sort m, 0, u, 36 in decreasing order.\nAnswer: 36, 0, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -31028.\nAnswer: -93084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18)\/(-10) - 25938347\/(-685)?\nAnswer: 2, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 123*z**2 - 13*z + 39. Let c be f(11). Factor -d**3 + c*d + 12*d**2 - 7395*d - 7404*d.\nAnswer: -d*(d - 10)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11304 - -591?\nAnswer: -10713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12925314 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02245 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + x + 7. Let i be h(-5). Suppose 4*s = -2*f + 22, -4*s = 2*f - 6*f - i. What is the lowest common multiple of 1 + 5 - 4\/2 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -28*c + 9*c + 225 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 22 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280423414?\nAnswer: 2, 140211707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f - 6*f - 5*f)*(f**4 + 0*f**4 - 3*f**4) + f**5 - 3*f**5 + 0*f**5.\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 79, 159, 243, 331?\n\"Answer: 2*j**2 + 74*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*n*q*u - 190*n*q - 1556530*q*u + 536238*q wrt u?\nAnswer: 11*n*q - 1556530*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 30*d**2 + 25*d + 38. List the prime factors of h(13).\nAnswer: 2, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2934.36945 or 0.1?\nAnswer: 2934.36945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 144456454 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3237*a - 64658 - 2*a**2 + 64658)*(3*a + a - 2*a) in the form f*a**3 + m + w*a**2 + s*a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 7*d + 2*d - 12, 2*c - 8 = -5*d. Suppose 2*t = c*t. What is the third smallest value in t, -3, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.1 (c) 6141\/4 (d) 7 (e) -1\/4 (f) 0.5 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 49*2 + 3\/(-3). Let g = -35 + o. Suppose -v - 26 = -g. Calculate the highest common divisor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 560.0194ug to milligrams.\nAnswer: 0.5600194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-12)\/3) + 2. Let b = 730 - 443. Suppose -2*z + 5*f = -5*z + b, -344 = -4*z + r*f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -2*c**4 + 11*c**3\/3 - c**2 - 28. Find the third derivative of m(r) wrt r.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50190749*c*q**2 + 2*q**2 + 3673*q + 608 wrt c?\nAnswer: 50190749*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946 is divided by 104?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3233133 (base 5) to base 7\nAnswer: -320366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 30 = -3*u + 5*s, 4*u + 4 = -3*s. Let z = 22 + -18. Solve -z*y = m + u*m + 4, 0 = 4*y + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9632a8 (base 11) to base 6\nAnswer: 53013150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 556 + -4?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 7*l**2 + 4*l - 2. Let r(n) = n**3 + 6*n**2 + 3*n - 1. Give 3*q(h) - 4*r(h).\nAnswer: -h**3 - 3*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -10*f**2 + 6*f + 1. Let z(l) = -21*l**2 + 13*l + 2. Let w(h) = 9*x(h) - 4*z(h). Suppose -g = -3*g - 3*g. Suppose t - 4 + 5 = g. Calculate w(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 704 divide 3785342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -103*r - 3. Let c(t) = -8*t. What is 2*c(h) + p(h)?\nAnswer: -119*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29609933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1992*w**3 + 126 - 331*w**2 - 59 - 73 wrt w.\nAnswer: 11952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 2:47 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*f + 11. Let w(x) = -2*x**3 + 7*x**2 + 11*x + 21. Let d(p) = -p**3 + 3*p**2 + 6*p + 11. Let q(k) = f*d(k) + 6*w(k). Does 25 divide q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 divided by -6?\nAnswer: 136\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3630, -3629, -3630, -3633?\nAnswer: -3638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*sqrt(70)\/sqrt(2) + sqrt(140)*-2))\/((sqrt(60) + (sqrt(60) - sqrt(360)\/sqrt(6)))\/sqrt(12) + (-4*sqrt(80) - sqrt(80))).\nAnswer: -40*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 814521343 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bc1c - 530?\nAnswer: b6cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -106*l - 172. Let z be x(-7). Suppose -27*f + z = -645. What is the smallest common multiple of 54 and f?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7494938 * -0.08\nAnswer: -0.059959504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yygggggyygyggg. Give prob of sequence ggy.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -127\/1819, 0.1, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 33.87. Let y = -91 + 91.2. Which is the second biggest value? (a) v (b) 2\/5 (c) 1\/4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -5*r - 55, 3*r + 7235777*o - 7235782*o = -59 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 + -94. Let m(a) = -a**3 + 2*a**2 + 8*a + 5. Let l be m(4). Let t = 4 + -2. What is the closest to t in g, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -43482, 24, -2\/7?\nAnswer: -43482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42)\/210 - (-252)\/10. Solve 49*s = z*s + 27*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*b + 9 = 0, 0 = -v - 3*v + 3*b + 7. Let f(o) = -5*o - 6. Let h be f(v). Let q = -548 - -551. Solve -q = -y - h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 151779 + 342957 = 0. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/33 - 13\/33. Sort 1\/4, v, 2, 9 in increasing order.\nAnswer: v, 1\/4, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((2\/52)\/((-477)\/318))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.315 - -1.915. Let r = -1.1 + t. What is the third smallest value in r, 0.4, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**4 + q**4 + 2*q**4)*(q - 1 + 1) + 4*q**2 + 4*q**5 - 4*q**2 + 3 - q**5 - 3 + 7*q**5 - 2*q**2 + 2*q**2.\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16\/(-12)*(-2501148)\/104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -438*k - 7 - 17 + 432*k. Let w = -15 - -10. Let t be a(w). Solve -t = -2*j + 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -120, -5, 0, 18, -10.\nAnswer: -120, -10, -5, -4, 0, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - 1.1. Let w = v - -1. Which is the closest to w? (a) 4 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*t**6 + 47*t**3 + 1560*t**2?\nAnswer: 1440*t**3 + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 959\/22 + -232\/11. What is the common denominator of (1\/11)\/(1\/31) and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/478679 or -1?\nAnswer: -10\/478679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35189397 divided by 1303311?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 62 = -8*c + 6*c, -3*n + 73 = -2*c. Let u be ((-1)\/2)\/(n\/6 - 4). Let d = 10 + -6. Sort 3, d, u in decreasing order.\nAnswer: d, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**4 + 20*m**3 + 255*m**2 + 450*m = 0.\nAnswer: -3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 233940 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -818, -3357, -7646, -13733, -21666?\n\"Answer: -8*q**3 - 827*q**2 - 2*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4 + 6. Let s(v) = 2*v**3 + 2*v**2 + 3. Let q be s(k). Let i = 92 + q. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/40 and 73\/209678552.\nAnswer: 1048392760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5585994565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(8 - 8 - 4*z**2)*(-4*z**2 - 6*z + 6*z) + (5*z - 3*z - z)*(-z**3 + 0*z**3 - z**3).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -884 - 9044 + 20*x**3 - 9500 - 18670.\nAnswer: 20*x**3 - 38098","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/3 - 6994*s**4 + 1819598*s**3\/3 + 3744086*s**2\/3 - 606532*s - 3723104\/3 = 0. What is s?\nAnswer: -10577, -2, -1, 1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0.2, -2\/13, -18\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4337 or 4335?\nAnswer: 4337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o + o - 2*o)*(-2 - 4 + 3)*(16 - 2 + 9*o - 12).\nAnswer: -108*o**2 - 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 76166 divided by 2\nAnswer: 38083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 704329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 6)\/((-3)\/(3 - 0)). Let y(j) = -j**3 + 8*j**2 + 10*j + 9. Let g = -2 - -13. Calculate the remainder when y(h) is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*b + 13*b. Suppose 35*o - 12*o + 46 = b. Let m(v) = -11*v**3 + 8*v**2 + 9. Let x(y) = 3*y**3 - 2*y**2 - 2. Calculate o*m(h) - 9*x(h).\nAnswer: -5*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 887 and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21117029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43a7 - 7629?\nAnswer: -10a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 231118673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 738389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360568 is divided by 739.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 11537?\nAnswer: -50\/11537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-44)*(7 + -11). Do c and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2780 - -2775. What is the nearest to -0.1 in -17, k, -2, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/105*26201\/1182.\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -28. Let a be 50 + 4 + (r - 1). What is the highest common factor of 115 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, i: 1, d: 2}. Give prob of picking 2 h.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011880389 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 + 3*d + 8. Let v be o(-2). Let g(z) = -15*z - 3*z**2 - 3 - 5 + 2*z**2. Let f be g(v). Solve -3*y + f = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(475) + 0 + sqrt(475) - sqrt(475))*-6*1)**2*-6.\nAnswer: -102600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + (7 - (-8 + 9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*y - 29*y + 28*y - 8*y**3 - 55*y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*s - 35 = 2*g, 20 = 5*g + s. Let v be 7\/((-98)\/(-4)) + 0. Factor 0 + 2\/7*p**4 + 2\/7*p**g - v*p**3 + 0*p - 2\/7*p**2.\nAnswer: 2*p**2*(p - 1)*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5444901 to the power of 1\/2, to the nearest integer?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 10*z + 4. Let j be m(-10). Let d(x) = x - 12. Let o(f) = -4. Let y(b) = -2*d(b) + 7*o(b). Let n(h) = -h - 1. Determine j*n(g) - y(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 896 = a, -4*d = -a + 2*a - 724. Does 30 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4187, -4, 6 in decreasing order.\nAnswer: 6, -4, -4187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/9*i**2 + 0*i - 2\/9*i**3.\nAnswer: -2*i**2*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**3\/6 + d**2\/2 - 3*d. Let u be (2 + 1)*4\/3. What is i(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330715, 661416, 992117?\nAnswer: 1322818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 28. Suppose k - 20 = -5*t, 5*t - 26 = -3*k + 14. Give n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -259527110762\/7 + 7737231761489\/210. Let o = g + 231290962. Let b = o - -49812. Calculate the common denominator of -34\/33 and b.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61812 divided by -6\nAnswer: 10302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 10472.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*r + 10, -r + 2*r = 0. Let v(n) = -n**3 - 4*n**2 + n + 3. Let j be v(-3). Let m(k) = k**3 + 10*k**2 + 10*k + 12. Let y be m(j). Is o equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f**4 - f)*(2*f - 3*f + 0*f - 2).\nAnswer: f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1039008807 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -84 (c) 5 (d) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 40, 0 = 3*h + t - 2*t - 90665. List the prime factors of h.\nAnswer: 3, 7, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8748990 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(960)\/sqrt(12))**2 + 0.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (sqrt(68))**2).\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 356621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -331 + 574. Let j = -247 + c. Sort -5\/3, j, -0.2 in ascending order.\nAnswer: j, -5\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99cb2 (base 16) to base 8.\nAnswer: 2316262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgmapkagpgmapkgagg. Give prob of picking 1 x, 1 g, 1 k, and 1 m.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 64 = 4. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 2*f + 3. Let n be w(-3). Suppose -i + n*i = 735. Let v(k) = 20*k**2 - 2*k + 3. Let h be v(1). Calculate the highest common factor of h and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 16*i**2 + 16*i + 11. Let l be x(8). Suppose 0 = -d + 3*t + 4001, -4648 = -d + 2*t - l. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 7 + 0)*(-53 - 183 + 3)*(-5 + 5 - 2 + o) in the form s + t*o and give s.\nAnswer: 4660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*d = -n - 725, 267 = -2*n + 3*d. Let m = 146 + n. Solve -i + 15 = -6*i, -3*i - 34 = m*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**6\/30 - v**4\/24 - 5*v**2. Let g be w(2). What is the highest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5 - 9980*m**4 - 9614760*m**3 + 28904180*m**2 - 28924150*m + 9644712 = 0?\nAnswer: -3684, -1309, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (-2 + 10 + -15) - -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -238*y**3 - 26*y**2 + 914*y + 4. Let x(l) = -359*l**3 - 41*l**2 + 1371*l + 5. Let r(h) = 8*t(h) - 5*x(h). Find the second derivative of r(b) wrt b.\nAnswer: -654*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -16. What is the closest to 2 in r, -5, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11689 - 652. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w. Let h(t) = -2*t**2 + 12769*t + 484. Determine h(i(q)).\nAnswer: -50*q**2 - 63845*q + 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 divided by -2.\nAnswer: -93\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101010 - 10000001010?\nAnswer: -1101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11 and -8\/14977.\nAnswer: 14977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(378\/(-88)) - ((-44)\/(-12) - 2). Which is the closest to 0.2? (a) -1 (b) m (c) 135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.41679 rounded to one dp?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**4 + b**3 - b**2 - b + 1. Let s(h) = 21*h**4 + 2*h**3 - 2*h**2 - 25*h + 2. Let q(v) = 2*j(v) - s(v). What is the second derivative of q(n) wrt n?\nAnswer: -276*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6348788*j*m**2 - 487*m**2 - m - 451 wrt j?\nAnswer: -6348788*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12815.2079 to the nearest one hundred.\nAnswer: -12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54\/9089 - -4\/149. Let k be (-7)\/(-14) + 1\/2. Which is smaller: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**4 + 2*r**4 + 0*r**4)*(-11 - 2 - 15)*(-4 + 2 + 3).\nAnswer: 28*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 9) to base 2\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1610?\nAnswer: 8050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*q = 2, 5*q = 3*j - 1080 + 1106. Let g(l) = 1 - 2 + 5 + 10*l. Let x(m) = -3*m - 1. What is j*x(t) - 2*g(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o**2 - 18*o + 34. Let s be w(2). Solve 0 = -8*k + s - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) - 23\/(-2). Suppose 2*o + i - 13 = -3*o, 4*i + j = o. Determine k, given that 1\/2*k**o + 1\/2*k + k**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**2 + 295*c - 2. Let k(f) = 2*f. Give m(k(t)).\nAnswer: 32*t**2 + 590*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 35. What is the remainder when 33 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 1. Suppose 0*g = g + 1. Let d(n) = -n**3 + 11*n**2 - 5*n - 5. Let t(o) = g*d(o) - 5*k(o). What is t(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 6. Let z(o) = o**3 - 7*o**2 + 8*o - 8. Let n be z(j). Suppose 0 = 3*a + 3*f + 6, 5*a - n*f = 8 - 27. Which is smaller: -5\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78862, -78869, -78882, -78901, -78926, -78957?\nAnswer: -78994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 0 - 9 + 3 + 3*z + 0. Let d be 200\/15 + -1*(-2)\/3. Let n be (d\/(-2) - -3)\/(-2) - -2. Determine v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3532? (a) -4 (b) 9 (c) -0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t\/(t\/(t\/(t*t*t**(-6)))))\/t*t*t*t**0)\/(t**(-2)*t**(3\/5)\/t))\/((t*(t\/(t\/(t**(-1\/3)*t)))\/t)**(-2\/15))**(-2\/61) assuming t is positive.\nAnswer: t**(5708\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -2, -0.3, -0.01, -1, 8 in decreasing order.\nAnswer: 8, -0.01, -0.3, -1\/2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 7. Let y be 1125\/(-99) + 4 - 24\/(-66). Put b, -2, y, 1 in decreasing order.\nAnswer: 1, -2, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -de662 - -12?\nAnswer: -de650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = -3457 - 103. Let v = f - -179. Calculate the greatest common factor of 11 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 352*w - 350*w - 5, -4*m = 5*w - 29 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 27*d = -5010. Suppose -5*y - d = -7979. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 17*p + 30 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (-190)\/(-5)*-10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 581.731 * -1114\nAnswer: -648048.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24397307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1 - 1 - b - 1. Let o(x) be the first derivative of 3*x**2\/2 + x + 59. Determine -2*c(f) - o(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4544*i**2 - 45*i - 3.\nAnswer: 9088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -147*g**8\/8 - 5*g**4\/24 + 19*g**3 - 6417*g**2. Find the second derivative of y(w) wrt w.\nAnswer: -123480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -3.05.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6225 is divided by 621?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2675 + -1.7325. Let p be -1 + (-7)\/(-3) + 0. Let q = -0.1 - 3.9. Which is the closest to t? (a) -3\/5 (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*o = -35*o - 56 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 3\/6)*-4. Suppose -t = -4*n - 2*h - 0*h, -3*h + 11 = 2*n. Let x = -2 - n. Are x and -1\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 28. Let v(o) = -o + 31. Let t(u) = 5*b(u) - 4*v(u). What is the smallest common multiple of 33 and t(10)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5\/l**(2\/7) assuming l is positive.\nAnswer: l**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1974.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/70 - -153\/910. Suppose z - 3 = -0*z. Suppose 2*m - z*m + 3 = 0. Which is the second smallest value? (a) -0.5 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35673681 to the nearest integer?\nAnswer: 5973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-48)*(17 - 1557\/45)*(-12)\/(-10).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 2*v**2 - 1\/60*v**5 + 1\/12*v**4 + 0 + 1\/3*v**3 + 0*v. Let t = -154 + 151. What is w(t)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163619, -327246, -490883, -654536, -818211, -981914, -1145651?\nAnswer: -1309428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b80 - 14?\nAnswer: -1b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k + 37*k + 424 = 0. Let u = 327 - k. List the prime factors of u.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.94 - 32.74. Let x = -4 + 3. Let r be (-6)\/(-20)*(1 - x). Put r, 2, f in decreasing order.\nAnswer: 2, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 - 6*j**3 + 5*j**3 + (j - 3*j + 4*j)*(0*j**2 + j**2 + j**2) - 126 + 45*j**3 + 126 + 2 - 4*j**3 - 2.\nAnswer: 43*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 9\/38 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3\/23 - 154*a**2\/23 - 448*a\/23 - 296\/23 = 0.\nAnswer: -74, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 64. Calculate the common denominator of 1\/(-12)*412\/(-6) and 5\/(240\/y)*(-1 + 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-7 + 4) - 3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 3*k**2 - 119 + 3*k**2 - 3*k**3 - 494.\nAnswer: -4*k**3 - 613","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 + 2694835.52855.\nAnswer: 2694837.72855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 131, 181, 249, 341, 463?\n\"Answer: v**3 + 3*v**2 + 34*v + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**13)\/((n\/(n\/(n\/(n\/(n\/n**14))*n)))\/n) assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 15*p**2 + 51*p + 63.\nAnswer: -3*(p - 3)*(p + 1)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2886\/260)\/(6\/5) - 9. Let c = -0.11 + -1.89. Put 1\/3, o, c in decreasing order.\nAnswer: 1\/3, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4*(-12)\/(-4))\/2. Calculate the highest common factor of n and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8509*w - 76897 = -427501 + 191049 - 725381 for w.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2.5 (b) -1 (c) -24 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 677863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 + 9*m - 22. Let j(l) = -8*l**2 + 18*l - 45. Let o(c) = -5*i(c) + 2*j(c). Calculate o(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0 + 2, -4*q = -u - 2. Suppose -3*o + 251 = a, u*o - 5*a = -0*o + 156. Let n = o - 47. Calculate the highest common divisor of 24 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3.6 (b) 0.16 (c) -2 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + q + 2. Let f be j(0). Suppose 1 = -f*o + 5. What is the first derivative of -3 + 4 - o - 2*v wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 6963988 = 15*j + 3*k, 4*j + 13928016 = 4*k. Round j to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1093 = 15*k - 1228 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 0*l**5 - 1\/5*l**3 + 0*l + 2\/5*l**6 + 0*l**2 - 9\/20*l**4 - 108. Factor t(g).\nAnswer: 3*g**2*(g - 1)*(2*g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2287, -2289, -2293, -2299?\n\"Answer: -n**2 + n - 2287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-360)\/(-1404)) - 11.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113120001 (base 5) in base 12?\nAnswer: -210b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 + 0.03. Let h = 2.7 + t. What is h rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(1 - 12\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 62853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -320*z**3 - 3*z**2 + z + 4. What is the tens digit of h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1217232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -74. Let m = 19.9 - s. What is the smallest value in 2\/9, m, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 3:18 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.2\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (8 - 17 - (-9 - -1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:52 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (-5*sqrt(275)*-3)**2 - -3*(sqrt(275) + 2 + sqrt(275) + 2)).\nAnswer: 180*sqrt(11) + 371316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(432) + 5 - -3*(0 + sqrt(432)) - 6*(sqrt(432) - (0 + sqrt(432)))*-3)*-3)**2.\nAnswer: 1080*sqrt(3) + 4113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 42. Let m(i) = i + 1. Let o(b) be the first derivative of 2*b**2 + 2. Let p = 6 - 8. Give p*m(a) + y*o(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2 + 7 - 2*v**3 + 8*v - 3*v + 3*v**3 - 2*v**3. Give t(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.2 (b) 0.4 (c) -0.5 (d) -0.026 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 p, and 1 j when three letters picked without replacement from kikikkzikkkkjjikkp.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = z - 18, 4*z = 5*j + 7*z - 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 5*c - 1. Let w(b) = b**3 + 10*b**2 - 12*b - 7. Let a be w(-11). Let r be v(a). Factor 0*x + 1\/2*x**5 + 0 + 1\/2*x**r + 0*x**2 + x**4.\nAnswer: x**3*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616560 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630*p + 168 = -672*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -302\/99 - -36\/11. What is the nearest to -2\/7 in 2\/19, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = m, -s - 19467 + 19486 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 45, 0.1, 1.3 in descending order.\nAnswer: 45, 1.3, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 107268678 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.404022s to milliseconds.\nAnswer: 2404.022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4910 + 4909.5. What is the nearest to 2\/5 in d, 4, -854, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 + 65*k. Let w(f) = 5*f**2 - 74*f + 1. Determine -7*p(z) - 6*w(z).\nAnswer: -2*z**2 - 11*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43770 + 66921. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -41, -77, -123, -179?\n\"Answer: -5*n**2 - 11*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, -2, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2923808 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*n = -0*n + 2, 3*r - 4*n = 33. What is the lowest common multiple of r and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3)*-6 - -3*sqrt(80).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/27)*(s**(-2\/17)\/s)\/s)\/(s**15\/s**(2\/77)) assuming s is positive.\nAnswer: s**(-566110\/35343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1696 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10300 (base 4) to base 11\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -55, 1, -16, 72986, -1\/4, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*(h*h**(2\/9)*h)\/h*h))**(-15\/7)\/(h**(-3\/8)\/h*h*h**(-1)))\/((h**(3\/2)*h*h**(-2))\/(h**(4\/7)\/h**(3\/5))) assuming h is positive.\nAnswer: h**(8311\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from papa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (12\/21 - 2) + ((-1968)\/(-84) - -36) + -18\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s + 29 - 29 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngl when three letters picked without replacement from {h: 2, z: 1, g: 1, l: 1, n: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 581783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-2)*g**(-5)*(g*g\/(g\/(g*g**(-3\/5)))*g)\/(g*g**(2\/9)) assuming g is positive.\nAnswer: g**(-217\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**9\/504 + 43*d**7\/21 - 347*d**5\/60 + 2300*d**2. What is the third derivative of j(s) wrt s?\nAnswer: -120*s**3 + 10320*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18327 - -18603. Calculate the highest common factor of a and 1311.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 2)*(2*s**4 + 0*s**4 + 0*s**4) + 0*s**4 - s**4 + 6*s**4 to o*s**3 + v*s**2 + f*s**4 + k + y*s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -13*i - 2*i + 3*i. Let s(o) = -3*o + 2. Let m be 9\/(27\/(-2)) - 40\/(-6). Let t(k) = 15*k - 12. Let g(v) = m*s(v) + t(v). Give g(a(p)).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.08 - -1.08. Let x = 1 - 0. What is the closest to x in -0.2, 2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5712.94189 to the nearest ten.\nAnswer: 5710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11484, -11527, -11574, -11625, -11680, -11739, -11802?\n\"Answer: -2*b**2 - 37*b - 11445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3196.4 + -200?\nAnswer: -3396.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2092 and -0.4?\nAnswer: -836.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 9. Suppose 6 = -3*q, -3*m + 3*q + 8 - 29 = 0. Let w be j(m). Let c(y) = -y**2 + y + 24. Does 24 divide c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641.7753 centuries to years.\nAnswer: 64177.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 145 + 45*t + 19 - 43*t in the form w + c*t and give w.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 11*c**6\/15 + c**5\/20 + c**3 + 4*c**2 + 1. Find the third derivative of w(k) wrt k.\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3044)\/(-6) - 5\/15. Let z = -350 + h. Suppose -4*n = 45 - z. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -16*t - 1. Let o be x(-7). Let q = -566 - -576. Suppose 110*w - o*w + q = 0. Calculate the smallest common multiple of w and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/8))**45 assuming v is positive.\nAnswer: v**(135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(c + 3*c - 3*c) + 403*c + 40537 - 40537.\nAnswer: 404*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 878 + 1288 = 1862 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(-2\/13)*c))**(2\/7)\/((c\/c**(5\/11)*c*c*c)\/c**(-17\/4)) assuming c is positive.\nAnswer: c**(-29893\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**2\/2 + 19*m - 5073. Suppose 4*s + 5*j - 15 = 0, s - 4*j = 3*s. What is u(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1582 < -1582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/884 and -53\/4862?\nAnswer: 9724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59336*p + 43184*p - 50573*p.\nAnswer: -66725*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = 3*r - 0, 4*r - 4 = 0. Suppose 2*s + f*s = 8, 0 = -2*u + 2*s - 4. Suppose 0 = -u*i + i - 16. What is the highest common factor of 112 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)\/(f\/((f\/f**45)\/f)))\/(f**(-1\/12)\/f)**47 assuming f is positive.\nAnswer: f**(271\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*p - 69112*p**4 - 3 + 69098*p**4 + 8*p**2 + 3 in the form i*p**4 + n*p + d + w*p**2 + o*p**3 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 16*g - 13. Let n be x(14). Let c be (-2)\/2 + -2 + 7. Solve -c*k = -k - n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121101 + 242203 + 106*s + 40*s - 121102.\nAnswer: 146*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13906984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13718, -13729, -13740, -13751?\n\"Answer: -11*p - 13707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 241 - 76. Suppose 13 = -7*m + a. What is the third derivative of 12*d**2 - 4*d**2 + 10*d**2 + m*d**4 wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3543 and 4724.\nAnswer: 14172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6461837 = -166*i - 2474517. Is 34 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, 65, 467, 1247, 2531, 4445?\nAnswer: 7115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 577*j + 4*j**2 - 290*j + 2 - 289*j + (0*j - 9*j + 0*j)*(2*j + j - 8*j) to the form s*j**2 + x*j + w and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*u - 65*u**3 + 6*u - 3*u**2 + 0*u**2 - 24*u to the form y*u + i*u**2 + m*u**3 + j and give m.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -377 - -381. Suppose 16 = p*b - 4*z, -3*b + 0*z = 4*z - 12. Solve 5*o = 4*o - b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 974488 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 14.3, -8, 1\/3, 1.1, -2 in decreasing order.\nAnswer: 14.3, 1.1, 0.4, 1\/3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) + 33\/6. Suppose -z = g*c - 20, -4*z + 2*z + 26 = 3*c. Let r = 10 + z. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2011076, 4022216, 6033416, 8044676, 10055996?\n\"Answer: 30*y**2 + 2011050*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(6\/(-45)) + 2408 + -2413.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**2 - 9*b**2 + 0*b**2 + 2*b**2.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -15, -2, 5 in decreasing order.\nAnswer: 5, 0, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s*s*(s\/s**(-2\/7))\/s*s))\/s))**(-4\/15)\/(s\/((s**(4\/7)*s)\/s)*s**(-5)))\/((s\/s**1)**(-24)*s\/(s*s**(-2\/9))*s\/s**(3\/7)) assuming s is positive.\nAnswer: s**(166\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**1)\/q)**32)**(-30) assuming q is positive.\nAnswer: q**(-960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -188*k**7\/7 + 3157*k**3\/3 + k**2 - 5142. Differentiate o(z) wrt z.\nAnswer: -22560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o. Let x(i) = i - 4. Let n(g) = -1. Let s(z) = -z + 7. Let m(j) = 4*n(j) + s(j). Let r(a) = 4*m(a) + 3*x(a). Determine r(b(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 6, -11, -36, -69, -110?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 18 + -2 + -2 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15198 by 2.\nAnswer: -7599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837181 is divided by 179?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*6\/126*276. Let u = 199 + w. List the prime factors of u.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -17. Which is the nearest to -1? (a) -0.4 (b) 9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 11*k - 28. Let p be d(7). Suppose p = 18*u - 306 + 126. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-276)\/(-16) + (-2)\/8. Suppose 0 = -6*k + 2 + 16. Suppose -k*h = -7 - f. What is the smallest common multiple of h and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 84 - 35)*(2 + 3 + 0)*(-l + l - l).\nAnswer: -125*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -4*d - 82, -d + 65*h - 64*h - 16 = 0 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(95) + sqrt(95)*3)\/sqrt(5))*-2 + -5.\nAnswer: -8*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, 105, 436, 1107, 2232, 3925, 6300?\n\"Answer: 19*o**3 - o**2 - 25*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 3*(1 + -3) - 3. Solve -3*l = -a*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8687049 to the power of 1\/2, to the nearest integer?\nAnswer: 2947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 8*t**2 + 20*t + 2. Let r be n(10). Suppose s = z - 1, -3*s + r*z = 6*z - 11. Solve -c = 4*m + 10, 3*c - m + s = -3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41 + 2a363?\nAnswer: 2a3a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2498749023 to the nearest integer?\nAnswer: 49987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:44 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/(-44) + 1*-2 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7530.8 - -7531. Let d = -1.6 + -1.4. What is the nearest to 10 in s, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -10.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9651 - -9654 - (18 - (-2 + 1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s. Let i(b) be the first derivative of 7*b**6\/360 - b**3 - 4. Let v(y) be the third derivative of i(y). What is n(v(u))?\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9323376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*1*-3)\/(-2*sqrt(180)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfccccfc. What is prob of picking 4 c?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) - sqrt(468)*-4)*-4 + -3*(sqrt(468) + 4*sqrt(468) - sqrt(468)))\/((sqrt(432)\/(sqrt(8)*-2))\/((sqrt(6) - sqrt(54))*1)))**2.\nAnswer: 851968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*9.\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 830 = -1774. List the prime factors of f.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 406 and 899.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 6*h + 10*h)*(2*h**2 - 4*h**2 + 2*h**4 + h**4).\nAnswer: 30*h**5 - 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 - 3 + 6)*(-j + 2*j - 3*j) - 4*j + 4*j + 3*j + (7 - 6 + 3)*(3*j - 2 + 2))*(2*j - j + 2*j)*(j**2 - 6*j + 6*j).\nAnswer: 63*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2. Let a be n(1). Suppose 7 = a*t - 5. Suppose y + 0 = t. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-21) + 48\/42.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21869433\/353 + 61953. Let h = a - 33391\/2118. Let m = -589\/574 + -201\/41. Calculate the common denominator of h and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 35*g**2 - 106 + 106 - 24*g**2. Let l(w) = -2*w**2 + 6*w**2 - 3*w**2. Give j(l(i)).\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 9.371661551?\nAnswer: 9.571661551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxvc when four letters picked without replacement from {v: 12, x: 3, c: 1}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -539*g**3 - 4*g**2 - 6*g + 240. Let t(v) = -1077*v**3 - 7*v**2 - 10*v + 478. Let h(u) = 4*t(u) - 7*x(u). Differentiate h(c) with respect to c.\nAnswer: -1605*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*2\/((-20)\/6). Suppose 2*u - 9 = -g. Suppose 0*z = 3*o + z - 25, -5*o - u*z = -39. Solve -r = -3*m + o - 4, 0 = m + 3*r - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -371*d**2 + 2*d + 6. Let v(o) = 760920*o**2 - 4103*o - 12309. What is 4103*f(s) + 2*v(s)?\nAnswer: -373*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96354540?\nAnswer: 2, 3, 5, 535303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10110112 (base 3) to base 12\nAnswer: -1565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 68381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*24520.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obdd when four letters picked without replacement from {o: 3, b: 1, k: 2, d: 6}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13760749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*r - 2*r. Factor -2*s**2 - 3 + 6*s**r - 8*s - s**2.\nAnswer: (s - 3)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -528 + 839. Suppose 3*l + 134 = c. Calculate the remainder when 353 is divided by l.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 158*i - 42. Let x(u) = 158*u - 32. Give 3*v(w) - 4*x(w).\nAnswer: -158*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -24.9. Let m = 1404493 - 1404495.100042. Let d = m - t. Round d to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2 + 17348*w + 17344 = 0. What is w?\nAnswer: -4336, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**3 - 3*g**3 - 2*g**3)*(g**2 - 16 + 16) + 2*g**5 - 5592*g**3 + 5526*g**3 + g**5.\nAnswer: 4*g**5 - 66*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 14. Let s be b(7). Suppose 5*v - 8 = v. Let u = s + v. Solve 7*j - u*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30 + 11*l + 30 - l + l + 2*l + (0 - 2*l + 0)*(-2 + 1 - 1) - 3*l + 2*l + 3*l.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 304 = -276 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 = 1. What is the highest common factor of y and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -75789.44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -2*(1 - 0). Let c be 1\/10*((-48)\/(-3))\/8. Let b(d) = d**2 + 4*d + 4. Let x be b(-3). What is the third biggest value in x, c, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 (base 8) in base 13?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 106*o**2 + 102*o + 315. Let g be k(105). Solve 5*z - 39 = 4*j - 14, g = 3*j - 5*z + 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59)\/((-78057)\/(-42))*7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -242201\nAnswer: 72660.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3444 (base 5) to base 10\nAnswer: -499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjyjyjjjjyjj.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**3 + 43*r**2 - 15*r + 28. What is the units digit of y(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*k*l**2*q**3*t - 5*k*l**2*q*t - 3*k*l*q - k*q**3 + 12*l**2*q**3 wrt t?\nAnswer: -11*k*l**2*q**3 - 5*k*l**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 19*b - 23. Let w(s) = -16*s + 22. What is -5*t(n) - 6*w(n)?\nAnswer: n - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3, 0.4, 2\/13, -37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*5 - 51\/1632*336.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - 13203?\nAnswer: -13156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 3*c**2 + 4*c - 3. Let p be a(3). Let f = 2 + p. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + n + 3 = 0, 3258*n - 3254*n = 5*b + 40 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 135.035?\nAnswer: -540.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 18. Suppose -2*i + 2 = 2*c, b = 4*c + c - 2*i. Factor -2 - 2*n - 1\/2*n**c.\nAnswer: -(n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 18372336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:24 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 1. Let o be z(8). Suppose -h + 6*h = -v - 15, -3*h - v - o = 0. Let p = -5.1 + 5. Which is the nearest to p? (a) h (b) 2\/3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 192 = -2*b - 2*y, 0 = 3*y. Let p = 217 - b. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2148*r**3 + 49287*r**2 + 2691*r.\nAnswer: -3*r*(r - 23)*(716*r + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -24. Let g(t) be the third derivative of t**4\/12 + 2*t**3\/3 - 133*t**2. List the prime factors of g(o).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66884 * -1.\nAnswer: 66884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45180460 to the nearest integer?\nAnswer: 6722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*o + 17 + 7, a + 2*o = -3. Let x(z) = -8*z - 1. Let w(t) = -15*t. Let c(n) = -5*w(n) + 9*x(n). Determine c(a).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frprfpfpiipiif. What is prob of sequence ff?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4)*70\/(-7). Let g be 1*2\/4*6. Suppose -l = g*q - 4*y - 53, 0 = 5*q - y - 52. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 + 4.19. Let p = -2.5 - -3. Which is the second biggest value? (a) s (b) -2\/9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -721.5 - -721. Let t = 2 - 6. Let o be (13\/234)\/(1\/(-4)). Which is the nearest to o? (a) t (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 253506 and 11394?\nAnswer: 481407894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 16) to base 5\nAnswer: -2132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, -261, 3, 2\/5, -5\/2 in increasing order.\nAnswer: -261, -131, -5\/2, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-57824)\/7784)\/(1\/(-28)*2)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7790437ml to litres.\nAnswer: 0.0007790437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.5. Let u = d + 0.1. Let n = 2.7 - 2.7. Which is the nearest to u? (a) n (b) -2\/5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 <= -165271\/9685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1756)\/(-351) + -12 + 23 + -16. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2\/11 + 9756*z\/11 - 11897442\/11 = 0.\nAnswer: 2439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -121, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/12 and 119\/744?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1165 and -11*(-13)\/143 + 38\/(-5).\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 b when four letters picked without replacement from {b: 1, j: 11, w: 8}.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 3. Let f be a(2). Let s(c) = c**3 - 5*c**2 + 3. Determine s(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41488730, -41488729, -41488728, -41488727, -41488726?\nAnswer: -41488725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)*-1 + -2 + (sqrt(19) + (2*sqrt(19) + 0)**2)*1.\nAnswer: -sqrt(19) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/3 != 3643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168023638.\nAnswer: 2, 84011819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 11, 2314942?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**4\/4 + 10*g**3\/3 - 2*g**2 + 305*g + 7385. What is the second derivative of b(l) wrt l?\nAnswer: 6*l + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in -2\/3, 3\/2, 105, 1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310175981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (115 + -113)\/(15*6\/9). Which is the fourth smallest value? (a) -2 (b) p (c) 2 (d) -12 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 - -3. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 442865\nAnswer: 442865.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400424*w - 4*w**2 + 400424*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.0312 tonnes in milligrams?\nAnswer: 39031200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(5) + sqrt(30)\/(sqrt(30)\/sqrt(5))) + 2)*1)**2.\nAnswer: -48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 16?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93832 is divided by 31110.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + g + 3143*g**2 + 1801*g**2 + 1383*g**2.\nAnswer: 6327*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 54, 100, 158, 228, 310?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 8 = -4*m. Suppose -m*g = -6*g + 20668. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 190\/(-456) + (-1)\/(-2). Let v(g) be the third derivative of 1\/2*g**3 + 0*g + 2*g**2 - x*g**4 + 0. Differentiate v(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/7, -19, -0.006, -109?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*k + 159851 + 991674. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 10710.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 10.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:33 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 392 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w + 3. Give f(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2324788, -2324782, -2324772, -2324758, -2324740, -2324718, -2324692?\n\"Answer: 2*j**2 - 2324790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 228 - 203. Suppose 0*u - 13 = -u. What is the remainder when k is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**5 - 20*h**4 + 28*h**3 - 12*h**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 4:15 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 4438.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/42 and -98\/3795.\nAnswer: 53130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-1\/3)*u**(-7)*u*(u\/((u\/u**(-4\/3))\/u)*u)\/u*u*u*u**(1\/2)*(u*u**(3\/5)*u**(-7))\/(u**(1\/6)\/(u**(-1\/7)\/u)) assuming u is positive.\nAnswer: u**(-967\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8844131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/15649865 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + 40*n + 2 + 16*n - n.\nAnswer: 60*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*n = 15, 2*w - w + 5 = -n. Suppose -4*l - 8 = w, 2*g + l = -2*l + 114. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, x: 2, n: 1, c: 2, v: 1}. Give prob of sequence vnux.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (345 - 334) + (-1 - -17).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25857317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/5)*h**(2\/19))**(-23) assuming h is positive.\nAnswer: h**(-1541\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhwiqhhiuiiwhuiwi. Give prob of sequence hwi.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 + 885991*a - 784980052081\/2.\nAnswer: -(a - 885991)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - u + 6*u. Let o(m) = 5792 + 4*m + 5785 - 11599. Calculate o(k(q)).\nAnswer: 8*q - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 374 and 68.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 29*k**3 - 2*k + 1. Suppose m + 5*v - 16 = 0, 8*m - 3*m = 4*v - 7. Give s(m).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/266 and -57\/7.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1202*r + 48*r + 10355 = 419*r + 62264 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 902 - 668. Calculate the highest common divisor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/((-13)\/(-26))*6\/7.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98699345 - 38236259. Let d = k + -60463060.0000215. Let f = -26 + d. Round f to six decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from {x: 4, o: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:52 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b + 24*b**4 + 6*b**4 - 15*b**2 - 15*b**4 - 1 - 3*b wrt b.\nAnswer: 360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, z: 3, r: 1, b: 3, d: 1}. What is prob of picking 1 c, 1 r, and 2 b?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 33*g**2 + 137*g - 572. Calculate the remainder when (1*58)\/1 + -2 is divided by u(29).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -409822.9 - 4.\nAnswer: -409826.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 + -100. Suppose 3*t = p + 7*t - 8, -p = -4*t. Suppose -3*h + 5 + 7 = 2*g, 0 = h - p. Put g, a, -1\/5, 2 in ascending order.\nAnswer: -1\/5, g, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -12*j + 17. Calculate m(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q + 21. Let g = 0 - 3. Let d(w) = -9*w + 42. Let r be (-1)\/2*-12 + (13 - 14). Let k(t) = g*d(t) + r*b(t). Differentiate k(o) with respect to o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.597? (a) 0.4 (b) 0 (c) -2\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 712737 divided by -1\nAnswer: -712737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1482237.99 to the nearest 1000.\nAnswer: -1482000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1015, 8258, 17531, 26804, 36077?\nAnswer: 45350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l - 2 - 2*l**2 + 6*l**2 - 2*l**2. Let s be j(2). Solve -3*i = g - 6, -4*i - g + s = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 15*w**3 - 5*w**2 - 2. Let n(l) = -7*l**3 + 2*l**2 + 1. Let d(q) = -10*n(q) - 4*y(q). Differentiate d(m) wrt m.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 3*b**2 - 3*b**2 + 11*b**4 - 390*b**2 + 390*b**2 + (b**3 + 1 - 1)*(16*b - 3*b - 2*b).\nAnswer: 21*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90625.687 - 90724. Let k = 201.8 + -103.8. Let p = k + n. What is p rounded to two dps?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 2. Let o be u(-3). Suppose -3*h + 4 = -o. Solve 2*w - h*b + 5*b = -4, 2 = -w + 5*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 - 3*x**4 + 0*x**4 + (0*x**4 - 5*x**4 + 3*x**4)*(-3 - 1 + 2)*(-4 - 5 - 1))*((2*x - 2*x - x)*(5 - 1 - 3) + (-3 + 2 - 2)*(0*x - 2*x + 3*x)).\nAnswer: 168*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 59999337 = -4*w + 33996661, 2*w - 3*p - 46998006 = 0. What is w rounded to the nearest one hundred thousand?\nAnswer: 23500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34678493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Suppose 9*x = q*x + 1005. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) - (2\/(-22))\/((-18)\/99)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 3:04 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-351)\/69 - -3 - (-7)\/21*6?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12832 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2288*g**3 - 3204*g**3 + 0*g + g in the form d*g**2 + v*g**3 + f*g + x and give v.\nAnswer: -916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.928 + 6.928. Which is the third biggest value? (a) -7 (b) o (c) 4 (d) 0.095\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 8*q**2 - q - 7. Let f be c(-8). Is (-623)\/14*f*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**2 - 578*f - 2*f**3 - 2*f**2 + 543*f to the form c*f**2 + r + d*f**3 + u*f and give u.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, e: 2, j: 2, h: 1}. Give prob of sequence jje.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3868525 by 5.\nAnswer: 773705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 15*o - 336 + 16*o + 335 - 32*o. Let q(m) = 4*m + 13. Determine 6*b(z) + 2*q(z).\nAnswer: 2*z + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 + 2*l**5 - 3*l**5 + (-8*l**3 + 0*l**3 + 0*l**3)*(3*l - l + 5*l)*(l - 2*l + 3*l).\nAnswer: -113*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 1347 = g + 1351 - 2710, 2*x = -5*g + 24 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 5445*n**2 - 567340*n - 15518400.\nAnswer: -5*(n + 53)*(n + 60)*(n + 976)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62901\/337 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 2 = -2*f + 2*g, -4*f = 2*g + 4. Let d be -4*(95\/(-20) - f\/(-4)). Solve -2*m - d = -3*i, -4*i + 16 + 12 = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4810*m = -4842*m + 96 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -70?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 2 - 4*i + 16*i**2 + 2*i**3 + 0 in the form p*i + c + k*i**2 + v*i**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -266, -400?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 300 + -297. Put u, -2, -6 in descending order.\nAnswer: u, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892507297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -295 - -241. What are the prime factors of 1821\/18 - (-9)\/g?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(272) + -1 + -5 + -6*(2 + sqrt(272)) + (sqrt(272) - ((sqrt(272) + -1 - sqrt(272)) + 4) - (sqrt(272) + (sqrt(272) + 1)*3)))**2 + -2.\nAnswer: 1536*sqrt(17) + 17985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.66051ng in milligrams?\nAnswer: 0.00000666051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.93 + 0.07. Let l = 3.5 - 2.84. Let t = -0.86 + l. What is the third biggest value in 5, p, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 267727*j**4*y**2 + 10*j**2*y**2 + 552*j**2*y + 3*y + 3 wrt j?\nAnswer: 6425448*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8599516 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*((-2479136)\/12)\/22?\nAnswer: 2, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313*b = -71*b + 243*b - 495835385. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x + 37. Let k be (-5)\/(-2)*440\/(-100). Let a(q) = 7*q - 75. Let b(h) = k*z(h) - 6*a(h). Let l(u) = -2*u**2. Calculate b(l(j)).\nAnswer: -4*j**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 5*g - 5*a - 68, 0 = -5*g + 2*a + 124. Suppose 6 = 5*p - g. Let b = 55 + -49. Calculate the highest common divisor of p and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwt when three letters picked without replacement from lltwowtwtw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/8 + r - 1\/8*r**2.\nAnswer: -(r - 7)*(r - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = 5*n, 0 = -n + 4*y - 1 - 3. Solve -4*g - 4 = -n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o - 43. Give b(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128.6 - 112. Let z = g + -21.6. What is the biggest value in z, 3, 1\/6, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*s - 37 = 0, 0*g + g - 1 = 2*s. Calculate the remainder when 8\/((-2)\/(-18)*6) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2669778 and 97\/43326.\nAnswer: 77423562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0 - 8. Suppose h + 1 = 5*y + 3, y = -f*h + 4. Suppose 5*o + 320 = 2*b, -8 = h*o - 0. Round b to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6373, 4, -606 in descending order.\nAnswer: 4, -606, -6373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 + 5*w + 11. What is r(6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h + 6. Put -1, -4, h in increasing order.\nAnswer: -4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-67\nAnswer: 46.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 179*r**3 + 216 + 45*r**3 + 111*r**3 - 74*r**3 + 5*r**3 wrt r?\nAnswer: 798*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -0.2, -2.6, 0.3, -10 in descending order.\nAnswer: 0.3, -0.2, -6\/11, -2.6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 508771 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -539, -378, 639, 2968?\nAnswer: 7065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3167?\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**18*d)\/(d*d*d\/d**(-2\/13)*d*d))**(6\/23) assuming d is positive.\nAnswer: d**(1080\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48611 is divided by 534.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:02 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -11 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7047, -14100, -21151, -28200?\nAnswer: -35247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*f - 95*f + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3 + 285\/95?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -268615, -268609, -268591, -268555, -268495?\n\"Answer: g**3 - g - 268615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -baba3 + 64?\nAnswer: -bab3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3790 + 336.3.\nAnswer: 4126.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9*(-3)\/2. Let n be (-1 + -2)\/((-54)\/(-72)). Let s be n\/(-6)*(-10 + 13). Sort b, 11, s in ascending order.\nAnswer: b, s, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14070.\nAnswer: 2, 3, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3790, 5206, 7580, 10924, 15250, 20570?\n\"Answer: 2*r**3 + 467*r**2 + r + 3320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110854.\nAnswer: 2, 43, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -486\/9667 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5836 + -5833. What is the smallest common multiple of 1077 and d?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a hour in minutes?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 34 (b) -0.133393 (c) -0.2 (d) -3\/8 (e) 4 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -770977 != -770977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -17*u + 20. Let g be m(10). Suppose 0 = -5*q + 35*l - 38*l - 741, 745 = -5*q - 5*l. Is q <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419791 is divided by 195?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -47, -91, -157, -245?\n\"Answer: -11*f**2 + 11*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(4\/6) - -6. Differentiate -6*s**3 + 2*s**3 - 4 - 3*s**o wrt s.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -117*z - 5. Let g = 247 + -265. Is n(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 134, 137, 140, 143, 146?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 914*l - 801 = 972*l + 11 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 928*c + 9279. Calculate z(-8).\nAnswer: 1855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/20 - (-4 - (-99)\/(-15)). Let p(k) = 18*k - 165. What is the remainder when p(w) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 - 89. Suppose -4*o + s = 33. Solve -11 = o*j - 4*t, j - 7 = -0*j - 4*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 6 - (-5 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in 1\/5, -0.4, 2, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/(-259))\/(1*10\/(-35))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321 - 3011013?\nAnswer: -3012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264 + 509. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 6. Let c be u(-8). Let t = -1116.2 - -1116. Let z = -2 - -1. What is the nearest to z in t, c, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7775 is divided by 199.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/((-3)\/(5*56\/35)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -56 - ((-33)\/9 + 1925\/(-105))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c**2 + 6*c**2 - 19*c**2)*(114*c + 2 - 113*c - 4 + 3 + 4).\nAnswer: -23*c**3 - 115*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 563534009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/6 - 2)\/(66\/(-18)). Which is the closest to x? (a) 1 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 5)*(-4)\/(-24)*6. Suppose -15*z - n*z = -38. Solve -z*a = 5 + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 99744.89t?\nAnswer: 99744890000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 369603 divided by -351?\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 11*h - 5*h - 13 = -8*c, h = 4*c - 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 13319865?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t**4 + 3*t**4 - 5*t**4 + (4*t**4 + 0*t**4 - 7*t**4)*(-19 - 3 + 5))*(2*t + 0*t + t).\nAnswer: 174*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/3400 and -69\/100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 156*d + 2853. Determine v(-21).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 23*u**5\/30 - 47*u**4\/12 - 269*u**2. What is the second derivative of f(s) wrt s?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 105 - 25 = 0. Let z = s + -22. Let m be 7 - (2 + (z - -3)). Solve -3*c - 2 = 4*x, 0 = 5*x + c + m*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1076 = -296. Suppose 0 = 6*q - q - x. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -21.78, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -47714, 4\/5, -2\/15, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 3*p - 3. Let i = -8 + 1. Let b = i + 2. Let a = b - -9. Give l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7964, 7933, 7902, 7871, 7840, 7809?\nAnswer: 7778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + 0.1. Let n be 0*(1 + -2) + 0. Let s = 1 - 0.5. What is the closest to -0.1 in g, s, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1)\/(237\/158).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2145 and -103\/4006938.\nAnswer: 220381590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26595640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {k: 2, g: 1, u: 2, h: 3, n: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10898 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*c + 7*c - 41, -2*c = -10. What is the highest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 30 = 13*a. What is the common denominator of -1*(-238)\/203*a\/(-4) and 109\/22?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1433*l**2 + 4726*l**2 - 1618*l**2 + 6053*l**2.\nAnswer: 10594*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8570230816.\nAnswer: 2, 7, 331, 115589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (99\/(-6))\/(-11) + 9\/(-4)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 3:58 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270690013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = j + v, j + 2*v = 14. Suppose -3 = -5*d + 2*d. What is the smallest common multiple of j and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s - s)*(-47 + 7*s + 47)*(-3*s**2 - 19*s + 8 - 7 + 27*s).\nAnswer: -21*s**4 + 56*s**3 + 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 6348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2))\/l**(-4\/5))\/(((l\/((l**(3\/4)*l)\/l))\/l)\/l**(4\/7)) assuming l is positive.\nAnswer: l**(157\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.002 + -485.002. Let a = 482.55 + f. Round a to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 2\/5 (c) -0.9 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/18)\/23*-3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -1\/16, -2\/3, 0.5, -1\/6, -8 in decreasing order.\nAnswer: 46, 0.5, -1\/16, -1\/6, -2\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/((-61875)\/(-18)))\/(8\/40).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -l - 72 + 68, 0 = -7*l - 28 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - -3510?\nAnswer: 3440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Suppose 1859 = p*c - 502. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47675586 + 47658926 = -140*t for t.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/11)*t*t**14*t*t)**23*(t**(2\/9)*t**(-7))\/((t*t*t\/(t**(-1)\/t))\/t**5) assuming t is positive.\nAnswer: t**(38659\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284180 = 9*t - 199308 + 52595. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4440120 and 76610?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 11. Suppose -3 + 15 = 5*c - q, 5*c = -2*q + z. Let r be 3\/(-6)*(-12)\/c. Solve 0 = -3*g - 0 + r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2770570 + 2?\nAnswer: -2770566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/((-72)\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -245. Suppose 1739*i = 1730*i + 1224. What is the highest common factor of i and t?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 315e3 - -2c?\nAnswer: 31620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 5325012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-51)\/(-1)*(-2 + 3 + 0). Let p = w - 54. Let b be 8 + p + (9\/3 - 6). Solve 0 = -5*y - 4*m + 30, -5*m + 11 = -b*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + (3 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7622, -7625, -7630, -7637?\nAnswer: -7646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.3, -1\/3, 1, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33328500379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2917.\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -3*l - 6*c + 5*c, 123 = -3*l + c. Let k be (-72)\/l + 3\/15. Solve k*s - 1 = -5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284809945 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 - 3*a**2 + 7*a**2 - 5 + 6*a. Give g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -447\/36601 or 0?\nAnswer: -447\/36601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + 3. Suppose 0 = -4*k + b + 77. What is the remainder when k is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5561*c**2 + 115*c**3 - 128*c**3 - 5537*c**2.\nAnswer: -13*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7214 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2. Let u(y) = -154*y**2 + 28*y + 7. Let s(k) = 51*k**2 - 8*k - 2. Let j(o) = -7*s(o) - 2*u(o). What is z(j(c))?\nAnswer: -7203*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Suppose 0*z = -k*z - 2*v + 12, 3*z - 26 = 5*v. Suppose 0 = 2*s - 0*s - 3*u - 46, -3*u = 4*s - 110. What is the remainder when s is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105898, 211762, 317626?\nAnswer: 423490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 1.1, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -920.320103 to 0 dps.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 3, l: 3, e: 2, q: 1}. What is prob of picking 1 i, 2 l, and 1 q?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3190 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38584.5 and -3?\nAnswer: 38581.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 8*f + 7. Suppose 0 = 5*z - 0*z + 3*a - 29, a = -4*z + 19. Let c be j(z). Let w be -5*(-2 + (-8)\/(-5)). Solve 3 = w*y - c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -50, -51, -52?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42, -182, -416, -744, -1166, -1682, -2292?\n\"Answer: -47*o**2 + o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.37 - -0.03. Let f = 1436 - 81850\/57. What is the biggest value in j, -0.4, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - m - 3. Let u be b(3). Let q = 27 + u. Suppose -32 - q = -z. Round z to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666167 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**3 + 253*t**2 - 7*t**3 - 71*t**2 - 135*t**2.\nAnswer: 3*t**3 + 47*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6486957, -12973917, -19460877, -25947837, -32434797, -38921757?\nAnswer: -45408717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * 0.438.\nAnswer: -7.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1142, 222, 0.7 in descending order.\nAnswer: 1142, 222, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 16*a + 13*a + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/5 (c) -306 (d) 6 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 136905275.64 and 3117?\nAnswer: 136902158.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*l = -143*l + 1609 + 393 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyu when three letters picked without replacement from {y: 3, u: 15}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 - 938\/9. Let w = 10 + -9.8. What is the nearest to w in 5, r, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00068817 rounded to seven dps?\nAnswer: 0.0006882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -111506 + -0.4.\nAnswer: -111506.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 0.5 (c) 0.3 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 2\/13, 8, -0.0093728?\nAnswer: -0.0093728","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 1, x: 13}. Give prob of picking 2 x.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262197 is divided by 15408?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1884 - 6105 = -67*r. What is the remainder when 92 is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(1\/10)\/d))\/(d**(1\/8)*d) assuming d is positive.\nAnswer: d**(71\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/2130 and -44\/681075.\nAnswer: 96712650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 248?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + 5.05. Let r = 0.084 - -5.216. Let y = r - z. What is the nearest to -2\/5 in y, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-3 + -2 - (sqrt(36)*1)\/sqrt(12).\nAnswer: -4*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44296698 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13 and -285.057.\nAnswer: -272.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -7*i + 3*i. What is the second derivative of 61*n**5 - i*n + 55*n**5 - 135*n**5 wrt n?\nAnswer: -380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 6*n**2 + 19*n - 7. Let j be m(-10). Let d be (-6 - j\/(-35)) + 3\/15. Which is bigger: d or -4\/85?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 4) to base 2\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {d: 2, l: 4, j: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - l**4 + 192*l + 2*l**3 - 193*l - 8*l**2 + 0*l**4 as d + i*l**2 + t*l + w*l**3 + c*l**4 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvs when three letters picked without replacement from {v: 2, b: 2, l: 1, t: 2, s: 1, f: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 4, -99, 5 in ascending order.\nAnswer: -99, -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -49. Suppose -182 = -3*j + 2*x - l*x, 5*x - 118 = -2*j. What is the derivative of 0*a - j + 84 - 15*a**3 + 0*a wrt a?\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556468 is divided by 9758?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.32 less than -29166.8?\nAnswer: -29169.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r - 10 + 46 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 319, -1502, -4, 1\/5, -4\/5 in increasing order.\nAnswer: -1502, -4, -4\/5, 1\/5, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -25*i**3 + 3*i**2 + 3*i. Let g(q) = -25*q**3 + 4*q**2 + 2*q. Let z(d) = -2*a(d) + 3*g(d). What is the third derivative of z(s) wrt s?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/9)\/(-5)*6\/54.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 10) to base 4.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 12*k - 15. Let w be 9\/(-3) - (0 + -8). Suppose w*t + 3*n = 9*t - 45, 4*n - 76 = -6*t. Give b(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -93 (b) 9 (c) 0.0022 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 320 and 160.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90048?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-63))\/((-252)\/1470)*25\/125.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 36.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 16*m + 8. Let w(v) = 33*v + 16. What is 3*w(i) - 7*z(i)?\nAnswer: -13*i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -45\/8*w**4 - 35*w + 0 - 1\/96*w**6 - 45*w**3 + 7*w**2 - 3\/8*w**5. Let o(k) be the first derivative of n(k). Factor o(p).\nAnswer: -5*(p + 6)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 28659.13 kilograms?\nAnswer: 28659130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -339188058 divided by -113062686.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70776 = 48*k + 2160*k - 242*k for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-12))\/(3\/(-11046)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -41*g + 40*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 283, -655 in descending order.\nAnswer: 283, 0, -655","meta":{"dup_signals":{},"source":"comparison__sort_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: List the prime factors of 45295538.\nAnswer: 2, 22647769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -764390 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26553357 (base 8) to base 12.\nAnswer: -1bb1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 3\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.164169 rounded to 3 dps?\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r**2 - 5*r. Let u(y) = 8*y**2 + 6*y. Let z(n) = -5*u(n) - 6*w(n). Let b be ((-4)\/(-9))\/(132\/594). Let q(x) = -b*x - 14627 + 14627. Give q(z(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92211?\nAnswer: 3, 7, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(-2*n + 0*n + n) - 30*n - 151*n - 74*n.\nAnswer: -256*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4053 - 4049. Solve 2*w - 2*q - 14 = 0, -4*w + u = -10*q + 12*q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g + 5 + 3*g - 1 - 3*g. Let r be c(-3). Suppose -n = 4*b - 33, -r - 26 = -5*b + n. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3203 (base 8) in base 12?\nAnswer: -b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -227, 2, -2, 4 in decreasing order.\nAnswer: 4, 2, -2, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4736 by -4.\nAnswer: -1184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 5*y**3\/6 + 6*y**2 + 7*y. Let i be a(-12). What is the units digit of (10\/4)\/((-4)\/i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 235, 331, 427, 523, 619?\n\"Answer: 96*k + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4440 divided by 12.\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3772703*g**2 - 13498287*g?\nAnswer: -7545406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 4915*s**2 + 9735*s + 73575.\nAnswer: 5*(s - 981)*(s - 5)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 142300?\nAnswer: 142242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 10*g + 0*g - 10*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 14 + 26. Let p = 13 + 15. Suppose 12 = 2*k + 3*h, 8*h = k + 4*h - p. Calculate the smallest common multiple of k and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u + 2. Let f(c) = 61*c + 13. Let p(y) = -6*f(y) + 39*o(y). Let j be p(10). What is j rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 368429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/360 and 71\/432.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3221304443 (base 5) to base 11\nAnswer: 393a931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31013412.\nAnswer: 2, 3, 29, 89119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*u**2 + 3*u**2 + 9*u**2 + 0 + 2*u**4 - 27*u**2 - 2*u - 1 as v*u**2 + x + l*u + p*u**4 + b*u**3 and give v.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.99 - -2.82. Let x = 0.57 + -1. Let j = x + l. Which is the third smallest value? (a) j (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in -0.5, 0.2, -3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -2.8 (c) -17170 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 5*h**2 + 2*h - 5. Let y be j(5). Solve -3*m = -y*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-4))\/((-5)\/(-20))*(-412)\/(-412).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443787.8ng in micrograms?\nAnswer: 443.7878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 3653?\nAnswer: -3654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 14637.405?\nAnswer: 14634.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**2 + 0*g**5 - 1\/2*g**3 + 0 - 1\/40*g**6 + 0*g + 0*g**4. Differentiate n(d) with respect to d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 6*t + 15. Let g be c(-7). Let d(q) = 2*q - q + 8*q - g*q. Let k(n) = -18*n**2. Give k(d(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*x - 1523 = 1935 - 0. Solve x*w = 17*w - 14 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**3 - 15*y**2 + 2*y + 4*y**4 + 12 - y**2 + 6*y.\nAnswer: 4*(y - 3)*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654301835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = d - 1. Suppose 3*z = -k - 5 + d, -4 = 2*k - 5*z. Suppose 0*c - c = -k. Calculate the smallest common multiple of 3 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p = -20*p - 4*r + 14, 3*p + 6 = 3*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-4\/7))\/j)\/j**(2\/15))\/(j**2*j*j)**(-29) assuming j is positive.\nAnswer: j**(12226\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6827705.\nAnswer: 5, 521, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144612?\nAnswer: 2, 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*f**5 - 3*f**3 + 228*f**2 wrt f?\nAnswer: 1620*f**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = -2*r - 304, -3*r = -15. Let l = t + -289. Let g be l\/20 + 2 + 5. Which is the smallest value? (a) 0.3 (b) g (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -503\/21 - -177\/7. Suppose 0*m + 4\/3*m**5 - 4*m**2 - 20\/3*m**3 - k*m**4 + 0 = 0. What is m?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 150.4 (b) 8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12156903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6578541*d*f*o**2 + 144*d*f*o + 14*d*f - 2*d*o + f*o - 241*o wrt o.\nAnswer: -13157082*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13998*h*m**3 - h + 81*m - 4 wrt m.\nAnswer: -83988*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3467, -13903, -31303, -55673, -87019?\nAnswer: -125347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 453*a + 1353. What is d(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-156)\/(-16))\/((-9)\/(-24)) and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-9) - 25\/(-225). Suppose t = -q + 2*r - 11, -4*r + 7*r = -3*q + 3. Let j(w) = w**2 - w - 1. What is j(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 12*d. Let t be w(6). Does 26 divide t\/96 - 1434\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -14*g + 22. Calculate the remainder when -2*g\/(-14) - 45769\/(-259) is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 + -76. Calculate the highest common factor of d and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*(f*f\/(f*f*(f*f**8)\/f*f))\/f*f)*f))**(-4\/5)*f**1*f**(-2\/27) assuming f is positive.\nAnswer: f**(1097\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 2*q - 135*q**2 - 9*q**2.\nAnswer: -144*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -20, -1, -0.3 in descending order.\nAnswer: 2, -0.3, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 + 103. What is the highest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - 12283?\nAnswer: -1228e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 235961 times 110?\nAnswer: 25955710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 417.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, 28, 44, 80, 142, 236?\n\"Answer: h**3 + h**2 - 8*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b = 13*b + 64. Let q be (2\/(-20))\/(b\/(-20 - -4)). Factor 4\/5*i**3 + 0 - q*i**5 + 0*i**4 + 0*i**2 - 2\/5*i.\nAnswer: -2*i*(i - 1)**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**5 - 109300*h**4 - 328035*h**3 + 1967690*h**2 - 437140*h - 2623560 = 0.\nAnswer: -6, -1, 2, 21863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -443.8 + 448.8. Let s = -1.7 + -0.3. Let i = -5 - s. Put i, g, 1\/4 in decreasing order.\nAnswer: g, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7693908.\nAnswer: 2, 3, 73, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((-7 - -4) + 1 - -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*-15*4\/(-18). Suppose 4*a - 5*c - g - 3 = 0, 20 = -4*c. Suppose x + 5*h + 6 - 2 = 0, -3*h = x - a. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 2*h - 12196 + 12196.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*c - 152*c - 2*q = -18, 4*q - 18 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - 0.5. Which is the closest to -0.1? (a) 5 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 25*g**3 + g. Let i be s(1). Calculate the highest common factor of 130 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 2177?\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, 152, 0.3, -83, 20, -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13983 and 18644.\nAnswer: 55932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315724 is divided by 7893.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2184445, -4368865, -6553285?\n\"Answer: -2184420*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*d + 5*d - 321, 3*f + 3 = 0. Let c(t) = 672*t - 7355. Calculate the remainder when d is divided by c(11).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/((-7)\/(-6)) - -2. Suppose -u = -4*o - 3*j, 5*o + 0*o - 10 = 5*j. Suppose n + 2 - 3 = 2*s, o*n - 8 = -2*s. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 10. Suppose 7 + 5 = r*b. Solve 7*z + 6 = b*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-42) - 1782\/28. Let y = r - -63. Are -1\/2 and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*d = -d + 672, -5*l + 679 = -4*d. Is 45 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.48229 milligrams to nanograms.\nAnswer: 5482290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 48. Let i = j - 83\/2. What is the third biggest value in -2\/15, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 13, b: 2, w: 2, v: 2, h: 1}. Give prob of picking 1 w and 2 d.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 74, 403, 1290, 3011, 5842, 10059, 15938, 23755?\n\"Answer: 46*u**3 + 3*u**2 - 2*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -143, -92, 19, 196, 445, 772, 1183, 1684?\n\"Answer: d**3 + 24*d**2 - 28*d - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000967792 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 3:52 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11329347 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 4a2?\nAnswer: 4a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -434)*(-71 + 68 + 33\/12).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49140*n**3 + 3 - 26353*n**3 - 3.\nAnswer: -75493*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 4*b - 18 = 9*n, 10 = n - 3*b for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2160 = -4*g. Let r be 5\/((-5)\/g) + -2. Suppose 0 = 3*k + 3*w + r - 1201, 5*k + w - 1297 = 0. Round k to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/11559 and -18\/17?\nAnswer: 196503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 23*f**2 - 112*f + 4. Let h be s(-16). Suppose -13*g + 14*g - 8275 = -3*u, -2*u - 33072 = -h*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-149*h + 70*h**2 + 126*h**2 + 149*h)*(h - 5*h + 3*h) in the form y + q*h**3 + v*h + s*h**2 and give q.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -4, -3, 3 in increasing order.\nAnswer: -80, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/14 + 3 + (-47)\/(-7). Suppose 4*k = 13 + x. Suppose n - q + 2 = 0, n + 3*q - k*q - 1 = 0. Are -3 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 - 1135266*x - 1611036113445.\nAnswer: -(x + 2838165)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 566.0897 millennia in months?\nAnswer: 6793076.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g. Suppose 2*n + 2*n = -44. Let c = n - -8. Let s(x) = -x. Let p(j) = 3*j. Let y(o) = c*p(o) - 6*s(o). Give d(y(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 40. Suppose -3*l + 42 = k*l. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-6))\/(3\/(-9)). Suppose -p = -5*h + 4*h. Suppose -o - 2*o = 15, -2*o = -h*c + 10. Are -2\/3 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0417, 4\/7, -5, 2\/9, -0.1 in decreasing order.\nAnswer: 4\/7, 2\/9, -0.0417, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2248 - 2294. Let f(d) = -d**3 + 8*d**2 + d - 3. Let n be f(8). Sort u, 1, n, -5 in decreasing order.\nAnswer: n, 1, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 + -6 - 2)\/(0 - -2). What is the tens digit of ((-45)\/6)\/(k + 55\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, c: 3, l: 4}. Give prob of picking 3 l and 1 c.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 4*o**3\/3 - 6001*o. Let l(k) = 10*k**2 + 5. Let w(y) = -5*y**2 - 3. Let h(v) = 3*l(v) + 5*w(v). What is n(h(z))?\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136\/5 + 27. Let v(b) = b + 2. Let c be v(0). Suppose 0 = 2*y - c - 0. Are y and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 8:26 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.138 - 6.838. Let y = -7 - x. Let j = 0.1 + y. Which is the closest to 2\/7? (a) j (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1275417 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 338717726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/2 - 50957*u\/2 - 15131978 = 0. Calculate u.\nAnswer: -50356, -601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*n**3 - 27 - 55*n**3 + 123 - 60*n**3.\nAnswer: -2*n**3 + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0\/((((p**3*p*p)\/p)\/p)\/p))\/(p**(1\/3))**(3\/7))**(-2\/11) assuming p is positive.\nAnswer: p**(30\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k - 2*k - 12 - 2*k - 16. What is the units digit of y(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2639735*g*n - n + 21514403 wrt g?\nAnswer: 2639735*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/141372 and 17\/3157?\nAnswer: 5796252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8706.792 + 24.208. Is 0.1 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701237741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 46. Let u be g(-14). Let t be (-1 - (0 - -1))*-13. Let v be 33\/(-55) + t\/u. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20825 - 20830. Let n(o) = o - 4 + 0*o - 3 + 6. Let y(t) = -5*t**3 - t + 4. Let l(w) = -4*n(w) - y(w). Let m(b) = -9*b**3 + 5*b. Give f*l(h) - 3*m(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -1033751410?\nAnswer: -1033751406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72 + -531410?\nAnswer: -531338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*h - 3 = 0, -7 - 6 = 5*l + 2*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7. Let l = 7 + d. Let i be -2 - (1 - 14\/3). Sort i, l, 2\/7 in descending order.\nAnswer: l, i, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33.2 - -38. What is j rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 3*q - 4*q)*(0*q**2 - 6*q**2 + 3*q**2) + 2*q**3 - 3 + 3 + 3*q**3 + 9 - 9 + (q - 2*q - q)*(q**2 + 2*q**2 - q**2).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -9 - -42)\/2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -12*f + 56. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (73\/(-1460))\/((-2)\/16)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyplewllluyylywy. What is prob of picking 1 p, 1 w, and 1 u?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*g - g = 0, 5*y - g - 16 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 532365 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, b: 16}. Give prob of picking 3 u.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007959 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)*i**16\/i*i*i**11\/(i\/(i**(-7\/3)\/i)) assuming i is positive.\nAnswer: i**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 3*sqrt(15)\/sqrt(3) + sqrt(25)\/(sqrt(20)\/sqrt(4)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/4 and -131\/1776.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 126*b + 67. Let t(s) = 356*s + 200. Determine 6*t(g) - 17*w(g).\nAnswer: -6*g + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 173135 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 + 1 - 1)*(2382 - 4761 + 142*l + 2378) in the form q + h*l**3 + j*l**2 + i*l and give h.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1614 = -3*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, 0.05, 1902\/239?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 203324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 54*m**2 - 486*m + 1458.\nAnswer: -2*(m - 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*k + 4*k = 156, 0 = -4*k + 16. Let w = -25 - g. Solve w*j = 14 - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3197004.\nAnswer: 2, 3, 266417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -5, 31, -1, -2, 2 in decreasing order.\nAnswer: 31, 2, -1, -2, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10*w + 72 = -18*w. Put 5, w, 2, 18 in ascending order.\nAnswer: w, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + -2*sqrt(1088)))**2 + 5.\nAnswer: -640*sqrt(17) + 17513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1880 and 69881480.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, and 1 d when three letters picked without replacement from {v: 4, d: 1, q: 4, n: 2}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 472128 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1316647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1 + -1 + 283. Let g be i\/15*6\/4. What is the highest common factor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3870203333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**6\/360 + w**5\/20 + w**4\/8 - w**3\/2 + 3*w. Let t(r) be the second derivative of s(r). Give t(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 4, 5, -36?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 10:19 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + l = 11, z + 4*l + l - 17 = 0. Suppose 0 = 5*n + p - 27, z*n - 6*n = p - 21. Solve n = -2*w + 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1517 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbasjll. Give prob of sequence sbf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*2*2\/2. Let t be 3\/9 - (-14)\/u. Let b = t + 27. Solve b = 7*i - 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 4*c + 4. Suppose -3*i = 5*t - 7, -4*t = -7*t - 3*i + 3. Let j(d) = -8*d**2 + 15*d - 16. Let h(l) = t*j(l) + 9*s(l). Factor h(p).\nAnswer: 2*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u + 10. Let z be r(-5). What is the remainder when (-2 - 5\/10)*104\/z is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38 and -2031.\nAnswer: -2069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - ((-6 - -6) + -16) - (-8 + 22)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1063 + -2 + 3 + 4. What is the greatest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(119) + sqrt(119) + sqrt(119))*-6)\/(sqrt(700) - (sqrt(700) - 3*(sqrt(700) + sqrt(700)*-2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 7:04 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 496 - 441. What is the remainder when 89 is divided by b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Let w = l + 2. Suppose -d + 3*d - 32 = -2*o, 4*d + 8 = 5*o. Sort -1, o, w.\nAnswer: -1, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = h - 4*h. Let r = h + 43. Let t be (-1)\/4*(1 + -7). What is the closest to 0.1 in r, 5, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*k - 16*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -24. Let z = 14 + u. Suppose -6*y - 2 + 14 = z. Solve -m = 5 - y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18892796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 2)*(2708*o**3 - 137*o**4 - 212*o**4 + 347*o**4) in the form g*o**4 + d*o**3 + r + u*o**2 + i*o and give d.\nAnswer: -2708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 10 - 0 + 10. Let t(u) be the second derivative of 0*u**2 + d*u**3 + 0 - 15*u + 3\/2*u**4. Let o(s) = s. Determine t(o(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2742 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i**2 - 9 - 5*i + 2*i**3 + i**2 - i**3 + 0*i**3. Let h be u(7). Solve 0 = h*v + 20, 2 = 3*l + v - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1391772.54 + -1353121. Let n = 38608.53986 - c. Let i = n - -43. Round i to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 348*z + 353*z = 160, 0 = 5*u - 3*z + 96 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 171126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.83835cm in millimeters?\nAnswer: 458.3835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -201, -4 in descending order.\nAnswer: 0.1, -4, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/6)\/(50\/5580*(-63)\/(-15))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 2*j = 11*i + 4, 2*i - 4*j = 8. Which is greater: -1\/141 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124.46 + -126. Let z = n - -0.04. Let m = 0.5 + z. Is -2 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 - 9.84. Let u = -11 + 15.6. Let o = y - u. What is o rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(sqrt(21)\/(sqrt(3)*1) - (sqrt(112) + 1)) + 1*(2*sqrt(70)*-4)\/sqrt(10)).\nAnswer: 12 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -854, -1706, -2558, -3410, -4262?\n\"Answer: -852*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2 + -1)*26. Let u = -1 + m. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*o + 3*o**2 - 491*o + 2*o**2.\nAnswer: 5*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.19 and 2.4.\nAnswer: -0.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-21))\/((-30)\/35)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -20. Let f be 1\/3 + (-112)\/w. What are the prime factors of (-2)\/f - (-1446)\/54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2244 - 2276 = -0*r - 2*r - 16*u, -u = -2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -32263400 to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y + 128. Let i(r) = -3*r + 80. Let l(b) = 8*i(b) - 5*p(b). Let h(f) = 71*f**2 - 2. Calculate h(l(s)).\nAnswer: 71*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1180222?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -18634000 to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249 and 763683?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 33*w**2. Let x(r) = -3*r + 2*r + r - r. Give x(h(c)).\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2996 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: Let t(n) = -n**2 - n - 2. Let g be t(-6). Let d(p) = -23*p - 59. Let k be d(-5). Let b = g + k. 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 units digit of 553547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-105)*3*2 + 132\/5.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/4)*u\/(u*(u**(29\/5)*u)\/u))\/((u**(-10\/7)\/u)\/u**(1\/4)) assuming u is positive.\nAnswer: u**(-341\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.34939 < 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(192) - (3*sqrt(36))\/sqrt(12) - (0 + sqrt(192) + -2))**2.\nAnswer: -12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4*-154238.45\nAnswer: -616953.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 12*v**3 + 370*v**2 + 644*v + 194. What is l(-29)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 + 3?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -157887.03 rounded to the nearest 1000?\nAnswer: -158000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b - 5*b + 16*b**2 + (2 - 2 + 6*b**2)*(4 - 2 + 0).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/630 and 107\/66384.\nAnswer: 2323440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -1 - -7)\/1. Let b(k) = -k**2 + 5*k. Determine b(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 28. Calculate q(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1084*v + 2571. What is the tens digit of y(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 33*r**2. Let t(u) = -6*u + 15*u + 14 + 9*u**2 + 4 - 4*u**2. Let n(v) = v**2 + 2*v + 4. Let w(d) = 9*n(d) - 2*t(d). What is w(c(a))?\nAnswer: -1089*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-13 - (-3 + 6))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56475 less than or equal to 56475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2939, -23255, -78321, -185513, -362207?\nAnswer: -625779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 334802 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135564 = 50*f - 24286. What is the remainder when f is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x. Calculate the remainder when 53 is divided by d(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11749264, -11749267, -11749272, -11749279, -11749288, -11749299?\nAnswer: -11749312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urcprp. Give prob of sequence cr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/4 + (-8)\/32. Solve 3*o**3 - 3*o + 4 - c - 4*o**2 + 0 + o**2 = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + 3\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216043 is divided by 19639.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-1)\/((-233910)\/23390 + 10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 43*z - 88.\nAnswer: -(z + 8)*(4*z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13*o**4 + 13*o**3 + 3. Let i(h) = 27*h**4 + 25*h**3 + 5. Let g(f) = 6*i(f) - 10*u(f). Determine v, given that g(v) = 0.\nAnswer: -5\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8430*u. Let y(z) = 164*z. Give l(y(d)).\nAnswer: 1382520*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) -51\/7 (c) -2 (d) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.32 - 0.92. Let i = -0.2 + 0.1. Which is the nearest to 2\/5? (a) 1 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2926 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/84 and (-6)\/((-6048)\/5970) - (0 - -6)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxuxubxabbab. Give prob of sequence bbu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 0.2, -0.5, 153145?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*a**2 + 58964*a - 58964*a + 29*a**2 - 63*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29855 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 468 - 451. Solve a - x + 12 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*x - 5*v + 107, -2*x - 33 = v. Find the common denominator of 39\/7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 6*i**3 - 5*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0*x. Suppose x = 3*a - 6*a + 48. Calculate the remainder when 63 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/2130 and -62\/1065.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014663 to four dps.\nAnswer: 0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -60, 0.1?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3 - 164772*r**2 - 494334*r = 0?\nAnswer: -3, 0, 82389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*j + p - 1136, 0 = 2*j - 5*p - 488. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9594, -9641, -9720, -9831, -9974?\nAnswer: -10149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 10*f**2 - 6*f - 7. Let d be q(-10). Let y = d + -53. Solve 2*v - 3*h + 19 = y, 0 = -2*v + v + 4*h - 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*q + q - 140, 0 = 2*q. Suppose -71*m + 9*m = 3*m - 2470. Calculate the remainder when m is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90637757 take away 0.0669933?\nAnswer: -90637757.0669933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11850460 is divided by 493757?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 13*h**2 + 16*h + 113. Let s be q(-13). Which is smaller: s or -94?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 7:14 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*x - 10 = 10, -5*x = -3*o - 7. Suppose 4*i + 8 = 0, -3*f = -4*f + 4*i + 10. What is the remainder when o is divided by 3\/(f + -4 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 5 + 8)*(-n + n - 9*n)*(0 + 4 + 0) to the form h*n + s and give h.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 s, and 1 o when four letters picked without replacement from bccoscsoccco?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56199087 to the power of 1\/3, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 232*q**2 - 2*q - 692*q**2.\nAnswer: -924*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 6 = 5*x, -5*r = 2*x + 3*x + 10. Suppose w - 13 = -4*v, -w + 0*w = -1. Suppose s = -0*s - v. Sort r, -1, s in descending order.\nAnswer: -1, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 66 - 18 = 0. Suppose b = 6 + y. Calculate the remainder when b is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**5 - 1505*n**4 + 106170*n**3 + 1082630*n**2 - 106175*n - 1081125 = 0.\nAnswer: -9, -1, 1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(-3)\/(-108)*(-64)\/(-224)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or 410\/3?\nAnswer: 410\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46553783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212013031 (base 5) in base 6?\nAnswer: 140550114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78202011?\nAnswer: 3, 977, 26681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 714.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216041*m + 216019*m - 506 = 0 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -0.43. Let l = -0.04 - w. Let r = 0.83 - l. Round r to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3*n**2 + 15*m**3*n + 139231*m**3 + 3*m**2*n + 302503936*m*n**5 wrt n?\nAnswer: -2*m**3 + 6050078720*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 291079*s - 291101*s - 18 - 11 - 16.\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -12*d**3 + 6*d**2 + 12*d - 10. Let y(x) = -11*x**3 + 6*x**2 + 11*x - 12. Let n(u) = 6*v(u) - 4*y(u). Determine p so that n(p) = 0.\nAnswer: -1, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w - 140*w + 8*w.\nAnswer: -159*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 3) + (1 + -2 - (379 - 378)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 27. What is the nearest to -0.1 in 1, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u + 48. Let z = 26 - u. What is the units digit of (-7)\/(((-8)\/z)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 + 0*u**2 + 0*u**2)*(2*u - 1 + 1) - 2 + 0 - 282696828*u + u**3 + 282685225*u as q + o*u + z*u**2 + c*u**3 and give o.\nAnswer: -11603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15703 is divided by 56?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 412*w**3 - 4*w**2 - 8*w + 802. Let z(b) = -413*b**3 + 5*b**2 + 10*b - 803. Let a(j) = 5*s(j) + 4*z(j). Find the first derivative of a(f) wrt f.\nAnswer: 1224*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/28847, -0.4, -4 in ascending order.\nAnswer: -4, -0.4, -3\/28847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -2 - (8 - 10 - -5)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/8*(-48)\/(-20). Let v = 134 + -133. Let x be (2 - v)*-1*(0 - 2). Solve p + x*p + n = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 12018.\nAnswer: 84126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, h: 1, p: 1, x: 2, l: 2}. Give prob of picking 1 x, 1 p, and 1 l.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (74 + -106) - -56\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(6\/7 - (-48)\/(-56))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 - (-294)\/35)\/((-1)\/3) and 8\/12 + (-34)\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-1)\/(3\/417*1). Suppose 0 = -r*q + 140*q - 39. Suppose 0 = -0*w + w - q. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5731, 5721, 5699, 5659, 5595, 5501, 5371?\n\"Answer: -k**3 - 3*k + 5735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196567133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21314538 and 21314538.\nAnswer: 21314538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 48.551909?\nAnswer: 48.551909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 212101211 (base 3) to base 4\nAnswer: 10022203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -87 + 97 - (-11 + 2 - 2). Solve 5*t - 8*t + 4*d = 11, d + p = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 - 21\/(-9). Suppose -k*y - 2*y + 152 = 0. Let a = y + -22. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 2. Let u be l(0). Suppose -3*r = 5*v - 21, u*v - r = 2*r. Suppose v*t + 0*t = j + 7, 3*t - 17 = -4*j. Solve t*m - 4 = -10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1330 + -4?\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -78*i - 1241. Suppose k - 6 = -k. What is the smallest common multiple of z(-16) and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*j**6 - 717*j**5 + j**2 + j**4 + 717*j**5 + 17 wrt j.\nAnswer: -2760*j**3 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22504 and 7469?\nAnswer: 1732808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0072692093 take away 1.7411?\nAnswer: -1.7483692093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.22666 kilometers to micrometers.\nAnswer: 5226660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + p**2 - 2*p + 3. Let f be i(0). Let q(a) = -6 + 4 + 12 + a + 1 - f. What is q(-15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 64121 = l, -9*i - 12805 = -10*i + 5*l. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 13793 - 13892 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = -3*i, -8 = -5*h + 2*i + 21. Suppose 0 = h*l - 23 - 2. Let j = l - 2. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109.08, -774, -1\/6 in ascending order.\nAnswer: -774, -1\/6, 109.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -13*d**3 - d**2 - d - 4. Let x be q(-3). Suppose -995 = -4*j - 4*r + x, -j - 4*r + 334 = 0. Suppose -z = 3*v - 248 - 98, -z = -v - j. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5173 + 23906. What is o rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1335 or -1337?\nAnswer: -1337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 < -209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331)*2*1 + 6*(sqrt(1331) + -2*sqrt(1331)).\nAnswer: -44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 5:45 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = -5*i, -9 = -j + i - 10. Are 20 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -376, 3\/5, -2\/5, -2\/13.\nAnswer: -376, -2\/5, -2\/13, 0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 22*r**2 + 5*r - 5. Let n(l) = 18*l**2 + 4*l - 4. Let x(p) = -5*n(p) + 4*o(p). Determine x(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -17*m**3 + 265*m**2 - 14*m + 19. What is the remainder when b(15) is divided by 120?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/45*4\/10.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 5 (c) 188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 15064?\nAnswer: 15064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**4 - 159*g**3 - 1212*g**2 - 2844*g - 2160 = 0?\nAnswer: -3, -2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 63 (b) -4\/9 (c) 3\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcdtbtobcccdccbdc. Give prob of sequence bb.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26043 or 286477\/11?\nAnswer: 26043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*w - 101001, 4*w = 831*d - 830*d + 134708. Is 127 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 1)*(-1 + 2). Let d(g) = g**2 + 3*g + 7. Let s be d(r). Let w = 297 + -144. What is the highest common divisor of w and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((546\/(-350))\/13)\/(6\/4)*(-65)\/78.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -9*s + 13. Let m be j(-3). Let u = 45 - m. What is the third derivative of -22*w**5 + 7*w**2 - 4*w**2 + 16*w**2 - w**u wrt w?\nAnswer: -1380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -696722 or -696724?\nAnswer: -696724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (46 - 42) + -36.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 7*m + 9. What is the closest to -0.5 in m, 3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (1 + -9) - (-25 + 30 + -2 + 3).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 137 - 43 = 0. Let z = -76 - -106. What is the remainder when (-48)\/(-8)*(-145)\/j is divided by z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 59 - 14. Let c(w) be the third derivative of 213889*w**4\/6 - 2*w**3\/3 - w**2. Let h be c(a). What is h rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/6256 and 79\/1471632.\nAnswer: 25017744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/614037 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72768 is divided by 117.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 200 = -1539 - 4117. Calculate the highest common divisor of 528 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 8) to base 7\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 27 = 4*i, -414*i + 420*i = 3*j - 0*j + 27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 47. Suppose -n*d + 5137 = 6*d. List the prime factors of d.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 945958, 1892781, 2839604?\n\"Answer: 946823*b - 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 2*m + 1. Let p be v(-2). Which is the closest to -0.6? (a) -2\/9 (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82309498?\nAnswer: 2, 1901, 21649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6336859 and 206137?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**5 - 954*t**4 + t**3 + 843*t - 1 wrt t.\nAnswer: -40*t**3 - 11448*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 10*r - 1. Let o be s(-7). Let i be 4\/(-10) - 2\/o. Let u = -0.539 + 1.039. What is the nearest to i in u, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2796694, 5593184, 8389674, 11186164?\n\"Answer: 2796490*o + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 14. Let y be i(-8). Let n(c) = -c**3 + 6*c**2 + 6. Give n(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.61 + 6.41. Let i = -28 - -24. Put -0.03, o, i in decreasing order.\nAnswer: -0.03, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = z + 120, 0 = 2*z - 6*x + 2*x + 240. What is the remainder when 6\/(-5)*z\/16 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -1\/2*v**2 + 0*v**3 + 5\/12*v**4 + 0 + v. What is the first derivative of z(o) wrt o?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122040844039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:26 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-7)*t*t)*t*t**(-2\/11))\/(t**0\/t)**(2\/21))\/((t**(6\/11)\/t)\/t*t*t**(-3\/2))**(20\/3) assuming t is positive.\nAnswer: t**(4607\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 133*i - 136*i - 21, -101 = 11*i - 3*s for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y + 2. Let h be f(7). Let k = h + -14. What is the greatest common factor of 63 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30139631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) 2 (c) -15 (d) -144 (e) -4\/7 (f) -128 (g) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -50, -55, -48, -23?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:22 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -63161655, -63161656, -63161657, -63161658, -63161659?\n\"Answer: -x - 63161654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/15 - 892*x**3\/3 + 118560*x**2 - 14688000*x + 596736000.\nAnswer: -2*(x - 120)**3*(x + 2590)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41986316*h**2 - 41986316*h**2 - 82*h**3.\nAnswer: -82*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5)*((-16)\/(-16))\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/13334720 and 71\/464.\nAnswer: 386706880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600262 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n**3 + 3*n**2 - 11*n - 13. Calculate j(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13557509 to the nearest integer?\nAnswer: 3682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -218257 and 0.2135776405.\nAnswer: -218256.7864223595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - 3*z**4 - z**4 - 2*z**3)*(-32 + 31 + 37).\nAnswer: -144*z**4 - 36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 21) + -1*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 + 33*m - 21. Let f be j(10). Is 1\/(-4) - ((-311310)\/24)\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t + 4 + 2*t)*(1690 + 184*t - 842 - 843 + 173*t).\nAnswer: 1071*t**2 + 1443*t + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778*s**2 + 780*s**2 + 6*s - 226 + 226 - 6*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 - 5*k + 40. Determine b(4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 + 60\/59. Let q = i + -1\/59. Let w = 2 - 2. Sort q, w, 3 in ascending order.\nAnswer: w, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 4 = 5*x, 0 = i + 4*x - 2. Solve -i*s - 3*s = 2*f - 14, 0 = 5*s - 2*f - 26 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2 + 87388*f + 87386 = 0?\nAnswer: -43693, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 203\/42 - (-2)\/(-4). Suppose 8*x = -2*x - 1560. Let v be 16\/(-104) - -21*(-3)\/x. What is the nearest to v in 2\/3, -3\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbss when four letters picked without replacement from boobssbo?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 0, 10679085 in decreasing order.\nAnswer: 10679085, 22, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 0*a - 8*a + 10*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 804 = 2*b + 738, 0 = 10*k - 5*b - 105 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 1:11 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 2\/13 (c) -109\/20 (d) 0.46 (e) -3\/5 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15) + 202\/5. Let j(r) = r + 12. Let i be j(-12). Let g = 8 + i. Calculate the greatest common factor of g and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 91\/(-14))*10 + 0 + 13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 172868 and 171420 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -14. Let r be 4\/j - 210\/(-27). Let f = 24 + r. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(304\/(-228)*(-1)\/((-24)\/27))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1106 + 909. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 680 and 43690?\nAnswer: 174760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 421 = 2*a - 501, 4*a = 4*q - 1236. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-48) - 55\/(-120)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503532842?\nAnswer: 2, 373, 674977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/15 - (-57)\/45?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -215\/3 + 71. Sort l, -7, -2.\nAnswer: -7, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0\/(z\/(z*z**20*z))*((z\/(z\/((((z*(z**2\/z)\/z*z)\/z)\/z)\/z)*z*z))\/z)**2 assuming z is positive.\nAnswer: z**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 9 = 3*o, -5*q + 13*o - 11*o - 20 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1665 and 26019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e9d - 1?\nAnswer: e9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6199646 kilometers to millimeters.\nAnswer: 619964.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiitntttlin. What is prob of sequence tni?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r + 5*r + r**4 + (r**3 + r**3 - 3*r**3)*(147*r - 69*r + 48*r) as u*r**2 + o + d*r + p*r**3 + v*r**4 and give v.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 869*r**2 + 869*r**2 - 11*r**3 wrt r.\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3012935 (base 11) to base 15\nAnswer: -7052ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684030487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1430*y**2 + 738*y**2 + 766*y**2 in the form x*y**2 + j + q*y and give x.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -8. Suppose -m - 3*m + 16 = i. Let z be (3 - 2) + -1 - 0. Sort m, z, -1 in ascending order.\nAnswer: -1, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 492 - 519 - (-47 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -4 + 3249\/16*u**2 + 1\/96*u**4 - 19\/8*u**3 - 8*u. Find z, given that o(z) = 0.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55555534 - 21?\nAnswer: -55555555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1946 and 118150?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -324. Let a = 77 + n. Let k = -229.0000203 - a. Round k to 6 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -385?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 115*g - 869544. List the prime factors of g.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -9 + (-6 - -17)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkdkkvkvvvvdddd. What is prob of sequence kw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) + 248\/20. Let t be -4*(3 + (-63)\/r). Find the second derivative of -2*b**5 + 8*b - t*b + 5*b wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4a9 (base 11) to base 13\nAnswer: -375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -89857*r*s*t**3 + 4*r*s + 7*r*t**3 - 39*r - 12*t**3 + t**2 + 7*t wrt s?\nAnswer: -89857*r*t**3 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 45*y**2 - 22*y - 2. Suppose -15 = -l + 3*z, 0*l - 4*z = 2*l. What is the remainder when u(1) is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/175*2)\/(36\/42)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -47 - 77. Calculate the remainder when x is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k + k - 4*k)*(-1 + 1 + 11)*(-6 + 3 + 1) in the form m + d*k and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -0.5, 2, 0.3, 877?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 2*f**2 - 4*f**2 + f. Let g be p(0). Solve -2*s + g*q + 11 = -q, -6 = 3*s + 3*q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 5:19 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68385 and 2100?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -63*((-4)\/3)\/(-1). Let m be d\/(-15) - 4\/(-10). What is the derivative of 1 + 14*w**3 - m*w**3 + w**3 wrt w?\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-105 - (-1 + -1))*-7. Suppose 5*x - r = x + 3*t, 3*t + 543 = 3*x. List the prime factors of x.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 637847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24305294*p - 17289490?\nAnswer: 24305294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 185, 3, 4, 6, 2, 15, -2.\nAnswer: -2, 2, 3, 4, 6, 15, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 3*t - f, -5*t - 2*f = -6*f - 239. Suppose 2*m + 15 = t. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35931336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, 0, 1.77, -5, -0.0645?\nAnswer: -0.0645","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17268890?\nAnswer: 2, 5, 229, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxt when three letters picked without replacement from tavxttuvuutttxa?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/16*(-4)\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -1\/3, 14\/19, 75\/4, -0.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 - -71. Suppose h*l - 82 = 3*z, 4*z = 7*z - 6. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 848.248 + -848. Are r and 2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-679)\/(-2910)*(-4)\/(-7)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/9)\/(x\/(x\/x**6)))\/(x**(6\/5)*(x*((x*(x*x\/(x**(-3\/4)*x))\/x)\/x)\/x)\/x))**(5\/13) assuming x is positive.\nAnswer: x**(-1211\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3\/3 - 6898*j**2\/3 + 6904*j\/3 + 4600 = 0.\nAnswer: -3450, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1178 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58\/61 + 3465\/244. Let j be 1052\/(-17)*3912\/(-5696). Let p = 1\/1513 - j. What is the common denominator of p and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54567845 is divided by 18189277.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 11:12 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60142 - 60125. Let q = 2 + -1. Sort 0.2, q, h in decreasing order.\nAnswer: h, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, g: 6, z: 4}. Give prob of picking 2 z and 1 g.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*k, -2*d + 3*k + 0 - 3 = 0. Find the second derivative of -4*g**3 + 2*g + 4*g**3 - 9*g**3 + d*g wrt g.\nAnswer: -54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**3 + d**2 - 4*d + 1. Let x = 9 + -5. Is n(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f - 6*f - f)*(5 - 1 - 3)*(-573 - 140 + 96) as j*f + u and give j.\nAnswer: 1851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/92 + 471706\/(-10442)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -19 - -26 - (7 + 2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2 - x - 42*x**2 + 30*x**2 - 5*x + 11*x**2. Suppose -2*h = 3*h + 2*o - 71, 4*o - 25 = -h. Let p(d) = 2*d**2 + 13*d - 4. Give h*b(y) + 6*p(y).\nAnswer: -y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-1) - -14) + 15\/3 + 0. Solve -u*p + p = 34 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392027?\nAnswer: 3, 7, 13, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v + 3. Let z be g(-7). Suppose -3*f + z = -9*f. Let t be 1\/f*(-78 - -10). Solve p + 5*a = -0*a - 29, -3*p = a + t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30\/199 + -7943\/30248. What is the common denominator of r and -5\/24?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 24*r + 19*r - r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -81821.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 1:32 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -433245004 + 2?\nAnswer: -433245002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -5*m - 16135. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12830*w**2 - 19122*w + 2 wrt w.\nAnswer: 25660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.46 + 0.66. Which is the closest to 2? (a) 2\/5 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -312048 or -312058?\nAnswer: -312058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 10:36 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 3*r + 2. Let z be ((-9)\/(-6) - 2)*-10. Let s be a(z). Let u = s + -8. Solve -3*h + 7*g = u*g + 12, 0 = 5*g - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 - 1. Let o be t(1). Suppose -3*s + 3*n = -54, -2*n = -o + 6. Suppose 3*d - m - 25 = 0, 0*d = -3*d - m + s. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3246.92 - -3247. Which is the biggest value? (a) 16 (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1168291136 by -1.\nAnswer: 1168291136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 25*q + 27. Calculate n(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzo when three letters picked without replacement from zzozzzozzzzzzzzzzzzz?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53283 * 73.4.\nAnswer: -3910972.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 4*j**2 + 3*j - 5. Let k be w(4). Let n(g) = g**2 - 6*g + 9. Calculate the remainder when 29 is divided by n(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u + 63*u - 22*u + 28*u - 16*u - 16*u - 34*u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-3\/4)*c)*c)\/((c*c**(-1\/3))\/c))\/(c\/((c*c\/c**(-1)*c*c*c)\/c))**(-3\/5) assuming c is positive.\nAnswer: c**(-79\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - z. Let f be a(-1). Let s be -4 - f - 7*-16. Let k = s - 29. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195983068 to the nearest integer?\nAnswer: 13999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 4, o: 2, u: 3, i: 6}. Give prob of sequence uj.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/2 smaller than -635.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 635249585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*v + 13 = 5*v, -4*o - 3 = v. Find the common denominator of o\/(-10)*158\/4 and ((-294)\/(-45))\/((-4)\/(-5)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-12)\/l*l)**(3\/11)*l**21*l**(-5\/12) assuming l is positive.\nAnswer: l**(2285\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-72))\/((-2)\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/(-8) + -4)*1*-6. Is 13957 + (-5 - -8) + b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -3*p**5\/20 + 19*p**4\/24 - 31*p**3\/6 - 9*p**2. Let v(m) = 22*m**2 - 48*m + 78. Let r(y) = -12*j(y) - 5*v(y). Factor r(l).\nAnswer: -2*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*u**4\/7 + 64836*u**3\/7 - 12730395*u**2\/7 + 843421500*u\/7 - 7224931500\/7 = 0. Calculate u.\nAnswer: 10, 122, 1405\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3212, 6428, 9648, 12872?\nAnswer: 16100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**5\/60 + p**3 + 2*p. Let v(k) be the second derivative of w(k). Let z(j) = 2*j**2. What is z(v(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12303024344 + -3?\nAnswer: -12303024402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12898468*o**3 - 1337*o**2 + 1319 wrt o?\nAnswer: 77390808","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 885*120\/200*-1*1. Let k be ((-4)\/3)\/(1416\/r). Determine v, given that -v - k*v**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132.96 times 0.2\nAnswer: 26.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*y = -19, -3*u + 5*y = -0*y + 9. Let n be 15\/50 + 370\/100. Put u, n, -3, 1 in descending order.\nAnswer: n, u, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvd when three letters picked without replacement from {d: 2, v: 2, y: 9, c: 5, z: 2}?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*u - 90, -5*u = -0*u - 4*p - 90. Let h = u - 20. Which is the biggest value? (a) h (b) 4 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/81*3\/((-3)\/(-1)). Let h(v) be the second derivative of 0 - 2*v - i*v**2 + 1\/18*v**4 + 0*v**3. Factor h(a).\nAnswer: 2*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101102 (base 3) to base 11.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.644 and 0.5?\nAnswer: 0.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001235862 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 316963\/42 - 15089\/2. Calculate the common denominator of z and -103\/900.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 40*v**2 + 56*v - 88. List the prime factors of f(41).\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1035593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16677 - a?\nAnswer: 1666b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1241 + -362. List the prime factors of a.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 196\/(-8) - 4\/8. Let i = l - -51. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5760 and 60.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 35, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 - 2.99. Let n = s - 0. Let t = -4 - n. What is the nearest to t in -2\/11, 0.2, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**7\/2520 - z**4\/8 - 3*z**2. Let h(m) be the second derivative of s(m). Let f(x) = 2*x. Give h(f(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3 - 34982258*j**2 + 305939593694641*j = 0. What is j?\nAnswer: 0, 17491129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 48. Let c(h) = 11976*h**p - h + 1305*h**3 + 5*h. Let l be c(-4). What is l rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14540, 14549, 14566, 14591, 14624, 14665?\nAnswer: 14714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 12811 = -2*n - 12804, -n + o = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3526.44176 rounded to the nearest ten?\nAnswer: -3530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 909 - 908.018. Let o = a - 1. What is o rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5.2, -0.2, -11\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, -2, 4, -765 in descending order.\nAnswer: 7, 4, 0, -2, -765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 - -619. Suppose 3*p - 6 = 5*h, 4*h + 4 = 3*p - p. Is y\/9 + p\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 g, and 1 w when three letters picked without replacement from {w: 1, h: 1, o: 1, g: 4, v: 5, u: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 778244, -2\/9 in ascending order.\nAnswer: -2\/9, 3\/8, 778244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*2*3 - 1*sqrt(152)*2)\/(5*sqrt(8)*-1 + -3*(1*sqrt(8) - sqrt(8))).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -3c59158?\nAnswer: -3c59157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1 - 3*a - 3 - a + 3*a. Let i = -10 + 3. Let w = -3 - i. Calculate l(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.26353 tonnes in grams?\nAnswer: 47263530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n - 2. Let o be b(-1). Let f(z) = -z**2 + 5*z + 6. Let p be f(o). Let i(w) = -w - 1. Determine i(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*s - 1784, -2*s - 7*r = -5*r - 910. What is the greatest common divisor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {r: 2, y: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*a + 30, 5*k + 2*a - 3*a = -15. Let n be -1 + 6\/(k - -2). Let y be (-2)\/((-2)\/(-12)*n). Solve -y*z + 21 = 5*d, -d - 4*d = -z - 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-361*j - 348*j - 114*j)*(6*j - 8*j - 2*j**3 + 4*j).\nAnswer: 1646*j**4 - 1646*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.95 + -0.05. Let d = 7 - 9. Let z = -56313 + 56312.5. What is the nearest to d in z, f, 8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/16? (a) -0.2 (b) 8775 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*g - 77*g - 48*g)*(-5 + 5 + 7*g) + (-2*g + 0*g + 0*g)*(0*g - 2*g + g) - 1 + 2*g**2 + 1.\nAnswer: -570*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y + 60*y + 10*y - 12*y + (y - 2*y + 0*y)*(0 + 1 + 0) + y + 0*y + y.\nAnswer: 51*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -114 from -105766.\nAnswer: -105652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 811 + -6409\/8. Calculate the common denominator of i and (-4)\/10 + (-79)\/(-160) + 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 6. Let b be i(-9). Let g = 0 + b. Find the third derivative of 0 + 2*l**2 + 1 - 1 - 3*l**g wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(128) + (1*sqrt(242))**2 - ((sqrt(98)*3 - sqrt(98))**2 + sqrt(98))*-3.\nAnswer: 29*sqrt(2) + 1416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*g - 1113*g + 30141 = 0 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/((-882)\/294)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/2976 and 95\/15104688.\nAnswer: 30209376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) 344\/3 (b) -0.08 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 244 - -2?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6\/13, -3\/5, -3, -0.2 in descending order.\nAnswer: 0, -0.2, -6\/13, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17584500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 2*x - 2*x)*(-27*x**2 + 27*x**2 - 13*x**4) + (-1 + 3 - 4)*((3*x**4 - x**4 + 3*x**4)*(2*x - 2*x - 2*x) - x**2 + 2*x**5 + 0*x**5 + 2*x**2).\nAnswer: 94*x**5 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 91202 (c) -855\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2779 and 72651?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 86*f**2 - 58*f + 81. Let k be g(42). Calculate the greatest common factor of k and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -85. Suppose 7*t = 6*t + m. Let l(f) = 2*f**2 - 4*f - 4. Calculate l(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*3*(-7)\/(-21). Let s(j) = j - 4. Let v be s(3). Let l be v\/c - 10\/12. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8320341?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1371 (base 12) to base 4.\nAnswer: -203011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 0*q - 5 + 2*q - 2*q. Let x be p(1). Which is the biggest value? (a) -1\/5 (b) x (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229906 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-840 - -828) + (-1 + 3 - -10) + 1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -468, -1\/4, -2\/27, -0.16?\nAnswer: -468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o + 104 = -11*o. Solve 0 = 4*n - 2*n - o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/x**4)\/x**(-1\/4))\/((x**14\/x)\/x**2) assuming x is positive.\nAnswer: x**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k + k - 3553 + 3553. Let n(r) = 58*r**2. Give n(i(y)).\nAnswer: 522*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92020 is divided by 46004.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.4 (b) -1\/7 (c) 0.06 (d) -0.2 (e) 0.29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10001111011 (base 2) to base 13\nAnswer: 6a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i + 13 - i**3 - 9 - 4*i - 4.\nAnswer: -i**3 + 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*a - 38. Suppose 9 = 3*i - 51. What is the smallest common multiple of i and a?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 5*h = -20, -5*h + 2*h + 5 = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3362.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(3\/5))\/(j\/(j**(-1\/7)*j)))\/(((j\/(j\/(j*(j**7*j*j)\/j*j)))\/j)\/j*j*j*j**(8\/9)*j) assuming j is positive.\nAnswer: j**(-3286\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 190327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j. Let w(t) = t**2 + t. Let p(n) = 50*n**2 + 40*n. Suppose -4*y - 20 = k + 36, 0 = -5*k - 5*y - 220. Let z(i) = k*w(i) + p(i). Give l(z(o)).\nAnswer: 80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 4:37 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o + 208 + 262 + o - 114. Let p be z(0). Suppose -3*u + p = 8. Does u = 116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/(-203) + (-5)\/(315\/(-22)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 2*u**2 + u + 111. Let a be m(0). Factor -36*w + a*w**2 - 27 - 224*w**2 + 101*w**2.\nAnswer: -3*(2*w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**3*z - u**3 + 2*u**2*z - 2*u*z + 2*z wrt u.\nAnswer: -18*u*z - 6*u + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 294107 to the power of 1\/2, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 22.517064 months?\nAnswer: 0.001876422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p**2 - 91*p + 1885. Let o be u(39). What is the highest common divisor of 130 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**4\/24 - n**3\/12 - n**2\/2 + 11*n - 30. Let s(v) be the first derivative of a(v). Factor s(m).\nAnswer: (m - 2)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 624803982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 13*w + 19. Let c be x(18). Let a = c + -212. Let z = -53 - a. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 269, 7.3 in decreasing order.\nAnswer: 269, 7.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.2 (b) 0 (c) -0.038 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -570 - -572. Let b(f) = -5*f - 2*f**2 - 20 + 0*f**2 + 19. Let u be b(-3). Sort d, u, -5, 0.11 in descending order.\nAnswer: d, 0.11, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3 - 605*i**2 + 61430*i - 291400 = 0. Calculate i.\nAnswer: -188, 5, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.47722152 - -0.47721602. Let j = g + 11. What is j rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -33. Which is the smallest value? (a) -2\/3 (b) u (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eidfdbefeereee. What is prob of sequence ddi?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-1)\/4)*1. Let k = -173\/9 + 19. Let t = -2 + 6. Sort q, k, t in descending order.\nAnswer: t, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v - 5. Let m be a(5). Suppose -4*h - 3*b = -534, -m*h = 3*b - 228 - 438. Calculate the greatest common divisor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 55 = -5*l, -24*l + 20 = -26*l - 4*o. Solve -39*h + l*h + 245 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - (-14570)\/(-155))\/((-4)\/(-2)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2093 - 2?\nAnswer: -2095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1190721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(25)*1*1*-1)\/(-1*sqrt(245) - (sqrt(80) + (sqrt(80)*-2 - sqrt(80)) + sqrt(80) + sqrt(80) + sqrt(5))) + 3)**2.\nAnswer: 3*sqrt(5)\/4 + 581\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71\/3 + 24. Let v = 0.1 - 0.1. Let i = 1 + v. What is the closest to a in 2, 1\/6, i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15843.\nAnswer: 3, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1017, -1475, -1373, -711, 511, 2293, 4635?\nAnswer: 7537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + (sqrt(500)*-1*-1 - sqrt(500)) + -4)**2 + 5.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4576631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuvm when four letters picked without replacement from nnnnumnvvnnnmmnnnnn?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 less than or equal to -0.331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6294.\nAnswer: 2, 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -359*r**3 + r**2 - 3*r - 1. Let v be m(-1). Let l(f) = -f**2 - 362 + v. Let w(p) = 27*p. Give l(w(t)).\nAnswer: -729*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 92665?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -1\/56 (b) 2\/5 (c) 1 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) - -1*sqrt(264) - sqrt(264))\/sqrt(8)*3)\/(5*3*sqrt(176)).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 18 (b) -1\/5 (c) -29 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64\/32 + (2 - 2\/(-2)). Suppose -3*l + l + 10 = c, 25 = k*l + 5*c. Solve 0 = l*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*15\/(-20)*3)\/1 - (-3706)\/34?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2220 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*n + 17 = 0, -4*n + 2 - 5 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*a - 16*a + 99*a**2 - 36*a - 28*a.\nAnswer: 99*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*j - 5*n + 212, 152 = 3*j + 4*n. Suppose 2*z + 4*a = -j, -2*z - z = -a + 49. Let q = 50 + z. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34146.873367 from -13986.\nAnswer: -48132.873367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 684\/9*((65\/(-26))\/5)\/(-2)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 1412*l + 2826. Let i(p) = 22*p**2 + 15534*p - 31088. Let m(u) = 6*i(u) + 68*v(u). Determine x, given that m(x) = 0.\nAnswer: -705, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -2, -0.2, -4\/23 in decreasing order.\nAnswer: -4\/23, -0.2, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005136 to five decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.408 - 2.408. Let k = -107 + 106. Which is the third biggest value? (a) k (b) 0 (c) 0.1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -380 + 577. Suppose 3*t = -x + 29, -5*x + q = -0*t + 2*t. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttitootitiifff. Give prob of picking 3 t and 1 i.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-3 - (-1 - 1 - -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 863 = -2305. Suppose 3*u = -u + w. Calculate the smallest common multiple of 46 and (-2)\/14 - u\/(-14).\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 179 + -266. Let i = w + 160. Does 52 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 57*c**3 - 1092*c**2 + 5*c + 5. Let h(s) = 86*s**3 - 1637*s**2 + 8*s + 8. Let a(m) = 5*h(m) - 8*j(m). What is the third derivative of a(u) wrt u?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b6b9 (base 12) to base 9\nAnswer: -30406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 129, 264, 399, 534?\n\"Answer: 135*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 11:27 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-15) - (-264)\/9) + -4. Solve -j - 4*j = -u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1086*t**2 - 7*t - 4. Let q be s(-1). Let w = q + -698. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*z - 322*z + 1330 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5400.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46439007 and 7289.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455847134?\nAnswer: 2, 643, 354469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 4 + 6*c + c**2 + 0 + 0*c**2. Let h be (-1)\/(-3) + 40\/6. Let d be g(h). What is the highest common factor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27744 or 27742?\nAnswer: 27742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + -5 - -4) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11131013311 (base 4) in base 6?\nAnswer: 50352221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**4\/24 + 2*a**3 + 3*a**2. Let m be j(12). Solve m = 2*q - 7*q + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1)*g))**17\/(g*g**(2\/13)\/g*g**(-2\/9)*g) assuming g is positive.\nAnswer: g**(1880\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3744\/(-267) + 7137\/488 + (-10)\/16.\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2381 + 1073 = 34*l - 934 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**3 + 10*c**3 - 3*c**3 - 9*c**3 + 6*c**3.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 3\/2*z**2 + 4 + 5*z. What is h(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40815\/(-9990) + 10\/(-12). Does g = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) - (sqrt(170) + (sqrt(170) - (sqrt(170) + -4*sqrt(170)))))*6)\/(sqrt(10) + sqrt(60)\/(-2*sqrt(6))).\nAnswer: 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (9 + -4 - -2) + (47 - (7 - 6)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14809729 to the nearest integer?\nAnswer: 3848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/151018 and 31\/20?\nAnswer: 1510180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 7, 183, 259 in ascending order.\nAnswer: -28, 7, 183, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -11. Let c = i + 53. Calculate the remainder when c is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82185 and 108?\nAnswer: 2958660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h + 33. Let r(d) = h*d - 12*d - 44*d - 13*d. Let u(m) = m**2. What is u(r(p))?\nAnswer: 1296*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 438*t - 436*t = 16, 3*o + 4*t = 27 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7895*s**2 + 3098*s - 36. Let b(o) = -7*o**2 + o + 3. Let x(u) = -12*b(u) - h(u). Find the second derivative of x(t) wrt t.\nAnswer: -15622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 220 = z + 4*m, 5*m = -25. Find the third derivative of -4*i**2 + 103*i**5 + 14*i**2 - z*i**5 wrt i.\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012151 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(10\/18) - (-2 - 0) and 67\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 135 = -5*c, -3*c + 2*c + f = 27. Suppose 3*x - g = 23, -3*x + 3*g = 4*g - 13. Let a be 27\/x*36\/c. Let l(o) = o + 5. Calculate l(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 19 + 16 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58291762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9687 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 67894, 270592, 608422, 1081384, 1689478?\n\"Answer: 67566*s**2 + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, f: 1, l: 1, b: 4}. Give prob of sequence lb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + l + 2*l)*(12 - 1 - 3 + (1 + 4 - 7)*(-1 - 1 + 1) + 0 + 1 + 0 - 4 + 1 + 2 - 4 + 5 - 3) + (-2*l - 14*l + 3*l)*(4 - 4 + 2).\nAnswer: -34*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3\/5 + 1436*s**2\/5 - 53504*s + 3469312\/5 = 0.\nAnswer: 14, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 134 = -260. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286965849.\nAnswer: 3, 131, 191, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Suppose 6*x + 22 = 28. Suppose 5*s - 5*l + 5 = -l, -s - n*l = x. Put -1\/4, s, 1 in increasing order.\nAnswer: s, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1050116 times 10.5\nAnswer: 1.1026218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/6*(-12)\/(-5). Let a be 25\/9 + (-4)\/r. Suppose -2*d - a*h = -2*h - 8, -3*d = -3*h - 3. Solve 4*f - 15 + d = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 17*l**4\/4 + 3*l**2 + 3*l + 48. What is the second derivative of g(t) wrt t?\nAnswer: 102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d + 20 = 0. Let i = d + 11. What is the lowest common multiple of 18 and i?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:28 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44315838 to the power of 1\/2, to the nearest integer?\nAnswer: 6657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1746*p - 697*p - 10490 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79069*x**4 + 23362*x**2?\nAnswer: 1897656*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + -20. Let v = r - -71. Calculate the highest common factor of 55 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426*y + 497 = -1633. Let m(l) = l**3 + 8*l**2 + 3*l - 5. Let c be m(-7). Solve 3*j - 14 = y*j + 2*r, -3*r - c = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -46, -2, -0.03, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 8. Let x be j(8). Suppose x*t = -2*t + 18. Calculate the least common multiple of (t\/(-6))\/((-1)\/12) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 275810*t**3 - 6*t**2 + 21908*t?\nAnswer: 1654860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*((-37536)\/(-72))\/(-17).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550) + 1*sqrt(550))\/sqrt(11) - (sqrt(20)\/(sqrt(250) + sqrt(10)) + -1))**2.\nAnswer: 59*sqrt(2)\/3 + 3499\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3)*(1 + 2). What is the units digit of (15\/(-25))\/(k\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -277*h**2 + 14*h + 2639. Let q(j) = -198*j**2 + 10*j + 1759. Let o(m) = -5*a(m) + 7*q(m). Let v(b) = b**2. Give v(o(z)).\nAnswer: z**4 + 1764*z**2 + 777924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 g, and 1 s when three letters picked without replacement from grpddrsrprrrrw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/11 and 26\/275.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (7 + -6 + 14 + -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 342.04 - 373.281. Let t = 0.059 - j. Round t to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 15 = 280838*u - 280837*u, 0 = -6*r - 5*u - 42 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 323466 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 4:31 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/(-220) - (-46)\/10 - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 6)*2\/(-4). Let g = n - -10. Suppose -3*j + 4 = -g. Let v(m) = -m**3 + 4*m**2 + 6*m + 4. What is v(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22021102 (base 4) to base 9\nAnswer: 63001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 8*n**2 + n + 23. Suppose -9*u + 5 = -58. Suppose u*f + 48 = f. Let c be a(f). Calculate the highest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532 is divided by 115.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/145637863 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**3 - 5. Let m(n) = n**3 - 1. Let l be ((-4)\/(-8))\/(1\/(-6)). Let z = -5 - l. Let u(i) = z*m(i) + a(i). Differentiate u(y) with respect to y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50 and 4551.156?\nAnswer: -227557.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v + 22. Let d be m(-5). Let i be (d\/4)\/(((-140)\/16)\/7). Which is the nearest to -2? (a) i (b) -27 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -17) + -3 - (12 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 45892e?\nAnswer: 458931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*a + 115*a + a**2 + 1 - 1 to the form y + n*a**2 + w*a and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -900, -1, 5, 4, 3 in descending order.\nAnswer: 5, 4, 3, 0, -1, -900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -4. Suppose t = 2 + c. Suppose -3*u - u - t = -2*p, -2 = -p + 3*u. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*g - 3517 + 0*g + 3522)*(4 - 2 + 0) to s + d*g and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-1 - (-5 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5924911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 449 divided by -1\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)\/r*r**(-1\/17))\/(r*r\/(r*r*r*(r**(2\/13)*r)\/r)*r)**(-1\/91))**(-40) assuming r is positive.\nAnswer: r**(5679760\/20111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2. Let z be 0\/(6\/(-2) - -5). Let c(w) = w**3 + 2*w + 2. Let p be c(z). Let m(a) = -a + 5*a + p*a**2 - 4*a. Give y(m(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1955?\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*t - 13*t = 325435. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 5*i + 5. Let f be h(2). Suppose 5*g - 50 = f*w, -3*g - g - w + 23 = 0. Solve 0 = -g*v + 6*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7454037553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/((sqrt(60) - sqrt(60)*2)\/sqrt(6)) - ((sqrt(21) + sqrt(3087)\/sqrt(3))\/sqrt(3))**2.\nAnswer: -448 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 divided by -6?\nAnswer: -115\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 97. Let x be -24*(-12 + (-4872)\/(-324)). Let k = h - x. What is the third biggest value in 3\/7, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1988 is divided by 41.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 431051?\nAnswer: -431056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 956436 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*k**2 + 5\/6*k + 2\/3.\nAnswer: (k + 1)*(k + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -2 + 0 - 1)*-21. Suppose -m*a + 8*a = -65. Solve 2*c + a = 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b + 4*b - 2*b + (1 - 1 + 2*b)*(2 - 1 - 3) + 32*b + 42 - 42 to k + i*b and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 14. Suppose 22*b = 201 + 41. Calculate p(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26768 and -0.4.\nAnswer: -26768.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - 40. Suppose -31*a = -y*a - 9. Suppose 3*v = v + 12. Solve -a*k + 0 = -v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -17*c - 22. Let r be a(6). Let u = -42 - r. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 1. Suppose 30*h - 2023 - 677 = 105*h. Put r, h, 2\/9 in increasing order.\nAnswer: h, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9308100.\nAnswer: 2, 3, 5, 19, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 1 + 5 + 3 + 8*d. Let s be g(12). Suppose -69 = -6*f + s. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 5*z**2 + 3*z. Let w be y(3). List the prime factors of (-4179)\/w - (-4)\/6.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (2 - 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4305033110351.4999981 - 4305036134321. Let u = -3023952.5 - h. Let o = 17 - u. What is o rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (3 + -8))*1. Let j be (-8)\/(y\/(-2))*-1. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, f: 2, b: 7, j: 2, k: 3, c: 1}. Give prob of picking 1 j and 2 f.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + -78 + 75?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-108)\/(-15) - (-1)\/(-5). Let j(m) = -4836*m**2 - 8*m + 20. Let x be j(i). Round x to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51913265.\nAnswer: 5, 10382653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1367\nAnswer: 136.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 2*i - 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -4. Let o be 822\/(-10) + k\/25. Let u = o - -117. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15320 = 74*q - 66*q. Suppose 0 = -6*h - 355 + q. What is the highest common factor of 39 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 11:16 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46864637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1345 - -1047. Let j = h + -990. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9395, -9388, -9381, -9374, -9367, -9360?\nAnswer: -9353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -466712.\nAnswer: -3\/466712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7813494152 rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -97.31447\nAnswer: -194.62894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = b + 648. Calculate the remainder when 1078 is divided by b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**4\/2 - 111*z**3\/2 + 45*z**2\/2 + 5943*z\/2 - 2940 = 0.\nAnswer: -7, 1, 8, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54*(-5 - (-245)\/15)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6624)\/115)\/(-32))\/(120\/(-20))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**3 + 11*y**2 + 2*y - 3. Let r(h) = -8 - 4*h - 12*h**3 + h**3 + 370242*h**2 - 370210*h**2 + 9*h. Determine -8*c(q) + 3*r(q).\nAnswer: -q**3 + 8*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 e, and 1 q when three letters picked without replacement from {p: 4, q: 1, t: 1, e: 1, j: 11, s: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3 - 299888*v**2 - 2099374*v + 8997060 = 0. What is v?\nAnswer: -10, 3, 149951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242 + 242 - 75*f**2.\nAnswer: -75*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -15037171.\nAnswer: 451115.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -107*y - 36. Let p be r(0). Let d(i) = i - 1. Let j(o) = 4*o - 9. Calculate p*d(h) + 4*j(h).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*s**2*v + 37*h**2*s*v**2 - h**2*v**2 + 9*h*s*v**2 - s**2*v wrt h.\nAnswer: 4*s**2*v + 74*s*v**2 - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x**2 + x**3 - 9*x**2 + 4316*x + 20*x**4 - 4334*x + (-x + 4*x - x)*(x**2 + x**3 - x**2) to the form l*x**3 + z*x**2 + t*x**4 + p + h*x and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (13 + -5)) + (1 - -2) + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u**3 - 4*u**2 + 3*u - 45. Let t(k) = 2*k**3 - 2*k**2 - 4*k + 1. Let r(q) = 3*t(q) + x(q). Determine r(-10).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 699*u + 2 + 352*u + 6 - 333*u. Let n be r(-6). Round n to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2. Let j(k) = 4*k**2 + k. Let s = -13 - -23. Suppose -3*r - s = -5*r. Determine r*y(v) + 2*j(v).\nAnswer: -2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90*5.6.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 + 12*f + 37 + (1 - 1 - 2*f)*(3 - 1 - 1))*(-2*f - 2*f + 3*f) as t + p*f**2 + b*f and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 355200, 355137, 355074?\nAnswer: 355011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3040 by 40.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26414 and 116763087.\nAnswer: 233526174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-312)\/(-42900)*(-3 + (-2 - -7 - 7))\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 5:15 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 0*i**2 + 0*i**2 + 2*i**2. Let s(h) be the first derivative of 2\/3*h**3 + 0*h**2 - 1 + 0*h. Calculate s(c(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + t + 15887, -21156 = -4*b + 32*t - 36*t. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -582*q + 29. List the prime factors of x(-2).\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92.234 - -10.014. Let x = h - -51.8. Let v = -31 - x. Round v to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3667873 and 484?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9910.2*-3\nAnswer: -29730.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.403251 rounded to one dp?\nAnswer: -59.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 7*p**2\/2 - 7*p + 5. Let f = 18 - 13. Suppose -f*t = 24 + 1. Let l(h) = 4*h - 4. Determine t*l(b) + 3*d(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 175738 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -47ad (base 14) in base 13?\nAnswer: -58c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b + 46. Let r(s) = 10*s**2 + 2*s. Let h be r(1). What is the tens digit of t(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*f**3\/4 + 583*f**2 - 29465*f - 1129184.\nAnswer: -(f - 142)**2*(9*f + 224)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, -46, -129, -296, -577?\n\"Answer: -5*q**3 + 3*q**2 - 3*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -36*s + 731. Let m be q(20). Let j(u) = -4*u**2 + 25. Let w(k) = -k**2 + 5. Calculate m*w(i) - 2*j(i).\nAnswer: -3*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -32*f - 145. Give n(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1959705538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.62414 to two dps.\nAnswer: 15.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -13 (b) 0.5 (c) 0.1 (d) -7\/10 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/283, -51\/2, 4.5, -0.106?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -682\/9. Which is the closest to 1\/2? (a) u (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 48*c**2 + 89*c - 9. Suppose 0 = 10*j + 13*j - 506. Let x be q(j). Solve t = 5*f - 22, t - 4*f + 4 + x = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:28 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 207.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**5 + 160*o**4 - 1560*o**3 + 4480*o**2 - 3920*o.\nAnswer: -5*o*(o - 14)**2*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/568776 and -41\/164070.\nAnswer: 8531640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hohhhoohhohhhhhhhh. What is prob of picking 3 h?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*s + 14747879 - 143387879. Round s to the nearest one hundred thousand.\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 584*h**2 + 8408*h**2 - 288*h**2 in the form s*h + q + i*h**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1561*l - 1557*l = z - 44, -2*z = -4*l - 40 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/272 and 172\/(-7310)*430\/88?\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-136)*-18)\/(150\/400)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*h = -v + 492, 4*h = -4*v + 944. Suppose v = 16*q + 1. Which is smaller: 6 or q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -234100000 to the nearest one million.\nAnswer: -234000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13557 + 22215. Are x and 8657 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -2 (c) -4 (d) 1343\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwuu when four letters picked without replacement from uppwgppuggpwgwwu.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10885 - 1?\nAnswer: 10884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -433, -7, -0.5, -4 in descending order.\nAnswer: -0.4, -0.5, -4, -7, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 716, 2597, 5730, 10115?\nAnswer: 15752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.96 + 6.8823. What is t rounded to two decimal places?\nAnswer: 4.92","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -141*g**4 - 2 + 145*g**4 - 52 + (4 - 4 - g**4)*(-5 - 3 - 2) + g**4 + 2*g**3 + 0*g**3 - 3*g**4.\nAnswer: 12*g**4 + 2*g**3 - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 25*b**3 + 189*b**2\/2 - 37. What is the second derivative of d(l) wrt l?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3785 + 3785.3. Which is the nearest to 2? (a) -1\/4 (b) 2\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 43. Let v(h) = 0*h**2 - o*h + 3*h**2 + 8 + 6*h - 18*h. Does 14 divide v(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-646)\/(-8) + (-51)\/68. Suppose -b = -10*h - 50. Solve 7 = -h*v - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8472373687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 17 = -21. Let l = 4 - 2. Is m >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*d + 8, -5*d = -2*d - 5*g + 4. Suppose 3*c - 3 = -r + 2*c, r - 2*c - 12 = 0. Suppose -2*f + r = -4. Solve 0 = d*m - f*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 8*n + 4*n - 3*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 2)*10\/(-4). Let t be (-8)\/u*3\/36. Let f be (-10)\/35 + (-16)\/(-7). Which is the closest to 0? (a) f (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/50)\/(9\/(-45)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -273, 0.1, -4\/3, -21 in decreasing order.\nAnswer: 1, 0.1, -4\/3, -21, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83 and 21977819?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(224))\/sqrt(7))**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.9 - -1.5. Let b = 6 + -5.99. Let z = -1.01 + b. What is the closest to z in 0.2, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64 + -12?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*u = 28, -83*j + 78*j - 3*u = 35. Which is the second smallest value? (a) 30 (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 409 + 249 = 0. Let v be (d + 3 - 0) + -4. Find the common denominator of 8\/(-54)*v\/10 and -113\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*59\/(-295) - -79.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*u - 35*u + 13*u**3.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 309981.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k)**34\/(k**(3\/4))**(-13\/3) assuming k is positive.\nAnswer: k**(421\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a - -2c0?\nAnswer: 32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 2*o - 4*o)*(-10 - 4 + 2) as j*o + t and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 86.70452l?\nAnswer: 86704.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 5. Let y be z(12). Let t = -6 - y. Suppose -2*s = -5*b - 34, 3*s + 3*b = 24 - 36. Is s not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffxof. Give prob of sequence fofx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -3 + 18\/2. Suppose 4*m - m + x = -2*v, -5*m - 4 = v. Let c = 9 - v. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*a - 132. Let n be a\/20 + (-2)\/10. Let w(r) = -2*r - 28. Let c be w(-16). Solve 2*u + c = -n*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - -112. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -34*j - 2001. What is m(-59)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4678782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 411. Let g be k(-5). What is the third smallest value in 13, g, -2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*v - 3232 + 8512 = 169*v. Calculate the greatest common factor of v and 10285.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100 + 100100?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 21146*j**2. Let d(z) = -15*z. What is d(y(l))?\nAnswer: -317190*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -393, -76 in decreasing order.\nAnswer: -5, -76, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uivuuuki. What is prob of sequence vk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, 3, -20, -3, 10 in ascending order.\nAnswer: -20, -3, 3, 4, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 2*b**2 + 2*b - 3. Calculate h(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8973046 is divided by 2755?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + -0.4. Let r = 6742\/5 - 1349. What is the closest to 0.06 in d, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 - 0.25. Let g = 0.1 + o. Let s = 1.56 - g. Round s to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 31 = 5*i - 5*u, -3*i = -5*u + 23. Let v(a) = a**3 + 7*a**2 + 8*a + 5. Give v(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 274 - 331 - 364 + 107. Let p(a) = -2*a. Calculate p(g(f)).\nAnswer: 4*f + 1724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-328)\/(-40) - 8)*1420. What is the highest common divisor of 213 and c?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**2 + 49*v + 66. Let y(z) = -6*z**2 + 38*z + 66. Let d(m) = -5*j(m) + 6*y(m). What is d(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from gkkkkg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -230 - -362. Let d = i - 112. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/(-6) + 7)*-54. Suppose 4*h = -b + 182, 3*b - 102 = -5*h + 409. Suppose i + i - b = 0. What is the greatest common factor of i and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/170445 and -161\/185940.\nAnswer: 2045340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2195 - -2198. Let j = -11\/8 - -15\/8. Which is the closest to 0? (a) n (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1576222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -390 + 470. Suppose g - p = -7*g. Which is greater: 100\/11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4916000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p + 7 = 3*s, 5*p - 10 = 0. Suppose -f - s*z = -150, -3*f = 2*f + z - 722. Calculate the highest common divisor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -31. Suppose 4*n - 18 = -m. Let a(p) = p**2 - 6*p + 6*p + p + n. Give a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439.740259 rounded to one dp?\nAnswer: 439.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 4. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -475*a + 1038*a - 517*a. Let i(v) = 10*v + 5. Let m(y) = 9*y + 4. Let l(w) = -6*i(w) + 7*m(w). What is l(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from tsst?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 836 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 156898539*z**2 + 2051429216578605*z - 2051429373477147.\nAnswer: 3*(z - 1)*(z + 26149757)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (-2 - -3))\/(-2). Let k be (-77 - y)*(-3)\/6. Let z = 40 - k. What is the nearest to 1 in z, 4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-30 - -6) + 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1066982, -2133991, -3201000, -4268009, -5335018, -6402027?\nAnswer: -7469036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*0.0746051.\nAnswer: -1.4174969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 254 + -350. Is -97 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7\/6)\/(l\/l**(-4)) assuming l is positive.\nAnswer: l**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 134\/5 (c) -2\/21 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 0.231?\nAnswer: 0.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - -25. Let b = s + -58. What is the least common multiple of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 1. Let p be s(3). Which is smaller: p or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59485 and 285.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -21*a**3 - 4*a**2 - 5*a - 2. Let w be o(-1). What is the highest common factor of 540 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2526781\/108 - 70190\/3. Let u = -202\/921 + -27419\/33156. Find the common denominator of c and u.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2.9. Let s = 6.5 + 2.5. Let j be (-1 - (-7)\/18) + 118\/1062. What is the third biggest value in t, j, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -19*g + 6. Let r be t(-5). Suppose -4*d = -163 - r. Let q be 44\/1 + (0 - 0). Calculate the highest common divisor of q and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veae when four letters picked without replacement from {v: 1, e: 9, a: 1, q: 2}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121328011 is divided by 1213280?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*t**2 + 23*t - 16*t + 20*t**2.\nAnswer: 52*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1272 - 166 + 18725 = 293*b for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2\/6 + 89*x\/3 - 2001\/2 = 0.\nAnswer: -207, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d + 16*d + 15 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 574.889?\nAnswer: -574.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -3\/13 (b) 3 (c) -545\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/44672 and -41\/2814336?\nAnswer: 2814336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 20*r + 479 = -17*r, -a + 4*r + 134 = 0. What are the prime factors of 14\/(-4) + 19947\/a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, 5, 32\/15, 2, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 8:34 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*6*(-12)\/24. Let v(a) be the second derivative of -1\/24*a**4 + 0 + 1\/24*a**3 - z*a + 1\/8*a**2. Solve v(m) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -844*y - 99. Let q be w(29). Let v be 6\/(-75) + (-2016)\/q. Is v greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 178080 and 2310.\nAnswer: 1958880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, r: 1, o: 2, h: 2, p: 2, s: 4}. Give prob of picking 2 p and 1 r.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhah when four letters picked without replacement from {x: 6, h: 2, z: 1, a: 3, y: 1}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 690442 + 812*z + 690442 as w*z + u + d*z**2 and give w.\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3703576.\nAnswer: 2, 462947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - g + 87, 5*g = 15. Let a = 93 + r. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 5, -2854.\nAnswer: -2854, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 7856?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -2200*a + 2215*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 143102, 143333, 143552, 143753, 143930, 144077?\n\"Answer: -q**3 + 238*q + 142865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a week in minutes?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10101010 (base 2) to base 5\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25861821 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = h - 14, 5*h - 2*o - 18 = -0*o. Suppose -4*b - h*b = 0. Suppose 2*g + 3*g - 120 = b. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 2\/11, -5, 4\/5, -167, 254?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -328858809 + -52542?\nAnswer: -328911351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753694 is divided by 2348.\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-580)\/(-87)*-3*(5 - 262\/52).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/90*-3*(2 + 0)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -5 - 5) + (84 - 91)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -39*o + 41*o. Suppose -370 = -o*u + 3*u. Suppose -u + 2 = -m. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r + 1. Determine v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2548\/3, -5, -0.04, -1\/6, 1\/27 in descending order.\nAnswer: 2548\/3, 1\/27, -0.04, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*p - 2769 + 1254 - 28942 = -1871*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 - 306*q + 9072 = 0 for q.\nAnswer: -126, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18995 is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -5484\nAnswer: -2\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.6 + -15.6. Which is the smallest value? (a) 3\/8 (b) -3 (c) s (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/3, 5\/9, 41, -4\/7, 1 in increasing order.\nAnswer: -4\/7, -1\/3, 5\/9, 1, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 138*(-4)\/28*35\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-2))\/((-12661)\/13812)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 128423476 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiwiwiiiowiwioowi. Give prob of sequence iio.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j + 2 + 63 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 0 - 20*t - 22*t + 9*t**2 - 3 + 43*t. Is z(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -517 + 517.1. What is the closest to c in -1, 0.4, -11, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*d + 117772 = 3*t, 147215 = 5*t + 3*d. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 2 + b + 0 - 3*b + 2*b + 0*b + 2 - 2 + 2*b + b - 4*b + 2*b + b + 3*b - 2*b + (-2*b + 2 - 2)*(0 - 3 + 1) + 0 - 2*b + 0.\nAnswer: 5*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - 1 + 1)*(-4*m - m + 7*m) - m**5 - 2*m**5 + 0*m**5 + (-3 + 3*m**5 + 3)*(-63 + 31 - 52)*(3 + 1 - 2)*(-1 - 1 + 1).\nAnswer: 499*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from {g: 4, r: 15}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18177 + 18175. Sort 49, -1, 6, x in decreasing order.\nAnswer: 49, 6, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7129750 and 21?\nAnswer: 7129729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 c, and 1 h when three letters picked without replacement from ggjcjajhcgjgaaag.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4279 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p*p*p**(-1\/2)\/p)*p**(-14)*p assuming p is positive.\nAnswer: p**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (0 - 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((26 - 33 + 89)*(6 - 8*l - 6) - 4 + 4 + 2*l)*((0 - 2 + 3)*(2*l + l - 5*l) - 2 + l + 2 + 0 + 0 + 2*l + 6*l - 3*l - l) as b*l**2 + x*l + i and give b.\nAnswer: -1962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-21)*4*(-252)\/48?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/35 and 32\/55405?\nAnswer: 55405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 58, 92, 110, 106, 74, 8, -98, -250?\n\"Answer: -i**3 - 2*i**2 + 47*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 2*g**2 + 12. Let x(a) = 4*a**3 - 4*a**2 - 24. Determine 9*q(n) + 4*x(n).\nAnswer: -2*n**3 + 2*n**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 1*(-2)\/1. Let x = -7 - z. Which is smaller: -10 or x?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 43 = 5*b, 2*h = 3*h - 2*b - 20. Which is greater: h or 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 99\/4. Let l = -5.3 - -5. Let m = 4.4 - 4. Which is the nearest to n? (a) 5 (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (378\/15)\/((-6)\/20). Let h(d) = d**3 + 22*d**2 + 13*d - 5. Let f be h(-21). Let w = g + f. Round w to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16529 at most as big as -27103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-35\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -34*k**2 + 3. Let i(x) = -x**2 + 2*x + 26. Let o be i(7). Let d(m) = 69*m**2 - 6. Let y(q) = o*t(q) - 4*d(q). Differentiate y(h) wrt h.\nAnswer: 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144937 divided by 4?\nAnswer: -1144937\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -53, 5, 0.2?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3408458*r**2. Let g(f) = -18*f. Determine y(g(t)).\nAnswer: 1104340392*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002862 rounded to 4 dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - 3*n**3)*(32*n + 2*n**2 - 3*n**2 - 34*n).\nAnswer: 3*n**5 + 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**3\/3 + 10*h + 4. List the prime factors of q(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five halves of a milligram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*f - 3*z, 0 = 2*f + 2*f + 5*z - 16. Suppose 0 = -k - 5*j + 69, 5*j = f*k + 4*j - 360. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -111*j**3 - j**2 - 3*j - 1. Let w(r) = -223*r**3 - 3*r**2 - 7*r - 4. Let p(f) = -7*b(f) + 3*w(f). Find the third derivative of p(z) wrt z.\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*b + 6. Suppose -6*k**4 - 19*k**b + 2*k**4 + 28*k + 46 - 54 - 17*k**2 + 20*k**3 = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-3 - -1))\/1. Suppose -q*o - 1256 = -4*i - 179, -2*i = o - 541. Suppose -i = -3*m + 5*k, m + 5*k - 31 - 59 = 0. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4*b - b)*(817337 - 1314*b**2 - 817337) + (0 + b + 0)*(b**2 - 4*b**2 + 2*b**2).\nAnswer: -2629*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/6399 and 5\/2610792.\nAnswer: 2610792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89681653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 685*r - 34010. Let f be g(-44). Suppose 0 + 1\/4*h**3 - f*h**2 - 9\/4*h = 0. What is h?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 12. Let g be w(5). Let r be g + -2 + 1 + -4. Put r, -4, 3 in increasing order.\nAnswer: r, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 57*p**3 + 2*p**3 + 9*p**3 in the form o*p**3 + v*p**2 + h + n*p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 4*710\/(-280))*1\/2?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17*108\/(-2754))\/(-2*(-1)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q*(q\/((q\/((q\/(q**(-3\/5)*q)*q*q)\/q))\/q))\/q*q*q*q))\/(q\/q**(-2\/13)))**(6\/11))**(2\/23))**(-33\/5) assuming q is positive.\nAnswer: q**(13464\/7475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56104081259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*k + 15 + 5 = 0, 3*k = -3*h - 18. Let s(p) = -p - 4. Let m be s(h). Suppose m = 25*o - 21*o - 40. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 499*y + 499. Let p be a(-1). Let z = 6 - 3. Solve 10 = q - 0*q - 4*o, -z*q - 3*o = p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*((3*k - 4*k - k)*(-3 + 3 - 2) + 2*k - 5*k + 0*k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 184167 and -204.\nAnswer: -37570068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4)*3)\/(62379\/(-1912))*-3?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 68 - 44\/(924\/735)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 14*j - 43. Let b be p(-6). Suppose d - 55 = -3*v, -48 = -b*v + d + 57. Calculate the lowest common multiple of 32 and v.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -101001001?\nAnswer: 101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3 - 7540*w**2 - 235820*w + 501840 = 0. What is w?\nAnswer: -1476, -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 927\/845 - 84\/169. Put 2\/17, -4\/7, 2\/3, o, -4\/5 in decreasing order.\nAnswer: 2\/3, o, 2\/17, -4\/7, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2. Let a(p) = 99*p**2 - 5*p - 5. Let m(l) = -99*l**2 + 6*l + 6. Let j(x) = 6*a(x) + 5*m(x). Determine j(v(z)).\nAnswer: 396*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 144*a - 1059. Let g be w(7). Let j = 12 + -17. Let q = 40 - 159\/4. What is the nearest to -3 in q, j, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -62*b + 5246 + 65*b - 5246. Let s(t) = -2*t - 17. Determine s(f(o)).\nAnswer: -6*o - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1857*u + 200*u - 90321 = 7*u + 107*u for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 484 and 67892.\nAnswer: 746812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 3091?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Let t = -47 + 49.1. Let x = t + -2. What is the nearest to 2\/7 in -2, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -98287901, -196575802, -294863703?\n\"Answer: -98287901*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2)*(u*(u\/((u\/((u**(2\/9)\/u*u)\/u))\/u))\/u)\/u)\/(u\/(u\/(u\/((u**(-2\/3)\/u)\/u))))**39 assuming u is positive.\nAnswer: u**(-2561\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/30 - 23*x**4\/6 - 91*x**3 - 3075*x**2. Find l such that m(l) = 0.\nAnswer: -39, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - 0.4. Let b = -3.9 + 2.9. Let d = b + 1.4. What is the closest to 0.1 in 0, w, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16107*u**3 + 31813*u**2?\nAnswer: 96642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 507*p - 28677. Determine h(78).\nAnswer: -1299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 3*j - 8 = -26*o, j - 1 = 0. Solve 0 = 5*b - t, b - o*t = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1740 = -375. Let x(j) = 23 + 37 - 19*j + 45*j - 116 + 25. Let s be x(3). What is the highest common divisor of s and o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1011, -2024, -3057, -4116, -5207, -6336, -7509, -8732?\n\"Answer: -d**3 - 4*d**2 - 994*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -102, -5 in decreasing order.\nAnswer: 84, -5, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 182 = 4*r. Let g be -1 + r\/(-14) + 87\/(-203). Suppose -5*q = l - 0*l - 1818, 5472 = 3*l - g*q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3782332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b + 2*b + 2*b)*(-1 - b**2 + 1) to x*b**3 + i*b**2 + c*b + d and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*o + 1. Suppose -o*k = -2*k - 8. Suppose -5*u - 45 = -5*f, 0*u - 2*u - 26 = -4*f. Solve -f*d - 8 = k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 3\/7, -0.6, 5, -1\/5 in descending order.\nAnswer: 5, 3\/7, -1\/5, -0.6, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6 = 2*w. Let x be (-36)\/(-10) + w\/(-15). Suppose 2*a - x = 2. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116874*s**2 - 116874*s**2 - 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 12*g**2 + 13*g - 14. Let u be b(11). Let f be ((-6)\/u)\/3*(-1)\/1. Determine n so that f*n**3 + 0*n + 0 - 1\/2*n**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**5*x**2 + 1480625*v**3*x**2 - 2*v*x**2 + 6*v*x + 8*v + 3902*x**2 + 3*x wrt v?\nAnswer: 60*v**3*x**2 + 8883750*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, q: 2, j: 4, p: 5}. What is prob of sequence pjp?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2057*v + 2046*v + 2761. Calculate the remainder when v is divided by 52.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -70*l**4 + 4*l**3 + 4*l**2 - 168. Let q(i) = -23*i**4 + i**3 + i**2 - 56. Let g(c) = 10*q(c) - 3*u(c). What is the third derivative of g(v) wrt v?\nAnswer: -480*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1937*t**2 - 10526*t**2 + 2520*t**2 - 6995*t**2 - 7774*t**2 to the form f*t + b + m*t**2 and give m.\nAnswer: -20838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10602364 - 0.00716.\nAnswer: 10602363.99284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (0 - -6) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -81040 (base 9) in base 12?\nAnswer: -26999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12875415.\nAnswer: 3, 5, 7, 47, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 27\/2 of a second?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*n - 5455693 + 5430241 for n.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*q + 18 + 108 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(0 + 1)*35. Let o = j - 47. Let m = -11 + o. What is the remainder when 23 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 231\/7774 - -6\/169. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 13 = 5*a, -4*s + 4*a - 7*a = -39. Suppose -s*g = -2*g. What is the units digit of g\/(0 - -3) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 464908 by -14.\nAnswer: -232454\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220579 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/4*-166*(210 - -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1335325408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 559 + -763. Let b = -199 - h. Let s = -8\/7 - -1. Sort s, 1, b, 2 in descending order.\nAnswer: b, 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7312, 7018, 6768, 6562, 6400?\nAnswer: 6282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q + 0 + 0)*(3*q**2 - 3*q**2 - q**2) - 2*q**2 - 3*q**3 + 2*q**2)*(2*q + 2*q - 3*q + 2)*(-6 + 2 + 2).\nAnswer: 8*q**4 + 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 96?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 210*a - 166 + 166 as z*a + n and give z.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/9))**(-26))**(4\/11) assuming m is positive.\nAnswer: m**(-208\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 963?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.062 + 68.062. Let y = -76.6 + n. Let d = y + 9. Which is the nearest to 0.3? (a) d (b) -2\/9 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712.802 * -0.14\nAnswer: 99.79228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 3. Is m(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 9 + 7. Let a(x) = -g + 0*x**3 - 18*x**2 + 2*x + 12*x**2 + x**3. Let l(n) = -n**2 - 1. Suppose -4*o + 6 = 2. What is o*a(s) - 6*l(s)?\nAnswer: s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1.88, 1\/6 in increasing order.\nAnswer: -2, -1.88, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 222 + -218. Which is the third smallest value? (a) g (b) 0.3 (c) 1\/4 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -189 - -61. Let h = 4.372 - 3.972. What is the third smallest value in q, h, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-2\/3)\/n))**2*n**2*n**8\/n*n)**(-35) assuming n is positive.\nAnswer: n**(-1610\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 3*i - 4*i)*(46 - i**3 + 3*i**3 - 3*i**3) + 2*i**4 + 12 + 9 - 7 in the form h*i**3 + b + z*i + y*i**4 + n*i**2 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u - 1. Let i(m) = 4*m - 1. Suppose 2*b = -2*q + 24, 5*q - 40 = 2*q - 5*b. Suppose 22*j - q = 24*j. What is j*i(h) + 3*t(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (198*(-161)\/(-8970) + 45\/(-39) + 1)*-5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.181 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2. Let d(c) be the second derivative of c**6\/180 + 19*c**3\/6 + 29*c. Let b(j) be the second derivative of d(j). Give o(b(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*v - 3112 = 0, v + 4244 = 3*b + 1131. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1085328 and 2772.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 21 = 3*c - 21, -5*c + 50 = 5*w. Suppose -1084 - 1154 = -w*u. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-11)*y\/(y\/y**(10\/13))*y)\/(y**(-3\/11)*y**(28\/9)))**27 assuming y is positive.\nAnswer: y**(-42738\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 40 = 20*q. Suppose -100 = 2*d - 4*d. What is the greatest common divisor of d and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 44. Let c = 173 - 174. Let w be 3*(-5)\/25*c. What is the nearest to 0 in m, -5\/6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.94 + 17.26. Let d = -1.2 + o. Let i = d + -17.99972. What is i rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1176\/(-16))\/(1 - 6\/4). Solve t + o = 150 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24861960\/81 - 16\/(-72) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353404 (base 7) in base 10?\nAnswer: 63655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.39 + 0.29. Let m = -0.7 - r. Let q be (60\/270)\/((-2)\/(-2)). Sort 5, q, m in increasing order.\nAnswer: q, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20933475 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2582464 is divided by 135862?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 1800.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*w + 18 = -0*w, -3*m + 5*w + 18 = 0. Solve -m*k + 16 = 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.9455 + -2.9455. Let u(l) = 3*l + 4. Let g be u(-3). What is the closest to -3\/2 in 3, g, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2180047, -2179663, -2179279, -2178895, -2178511?\nAnswer: -2178127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 - 4*b**2 - b. Suppose 42 = -14*w - 0. Let h(f) be the first derivative of -f**4\/2 + f**3 + f**2\/2 + 78. Calculate w*h(n) - 2*c(n).\nAnswer: 2*n**3 - n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 - (-78)\/24. Suppose 0 = -5*g + c*g. Suppose g*k + 3*k - 219 = 0. What are the prime factors of k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9469?\nAnswer: 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 4*u - 10. Let v be f(4). Let i(j) = -j**3 + 8*j**2 - 6*j + 5. Give i(v).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**2 + 2*s. Let t be q(-9). Let f be ((-12)\/9)\/(3\/t). Let l be 760\/30*(-6)\/(-4). Calculate the highest common factor of f and l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-2))\/(-96 - (-28956)\/304)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 3 + -3 + 6. Let b = 10 - j. Suppose 0 = g - b + 3. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -r + 6, -9*r = -4*v - 11*r - 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**4\/24 + 18*t**2 - 7. Let i(z) = -16*z + 4. Give i(g) - 20*v(g).\nAnswer: 4*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -527.1274 + 0.1274. Let f = v + 527.024. Put f, -0.3, 3\/4 in increasing order.\nAnswer: -0.3, f, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - s**2 - s. Let m(z) be the third derivative of -1\/6*z**3 + 5\/12*z**4 + 0 + 3*z**2 + 21*z. What is m(n(t))?\nAnswer: -10*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 333182 divided by -61\nAnswer: -5462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -301 divided by 1?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.042 and -115290778085.66.\nAnswer: -115290778085.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1436 and 2623213?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2337 times 0.75?\nAnswer: -0.175275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17237 or -17233?\nAnswer: -17237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 17 = 5*d + 2*t, -2*t + 5 = d. Solve 4*r = 7*r + d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1)*(-14)\/56. Which is the closest to 2? (a) -38 (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 2412, 3\/14 in decreasing order.\nAnswer: 2412, 3\/8, 3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t + 100 = 0. Suppose 4*k + k = t. Let o(l) = 3*l**2 + 64*l + 19. Let j be o(-21). Put 5, k, j in descending order.\nAnswer: 5, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 15*p = -20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 6*h - 1. Let y be d(6). Let a be (y - -2)*-1 - -1. Let s be (36\/15)\/(1\/5). Solve -3*g + a = s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -2 - (34\/4 - (-1241)\/(-146)). Let j be (-4)\/4 - (0 + 1). What is the nearest to j in 0.4, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352484 is divided by 259?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 82 - 46*h.\nAnswer: -46*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*z + 12 = 0, -2*x + 5*z = z + 8. Solve 5*s + x = 3*a, -4*a = -s - a - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(-1\/5)*s)\/s)*s**(1\/8))\/(s**(-3))**(16\/9))**(-3\/5) assuming s is positive.\nAnswer: s**(-799\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.50424513 - 0.00424323. Let j = 21.8 + -22.3. Let h = j + n. Round h to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 736048573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000052 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69891 is divided by 5800.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -7, 232, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 119626819?\nAnswer: 59813409.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1229 = -155*n - 4506 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*d + 16, -d + 4*z - 14 = -25. Suppose -9 = d*c - 3*i, 3*c + c = -2*i + 18. Solve 3*m = -c*k - 8, -4*k + 2*m - 7 = -23 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7)*x)\/(x*x**(-1\/2))*(x*x*(x*x*x**(-1)*x)\/x*x)**(-4) assuming x is positive.\nAnswer: x**(-213\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200083 is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 8. Let p = 72 + -80. Let i be a(p). Let c(f) = f**3 + f + 6. Let y be c(i). Solve -4*h = 4*t + y + 2, h - 3*t + 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1571619435.\nAnswer: 3, 5, 71, 383, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -8390673897001\nAnswer: -8390673897009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 a when three letters picked without replacement from {n: 13, w: 3, a: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8 - 5*m**2 + 0*m**2 + m**2 - 5. Let f(v) = 2*v**2 + 6. Let h(u) = 13*f(u) + 6*r(u). Suppose h(j) = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + i. Solve -3 = h - i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37220 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -485509.4802137 + 485226.4802. Let f = 283 + q. What is f rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31168433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 27. Let c be a(-8). Suppose c*j = -j. Solve 4*f + x = j, -5*f - 4 = -3*x + 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*r - 3*o - 6, -3*o = 4*r - 52. Suppose r*y - 21*y + 1560 = 0. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 + 0*u**2 - 2*u**2)*(3*u**3 - 2*u**3 + 29*u**3) + 3*u**3 + 2*u**5 - 3*u**3 + (3 - 3*u - 3)*(-u**4 - u**4 + u**4).\nAnswer: 125*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/3*g**3 - 4\/3*g - 2*g**2 = 0. What is g?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:04 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 1304.7.\nAnswer: 391.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -299, -288, -261, -212?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -134+-67.55514973\nAnswer: -201.55514973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from ymfwi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.1212547 to 0 decimal places.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 + 14*t + 15. Let p be z(-1). Suppose 5*r - 17*l = -15*l + 2193, p*l + 20 = 0. List the prime factors of r.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -147, -349, -551, -753, -955, -1157?\n\"Answer: -202*b + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109865 is divided by 398?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (10\/5)\/(-4)*-10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4660 (base 14) in base 4?\nAnswer: 2333030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 852 + 171*t**2 - 852.\nAnswer: 171*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -75, 3, -357 in decreasing order.\nAnswer: 5, 3, -3, -75, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**2 + 0*y**2 + 3*y**2)*(-257*y - 189*y + 361*y) in the form b*y + f + z*y**2 + k*y**3 and give k.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**2 - 24*s + 58. Give f(4).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2307, 10, -17 in decreasing order.\nAnswer: 2307, 10, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6659059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29169.76mm to kilometers.\nAnswer: 0.02916976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3504 is divided by 62678\/627 + (-6)\/(-171).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96691383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2.46923.\nAnswer: 0.53077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 75*t = 7626. Calculate the remainder when t is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-640)\/(-104) + -7 + 1 + 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + ((-3980)\/(-250) - 9)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.3 (b) -0.1 (c) -4 (d) -2\/7 (e) -37.3 (f) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -27\/2*o**2 - 12 - o. Let q(p) = 3*p**2. Determine q(h(c)).\nAnswer: 2187*c**2 + 162*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018765938 to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*z = -5483 + 1854 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(91)\/(sqrt(63)*-6) - (sqrt(91)\/sqrt(112) + (sqrt(156)\/sqrt(4))\/sqrt(3) + 2))**2.\nAnswer: 47*sqrt(13)\/6 + 40381\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 9019129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1632*-2.2\nAnswer: -3590.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 2448, -37, -0.5, 0.07, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 5. Suppose -t - 2*x = -4, t = 4*x + 1 + 3. Suppose -6*l - v = -7*l, -t*v - 24 = 2*l. Let j(s) = -2*s - 6. Determine l*m(i) + 3*j(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/((v**(-1\/4)\/v*v)\/v*v))\/v)**(1\/43)*((v*(v\/((v\/((v*(v\/v**(-2\/3))\/v)\/v))\/v)*v)\/v)\/v)**11)**45 assuming v is positive.\nAnswer: v**(142125\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8\/29461 + 144447395\/412454. Let a = l - 350. Is -1 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*m = -14, -2*m + 9 = -10*x + 11*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + q + 9 - 23)*(-q + 3*q - q)*(42*q**3 + 52*q**3 - 15*q**3).\nAnswer: 79*q**5 - 1185*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*2\/(-2) - 2. Let l = r - 0. Sort 10, l, 1.\nAnswer: l, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m = -1227100 + 352042. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*p - 57*p - 2168. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9218*z - 368653. Calculate k(40).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 9:26 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, j: 14}. What is prob of picking 4 u?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - g + 1. Let t(w) be the second derivative of -w**5\/20 - w**4\/6 + w**3\/3 + 2*w**2 - w + 906. Determine -2*f(j) + t(j).\nAnswer: -j**3 + 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46301*s**3 + 10*s**2 - 3521*s wrt s?\nAnswer: -277806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1997*t + 2000*t - 3994*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 30?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59114287?\nAnswer: 17, 797, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -7, 0.3, 1\/75, -101, 0?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vldwpwwlwwgpvpp. What is prob of picking 2 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 213207109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7979 + 47767\/6. Suppose -3*c = -g + 44, 0 = -4*g - 2*c - 3*c + 142. Find the common denominator of (g\/12)\/((-5)\/9) and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 divided by -49?\nAnswer: -92\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 r when three letters picked without replacement from bybbbbbyybbbry.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 108017 minus 994817174?\nAnswer: -994709157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggfd when four letters picked without replacement from ejeggegdoeofjej?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 33\/1)*(-9920)\/(-640)*(-8)\/(-124)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 12\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 40) + -8 + 23.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/15 and 145\/252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 124 in descending order.\nAnswer: 124, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60960 and 74340.\nAnswer: 75529440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2 + 88\/(-28) + 2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -38*m. Let d(i) = 3*i**2 - 92. Calculate d(o(l)).\nAnswer: 4332*l**2 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 329857414 to the power of 1\/3, to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -679*d**4 - 12*d**3 + 12*d**2 - 934. Let a(h) = -681*h**4 - 10*h**3 + 10*h**2 - 937. Let b(o) = -6*a(o) + 5*j(o). Differentiate b(t) wrt t.\nAnswer: 2764*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. Let i(l) = 233*l**2 + 18. Determine i(a(m)).\nAnswer: 233*m**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 98. Let h = r + 79. What is the lowest common multiple of 4 and 400\/h - (-2)\/(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4900 + -2934. Let y = z - 1024. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 30*s - 14. Let x be d(7). Suppose -4*j + x = -0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*3 + sqrt(20) + 1*sqrt(80) + sqrt(20))\/((sqrt(490) + -2*sqrt(490) + sqrt(490) + sqrt(490))*2).\nAnswer: 5*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 512902806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let q(m) = -m - 1. Let p be q(u). Which is the third smallest value? (a) p (b) 0.2 (c) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and -157?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/246 and 61\/820?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 6:44 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 417*b + 476. Let u be k(0). Calculate the greatest common divisor of u and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -434430 (base 5) in base 3?\nAnswer: -202120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/223776 and 89\/31968.\nAnswer: 223776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 2*l + 8*l**2. Let t(j) be the third derivative of j**4\/12 - j**2 + 11*j. Determine q(t(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9*t + 66 = 0. What is the highest common factor of 143 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -54, -0.4, 0.5, 1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 4}. Give prob of picking 2 x.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -1 - (-2)\/4. Let w = 130.6 - 343.7. Let q = 213 + w. Which is the closest to -1? (a) i (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 4*r + 7*k - 1, -2*r - 5 = -5*k. Let c(y) be the first derivative of 1\/3*y**3 + 0*y - 22 + r*y**2. Let p(d) = -d**2. Determine p(c(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*x**2 + 2\/5 + 4\/5*x.\nAnswer: 2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5415 (base 6) to base 3\nAnswer: -1200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/2 + 916207*n**2\/2 = 0. Calculate n.\nAnswer: -916207, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**4 - 120*q**3 - 40212*q**2 - 687832*q + 728160 = 0.\nAnswer: -74, -20, 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9815, 78938, 266669, 632312, 1235171, 2134550, 3389753, 5060084?\nAnswer: 7204847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3)**(-2\/3)\/(x**(-1)\/x*x*x**(-11)\/x) assuming x is positive.\nAnswer: x**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-131)\/(-6) - 16\/(-96). Solve -2*q - 4 = x + 9, 0 = 5*q - x + m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/4 and -22\/177?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*j**2 - 7*j + 10*j + 1 - j**2 to the form w + x*j**2 + s*j and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**5 - 21316*n**4 + 2291284*n**3 - 71401100*n**2 + 552835200*n - 1252224000 = 0.\nAnswer: -5435, 5, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 5*l**2 + 3*l**3 + 3*l**3 - 3*l**3 + 4*l. Let m(w) = 12*w**3 + 21*w**2 + 21*w. Determine 5*m(a) - 21*n(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/5))**(-4\/19))**(-16\/7) assuming z is positive.\nAnswer: z**(256\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.18 + -1.58. Let q = 72.6 - h. Let j = q - 57. Which is the third biggest value? (a) -3\/4 (b) j (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22154 and 3476.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/127?\nAnswer: -7\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 10444402344?\nAnswer: 10444402341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-15))\/((-360)\/675)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -35 (c) 0 (d) -2.245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - -4. Let t(r) = -141*r. Let w be t(1). Calculate the common denominator of 85\/12 and w\/l*(-4)\/(-14).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25551 + 25609. Solve -211 = -17*d - h for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5851837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 - 13*k + 13*k + 2*k**3.\nAnswer: 2*k**3 - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9926.588nm in centimeters?\nAnswer: 0.0009926588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(57) - sqrt(342)\/sqrt(6))\/sqrt(3) + 6*sqrt(95)\/sqrt(5) - (sqrt(190)\/sqrt(360) + (3*sqrt(19) + 4 - sqrt(19)))) + -2)*-5.\nAnswer: -115*sqrt(19)\/6 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*k + 5. Is 15 a factor of 0 - (k*30)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -17*u**5\/5 - 5*u - 13. What is the derivative of l(f) wrt f?\nAnswer: -68*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 9. Solve 25 = 5*c - 0*c - z*i, 5*c - 15 = 3*i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 263634 (base 7) to base 16\nAnswer: c0d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-30)*1)\/(33\/(-528))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 22060836 = 4*i. Let w = i + -2537018147\/230. Let h = 1950\/23 + w. Find the common denominator of 103\/56 and h.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by -218.\nAnswer: 78\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**3 - 2 + 5 + 17*v**3.\nAnswer: 2*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*m - 3*i, m + i - 6*i = 8. Calculate the lowest common multiple of m and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpkt when four letters picked without replacement from {p: 1, v: 3, t: 4, k: 2, y: 1, z: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-546)\/(-52) + 3 + -15)*(-4)\/(-6). Which is bigger: -23\/122 or o?\nAnswer: -23\/122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**6\/120 + x**5\/15 + 11*x**4\/24 - 5*x**3 - 2*x**2 - 4. Let v be t(5). Solve v = 3*i + 3*b, -4*b = -3 - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*r + 114*r - 49*r + 17*r - 39*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 11*v**2 + 14*v + 5. Determine g(6).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -18593304200 to the nearest 1000000.\nAnswer: -18593000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 177.4 - 161. Let h = c + -3.4. Let x = h - 12.7. Is x at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 2 (b) -141 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 0*r**2 + 0*r + 0*r**4 - 1\/5*r**5 + 2 + r**3. What is the third derivative of f(d) wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/24 - 2)*(-2)\/2. Let l = -27.4 + 33.4. Which is the third smallest value? (a) -3 (b) w (c) l (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -17\/5*f**2 + 2\/5 - 14\/5*f**3 - 1\/5*f = 0.\nAnswer: -1, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**19*x)**(-19)*(x\/x**(-5))**6 assuming x is positive.\nAnswer: x**340","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, -10, -7, -2?\n\"Answer: c**2 - 2*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**7\/735 + b**6\/210 - b**4\/42 - b**3\/21 + 4*b**2. Solve q(f) = 0 for f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l*l**(2\/43))\/l)*l)\/l)\/(l*l*l\/(((l*l**(-6)*l)\/l)\/l)*l)*l\/(l*l**(1\/6)*l)*l\/l**(-8)*l assuming l is positive.\nAnswer: l**(-313\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5528 and 163767?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*x + 2*h, 2*x - 2*h - 4 = 2. Let i = x + -4. Let v be (-1)\/(i + -1)*30. Solve 2*z - 7*z = -v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 899224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3. Suppose 0 = -j*v + 2*v. Let l = v + 14. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 271778 and 260?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*(-1)\/2*-1. Let h be (-8)\/(-12)*3\/(-7). Let i = -9 + 8. Which is the second smallest value? (a) i (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/10*(-585)\/(-78). Solve -s + l - 10 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(2 - 2*z - 2) - 3*z - z + 2*z - 1 - z + 1 + (-z + 2*z + z)*(-2 + 2 - 1) as b*z + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166795537.\nAnswer: 59, 2827043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5 = -0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Let n be (-8)\/(-6) + 4\/6. Let t(q) = 2*q**2 + 2. Let g be t(n). Solve g = 2*j, w*j - 40 = 5*p - j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21200201111 (base 3) to base 14\nAnswer: -3d285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62955 and 720?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k - 2. Suppose 36 = -30*z + 32*z + 3*q, 0 = 2*z + 2*q - 32. Calculate the least common multiple of z and c(-7).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h = -2*j + 37, 9 = h - j. Is (11 - 0)\/(h*3\/1353) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 228, 265, 320, 399?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 617 and 15?\nAnswer: 9255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 1. Let p(o) = 9*o + 7*o - 1 - 20*o - 3*o - o. Suppose 30 = -4*t - t. Calculate t*s(l) + p(l).\nAnswer: -2*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/7, 14, -0.3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*d = 135, 3*d + 12 = -d. Suppose 34*j - u*j = 1560. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**3 + 8*a**2 - 9*a + 3. Let i(g) = -8*g**3 + 9*g**2 - 12*g + 4. Let o(y) = 3*d(y) - 2*i(y). Suppose -9 - 6 = 3*r. Is o(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-6) + (-435)\/(-45). Let t(k) = -14*k**3 - 100*k**2 - 125*k - 39. Let v(u) = 3*u**3 + 20*u**2 + 25*u + 8. Let z(y) = c*v(y) + 2*t(y). Factor z(m).\nAnswer: 5*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1651 * 264141.\nAnswer: 436096791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/(-4))\/(-5)*-4. Let w(o) be the third derivative of o**6\/120 + o**5\/30 - o**4\/8 + o**3\/2 - 2*o**2. What is the units digit of w(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/11)*t\/(t\/t**18) assuming t is positive.\nAnswer: t**(197\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/25 + 8 + -7. What is d in 2\/5*d**2 + 16\/5*d**4 + 0 + g*d**3 + 0*d + 7\/5*d**5 = 0?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*y - 5300 = 8*y, 5*m + 6590 = 2*y. Let w = m - -1987. Calculate the remainder when w is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*o + 56. Suppose 3*y - o*p = -3*p + 271, 2*p = -10. Let x = -2 - -23. What is the remainder when y is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 1283 = 751. List the prime factors of c.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2217543484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1922064 is divided by 235?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 38. What is the units digit of 36*(12\/12 - p\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 759 - 765. Let g(w) = -3*w**2 - 7*w + 5. Let t(c) = 13*c**2 + 28*c - 21. Let a(u) = 9*g(u) + 2*t(u). What is the remainder when a(s) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1200311.0103 - -1200205. Let d = -106 - h. What is d rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1728 * 124235.\nAnswer: -214678080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6537850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 11:27 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - (-22 - -5 - -20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28471 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98771, 98772, 98773?\nAnswer: 98774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**14*h*h\/(h*h**(-12)*h))\/((h\/((h**17*h)\/h))\/(h\/(h**(-3\/10)\/h))))**(-20\/3) assuming h is positive.\nAnswer: h**(-886\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -3. Suppose 9 = -g*j + 24. Sort j, 1, 0 in descending order.\nAnswer: j, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1, -1\/5, -2, -15\/34?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*j - n + 6*n, 4 = 5*j - 3*n. Is (119\/(-14))\/(j\/6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 4*j + 4*g = 0, -2*j + 3 = 5*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 7*w - 9*w)*(-2*w + 2*w + 8*w) in the form p + l*w**2 + c*w and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-13)\/(-2))\/((-4)\/(-8)). Suppose -n + 96 = b. List the prime factors of n.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 >= -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -114 from 58501.42028.\nAnswer: 58615.42028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*h - 24*h = -655 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24135003 + 212?\nAnswer: -24134351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -110, 28, -43?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*j**3 - 6*j**4 - j + 6*j**2 - 73*j**3 - j**2 - 6*j**2 + 10*j**4 in the form v + b*j**3 + w*j**4 + g*j**2 + d*j and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 4*l**2 + 4*l - 18. Give i(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 680 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-24) + 2\/16. Let z be 4 + n\/((-1)\/(-5)). What is the smallest common multiple of (z\/2)\/(2 - 18\/8) and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2525.87 times -0.33\nAnswer: 833.5371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x - 7. Let n be p(5). Suppose 2*t + n = 4*u, 0*t + 3*u = -5*t - 44. Does 19 divide (-92)\/(-5) + (-6)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a - 1. Let b(h) = h + 3. Let v(c) = 6*b(c) + q(c). Suppose -3*x - 5 = 25. Let t be v(x). Calculate the greatest common divisor of t and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/4))**(-40) assuming v is positive.\nAnswer: v**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -56, 20, 3, 0 in ascending order.\nAnswer: -56, -1, 0, 1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37597*n + 113506.\nAnswer: -37597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 16*g**2 + 3*g + 24. What is the tens digit of n(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 + -15. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*(3 + 2 + 0 + sqrt(176) + 3))*3.\nAnswer: 63 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 347\/4. Factor 1\/2 - 3\/4*a + t*a**2.\nAnswer: (a - 2)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 23*d + 4 - 3*d - 3 as m*d**3 + l*d + b*d**2 + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4221122224 (base 5) to base 6.\nAnswer: 511551150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 7*g**2 - 6*g - 8. Suppose 40 = 5*d + 5*z, -d + 4*z = -3 + 5. Let p be k(d). Let c = p - -5. Let b(y) = y**3 + 2*y**2 - y - 1. Determine b(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2608 + -1516. Let n(i) = 3*i + 32. Let c be n(-9). Suppose 2*k - m = -k - 3*j, 1829 = c*k - 4*j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -29. Let l be (-15)\/f + 1 + (-25)\/(-4). Is (10444\/l)\/(16\/24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and -16977655.\nAnswer: 305597790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2. Let o(y) = 4*y + y - 5*y - 5*y. Calculate z(o(h)).\nAnswer: -75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -180, -410, -858, -1578, -2624, -4050?\n\"Answer: -9*t**3 - 55*t**2 - 2*t - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 59856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104*9\/8280 + 29\/(-145)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0. Let q = n - 0.2. Let z(o) = o**2 - 1. Let p be z(-1). Which is the nearest to q? (a) 2 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(252) + -4 + 1)**2 + 4 + (6*sqrt(63)*1 + -4)**2 + 1.\nAnswer: -186*sqrt(7) + 2641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18247 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21649872181 + -387229614058897\/17886. Let g = b + -1\/2981. Calculate the common denominator of -127\/6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*j**2 - 298*j**2 - 348*j**2 to i + g*j**2 + a*j and give g.\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.09052 - -4\nAnswer: 4.09052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**6\/360 + q**5\/60 + q**4\/24 - q**3 + 2. Let f(i) be the third derivative of t(i). What is the units digit of f(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3098*i**3 - 2*i**2 - 16657 wrt i?\nAnswer: 9294*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -166 (b) 5 (c) -343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -410 - -275. Let h be (m\/6)\/(2\/(-4)). Let l = 55 - 37. What is the highest common factor of h and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25473.7258 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 10. What is the closest to m in -0.5, 5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 + 2. Let u = -0.34 + 0.04. What is the smallest value in u, z, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2158.71 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/((sqrt(80)*-1 - sqrt(80) - sqrt(80))\/sqrt(10)) + 1 - (6*((sqrt(5)*3)**2 + sqrt(5)) - sqrt(125)*-3).\nAnswer: -269 - 64*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06958 (b) 69 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15721933651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4.671634 micrograms?\nAnswer: 0.000000004671634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -662497, -1326167, -1989837?\n\"Answer: -663670*c + 1173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3 - 3 + 4 + 0*c - c. Let b be j(-4). Suppose -3*d + 10 = -b. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 7. Let r be t(7). Suppose -5*a = -r*a + 5. Is a > 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -8 + 4. Suppose 0 = 3*q - q - 3*b + 3, 3*q + 5*b + 33 = 0. Let j be (q - -1)\/(0 + p). Solve 0 = r - j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217c (base 14) to base 3.\nAnswer: 21221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 24*x - 28*x - 56239 = 0, 4*x + 11251 = b. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 71 + -31?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1. Let d(k) = 4*k - 1. Let x be 4\/(-18) + 3 + 68\/(-18). Calculate x*d(c) + 2*z(c).\nAnswer: -4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3869, 7714, 11559?\nAnswer: 15404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47438, -47455, -47486, -47537, -47614?\nAnswer: -47723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156336 and 216?\nAnswer: 1407024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b + 5*p - 30, 10 = b + 5*p. Suppose -8*c = -4*c - b. Suppose 9 = -k - c*m - 5, 0 = 2*k + 5*m + 8. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -0.8. Let h = y - 0.3. Let l(i) = -36*i + 1435. Let z be l(40). Put z, 0.3, h in ascending order.\nAnswer: z, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*b - 5496 = -3*f, -5*b = 2*f + 10917. Let h = -65771\/12 - f. Find the common denominator of 35\/8 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 13. Let t = -3.6 - 0.4. Let f = t - u. What is the third biggest value in -0.5, f, -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13543403072080 + -13543403077762.0000005682. Let z = 5682 + c. Round z to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -200*d - 83*d**4 - 125*d**4 + 282*d + 19*d**4 wrt d.\nAnswer: -2268*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 10:02 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -19.42. Let n = -0.6 - g. Let v = n - 0.12. What is v rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 542 = c, 3*m - 3*c + 412 = -5*c. Let t = -1633\/12 - m. What is the second smallest value in 1\/7, -0.4, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*j + 30 = 103*j. Let a = 16 + -11. Solve -a*f = -0*f - j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102.93 + 20.\nAnswer: 122.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 4*k**2 - 6*k + 3. Give y(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/((-5)\/5490). Let t = g - 1151. Does 62 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g\/(g\/(g\/(g*g\/((g*g**(-11\/2)*g)\/g)))*g)))*(((g*(g\/(g**(-4\/3)*g))\/g*g*g*g)\/g)\/g)\/g)\/(g**(1\/7)*g)**(-2\/13) assuming g is positive.\nAnswer: g**(-2179\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*c**3 + 381*c**3 - 30*c**3.\nAnswer: 282*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 2. Calculate u(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13277 is divided by 1740?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjp. What is prob of picking 1 p and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*a**3 - 29*a**3 - 83*a**3.\nAnswer: -183*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*(31 + -25). Let t(l) be the first derivative of -p*l + 2 + 5\/2*l**2. Determine t(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 268689.\nAnswer: 16121.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -173*o - 5. Let a(m) = 176*m + 5. Give 6*a(f) + 5*c(f).\nAnswer: 191*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44.7922 - 0.0922. Let y = 44.83 - b. Which is smaller: 2.2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k + 2*k - 9*k**2. Let t(z) be the second derivative of 5*z**4\/4 - 95432*z. Calculate j(t(u)).\nAnswer: -2025*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 2*k + 11*k)*(-2*k**2 + 2*k**2 + 2*k**2 + (3*k - 6*k + 2*k)*(3*k + 3*k - 5*k)) to the form o*k**2 + u + n*k**3 + l*k and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2742 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 3*l**2 + 3*l. Suppose 3*t = -6*t + 81. Let i be 3\/t*9 + 28\/(-4). Let w be z(i). Solve -6 = -w*h + 7*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10196395.\nAnswer: 5, 11, 67, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, z: 1, f: 9, v: 1}. What is prob of picking 1 f and 1 v?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 280442059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -559 + -601. Let p = s - -1159.99197. What is p rounded to 4 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(208) + -4)**2.\nAnswer: -72*sqrt(13) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 2\/2)\/(-2). Let h = 4.95458 - -0.00342. Let n = 0.042 + h. Which is the nearest to 0.4? (a) 4 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (1 + (-2 - 1)). Let o = 2 + -3. Sort o, j, -2 in decreasing order.\nAnswer: j, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 687 - 673. Calculate the greatest common factor of h and 1442.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -100, -152?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0*c + 0*c**5 + 17\/8*c**4 + 0*c**3 - 75*c**2 + 19\/70*c**7 + 0*c**6 + 0. What is the second derivative of h(r) wrt r?\nAnswer: 684*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50492, -50497, -50512, -50543, -50596, -50677, -50792?\nAnswer: -50947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2. Let y(k) = -102178*k. What is y(b(a))?\nAnswer: 306534*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70161.11 millennia to decades.\nAnswer: 7016111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 8639096?\nAnswer: -8639100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-450)\/(-525)*168\/(-16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = 4*i + 28. Let y = 13 + i. Suppose 6*l + u = l + y, 0 = -3*l - 2*u + 43. What is the remainder when 24 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70861761 to the power of 1\/3, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -427.97 in -2, 1\/3, -12, 2\/3, 1\/8?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-9)\/q*q\/q**(2\/7) assuming q is positive.\nAnswer: q**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/7 + 2 - (-80)\/525\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 2500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -64.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2446 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 5. Let x = -3 + v. What is the nearest to x in 2\/5, 2, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 42526.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2917 in 1, -2, 2\/13, -4\/9, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:06 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*x, 3*x - 16 = -c - 0. Suppose l - 4 = -1. Solve 0 = -l*u - 4*m - 5, -4*u + m + 2 = -x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24865 + -24864.67. What is the closest to -2 in k, 0.2, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -80*y - 37. Is i(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 2\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 278729871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 1, y: 1, r: 1, f: 1}. What is prob of sequence ry?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1970*s - 20819 + 3999 = 1233 + 7557 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445926002*a + 445926002*a + 8*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 3*i - 2, -2*y + 3*i - 484 = -497 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 22223303121?\nAnswer: 22223303103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 29081.4, 0.4 in decreasing order.\nAnswer: 29081.4, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 2}. What is prob of sequence yr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 407.156 - 406. Let y = 1.05 - k. What is y rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*(v*v**(-7)*v)\/v*(v*v**(-2\/7)*v)**22)\/((v**(-2\/7))**(-6)\/(v\/v**(-1))**(4\/7)) assuming v is positive.\nAnswer: v**(211\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10824 and 1636238824.\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102636 and 756.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14790*w - 17 = 3*c - 14791*w, -4*w = -8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1621, 3205, 4789, 6373, 7957?\n\"Answer: 1584*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11148 and 2616?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 44 = -3*u - 14, -5*u = -4*q - 37. What is the second derivative of -8*v**3 - u*v + 14*v - 14*v wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 4, i: 7, y: 2}. Give prob of sequence yy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6036251 to the power of 1\/2, to the nearest integer?\nAnswer: 2457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((4 + sqrt(1377))**2 + 3)*-5 + (2 + -1 + sqrt(1377))**2 + sqrt(1377)*-6*-5.\nAnswer: -5607 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b**3 - 4*b**2 - 4*b + 7. Suppose -3*p + 0*p = 3*k, 4*p + k = -15. Is x(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0 - (10 + -28 + 4 + 10 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**2*d*j**3*w**2 - 758*b**2*d*j*w**2 - 2*b**2*j**2*w + 2*b*w**2 - 1422*d*j**3*w wrt j.\nAnswer: 6*b**2*d*w**2 - 8532*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*t + 25568, 0 = 2*b - 282*t + 283*t - 25553. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2216 (b) -2 (c) -877\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36315 (base 9) to base 3.\nAnswer: -1020100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.2 - -12. Let p = 1.2 - s. What is p rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -2\/15 (b) 1.7 (c) 6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0847624 weeks in milliseconds?\nAnswer: 51264299.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1681032 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 853 - -3961. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211 - -135. Let u = -71 - l. Solve 5*g - 3*s = -s - u, -3*s = -2*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 355188294 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165670 by -33.\nAnswer: 165670\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2*(12\/(-3))\/12*1\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 2, -0.003 in ascending order.\nAnswer: -31, -0.003, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1598\/1985 + -2\/397. Factor -2\/5*j**3 + 2\/5*j - z*j**2 + 4\/5.\nAnswer: -2*(j - 1)*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-eight fifths of a kilometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggggddgddgg. What is prob of picking 2 d?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -1, 4, -5\/37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 0*s**2 + 0*s**4 + 0*s**3 - 3\/5*s**5 - 4*s - 2. Differentiate z(i) with respect to i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 19. Let n(b) = b + 17. What is -4*c(j) - 6*n(j)?\nAnswer: 2*j - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -129305714 and -4224.\nAnswer: -129309938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 118455 = -21673. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 13.85. Let f = o - -0.25. Let v = 0.4000004 - f. What is v rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11 + ((-3)\/(-1) - 0). Let i(f) be the second derivative of f**4\/4 + 5*f**3\/6 - 7*f**2\/2 - 3*f - 1. Is i(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459193?\nAnswer: 7, 65599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 26*j - 10. Let u(o) = o**2 + 25*o + 8. Let p(l) = -4*b(l) - 5*u(l). Let k(w) = 14*w**2. Determine k(p(t)).\nAnswer: 14*t**4 + 588*t**3 + 6174*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 2)*((-6)\/(-12))\/((-65)\/(-312))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31145456*c**4*j - 4*c**3*j**2 - c**2*j + 295*c**2 - 24*c*j**2 + 32*c*j - 11*c - 2*j**2 wrt c.\nAnswer: 747490944*c*j - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 + 195843*m**3 - 274 - 4*m**2 - 195839*m**3 - 2*m to the form o + u*m**3 + a*m + p*m**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10121\/359 bigger than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 13.6. Let n = 2 + g. Sort -4, 1, n, -1\/4 in descending order.\nAnswer: 1, n, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21860, -22, 25.\nAnswer: -21860, -22, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Let f(j) = -j + 18. Let t be f(0). Suppose -3*m - 23 = -k, w*k = 5*m + t + 35. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 363 - -12. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4790, 132 in descending order.\nAnswer: 132, -3, -4790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2225381640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5404522 (base 7) in base 12?\nAnswer: 27832a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f**3 + 10*f**2 + 5*f. Let s(x) = x**3 + 3*x**2 + 1. Let l(t) = 5*s(t) - w(t). Let g(v) = -10*v**3 + 14*v**2 - 16*v + 16. What is 5*g(q) - 16*l(q)?\nAnswer: -2*q**3 - 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Let g = -4 - -9. Let v(o) = -o + 5. Let x be v(g). Solve 6 = 4*l + 5*k - 2, x = a*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -3\/662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 5*x**2 + 13*x - 3. Let y be s(-7). Suppose -3*n - 4 = -2*i, y*i = -4*n + 2*i + 18. Solve 0 = -c + n*b + 3, -3 = -b + 2*b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*l + 286*l - 1978*l**3 - 222*l**2 + 1975*l**3 + 222*l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + -2*sqrt(176))*2.\nAnswer: 12 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29483 is divided by 13894.\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -2*q**3\/3 - q**2\/2 + 6*q. What is h(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 185 (b) 2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13711568 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 - 37 + 3*v**4 + v**2 + (-2 + v + 2)*(4*v**2 + v**3 - 4*v**2).\nAnswer: 4*v**4 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksks when four letters picked without replacement from kkkksksskskkskkksk?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + 4*j - 2. Let f(v) = -v**2 + 2*v - 1. Let h(n) = 6*f(n) - 3*m(n). Let q(u) = 13*u**2. Calculate h(q(y)).\nAnswer: 507*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + 1)\/2*(-14220)\/(-135). Let w = 612 + n. Does 74 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47073.3 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:42 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 9 = -1. What is the remainder when 23 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -25 (b) -1 (c) 94 (d) 45\/2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-87 - -80) + 16 - (-1 + 1 - 86)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -138006868 divided by 134\nAnswer: -1029902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45, 124, 213, 312, 421, 540, 669?\n\"Answer: 5*s**2 + 64*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + 1 + 2)**2*-3.\nAnswer: -177 - 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -898920 divided by -8172.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*d - 5. Suppose 15 = 2*f - f + d*v, -f = -2*v + 10. Factor f - 1\/2*p + 1\/2*p**2.\nAnswer: p*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1189 * -229.\nAnswer: -272281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 31. Which is the closest to 2? (a) 2\/13 (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*t + 8*t = 50, 2*t - 25 = 13*j - 8*j - 5*t + 45 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73579992 to the nearest integer?\nAnswer: 8578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4055, 8119, 12187, 16259, 20335?\n\"Answer: 2*y**2 + 4058*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1904, 7694, 17332, 30818, 48152, 69334, 94364?\nAnswer: 123242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7951 + -6.7951. What is the third smallest value in 0, 0.4, -0.9, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 448, 15, -31, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 0*h**2 - 9 + h**3 - h**2 + 2*h**2 + 0*h**2. Calculate v(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**5\/120 + 7*a**3\/6 + a. Let q(d) be the second derivative of z(d). Let i(y) = -y. Give q(i(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 11. Suppose -s*i + 962 = -7*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-3) + (-1 - 0). Let w(a) = 1 - 2*a + 4*a**2 - a - 5*a**q + a. Let n(s) = s + 9. Let k be n(-7). Calculate w(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6) - ((-1189)\/246 - -5)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 427977 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63967097.\nAnswer: 479, 133543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 2*x - 88. Is (x - 24\/(0 + -3)) + 624 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 111960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*p**2 + 547*p + 22*p**3 - 548*p - 27*p**3.\nAnswer: -5*p**3 + 178*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 457*i + 4 + 1 - 1 + 117*i. Let a be b(4). What is a rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2898 and 1886?\nAnswer: 118818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -439 - 441 + j + 20*j**2 + 880 to o + b*j**2 + m*j and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -315, -370, -427, -486, -547, -610?\n\"Answer: -p**2 - 52*p - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326216 is divided by 46531.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**4*q + m**4 + 1467*m**3*p*q - m**3 + 3*m**2*p*q - 464*m**2 - m*p*q wrt m.\nAnswer: 24*m*q + 24*m + 8802*p*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 - 12*r + 15 - r - 101*r**3 + 102*r**3 in the form s*r + b*r**3 + y + j*r**4 + n*r**2 and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 113. Solve -3*t + 8 = q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 44 - 989*d**3 + 11405*d**2 - 403*d + 205*d**3 - 2893*d**2 + 1369*d + 262*d = 0.\nAnswer: -1\/14, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20219 + 1880 = 128*o - 142765. Does 92 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 6 = b. Suppose -5*t + 3*t + 4 = 0. Suppose -5*m = 4*w - 16, -w + t + 2 = -m. Solve b*k + 8 = -2*z, -2*k - k - z - 7 = m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*n - 3*z, -5*n + 2*z + 14 = 6*z. Suppose 4*b = -5*u + 11, 0 = 3*b + n*u + 1 - 11. Suppose -68 = -b*a + 56. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 + 2*s**2 - 3*s**2)*(-49*s - 16*s - 19*s) as p + z*s**2 + m*s + b*s**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 4*l**2 + l - 2. Suppose -2*c - 3 - 7 = 4*d, -3*c - 4*d - 9 = 0. Let o be 39 + (4 - (4 + c - 1)). Suppose o = 4*p + 27. Determine t(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.408 to one dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 216, 46, 0, -5 in descending order.\nAnswer: 216, 46, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*w**3 - 623*w**2 + 11566*w?\nAnswer: -48*w - 1246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/2 + 23277*b\/2.\nAnswer: 3*b*(b + 7759)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.3 (b) 3 (c) 18\/5 (d) 5 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -123\/247, -5, -3, 2\/5, -0.01, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -24\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 99. Let t be (2 - (-1935)\/35) + n\/(-14). Calculate the greatest common divisor of t and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 11*c = 48 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 7*x**6\/120 - 7*x**5\/30 - 5*x**4\/4 + 3*x**3\/2 - 4*x**2 + 15*x. What is the second derivative of q(a) wrt a?\nAnswer: 42*a - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.495 - 15.625. Let p = -16.99 + -0.01. Let g = p - w. Round g to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4277364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*q + 192*q - 1 - 87*q + 1.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10*s + 4 + 0*s - 2 + 6*s. What is the units digit of b(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 4*i - 3. Let b be y(5). Let p(r) = -6*r**2 + 4 - r**b + 0*r**3 + 2 - r**3. What is the units digit of p(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 13666.\nAnswer: 95662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*m = 2*c + 16, -4*m + 18 = -2*c. Solve -3*r = -2*g + 17, 0 = -0*r + m*r + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -s + 121, -2*s + 0*g + 202 = -2*g. What is the remainder when s is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, -23, -83?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m + 4*m + 10*m + 7*m**3 - 2*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 631*a - 68173. Calculate l(-94).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l**3 - 24*l**2 - 24. Let t be 3\/7 - (-3591)\/(-147). Let x(r) = -r**2 - 1. Determine t*x(s) + p(s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7790 - 1701?\nAnswer: -9391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 8 = 5*j. Suppose 4*n = 2*n + j. Let y = 17\/3 - n. What is the third smallest value in 4, 1, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -6 + -1 + 45 + -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2835 (base 10) to base 2.\nAnswer: 101100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4594189 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 346, 538, 746, 976, 1234?\nAnswer: 1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k**2 + k - 6 + 8*k - 3*k - k**3 - 4*k**2. Suppose -5*x + 5*y = -13 - 7, -5*x + 2*y + 20 = 0. Calculate the smallest common multiple of 4 and d(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zztsszzzsszztz. What is prob of picking 1 t and 1 z?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -35*q**4\/24 - 53*q**3 + 838*q**2. Determine a(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*1\/(2\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 2*r - 14. Let i(f) be the second derivative of f**4\/12 + f**3\/6 - 69*f - 2. Give -3*i(h) - v(h).\nAnswer: -2*h**2 - h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/184 + (-40654)\/16. Let u = m + 8158. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5710 = 4*f + 46666. Let t be (3 + 6)*(-2)\/f. Let h = t + 191074\/30717. What is the common denominator of -65\/6 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13216)\/(-82954) - (72\/(-38) + 2). Which is the nearest to p? (a) -35 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xenxjxxjx. Give prob of picking 3 x and 1 e.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (1936\/11)\/22\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -31, -33, -35?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -331 (base 6) to base 2\nAnswer: -1111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Let x = -2 + -7. Let l = s + x. Which is the third biggest value? (a) l (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 77452, 0, -2\/5, -6, 5, 0.4, -0.2?\nAnswer: 77452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and -16.6151.\nAnswer: -764.2946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-4\/3)\/x)*x*x\/(x*x\/x**(-1))*((x**(-1\/2)\/x)\/x)\/x**4)**(-5\/19) assuming x is positive.\nAnswer: x**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27\/2 + 16. Solve v**3 - v + d*v**4 + 0 - 5\/2*v**2 = 0 for v.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 7:43 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*a - 1681, 3*o + a - 999 = -a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -7)*(1 + (-3)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.855, -543, 0.5 in descending order.\nAnswer: 1.855, 0.5, -543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2 - (4 - (3 - 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-3))\/(2\/15). Let b(l) = 0 + l - 4*l + 4 + 4*l. Give b(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (5 - 0) - 4 - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3228*l**2 - 8*l - 96767?\nAnswer: 6456*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 19.\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14375*p + 14375*p - 4*p**2 + 4*p**2 - 1008*p**3 + 960 wrt p.\nAnswer: -3024*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 + 126 = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a**(-2\/11)*a))*a)\/a**(-1\/4))\/((a\/(a*a*a**(-22)*a))\/a*a**(-9)\/a))**(3\/29) assuming a is positive.\nAnswer: a**(-915\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2400 - 71*r - 2405 - 27*r + 4805 to the form h*r + k and give h.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3072263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15 + -5 + (2 - 5). Let f(r) = 13*r + 3. Let y(b) = -9*b - 2. Calculate q*y(j) + 5*f(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 18 = 4*k - 38, -q = -3*k + 44. Solve 2*c = -c + k, 0 = 4*t + 3*c + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 10:15 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -11*o**2 - 1242*o + 2. Let m(g) = 5*g**2 - g. Calculate 2*m(h) + u(h).\nAnswer: -h**2 - 1244*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2491 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*r - 47 + 47 + 2*r + 0 + 0 + (0 - 2 + 3)*(r - 3*r + 0*r) - r - 2 + 2 + r + 2*r - r)*(-66 - 4 + 10) to o*r + s and give o.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 133?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 - 6*a**4 + 17*a**4 + (0*a**4 - 3*a**4 - 2*a**4)*(-2 + 0 + 0) + (0*a + 0*a + a)*(-4*a**3 - 2*a**3 + 5*a**3) - 3*a**2 + 3*a**2 - 2*a**4.\nAnswer: 15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/42*2\/(-10)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -8 + 2*j + 3 - 34 - j. What is the smallest common multiple of d(41) and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 22 - 6 = 4*u, 4*m = -u - 2 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1770 or 1\/6?\nAnswer: 1770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799993331?\nAnswer: 59, 113, 119993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tonnxtnxwwwnonnwnnnw. What is prob of sequence nox?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2962 + -3019. Sort 4, -1, q in descending order.\nAnswer: 4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 75 = -20*j. Solve 2*r - 5*r = -j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*m - 83*m + 3945 = 0. Let h be 6*-1*(-4)\/6. Solve 0 = -5*v - 2*k + 10, -h*v - v - 3*k = -m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/66 and 95\/40296.\nAnswer: 443256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Suppose 2*b - h = 5*b. Put 4, b, -4 in ascending order.\nAnswer: -4, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.544 + 32.444. What is the fourth smallest value in 3, -0.5, x, -416?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-3)*948\/316?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-633*(-8)\/1008 - 5)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 129.85, 0.2, -3 in ascending order.\nAnswer: -3, 0.2, 129.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9959 and 192487.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*z**4 - 23\/3*z**3 + 0 + 560\/3*z + 32\/3*z**2 = 0.\nAnswer: -4, 0, 7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/119 + 424\/14. Let v be h\/(-5)*(-3)\/6. What is the biggest value in 2\/9, -1.6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 15\/4, 5, 11, 4?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 19. Factor t*l**2 + 8 + 35*l + 3 - 6.\nAnswer: 5*(l + 1)*(6*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-147))\/(3\/(-14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -4 (c) 0.379 (d) 0 (e) -4\/7 (f) 6\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185591715 to the nearest integer?\nAnswer: 13623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -3\/2, 3\/2, -44, -22, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 9:11 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + (-33)\/(-3) + 4. Let g be (-18 + a\/2)*-2. Suppose 27*y - g*y = 16. Calculate the highest common factor of y and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3.2 (b) -3\/8 (c) 6 (d) 3 (e) 146\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + 0.1. Let s = -5.5 + l. Let y = 4.8 + s. Round y to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41640900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-30 - (-37 + -13)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/70)\/(2\/(-16)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 23*p**2 + 0*p + 0*p**3 - 1\/12*p**4 + 0. Let y(x) = 21*x**2. Give y(j(d)).\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 0. Let p = 0.3 + f. Let u(v) = -39*v - 278. Let w be u(-7). Which is bigger: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s + 233*s**2 + 1221*s**2 + 10*s.\nAnswer: 1454*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from lllcclccclllll.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 26, -0.3, -1132, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022 a factor of 122894044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 7*v - 3. Calculate the remainder when (-22)\/(-7) + -3 + 332\/28 is divided by i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -11 - (7 + (-4 - 0) + -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 + -1 + 2 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 22*i**2 - 43*i + 62. Let m be u(20). Let d be (-4)\/14 + 32\/14. Let t(o) = 4*o**m - 1 + 2 + d*o**2. Calculate t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 minus 770285.5?\nAnswer: -770306.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*0\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -30, -40, -48?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c + 12. What is the units digit of s(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33001401 a multiple of 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spi when three letters picked without replacement from {i: 1, p: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41974 + -21340. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (1 + 2)) + 2. Is (1 - m)\/(2\/94) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 2 = 14*n + z, -10 = 2*n + z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1391*v + 1396*v - 160. Suppose -v = 6*b - 86. Solve -3 = 6*t + b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8037 is divided by 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*n - 28*n - 128930. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 593059975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/352 and 41\/208.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 186741*h - 373473*h + 186733*h. Let a(z) = z - 10*z - 5*z. Give a(v(p)).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -5, 1775828 in descending order.\nAnswer: 1775828, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 54*c - 25*c - 19*c - 11*c - 5.\nAnswer: -16*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*-18483.601\nAnswer: 73934.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 68563.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 1:14 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 7*d**4\/3 + 17*d**3\/6 + 12*d. Find the second derivative of r(y) wrt y.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(351\/(-72))*(-9)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -7. Suppose 17*j - 64 = k*j. Solve 22 = 5*m + p, -3*m + 2*p + 0 + j = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1161 + -1157.923. Round v to 1 decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 18 = 2*v - 2, -2*b + 3*v + 11 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13287 is divided by 215?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -30c4dc?\nAnswer: 30c4d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72722857*d**2*f**3 - 7*d*f**2 + 6478043*f**3 wrt d?\nAnswer: 145445714*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-6\/5)*m*m*(m*m**7*m)\/m*m*m)\/((m*m**(2\/5))\/(m\/m**(-7\/5)*m)))**(-11\/4) assuming m is positive.\nAnswer: m**(-891\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -6) + -8 + 4 + 23 + (44 - 42).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x**2 + 2*x**4 + 7*x**4 + 0*x**2 + 2*x**3 + 1 - 3*x**3 - 2*x**4 in the form m*x**2 + l*x**3 + s*x + v*x**4 + y and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -597 (base 10) to base 11.\nAnswer: -4a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -60 + 57 + (-4 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0121 (b) 3 (c) 108\/707\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60981?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 73*r**4 + 56*r - 116*r + 59*r + 8*r**4 + 4 to n*r + m*r**2 + s*r**4 + i + x*r**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -8212 > -8214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 294393 + 147201 + 147192.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1101)\/(-27) + (-6)\/(-27). Suppose 0 = -4*o + 17 - p. Is (-231)\/(-2)*(-4)\/o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 2*o - 10 + 8 + 5*o.\nAnswer: 3*o + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/180*(-6)\/4)\/(1\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.436677369 minus -0.67?\nAnswer: -0.766677369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**5 - 5*p**4 - 30*p**3.\nAnswer: 5*p**3*(p - 3)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 2*i + 1. Let q be g(-1). Which is bigger: 2\/35 or q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k**2 + 19*k - 2. Let d(x) = -8*x**3 - 78*x**2 + 22*x + 13. Let b be d(-10). Let l(v) = 8*v**2 - 20*v + 2. Determine b*f(g) - 6*l(g).\nAnswer: g**2 - 13*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*j - 184, 2*s - 4*j - j = 126. Let d = -19 + s. Let k = 53 - d. Calculate the lowest common multiple of k and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00343531 to 5 decimal places.\nAnswer: -0.00344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1281151.35s to days.\nAnswer: 14.828140625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = 5*j - 117 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2 - -2) + -1)*1. Let d = m - -2. Let w be (-13)\/52 + 18\/8 + 0. What is the nearest to d in w, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23476*z - 3*z**3 + 23476*z.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 24*j + 68 - 68 to y*j + w and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 - 11*w - 1. Let p(o) = -o**2 - 10*o. Let k(b) = -3*p(b) + 2*s(b). Is 5 a factor of k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013 + -11020110?\nAnswer: -11021123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*(-6)\/12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -360, -719, -1080, -1443, -1808, -2175?\n\"Answer: -l**2 - 356*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 456349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.5, 5, -3, -0.56?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4086102 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15743970 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 23 + 3 = -4*g, -5*h + 10 = 2*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 303057778 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**3\/3 + a + 22. Let m(b) = -156*b**2 + 155*b**2 - 1 - 1. What is -6*c(r) - 3*m(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 6*m**2 + m - 5. Let g be d(6). Let o be (-1)\/g + (-13)\/(-1). What is the units digit of 3*-3*(-44)\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*z + 31. Solve -b + z = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m = 18*m + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 108? (a) -3 (b) 0.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*z + 3*z - 1, 37 = 5*b - 4*z. What is the first derivative of -h**2 - 4*h**3 + 61 - 12*h**2 - h**3 + b*h**2 wrt h?\nAnswer: -15*h**2 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 2) + 3 + 57051\/45. Let p = w - 1263. Which is greater: 8 or p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 + -0.7. Let z = 25 + -24.83. Let w = z - 0.26. What is the smallest value in t, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -52.9. Which is the third biggest value? (a) -1 (b) d (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2 + 83692*o - 33476 = 0 for o.\nAnswer: 2\/5, 16738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1 (b) 0 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1318+-261.1774529\nAnswer: 1056.8225471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01629 to four dps.\nAnswer: 0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f = -80. Calculate the greatest common divisor of f and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-12 - (-14 + -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1993 - 16118 = 1150*m + 2161*m + 14999 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 489*o - 990.\nAnswer: 3*(o - 165)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, f: 12}. What is prob of sequence dff?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -525, -1045, -1565, -2085, -2605?\n\"Answer: -520*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4967 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**3 + 46*q**2 + 20*q - 12. Let p be n(-11). Let x(r) = 46*r**2 - 17*r + 12. Is x(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286219637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**3 + 19*v**3 - 32*v**3 + 7*v**3 - 2*v**3 - 3*v**2 + 90*v = 0 for v.\nAnswer: -6, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n**2 + 16*n + 5. Let i(z) = -z**2 + 6*z + 2. Let l(a) = -2*a**2 + 9*a + 3. Let w(c) = 8*i(c) - 5*l(c). What is 2*j(o) - 11*w(o)?\nAnswer: -2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*d - 22, -26*d + 6 = -4*r - 29*d. Let l(h) = 50*h**2 + 61*h + 1. What is the hundreds digit of l(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 157*d**3 - 4*d**2 + d - 2358. Let n(l) = 318*l**3 - 7*l**2 + l - 4716. Let i(t) = 7*m(t) - 4*n(t). Differentiate i(q) wrt q.\nAnswer: -519*q**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3\/7))**46 assuming s is positive.\nAnswer: s**(460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*c - 20*c + 56*c + 5*c**2 wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 3*p + 2. Let f be x(4). Let r(y) = 2*y**2 + y - 2. Let i be r(f). Solve -8*h + 10 = -3*h + 3*o, 0 = -4*h + i*o - 24 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*m**2 - 470*m + 470*m)*(-2*m**2 - 2*m**2 + m**2) + 4*m**4 - 2*m**4 - 3*m**4 in the form o*m**3 + w + u*m**4 + c*m + r*m**2 and give u.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2\/j**(-3\/4))\/(j**(-1)*j)**11)**27 assuming j is positive.\nAnswer: j**(297\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20683109?\nAnswer: 263, 78643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 1:08 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77610524.094886 less than -0.5?\nAnswer: -77610524.594886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 385*i - 6266. What is r(16)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -17*i - 6. Let y(w) = -3*w + 1. Determine -3*y(h) + z(h).\nAnswer: -8*h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5675b7a - -3?\nAnswer: 5675b7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 94, -3, -94, 2 in descending order.\nAnswer: 94, 2, -3, -5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*t = -2*x - 159*t + 4, 4*x = -t - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - v + 20. Let t be q(0). Let l be t*((-70)\/(-21))\/(2\/(-3)). Let x = -30 - l. Is 27 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.155 - -0.155. What is the smallest value in -7, q, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79711.3*-2\nAnswer: -159422.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*w**2 + 4816*w - 38740?\nAnswer: -18*w + 4816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -200*l**3\/3 + 4763. Let y(p) = -9*p**2. Calculate f(y(d)).\nAnswer: -16200*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and 15.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 15. Let r = -0.03 - 0.57. Let g = r - -0.2. What is the third biggest value in g, 0.2, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2. Let g(w) = 37*w**2 + 128*w. Give g(j(r)).\nAnswer: 333*r**4 + 384*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8580\/(-1001)*3\/15.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**3 + 5*y**2 - 3*y + 24. Let t be q(-5). Which is smaller: -212 or t?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y**2 + y - 2. Suppose w + 5*x - 14 = -3, -4*w = 3*x - 27. Let j(v) = -v + 8 + 5*v**2 - 7*v - 4*v**2 + 4. Let s be j(w). Give z(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 + u - 5*u + 68*u**2 + 4*u.\nAnswer: 75*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**4\/24 - a**2 - 4*a + 21. Let d(c) be the second derivative of l(c). What is d(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112.84 - 112.55. Is 106 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 less than 8892544973.12?\nAnswer: 8892545158.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 18 - 2. Let z be 22\/8 + (-2)\/(-8). Suppose -2*l + 247 = z*l + 2*c, w*l + 4*c = 200. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.5 - -0.5. Let f = -207 - -151. Let d be 6\/4 - (-91)\/f. Sort 2\/9, 1, d, r in descending order.\nAnswer: r, 1, 2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k**(-7\/4)*k)\/k))\/k)**(-11\/3)*(k\/((k**(-26)\/k)\/k))\/(k\/((k*k\/(k*k**3)*k*k*k)\/k)))**(-42) assuming k is positive.\nAnswer: k**(-1813\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + v**2 + 2*v - 1. Let r be ((-12)\/(-18))\/((-2)\/(-9)) + -2. Let b be q(r). Calculate the common denominator of -1*(-77)\/5*2\/b and -62\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -63*s**3 - 5*s**2 + 65*s - 5. Let p(i) = 31*i**3 + 2*i**2 - 32*i + 2. Let f(b) = -2*c(b) - 5*p(b). Find the second derivative of f(h) wrt h.\nAnswer: -174*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (3 + 2)) + -2 - -15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 - -211. What is b rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -1\/101, -143, 3\/8 in increasing order.\nAnswer: -143, -6, -4, -1\/101, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + f - 79 = 2*h, h = f + 44. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n = -72. Suppose 0 = -2*l - 4*l + n. Let s be l*(-6)\/18*(-12)\/(-3). Sort -6\/7, s, -1 in decreasing order.\nAnswer: -6\/7, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -211305891312131?\nAnswer: 211305891312130.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28940 and -2.\nAnswer: 28938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) 0.2 (c) -0.2 (d) 54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 464 - 434. Suppose 5*x - 10*x + o = 0. Calculate the highest common factor of x and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 569 - 583?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 9:17 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73.89 + 73.9. Which is the second biggest value? (a) 3\/4 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -l. What is the third derivative of 3*n**2 + l*n - 2*n + n**4 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**8\/336 + 292*y**7\/35 + y**6\/60 - 2552*y**5\/15 + 108*y**2 - 25*y. What is the third derivative of w(n) wrt n?\nAnswer: -60*n**2 + 42048*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-737)\/(-7) + 16\/(-56). Calculate the highest common factor of 42 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((170\/(-50))\/(-17))\/(-9 + (-730)\/(-80))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q + 20 = -18*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 119, 232, 353, 488, 643?\n\"Answer: m**3 - 2*m**2 + 112*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(7 - 4) + 0. Suppose a*k - 215 = 25. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 19. Let h be (100\/(-15))\/s - -3. Which is the second biggest value? (a) -2\/3 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12535*j**3 + 12537*j**3 + 0 + 0.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 76, 126, 188, 268, 372?\n\"Answer: p**3 + 43*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 431132 and 0.1.\nAnswer: 431132.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -0.1972.\nAnswer: 1.1832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*d - 115*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.08 (b) -136 (c) -0.4 (d) 0.5 (e) -1\/7 (f) 1\/30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2 - 5*b**2 - 2 + 1 + 2 + b**3 + 3*b. Calculate m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1716 - 196. Is 40 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8 = 4*m. Let n be (5\/(20\/m))\/(-5). Let z = 68 + -614\/9. Sort z, n, 0.5 in increasing order.\nAnswer: n, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*4*sqrt(80)*6*4 + -5)**2.\nAnswer: 23040*sqrt(5) + 26542105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = j + 3*w - 13, -w = 5*j - 89. Let t be 1 + (j + -1 - 2). Is -3 + 0 + t + -2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2363571089244 - -28\nAnswer: 28.2363571089244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 13. Let f = 4 + g. Let k = 937 - 937.1. What is the nearest to k in f, 0.04, -2\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*x - 37*x - 77*x.\nAnswer: -158*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 6. Let u = b + -3. What is the remainder when 25 is divided by -1 + 9 + u\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/70)\/1)\/(620\/(-2170))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 3*p**2 + 6*p - 13. Let j be m(4). Put j, 1, -8 in decreasing order.\nAnswer: 1, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i + 10. Let n(o) = o. Give g(n(s)).\nAnswer: 4*s + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/211129517?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 + 621*h**2 - 2520*h + 2532 = 0. What is h?\nAnswer: -211, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 3620?\nAnswer: 3621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {x: 3, p: 1, l: 3, a: 6, u: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 10. Let z be k(-7). Let f(j) = 3 + 1 + j - 2. List the prime factors of f(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*q + 24*q - 30 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 6 = 3*c. Suppose 0 = -0*x + 2*x + 5*m - 345, -4*x + 635 = -m. Is c\/9 + x\/72 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -25, -0.1, -0.52, -0.062?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/12*(7 - -29)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -322500 + 322500. Suppose 0 = 2*i + 6, y + i + 2*i - 6 = 0. Which is the third biggest value? (a) 3\/7 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 820509.9139 to the nearest ten.\nAnswer: 820510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - sqrt(11))*-6 + (3 + sqrt(11) + 1 - sqrt(11)).\nAnswer: -48*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d - 23. Suppose -7*z - 76 + 104 = 0. Solve -o = z*o + d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 4*j - 99. Let x be z(0). Let c be (-6)\/14*132\/x. Let -2\/7*a**2 + 0 + c*a = 0. Calculate a.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 15*p. Let n(q) = 37837*q. What is n(o(y))?\nAnswer: 37837*y**2 + 567555*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-25)\/4 + 3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 17. Let p(b) be the first derivative of -b**4\/4 + 2*b**3 + 7*b**2\/2 + 4*b - 3. What are the prime factors of p(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = l - q, l + 2*q - 133 = -13. Calculate the highest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(66) + sqrt(66) + (sqrt(66) - ((sqrt(66) + sqrt(66)*2 + sqrt(66))*-4 + sqrt(66))) - sqrt(66))\/sqrt(6))**2.\nAnswer: -9537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, v: 8}. What is prob of picking 4 v?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -13*l**3 + 2*l**2 + 3*l + 1. Let n(m) = -13*m**3 + m**2 + 4*m + 1. Let y(d) = 3*n(d) - 2*u(d). What is the second derivative of y(f) wrt f?\nAnswer: -78*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -26) + -10 + 0 + 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 433424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 11*v - 5*v - 4*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6))\/(((-24332)\/711)\/44).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294, 554, 796, 1014, 1202, 1354?\nAnswer: 1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7546? (a) 2 (b) 50\/11 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1255846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {s: 1, b: 2, t: 1, x: 3, a: 5, g: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 25*z - 80. Let y be ((0\/2)\/(-2))\/2. Suppose y = 3*m - 74 + 20. Calculate the lowest common multiple of m and x(4).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**3*x**2 - 576458*k**2*x**3 - 2*k*x**3 + 78800*k*x**2 - x**3 wrt k.\nAnswer: -30*k*x**2 - 1152916*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -81. Suppose -2*s + 4*i = 0, s = j*i - 3 - 7. Solve -7*f + s = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.215*24.91\nAnswer: 5.35565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrxxxxmxm. Give prob of picking 2 m and 1 j.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 0*n + 0*n**3 + 0*n**2 + 98 + 1\/22*n**4 + 2\/55*n**5. Determine d, given that t(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.835 - -2.8. Let n = b - 27.965. Let r = n - -28. Which is smaller: r or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7*m. Let t(r) be the third derivative of -r**6\/120 - r**5\/60 + r**3\/2 + r**2. Is t(m) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 242*g**6 + 443*g**2 wrt g?\nAnswer: 29040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-45))\/((-20)\/36)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 109 - 4?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459353 is divided by 1714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 27*p**2 + 30*p + 60. Let j be a(-28). Let d(f) = -25*f + 83*f - 28*f - 30*f - j*f**2. Let m(v) = 9*v**2 - 3. Give d(m(i)).\nAnswer: -324*i**4 + 216*i**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 2*c**3 + 0*c + (-3 + 1 + 0)*(2*c**3 + 0*c**3 - 4*c**3) - 5*c**3 + 2*c**3 + 6*c**3 to s*c**2 + x*c**3 + o*c + t and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*l - 35*l + 930*l = 25*l - 21540 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 10) to base 16.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -701, -2833, -6401, -11417, -17893, -25841, -35273?\nAnswer: -46201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 24. Let o be 14\/(7\/c + -1). Let j(a) = o - 35 + a. Let k(q) = -13*q. Determine j(k(i)).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2068888.\nAnswer: 2, 258611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*j, 5*j = -2*c + 21 - 1. Let k be (-4)\/(-14) + (-52)\/(-14). Factor 4*v**2 + 0*v**4 + 0*v**4 - v - 4*v**k + c*v + v**3.\nAnswer: -v*(v - 1)*(v + 1)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 e, and 1 a when four letters picked without replacement from bejejbebjavejeeejjj?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3847*r. Let o(k) = 15388*k. Calculate -2*o(b) + 9*q(b).\nAnswer: 3847*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**6\/160 + 9*b**5\/40 - 27*b**4\/8 + 27*b**3 - 16*b**2. Suppose y(t) = 0. Calculate t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, -36737.\nAnswer: -36737, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1900)*-1 + 2 + -1)*-4)**2.\nAnswer: -320*sqrt(19) + 30416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3*sqrt(119)\/sqrt(7) - (sqrt(51)*2 + sqrt(51))\/sqrt(3)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, a: 7}. What is prob of picking 4 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 28. Suppose 5*q = -d*v - 1715, 2*v = 5*v - 2*q + 1029. Let l = v + 1040\/3. Calculate the common denominator of l and -97\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, o: 7, r: 1, c: 6}. What is prob of sequence gro?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93521678*x**3 + 93521680*x**3 + 9508*x + 4360*x + (3 + 0 - 2)*(-5*x**3 + 3*x**3 + 4*x**3) to p + k*x**3 + l*x**2 + f*x and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**3 + 7*c - 6. Suppose 199 = 5*m - 5*b + 194, -3*m + 4*b + 3 = 0. Give w(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4897215*a*p**3 + 62721*a*p**2 - 61*a wrt p?\nAnswer: -29383290*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 + 3*w + 3. What is q(-3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2192 + -2187. Let t be 66\/14 + 2\/7. Solve -c*w + 10 + t = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47870974 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 - 10)*(-90)\/(-2). Let z be 6*(-5)\/j*1. Factor z*q**3 - 2\/3*q**2 + 0 + 2\/3*q**4 - 2\/3*q**5 + 0*q.\nAnswer: -2*q**2*(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 10910*y + 6. Calculate l(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -1202130?\nAnswer: -1202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000178653 to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2 - 340028*q - 14452380098 = 0. What is q?\nAnswer: -85007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/6, -1\/6, 0.079, -0.1 in descending order.\nAnswer: 0.079, -0.1, -1\/6, -11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 - -54. Let c(a) = -11*a + 35. Let b be c(-6). Let y = b + u. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -7)*(1 + -2). Let i = -3 - n. Solve 13 = 2*q + p, i*q - 3 + 2 = 3*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211787153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/12 + 988*s**3\/3 + 488072*s**2 - 7642*s. Suppose c(x) = 0. Calculate x.\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q + 5. Let p be m(-10). Calculate the highest common divisor of p and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.153 (b) 25\/12 (c) 1\/2 (d) 1\/3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 6 = 5*j, 0 = 5*w + 4*j - 45. Let m be 20\/50 + w\/5. Suppose -5*v = -0*v - m*t + 10, -t + 3 = -2*v. Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -34*i - 544. Calculate y(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*i - 103, 2*j - 27 - 7 = -2*i. Suppose -5*r = -f - 189, 2*f = -3*r + f + 115. What is the highest common factor of r and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 9) to base 7\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k + 146 = -44. What is the remainder when 192 + 4 + 3\/((-3)\/k) is divided by 95?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (255\/(-200))\/(318\/(-265))*-4\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -0.1628.\nAnswer: 0.9768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 512787*f**4*o + 10*f**3*o - 2*f**3 - 14*f**2*o + 7590*f*o - 2*f - 2*o wrt f?\nAnswer: 12306888*f*o + 60*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 13*b**3 - 3*b**2 - b. Let j(v) = v**3 + 20*v**2 + 54*v + 44. Let r be j(-17). Let y(w) = -9*w**3 + 2*w**2 + w. Determine r*y(f) - 5*g(f).\nAnswer: -2*f**3 + f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4658346*a**3 + 12*a**2 + 23355*a.\nAnswer: -27950076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17948 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 5:06 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9e6 (base 15) in base 5?\nAnswer: 32431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2908761 and 5817522?\nAnswer: 5817522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4236 a factor of 130607665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2, 5*i - 2*p = 3*p + 5. Let k = 2 + i. Let q(v) = v**2 + 3*v - 7. Let x be q(-5). Solve -1 - 6 = -3*u - 2*r, x = k*u + 3*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by (-96)\/128*308\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010854 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8832)\/56 - 6\/21. Let m = 48 - c. List the prime factors of m.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408436996 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -18 + (191 - 194).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/4 - 4\/8. Suppose 4*v + 15 = -f. Let t = 3 + v. Which is the closest to t? (a) 1 (b) 3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8389 + -8389.30005. Let a = -0.28 + -0.02. Let p = a - s. Round p to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621*v - x - 18 = -620*v, v - 6*x - 87 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 l when three letters picked without replacement from {c: 4, l: 4, d: 8}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 30*n**2 + 2275*n + 1879. Give q(-75).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 8*c + 4. Let l = -21 - -290. Suppose -6 = -270*t + l*t. Calculate i(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4775 + 4777. Solve -15*s = -10*s - 20, -a*u - 26 = -3*s for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -18*n**3 + 6*n**2 - 3*n - 11. Let r be w(5). Let x be (-3 - -5) + (r\/(-1))\/(-2). Let d = x + 1938. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = u + 1264, 531*u - 534*u = 3*h + 3720. Which is smaller: -1239 or u?\nAnswer: -1239","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 3\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2029 or -2302?\nAnswer: -2302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 1.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 521192 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 21*a - 2 + 3 - 22*a + 2. Let j be v(-9). Solve -j = -5*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*z**5 + 51*z**4 + 129*z**3 - 2*z**2 + 333921*z?\nAnswer: 60*z**3 + 612*z**2 + 774*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -829c5 (base 14) to base 11.\nAnswer: -1a552a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-49))\/((-320)\/140)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -13 - ((4 - 70) + 27).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 4:48 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310*c**2*z**3 - 294*c**2*z**2 - c**2 wrt z.\nAnswer: 1860*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1084, -2120, -3094, -3976, -4736, -5344?\nAnswer: -5770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (5 - (-1 + 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x + 2*x - 219 + 4*x - 58 in the form d + q*x and give d.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089210178 rounded to three dps?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3417\/21 + (-2)\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 183, 473, 879, 1401, 2039?\n\"Answer: 58*q**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (29 - 0 - 2). Let u be (6\/9)\/(6\/v). What is the derivative of 2 + 0*b**2 - b**2 + u*b**2 wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in decades?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x*x**(1\/13)\/x)))\/(x\/(x**(-8)*x)*x))\/(x**(-28)\/x*x**17))**21 assuming x is positive.\nAnswer: x**(840\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmm when three letters picked without replacement from wmbmmbmwmmwm?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 4 - (-12 - -26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*a + a. Let o = 1.07 - 0.07. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**3 + 5*d**3 + 4*d**3.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (2 + -21 - (-10 - 3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*w + 132 = -116*w. Suppose 5*y + 2*x + 2*x = 43, -x = y - 8. What is the highest common factor of y and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 12, 3*t - 4*q = 8*t - 36. Find the first derivative of 0 + 4 + f**t - 3 + 0*f**4 wrt f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.69 + -0.31. Let i = v - -12.85. Let d = -0.85 - i. Is d > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(80) - sqrt(80)*3)*-1)**2.\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -0.8, 1, -2, 2784?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156 divided by 6.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h**2 - 102*h + 101*h + 12*h**2 + (-8 - 8*h + 8)*(h + 5*h - 5*h) in the form v*h + t + o*h**2 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eokkukokkekueukko. What is prob of sequence kuk?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 2*h + 2. Let c be j(-2). Suppose c*b - 142 = -0*b. Let q = 76 - b. Solve 2 = r, g + q*r = -2*g + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/3, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 7.6. What is the second biggest value in y, 4, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j - 5. Let g(o) = 5*o - 6. Let y(n) = -4*g(n) + 5*s(n). Let z(q) = -25*q + 11*q + 4 - 2*q. Give 7*y(i) + 2*z(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 7*k + 2. Let l be a(-7). Suppose -9 = -3*h, 2*x + x = -2*h + 21. Suppose x*p - 4*g = g + 10, g = -4*p + 28. Solve -l*m = -p - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 594, 1107, 1854, 2913, 4362?\nAnswer: 6279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -219 - -272. Suppose 2*v = 4*q + v - c, 4*v = -4*q + 68. Calculate the remainder when 52 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:34 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26087, -26135, -26187, -26243, -26303, -26367, -26435?\nAnswer: -26507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/(-4)*(-2)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 7) + 0 + 11 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.97 - -3. Let n = -0.1 + l. Let p = n + 0.81. What is p rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12*y = -54. Solve -5*h + 3 = -y*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 12519 = -5*w, 13*w - 17*w = -5*x - 10022. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 5*q + 2. Let r = -10 + 14. Let l be k(r). List the prime factors of (-177)\/(-6) + l\/4.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31560640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 15) in base 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b - 359. Let t(g) = -g. Give -6*t(o) - y(o).\nAnswer: -2*o + 359","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3963696?\nAnswer: 2, 3, 11, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89 or 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -b8832 (base 12) to base 16\nAnswer: -3b5a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-77) + (-2)\/(-11). Suppose -3*d - p + 5 = g, 0 = -6*p + 2*p - 4. Let x = -82 + 83. Solve 2 = -4*f + 2*f + d*u, f - 4*u + x = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18678 + 317562\/17. Which is the smallest value? (a) x (b) 0.5 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383668204?\nAnswer: 2, 95917051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5006148 divided by 732?\nAnswer: 6839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7972.\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1 + (-1 + 0 + 3)*(-2 - 1 + 1))*(3*y + 0*y - 4*y)*(-y**2 - y**2 + 0*y**2).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 9. Suppose -26 + 106 = a*c. Let g(o) = 804*o + 4827. Let z be g(-6). Solve -z*l + 8*l = c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8274316679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*h + 8, -5*h - 2 + 8 = -4*i. Calculate the greatest common factor of i and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.27 - -76.27. Let g = 75.82 - c. Let x = -0.894 + g. What is x rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07716 minus 138867877?\nAnswer: -138867876.92284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - -73) + (84\/(-98))\/(1\/7).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 25 + 56 - 30. Let j be (-4 - -1)\/((-2)\/((-16)\/12)). Let z(w) = 8*w. Let u(y) = j*z(y) + 2*h(y). What is u(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, w: 3, x: 2, z: 7}. What is prob of picking 2 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 903 + -907. Which is the third smallest value? (a) -0.5 (b) -3 (c) 1.06 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/14, -3, -449?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13809332 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u + 23. Calculate p(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000130158 to seven dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4861\/3 + -1621. Let x = 10 + -9.9. What is the second smallest value in -6\/53, z, x?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.27 and 917.6.\nAnswer: 1165.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1)*w)\/(w**(-3)\/w)*(w\/(w\/(w*w**(-4))))**(-22) assuming w is positive.\nAnswer: w**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*g + 44*g = -4. Let p(w) = 6*w**2 - 3*w + 4. Let r(b) = -b**2 + b - 1. Give g*p(z) + 3*r(z).\nAnswer: 3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53.95 + -46.95. What is the closest to 6 in -0.1, -2\/7, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -187\/4. Let p = -2257\/234 + -22\/117. What is the common denominator of i and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 14) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4\/7, -5, -6 in decreasing order.\nAnswer: 0.3, -4\/7, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 7. Let s(t) = t - 2. Let z be s(5). Let l = 2 - z. Sort l, 0.3, m.\nAnswer: l, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**4 + 51 - 51 + (-2*c - c + 0*c)*(-3 + 4*c**2 + 4*c**2 - 4*c**2)*(-2 + 2 - c) as r*c**2 + b + w*c**4 + a*c + l*c**3 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438, 447, 468, 507, 570, 663?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 8*f. Let p(o) = 2*o + 7. Let b be p(-5). Let j(q) be the second derivative of -q**4\/12 - q**3\/2 - 2*q. Give b*s(c) - 8*j(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03029 to four dps.\nAnswer: 0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 2.761\nAnswer: 1.3805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 241020 and 148011.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1712\/1284*(89\/4 - 2) and 3459?\nAnswer: 31131","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*z, 5*g = -4*z + 4696602 - 1696606. Suppose -f = f + g. Round f to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 80, 0.3, 844?\nAnswer: 844","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 6*l**2 - 4*l + 2. Let t be k(-4). Let s = t + 26. Suppose -4*v + 2*v = -s. Solve -3*i + 15 = -v*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4 - 2*m + 1 + m**2 + 0*m. Let b be k(-4). Solve y + 5*w = b, -5*w = 4*y - 7*y - 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 194 by 424.\nAnswer: 97\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 47022469 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1043.8891 + -1044. Let j = d - -0.11. What is j rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -679*q**2 + 650*q**2 + 78*q + 30*q wrt q?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -183950 (base 11) in base 6?\nAnswer: -10023352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1342, 833, -1524, -5729?\nAnswer: -11782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 5*q**2 + 7*q + 32. Suppose 3*f + 2*p + 31 = 0, f + 3*p + 13 = p. Is o(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 8197 (base 12) to base 7.\nAnswer: 56026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4 take away 2?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.000063 - 21. What is b rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316115769 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -11. Let n(y) = 5. Let i(u) = 4*c(u) + 9*n(u). Let s(w) = w + 2. Give 6*i(k) - 3*s(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**3\/3 - 2*r**2 - 3*r - 5. Determine g so that y(g) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*l**3 - 1747*l + 1747*l)*(1 - 1 - 2)*(l - 4*l + l).\nAnswer: 248*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1317352682 to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24300*q**3 + 16786*q**3 + 7509*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 544367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 15*t = -5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 1:54 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50186796 is divided by 18001?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(24721*d + 30724*d - 2581*d - 7810*d).\nAnswer: -45054*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -887?\nAnswer: -887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(84)*-3 + sqrt(84)) + 1*sqrt(84)*-3)\/((sqrt(72) + 3*(sqrt(72) + sqrt(72)*2))\/(sqrt(6) + -2*sqrt(24))).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/11 - 4*x - 42\/11.\nAnswer: -2*(x + 1)*(x + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 + 2201 + 0*i**3 - 1899 to the form q*i**2 + c*i + r*i**3 + u and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 18 = -0. Let t(x) be the first derivative of 0*x + 1\/5*x**5 - 1\/3*x**3 - f + 0*x**4 + 0*x**2. What is the third derivative of t(c) wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.4041 rounded to one dp?\nAnswer: -52.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**2 + 32*x**2 + 8*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/5*b**4 + 9\/5*b**3 + 0*b + 0 + 3\/5*b**2 + 3\/5*b**5.\nAnswer: 3*b**2*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 252\/583 - -6\/53. Let r = -42 - -46. Suppose 2 = -3*a - 13, -2*t - 18 = r*a. Is l at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 39 - 62 - 12 - 2*m + 0 to k*m + v and give v.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/(a\/(a**4\/a)))**(-28\/9) assuming a is positive.\nAnswer: a**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + (-15)\/(-3600)*205\/(-2) and 14\/33.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -42*n**2. Let b(j) be the second derivative of 73*j**3\/3 - 7301*j. Give t(b(s)).\nAnswer: -895272*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3 - 23661145*q**2 = 0. Calculate q.\nAnswer: 0, 23661145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 - 1.5. Which is the nearest to y? (a) -0.3 (b) -1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 539?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence endc when four letters picked without replacement from ccceceednc.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 769675 less than 494283?\nAnswer: -275392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/170)\/3*(-7085)\/8502.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1618978 divided by 34?\nAnswer: -47617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 20, 0*g + 2*g - 5*l = 91. Let n be 0 + -4 + 7 + g. Let o = 13 + -1. What is the greatest common divisor of n and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3 = -38*l + 39*l, 1858*l + v + 81 = 1871*l - 42 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -268 - -270. What is the biggest value in -7, d, 0.5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012902171 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 126, 575, 1338, 2421, 3830?\n\"Answer: t**3 + 151*t**2 - 11*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5 - z**2 + 313*z + 5 - 314*z - z**3 - 5. Let c be q(0). Let g = -5 - c. What is the closest to 5 in g, -5, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214694961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111707561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.001.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -11*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -553235 (base 6) in base 10?\nAnswer: -46103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 21965?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-10) + 2\/1*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -5*p**4\/24 + p**3\/3 - p**2. What is the tens digit of v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1167 and 5446.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3628517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwh when three letters picked without replacement from {y: 2, t: 1, h: 4, x: 1, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 892641 to the power of 1\/2, to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.022 * -0.5\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*t + 776 + 445*t**3 - 5*t - 776 - 386*t**2 wrt t.\nAnswer: 2670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -17*s**3\/6 + 3*s**2\/2 - 4443*s. Let o(g) = -g + 1. Determine c(l) - 4*o(l).\nAnswer: -13*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j - 97. Let w be g(-25). Suppose w*t + 5*h = 7913 + 43318, 0 = -t + 2*h + 17077. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 207. Suppose 0 = 3*m - i - 58, -15*m - 5*i - 74 = -18*m. Let k(t) = -16*t - 10*t - 14*t + 60*t - m*t. What is k(l(w))?\nAnswer: -4*w + 414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*-2*(20251\/(-539) - -38).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-18)*-38866 - (-5 + (-3 - -2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 7*j = 0. Solve -5*z + 15 = -j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-26) + 9\/(819\/485408)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, k: 3}. Give prob of picking 1 w and 3 k.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1005, 29, -4 in decreasing order.\nAnswer: 29, 5, -4, -1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5435 + f?\nAnswer: -5426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - ((50 - 11) + -55).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1824)\/(-224) + (-18)\/(-21). Solve -10*l + v = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/12)\/(1\/80). Let c(z) = z**2 - 18*z - 25. Let l be c(20). What is the greatest common factor of l and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13360649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56 + 58*s**2 + 869*s**3 - 2*s**4 - 482*s**3 - 441*s**3 + 54*s.\nAnswer: -2*(s - 1)**2*(s + 1)*(s + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 451400 to the nearest 10000.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 4*y + 4, 2 = 4*i - 7*i - 4*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2016000 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 12*y**2 - 3*y - 36. Let u be f(-12). Solve -6 = -5*v + n, 0 = -u*v + 4*v - 4*n - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -468.4 rounded to the nearest 10?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6867\/105 + (-2)\/5 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12131*t - 169815. Calculate s(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*z + 29, -6*v + 4*v + 5 = -z. Suppose -2*s = -z*s + 39. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s + 17 = 5*u + 20*s, 4 = u - 2*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4541 + 4541.5. What is the closest to -3 in m, -4, 3\/4, 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 30. Let r = 17.18 + -0.18. Let i = j + r. What is the second biggest value in 1\/7, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 224*t - 1077. Let d be p(5). Let l(m) = m - 2. Let k(u) = 4*u - 6. Suppose w = -1 + 3. What is d*l(a) + w*k(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*z + 12 = 0, -6*r + r = 2*z + 5. What are the prime factors of (4 - -2) + r + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0 - 6*k**2 + 1\/30*k**6 - 1\/5*k**5 + 0*k**3 + 0*k + 0*k**4. What is the third derivative of y(t) wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/2989 (b) -1 (c) 5 (d) -0.05 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*f + 3*z, 0*f + z - 6 = 2*f. Let c be 53 - (4 + f)*-2. List the prime factors of 1 - (c + -4)\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k. Suppose -5*s = t - 12, s - 3*s = 5*t + 9. Suppose 1 = -u, 3*x + 5 = -s*u - 2*u. Let b(c) = -4*c + x*c + 0*c + 3*c. Calculate b(o(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -4)\/3 - (-9 + 13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - (-11)\/(33\/15). Solve 5*g + 16 = h, -b = 3*g + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(-2*l**3 + 2*l**3 + 5*l**3)*(-3*l - 3 + 3).\nAnswer: 45*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23\/172 + 5\/43. Suppose -5*t = -19 + 4. Let z = 5 + -4.9. What is the nearest to -2\/17 in z, k, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/108 and 37\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-540))\/(1\/(12\/2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-54)*(-2)\/16*-12. Factor 2\/9 + 4\/9*u + k*u**2.\nAnswer: 2*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290625 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 56 = -16. Let z = 22 - y. Let b = 436578 - 436558. What is the lowest common multiple of z and b?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*-1)\/(-7*(-21)\/98)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 13) to base 4\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*z + 70*z + 850 = 0. Solve 90*y = z*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 9 = -7. Is (3 + (-686)\/q)*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14715733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, u: 12}. Give prob of picking 1 o and 1 u.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in 0.3, -5, 0.53, 0, 909?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 42413?\nAnswer: -42410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -825003 - (10\/95 - (-177)\/(-57)). Round o to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6214168 and 103\/4334.\nAnswer: 68355848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 + -1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1522 = 4*h, 5*l - 416 - 1100 = -2*h. List the prime factors of l.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-18 - 19 - -31 - (1 - -15))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1517*j + 503*j + 504*j + 513*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2) - (-1 - 0). Suppose 0 = -4*d - v*n + n + 1027, 4*d + 5*n - 1009 = 0. Suppose 3*c - 121 = -2*j, -5*c - 5*j + d - 46 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41933*i - 3948*i**2 + 41934*i + 101*i**2.\nAnswer: -3847*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9102525 less than 0.3?\nAnswer: -9102524.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27996 and 85.\nAnswer: 2379660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 296667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-26)\/156)\/(2\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23288456 to the nearest integer?\nAnswer: 4826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -66287.5 times -7?\nAnswer: 464012.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 16 = -0*w. Let s(g) = w*g**3 + 0 - g**2 - 2*g + 2*g**2 + 1. What is the units digit of s(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44031.2 millimeters in meters?\nAnswer: 44.0312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + 15.9. Let z = -7\/24 + 1\/24. Let q = 0.06 + 0.24. Which is the closest to k? (a) -0.4 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4147 and -3160411.\nAnswer: -3164558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 21. Calculate h(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 9:07 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65727 divided by 6.\nAnswer: 21909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279877 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + -1 + 5 + 5 + sqrt(308)\/(sqrt(7)*-2*-6 + sqrt(7)).\nAnswer: 28*sqrt(11)\/13 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.03010928\nAnswer: 0.09032784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41865865 to the power of 1\/2, to the nearest integer?\nAnswer: 6470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/5 - 19\/(-10))\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 less than 579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11686050 divided by 4.\nAnswer: -5843025\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 43. Let q = y + -8. Solve -q*l**3 + 4 + 0*l**3 + 18*l - 4*l**2 - 14*l = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/3)\/(i**(-25)\/i) assuming i is positive.\nAnswer: i**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 558, -2, -5, -1\/6 in descending order.\nAnswer: 558, -1\/6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/9)\/((-2)\/(((-153)\/6)\/17))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 12*k + 16. Let m be u(-13). Suppose 20 = 4*v, -5*v - 4 + m = -t. Factor t*j - 1\/4*j**2 + 0.\nAnswer: -j**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -981*n**2*o**3 - 456*n*o**3 - 2*n*o**2 wrt n?\nAnswer: -1962*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -8. Let s(w) = w**2 + w - 1. Let a be s(r). Let p(q) = 14*q - 10. Let j be p(7). What is the greatest common factor of j and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21109971 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(170)*3 + sqrt(170))\/(sqrt(640)*3 - sqrt(640)).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**3\/7 + 1958436*u**2\/7 + 239715993660*u\/7 - 239717952100\/7 = 0?\nAnswer: -244805, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/2 - 9*x**4\/2 - 11*x**3 - x**2 + 21*x\/2 + 11\/2 = 0 for x.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/(2\/8*-9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b - 3*b + 0*b - b. Let t(u) = 8*u. Let x(v) = -9*v. Let a(m) = -7*t(m) - 6*x(m). Determine -7*a(k) - 4*y(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = 3. Suppose 3*i = -v - i + 310, l*v - 2*i - 670 = 0. List the prime factors of v.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 - 12. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -76 - 8 - 14.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 16) + 97 - (-7 + (-24 - (15 + -31)))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 - 2*f**4 + 0*f**4)*(0 + 2*f + 0) + 153200*f**3 + 81*f**5 - 153200*f**3.\nAnswer: 83*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011847855 rounded to five dps?\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x = 413 + 217. Let y be x\/9*((-112)\/20 + 5). Sort -1, 16, y.\nAnswer: -1, y, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3147 is divided by 1002.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1801 - 53766?\nAnswer: -55567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 10:33 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8691)\/972 - (-108)\/12 and 47\/1080.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006837049 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 481*y + 28898. Determine o(535).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71268*i**3 - 462515 wrt i?\nAnswer: 213804*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*r + 13 = -3, -3*q - r = 4. Solve -l + 0*l - 4 = q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 125257*w**2 - 59*w + 118. Let j(v) = -4319*v**2 + 2*v - 4. Give -59*j(h) - 2*y(h).\nAnswer: 4307*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvlv when four letters picked without replacement from vvvvvvlovvvvvv?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/144 and -101\/452.\nAnswer: 16272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -21. Let t(p) be the third derivative of -p**4\/12 - 2*p**3\/3 + 41*p**2. Let c be t(g). Let u(o) = o - 1. Determine u(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - sqrt(1872)*1*6) + (sqrt(1872) - (sqrt(1872) + (0 + (sqrt(1872)*2 - sqrt(1872)) - sqrt(1872)))))**2 + 2 + 5 + 1*sqrt(13) + 3.\nAnswer: sqrt(13) + 46810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 134858 to the power of 1\/2, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**4 + 14991*t**3 + 15156*t**2 - 809244*t - 2159136 = 0.\nAnswer: -6, -3, 8, 4998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100652697*l**4 - 278191119*l?\nAnswer: 1207832364*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.028 and 4.\nAnswer: 3.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o**5)\/(o\/((((o*o*o**(-2\/3))\/o)\/o)\/o))**(43\/5) assuming o is positive.\nAnswer: o**(-374\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -309\/4?\nAnswer: -309\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000111001100 (base 2) to base 3.\nAnswer: -102212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/80)\/(-25 + (-18995)\/(-760)) - -15?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6)*x)**(2\/13)*(x**7\/x)\/(x\/(x**(1\/2)*x)) assuming x is positive.\nAnswer: x**(521\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 9 + 12. Suppose 0 = 3*i - 30 + 27, 0 = 5*c + 2*i - 12. What is the third derivative of 8*u**3 - 57*u**c + 27*u**2 + h*u**2 wrt u?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - (2*sqrt(77)*4 + sqrt(77))) - sqrt(77))\/(-2*sqrt(175)) + -3.\nAnswer: -3 + 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*t - 3*n, -3*t + 5*n - 4 = -50. What is the remainder when 64 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 23404600*f - 34235956322500.\nAnswer: -4*(f + 2925575)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217089 is divided by 2167.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 865, 3577, 8097, 14425, 22561, 32505?\n\"Answer: 904*c**2 - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1289*f - 12 = -1292*f - 3*x, 2*f + 8 = 2*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17621573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2624488*b + 5248984*b - 2624484*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 50.718 - 146711\nAnswer: -146660.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8088 divided by 24?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1444, 13, 0, 3, -1, -3 in decreasing order.\nAnswer: 1444, 13, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 477203*j**3 - 3*j**2 + 5*j + 36. Let h be v(4). Round h to the nearest 100000.\nAnswer: 30500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/3))**5*z**(-8)*z**(-1\/11))**(-2\/25) assuming z is positive.\nAnswer: z**(314\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 28*r + 58*r + 10*r + 92*r + 85*r.\nAnswer: 221*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 34047 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2233330 - 5?\nAnswer: -2233335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9352 + -4987. Does 108 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 5*y - 6. Give o(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 323 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**4\/48 - 5*n**3\/12 - 2*n - 172. Factor v(b).\nAnswer: -b*(b + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-2))\/c)\/(c\/c**(-4\/9)))**(-17\/5)*((c**(2\/9))**(2\/35))**(-2\/93) assuming c is positive.\nAnswer: c**(-55343\/29295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34474776 + 34493564 = 122*w for w.\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7253, -5, -21 in descending order.\nAnswer: -5, -21, -7253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25929 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(475)*-6)**2*6.\nAnswer: 102600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 + 157*m + 9. Let u(i) = i**2 + 39*i + 2. Calculate 2*f(j) - 9*u(j).\nAnswer: -j**2 - 37*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66132 and 132?\nAnswer: 66132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 19278*x - 809604\/7.\nAnswer: -2*(x - 67467)*(x - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-20) + 3612\/(-30). Let m = -46 - u. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 2 - 247 = -221*n. Which is the third biggest value? (a) 3 (b) -31 (c) n (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2 (b) -17 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 17*q**2 + 6*q - 597. Let o(m) = 12*m**2 + 4*m - 597. What is 2*d(p) - 3*o(p)?\nAnswer: -2*p**2 + 597","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8684?\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1841 is divided by 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -69. Let g(v) = 31*v**2 + 7*v - 31. Is g(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: dbc5 (base 15) to base 5\nAnswer: 2442120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*r**4 + 17*r**3 - 42*r**2 - r wrt r.\nAnswer: 576*r + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 24. Let l = 11 + a. What is the smallest common multiple of l and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 - -0.8. Suppose -4*n + 8*s - 10*s + 14 = 0, 3*s = -9. Which is the nearest to -8? (a) n (b) x (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**13)**(-21) assuming v is positive.\nAnswer: v**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41108 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (149 - 28) - -17 - -3.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 175*b + 126. What is the tens digit of x(-66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8631671.00000064 + 8631667. Let o = 4 + z. Let b = 0 + o. Round b to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7998 - (-1 - (-3 - 0)). What is n rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -2. Let a(l) = l**2 + 2 + 3*l**2 + 2*l**2 + 7*l + l**3 + 0*l**2. Determine a(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + g**2 - g - 1. Let p(d) = -d**2 + 3*d + 1. What is p(b) + 3*u(b)?\nAnswer: -3*b**3 + 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*w - 112 + 24, -4*w - 124 = -4*k. Is (-108214)\/(-30) - ((-94)\/w - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 112\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1046846155 from 140768.\nAnswer: 1046986923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -9*u**2 + 573*u - 7. Let k(w) = 5*w**2 - 287*w + 4. Determine 7*k(s) + 4*o(s).\nAnswer: -s**2 + 283*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1548.4 and -0.2?\nAnswer: 309.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -526 + 1229. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:37 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by -7.\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 101581889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17120 divided by -3424\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 0.04 (c) -0.961 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**9\/252 - u**5\/60 - u**2\/2 - u. Let l(h) be the first derivative of d(h). What is the third derivative of l(o) wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707998.8 tonnes to nanograms.\nAnswer: 707998800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -7. Let z be 4*4\/8*-6. Calculate the common denominator of -59\/10 and 105\/z + (0 - f).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11718000 rounded to the nearest one hundred thousand?\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) - -2*sqrt(99))*-3)\/((1*sqrt(72))\/sqrt(8)).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddffe. Give prob of sequence ffde.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.4, 3\/5, 5 in decreasing order.\nAnswer: 5, 2, 3\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015118765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -14. Let o = 6 + v. Round o to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5}. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 1 + 2 + 2 + s - 2 to the form v + b*s + q*s**3 + n*s**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - 4*y + y)*(13*y**2 + y**2 + 5*y**2) + 3*y**3 + 2 + 4 - 4 to w*y**2 + z*y**3 + t*y + k and give z.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 325.889 litres?\nAnswer: 325889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + -1)\/(12\/(-16)). Let b = y + -4. Is b > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = -137*y - 447 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74206*q**2 + 104841*q?\nAnswer: 148412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + (324\/(-432))\/(1\/24).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from iuujjiufu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.15 + -46728.\nAnswer: -46746.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3324376000 to the nearest one million.\nAnswer: 3324000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 184\/20 - -7. Let f = 14 + -19. Which is the closest to 1\/4? (a) 0.1 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12 + 0 - (-36)\/(-6). Is (44532\/g + -5)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 349 - 567. Let c = t - -211. Let r(b) = -4*b + 7. Let x be (-22)\/(-4) + 2\/4. Let y(q) = -3*q + 6. Give c*y(d) + x*r(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407933 and 34204.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 221 - -16. Find the common denominator of (r\/(-2))\/(2 - -31) and -85\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 28 + 88 - 30 + 63*n**2 - 2.\nAnswer: 63*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-468)\/156 - ((-11)\/(-1) - (-4196)\/(-300)).\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6373, 6442, 6557, 6718, 6925?\n\"Answer: 23*f**2 + 6350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 246*t**3 - 234*t**3 - 8*t**3 - 12.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**3\/t))**(1\/25)\/(t**(2\/15)*t**6) assuming t is positive.\nAnswer: t**(-463\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 8*r**2 - r + 1. Let x be k(-8). Suppose -x*g - 64 = -11*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**6 + 17803*b**3 - 241*b**2 - b - 6 wrt b?\nAnswer: 720*b**3 + 106818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*k + 4 + 2, -k = -4*s. Suppose -10*m + k*y = -9*m - 3151, 5*y = 15. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1074*j**3 - 13*j**2 + 1073*j**3 - 5*j + 19*j. Let s be y(-14). Solve 6*d - 4*d - 2 = s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33385\/(-1214) + (42\/4)\/((-2)\/(-4)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - v + 14 = -9, -g = -4*g - 45*v - 105 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 11:14 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2781, 11116, 25007, 44454, 69457, 100016?\n\"Answer: 2778*q**2 + q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26315.21 grams to kilograms.\nAnswer: 26.31521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**38*v*v)\/(v*v**7))\/(((v\/(v**19\/v*v))\/v*v)\/v*(v\/(v*v*v**18))\/v) assuming v is positive.\nAnswer: v**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -782 divided by 6\nAnswer: -391\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4 - 1 - 4*p + 3*p. Let d(f) = 8*f - 20. Suppose -2*g = -5*c + 65, -43 - 12 = 2*g - 3*c. What is g*i(o) - 3*d(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 5) to base 15\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4211432 + -35?\nAnswer: 4211353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/(n**(-7)*n))\/((n*n\/n**9)\/n*n**(-2\/3)) assuming n is positive.\nAnswer: n**(302\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 - -4) - (-5 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0*u - u)*(-36*u + 32*u - 50*u).\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + m**2 + 3*m + (-9 - 9*m + 9)*(-1019*m + 185*m - 254*m - 608*m - 981*m) to the form i*m**2 + p + z*m and give i.\nAnswer: 24094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2*h*v**3 - 2189*g**2*h - 3*g**2*v - 1128*g*v**3 with respect to h.\nAnswer: -2*g**2*v**3 - 2189*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3 - (-3 - (-32)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -22 - 12*k + 46 + 2*k**2 - 3*k**2 - 8. Give a(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.97, 4, 3\/7 in decreasing order.\nAnswer: 4, 1.97, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b + 2*d - 799998 = 0, 5*b - 3*d = 4000003. What is b rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2094.7 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 99162647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -3515579\nAnswer: 1757789.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x - 1. Let f be i(-3). Let t = f + 18. Solve t*g - n + 18 = 0, -5*n + 7 - 1 = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 - 99. Suppose x*n - 28 = 26*n. Solve -v - n*s + 1 = -s, -5*v - 11 = -s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 0 + 0 + (-a**2 + a**2 + a**2)*(2 + 2 - 3) + 0*a + 0*a - 4*a**2 + 4*a + 2*a**2 - 4*a)*(3*a**3 - 5*a**3 + 0*a**3).\nAnswer: 8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.88, -108, 2\/9, -0.16?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 21*i. Let u(g) be the third derivative of -g**5\/20 + 16*g**3 - 2*g**2 + 13*g. Let j(b) be the first derivative of u(b). Calculate j(y(a)).\nAnswer: -126*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-19)\/z*z)*z\/(z**(-1\/3)\/z) assuming z is positive.\nAnswer: z**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2, -544, -4 in increasing order.\nAnswer: -544, -4, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.2557333 milligrams?\nAnswer: 0.0000002557333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 52986144 - 52986144.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 54*o - 30. Let f be p(3). What is the greatest common divisor of f and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -g - 0*o + 4*o, -3*g + 56 = o. Solve 10*b + 11 = -g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*b + 3*b - 3*b + 3*b**2 to the form i*b**2 + y + l*b and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 311 + -281. Factor 64*t**3 + 21*t**3 + 17*t**4 + 4*t**4 + p*t**2 + 14*t**4.\nAnswer: 5*t**2*(t + 2)*(7*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7*(-40)\/(-476))\/2. Is 0 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4}. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 27 = -24*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-18))\/(43\/(-645))*99\/110\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, h: 1, a: 5}. What is prob of sequence uau?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8513, 17097, 25761, 34505, 43329, 52233, 61217?\n\"Answer: 40*y**2 + 8464*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1283, -2641, -3999, -5357, -6715?\n\"Answer: -1358*o + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.065769 - -0.5?\nAnswer: -0.565769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/45)\/((-7047)\/4374).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (22 - 45)\/23?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 7, -3\/7, 2\/9, -1, 491\/49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrxrrsxrxsrxrzlxzx. What is prob of picking 1 l, 2 x, and 1 z?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -34*b - 5. Let j(v) = -8*v - 1. Let f(k) = -9*j(k) + 2*y(k). Give f(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 428*t + 435. What is the lowest common multiple of z(-1) and ((-1)\/(-3))\/((-8)\/(-672))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2695 by 228355.\nAnswer: 539\/45671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 1.08929674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 207968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80539.\nAnswer: 43, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54165 divided by -5?\nAnswer: -10833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d + 58. Let x be g(16). Let t be (2\/x + 48\/10)*-1. Let m(y) = y**2 + 6*y - 2. Give m(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 2 + -2 + 4. Suppose q*y + 12 = y. List the prime factors of (-1015)\/(-30) - 1\/y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -2\/1029 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.8 (b) 0 (c) 1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jekkj. Give prob of picking 1 j and 2 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79.5*1.\nAnswer: -79.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2347?\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80371980?\nAnswer: 2, 3, 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 11, n: 1}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 6 (b) 2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 26489320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 3*x + 5. Let z be h(5). Let u = z + 13. Suppose -m - u = -c, -1 = -3*c - 5*m - 9. Solve -3*b = -2*i + 12, 4*i = b - 2*b - c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 412915512 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1196102*f. Let r(z) = 29*z**2. Calculate r(q(a)).\nAnswer: 41489139837716*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4586131+-130365\nAnswer: -4716496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 2*d**2 - d**2 + 0*d**2. Let b(f) be the first derivative of f**4\/6 - f + 2. Let n(j) be the first derivative of b(j). What is n(t(k))?\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 0) + (1 - 3). Let y = 7\/15 - -13\/15. Is y at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 450316 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4453?\nAnswer: 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(2\/9)))*m*m*m*m*m*m**(2\/23))\/((m\/m**(5\/2))\/m**(-2\/9)) assuming m is positive.\nAnswer: m**(349\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/4*(77\/(-385))\/(2\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.62 - -0.62. What is the nearest to t in 0, 3\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62167 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 47*(-4 + 1666\/416). Let y = t - 3\/16. Let r = -21 + 20. Which is smaller: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-91)\/455)\/((-4)\/(-10))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 6 = -93. Let s = r + -18. Suppose n = -4*b + s, b - 3*b = -2*n + 2. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k**3 + 67*k**2 - 7783 + 7783 to the form u + l*k + f*k**2 + p*k**3 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (1*sqrt(1701) - sqrt(21)))\/(sqrt(243) - (sqrt(243) + 2*sqrt(243)))*5 + -3.\nAnswer: -5*sqrt(7)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(425) - sqrt(425)*-2)*4 + 1 + (4 + sqrt(1700)*-2)*-3)**2.\nAnswer: -1680*sqrt(17) + 244849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*z - 179, h - 134 = -z - 34. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)*b)\/b)**(9\/4) assuming b is positive.\nAnswer: b**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1429*b**3 + 5*b**2 + 5*b + 10. Let o(c) = -610184*c**3 + 2136*c**2 + 2136*c + 4272. What is 5*o(i) - 2136*s(i)?\nAnswer: 1424*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*x + 33, 2*h + 3*x - 18 - 1 = 0. Suppose -s - 3*b - h*b = -40, 0 = 3*s - 5*b - 40. Calculate the remainder when 58 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 156*m**2 + 14*m + 2372. Give o(-156).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1456 and 10504?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five quarters of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1*sqrt(612) + ((-2*sqrt(85))\/sqrt(5) - sqrt(17)))*4 + 3 + 1*sqrt(153) + -1)*-2)**2.\nAnswer: -13200*sqrt(17) + 1851700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 65*r**2 - 2158*r + 151. What is b(34)?\nAnswer: 1919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 11 + 23 = 0. Suppose s - 46 = -2*h, 4*s + 5*h = -0*h + 193. Suppose 2*u + 2*n - s = 0, -v*n = u - 4*u + 85. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -242*o. Let d(z) = -z**2. Calculate a(d(r)).\nAnswer: 242*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from ttpzkpktptktzzkz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7139351 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 7*s**2 - 3*s + 7. Let f be h(-7). Solve 5*x + 4*m + 0*m + f = 0, 0 = 4*x - 4*m + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280041 rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 193.668 to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(2\/13)))\/w)\/w)**18*w\/((w**(-4)\/w*w)\/w)*w\/(w\/((w*w**(2\/7)*w)\/w))*w assuming w is positive.\nAnswer: w**(-2774\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/(-425) - 28*108\/51408\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 10879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -13 + 2*r + 7 + 0. Calculate i(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291 less than 1291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 169820 and 700?\nAnswer: 849100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2 + 3) + 3. Let l = i + 107. Calculate the greatest common factor of l and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010000101 + 11000001000011?\nAnswer: 100010011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 1 = 17*n - 16*n, -4*n = 2*b + 24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.048079542497679 and -1?\nAnswer: 0.951920457502321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 2358551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d1 - -5d?\nAnswer: 22e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111212.0241 - -111217. Round r to 1 dp.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10840 - -184222\/17. Let w = r - -1068\/323. Put 3, -4, w in decreasing order.\nAnswer: 3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4159210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -5*g**3\/3 - 11. Let i(f) = 2*f. What is i(m(k))?\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Suppose y*g + 2*a + 3 = g, g - 5*a = 18. Put 1, g, 4 in descending order.\nAnswer: 4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3168 and 42682200.\nAnswer: 512186400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*m + 118 = 84, 3*m + 1 = -b. What is the highest common divisor of 1568 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422*z**3 - 200*z**3 - 206*z**3.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnknnsnansinnnsnnsss. Give prob of sequence ksa.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 195835269 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (222\/(-296))\/(45\/96*4). Let p = -3 - -1. Which is the nearest to -10? (a) -3\/4 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j**2 - 1727*j + 1727*j.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -465222, -465221, -465220, -465219?\n\"Answer: h - 465223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2\/12)\/(1\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 9 = 11. Let x be (h\/(-10))\/((-2)\/8). Let z(g) = -2*g**2 + x - 1 - 1. Let c(p) = 4*p. Determine c(z(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 359400000 rounded to the nearest one million?\nAnswer: 359000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/(-4) - 2\/8. Let y = -138.9 - -166. Let i = y + -27. Sort b, i, -1 in decreasing order.\nAnswer: i, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 670, 3\/8, 2\/59?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 11. Suppose -4*z + 9*z + 20 = 0. Let m = 456.9 + -457. What is the nearest to m in 0.2, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/15, 6\/7, 5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -667132 + 10\nAnswer: -667122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -401?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.2. Suppose 4*c + 72 = 268. Let y = 635\/13 - c. What is the third smallest value in y, d, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**3\/3 - 3*z**2 + 28*z - 15. Let i be t(-10). Which is smaller: -7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.5 + -0.5. Let m = -3 - -5. Let l be (m + 17\/(-7))*1. What is the third smallest value in w, l, 3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36657482 and -0.011139.\nAnswer: 36657481.988861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 803.9499 millennia to months.\nAnswer: 9647398.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 4*v = -29, 3*c - v - 5 = 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -105. Suppose -2*q + 7*q = g. Calculate the lowest common multiple of q and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 22 - 37. Which is greater: r or 30\/209?\nAnswer: 30\/209","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 86*t + 397. Determine i(41).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Let i be 0\/(-6)*v\/(-6). Solve -5*y = -i*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - u + 3. Let h be r(1). Sort 0, 6, h in ascending order.\nAnswer: 0, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8232)\/(-693) + (-351 - -339)?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/1*(-162)\/(-270). Let o(g) be the first derivative of -g**4\/8 + g**3\/2 - g**2\/2 + 2. Let m(t) be the second derivative of o(t). Calculate m(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 232 = j - m - 198, -2*m = 4*j - 66 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 2. Let m be j(-20). Calculate the greatest common divisor of 198 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -12. Let i = v - -5. Let y = 1 - 2. Put y, 6, i in descending order.\nAnswer: 6, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 - -116. What is the nearest to -2 in 1\/9, 3, l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 32 + 5)*(3*r**2 - 14*r**2 - 2 - 10*r**2).\nAnswer: -840*r**2 - 80","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18248 is divided by 205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/11))**5 assuming p is positive.\nAnswer: p**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2)*4\/(-6). Let d = 6 + -8. What is the nearest to o in -1\/3, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 4, 2340 in ascending order.\nAnswer: -27, 4, 2340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*k - 11 = -8*k, -5*i + 29 = k. Suppose -8 = -4*m + i*h + 24, -3*m + 5*h = -24. Let o = 22 + -16. What is the smallest common multiple of o and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**5 - 95*h**4 - 170*h**3.\nAnswer: -5*h**3*(h + 2)*(h + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + 1242. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 2*d + 2, -15*d + 12*d - 6 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + z**2 + 3*z. Let h be j(3). Calculate the greatest common factor of 24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89904 divided by 6.\nAnswer: 14984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1161 in 9, 0.12, 5, 8, 0.2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 124*g**3 + 877*g**2 + 41*g - 5. What is the remainder when 207 is divided by h(-7)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 2. Suppose -a - 3*u - c = -2*a, -5*a - 5*u = 15. Is 13 a factor of 15\/(51\/42 + a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 235 and 35?\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 - 19*x - 2. Give h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102322 (base 5) in base 14?\nAnswer: 144b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l + 113. Calculate z(23).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4*v**2 - 6)*((-2*v + 0*v + v)*(2 - 2 + 1) - 4*v + 4*v - 2*v).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73948.\nAnswer: 2, 7, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.963 - -0.037. Let w = s - -7. Let k = w + -29.34. What is k rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, 2, -16 in increasing order.\nAnswer: -16, -12, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 26*w + 787. Let s(z) = 5*z. Calculate s(j(m)).\nAnswer: 130*m + 3935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886631.83 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 1\/8 (b) -7 (c) -115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 + -17c6?\nAnswer: -17b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + l**2 - 1. Let t be a(-2). Let s = 156.8 - 157.3. What is the nearest to 1 in 0.07, s, t?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51.82 - -2.42. Let i = j - -49.4. What is the closest to 2 in i, -6, 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1501968.3050753 - -0.5.\nAnswer: -1501967.8050753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -72194991\/41 at least -1760853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -222?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108964 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8*i + 3*j + 37 = 0, -32 = 4*i + 3*j. Which is the nearest to 1? (a) 5 (b) i (c) 1 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59\/(-826) + 18\/(-532)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 1 + -4)**2 - (sqrt(13) - (sqrt(637) + 1)**2)) + 5 + sqrt(637) + -4.\nAnswer: 14*sqrt(13) + 661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 133227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o - 1. Let p be h(8). Let v = 84 + p. Let k = -22 + v. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 69 = -4*p. Suppose 28*z = 27 + 29. What is the smallest common multiple of p and z\/(4\/14) + (-15)\/(-5)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 18*g - 72. Let n be x(12). Suppose -n + 471 = 3*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12696 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, a: 6, b: 1, z: 1}. What is prob of picking 2 c and 1 a?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 9*311 + 0. Let g(j) = j**3 - j**2 - j + 2. Let x be g(2). Let h be (326\/x)\/(14\/o). What is h rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**6\/360 + g**5\/10 - 11*g**4\/24 - 5*g**3\/3 + 4. Let r(f) be the third derivative of w(f). What is the units digit of r(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*k**3 - 16407*k**2 + 16407*k**2 + 34 wrt k?\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {o: 2, j: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4113071467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*s + 5*i - 34, 2*s = 5*i + 50. Let q = 1 + s. Solve 4*t + 0*t = l + q, l + 16 = 3*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 2*w**2 + w + 2. Let i be f(-2). Let z be 2\/5*(i - 10). Is 77 + (-4 - -3) - z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -156, 4, 1202?\nAnswer: 1202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a - 0*a. Let m be a\/(-2)*-6*1. Let b(o) = -4*o - 2 + 3 - m*o. Calculate b(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 325355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 + n - 2. Let d be p(-2). Suppose -3*a + 5*z + 32 + d = 0, -24 = -a + 5*z. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 7 = 3*n + g, -20 = -4*n - 4*g. Which is bigger: n or -1\/94?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**5\/5 + 11*c**4\/12 - 5*c**3\/6 - c**2 - 29*c. Suppose f(n) = 0. Calculate n.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**6\/360 - 5*x**5\/36 - 11*x**4\/9 - 14*x**3\/3 + 534*x**2. Factor o(v).\nAnswer: -(v + 2)**2*(v + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*w + 66, 15 = -2*w - 3*w. Suppose k - 9 = 4*k - a, 0 = -2*k - 3*a + 5. Let o be 10\/f*-3 - k. Sort -3, 31, o.\nAnswer: -3, o, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 c, and 1 t when four letters picked without replacement from tticicc.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 271728673*f**3 - 433*f**2 + 3*f - 25796 wrt f.\nAnswer: 1630372038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44952 and 4?\nAnswer: -179808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*z - 253 = 235 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-327)\/27 - -68 - 56.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5479 + 9355. Does 51 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (9 + -5 - 6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3036*d**2 - 4535*d**2 + 1069*d**2 + 498*d**2 - 3739*d**2 to the form r*d + z + m*d**2 and give m.\nAnswer: -9743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**3 + 6*t**2 - 3*t - 2. Let l be c(-3). Let v = l + 72. Let z be (v\/30)\/(1\/(-3)). Sort z, 0.1, -4\/7 in ascending order.\nAnswer: z, -4\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5678333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -14.2. Let j = f + 2.2. Which is the nearest to j? (a) 0.9 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0 - 1) + -5 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/9 (b) 20 (c) 6 (d) 8.8 (e) -0.5 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 112*y + 4747. Give c(-42).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28908441 + 0.7?\nAnswer: 28908441.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1.2, 0.293, -0.03, 9 in descending order.\nAnswer: 9, 1.2, 0.293, -0.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.26 at least as big as -1.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + j + 1461 = -j, 3*j = g - 300. Suppose -290 = -4*k - 2*h + 550, h = 5*k - 1036. Let x = g - k. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7080*z + 2. Let o be y(-2). Suppose 2*u = -4, 2*u - o = 5*c - 2*u. Let q = 22707\/8 + c. What is the common denominator of 49\/4 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25d116c (base 14) to base 10\nAnswer: 18250636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 77*y + 214. Let q(r) = 2*r + 55. Let j(i) = -a(i) + 4*q(i). Let v(t) = -896*t + 77. Give -77*j(x) + 6*v(x).\nAnswer: -63*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9 (b) 5 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80119875 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: List the prime factors of 9873.\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*p - 2*p + 5 = 0, 3*u - p + 9 = 0. Let n be 226\/(-6) + (-2)\/6. Let j be 4500*n\/(-6)*u. Round j to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -5*w**9\/126 + 3*w**5\/10 - 29*w**2. What is the third derivative of f(t) wrt t?\nAnswer: -2400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -977, -1, 1.3, 5, 11, 4?\nAnswer: -977","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 2*c - 3, 96*w - 101*w - 31*c = -67 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t + 50*t - 263*t - 125*t - 86*t.\nAnswer: -441*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + ((-16)\/4 - -3). Let i = -122145\/16 - -7629. What is the common denominator of i and 2\/b - 108\/128*-1?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4\/11, 35\/12827, -0.5, -0.4 in descending order.\nAnswer: 4\/11, 35\/12827, 0, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)\/(t**(1\/2)\/t))**(-29)*(t\/(t**(-2)\/t)*t**(-3))\/(t**(1\/4)\/t)**(-23) assuming t is positive.\nAnswer: t**(805\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**2 - 671*s - 578. Give o(-95).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -6 - (3 + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0, 260 in ascending order.\nAnswer: -2\/7, 0, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 16, -2, 2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 40, -134.2 in increasing order.\nAnswer: -134.2, 0, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k = -38*k + 100. Solve -g - 3*c = -3*g - 12, 3*g - k = -5*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let r be l - (2\/(-1))\/1. Let n(v) be the first derivative of -v**4\/4 + 2*v**3\/3 + 3*v**2\/2 + 3*v - 3678. Calculate n(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/60 - 52\/(-90)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1392*v**3*w - 214*v**2*w + v**2 wrt v?\nAnswer: 8352*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*a**2*h - 2208*a**2*j - 4*a*h - 2*a*j + 2*a + 3*h*j - 46*h wrt j?\nAnswer: -2208*a**2 - 2*a + 3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*-1 - (19 + 2). Suppose -n = -5*a - 113, a - 2*a + n - 21 = 0. Is i > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 - 2*w - 61)*(4*w + w - 2*w + (2 - 2 - 2)*(-1 + 1 - w)) to f*w + v + t*w**2 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*d + 599*d - 5 = 5*q, -4*d - 5*q = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - 3*i**2 + 2*i - 2. Let q(d) = -d**3 + 6*d**2 - 7*d + 7. Let m be q(5). Let b be v(m). What is the units digit of b\/3 - (-7)\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i - 1. Let h(s) = s - 1. Let n(a) = -g(a) - 6*h(a). Let k(p) = p - 16. Let u be k(13). Let b be n(u). Put b, 2\/7, 1 in decreasing order.\nAnswer: b, 1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 12:37 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 113 = -5*h, 4*h + 2*c + 66 + 14 = 0. Let r be (-6)\/h - (-57)\/21. Solve -5*x = 5*l + 40, -2*x - r*l = 20 - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*w + 2*g = -115*w - 178, -g = w - 51. What is the highest common factor of w and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241564024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1393 = 4*w + 3*d + 1410, -9*d - 119 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24988081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q**3 + 0*q - 1\/6*q**5 - q**2 + 0*q**4 + 0. Let v(u) = 2*u**2. What is p(v(f))?\nAnswer: -40*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -7. Solve 0*k = k - p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - -161306) + (-13 + 11 - 8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((56\/10)\/((40\/25)\/((-28)\/(-21))))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 - 48*y - 84. Let w be x(-14). Suppose 2*d - 1 - 3 = 0, 4 = -2*f - 3*d. Put -81, w, 2, f in decreasing order.\nAnswer: 2, w, f, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 722 + 152?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 7*i + z + 981, 4*i + 2*z - 966 = 0. Let t = -242 + i. What is the remainder when 30 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 36 + (4 - 3) + 5\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -365532842?\nAnswer: -365532842.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbcejdd. Give prob of sequence je.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -1*7\/((-7)\/100)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2533, 5439, 8345?\nAnswer: 11251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593016, 1186029, 1779042, 2372055, 2965068?\nAnswer: 3558081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-96)\/3 - (-6 + (3 - 4))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 6*g - 2. Let i be w(5). Let s(o) = o**2 + 4*o - 5. Let a be s(-5). Let t = a + i. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887 is divided by 53?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-416)\/(-42) + (-18 - (-6080)\/336).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(1 + -4)*4. Suppose -323 - 37 = 6*j. What are the prime factors of (j\/u + 2)*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 3)*(-2)\/(-4). What is the derivative of 0*n**2 + 9 + p*n**2 + 3*n**2 - 2 wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 c when three letters picked without replacement from qpqqppqffqbfqc?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*z + 84*z + 1333 = 183*z. Solve -29*u + 2 = -z*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -27*d**5\/5 - 887*d**4\/12 - 61*d**3\/2 + 4*d**2 - 1176*d. Let a(w) = 0. What is w?\nAnswer: -8, -1\/4, 1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - -1.4. Let t = 213\/2 + -110. Which is the second smallest value? (a) t (b) p (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-420))\/((6\/(-15))\/(-1))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 480.26 + 1769.74. Is u at most 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24036995 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c*c**7*c)\/c))\/c**(-2\/17))\/(c*(c\/((c\/c**(4\/7))\/c))\/c*c*c*c*(c*c\/c**3)\/c) assuming c is positive.\nAnswer: c**(-1006\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 622981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 + 32452*n\/11 - 97374\/11.\nAnswer: 2*(n - 3)*(n + 16229)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/10)\/(-3))\/((-391)\/115)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-90) - (-2552)\/18. Suppose -5*o + t = 3*b, 3*b = 3*o + 2*b - 74. Calculate the remainder when 77 is divided by o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*g - 25 = -3, c + 4*g = 1. What is the second smallest value in c, -90, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = 0, -6*y = -2*y - 2*z + 2. Let i = y - -1. Suppose o = -3, -i*o = -r - r + 8. Is r at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/6*32\/4. Let n be (780\/(-910))\/(-1 + (-22)\/m). Solve -v + 4 = -4*t + 21, 4*t = -n*v + 32 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 5*c**2 + 116*c - 1881. Give m(14).\nAnswer: 3467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07615 - -460046971?\nAnswer: 460046970.92385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36288 and 2808?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 divided by 65?\nAnswer: 222\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 15*v + 2. Let l be o(-15). Suppose l*j = 5*j - 66. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -7 + (-3 - -1)*-1*4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 4 = 26 + 48 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 284. Let t(w) = 3*w - 52. Give r(t(y)).\nAnswer: -3*y + 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20723 + -1281?\nAnswer: -22114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151 and 122461?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 16, -3*y - n + 5*n = -1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15562 and 4154.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -10. Let j be (-12)\/(-45) - (2 + (-10)\/g). Let m = -11\/15 - j. Put -1\/2, m, -6 in descending order.\nAnswer: -1\/2, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (-272)\/77 - 4\/22. Put -2\/7, 2, -5, z in ascending order.\nAnswer: -5, -2\/7, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from mmuu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zliiaiqhailzllaazi. Give prob of sequence ha.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -11\/12 (b) 4.4 (c) -70 (d) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 + 403\/5. What is the nearest to m in 14, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4361 and 343.\nAnswer: 30527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 12730?\nAnswer: 140030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17168269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 491, 989, 1487, 1985, 2483?\n\"Answer: 498*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211020 (base 4) to base 9.\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - b**2 + 2*b + 5. Let t be h(0). Suppose -21 + 121 = t*y. Calculate the lowest common multiple of 18 and y.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5365993519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 2*m**2 + 24*m - 6 + 2*m**2.\nAnswer: -2*m**2 + 24*m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, d: 1, t: 1}. What is prob of picking 1 d and 2 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-5) + 66\/15. Suppose 0 = -4*b - x*s + 26, 5*s + 6 = 2*b + 2*b. Let i(d) = b*d - 2 - 3*d + 6. What is i(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 4*f + 5. Suppose 0 = 2*b + 2, 4*w - 4*b = -2*b + 18. What is the units digit of q(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83756.17l in millilitres?\nAnswer: 83756170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-78*l - 3*l**2 + 78*l)*(-l + 2*l + 2*l) as d*l**2 + y + u*l**3 + z*l and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3))**(2\/51)\/((u**(2\/3)\/u)\/(u\/((u\/((u**7\/u)\/u*u))\/u)*u*u)) assuming u is positive.\nAnswer: u**(1424\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(24) + sqrt(48)\/sqrt(2)))\/(sqrt(300)*-1) + (sqrt(28)\/(sqrt(14)\/sqrt(2)))\/(sqrt(288)*2).\nAnswer: 101*sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 203753411171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 5. Let c = 13 + b. Is ((-2)\/c)\/((-8)\/168) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446173 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, -1, -4, -3824, 4 in decreasing order.\nAnswer: 4, 2, -1, -4, -11, -3824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -6. Differentiate 3*i**2 + 2*i - 4*i + 2*i - d with respect to i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 137480.29 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 812438951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -24, 0.5, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 2*d**2 - d - 1. Let c(y) = -4*y**3 + 6*y**2 - 5*y + 8. Determine c(b) - 3*x(b).\nAnswer: -b**3 - 2*b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o + 24. Determine w(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbn when three letters picked without replacement from {n: 2, a: 6, k: 5, z: 2, b: 3, f: 1}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.386 and 23758.\nAnswer: 23760.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2\/(z**(1\/5)*z)*z**(1\/2)*z*z*z**2 assuming z is positive.\nAnswer: z**(53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -12*i**2 + 77*i + 55. Let h(c) = c + 2. Let u(o) = 3*h(o) - j(o). Is u(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 111749405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40759148387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/4*1088\/12. Suppose g + 3*g = v. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 295.3160138 to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17372774 and 3956.\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtthtwwtwwtwtwtwww. Give prob of picking 1 h, 1 t, and 2 w.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/(-40)*8\/(-2). Suppose 3 = -3*r, -b - b - 5*r = -q. Calculate the smallest common multiple of b and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 2804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eddyryebqyedeqr. Give prob of picking 2 r, 1 d, and 1 e.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*l - 169*l - 3*k + 33 = 0, 1 = -k for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240657.\nAnswer: 3, 97, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/9)\/((-68)\/(-153))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 + 145\/20. Solve -b*f + 4 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/90 + k**4\/9 + k**2. Let n(w) = 0. What is w?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1e (base 15) to base 3\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1928, 2373, 3116, 4157, 5496, 7133?\nAnswer: 9068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29404 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -17. Let c = 18.00069 + r. Round c to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12600307 to the nearest integer?\nAnswer: 3550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 2:40 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 4*a - 4*d, -210 = -3*a + d - 61. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 - 2.9. Suppose 0 = 2*m - 2, -k - m + 125 = -5*k. Let h = -437\/14 - k. What is the fourth smallest value in 0.2, 0, n, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 1 + 7. Let s(r) be the second derivative of -1\/5*r**5 + r**c - 1\/3*r**6 + 0 + 1\/7*r**7 - r**2 - r - 1\/3*r**3. Suppose s(d) = 0. Calculate d.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/(-27)*138\/4*2. Suppose -3*o - 3*t + 102 = 0, -3*o = 4*t + t - h. Calculate the greatest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 4. Let b(g) = 2*g**2. What is d(b(l))?\nAnswer: 12*l**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198 + -130. What is the greatest common factor of z and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from abaaaixaxbipaca?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven fifths of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 36 + 8aa9?\nAnswer: 8b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65137944 to the power of 1\/2, to the nearest integer?\nAnswer: 8071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8317 - 167.4917. Let w = s + 167. What is w rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*y + 110*y = -122*y + 546 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*u + 3004737 = -431645 - 829258. List the prime factors of u.\nAnswer: 2, 3, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.669274t to grams.\nAnswer: 5669274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**2\/n)\/n)**(-29))**(-23))**8 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2084949 = 179*n - 7606648. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least as big as -10791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 642\/90)*48 + -6\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 + 112. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - (-1064)\/42)\/((-9)\/4 + 2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -6, -32, -88, -186, -338?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 22 - 33 + 10 - 9*o. What is p(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**4 + 110*l**3 + 364*l**2 - 1. Let f(p) = -2*p**4 + p**3 + 1. Let a(d) = -f(d) - h(d). What is the third derivative of a(o) wrt o?\nAnswer: -48*o - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 9:10 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -4)*19\/38. Suppose -26 - 4 = -k*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p. Let l(h) = 5*h - 1. Let c(z) = -3*i(z) - 4*l(z). Let d(n) = 6*n - 11. Calculate 8*c(t) + 3*d(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 3*r - 11*r - 6*r + r in the form k*r**2 + n*r + s and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 6:36 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/514? (a) -47 (b) -14 (c) -26\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 8:02 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dldedlleelleelllee.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 286\/(-55) - (-168)\/(-45)*3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (-764 - (2 - 2)). Suppose -3*b - b = -o. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t**4 - 7*t**4 - 7*t**4)*(-21 + 0 + 13 - 45) as q*t**2 + g*t**3 + m + h*t + b*t**4 and give b.\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 43\/256951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neekkekenyfekey. What is prob of sequence efk?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*29796\nAnswer: -2979.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3231214 (base 5) in base 3?\nAnswer: -2210200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-234))\/((-176)\/264)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4075, 4100, 4165, 4288, 4487, 4780, 5185, 5720?\n\"Answer: 3*s**3 + 2*s**2 - 2*s + 4072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1011200?\nAnswer: -1011132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 13*q**2 + 22*q + 38. Let i be f(-15). Let y = -518 - i. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48*8.3\nAnswer: 398.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3330\/233609 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + -4 + 3 + 7 - 19\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 306, 0.3 in increasing order.\nAnswer: 0.3, 5\/4, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - q - 3)*(0 + 1 + 3)*(-20*q - 26*q + 3*q).\nAnswer: 172*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108 - -114) + 2 + -110 + 0 + 7?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*u + 64*u + 59*u + 47*u - 256*u.\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.67742um in centimeters?\nAnswer: 0.008167742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8879 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, o: 7}. What is prob of picking 4 m?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3 + 18*f**2 - 23*f + 900 with respect to f.\nAnswer: -3*f**2 + 36*f - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 31\/5*t**5 + 0*t**4 - 44\/3*t**3 + 0*t**2 + 31 + 0*t. What is the third derivative of k(p) wrt p?\nAnswer: 744*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -36. Let x = w + -7. Calculate the common denominator of x\/12 + (9 - 2) and -4\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2879, 5654, 8429, 11204, 13979?\nAnswer: 16754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 42. Suppose 6*l = 4*l + m*u - 177, -299 = 4*l + u. Is l at least as big as -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1827 and 19964151?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 57 = -13*u. Let p = -55 + u. Suppose 0 = -p*g - g - d + 345, -3*d + 237 = 2*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-50)\/(-15) + 56\/66.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**5 - 20*j**4 - 252*j**3 + 548*j**2 - 280*j = 0 for j.\nAnswer: -7, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 537\/12 + (-1)\/(-4). Suppose 2*c = w - 3*w + 30, 4*c - w - v = 0. Let h be (-1)\/(0 - (-2)\/(-4)). Solve -h*j + c = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 4. Let j be a(3). Suppose 4*y = t - j, -2*t - 6 = -4*t - 2*y. Suppose f = 5*c + 22, 3*c + t + 9 = f. Solve 0 = -2*w + f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 214*q**2 + 5. Let p(y) = 2*y. What is t(p(i))?\nAnswer: 856*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 178 in increasing order.\nAnswer: -2, 2, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -498*s - 306*s + 99*s + 59220 for s.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 3851*y**3 - 10*y + 3857*y**3. Let d(h) = -11*h**3 + 15*h + 1. Determine -4*d(a) - 7*n(a).\nAnswer: 2*a**3 - 4*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103096*m**3 + 2432 - 25504*m + 23488*m**2 + 18079*m**2 + 47473*m**2 - 1372*m**4 = 0.\nAnswer: -76, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66234302.\nAnswer: 2, 5281, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 9 = -3*j, -11*a + 1 = -17*a + 2*a + j + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 6*s**2 + 5*s + 1. Let y be 2\/9 + (-258)\/(-54). Let d be l(y). What is the first derivative of 0*p**3 - 4 + 4*p**3 + d wrt p?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 0.1, 79, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 12:23 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 55775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-4))\/(1\/2). Let u(z) = -z**3 + 8*z**2 - 8*z - 2. Give u(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 1. Let f(y) = -2*y. Let k(x) = 5*f(x) + 35*q(x). Differentiate k(z) wrt z.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-63) + (-80)\/(-168). Which is the closest to j? (a) -28 (b) -0.2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**3\/3 - 6*w**2 + 6*w - 1315. Give g(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllcclll. Give prob of sequence lcc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -1176.8.\nAnswer: -1177.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147205 is divided by 127.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10995\/352 - 825\/32. Put 0, 5\/3, -2\/7, m in descending order.\nAnswer: m, 5\/3, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 31 - 3*p - 1\/2*p**2. Let h be j(-10). Solve 2*t - l = 8, 5*t - h = -3*l + 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/224)\/((-13)\/26)*((-15190)\/(-1260))\/31\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -513 times 1\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (3099\/(-789) + 2). Let w = j + -22729\/2104. Calculate the common denominator of (-921)\/(-72) + 4\/(-6) and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeyeelee. Give prob of picking 1 l and 1 e.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 - -2*(-18)\/(-28). Suppose i = 5*z + j - 3, 2*z = 4*j - 16. Does 23 divide 412\/6 + z - 11\/(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7879063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 5, -1\/4, -3 in ascending order.\nAnswer: -3, -1\/4, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 13 = 4*u, 254*w = 5*u + 250*w - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327527?\nAnswer: 107, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 28 = -6*c. Factor 15\/4*j**2 + 0 - 3\/4*j + 9\/4*j**c - 21\/4*j**3.\nAnswer: 3*j*(j - 1)**2*(3*j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 302 and -1?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v - 9. What is the second derivative of 3*l**3 + v*l**2 + 2*l**3 + 6*l - 3*l**2 wrt l?\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 14*z + 15. Let d be u(15). Find p such that 8\/5*p**3 + d - 6\/5*p**4 - 2\/5*p**2 + 0*p = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12320 = 12*p - 6*p - 2*p. Calculate the highest common divisor of 980 and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -86436?\nAnswer: 86436.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26437878 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -1)*-4 + 1 + 3)**2 - (2*sqrt(96)*-5)\/((sqrt(9) - sqrt(9)*-2)\/sqrt(3)).\nAnswer: -1112*sqrt(2)\/3 + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -327, -487, -631, -753, -847, -907, -927?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.5, -0.2, -44 in ascending order.\nAnswer: -44, -4, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-6*-3 + 5)**2 - (4*(-4*sqrt(567))**2 - sqrt(567)).\nAnswer: -33995 + 189*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 777 - 772. Suppose 0 = -9*z + w*z - 4*j + 3236, 0 = j + 1. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (8 - (51 + -41))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 429, 1688, 3791, 6744, 10553, 15224?\n\"Answer: d**3 + 416*d**2 + 4*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 10\/120*-6\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5737992*a - 9660827 wrt a?\nAnswer: -5737992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011385414 to the power of 1\/2, to the nearest integer?\nAnswer: 31802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1126410817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-12 + 11 - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.6 + -39. Which is the second smallest value? (a) 8\/3 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/249 (c) -1531\/599\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/406 and -73\/22.\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(6)\/sqrt(3) + sqrt(2)) + sqrt(13) + (-1*sqrt(637))**2.\nAnswer: 3*sqrt(13)\/2 + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119016, -238141, -357268, -476397, -595528, -714661?\nAnswer: -833796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 187*g**2 - 64*g + 36 - 32*g**3 - 97*g - 59*g + 125*g**2.\nAnswer: -4*(g - 9)*(2*g - 1)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 46*w**6\/15 + 65*w**3\/2 + 98*w. What is the second derivative of f(k) wrt k?\nAnswer: 1104*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8739.635ml in litres?\nAnswer: 8.739635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.3. Suppose 3*f = 5*l + 4 + 27, -10 = 5*l. Let s be f\/(-2) + 0 + 3. What is the smallest value in s, w, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*a**2 - 29*a**3 + 98*a**3 - 33*a**3 - a**2 - 31*a**3 to the form h*a + y*a**3 + c + m*a**2 and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/27)\/(1 - 1\/3).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6694803.\nAnswer: 3, 71, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j - 2489 = -2119 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 6 = 0. Suppose -4*r + a*t + 10 = -0*t, 4*r = -t + 19. Suppose -3*h = -h + 2*i + r, 8 = 5*h - 4*i. Solve l + 2 = -h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u - 18. What is the remainder when 26 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n - 34002 = -3*g - 33*n, n + 56662 = 5*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 17980*l**2 + 16181985*l + 32292090.\nAnswer: 5*(l + 2)*(l + 1797)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - ac?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95606387 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1152 = -5*z - 45572, -3*z = 3*c - 26670. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/3057543 and -115\/18.\nAnswer: 6115086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 11:09 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y\/y**(2\/45)*y)\/y)\/y)*y)\/y**(-18)*(y**13)**(-8) assuming y is positive.\nAnswer: y**(-3778\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16, 98, 236, 430, 680?\n\"Answer: 28*w**2 - 2*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-2)\/4)\/1)\/(20\/(-60)). Determine r so that -2*r - 1\/2*r**2 - q = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 3*p**3 + 0*p + 14*p**2.\nAnswer: -3*p**3 + 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + -67. Suppose -2*u + 4*d + 102 = 0, -84 = -s*u + 4*d + 140. Suppose 0 = 12*y - u - 23. Calculate the highest common divisor of 133 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-450))\/(837\/467325)?\nAnswer: -67\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y**2 + 247*y + 81. Let i be h(-35). Put 550, 1, i in ascending order.\nAnswer: 1, i, 550","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 69*b - 134*b - 38 + 10 = -67*b, 19*q + 91 = -b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 9. Suppose r - 3*q = 4 - f, 0 = 3*r + 4*q - 74. Suppose -20*o + 412 = -r*o. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, -25, -1, 21 in descending order.\nAnswer: 21, 4, -1, -13, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*j - 21*j**4 - 30*j**5 - 19*j**3 + 11*j**5 - 12 - 38*j**3 + 16*j**5 - 75*j**2 = 0 for j.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-6) + 44\/(-8). Let y = t + 6. Suppose 2*a = -4*a + 18. Solve -2*i + 4 = z, -2*i + 13 = -y*z - a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13035 + 4?\nAnswer: 13043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -1 - -1)*2\/4. Suppose -i + 5*c = 45, a = -i - 3*c - 21. Is (-6985)\/i + 1\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-7 - -6) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b0d (base 15) to base 3.\nAnswer: -22001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.09 - -46.09. Is g > 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2458, -4242, -7202, -11332, -16626, -23078, -30682, -39432?\n\"Answer: s**3 - 594*s**2 - 9*s - 1856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2. Let g = 27 + -23. Let s(f) = -6*f**2 - 7*f. Let u(i) = 2*i**2 + 2*i. Let r(l) = g*s(l) + 14*u(l). Calculate p(r(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*w**5 + 561676*w**4 + 313*w**2 - 7986.\nAnswer: -420*w**2 + 13480224*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwb when three letters picked without replacement from wbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 6. Let k be u(-6). Let o = -133 - -93. Let r = o + 39.6. What is the nearest to k in 2\/21, -5, r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*i + 28, -i + 4*i - 8 = 5*x. Find the third derivative of h**2 + h**2 + 0*h**i + 3*h**6 wrt h.\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12105.\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13923 = 22*w - 72317. Is 140 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 52*d - 657. Determine u(-31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -8955\/952?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2693, -2934, -3461, -4418, -5949, -8198?\n\"Answer: -24*b**3 + b**2 - 76*b - 2594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*m - 8 = 0, -2*l + 3*l = 5*m - 12. Suppose 7*r - 5*r - 28 = 0. Let o be r\/4 - (-9)\/(-6). Calculate the greatest common factor of l and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1946\/9 - -216. Let g = 0.5 - -3.5. Put y, 1, g in descending order.\nAnswer: g, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*g + 187*g = 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -140044 or -140042?\nAnswer: -140042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377835212.\nAnswer: 2, 3, 13, 1979, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092933123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c - 4*y + 26 = 0, -3*c + 5*y = 5. Suppose 0 = -10*d + c*d. Solve -5*r = -d*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30308*l**3*m**2 + 8525*l**3*m + 2*l*m**2 + 6*m**2 + 192*m wrt m.\nAnswer: -60616*l**3 + 4*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35892 and 10?\nAnswer: 179460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*((-36939)\/(-28) - 2\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12280, 24305, 36342, 48397, 60476?\nAnswer: 72585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 8:50 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/234)\/(3*(-16)\/396)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + 0.28. Let n be ((-6)\/48*-12)\/((-5)\/2). Let d = 14\/15 + n. What is the fourth biggest value in x, -5, -2\/3, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157225 and 11875.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5307288969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -4) + (4 - -255) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*j = 4, -2*h + 5 - 1 = -4*j. Solve h = 3*i - i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + w + 3. Let r be a(2). Let b = r + -6. Suppose 0 = 5*g + 35 + 15. Which is smaller: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*d**4\/11 + 3704*d**3\/11 - 72296*d**2\/11 + 135360*d\/11 - 10368\/11 = 0. Calculate d.\nAnswer: 2\/25, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2e9d9c (base 16) to base 6\nAnswer: -145251312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*k + k - 15*k**2 - 13*k**2 wrt k?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 66 + 15)*(6*i + 42*i**2 - 6*i).\nAnswer: 4830*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/6)\/((-2)\/(-36)). Let l be (3\/2)\/(-7 + (-87)\/z). Suppose 151 = l*g + 25. Calculate the least common multiple of g and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 17 + (3 + 3 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11392334?\nAnswer: 2, 43, 132469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6692, 26777, 60260, 107141, 167420?\nAnswer: 241097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 3*m**3 - 70.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*t**2 + 389*t**2 + 394*t**2 - 2039*t**2 + 383*t**2 + 1 + 376*t**2.\nAnswer: -156*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (8 - 19) + (-3 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0 (b) -4 (c) 1\/3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 11:09 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((6*1*sqrt(5))**2 - sqrt(45)*-2)*6.\nAnswer: 36*sqrt(5) + 1081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 5*r + 0*r)*(0*r**3 + 2*r**3 - 3*r**3) + 108*r**2 + 119*r**4 - 12*r**2 - 117*r**4.\nAnswer: 3*r**4 + 96*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73 + ((-3)\/2)\/(2\/4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**7\/21 - w**5\/12 - 4*w**2 + 4*w. Let f(d) be the first derivative of h(d). Find the third derivative of f(m) wrt m.\nAnswer: -240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 5\/(-4))*(-16)\/6. Factor -4*f - 8 - 2*f**n - 11*f + 5*f.\nAnswer: -2*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/26943 and -13\/147?\nAnswer: 188601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, -4, -64, -11.\nAnswer: -64, -11, -4, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 55634784 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*d - 4*a - 12, 0 = d + 4*a - 22. Suppose -3*w + 2*m - d*m = -25, -4 = 2*m. What is the least common multiple of w and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 1.3, -3229, 1.7, -0.3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125*o**5 + 440*o**2 - 1160*o**5 + 111*o**2 wrt o.\nAnswer: -62100*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 480*z**2 - 23*z - 19. Is f(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 621 + -629. Let z be (-1)\/4 + (-69)\/12. Which is bigger: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-462)*49\/(-364)?\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.1. Suppose 0 = a + 4*b + 27 + 7, 4*b + 122 = -5*a. Let q be (6\/3)\/(a\/(-55)). Put q, 0.4, m in descending order.\nAnswer: q, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2 + 3*c + 12. Let k(h) = 13*h**2 - 8*h - 35. Let r(a) = 8*b(a) + 3*k(a). What is the derivative of r(n) wrt n?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 + 27714 - 27714.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*1636\/(-12)*(-2 - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 20, -2*o - 3*s = -o - 7215. What is o rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 974c (base 15) in base 8?\nAnswer: 76426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 4. Let k(o) = -39*o + 713 + 40*o + 720 - 1432. Determine -2*k(f) - u(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzxxzxzvzjxzxccx. What is prob of picking 1 j and 3 x?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2741 and -71\/36693.\nAnswer: 100575513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151.4 - -151. Let r be (-6)\/(-21) - (-1)\/7. Which is the closest to 0? (a) r (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - 5*g. Let z = 9 + -4. Let i be f(z). Calculate the highest common factor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11300851 or -11300845?\nAnswer: -11300845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -897*q + 73 - 144 + 71.\nAnswer: -897*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2156688*g**2 + 10658429?\nAnswer: 4313376*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -708 + -1002e?\nAnswer: -10737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 20 = -5*m. Let b(s) = -2*s**2 - 6*s + 3. Let r(d) = 2*d**2 + 7*d - 4. Give m*b(p) + 4*r(p).\nAnswer: -2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 89401 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihhhhhihhhhhhhhhhh. What is prob of sequence ih?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - -2*sqrt(396)*-4 - (-1 + sqrt(396) + 3))**2.\nAnswer: 192*sqrt(11) + 25348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + 0*h**2 - 3*h + h**2 + 1. Suppose 10 = -5*v - 25*f + 30*f, -f + 2 = 5*v. What is the units digit of s(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36123 + -61797. Let q = -25672.0991 - n. Let i = q - 1.9. Round i to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-4)\/(-24) - 72\/(-144). Suppose -o + j + 1 = -4*o, -3*o - 4*j + 5 = 0. Sort 3, n, 1\/2, o.\nAnswer: o, 1\/2, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (335\/(-201))\/(9\/(6831\/(-55))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4886*j - 27. Is r(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - v. Let j(t) = -4*t - 3. Let w = -2837 + 2838. Determine w*z(u) + j(u).\nAnswer: u**3 - 5*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22cd1 (base 14) in base 13?\nAnswer: -2c814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p + 35. Let t(b) = -2*b + 12. Calculate 11*t(m) - 4*v(m).\nAnswer: 6*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 11*g - 52. Let t = 0 - 0. Suppose t*q = -q + 32. What is the remainder when q is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/67? (a) 4\/3 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(3 + sqrt(891)) + 2 + (sqrt(308) - (-4*sqrt(308) + sqrt(308) + sqrt(308)))\/sqrt(7))**2.\nAnswer: 72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-36))\/((-234)\/(-2889)). Let g = f - -1\/52. Let u = 0.017 - -0.183. Which is the nearest to -1\/2? (a) u (b) 1\/10 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/10)\/t*t*t\/t**(-1)*(t*t**(-2\/13)\/t)**(2\/43) assuming t is positive.\nAnswer: t**(11699\/5590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 43*u + 82. Let s be h(-6). List the prime factors of (-7 - s\/24) + (-1060)\/(-6).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y. Suppose 2*i - 3*i + 9 = 3*u, -3*u + 9 = 3*i. Suppose t - 2*a = -2*t + 15, 0 = -u*t - 2*a + 3. Give z(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 0.0975, -0.00203?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*b + 2. Let r = 8 - b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/848 - (-2)\/16. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(9\/90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 65780730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6161719?\nAnswer: 19, 324301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67309926 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11515 (base 8) to base 5.\nAnswer: -124231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**5\/20 + 3*v**4\/4 - 9*v**3\/2 + 27*v**2\/2 - 10*v - 35. Let g(r) be the first derivative of t(r). Factor g(i).\nAnswer: -(i - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/3)*s*s*s*s**(6\/7)*s*s*s)\/(s**(1\/6)\/s**7))\/((s**(-1\/15)*s*s**(1\/10)*s)\/(s**(-1)*(s**(-1\/4)\/s)\/s)) assuming s is positive.\nAnswer: s**(3671\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 5*v - 2. Let p be f(-4). Suppose 0 = p*a - a. Suppose a = -6*d + 3*d + 96. What is the greatest common factor of d and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-682 - -712) + (-1 - 14)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - u**2 - 21*u + 9. List the prime factors of n(-9).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h - h + 3*h)*(-h**2 + 2*h**2 - 2*h**2) + 2*h**3 - 3*h + 3*h + h**3 + 2*h**2 - 2*h**2 to the form v*h**3 + x + g*h + o*h**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**2*y - 1771679*b**2 + 138*b*y**2 + 2*y**2 - 38*y - 8 with respect to y.\nAnswer: 3*b**2 + 276*b*y + 4*y - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 560*k + 1136.\nAnswer: -4*(k - 142)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 18660.9085 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1356548946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 213201 + 32?\nAnswer: 213233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2430262 and -20.\nAnswer: 48605240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -162 + 167. Which is the closest to 4\/5? (a) -6 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + 557. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1996 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10269 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 20*b**2 - 41. Suppose 0 = -11*g + 6*g - 105. Is s(g) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*796\/(-597)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979916 is divided by 119.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 81*f**2 - 7*f + 7. Determine u(1).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -23, -2 in descending order.\nAnswer: 4, 2, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 3*g - 2. Let u be 2*-1 + (9 - g). What is the highest common divisor of u and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.73 + -15.73. Let b = 0.32 + 5.68. What is the second biggest value in b, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 35*n**2 - 32*n - 231. What is the hundreds digit of g(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 58*i**2 - 18473*i + 1040757. What is u(56)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17969847*u**3 + 16691457*u**2 wrt u.\nAnswer: -107819082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -186759 (base 12) to base 7.\nAnswer: -3423315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(88)\/(sqrt(24)\/sqrt(3)) + sqrt(33)\/(sqrt(147)*2).\nAnswer: 57*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 3*f - 1, 70*l + 5*f = 71*l + 4*f - 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {h: 2, o: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 13 (b) -184 (c) 1 (d) 5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.17, 18, -4, -1.8, 3\/7.\nAnswer: -4, -1.8, 3\/7, 9.17, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -10 + -4 + 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9988, 18, 0 in decreasing order.\nAnswer: 18, 0, -5, -9988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15124349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 39, 142, 349, 696, 1219, 1954, 2937?\nAnswer: 4204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1414 - -22?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 5. What is the smallest common multiple of k and 72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-70))\/((-2)\/(-4))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 14 + -6 + 28 - 11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 10:35 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 213 - 213.2. What is the second biggest value in 3\/5, j, -0.1, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -333*h - 4. Let g(c) = -2667*c - 33. Let d(m) = 4*g(m) - 33*i(m). Let a(v) = -2*v**2. What is d(a(s))?\nAnswer: -642*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 26*g**2 - 166*g - 17. Give z(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21475*s*v**2 + 66*s*v - s - v - 14 wrt v.\nAnswer: -42950*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16828 divided by -4\nAnswer: -4207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t + 116. Let n be b(0). Solve -n*p - 2 = -114*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 10. Sort -4, z, 1\/3.\nAnswer: z, -4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 - -86. Let y be (r\/4)\/((-7)\/(-8)). Let 0*m**3 + 2\/7*m**5 + 0 + 0*m**2 + y*m**4 + 0*m = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 10. Suppose 3*t - 4*t = -14. Let k = 21 - t. Calculate the lowest common multiple of b and k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**6 + 807*d**4 - 4*d**3 - 36488*d**2 wrt d?\nAnswer: 480*d**3 + 19368*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 407347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2043341 + 141?\nAnswer: 2044032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 126*g**2 - 263*g**2 - 9*g + 190*g**2.\nAnswer: 53*g**2 - 9*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65098 and 2152.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016725 to 4 dps.\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*v = -174 - 109 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7423503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:34 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**2 - 38*w**2 + 11*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 27 = -k, 551*z - 60 = -4*k + 547*z for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0.1 (c) -8 (d) -135\/274 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 31*v. Let p(k) = 35*k. Let l(q) = 48*q. Let d(h) = 11*l(h) - 12*p(h). Determine m(d(y)).\nAnswer: 3348*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 + 4 + -3 + -2 and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 5*t**2 + 6*t + 5. Let b be y(6). Solve -b*d = -d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-196)\/(-6) + (-1)\/(-3). Calculate the remainder when 13 is divided by (-6)\/(-33) - (-159)\/u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100157*0.05.\nAnswer: -5007.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 268.284 + 0.216. Let z = f - 269. Let l = 2.08 - 0.08. What is the nearest to l in -9, 4\/9, z?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u**2 - 3*u**2 - 26*u**2 in the form k*u**2 + s + y*u and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 191269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a microgram in nanograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + t - 4 + 2 = 0, 0 = x - 2*t - 10. Let g(a) = -a**2 - 5*a - 3. Let v be g(-5). Does 7 divide -7*(x + v + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124*m**3 + 7*m**2 - 107*m - 4841329.\nAnswer: -372*m**2 + 14*m - 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = p - 2660. Suppose 5*u + 21 - p = -k, 2*u - 205 = -k. List the prime factors of u.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -10.4. Let f = -3.4 + b. What is the nearest to f in -3\/8, 0.5, -2\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + 0 + 0 + (-5*o + 1 - 1)*(19*o + 0*o - 8*o) in the form c*o + h + a*o**2 and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -27936, 5, 62\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqpdzpazqqdpzdqqqaqd. Give prob of picking 2 q and 2 d.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1534 - 2205. Let z = r - -3431. Round z to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**3 + 3*a**2 + 3*a - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-2)\/((-10)\/30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 582402958 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151 + -86. Suppose 5*k = 3*x + 390, -2*x + 112 = -4*k + 424. Suppose r + 2*r - k = 0. What is the highest common factor of o and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-640)\/(-12) - (-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*w = -5*x + 219*w + 226545, 0 = -3*x - 2*w + 135929. List the prime factors of x.\nAnswer: 113, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 7 = 6*s. Suppose 42 = s*c - c. Solve -c*k = -2*k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283356\/9 at most 475928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/(-36) - ((-623)\/4 + -1). Calculate the highest common divisor of i and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 - 1 + 1)*(-4*b + 5*b + 0*b)*(5 + 0 - 3).\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 - 3. Let l(b) = -b. Determine h(l(n)).\nAnswer: 3*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3018622.\nAnswer: 2, 17, 47, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-32)*6\/6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99820, -100037, -100252, -100465, -100676, -100885, -101092?\nAnswer: -101297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4 - 2)\/18)\/(2\/(-18)). Suppose 72 = 2*y + y - 3*i, -y - 2*i + 12 = 0. Solve y = -o - h*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -102, -5, 38\/7, -38, -0.5?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**4\/12 + s**3\/6 + 3*s**2 - 3*s. Give i(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 1:27 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22710 and 15897?\nAnswer: 158970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 528 + -283. Is 244 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**3\/3 + 2*g**2 - 4*g - 4. Let c be t(6). Let z = c - -25. What is the smallest common multiple of z and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*m*w**2 - 1653*m + 6*w**2 wrt w?\nAnswer: -66*m*w + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*z + 14 = 0, -5*w - 18 = 3*z - 5*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v**(2\/5)\/v))\/v)**35\/(v**(-2\/7)\/v)**(-5) assuming v is positive.\nAnswer: v**(347\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20535161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25144 (base 8) in base 5?\nAnswer: 321402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3*k = 88, -66*p = -47*p + 4*k - 97 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -3, -7940, -4, -0.1, 2\/2891?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -11*(-7 - 2). Which is the second smallest value? (a) x (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-419 - -443) + 2 + -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1213, -1225, -1251, -1297, -1369, -1473, -1615?\nAnswer: -1801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 2, 24*d + 6 = 21*d + 3*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106880 is divided by 8906?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-33))\/3 - (-120)\/176.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-four fifths of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 49205 divided by 13\nAnswer: 3785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 4*t, -15 - 3 = -4*c + 5*t - 3*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -2020?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437503 is divided by 29123.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 + (-7 - (-2 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3*h)**(-9\/5))**(-26) assuming h is positive.\nAnswer: h**(936\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 189 - 27. Calculate the highest common divisor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 251 and 1.03.\nAnswer: 258.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0*w - 26. Suppose -9*u = -w*u. Suppose u*t - 82 = -2*t. What is the remainder when t is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 598 - 18536\/31. Which is the smallest value? (a) -1\/2 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 504?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 237006717 a multiple of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 10:18 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036269497 rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-219)\/4088)\/((-27)\/24 - -1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 219 and 876.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 5*g**4\/24 + 95*g**3\/6 + 135*g**2. Is k(-14) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h. Let t(r) = r**2 - 15*r. Give t(a(s)).\nAnswer: 25*s**2 + 75*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 60685820519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 216 times -3139\nAnswer: -678024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 9:27 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2204235, 2204233, 2204229, 2204223, 2204215?\n\"Answer: -h**2 + h + 2204235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3678313.\nAnswer: 137, 26849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 5) to base 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/2413485?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208427426 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -39095 in descending order.\nAnswer: 4, 1, -39095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 12*c, 2*q + 44*c + 35 = 46*c - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 2:51 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -456, -901, -1356, -1827, -2320, -2841, -3396?\n\"Answer: -l**3 + l**2 - 441*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3 - 1718565*t**2 - 3437127*t - 1718563 = 0. What is t?\nAnswer: -1718563, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-810)\/2175)\/9)\/(4\/20*-3)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 34*t**2 + 14*t - 33. Is i(-5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 - (-5 + (10 + -7 - 10) - 2 - -8)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 5*c**2 - 6. Let m be i(6). Let k be 552\/90 + 2\/(-15). Suppose -5*f + 4*a = -m + 5, f = a + k. Calculate the highest common factor of f and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 67. Let j = -571 + 596. Let d = j + g. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c - 140. What is p(14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.1. Let l = -26.9 + 23. Let q = l + 4. Which is the closest to n? (a) 0.5 (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48526, 97050, 145574, 194098, 242622, 291146?\n\"Answer: 48524*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 + 6*y**2 - 8*y**2. Let j(k) = 5*k**2 - k**2 + k**2. Determine j(p(g)).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p - 49. Suppose -37 + 76 = -3*r. Let t be m(r). Solve -4*b - t*v = -7, -5 = -5*b - v + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/216*(-9)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -37.96. Let z = -0.06 + l. What is the closest to z in 4, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 4. Let t be 12 - -9 - 3*g. Suppose -l - o - 12 = -4*l, 3*l + o = t. Solve -2*h + 1 = -l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4) + (-3 + 1 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/(-39))\/(-3)*(-7 - -6). Which is the third smallest value? (a) 2\/9 (b) 0.1 (c) 0 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 1, v: 1}. Give prob of picking 1 v and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*2986\/13. Let g = t + 115. Let s be 5\/3 + (-4)\/6. Which is smaller: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -269741246*l**3 + 491264616 with respect to l.\nAnswer: -809223738*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 1 + 0 + 5*a**4 + 80*a**4 - a + 3*a**3 + 183*a**4 - a**2 to the form s*a**3 + f*a**2 + k*a**4 + u*a + i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*v - 0*v + 58, v - 64 = c. Let f = c - -59. Let x(b) = -b**2 - 2*b - 3. Give x(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -576668?\nAnswer: -576665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c - 4. Let a be 3 + -2 + 8 + c. Calculate the greatest common factor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 49 + -20 - 21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1938 and 75\/76?\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = x. Let z = 2 - x. Find the second derivative of -g**2 + 0*g**z - g + 0*g wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7624.7858137 - -7531.7858. Let h = -93 - d. What is h rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1015244 (base 8) to base 5\nAnswer: -32101324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: a238 (base 11) to base 16\nAnswer: 3519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -454, -4357, -15146, -36265, -71158?\n\"Answer: -574*o**3 + o**2 + 112*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 8:16 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-3))\/((-10)\/(-150)*-5)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 + 2*q**3 + 2*q - 2*q**2 - 45 + 12 - 26 - 15 in the form h*q + i*q**2 + k + y*q**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 - 9*v**3 - 33*v**2 + v**2 - 16*v**2 + 123 + 3*v.\nAnswer: -9*v**3 - 48*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f - 3 = 0. Let x(u) = u**2 - 10*u - 757. Let d be x(-23). Sort f, -2, d, -10.\nAnswer: -10, -2, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - 44*g**2 - 8. Let c(m) be the third derivative of -m**6\/120 + 29*m**5\/60 + 5*m**3\/6 - 223*m**2. Calculate 5*a(l) + 8*c(l).\nAnswer: 2*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 220355245 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47845023?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/60)\/((-2)\/24). Let h = s + 1. Let n = 273 + -820\/3. Which is the third biggest value? (a) -0.2 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 9. Let o = 14 + m. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303.041*-0.0285.\nAnswer: -8.6366685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/((r*(r**(11\/5)\/r)\/r)\/r)*r)*r*r**18 assuming r is positive.\nAnswer: r**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -3, -3\/43, 4, 95.1, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695973522?\nAnswer: 2, 3, 61, 1901567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002006 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 - (-38)\/9. Let a(x) = 11*x - 351. Let i(s) = 3*s - 100. Let r(p) = -2*a(p) + 7*i(p). Let y(d) = -3*d + 6. What is b*y(n) - 11*r(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 244708.6ug?\nAnswer: 244708600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 + 8*z + 12. Let q(k) = 2*k**3 - 3*k**2 - 9*k - 2. Let r be q(3). Calculate n(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m + 2. Let h(p) = -3*p - 2. Let y(q) = -2*q - 1. Let c(u) = -6*h(u) + 13*y(u). Let k(t) = -11*c(t) - 6*w(t). Suppose s + 1 = 3. Calculate k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 591087726.000443 - 591088442. Let j = -716 - g. Round j to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46206 divided by 582?\nAnswer: -7701\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -16. Let h = 8 + p. Which is the nearest to -2\/7? (a) 0.3 (b) h (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(13\/4)\/b*b*b**(-8\/5) assuming b is positive.\nAnswer: b**(33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16347454.099535 - -16347122.1. Let o = 332 + z. What is o rounded to 5 decimal places?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**2\/2 + 14*z + 34. Calculate c(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - ((-22)\/2 + 3 + 5). Suppose o = b*o - 62. Solve -5*u = 2*q, -5*q + o = -u - 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 15*m**3 + 8*m**2 + 33*m - 111. What is the tens digit of l(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10400092?\nAnswer: 2, 167, 15569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 972847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -14*j + 22*j. Let k(u) = -10*u + 156*u**2 - u**3 - 165*u**2 + 40 - 32. Give k(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2. Let t(b) = -49*b + 30. Let f(q) = -2106*q + 1296. Let g(h) = 5*f(h) - 216*t(h). Give j(g(k)).\nAnswer: -5832*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 57 - 51 - 48 = -l - 159, -4*l - 12 = -19*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 40 = 112. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - z - 504 = 0. Calculate the greatest common factor of z and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 1\/192, 1\/9, 17, -0.3?\nAnswer: 1\/192","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -6 + -3 + 1 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 659 - 2*y + 771 - 1430.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46187638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p - p)*(-4*p + 5*p + p) + (-5*p**2 + 2*p**2 + 2*p**2)*(7 + 15 - 8) + (-2*p + 0*p + 0*p)*(10 - 11*p - 10)*(3 - 2 - 3).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**10*n**(-1\/23)*((n*(n*n\/(n**(-6)\/n))\/n)\/n)**(-34))**(-26\/7) assuming n is positive.\nAnswer: n**(168064\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22170495 is divided by 321.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**3 - 26624*u**2 + 53236*u - 26616 = 0. What is u?\nAnswer: 1, 6654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3154 + 2?\nAnswer: -3152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1498 - 94728178.9.\nAnswer: -94728179.0498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1928096*n**4 - 6*n - 3335028 with respect to n.\nAnswer: 7712384*n**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 t, and 1 x when four letters picked without replacement from {f: 1, a: 1, x: 2, t: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -82, -193, -358, -583, -874?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 3. Let u be z(-5). Suppose -u*g + 7 + 7 = 0. Let y = 2 + g. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 10*q**2 - 9*q - 6. Let j be o(-8). What is the remainder when 137 is divided by (2 - j\/(-7))\/((-8)\/56)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q - 7. Let o be h(-5). Let j = 49 + o. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -119505\/10052 < -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36331, 72659, 108987, 145315, 181643, 217971?\nAnswer: 254299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m**5 - 663*m**4 - 10713*m**3 - 42537*m**2 - 39975*m - 7500 = 0. Calculate m.\nAnswer: -25, -4, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1587*f - 4236*f - 2470*f + 39 - 740*f. Let r be z(21). What is r rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*n + 6. Suppose -s = -2*v + 846, -4*v + n = 4*s - 1698. Suppose -6*t - v = -10*t. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6493815.5 rounded to the nearest 100000?\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y - 2. Let t be b(-2). Suppose -6*f = -t*f - 3*x - 30, 0 = -4*f - 4*x + 40. Calculate the smallest common multiple of f and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*b + 13. Let h be (-10)\/b*24\/(-16). Suppose -p = 3*p - h*z - 78, 114 = 5*p + 2*z. Solve -4*i + 4*g + 6 = -p, 5*i + g = 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 12 = -4*x. Let c = 8 - 6. Let b(v) = v**c + 4*v - x*v + 3 - 7*v. Give b(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1597368 divided by -6441?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 659124055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**3 + 56*v**2 - 71*v - 49. Let m(h) = h**3 + 11*h**2 - 14*h - 10. Let u(l) = 11*m(l) - 2*r(l). Let d be u(-10). Solve -2*c - d = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (4 - (-63)\/(-12)). Put s, -2, -2\/3, 0.5 in descending order.\nAnswer: 0.5, s, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1\/5579601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 24. Let x(g) be the second derivative of -g**4\/6 + 87*g. Calculate x(h(c)).\nAnswer: -8*c**2 + 192*c - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537559 is divided by 268770?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + 51. What are the prime factors of n?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001092079 to five dps.\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(297\/6) - ((-58)\/232)\/(44\/186).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*k**2 - 20*k**2 + 46*k**2 + k**2 - k**2 - k**2 + (6 - 1 - 3)*(-k**2 + 0*k**2 + 0*k**2) - 4*k - 3*k**2 + 4*k.\nAnswer: 70*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16838 - 1?\nAnswer: 16837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, t: 4, x: 3, n: 3, j: 3}. Give prob of picking 1 t and 2 n.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/239 + 488\/1195. Let g be (-14)\/4 + 2\/1. Which is the biggest value? (a) -5 (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3150 divided by 15?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 4.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 470\/705*((-18)\/10)\/3*-210.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346, 962, 1854, 3028, 4490?\nAnswer: 6246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 w, and 1 p when four letters picked without replacement from {h: 1, w: 5, g: 11, p: 2}?\nAnswer: 275\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}